From e325a77b429f81dfefc817d8f1f78cb871d4eae6 Mon Sep 17 00:00:00 2001 From: liyuanhong Date: Thu, 9 Apr 2026 10:14:20 +0800 Subject: [PATCH] =?UTF-8?q?=E7=AC=AC=E4=B8=80=E6=AC=A1=E6=8F=90=E4=BA=A4?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .gitignore | 26 + App/app_get_json.c | 123 + App/app_get_json.h | 31 + App/app_math_info.c | 398 + App/app_math_info.h | 121 + App/app_scan.c | 339 + App/app_scan.h | 44 + App/app_soft.c | 69 + App/app_soft.h | 19 + App/main.c | 137 + App/main.h | 9 + App/sys.c | 248 + App/sys.h | 34 + App/task.c | 37 + App/task.h | 17 + Bsp/bsp_74hc595.c | 177 + Bsp/bsp_74hc595.h | 23 + Bsp/bsp_adc.c | 174 + Bsp/bsp_adc.h | 14 + Bsp/bsp_air.c | 157 + Bsp/bsp_air.h | 80 + Bsp/bsp_airsac.c | 50 + Bsp/bsp_airsac.h | 27 + Bsp/bsp_can.c | 315 + Bsp/bsp_can.h | 26 + Bsp/bsp_flash.c | 249 + Bsp/bsp_flash.h | 72 + Bsp/bsp_led.c | 86 + Bsp/bsp_led.h | 35 + Bsp/bsp_lin.c | 235 + Bsp/bsp_lin.h | 42 + Bsp/bsp_mos.c | 14 + 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/dev/null +++ b/.gitignore @@ -0,0 +1,26 @@ +*.bak +*.ddk +*.edk +*.lst +*.lnp +*.mpf +*.mpj +*.obj +*.omf +*.plg +*.rpt +*.tmp +*.__i +*.crf +*.o +*.d +*.axf +*.tra +*.dep +JLinkLog.txt +*.iex +*.htm +*.sct +*.map +*.Administrator +*.uvopt diff --git a/App/app_get_json.c b/App/app_get_json.c new file mode 100644 index 0000000..3773844 --- /dev/null +++ b/App/app_get_json.c @@ -0,0 +1,123 @@ +#include "app_get_json.h" +#include "cJSON.h" +#include "bsp_uart.h" +#include "string.h" +#include "stdio.h" +#include // atoi +#include "app_scan.h" + +uint8_t uart_rx_buffer[1024]; +cJSON *cjson = NULL; +int Max_resis; +int Min_resis; +int Div_resis; + +// JSON鵽uint8_t +// json_arr: cJSON, arr: Ŀ, max_len: 󳤶 +void parse_json_array(cJSON *json_item, uint8_t *arr, int max_len) { + // 1. ʼΪ0 + memset(arr, 0, max_len * sizeof(uint8_t)); + + // 2. JSONǷЧַͣ + if (json_item == NULL || !cJSON_IsString(json_item) || json_item->valuestring == NULL) { + return; // Чֱַӷ + } + + // 3. ַʱ޸ԭJSONݣ + char temp_buf[64] = {0}; // 㹻12+ŵij + strncpy(temp_buf, json_item->valuestring, sizeof(temp_buf) - 1); + + // 4. ŷַָΪ + char *token = strtok(temp_buf, ","); + int idx = 0; + while (token != NULL && idx < max_len) { + // ѷַָתΪ֣ + arr[idx++] = (uint8_t)atoi(token); + token = strtok(NULL, ","); + } +} + + +int get_Json_data(json_data_struct * sys){ + int result = -1; // 1 ʾɹֵʾ + uint16_t uart_get_num = usart_rx_get_rx_data_count(USART_3_TR); + + // ֻеڽյʱŽн + if(uart_get_num > 0 && uart_get_num < sizeof(uart_rx_buffer)){ // ӻ + // ȡڽյݵ + uint16_t get_size = usart_rx_recv(USART_3_TR, uart_rx_buffer, uart_get_num); + + // ȷݶȡɹ + if(get_size != uart_get_num){ + memset(uart_rx_buffer, 0, sizeof(uart_rx_buffer)); // ջ + return -2; // ȡʧܴ + } + + // ͷ֮ǰcJSONڴ棬ڴй© + if(cjson != NULL ){ + cJSON_Delete(cjson); + cjson = NULL; // ͷźÿգҰָ + } + + // JSONַڻתΪcJSON + cjson = cJSON_Parse((const char*)uart_rx_buffer); + memset(uart_rx_buffer, 0, sizeof(uart_rx_buffer));//ɣ + if (cjson != NULL) { + // 2. λȡJSONеֶΣЧԼ + cJSON *Max_resis_item = cJSON_GetObjectItem(cjson, "Max_resis"); + cJSON *Min_resis_item = cJSON_GetObjectItem(cjson, "Min_resis"); + cJSON *Div_resis_item = cJSON_GetObjectItem(cjson, "Div_resis"); + + + cJSON *x_rank_arr = cJSON_GetObjectItem(cjson, "x_rank"); + cJSON *y_rank_arr = cJSON_GetObjectItem(cjson, "y_rank"); + if(x_rank_arr != NULL && y_rank_arr != NULL) + { + uint8_t x_rank[12] = {0}; + parse_json_array(x_rank_arr, x_rank, 12); + + // 3. ֱӽy_rank JSON + + uint8_t y_rank[12] = {0}; + parse_json_array(y_rank_arr, y_rank, 12); + + // 4. ñ溯 + save_config_ranks(x_rank, y_rank); + } + + // ҪֶǷΪַͣJSONֵַʽ + if(Max_resis_item != NULL && cJSON_IsString(Max_resis_item) && + Min_resis_item != NULL && cJSON_IsString(Min_resis_item) && + Div_resis_item != NULL && cJSON_IsString(Div_resis_item)) + { + // 3. ַ͵ֵתΪint洢ṹ + Max_resis = atoi(Max_resis_item->valuestring); + Min_resis = atoi(Min_resis_item->valuestring); + Div_resis = atoi(Div_resis_item->valuestring); + sys->max_trigger_res_value = Max_resis; + sys->min_trigger_res_value = Min_resis; + sys->div_trigger_res = Div_resis; + result = 1; // ɹ1 + } + else{ + result = -3; // ֶȱʧʹ + } + + // 4. cJSONڴ棨ɺͷţڴй© + cJSON_Delete(cjson); + cjson = NULL; // ÿգֹظͷ + } + else{ + result = -4; // JSONʽ󣬽ʧ + } + + // մڽջ׼һν + + } + else{ + result = -5; // ݻݳС + } + + return result; +} + diff --git a/App/app_get_json.h b/App/app_get_json.h new file mode 100644 index 0000000..b23cf93 --- /dev/null +++ b/App/app_get_json.h @@ -0,0 +1,31 @@ +#ifndef _APP_GET_JSON_H +#define _APP_GET_JSON_H +#include "stdint.h" +#include "cJSON.h" + +#pragma pack (1) +typedef struct +{ + uint16_t output_mode; + uint16_t output_ax; + uint16_t output_ay; + uint16_t min_trigger_res_value; + uint16_t max_trigger_res_value; + uint16_t div_trigger_res; +}json_data_struct; + +typedef int (*json_cmd_handle)(void *data); + +typedef struct json_callback_struct +{ + char * name; //jsonֵ + json_cmd_handle handle; //ص + struct json_callback_struct *child_ptr; //Ŀ¼ + uint8_t child_num; //Ŀ¼Ŀ +}json_callback_t; +#pragma pack () + +int get_Json_data(json_data_struct * sys); +cJSON* creat_body_json(uint8_t style,int coor_x, int coor_y); + +#endif diff --git a/App/app_math_info.c b/App/app_math_info.c new file mode 100644 index 0000000..d45d669 --- /dev/null +++ b/App/app_math_info.c @@ -0,0 +1,398 @@ +#include "app_math_info.h" + +uint8_t frame_state =0;//ָ֡״̬ +uint8_t cali_frame_state =0;//У׼ָ֡״̬ + +// ȫֱʼģʽĬ״̬ģʽ +ARRAY_RESI_INIT_MODE_TYPE_T resi_init_mode = STATE; + +// ȫֱУ׼ģʽĬϳʼ״̬ +ARRAY_RESI_CALI_MODE_TYPE_T resi_cali_mode = CALI_INIT; + +uint8_t array_resi_init_params_read_buf[MAX_BUF_SIZE] = {0}; +uint8_t array_resi_init_params_write_buf[MAX_BUF_SIZE] = {0}; + + + +// У׼3XYᣩ +uint8_t cali_adc_params[CALI_POINT_NUM * AX_NUM * AY_NUM] = {0}; + +// ȫֻУ׼д +uint8_t array_resi_cali_params_write_buf[MAX_BUF_SIZE] = {0}; +uint8_t array_resi_cali_params_read_buf[MAX_BUF_SIZE] = {0}; + +uint8_t success_protocal[ARRAY_RESI_INIT_PARAMS_LEN] = {0x6F,0x6F,0x6F,0x6B,0x6B,0x6B}; +uint8_t fail_protocal[ARRAY_RESI_INIT_PARAMS_LEN] = {0x6E,0x6E,0x6E,0x6F,0x6F,0x6F}; +//static uint8_t static_protocal[ARRAY_RESI_INIT_PARAMS_LEN] = {0}; +//extern uint8_t adc_read_sw; +/** + * õгʼģʽ + * @param stateģʽSTATE/DATA + */ +void set_array_resi_init_mode_type(ARRAY_RESI_INIT_MODE_TYPE_T state) +{ + resi_init_mode = state; +} + +/** + * ȡгʼģʽ + * @return ǰģʽ + */ +ARRAY_RESI_INIT_MODE_TYPE_T get_resi_array_init_mode_type(void) +{ + return resi_init_mode; +} + + +////////////////////////////////////////////////////////////////////////// + +/** + * õУ׼ģʽ + * @param stateģʽCALI_SUCCESS/CALI_FAILȣ + */ +void set_array_resi_cali_mode_type(ARRAY_RESI_CALI_MODE_TYPE_T state) +{ + resi_cali_mode = state; +} + +/** + * ȡУ׼ģʽ + * @return ǰģʽ + */ +ARRAY_RESI_CALI_MODE_TYPE_T get_resi_array_cali_mode_type(void) +{ + return resi_cali_mode; +} + + + +uint8_t array_resi_params_write(mx_frame_struct *buf) +{ + mx_frame_struct frame; + + // 1. Э + uint16_t min_resi = (buf->data[1] << 8) | buf->data[0]; + uint16_t max_resi = (buf->data[3] << 8) | buf->data[2]; + uint16_t ref_resi = (buf->data[5] << 8) | buf->data[4]; + + //printf("min_resi is %d, %d %d\n",min_resi,max_resi,ref_resi); + // 2. ЧԼ + if(min_resi >= max_resi) { + frame.trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame.type = get_resi_array_init_mode_type(); + frame.data = fail_protocal; + frame.datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, &frame); + return 0; // Ч + } + + // 3. ? µȫã棩 + g_sys_config.min_trigger_res_value = min_resi; + g_sys_config.max_trigger_res_value = max_resi; + g_sys_config.div_trigger_res = ref_resi; + + // 4. Ӧõѧ +// math_resi_init(max_resi, min_resi, ref_resi, MAX_ADC_VALUE, DEFAULT_MAX_DISPLAY_VALUE); +// min_trigger_res_value1 + math_resi_init(g_sys_config.max_trigger_res_value, g_sys_config.min_trigger_res_value, g_sys_config.div_trigger_res, 4096, 255); + + // 5. ͳɹӦ + frame.trantype = 0x04; + set_array_resi_init_mode_type(DATA); + frame.type = get_resi_array_init_mode_type(); + frame.data = success_protocal; + frame.datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, &frame); + + return 1; // ɹ +} + +/** + * Flash + * @brief Эݲ־û + */ +uint8_t array_resi_params_save(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + // 1. Э + static uint16_t min_resi=0; + static uint16_t max_resi=0; + static uint16_t ref_resi=0; + min_resi = (frame->data[1] << 8) | frame->data[0]; + max_resi = (frame->data[3] << 8) | frame->data[2]; + ref_resi = (frame->data[5] << 8) | frame->data[4]; + //printf("%d, %d %d\n",min_resi,max_resi,ref_resi); + // 2. ЧԼ + if(min_resi > max_resi) { + frame->trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame->type = get_resi_array_init_mode_type(); + frame->data = fail_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + + } + + // 3. ? µȫ + g_sys_config.min_trigger_res_value = min_resi; + g_sys_config.max_trigger_res_value = max_resi; + g_sys_config.div_trigger_res = ref_resi; + + // 4. 浽Flashʹͳһӿڣ + if(save_sys_config(&g_sys_config) != 0) { + frame->trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame->type = get_resi_array_init_mode_type(); + frame->data = fail_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + } + + delay_ms(5); // ȴFlashд + + // 5.֤¼ + + if(load_config_params(&g_flash_para) == 1) { + // ֤ɹӦ² +// math_resi_init(max_resi, min_resi, ref_resi, MAX_ADC_VALUE, DEFAULT_MAX_DISPLAY_VALUE); + math_resi_init(g_sys_config.max_trigger_res_value, g_sys_config.min_trigger_res_value, g_sys_config.div_trigger_res, 4096, 255); + + frame->trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame->type = get_resi_array_init_mode_type(); + frame->data = success_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + return 1; + } + else { + frame->trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame->type = get_resi_array_init_mode_type(); + frame->data = fail_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + return 0; + } +} + +/** + * ָĬֵ + * @brief FlashָĬ + */ +uint8_t clear_array_init_info(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + + // 1. ? ׼Ĭϲ default_config ȡ + uint8_t temp_data[6]; + temp_data[0] = default_config.min_trigger_res_value & 0xFF; + temp_data[1] = (default_config.min_trigger_res_value >> 8) & 0xFF; + temp_data[2] = default_config.max_trigger_res_value & 0xFF; + temp_data[3] = (default_config.max_trigger_res_value >> 8) & 0xFF; + temp_data[4] = default_config.div_trigger_res & 0xFF; + temp_data[5] = (default_config.div_trigger_res >> 8) & 0xFF; + + // 2. ʱ frame->data ڵ array_resi_params_write + frame->data = temp_data; + array_resi_params_write(frame); // ӦĬϲ + + // 3. ? Flashãʹõײӿڣ + flash_erase(FMC_WRITE_START_ADDR); + + // 4. ֤ + uint16_t verify_buf[3]; + flash_read(FMC_WRITE_START_ADDR, verify_buf, 3); + + frame->trantype = 0x04; + set_array_resi_init_mode_type(STATE); + frame->type = get_resi_array_init_mode_type(); + + if(verify_buf[0] == 0xFFFF && verify_buf[1] == 0xFFFF && verify_buf[2] == 0xFFFF) { + frame->data = success_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + return 1; // ɹ + } + else { + frame->data = fail_protocal; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR, frame); + return 0; // ʧ + } +} + +/** + * صǰ + * @brief ȡ͵ǰ + */ +uint8_t return_array_resi_init_info(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + + // 1. ? ׼ݣ g_sys_config ȡ + static uint8_t response_data[6]; + response_data[0] = g_sys_config.min_trigger_res_value & 0xFF; + response_data[1] = (g_sys_config.min_trigger_res_value >> 8) & 0xFF; + response_data[2] = g_sys_config.max_trigger_res_value & 0xFF; + response_data[3] = (g_sys_config.max_trigger_res_value >> 8) & 0xFF; + response_data[4] = g_sys_config.div_trigger_res & 0xFF; + response_data[5] = (g_sys_config.div_trigger_res >> 8) & 0xFF; + + // 2. + set_array_resi_init_mode_type(DATA); + frame->trantype = 0x04; + frame->type = get_resi_array_init_mode_type(); + frame->data = response_data; + frame->datalen = ARRAY_RESI_INIT_PARAMS_LEN; + mx_serial_tx_frame(USART_3_TR,frame); + + return 1; +} + + + + + +// 0x03 // У׼ +/** + * @brief дУ׼ʱӦã浽Flash + * @param buf Эָ֡ + */ +void math_resi_array_cali_write(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + uint8_t empty_data = 0; + + // 1. ? ֱӸƵmap_sysӳ + if(frame->datalen == ((CALI_POINT_NUM * AX_NUM*AY_NUM)+ 6)){ + memcpy(map_sys.map_matrix, frame->data, CALI_POINT_NUM * AX_NUM*AY_NUM); + set_array_resi_cali_mode_type(CALI_SUCCESS); + } + else { + set_array_resi_cali_mode_type(CALI_FAIL); + } + + // 2. Ӧ + frame->trantype = 0x03; + frame->type = get_resi_array_cali_mode_type(); + frame->data = &empty_data; + frame->datalen = 1; + + mx_serial_tx_frame(USART_3_TR, frame); +} + +/** + * @brief У׼Flash + * @param buf Эָ֡ + */ +void math_resi_array_cali_save(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + uint8_t empty_data = 0; + flash_map_struct verify_map; + + // 1. ? У׼ݵmap_sys + if(frame->datalen != ((CALI_POINT_NUM * AX_NUM*AY_NUM)+6)) { + set_array_resi_cali_mode_type(CALI_FAIL); + goto send_response; + } + + memcpy(map_sys.map_matrix, frame->data, CALI_POINT_NUM * AX_NUM*AY_NUM); + + // 2. FlashУ׼ + flash_erase(FMC_WRITE_MAP_ADDR); + + // 3. ʹͳһӿڱ浽Flash + if(save_config_maps(&map_sys) != 0) { + set_array_resi_cali_mode_type(CALI_FAIL); + goto send_response; + } + + delay_ms(2); // ȴFlashд + + // 4. ֤¼زȶ + if(load_config_maps(&verify_map) != 1) { + set_array_resi_cali_mode_type(CALI_FAIL); + goto send_response; + } + + // 5. ֤ؼУ׼㣨ǰ3У׼׸㣩 + if(verify_map.map_matrix[0] != 0xFF && + verify_map.map_matrix[AX_NUM*AY_NUM] != 0xFF && + verify_map.map_matrix[2 * AX_NUM*AY_NUM] != 0xFF) { + set_array_resi_cali_mode_type(CALI_SUCCESS); + } + else { + set_array_resi_cali_mode_type(CALI_FAIL); + } + +send_response: + // 6. Ӧ + + frame->trantype = 0x03; + frame->type = get_resi_array_cali_mode_type(); + frame->data = &empty_data; + frame->datalen = 1; + + mx_serial_tx_frame(USART_3_TR, frame); +} + +/** + * @brief У׼ָĬӳ䣩 + * @param buf Эָ֡ + * @return 1=ɹ, 0=ʧ + */ +uint8_t cali_params_clear(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + uint8_t empty_data = 0; + uint16_t verify_buf[3]; + + frame->trantype = 0x03; + frame->data = &empty_data; + frame->datalen = 1; + + // 1. ? FlashУ׼ + flash_erase(FMC_WRITE_MAP_ADDR); + memset(map_sys.map_matrix, 0, sizeof(map_sys.map_matrix)); + // 2. ? ֤ȡǰ3֣ + flash_read(FMC_WRITE_MAP_ADDR, verify_buf, 3); + + if(verify_buf[0] == 0xFFFF && verify_buf[1] == 0xFFFF && verify_buf[2] == 0xFFFF) { + // 3. ? ɹָĬӳRAM + + memcpy(map_matrix_init, map_sys.map_matrix, sizeof(map_matrix_init)); + + set_array_resi_cali_mode_type(CALI_SUCCESS); + frame->type = get_resi_array_cali_mode_type(); + mx_serial_tx_frame(USART_3_TR, frame); + return 1; + } + else { + set_array_resi_cali_mode_type(CALI_FAIL); + frame->type = get_resi_array_cali_mode_type(); + mx_serial_tx_frame(USART_3_TR, frame); + return 0; + } +} + +/** + * @brief صǰУ׼ + * @param buf Эָ֡ + */ +void cali_params_return(void *buf) +{ + mx_frame_struct *frame = (mx_frame_struct *)buf; + + frame->trantype = 0x03; + set_array_resi_cali_mode_type(CALI_RETURN); + frame->type = get_resi_array_cali_mode_type(); + + + frame->data = map_sys.map_matrix; + frame->datalen = CALI_POINT_NUM * AX_NUM * AY_NUM; + + mx_serial_tx_frame(USART_3_TR, frame); +} diff --git a/App/app_math_info.h b/App/app_math_info.h new file mode 100644 index 0000000..5fe7c1e --- /dev/null +++ b/App/app_math_info.h @@ -0,0 +1,121 @@ +#ifndef __APP_MATH_INFO_H +#define __APP_MATH_INFO_H +#include "at32a423.h" +#include "at32a423_clock.h" +#include "systick.h" +#include "sysconfig.h" +#include "main.h" + +#include "bsp_flash.h" + +#include "bsp_uart.h" + +#include "string.h" +#include "stdint.h" + +#include "mx_frame_core.h" +#include "mx_serial.h" +#include "cali_process.h" +#include "resi_math_lib.h" + +#define CALI_POINT_NUM 3 +#define SINGLE_MATH_CALI_PARAMS_PARAMS_SECTOR_SIZE 1 // flashС +#define ARRAY_RESI_INIT_PARAMS_LEN 6 //ƬظλϢ + +// ʾĬֵ +#define DEFAULT_MIN_DISPLAY_VALUE 0 // ĬСʾֵ +#define DEFAULT_MAX_DISPLAY_VALUE 255 // Ĭʾֵ +#define MAX_ADC_VALUE 4095 // ADCֵ12λADC + +// ʼĬֵ +#define DEFAULT_MIN_RESI_INIT_VALUE 2100 // ĬСʼֵ +#define DEFAULT_MAX_RESI_INIT_VALUE 25000 // Ĭʼֵ +#define DEFAULT_DIVID_RESI_VALUE 2700 // Ĭϵѹֵ + + + +#define MAX_BUF_SIZE (CALI_POINT_NUM * AX_NUM * AY_NUM) + + +#define ARRAY_RESI_INIT_PARAMS_ADDRS 0x0800B800 + +// ֡ͷʶڴ֡ͬ +#define HEAD 0xA55A + +// ͺ壨ֲͬܵĴ֡ +#define ARRAY_RESI_INIT_TRAN_TYPE 0x04 // гʼ +#define ARRAY_RESI_VALUE_RETURN_CMD 0x2F // ֵ +#define INIT_RESI_WRITE_CMD 0x3F // ʼд +#define INIT_RESI_SAVE_CMD 0x3D // ʼ豣 +#define INIT_RESI_CLEAR_CMD 0x1A // ʼ + +#define SINGLE_RESI_CALI_TRAN_TYPE 0x03 // У׼ +#define SINGLE_CALI_RESI_WRITE_CMD 0x3F // У׼д +#define SINGLE_CALI_RESI_SAVE_CMD 0x3D // У׼豣 +#define CALI_RESI_VALUE_RETURN_CMD 0x2F // У׼ֵ +#define SINGLE_CALI_RESI_CLEAR_CMD 0x1A // У׼ + + + +extern uint8_t array_resi_init_params_read_buf[MAX_BUF_SIZE]; +extern uint8_t array_resi_init_params_write_buf[MAX_BUF_SIZE]; + +extern uint8_t array_resi_cali_params_write_buf[MAX_BUF_SIZE]; +extern uint8_t array_resi_cali_params_read_buf[MAX_BUF_SIZE]; + +extern uint8_t success_protocal[ARRAY_RESI_INIT_PARAMS_LEN]; +extern uint8_t fail_protocal[ARRAY_RESI_INIT_PARAMS_LEN]; + +//extern uint8_t success_protocal[ARRAY_RESI_INIT_PARAMS_LEN]; +//extern uint8_t fail_protocal[ARRAY_RESI_INIT_PARAMS_LEN]; + +extern uint8_t frame_state;//ָ֡״̬ +extern uint8_t cali_frame_state;//У׼ָ֡״̬ + +// гʼģʽö٣ڱʶʼ״̬ +typedef enum{ + STATE = 0x73, // ״̬ģʽ0x73's'ASCII룩 + DATA = 0x64, // ģʽ0x64'd'ASCII룩 +}ARRAY_RESI_INIT_MODE_TYPE_T; + +// У׼ģʽö٣ڱʶУ׼״̬ +typedef enum{ + CALI_SUCCESS = 0x01, // У׼ɹ + CALI_FAIL = 0x02, // У׼ʧ + CALI_INIT = 0x00, // У׼ʼ״̬ + CALI_RETURN = 0x4F, // У׼أ0x4F'O'ASCII룩 +}ARRAY_RESI_CALI_MODE_TYPE_T; + + + +// У׼ݷ֡ṹ +typedef struct{ + uint16_t sof; // ֡ͷ + uint8_t tran_type; // + uint16_t len; // ݳ + uint8_t mode; // У׼ģʽ + uint8_t cali_params[3 * AX_NUM * AY_NUM]; // У׼3XYᣩ + uint16_t checksum; // У +}ARRAY_RESI_CALI_DATA_RETURN_SERIAL_FRAME_T; + +// õгʼģʽ +void set_array_resi_init_mode_type(ARRAY_RESI_INIT_MODE_TYPE_T state); +// ȡгʼģʽ +ARRAY_RESI_INIT_MODE_TYPE_T get_resi_array_init_mode_type(void); + +// صгʼϢ +uint8_t return_array_resi_init_info(void *buf); + +void set_array_resi_cali_mode_type(ARRAY_RESI_CALI_MODE_TYPE_T state); + +ARRAY_RESI_CALI_MODE_TYPE_T get_resi_array_cali_mode_type(void); + +uint8_t array_resi_params_write(mx_frame_struct *buf); +uint8_t array_resi_params_save(void *buf); +uint8_t clear_array_init_info(void *buf); +void math_resi_array_cali_write(void *buf); +void math_resi_array_cali_save(void *buf); +uint8_t cali_params_clear(void *buf); // ͷļ voidԴļд uint8_t +void cali_params_return(void *buf); + +#endif diff --git a/App/app_scan.c b/App/app_scan.c new file mode 100644 index 0000000..cee1abd --- /dev/null +++ b/App/app_scan.c @@ -0,0 +1,339 @@ +#include "app_scan.h" +#include "bsp_rs2251.h" +#include "main.h" + +#include "bsp_74hc595.h" +#include "bsp_adc.h" +#include "resi_math_lib.h" +#include "string.h" +#include "mx_serial.h" +#include "app_soft.h" +#include "bsp_can.h" +#include "systick.h" + +#include "lib_cal_creep_resistance.h" +#include "app_calibration.h" +#include "mozen_protocol.h" +#include "app_mozen_handler.h" +#include "flash_port.h" +#include "bsp_flash.h" +enum scan_ad { + changge_low, + changge_low1, + changge_low2, + changge_low3, + getAD_L0, + getAD_L1, + getAD_L2, + getAD_L3, + getAD_L4, + getAD_L5, + getAD_L6, + getAD_L7, + fast_l, + changge_hig, + changge_hig1, + changge_hig2, + changge_hig3, + getAD_H0, + getAD_H1, + getAD_H2, + getAD_H3, + getAD_H4, + getAD_H5, + getAD_H6, + getAD_H7, + get_break +}state; +uint8_t hc595_ranks[] = {7,6,5,4,3,2,1,0,15,14,13,12};//ʼĬ +int flag_send = 0; +volatile uint8_t scan_num = 0; + +static uint16_t cailed_sensor_data[MT_AX_NUM][MT_AY_NUM];//16bit +static uint8_t frame8bit[MT_AX_NUM][MT_AY_NUM];//8bit + +adc_value_frame_struct temp_adc_value; + +uint64_t task_tick = 0; + +uint8_t serial_tx_buffer[AX_NUM][AY_NUM] = {0};//ԭʼ + +cal_creep_resistance_t creep_strength_value; +uint8_t Matrix_Stab[AX_NUM][AY_NUM] = {0}; +uint8_t Matrix_Creep[AX_NUM][AY_NUM] = {0}; +uint8_t Matrix_Display[AX_NUM][AY_NUM] = {0}; +mx_frame_struct mx_sensor_frame; + +int print_counter = 0; + + +void Hc4051Delay(uint32_t num) +{ + while(num --); +} + +void usart_event_handler(void) +{ + static uint16_t recv_len = 0; + static uint8_t rx_buffer[1024] = {0x00}; + + recv_len = usart_rx_recv(USART_3_TR, rx_buffer, sizeof(rx_buffer)); + + if(recv_len > 0) + { + uint16_t i; + for (i = 0; i < recv_len; i++) + { + mozen_protocol_feed_byte(&g_mozen_prot, rx_buffer[i], 0); + } + + } + + +} + + +/* +* @function: +* @param: frame: ֡ +* @param: len: ݳ +* @return: 0:ɹ -1:ʧ +*/ +static int mozen_uart_tx(const uint8_t *frame, uint16_t len) +{ + if ((frame == NULL) || (len == 0U)) { + return -1; + } + + usart_tx_push(USART_3_TR, (uint8_t *)frame,len); + + return 0; +} + +void app_user_map_init(void){ + mx_sensor_frame.trantype = 0x01; + mx_sensor_frame.type = 0x01; + mx_sensor_frame.datalen = sizeof(serial_tx_buffer); + creep_strength_value.x_max = AX_NUM; + creep_strength_value.y_max = AY_NUM; + + creep_strength_value.matrix_stab = (uint8_t*)Matrix_Stab; + creep_strength_value.matrix_creep = (uint8_t*)Matrix_Creep; + creep_strength_value.matrix_display = (uint8_t*)Matrix_Display; + + app_mozen_init(mozen_uart_tx); + flash_port_ops_t flash_ops = + { + .read = flash_read, + .write = flash_write, + .erase = flash_erase, + .is_erased = bsp_flash_is_erased + }; + app_calibration_init(&flash_ops); +} + + +uint64_t time_tmr1; +void AD_Sacn(){ +// if(state >= get_break){ +// return; +// } + switch(state){ + case changge_low: + REF_OUT(1);//ɨ + ic_74hc595_clean_0(32); + break; + case changge_low1: + break; + case changge_low2: + break; + case changge_low3: + break; + case getAD_L0: + temp_adc_value.sensor_iqr_ref_value[scan_num][0] = GetAdcValue(1); + temp_adc_value.sensor_iqr_ref_value[scan_num][8] = GetAdcValue(0); + Choose_AX_Channel(4); + break; + case getAD_L1: + temp_adc_value.sensor_iqr_ref_value[scan_num][1] = GetAdcValue(1); + temp_adc_value.sensor_iqr_ref_value[scan_num][9] = GetAdcValue(0); + Choose_AX_Channel(2); + break; + case getAD_L2: + temp_adc_value.sensor_iqr_ref_value[scan_num][2] = GetAdcValue(1); + temp_adc_value.sensor_iqr_ref_value[scan_num][10] = GetAdcValue(0); + Choose_AX_Channel(1); + break; + case getAD_L3: + temp_adc_value.sensor_iqr_ref_value[scan_num][3] = GetAdcValue(1); + temp_adc_value.sensor_iqr_ref_value[scan_num][11] = GetAdcValue(0); + Choose_AX_Channel(7); + break; + case getAD_L4: + temp_adc_value.sensor_iqr_ref_value[scan_num][7] = GetAdcValue(1); + Choose_AX_Channel(5); + break; + case getAD_L5: + temp_adc_value.sensor_iqr_ref_value[scan_num][6] = GetAdcValue(1); + Choose_AX_Channel(3); + break; + case getAD_L6: + temp_adc_value.sensor_iqr_ref_value[scan_num][5] = GetAdcValue(1); + Choose_AX_Channel(0); + break; + case getAD_L7: + temp_adc_value.sensor_iqr_ref_value[scan_num][4] = GetAdcValue(1); + Choose_AX_Channel(6); + state = fast_l; + break; + case fast_l: + REF_OUT(1);//ɨ + ic_74hc595_clean_0(32); + break; + case changge_hig: + REF_OUT(0); + ic_74hc595_io_write_1(hc595_ranks[scan_num]); + break; + case changge_hig1: + + break; + case changge_hig2: + + break; + case changge_hig3: + + break; + case getAD_H0: + temp_adc_value.sensor_iqr_raw_value[0] = GetAdcValue(1); + temp_adc_value.sensor_iqr_raw_value[8] = GetAdcValue(0); + Choose_AX_Channel(4); + break; + case getAD_H1: + temp_adc_value.sensor_iqr_raw_value[1] = GetAdcValue(1); + temp_adc_value.sensor_iqr_raw_value[9] = GetAdcValue(0); + Choose_AX_Channel(2); + break; + case getAD_H2: + temp_adc_value.sensor_iqr_raw_value[2] = GetAdcValue(1); + temp_adc_value.sensor_iqr_raw_value[10] = GetAdcValue(0); + Choose_AX_Channel(1); + break; + case getAD_H3: + temp_adc_value.sensor_iqr_raw_value[3] = GetAdcValue(1); + temp_adc_value.sensor_iqr_raw_value[11] = GetAdcValue(0); + Choose_AX_Channel(7); + break; + case getAD_H4: + temp_adc_value.sensor_iqr_raw_value[7] = GetAdcValue(1); + Choose_AX_Channel(5); + break; + case getAD_H5: + temp_adc_value.sensor_iqr_raw_value[6] = GetAdcValue(1); + Choose_AX_Channel(3); + break; + case getAD_H6: + temp_adc_value.sensor_iqr_raw_value[5] = GetAdcValue(1); + Choose_AX_Channel(0); + break; + case getAD_H7: + temp_adc_value.sensor_iqr_raw_value[4] = GetAdcValue(1); + Choose_AX_Channel(6); + break; + case get_break: + return; + + } + state++; +} + +void IRQ_Scan(adc_value_frame_struct *adc_raw_value){ + static math_resi_cal_t math_resi_cal = {0}; + static int math_scan_num = 0; + __disable_irq(); + math_scan_num = scan_num; + memcpy(adc_raw_value->sensor_raw_value,adc_raw_value->sensor_iqr_raw_value,24); + memcpy(adc_raw_value->sensor_ref_value,adc_raw_value->sensor_iqr_ref_value[math_scan_num],24); + + + scan_num++; + if(scan_num == AX_NUM) + { + scan_num = 0; + flag_send= 1; + print_counter++; + if(print_counter == 10) + { + print_counter = 0; + } + } + if(print_counter >= 9){ + state = changge_low; + } + else + state = fast_l; + __enable_irq(); + + math_resi_cal.sensor_adc_value = adc_raw_value->sensor_raw_value; + math_resi_cal.resi_adc_value = adc_raw_value->sensor_ref_value; + math_resi_cal.math_number = AX_NUM; + + + + math_resi_cali_once(&math_resi_cal, + adc_raw_value->sensor_resi_output, + AX_NUM, + SCAN_LOW_LEVEL); + + math_display_resi(adc_raw_value->sensor_resi_output, + adc_raw_value->sensor_display_output, + AX_NUM, + RESI_BACKWARDS, + SINGLE_BYTE); + + memcpy(adc_raw_value->sensor_voltage[math_scan_num],adc_raw_value->sensor_display_output,AX_NUM); + +} + +void scan_deal(void){ + if(state >= get_break) + { + IRQ_Scan(&temp_adc_value); + } + +} + + + +void TMR1_OVF_TMR10_IRQHandler(void) +{ + // жϱ־λ󴥷 + if(tmr_flag_get(TMR1, TMR_OVF_FLAG) != RESET) + { + AD_Sacn(); + // жϱ־λ޴ж + tmr_flag_clear(TMR1, TMR_OVF_FLAG); + } +} +int counter_fps; +int counter_fps1; +void adc_deal(void){ + if(flag_send == 1){ + flag_send = 0; + memcpy(frame8bit,temp_adc_value.sensor_voltage,144); + mx_sensor_frame.data = (uint8_t *)frame8bit; + mx_serial_tx_frame(USART_3_TR,&mx_sensor_frame); + counter_fps++; + + } + if((get_system_tick() - task_tick) >= 1000){ + task_tick = get_system_tick(); + counter_fps1 = counter_fps; + counter_fps = 0; + } + +} + + + + + diff --git a/App/app_scan.h b/App/app_scan.h new file mode 100644 index 0000000..0714665 --- /dev/null +++ b/App/app_scan.h @@ -0,0 +1,44 @@ +#ifndef _BSP_SCAN_H +#define _BSP_SCAN_H +#include "stdint.h" +#include "main.h" +/*32x64 Data_Array*/ +typedef struct +{ + uint16_t sensor_iqr_raw_value[AX_NUM]; + uint16_t sensor_iqr_ref_value[AX_NUM][AY_NUM]; + uint16_t sensor_raw_value[AX_NUM]; + uint16_t sensor_ref_value[AX_NUM]; + + uint16_t sensor_resi_output[AX_NUM]; + uint8_t sensor_display_output[AX_NUM]; + + uint8_t sensor_voltage[AX_NUM][AY_NUM]; + +// uint16_t sensor1_voltage[AX_NUM][AY_NUM];//16bit + uint8_t sensor_filter[AX_NUM][AY_NUM]; +}adc_value_frame_struct; + + +typedef enum +{ + REFER_RESISTACE, + RAW_RESISTACE +}RESISTACE_NAME; + + + +#define RANKS_ADDRESS (0x08000000 + 1024 * 68) +#define RANKS_HEAD 0XA55AA55A +#define RANKS_TAIL 0X5AA55AA5 + +void IRQ_Scan(adc_value_frame_struct *adc_raw_value); +void u8_cail_deal(void); +void adc_deal(void); +void scan_deal(void); +void app_user_map_init(void); + +//void scan(adc_value_frame_struct *adc_raw_value,uint8_t scan_num); +int line_init(void); +int save_config_ranks(uint8_t x[12],uint8_t y[12]); +#endif diff --git a/App/app_soft.c b/App/app_soft.c new file mode 100644 index 0000000..34ff54e --- /dev/null +++ b/App/app_soft.c @@ -0,0 +1,69 @@ +#include "app_soft.h" +#include "app_scan.h" +#include "bsp_flash.h" +#include "string.h" + +#pragma pack (1) +typedef struct +{ + uint8_t ax; + uint8_t ay; + uint16_t compensation_rate; +}sort_value_struct; +#pragma pack () + + +uint8_t scan_X_line[] = {0,1,2,3,4,5,6,7,8,9,10,11}; +uint8_t scan_Y_line[] = {0,1,2,3,4,5,6,7,8,9,10,11}; + +rank_frame_struct ranks; + +//˫·adc +int read_rank_flash(rank_frame_struct *params){ + uint32_t *head = (uint32_t*)RANKS_ADDRESS; + uint32_t *tail = (uint32_t*)(RANKS_ADDRESS + sizeof(rank_frame_struct) - 4); + + if(*head == RANKS_HEAD && *tail == RANKS_TAIL) + { + memcpy((uint32_t *)params, head, sizeof(rank_frame_struct)); + return 1; + } + else + { + return -1; + } +} + + + +int line_init(void){ + if(read_rank_flash(&ranks) == 1){ +// memcpy(scan_X_line, ranks.x_rank, sizeof(scan_X_line)); +// memcpy(scan_Y_line, ranks.y_rank, sizeof(scan_Y_line)); + return 1; + } + + return 0; // ʼɹ +} + +int save_config_ranks(uint8_t x[12],uint8_t y[12]) +{ + ranks.head = RANKS_HEAD; + ranks.tail = RANKS_TAIL; + memcpy(ranks.x_rank, x, sizeof(scan_X_line)); + memcpy(ranks.y_rank, y, sizeof(scan_Y_line)); + flash_write(RANKS_ADDRESS,(uint16_t *)&ranks, sizeof(rank_frame_struct)/sizeof(uint16_t)); + line_init(); + return 0; +} + + +void soft_sensor(adc_value_frame_struct *adc_raw_value) +{ + for(uint8_t ax = 0; ax < AX_NUM; ax++){ + for(uint8_t ay = 0; ay < AY_NUM; ay++) + { +// adc_raw_value->sensor_soft_value[ay][ax] = adc_raw_value->sensor_voltage[scan_Y_line[ay]][scan_X_line[ax]]; + } + } +} diff --git a/App/app_soft.h b/App/app_soft.h new file mode 100644 index 0000000..6d4b3bd --- /dev/null +++ b/App/app_soft.h @@ -0,0 +1,19 @@ +#ifndef _APP_SOFT_H +#define _APP_SOFT_H +#include "app_scan.h" + + +typedef struct +{ + uint32_t head; + uint8_t x_rank[12]; + uint8_t y_rank[12]; + uint32_t tail; +}rank_frame_struct; + + +void soft_sensor(adc_value_frame_struct *adc_raw_value); + + +#endif + diff --git a/App/main.c b/App/main.c new file mode 100644 index 0000000..983e21d --- /dev/null +++ b/App/main.c @@ -0,0 +1,137 @@ +/** + ************************************************************************** + * @file main.c + * @brief main program + ************************************************************************** + * + * + ************************************************************************** + */ + +#include "at32a423.h" +#include "at32a423_clock.h" +#include "systick.h" +#include "sysconfig.h" +#include "string.h" +#include "stdio.h" +#include "at32a423_tmr.h" // ʱרͷļؼ +#include "at32a423_crm.h" // ʱӹͷļؼ + + +#include "app_get_json.h" +#include "app_scan.h" +#include "app_soft.h" + +#include "bsp_led.h" +#include "bsp_uart.h" +#include "bsp_adc.h" +#include "bsp_can.h" + +#include "bsp_spi.h" +#include "bsp_rs2251.h" +#include "bsp_74hc595.h" +#include "bsp_flash.h" + + +#include "mx_spi.h" + +#include "resi_math_lib.h" + +#include "bsp_rs2251.h" + +#include "cali_process.h" +#include "lib_cal_creep_resistance.h" + +#include "main.h" + +#define CAL_CREEP_ENABLE 0 +#define JSON_ENABLE 0 + + +uint8_t serial_tx_buffer2[AX_NUM][AY_NUM] = {0};//У׼ +uint8_t map_matrix[12*12*3]; + + + + + + + +crm_clocks_freq_type crm_clocks_freq_struct = {0}; + + + +void TMR1_init(void); + + +int line_flag=0; + +int main(void) +{ + + static uint64_t time_ms = 0; + + system_clock_config();//ʱ + nvic_priority_group_config(NVIC_PRIORITY_GROUP_4);//жȼ + systick_config();//ʱ + bsp_led_init(LED2); + + can1_init(); + adc_init(); + RS2251_Init(); + ref_gpio_init(); + ic_74hc595_init(); + mx_spi_init(); + line_flag = line_init(); + + app_user_map_init(); + +// uart3_init(921600); + uart3_init(2000000); + delay_ms(1000); + + TMR1_init(); +// Choose_AX_Channel(5); +// REF_OUT(0); +// ic_74hc595_io_write_1(7); + while(1) + { + delay_ms(1); + scan_deal();//ɨ账 + adc_deal(); //ݴ + + } +} + + + + + +void TMR1_init(void){ + crm_clocks_freq_get(&crm_clocks_freq_struct); + /* enable tmr1 clock */ + crm_periph_clock_enable(CRM_TMR1_PERIPH_CLOCK, TRUE); + + /* tmr1 configuration */ + /* time base configuration */ + tmr_base_init(TMR1, 6, 139);//˴119ǶӦϵͳƵ + tmr_cnt_dir_set(TMR1, TMR_COUNT_UP); + + /* overflow interrupt enable */ + tmr_interrupt_enable(TMR1, TMR_OVF_INT, TRUE); + + /* tmr1 hall interrupt nvic init */ + nvic_priority_group_config(NVIC_PRIORITY_GROUP_4); + nvic_irq_enable(TMR1_OVF_TMR10_IRQn, 1, 0); + + /* enable tmr1 */ + tmr_counter_enable(TMR1, TRUE); +} + + + + + + + + diff --git a/App/main.h b/App/main.h new file mode 100644 index 0000000..6e8c9ec --- /dev/null +++ b/App/main.h @@ -0,0 +1,9 @@ +#ifndef __MAIN_H +#define __MAIN_H + +#define AX_NUM 12 +#define AY_NUM 12 + + +#endif + diff --git a/App/sys.c b/App/sys.c new file mode 100644 index 0000000..dc00566 --- /dev/null +++ b/App/sys.c @@ -0,0 +1,248 @@ +/** + * @auther whlphlg + * @brief sys.cйؿϵͳĺ + * uwTick ͨ HAL_GetTick() ȡΪŻֱuwTick(ֻ)ҪıuwTickֵ + * uwTick ÿ1msһΣֻҪ#include "main.h"ֱuwTickhalԴģͶģ + * @changedate 2020.09.13 + */ + +//ûinclude +#include "at32a423.h" +#include "systick.h" + +//дģinclude +#include "sys.h" +#include "task.h" + +typedef struct +{ + uint8_t enable_flag; // Ƿ񱻿񲻱޷ (0ΪѾ) + uint16_t interval_time; // мʱ (λms) + uint32_t last_time; // һʱ (λms) + uint8_t ready_flag; // Ƿ׼ (0ΪѾ) + uint32_t out_time; // ʱֹͣжʱ (λms) + int32_t usage_tick; // ӿʼʱδʱVAL(CNT)Լ (sys.c System_RunTask()) + float usage_time; // һʱʱ䣬λΪusλΪusλΪus (㷽sys.c System_RunTask()) + float usage_percent; // 1ռcpuİٷֱ (㷽sys.c System_RunTask()) + void (*f)(void); // ָҪеĺ (֪ôָsys.c System_Init()) +}TaskStruct; + +TaskStruct task_structs[TASK_NUMBER]; //Ľṹ + +/** + * @auther whlphlg + * @brief ϵͳʼÿһṹenable_flag,interval_time,task_priority,fֵԪصƬĬ0 + * @changedate 2020.09.13 + */ +void System_TaskInit() +{ + task_structs[TASK1].enable_flag=1; + task_structs[TASK1].interval_time=500; + task_structs[TASK1].f=task1; + + task_structs[TASK2].enable_flag=1; + task_structs[TASK2].interval_time=10000; + task_structs[TASK2].f=task2; + + task_structs[TASK3].enable_flag=1; + task_structs[TASK3].interval_time=500; + task_structs[TASK3].f=task3; + + task_structs[TASK4].enable_flag=1; + task_structs[TASK4].interval_time=5; + task_structs[TASK4].f=task4; + + task_structs[TASK5].enable_flag=1; + task_structs[TASK5].interval_time=5; + task_structs[TASK5].f=task5; + + + +} + +/** + * @auther whlphlg + * @brief ͳƵе usage_time,usage_percent,ʹ˺һεtotal_usage_time + * @changedate 2020.09.13 + */ +int32_t total_usage_tick; // Ǵ˺һεtickȫֱdebug +float total_usage_time; // Ǵ˺һεʱ(λus)ȫֱdebug +int32_t total_usage_tick_max_in1s; // total_usage_tick ij1ڵֵ +float total_usage_time_max_in1s; // total_usage_time ij1ڵֵ + +void System_TaskRun() +{ + int64_t total_begin_tick = SysTick->VAL - get_system_tick()*(SysTick->LOAD+1); // ˼·ͬ begin_tick + + for(uint8_t i=0;i0 - ------ <0------- (begin_tick < 0) + int64_t begin_tick = SysTick->VAL - get_system_tick()*(SysTick->LOAD+1); + + task_structs[i].f(); // ṹӦ + + // usage_tick Ĺʽ = ʼtick - ---------------ڵtick--------------(tickǸ ʼtick > ڵtick) + task_structs[i].usage_tick = begin_tick - (SysTick->VAL - get_system_tick()*(SysTick->LOAD+1)); + // usage_time Ĺʽ = -----------usage_tick---------- / 1mstick-- * 1000(λ㣬1ms1000us) + task_structs[i].usage_time = (float)task_structs[i].usage_tick / (SysTick->LOAD+1) * 1000.f; + // usage_percent Ĺʽ = -----ÿд(λHz)----- * ---񵥴ʱ(λs)---- * 100(Ҫ%,*100) + task_structs[i].usage_percent = 1000.f/task_structs[i].interval_time * task_structs[i].usage_time/1000000.f * 100; + } + } + + total_usage_tick = total_begin_tick - (SysTick->VAL - get_system_tick()*(SysTick->LOAD+1)); // ˼·ͬ usage_tick + total_usage_time = (float)total_usage_tick / (SysTick->LOAD+1) * 1000.f; // ˼·ͬ usage_time + + if(total_usage_tick_max_in1s < total_usage_tick) + { + total_usage_tick_max_in1s = total_usage_tick; + } + if(total_usage_time_max_in1s < total_usage_time) + { + total_usage_time_max_in1s = total_usage_time; + } +} + +/** + * @auther whlphlg + * @brief ϵͳ£ÿ1msӵδʱжϽһ (stm32f4xx_it.c System_Update()ﱻ) + * ͨuwTick,enable_flag,stop_timeֵȷready_flaglast_time,stop_time + * ÿ1000msһ total_usage_tick_max_in1s total_usage_time_max_in1s + * @changedate 2020.09.15 + */ +void System_TaskUpdate() +{ + for(uint8_t i=0;istate = default_state; + dog->time_load = time_load; + dog->time_cnt = dog->time_load; +} + +/** + * @auther whlphlg + * @brief Źι + * @changedate 2021.04.15 + */ +void System_SoftWatchDogFeed(SoftWatchDogStruct *dog) +{ + dog->state = 1; + dog->time_cnt = dog->time_load; +} + +/** + * @auther whlphlg + * @brief Ź״̬ + * @changedate 2021.04.15 + */ +void System_SoftWatchDogUpdate(SoftWatchDogStruct *dog) +{ + if(dog->time_cnt > 0) + { + dog->time_cnt--; + dog->state = 1; + } + else + { + dog->time_cnt = 0; + dog->state = 0; + } +} + +/** + * @auther whlphlg + * @brief ȡŹ״̬ + * @changedate 2021.04.15 + */ +uint8_t System_GetSoftWatchDogState(SoftWatchDogStruct *dog) +{ + return dog->state; +} + + + + diff --git a/App/sys.h b/App/sys.h new file mode 100644 index 0000000..4509241 --- /dev/null +++ b/App/sys.h @@ -0,0 +1,34 @@ +#ifndef __SYS_H +#define __SYS_H + +#include "at32a423.h" + +#define TASK_NUMBER 6 // +#define TASK1 0 //ӿɶ +#define TASK2 1 //ӿɶ +#define TASK3 2 //ӿɶ +#define TASK4 3 //ӿɶ +#define TASK5 4 //ӿɶ +#define TASK6 5 //ӿɶ + +typedef struct +{ + uint8_t state; //ǰ״̬1ʾ0ʾ + uint32_t time_load; //װֵ + uint32_t time_cnt; //¼ +}SoftWatchDogStruct; + +void System_TaskInit(void); +void System_TaskUpdate(void); +void System_TaskRun(void); +void System_TaskOut(uint8_t task_number,uint32_t stop_time); +void System_TaskDisable(uint8_t task_number); +void System_TaskEnable(uint8_t task_number); + +void System_SoftWatchDogInit(SoftWatchDogStruct *dog,uint32_t time_load,uint8_t default_state); +void System_SoftWatchDogFeed(SoftWatchDogStruct *dog); +void System_SoftWatchDogUpdate(SoftWatchDogStruct *dog); +uint8_t System_GetSoftWatchDogState(SoftWatchDogStruct *dog); + +#endif /* __SYS_H */ + diff --git a/App/task.c b/App/task.c new file mode 100644 index 0000000..e4f3276 --- /dev/null +++ b/App/task.c @@ -0,0 +1,37 @@ +/** + * @auther whlphlg + * @brief task.cҪеļģɶȽϴ + * @changedate 2020.09.13 + */ + +//ûinclude +#include "at32a423.h" +#include "bsp_led.h" +#include "scan.h" +//дģinclude +#include "task.h" +#include "sys.h" + + +void task1() +{ + +} +void task2() +{ + System_TaskOut(TASK1,4000); +} +void task3() +{ + bsp_led_toggle(LED2); +} +void task4() +{ + +} + +void task5() +{ + +} + diff --git a/App/task.h b/App/task.h new file mode 100644 index 0000000..59243ff --- /dev/null +++ b/App/task.h @@ -0,0 +1,17 @@ +#ifndef __TASK_H +#define __TASK_H + +#include "main.h" + +void task1(void); +void task2(void); +void task3(void); +void task4(void); +void task5(void); + +__weak void Task_DisableCallback(uint8_t task_number); +__weak void Task_EnableCallback(uint8_t task_number); +__weak void Task_OutCallback(uint8_t task_number); +__weak void Task_InCallback(uint8_t task_number); + +#endif /* __TASK_H */ diff --git a/Bsp/bsp_74hc595.c b/Bsp/bsp_74hc595.c new file mode 100644 index 0000000..c844fd2 --- /dev/null +++ b/Bsp/bsp_74hc595.c @@ -0,0 +1,177 @@ +/************************************************************************* + > File Name: 74hc595.c + > Author: ma6174 + > Mail: ma6174@163.com + > Created Time: 2023/9/20 17:48:24 + ************************************************************************/ + +#include "bsp_74hc595.h" +#include +#include +#include + + +#define DS_MOS(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_14);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_14) + +#define SHCP_MOS(a) if (a) \ + gpio_bits_set(GPIOA, GPIO_PINS_8);\ + else \ + gpio_bits_reset(GPIOA, GPIO_PINS_8) + +#define STCP_MOS(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_15);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_15) + +#define OE_MOS(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_13);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_13) + +#define MR_MOS(a) if (a) \ + gpio_bits_set(GPIOA, GPIO_PINS_7);\ + else \ + gpio_bits_reset(GPIOA, GPIO_PINS_7) + +inline void ic_74hc595_delay(uint32_t num) +{ + while(num --); +} + +void ic_74hc595_init(void) +{ + gpio_init_type gpio_init_struct; + + /* enable the led clock */ + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK,TRUE); + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK,TRUE); + + /* set default parameter */ + gpio_default_para_init(&gpio_init_struct); + + /* configure the led gpio */ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_OUTPUT; + gpio_init_struct.gpio_pins = GPIO_PINS_8; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOA, &gpio_init_struct); + + gpio_init_struct.gpio_pins = GPIO_PINS_13 | GPIO_PINS_14 | GPIO_PINS_15; + gpio_init(GPIOB, &gpio_init_struct); + ic_74hc595_clean_0(32); +} + +//λĴij10; +//ΪӲǷӦɨ +void ic_74hc595_io_write_1(uint8_t io_num) +{ + + DS_MOS(1); + SHCP_MOS(1); + ic_74hc595_delay(1); + SHCP_MOS(0); + + for(uint8_t i = 0; i < io_num; i++) + { + DS_MOS(0); + SHCP_MOS(1); + ic_74hc595_delay(1); + SHCP_MOS(0); + ic_74hc595_delay(1); + } + STCP_MOS(1); + ic_74hc595_delay(1); + STCP_MOS(0); +} + +//λĴij0,1 +//ΪӲǷӦɨ +void ic_74hc595_io_write_0(uint8_t io_num) +{ + DS_MOS(0); + SHCP_MOS(1); + ic_74hc595_delay(1); + SHCP_MOS(0); + + for(uint8_t i = 0; i < io_num; i++) + { + DS_MOS(1); + SHCP_MOS(1); + ic_74hc595_delay(1); + SHCP_MOS(0); + ic_74hc595_delay(1); + } + STCP_MOS(1); + ic_74hc595_delay(1); + STCP_MOS(0); +} +//λĴȫ0 +//ΪӲǷӦɨ +void ic_74hc595_clean_0(uint8_t io_num) +{ + DS_MOS(0); + SHCP_MOS(0); + STCP_MOS(0); + + for(uint8_t i = 0; i < io_num; i++) + { + SHCP_MOS(1); + ic_74hc595_delay(1); + + //Ϊ͵ƽΪ´׼ + SHCP_MOS(0); + ic_74hc595_delay(1); + } + + STCP_MOS(1); + ic_74hc595_delay(1); + STCP_MOS(0); +} + +//λĴȫ1; +//ΪӲǷӦɨ +void ic_74hc595_clean_1(uint8_t io_num) +{ + DS_MOS(1); + SHCP_MOS(0); + STCP_MOS(0); + + for(uint8_t i = 0; i < io_num; i++) + { + SHCP_MOS(1); + ic_74hc595_delay(1); + + //Ϊ͵ƽΪ´׼ + SHCP_MOS(0); + ic_74hc595_delay(1); + } + + STCP_MOS(1); + ic_74hc595_delay(1); + STCP_MOS(0); +} + +void ic_74hc595_wirte_32bit(uint32_t data) +{ + DS_MOS(0); + SHCP_MOS(0); + STCP_MOS(0); + uint32_t temp = 0; + for(uint8_t i = 0; i < 32; i++) + { + temp = data & (0x80000000>>i); + DS_MOS(temp); + SHCP_MOS(1); + ic_74hc595_delay(1); + SHCP_MOS(0); + ic_74hc595_delay(1); + } + STCP_MOS(1); + ic_74hc595_delay(1); + STCP_MOS(0); +} + diff --git a/Bsp/bsp_74hc595.h b/Bsp/bsp_74hc595.h new file mode 100644 index 0000000..1b433e3 --- /dev/null +++ b/Bsp/bsp_74hc595.h @@ -0,0 +1,23 @@ +/************************************************************************* + > File Name: 74hc595.h + > Author: ma6174 + > Mail: ma6174@163.com + > Created Time: 2023/9/20 17:48:31 + ************************************************************************/ +#ifndef _BSP_74HC595_H +#define _BSP_74HC595_H +#include "stdint.h" +#include "at32a423.h" + +void ic_74hc595_delay(uint32_t num); +void ic_74hc595_init(void); +void ic_74hc595_thread(void); +void ic_74hc595_clean(void); +void ic_74hc595_clean_0(uint8_t io_num); +void ic_74hc595_clean_1(uint8_t io_num); +void ic_74hc595_io_write_0(uint8_t io_num); +void ic_74hc595_io_write_1(uint8_t io_num); +void ic_74hc595_wirte_32bit(uint32_t data); + + +#endif diff --git a/Bsp/bsp_adc.c b/Bsp/bsp_adc.c new file mode 100644 index 0000000..5dc764f --- /dev/null +++ b/Bsp/bsp_adc.c @@ -0,0 +1,174 @@ +#include "bsp_adc.h" +#include "string.h" +#include "stdbool.h" + +#define CUMULATIVE_NUM 1 +#define ADC_CHANNEL_NUM 2 + +volatile uint16_t adc_value[CUMULATIVE_NUM][ADC_CHANNEL_NUM]; +uint16_t adc_v[ADC_CHANNEL_NUM] = { 0 }; + +void read_adc_value(void) +{ + uint16_t sum = 0; + + for(uint8_t adc_channel_index = 0; adc_channel_index < ADC_CHANNEL_NUM; ++adc_channel_index) + { + sum = 0; + for(uint8_t cumulative_index = 0; cumulative_index < CUMULATIVE_NUM; ++cumulative_index) + { + sum += adc_value[cumulative_index][adc_channel_index]; + } + adc_v[adc_channel_index] = sum / CUMULATIVE_NUM; + } +} + +uint16_t GetAdcValue(uint8_t index) +{ + if(index < ADC_CHANNEL_NUM) + { + return adc_v[index]; + } + else + { + return 0; + } +} + +void adc_init(void) +{ + /* system clocks configuration */ + rcu_config(); + /* GPIO configuration */ + gpio_config(); + /* DMA configuration */ + dma_config(); + /* ADC configuration */ + adc_config(); + adc_ordinary_software_trigger_enable(ADC1, TRUE); +} + +/*! + \brief configure the different system clocks + \param[in] none + \param[out] none + \retval none + */ +void rcu_config(void) +{ + /* enable GPIO clock */ + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + /* enable ADC clock */ + crm_periph_clock_enable(CRM_ADC1_PERIPH_CLOCK, TRUE); + /* enable DMA0 clock */ + crm_periph_clock_enable(CRM_DMA1_PERIPH_CLOCK, TRUE); + +} + +/*! + \brief configure the GPIO peripheral + \param[in] none + \param[out] none + \retval none + */ +void gpio_config(void) +{ + gpio_init_type gpio_init_struct; + + gpio_default_para_init(&gpio_init_struct); + + /* configure the IN8 pin */ + gpio_init_struct.gpio_mode = GPIO_MODE_ANALOG; + gpio_init_struct.gpio_pins = GPIO_PINS_0; + gpio_init(GPIOB, &gpio_init_struct); + + /* configure the IN9 pin */ + gpio_init_struct.gpio_mode = GPIO_MODE_ANALOG; + gpio_init_struct.gpio_pins = GPIO_PINS_1; + gpio_init(GPIOB, &gpio_init_struct); +} + + +/*! + \brief configure the DMA peripheral + \param[in] none + \param[out] none + \retval none + */ +void dma_config(void) +{ + dma_init_type dma_init_struct; + nvic_irq_enable(DMA1_Channel1_IRQn, 0, 0); + + dma_reset(DMA1_CHANNEL3); + dma_default_para_init(&dma_init_struct); + dma_init_struct.direction = DMA_DIR_PERIPHERAL_TO_MEMORY; + dma_init_struct.memory_base_addr = (uint32_t)(&adc_v); + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_HALFWORD; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&ADC1->odt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_HALFWORD; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.buffer_size = CUMULATIVE_NUM * ADC_CHANNEL_NUM; + dma_init_struct.priority = DMA_PRIORITY_HIGH; + dma_init_struct.loop_mode_enable = TRUE; + dma_init(DMA1_CHANNEL3, &dma_init_struct); + + /* dmamux function enable */ + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL3, DMAMUX_DMAREQ_ID_ADC1); + dma_channel_enable(DMA1_CHANNEL3, TRUE); +} + + + +/*! + \brief configure the ADC peripheral + \param[in] none + \param[out] none + \retval none + */ +void adc_config(void) +{ + adc_base_config_type adc_base_struct; + adc_common_config_type adc_common_struct; + + //common_settings + crm_adc_clock_select(CRM_ADC_CLOCK_SOURCE_HCLK); + + adc_common_default_para_init(&adc_common_struct); + /* config adc clock division */ + adc_common_struct.div = ADC_HCLK_DIV_2; + /* config inner temperature sensor and vintrv */ + adc_common_struct.tempervintrv_state = FALSE; + adc_common_config(&adc_common_struct); + + /* adc_settings------------------------------------------------------------------- */ + adc_base_default_para_init(&adc_base_struct); + adc_base_struct.sequence_mode = TRUE;//ģʽ + adc_base_struct.repeat_mode = TRUE;//ģʽ + adc_base_struct.data_align = ADC_RIGHT_ALIGNMENT;//Ҷ + adc_base_struct.ordinary_channel_length = ADC_CHANNEL_NUM; + adc_base_config(ADC1, &adc_base_struct); + adc_resolution_set(ADC1, ADC_RESOLUTION_12B); + + /* adc_ordinary_conversionmode---------------------------------------------------- */ + adc_ordinary_channel_set(ADC1, ADC_CHANNEL_8, 1, ADC_SAMPLETIME_12_5); + adc_ordinary_channel_set(ADC1, ADC_CHANNEL_9, 2, ADC_SAMPLETIME_12_5); + + adc_ordinary_conversion_trigger_set(ADC1, ADC_ORDINARY_TRIG_SOFTWARE, ADC_ORDINARY_TRIG_EDGE_NONE);// + + adc_dma_mode_enable(ADC1, TRUE); + adc_dma_request_repeat_enable(ADC1, TRUE); + + + adc_enable(ADC1, TRUE); + while(adc_flag_get(ADC1, ADC_RDY_FLAG) == RESET); + + /* adc calibration---------------------------------------------------------------- */ + adc_calibration_init(ADC1); + while(adc_calibration_init_status_get(ADC1)); + adc_calibration_start(ADC1); + while(adc_calibration_status_get(ADC1)); +} diff --git a/Bsp/bsp_adc.h b/Bsp/bsp_adc.h new file mode 100644 index 0000000..59880be --- /dev/null +++ b/Bsp/bsp_adc.h @@ -0,0 +1,14 @@ +#ifndef __BSP_ADC_h +#define __BSP_ADC_h + +#include "at32a423.h" + +void rcu_config(void); +void gpio_config(void); +void dma_config(void); +void adc_config(void); +void adc_init(void); +void read_adc_value(void); +uint16_t GetAdcValue(uint8_t index); +#endif + diff --git a/Bsp/bsp_air.c b/Bsp/bsp_air.c new file mode 100644 index 0000000..5547ff3 --- /dev/null +++ b/Bsp/bsp_air.c @@ -0,0 +1,157 @@ +#include "bsp_air.h" +#include "bsp_spi.h" +#include "stdio.h" + +static air_staus_struct air_staus; + +void set_single_air_staus(air_num_enum air_num,air_run_action_enum air_run_action) +{ + switch((uint8_t)air_num) + { + case AIR_1: + air_staus.value1 = air_run_action; + break; + case AIR_2: + air_staus.value2 = air_run_action; + break; + case AIR_3: + air_staus.value3 = air_run_action; + break; + case AIR_4: + air_staus.value4 = air_run_action; + break; + case AIR_5: + air_staus.value5 = air_run_action; + break; + case AIR_6: + air_staus.value6 = air_run_action; + break; + case AIR_7: + air_staus.value7 = air_run_action; + break; + case AIR_8: + air_staus.value8 = air_run_action; + break; + case AIR_9: + air_staus.value9 = air_run_action; + break; + case AIR_10: + air_staus.value10 = air_run_action; + break; + } +} + +void set_all_air_staus(air_run_action_enum air_run_action) +{ + for(air_num_enum air_num = AIR_1; air_num < AIR_MAX_NUM; air_num++) + { + set_single_air_staus(air_num,air_run_action); + } +} + + + +static uint16_t CalChecksum(uint8_t * data, uint16_t len) +{ + uint16_t sum = 0; + for(int i = 0; i < len; ++i) + { + sum += data[i]; + } + return sum; +} + + +/*һ֡*/ +static uint8_t creat_air_frame(uint8_t device_id, uint8_t message_type, uint8_t error_flag, air_staus_struct air_staus, air_spi_frame_struct *tx_frame) +{ + tx_frame->device_id = device_id; + tx_frame->message_type = message_type; + tx_frame->error_flag = error_flag; + tx_frame->value_1 = air_staus.value1; + tx_frame->value_2 = air_staus.value2; + tx_frame->value_3 = air_staus.value3; + tx_frame->value_4 = air_staus.value4; + tx_frame->value_5 = air_staus.value5; + tx_frame->value_6 = air_staus.value6; + tx_frame->value_7 = air_staus.value7; + tx_frame->value_8 = air_staus.value8; + tx_frame->value_9 = air_staus.value9; + tx_frame->value_10 = air_staus.value10; + + tx_frame->check_sum = CalChecksum((uint8_t *)tx_frame,sizeof(air_spi_frame_struct) - 1); + return 1; +} + +/*Ͳ*/ +static uint8_t air_frame_rev(air_spi_frame_struct *tx_frame, air_spi_frame_struct *rx_frame) +{ + if(spi_tx_rx_buffer((uint8_t*)tx_frame,(uint8_t *)rx_frame,sizeof(air_spi_frame_struct))) + { + if(rx_frame->device_id != 0x01) + { + return 0; + } + if(rx_frame->message_type != 0x01) + { + return 0; + } + if(rx_frame->check_sum != CalChecksum((uint8_t *)rx_frame, sizeof(air_spi_frame_struct) - 1)) + { + return 0; + } + } + return 1; +} + +/*봦*/ +static void air_frame_error_handle(uint8_t error_flag) +{ + if(error_flag & AIR_PUMP_ERROR) + { + printf("..."); + } + if(error_flag & VALUE_JAM) + { + printf("..."); + } + if(error_flag & OVER_VOLTAGE_ALARM) + { + printf("..."); + } +} + +//100msһ +void air_handle(void) +{ + static air_spi_frame_struct tx_frame; + static air_spi_frame_struct rx_frame; + static uint8_t out_time_cnt; + creat_air_frame(0x01,0x00,0x00, air_staus, &tx_frame); + if(air_frame_rev(&tx_frame, &rx_frame)) + { + if(rx_frame.error_flag == 0) + { + out_time_cnt = 0; + } + else + { + air_frame_error_handle(rx_frame.error_flag); + out_time_cnt++; + } + + } + else + { + out_time_cnt++; + } + + if(out_time_cnt >= 30) + { + printf("ͨųʱ"); + spi1_init(); + out_time_cnt = 0; + } + +} + diff --git a/Bsp/bsp_air.h b/Bsp/bsp_air.h new file mode 100644 index 0000000..85c5707 --- /dev/null +++ b/Bsp/bsp_air.h @@ -0,0 +1,80 @@ +#ifndef _BSP_AIR_H +#define _BSP_AIR_H +#include "at32a423.h" +typedef enum +{ + AIR_1, + AIR_2, + AIR_3, + AIR_4, + AIR_5, + AIR_6, + AIR_7, + AIR_8, + AIR_9, + AIR_10, + AIR_MAX_NUM, +}air_num_enum;//Һ + +typedef enum +{ + CHARGE_AIR = 0x01, + STOP_AIR = 0x02, + DISCHARGE_AIR = 0x03, +}air_run_action_enum; + +typedef struct +{ + uint8_t value1 : 2; + uint8_t value2 : 2; + uint8_t value3 : 2; + uint8_t value4 : 2; + uint8_t value5 : 2; + uint8_t value6 : 2; + uint8_t value7 : 2; + uint8_t value8 : 2; + uint8_t value9 : 2; + uint8_t value10 : 2; + uint8_t : 4; +}air_staus_struct;//״̬ + +typedef struct +{ + uint8_t : 2; //λ + uint8_t message_type : 2;//Ϣ + uint8_t device_id : 4;//豸id + //һֽ + uint8_t value_4 : 2;//4 + uint8_t value_3 : 2;//3 + uint8_t value_2 : 2;//2 + uint8_t value_1 : 2;//1 + //ڶֽ + uint8_t value_8 : 2;//8 + uint8_t value_7 : 2;//7 + uint8_t value_6 : 2;//6 + uint8_t value_5 : 2;//5 + //ֽ + uint8_t : 4;//λ + uint8_t value_10 : 2;//10 + uint8_t value_9 : 2;//9 + //ĸֽ + uint8_t error_flag : 8;//־ + //ֽ + uint8_t check_sum : 8;//У +}air_spi_frame_struct;//Э֡ + +typedef enum +{ + AIR_PUMP_ERROR = 0X01, + VALUE_JAM = 0X02, + OVER_VOLTAGE_ALARM = 0X04, + OVER_TEMPERATURE = 0X08, + CHECK_COURSE = 0X10, + LOW_VOLTAGE_ERROR = 0X20, + COMMUNICATION_OVER_TIME = 0X40, +}error_flag_enum;// + +void air_handle(void); + +#endif + diff --git a/Bsp/bsp_airsac.c b/Bsp/bsp_airsac.c new file mode 100644 index 0000000..726cc16 --- /dev/null +++ b/Bsp/bsp_airsac.c @@ -0,0 +1,50 @@ +#include "bsp_airsac.h" +#include "bsp_mos.h" +#include "bsp_moto.h" +void airsac_charge(airsac_num airsac) +{ + mos_union mos_data = {0}; + + set_moto_out(1, 1001); + mos_data.mos = MOS(airsac + 10); + mos_set(mos_data); +} + +void airsac_discharge(airsac_num airsac) +{ + mos_union mos_data = {0}; + set_moto_out(1, 0); + mos_data.mos = MOS(airsac); + mos_set(mos_data); +} + + + + +void all_airsac_discharge(void) +{ + mos_union mos_data = {0}; + + set_moto_out(1,0); + mos_data.mos = ALL_PRESSURIZE_MOS; + mos_set(mos_data); + +} + +void all_airsac_charge(void) +{ + mos_union mos_data = {0}; + + set_moto_out(1, 1001); + mos_data.mos = ALL_INLET_MOS; + mos_set(mos_data); +} + + +void airsac_stop(void) +{ + mos_union mos_data = {0}; + mos_data.mos = ~ALL_MOS; + set_moto_out(1, 0); +} + diff --git a/Bsp/bsp_airsac.h b/Bsp/bsp_airsac.h new file mode 100644 index 0000000..485e071 --- /dev/null +++ b/Bsp/bsp_airsac.h @@ -0,0 +1,27 @@ +#ifndef __BSP_AIRSAC_H +#define __BSP_AIRSAC_H +#include "at32a423.h" + +typedef enum +{ + AIRSAC0, + AIRSAC1, + AIRSAC2, + AIRSAC3, + AIRSAC4, + AIRSAC5, + AIRSAC6, + AIRSAC7, + AIRSAC8, + AIRSAC9, + AIRSAC_MAX_NUM +}airsac_num; + +void airsac_charge(airsac_num airsac); +void airsac_discharge(airsac_num airsac); +void all_airsac_discharge(void); +void all_airsac_charge(void); +void airsac_stop(void); + +#endif + diff --git a/Bsp/bsp_can.c b/Bsp/bsp_can.c new file mode 100644 index 0000000..bc9f8ef --- /dev/null +++ b/Bsp/bsp_can.c @@ -0,0 +1,315 @@ +#include "bsp_can.h" +#include +#include "systick.h" + +can_rx_message_type can1_receive_message_fifo0; +can_tx_message_type can1_transmit_message; +volatile Enum_can_mode can1_receive_fifo0_flag; + +uint8_t bit12[8]; +uint8_t bit13[8]; +uint8_t bit14[8]; +uint8_t bit15[8]; +uint8_t bit16[8]; +uint8_t bit17[8]; +uint8_t bit18[8]; +uint8_t bit19[8]; +uint8_t bit20[8]; + +void TJA1042_STB_Config(void) { + gpio_init_type gpio_init_struct; + + /* GPIOA ʱ */ + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + + + gpio_default_para_init(&gpio_init_struct); + gpio_init_struct.gpio_pins = GPIO_PINS_12; // ѡ PA0 + gpio_init_struct.gpio_mode = GPIO_MODE_OUTPUT; // ģʽ + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; // + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; // + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_MODERATE; // + gpio_init(GPIOB, &gpio_init_struct); + gpio_bits_reset(GPIOB, GPIO_PINS_12); +} + +static void can1_gpio_config(void) +{ + gpio_init_type gpio_init_struct; + /* enable the gpio clock */ + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK, TRUE); + + gpio_default_para_init(&gpio_init_struct); + + /* configure the can tx, rx pin */ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = GPIO_PINS_11 | GPIO_PINS_12; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOA, &gpio_init_struct); + + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE12, GPIO_MUX_9); + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE11, GPIO_MUX_9); + TJA1042_STB_Config(); + delay_ms(100); +} + +/** + * @brief can configiguration. + * @param none + * @retval none + */ +static void can1_configuration(void) +{ + can_base_type can_base_struct; + can_baudrate_type can_baudrate_struct; + can_filter_init_type can_filter_init_struct; + /* enable the can clock */ + crm_periph_clock_enable(CRM_CAN1_PERIPH_CLOCK, TRUE); + + /* can base init */ + can_default_para_init(&can_base_struct); + can_base_struct.mode_selection = CAN_MODE_COMMUNICATE; + can_base_struct.ttc_enable = FALSE; + can_base_struct.aebo_enable = FALSE; + can_base_struct.aed_enable = FALSE; + can_base_struct.prsf_enable = FALSE; + can_base_struct.mdrsel_selection = CAN_DISCARDING_FIRST_RECEIVED; + can_base_struct.mmssr_selection = CAN_SENDING_BY_REQUEST; + + can_base_init(CAN1, &can_base_struct); + + /* can baudrate, set boudrate = pclk/(baudrate_div *(1 + bts1_size + bts2_size)) */ + can_baudrate_struct.baudrate_div = 30; + can_baudrate_struct.rsaw_size = CAN_RSAW_1TQ; + can_baudrate_struct.bts1_size = CAN_BTS1_6TQ; + can_baudrate_struct.bts2_size = CAN_BTS2_1TQ; + can_baudrate_set(CAN1, &can_baudrate_struct); + + + /*can_filter_0_config--------------------------------------------------------------*/ + can_filter_init_struct.filter_activate_enable = TRUE; + can_filter_init_struct.filter_number = 0; + can_filter_init_struct.filter_fifo = CAN_FILTER_FIFO0; + can_filter_init_struct.filter_bit = CAN_FILTER_16BIT; + can_filter_init_struct.filter_mode = CAN_FILTER_MODE_ID_MASK; + /*Standard identifier + Mask Mode + Data/Remote frame: id/mask 11bit --------------*/ + can_filter_init_struct.filter_id_high = 0x0000; + can_filter_init_struct.filter_id_low = 0x0000; + can_filter_init_struct.filter_mask_high = 0x0000; + can_filter_init_struct.filter_mask_low = 0x0000; + + can_filter_init(CAN1, &can_filter_init_struct); + + /* can interrupt config */ + //nvic_irq_enable(CAN1_SE_IRQn, 0x00, 0x00); + nvic_irq_enable(CAN1_RX0_IRQn, 2, 0); + can_interrupt_enable(CAN1, CAN_RF0MIEN_INT, TRUE); + +// /* error interrupt enable */ +// can_interrupt_enable(CAN1, CAN_ETRIEN_INT, TRUE); +// can_interrupt_enable(CAN1, CAN_EOIEN_INT, TRUE); +} + +void can1_init(void) +{ + can1_gpio_config(); + can1_configuration(); + delay_ms(200); +} + + + +void send_can1_data(uint32_t id, uint8_t *msg, uint8_t msg_len) +{ +// over_time = 600; + uint16_t over_time = 600; + if(msg_len > 8) + { + msg_len = 8; + } + + can1_transmit_message.standard_id = id; + can1_transmit_message.extended_id = 0; + can1_transmit_message.id_type = CAN_ID_STANDARD; + can1_transmit_message.frame_type = CAN_TFT_DATA; + can1_transmit_message.dlc = msg_len; + + for(uint8_t i = 0; i < msg_len; i++) + can1_transmit_message.data[i] = msg[i]; + + + /* transmit message */ + while((can_message_transmit(CAN1, &can1_transmit_message) == CAN_TX_STATUS_NO_EMPTY) && (over_time)) + { + over_time--; + } +} + + +void send_can1_buffer(uint32_t id, uint8_t *buffer, uint16_t buffer_len) +{ + uint8_t temp1 = buffer_len/8; + uint8_t temp2 = buffer_len%8; + + + if(temp1 == 0) + { + send_can1_data(id, buffer, buffer_len); + } + else + { + for(uint8_t i = 0; i < temp1; i++) + { + send_can1_data(id, buffer + 8*i, 8); + } + if(temp2 != 0) + { + send_can1_data(id, buffer+(buffer_len - temp2), temp2); + } + } +} + +void CAN1_RX0_IRQHandler(void) +{ + if (can_flag_get(CAN1, CAN_RF0MN_FLAG) == SET) + { + can_flag_clear(CAN1, CAN_RF0MN_FLAG); + can_message_receive(CAN1, CAN_RX_FIFO0, &can1_receive_message_fifo0); + + // ֱʹ can1_receive_message_fifo0 +// switch(can1_receive_message_fifo0.standard_id) +// { +// case 0x014: +// // ID 0x020 +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit20); +// break; +// case 0x013: +// // ID 0x002 +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit19); +// break; +// case 0x012: +// // ID 0x003 +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit18); +// break; +// case 0x11: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit17); +// break; +// case 0x10: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit16); +// break; +// case 0x00F: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit15); +// break; +// case 0x00E: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit14); +// break; +// case 0x00D: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit13); +// break; +// case 0x00C: +// can1_transmit_data_pressure(can1_receive_message_fifo0.standard_id,bit12); +// break; +// } + } +} +void can_transmit_all_id(){ + + + can1_transmit_data_pressure(0x014,bit20); + + + can1_transmit_data_pressure(0x013,bit19); + + + can1_transmit_data_pressure(0x012,bit18); + + + can1_transmit_data_pressure(0x011,bit17); + + + can1_transmit_data_pressure(0x010,bit16); + + + can1_transmit_data_pressure(0x00F,bit15); + + + can1_transmit_data_pressure(0x00E,bit14); + + + can1_transmit_data_pressure(0x00D,bit13); + + + can1_transmit_data_pressure(0x00C,bit12); + + + + + +} +/* can transmit data */ + +void can1_transmit_data_pressure(uint32_t id,uint8_t pressure[8]) +{ + uint16_t over_time = 600; + uint8_t transmit_status; + can_tx_message_type tx_message_struct; + tx_message_struct.standard_id = id; + tx_message_struct.extended_id = 0; + tx_message_struct.id_type = CAN_ID_STANDARD; + tx_message_struct.frame_type = CAN_TFT_DATA; + tx_message_struct.dlc = 8; + // + for(int i = 0; i < 8; i++) { + tx_message_struct.data[i] = pressure[i]; + } + + // ԷϢ + transmit_status = can_message_transmit(CAN1, &tx_message_struct); + + // ȴɻʱ + while((transmit_status == CAN_TX_STATUS_NO_EMPTY) && (over_time > 0)) + { + // ҪСӳ٣Ƶļ + delay_us(10); // ϵͳ + + // ¼鷢״̬ + transmit_status = can_message_transmit(CAN1, &tx_message_struct); + over_time--; + } + +} +void copyToBytes(uint8_t externalArray[12][12]) { + for(int i=0;i<8;i++){ + bit20[i]=externalArray[7][i]; + } + for(int i=0;i<7;i++){ + bit12[i]=externalArray[6-i][0]; + } + for(int i=0;i<7;i++){ + bit13[i]=externalArray[6-i][7]; + } + for(int i=0;i<4;i++){ + bit14[i]=externalArray[6][2+i]; + bit14[4 + i]=externalArray[5][2+i]; + } + for(int i=0;i<2;i++){ + bit15[i] = externalArray[6-i][1]; + bit15[2+i] = externalArray[6-i][6]; + } + for(int i=0;i<4;i++){ + bit15[4+i] = externalArray[4][2+i]; + } + bit16[0] = externalArray[4][1]; + bit16[1] = externalArray[4][6]; + for(int i=0;i<6;i++){ + bit16[2+i] = externalArray[3][i+1]; + } + for(int i =0;i<6;i++){ + bit17[i] = externalArray[2][i+1]; + bit18[i] = externalArray[1][i+1]; + bit19[i] = externalArray[0][i+1]; + } +} + diff --git a/Bsp/bsp_can.h b/Bsp/bsp_can.h new file mode 100644 index 0000000..ee4e75b --- /dev/null +++ b/Bsp/bsp_can.h @@ -0,0 +1,26 @@ +#ifndef __BSP_CAN_h +#define __BSP_CAN_h + +#include "at32a423.h" +#define DEV_CAN1_ID (0x300) + +typedef enum +{ + CAN_DISABLE, + CAN_ONCE_TIGGER, + CAN_CONTINUE +}Enum_can_mode; + +extern volatile Enum_can_mode can1_receive_fifo0_flag; + +void can1_init(void); +void send_can1_data(uint32_t id, uint8_t *msg, uint8_t msg_len); +void send_can1_buffer(uint32_t id, uint8_t *buffer, uint16_t buffer_len); +/* can transmit data */ +void can1_transmit_data(uint32_t id); +void copyToBytes(uint8_t externalArray[12][12]); +void can1_transmit_data_pressure(uint32_t id,uint8_t pressure[8]); + +void can_transmit_all_id(void); +#endif + diff --git a/Bsp/bsp_flash.c b/Bsp/bsp_flash.c new file mode 100644 index 0000000..7bef70b --- /dev/null +++ b/Bsp/bsp_flash.c @@ -0,0 +1,249 @@ +/** + ************************************************************************** + * @file flash.c + * @brief flash program + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "bsp_flash.h" +#include "string.h" + +/** @addtogroup AT32A423_periph_examples + * @{ + */ + +#if defined (AT32A423xC) +#define SECTOR_SIZE 2048 /* this parameter depends on the specific model of the chip */ +#else +#define SECTOR_SIZE 1024 /* this parameter depends on the specific model of the chip */ +#endif + +#define FLASH_HEAD 0XA55AA55A +#define FLASH_TAIL 0X5AA55AA5 + +uint16_t flash_buf[SECTOR_SIZE / 2]; + +/** + * @brief read data using halfword mode + * @param read_addr: the address of reading + * @param p_buffer: the buffer of reading data + * @param num_read: the number of reading data + * @retval 0 = success, 1 = fail + */ +uint8_t flash_read(uint32_t read_addr, void *p_buffer, uint32_t num_read) +{ + uint16_t *buf = (uint16_t *)p_buffer; + uint32_t i; + + for(i = 0; i < num_read; i++) + { + buf[i] = *(uint16_t*)(read_addr); + read_addr += 2; + } + return 0; +} + +/** + * @brief write data using halfword mode without checking + * @param write_addr: the address of writing + * @param p_buffer: the buffer of writing data + * @param num_write: the number of writing data + * @retval 0 = success, 1 = fail + */ +uint8_t flash_write_nocheck(uint32_t write_addr, const void *p_buffer, uint32_t num_write) +{ + uint16_t *buf = (uint16_t *)p_buffer; + uint32_t i; + flash_status_type status = FLASH_OPERATE_DONE; + + for(i = 0; i < num_write; i++) + { + status = flash_halfword_program(write_addr, buf[i]); + if(status != FLASH_OPERATE_DONE) + return 1; + write_addr += 2; + } + return 0; +} + +/** + * @brief write data using halfword mode with checking + * @param write_addr: the address of writing + * @param p_buffer: the buffer of writing data + * @param num_write: the number of writing data + * @retval 0 = success, 1 = fail + */ +uint8_t flash_write(uint32_t write_addr, const void *p_buffer, uint32_t num_write) +{ + uint16_t *buf = (uint16_t *)p_buffer; + uint32_t offset_addr; + uint32_t sector_position; + uint32_t sector_offset; + uint32_t sector_remain; + uint32_t i; + flash_status_type status = FLASH_OPERATE_DONE; + + flash_unlock(); + offset_addr = write_addr - FLASH_BASE; + sector_position = offset_addr / SECTOR_SIZE; + sector_offset = (offset_addr % SECTOR_SIZE) / 2; + sector_remain = (SECTOR_SIZE / 2) - sector_offset; + + if(num_write <= sector_remain) + sector_remain = num_write; + + while(1) + { + flash_read(sector_position * SECTOR_SIZE + FLASH_BASE, flash_buf, SECTOR_SIZE / 2); + for(i = 0; i < sector_remain; i++) + { + if(flash_buf[sector_offset + i] != 0xFFFF) + break; + } + if(i < sector_remain) + { + status = flash_operation_wait_for(ERASE_TIMEOUT); + + if((status == FLASH_PROGRAM_ERROR) || (status == FLASH_EPP_ERROR)) + flash_flag_clear(FLASH_PRGMERR_FLAG | FLASH_EPPERR_FLAG); + else if(status == FLASH_OPERATE_TIMEOUT) + { + flash_lock(); + return 1; + } + status = flash_sector_erase(sector_position * SECTOR_SIZE + FLASH_BASE); + if(status != FLASH_OPERATE_DONE) + { + flash_lock(); + return 1; + } + for(i = 0; i < sector_remain; i++) + { + flash_buf[i + sector_offset] = buf[i]; + } + if(flash_write_nocheck(sector_position * SECTOR_SIZE + FLASH_BASE, flash_buf, SECTOR_SIZE / 2) != 0) + { + flash_lock(); + return 1; + } + } + else + { + if(flash_write_nocheck(write_addr, buf, sector_remain) != 0) + { + flash_lock(); + return 1; + } + } + if(num_write == sector_remain) + break; + else + { + sector_position++; + sector_offset = 0; + buf += sector_remain; + write_addr += (sector_remain * 2); + num_write -= sector_remain; + if(num_write > (SECTOR_SIZE / 2)) + sector_remain = SECTOR_SIZE / 2; + else + sector_remain = num_write; + } + } + flash_lock(); + return 0; +} + +int load_config_params(flash_para_struct *params) +{ + uint32_t *head = (uint32_t*)FMC_WRITE_START_ADDR; + uint32_t *tail = (uint32_t*)(FMC_WRITE_START_ADDR + sizeof(flash_para_struct) - 4); + + if(*head == FLASH_HEAD && *tail == FLASH_TAIL) + { + memcpy((uint32_t *)params, head, sizeof(flash_para_struct)); + return 1; + } + else + { + return -1; + } +} + +int save_config_params(flash_para_struct *params) +{ + params->flash_head = FLASH_HEAD; + params->flash_tail = FLASH_TAIL; + flash_write(FMC_WRITE_START_ADDR, params, sizeof(flash_para_struct)/sizeof(uint16_t)); + return 0; +} + +/** + * @brief ָ + * @param sector_addr ʼַ + * @param len ȣδʹãֽӿڼݣ + * @return 0 = success, 1 = fail + */ +uint8_t flash_erase(uint32_t sector_addr, uint32_t len) +{ + flash_status_type status; + + flash_unlock(); + status = flash_operation_wait_for(ERASE_TIMEOUT); + if(status == FLASH_OPERATE_TIMEOUT) + { + flash_lock(); + return 1; + } + + if((status == FLASH_PROGRAM_ERROR) || (status == FLASH_EPP_ERROR)) + { + flash_flag_clear(FLASH_PRGMERR_FLAG | FLASH_EPPERR_FLAG); + } + + status = flash_sector_erase(sector_addr); + flash_lock(); + + return (status == FLASH_OPERATE_DONE) ? 0 : 1; +} + +/** + * @} + */ + +/** + * @} + */ + +uint8_t bsp_flash_is_erased(uint32_t addr, uint32_t size) +{ + const uint8_t *flash_ptr = (const uint8_t *)addr; + uint32_t i; + + for (i = 0U; i < size; i++) + { + if (flash_ptr[i] != 0xFF) + { + return 0; + } + } + return 1; +} + diff --git a/Bsp/bsp_flash.h b/Bsp/bsp_flash.h new file mode 100644 index 0000000..3c957b8 --- /dev/null +++ b/Bsp/bsp_flash.h @@ -0,0 +1,72 @@ +/** + ************************************************************************** + * @file flash.h + * @brief flash header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __BSP_FLASH_H__ +#define __BSP_FLASH_H__ + +#include "at32a423.h" + +#define FMC_WRITE_START_ADDR (0x08000000 + 1024 * 50) + +#pragma pack (1) +typedef struct +{ + uint32_t flash_head; + uint16_t output_mode; + uint16_t output_ax; + uint16_t output_ay; + uint16_t min_trigger_res_value; + uint16_t max_trigger_res_value; + uint16_t div_trigger_res; + uint32_t flash_tail; + }flash_para_struct; +#pragma pack () + +// ޸ΪƥṹҪĺ +uint8_t flash_read(uint32_t read_addr, void *p_buffer, uint32_t num_read); +uint8_t flash_write_nocheck(uint32_t write_addr, const void *p_buffer, uint32_t num_write); +uint8_t flash_write(uint32_t write_addr, const void *p_Buffer, uint32_t num_write); + +int load_config_params(flash_para_struct *params); +int save_config_params(flash_para_struct *params); + +uint8_t flash_erase(uint32_t sector_addr, uint32_t len); +uint8_t bsp_flash_is_erased(uint32_t addr, uint32_t size); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#endif + + diff --git a/Bsp/bsp_led.c b/Bsp/bsp_led.c new file mode 100644 index 0000000..72dd171 --- /dev/null +++ b/Bsp/bsp_led.c @@ -0,0 +1,86 @@ +#include "bsp_led.h" + +gpio_type *led_gpio_port[LED_NUM] = +{ + LED2_GPIO, + LED3_GPIO, + LED4_GPIO +}; +uint16_t led_gpio_pin[LED_NUM] = +{ + LED2_PIN, + LED3_PIN, + LED4_PIN +}; +crm_periph_clock_type led_gpio_crm_clk[LED_NUM] = +{ + LED2_GPIO_CRM_CLK, + LED3_GPIO_CRM_CLK, + LED4_GPIO_CRM_CLK +}; + + +void bsp_led_init(led_type led) +{ + gpio_init_type gpio_init_struct; + + /* enable the led clock */ + crm_periph_clock_enable(led_gpio_crm_clk[led], TRUE); + + /* set default parameter */ + gpio_default_para_init(&gpio_init_struct); + + /* configure the led gpio */ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_OUTPUT; + gpio_init_struct.gpio_pins = led_gpio_pin[led]; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(led_gpio_port[led], &gpio_init_struct); + gpio_bits_set(GPIOB, GPIO_PINS_7); + gpio_bits_reset(GPIOB, GPIO_PINS_7); + gpio_bits_set(GPIOB, GPIO_PINS_7); + gpio_bits_reset(GPIOB, GPIO_PINS_7); +} + +void bsp_led_on(led_type led) +{ + if(led > (LED_NUM - 1)) + return; + if(led_gpio_pin[led]) + led_gpio_port[led]->clr = led_gpio_pin[led]; +} + +/** + * @brief turns selected led off. + * @param led: specifies the led to be set off. + * this parameter can be one of following parameters: + * @arg LED2 + * @arg LED3 + * @arg LED4 + * @retval none + */ +void bsp_led_off(led_type led) +{ + if(led > (LED_NUM - 1)) + return; + if(led_gpio_pin[led]) + led_gpio_port[led]->scr = led_gpio_pin[led]; +} + +/** + * @brief turns selected led toggle. + * @param led: specifies the led to be set off. + * this parameter can be one of following parameters: + * @arg LED2 + * @arg LED3 + * @arg LED4 + * @retval none + */ +void bsp_led_toggle(led_type led) +{ + if(led > (LED_NUM - 1)) + return; + if(led_gpio_pin[led]) + led_gpio_port[led]->odt ^= led_gpio_pin[led]; +} diff --git a/Bsp/bsp_led.h b/Bsp/bsp_led.h new file mode 100644 index 0000000..f54b69a --- /dev/null +++ b/Bsp/bsp_led.h @@ -0,0 +1,35 @@ +#ifndef __BSP_LED_H +#define __BSP_LED_H + +#include "at32a423.h" + +#define LED_NUM 3 + +#define LED2_PIN GPIO_PINS_7 +#define LED2_GPIO GPIOB +#define LED2_GPIO_CRM_CLK CRM_GPIOB_PERIPH_CLOCK + +#define LED3_PIN GPIO_PINS_7 +#define LED3_GPIO GPIOB +#define LED3_GPIO_CRM_CLK CRM_GPIOB_PERIPH_CLOCK + +#define LED4_PIN GPIO_PINS_7 +#define LED4_GPIO GPIOB +#define LED4_GPIO_CRM_CLK CRM_GPIOB_PERIPH_CLOCK + + +typedef enum +{ + LED2 = 0, + LED3 = 1, + LED4 = 2 +} led_type; + + +void bsp_led_init(led_type led); +void bsp_led_on(led_type led); +void bsp_led_off(led_type led); +void bsp_led_toggle(led_type led); + +#endif + diff --git a/Bsp/bsp_lin.c b/Bsp/bsp_lin.c new file mode 100644 index 0000000..22d73f1 --- /dev/null +++ b/Bsp/bsp_lin.c @@ -0,0 +1,235 @@ +#include "bsp_lin.h" +#include "circular_buffer.h" + + +static lin_error_enum lin_error = FIFO_VOID; +static lin_rxstate_enum lin_rxstateget = BREAK_GET; +static lin_msg_struct lin_msg = {0}; +static CircBuf_t lin_rx_circbuf = {0};//ջζ + + +void lin_init(void) +{ + gpio_init_type gpio_init_struct; + + crm_periph_clock_enable(CRM_USART5_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + + // TX + gpio_default_para_init(&gpio_init_struct); // սṹ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_MODERATE; // еǿ + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_OPEN_DRAIN; // + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; // Ÿģʽ + gpio_init_struct.gpio_pins = GPIO_PINS_3; // TX + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; // + gpio_init(GPIOB, &gpio_init_struct); // ʼTX + + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE3, GPIO_MUX_10); + + // RX + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; // ģʽ + gpio_init_struct.gpio_pins = GPIO_PINS_4; // RX + gpio_init(GPIOB, &gpio_init_struct); // ʼRX + + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE4, GPIO_MUX_10); + + // USART + usart_init(USART5, Lin_Speed, USART_DATA_8BITS, USART_STOP_1_BIT); + usart_transmitter_enable(USART5, TRUE); // ʹܷ + usart_receiver_enable(USART5, TRUE); // ʹܽ + usart_parity_selection_config(USART5, USART_PARITY_NONE); // żУ + usart_break_bit_num_set(USART5, USART_BREAK_11BITS); // ֡ + usart_lin_mode_enable(USART5, TRUE); // LINģʽ + + // ж + nvic_irq_enable(USART5_IRQn, 0, 0); // ôȼ + usart_enable(USART5, TRUE); // ʹUSART1 + usart_interrupt_enable(USART5, USART_BF_INT, TRUE); // ʹ֡ж + usart_interrupt_enable(USART5, USART_RDBF_INT,TRUE);// ʹܴڽж + + CircBuf_Alloc(&lin_rx_circbuf, sizeof(lin_msg_struct)*2); +} + +uint8_t lin_getpid(uint8_t id) +{ + uint8_t pid = 0, p0 = 0, p1 = 0; + + p0 = (((id>>0)^(id>>1)^(id>>2)^(id>>4))&0x01)<<6;//żУλ + p1 = ((~((id>>1)^(id>>3)^(id>>4)^(id>>5)))&0x01)<<7;//Уλ + pid = (id|p0|p1); + return pid; +} + +uint8_t lin_getchecksum(uint8_t pid, uint8_t* p_data, uint8_t data_len, uint8_t flag) +{ + uint16_t checksum = 0; + if((pid != 0x3c)&&(pid != 0x7d)) + { + checksum = pid; + } + for(uint8_t i = 0; i < data_len; i++) + { + checksum += p_data[i]; + if(checksum > 0xff) + { + checksum -=0xff; + } + } + + if(flag == 0) + { + return (~checksum) & 0xff; //ͷҪȡ + } + else + { + return checksum & 0xff; //շҪ + } +} + +void lin_send_bytes(usart_type * usart_x, uint8_t* p_data, uint8_t data_len) +{ + for(uint8_t i = 0; i < data_len; i++) + { + usart_data_transmit(usart_x, *p_data++); + while(usart_flag_get(USART3, USART_TDBE_FLAG) == RESET); + } +} + +void lin_rx_data(uint8_t pid, uint8_t* p_data, uint8_t data_len) +{ + uint8_t lin_buffer[data_len + 1]; + uint8_t checksum = lin_getchecksum(pid, p_data, data_len, 0); + + for(uint8_t i = 0; i < data_len; i++) + { + lin_buffer[i] = *(p_data + i); + } + + lin_buffer[data_len] = checksum; + lin_send_bytes(USART3,lin_buffer, data_len + 1); +} + + +void lin_master_rxmsg(uint8_t data) +{ + lin_msg_struct* p_lin_msg = &lin_msg; + + switch((uint8_t)lin_rxstateget) + { + case BREAK_GET: + break; + case SYNCH_GET: + { + if(data != 0x55) + { + lin_error = SYNC_ERR; + lin_rxstateget = BREAK_GET; + } + else + { + p_lin_msg->sync = data; + lin_rxstateget = PID_GET; + } + } + break; + + case PID_GET: + { + p_lin_msg->frameid = data&0x3f; + p_lin_msg->pid = data; + uint8_t pid = lin_getpid(p_lin_msg->frameid); + + if(pid == p_lin_msg->pid) + { + if(p_lin_msg->frameid == 0x03) //ִ + { + lin_rxstateget = MSG_GET; + p_lin_msg->datalen = 0; + } + else if(p_lin_msg->frameid == 0x32) // lin߷Ϣ + { + lin_rx_data(p_lin_msg->pid, &data, 1); + lin_rxstateget = BREAK_GET; + } + else + { + lin_rxstateget = BREAK_GET; + } + } + else + { + lin_error = PID_ERR; + lin_rxstateget = BREAK_GET; + } + } + break; + + case MSG_GET: + { + p_lin_msg->data[p_lin_msg->datalen++] = data; + lin_rxstateget = (p_lin_msg->datalen >= 8) ? CHECKSUM_GET:MSG_GET; + } + break; + + case CHECKSUM_GET: + { + p_lin_msg->checksum = data; + uint8_t checksum = lin_getchecksum(p_lin_msg->pid, p_lin_msg->data, p_lin_msg->datalen, 1); + if((checksum + p_lin_msg->checksum) == 0xff) + { + CircBuf_Push(&lin_rx_circbuf, (uint8_t *)p_lin_msg, sizeof(lin_msg_struct)); + } + else + { + lin_error = FORMAT_ERR; + } + lin_rxstateget = BREAK_GET; + } + break; + + default: + lin_rxstateget = BREAK_GET; + break; + } +} + +uint8_t rx_ring_buffer_get_lin_msg(lin_msg_struct * p_lin_msg) +{ + return CircBuf_Pop(&lin_rx_circbuf,(uint8_t*)p_lin_msg, sizeof(lin_msg_struct)); +} + +void USART5_IRQHandler(void) +{ + uint8_t receive_data = 0; + + + if(RESET != usart_interrupt_flag_get(USART5,USART_BFF_FLAG)) + { + usart_data_receive(USART5); + + lin_rxstateget = SYNCH_GET; + + usart_flag_clear(USART5,USART_FERR_FLAG);//֡־linϿҲݣֻϿdz10λ0ϴڵ֡׼Գ֡ + usart_flag_clear(USART5,USART_BFF_FLAG); + usart_flag_clear(USART5,USART_RDBF_FLAG); + return ; + } + + if(RESET != usart_interrupt_flag_get(USART5,USART_RDBF_FLAG)) + { + receive_data = usart_data_receive(USART5); + if(RESET == usart_interrupt_flag_get(USART5,USART_FERR_FLAG)) + { + if((receive_data == 0x55)&&(lin_rxstateget == BREAK_GET)) + { + lin_rxstateget = SYNCH_GET; + return ; + } + + lin_master_rxmsg(receive_data); + } + + usart_flag_clear(USART5,USART_RDBF_FLAG); + } +} + diff --git a/Bsp/bsp_lin.h b/Bsp/bsp_lin.h new file mode 100644 index 0000000..ff4bf33 --- /dev/null +++ b/Bsp/bsp_lin.h @@ -0,0 +1,42 @@ +#ifndef _BSP_LIN_H +#define _BSP_LIN_H +#include "at32a423.h" +#define Lin_Speed 19200 + +//LIN״̬ +typedef enum +{ + BREAK_GET = 0, + SYNCH_GET, + PID_GET, + MSG_GET, + CHECKSUM_GET, +}lin_rxstate_enum; + +typedef enum +{ + LIN_OK = 0, + FIFO_VOID, // + SYNC_ERR, //ͬδ + PID_ERR, //PID + NO_RESPONES, //Ӧ + CYHECK_ERR, //ݳȴ + FORMAT_ERR, //Уʹ +}lin_error_enum; + +#pragma pack (1) +typedef struct +{ + uint8_t sync; //ͬΣ̶ֵ0x55 + uint8_t frameid; //֡ID + uint8_t pid; //PID + uint8_t datalen; //LINݶЧֽ + uint8_t data[8]; //ݶΣlin涨ݳ8ֽڣ + uint8_t checksum; //У +}lin_msg_struct; +#pragma pack() + +void lin_init(void); +uint8_t rx_ring_buffer_get_lin_msg(lin_msg_struct * p_lin_msg); +void USART3_IRQHandler(void); +#endif diff --git a/Bsp/bsp_mos.c b/Bsp/bsp_mos.c new file mode 100644 index 0000000..14ad6a6 --- /dev/null +++ b/Bsp/bsp_mos.c @@ -0,0 +1,14 @@ +#include "bsp_mos.h" +#include "74hc595.h" + +void mos_init(void) +{ + ic_74hc595_init(); + +} + +void mos_set(mos_union mos_data) +{ + ic_74hc595_wirte_32bit(mos_data.mos); +} + diff --git a/Bsp/bsp_mos.h b/Bsp/bsp_mos.h new file mode 100644 index 0000000..98635f1 --- /dev/null +++ b/Bsp/bsp_mos.h @@ -0,0 +1,45 @@ +#ifndef __BSP_MOS_H +#define __BSP_MOS_H +#include "at32a423.h" + +#define MOS(x) ((uint32_t)((uint32_t)0x01U<<(x))) + +#define ALL_PRESSURIZE_MOS MOS(0)|MOS(1)|MOS(2)|MOS(3)|MOS(4)|MOS(5)|MOS(6)|MOS(7)|MOS(8)|MOS(9) +#define ALL_INLET_MOS MOS(10)|MOS(11)|MOS(12)|MOS(13)|MOS(14)|MOS(15)|MOS(16)|MOS(17)|MOS(18)|MOS(19) +#define ALL_MOS 0XFFFFFFFF + +typedef union + { + __IO uint32_t mos; + struct + { + __IO uint32_t mos0 : 1; /* [0] */ + __IO uint32_t mos1 : 1; /* [1] */ + __IO uint32_t mos2 : 1; /* [2] */ + __IO uint32_t mos3 : 1; /* [3] */ + __IO uint32_t mos4 : 1; /* [4] */ + __IO uint32_t mos5 : 1; /* [5] */ + __IO uint32_t mos6 : 1; /* [6] */ + __IO uint32_t mos7 : 1; /* [7] */ + __IO uint32_t mos8 : 1; /* [8] */ + __IO uint32_t mos9 : 1; /* [9] */ + __IO uint32_t mos10 : 1; /* [10] */ + __IO uint32_t mos11 : 1; /* [11] */ + __IO uint32_t mos12 : 1; /* [12] */ + __IO uint32_t mos13 : 1; /* [13] */ + __IO uint32_t mos14 : 1; /* [14] */ + __IO uint32_t mos15 : 1; /* [15] */ + __IO uint32_t mos16 : 1; /* [16] */ + __IO uint32_t mos17 : 1; /* [17] */ + __IO uint32_t mos18 : 1; /* [18] */ + __IO uint32_t mos19 : 1; /* [19] */ + __IO uint32_t mos20 : 1; /* [20] */ + __IO uint32_t reserved1 : 11;/* [31:21] */ + } mos_bit; + }mos_union; + +void mos_init(void); +void mos_set(mos_union mos_data); +#endif + + diff --git a/Bsp/bsp_moto.c b/Bsp/bsp_moto.c new file mode 100644 index 0000000..e7ce8f6 --- /dev/null +++ b/Bsp/bsp_moto.c @@ -0,0 +1,62 @@ +#include "bsp_moto.h" + + +void bsp_moto_init(uint16_t div, uint16_t period) +{ + gpio_init_type gpio_init_struct; + tmr_output_config_type tmr_output_struct; + + /* enable tmr1/gpioa/gpiob clock */ + crm_periph_clock_enable(CRM_TMR4_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + + gpio_init_struct.gpio_pins = GPIO_PINS_6 | GPIO_PINS_7; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init(GPIOB, &gpio_init_struct); + + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE6, GPIO_MUX_2); + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE7, GPIO_MUX_2); + + + tmr_reset(TMR4); + tmr_base_init(TMR4, period, div); + tmr_cnt_dir_set(TMR4, TMR_COUNT_UP); + + tmr_output_default_para_init(&tmr_output_struct); + tmr_output_struct.oc_mode = TMR_OUTPUT_CONTROL_PWM_MODE_A; + tmr_output_struct.oc_output_state = TRUE; + tmr_output_struct.oc_polarity = TMR_OUTPUT_ACTIVE_HIGH; + tmr_output_struct.oc_idle_state = FALSE; + + /* channel 1 */ + tmr_output_channel_config(TMR4, TMR_SELECT_CHANNEL_1, &tmr_output_struct); + tmr_output_channel_buffer_enable(TMR4, TMR_SELECT_CHANNEL_1, TRUE); + + /* channel 2 */ + tmr_output_channel_config(TMR4, TMR_SELECT_CHANNEL_2, &tmr_output_struct); + tmr_output_channel_buffer_enable(TMR4, TMR_SELECT_CHANNEL_2, TRUE); + + tmr_period_buffer_enable(TMR4, TRUE); + + + /* enable tmr1 */ + tmr_counter_enable(TMR4, TRUE); +} + + +void set_moto_out(uint8_t dir, uint32_t speed) +{ + if( dir == 1 ) + { + tmr_channel_value_set(TMR4, TMR_SELECT_CHANNEL_1, 0); + tmr_channel_value_set(TMR4, TMR_SELECT_CHANNEL_2, speed); + } + else + { + tmr_channel_value_set(TMR4, TMR_SELECT_CHANNEL_1, speed); + tmr_channel_value_set(TMR4, TMR_SELECT_CHANNEL_2, 0); + } +} diff --git a/Bsp/bsp_moto.h b/Bsp/bsp_moto.h new file mode 100644 index 0000000..c4be08f --- /dev/null +++ b/Bsp/bsp_moto.h @@ -0,0 +1,9 @@ +#ifndef __BSP_MOTO_H +#define __BSP_MOTO_H +#include "at32a423.h" + +void bsp_moto_init(uint16_t div, uint16_t period); +void set_moto_out(uint8_t dir, uint32_t speed); + +#endif + diff --git a/Bsp/bsp_mx_lin.c b/Bsp/bsp_mx_lin.c new file mode 100644 index 0000000..d676e54 --- /dev/null +++ b/Bsp/bsp_mx_lin.c @@ -0,0 +1,76 @@ +#include "bsp_mx_lin.h" +#include "bsp_lin.h" +#include "bsp_airsac.h" +static lin_msg_struct g_lin_msg = {0}; + + +uint8_t lin_set_airsac_stop(lin_msg_struct * p_lin_msg) +{ + airsac_stop(); + return 1; +} + +uint8_t lin_set_airsac_discharge(lin_msg_struct * p_lin_msg) +{ + if(p_lin_msg->datalen >= 2) + { + airsac_num airsac = (airsac_num)p_lin_msg->data[1]; + airsac_discharge(airsac); + return 1; + } + return 0; +} + +uint8_t lin_set_airsac_charge(lin_msg_struct * p_lin_msg) +{ + if(p_lin_msg->datalen >= 2) + { + airsac_num airsac = (airsac_num)p_lin_msg->data[1]; + airsac_charge(airsac); + return 1; + } + return 0; +} + +uint8_t lin_set_all_airsac_discharge(lin_msg_struct * p_lin_msg) +{ + all_airsac_discharge(); + return 1; +} + +uint8_t lin_set_all_airsac_charge(lin_msg_struct * p_lin_msg) +{ + all_airsac_charge(); + return 1; +} + +void mx_lin_handle(void) +{ + lin_msg_struct * p_lin_msg = &g_lin_msg; + + + + if(rx_ring_buffer_get_lin_msg(p_lin_msg)) + { + if(p_lin_msg->frameid == 0x03) + { + switch(p_lin_msg->data[0]) + { + case 0x10: lin_set_airsac_stop(p_lin_msg); + break; + case 0x11: lin_set_airsac_discharge(p_lin_msg); + break; + case 0x12: lin_set_airsac_charge(p_lin_msg); + break; + case 0x13: lin_set_all_airsac_discharge(p_lin_msg); + break; + case 0x14: lin_set_all_airsac_charge(p_lin_msg); + break; + default: + break; + } + } + } +} + + diff --git a/Bsp/bsp_mx_lin.h b/Bsp/bsp_mx_lin.h new file mode 100644 index 0000000..730f73f --- /dev/null +++ b/Bsp/bsp_mx_lin.h @@ -0,0 +1,10 @@ +#ifndef __BSP_MX_LIN_H +#define __BSP_MX_LIN_H +#include "at32a423.h" + +void mx_lin_handle(void); + + +#endif + + diff --git a/Bsp/bsp_rs2251.c b/Bsp/bsp_rs2251.c new file mode 100644 index 0000000..f46756c --- /dev/null +++ b/Bsp/bsp_rs2251.c @@ -0,0 +1,56 @@ +#include "bsp_rs2251.h" +#include "bsp_adc.h" + +void ref_gpio_init(void) +{ + gpio_init_type gpio_init_struct; + + /* enable the led clock */ + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK, TRUE); + + /* set default parameter */ + gpio_default_para_init(&gpio_init_struct); + + /* configure the led gpio */ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_OUTPUT; + gpio_init_struct.gpio_pins = GPIO_PINS_3; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOA, &gpio_init_struct); + gpio_bits_set(GPIOA, GPIO_PINS_3); +} + +void RS2251_Init(void) +{ + gpio_init_type gpio_init_struct; + + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + + /* set default parameter */ + gpio_default_para_init(&gpio_init_struct); + + /* configure the led gpio */ + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_OUTPUT; + gpio_init_struct.gpio_pins = GPIO_PINS_3 | GPIO_PINS_4 | GPIO_PINS_5; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOB, &gpio_init_struct); + + gpio_bits_reset(GPIOB,GPIO_PINS_3); + gpio_bits_reset(GPIOB,GPIO_PINS_4); + gpio_bits_reset(GPIOB,GPIO_PINS_5); +} + +/* + 功能：AY SCAN + 输入：data 0 -> 7 + */ +void Choose_AX_Channel(uint8_t data) +{ + C_A( data & 0x01); + C_B((data & 0x02) >> 1); + C_C((data & 0x04) >> 2); +} + diff --git a/Bsp/bsp_rs2251.h b/Bsp/bsp_rs2251.h new file mode 100644 index 0000000..60d8a00 --- /dev/null +++ b/Bsp/bsp_rs2251.h @@ -0,0 +1,30 @@ +#ifndef __BSP_RS2251_h +#define __BSP_RS2251_h +#include "at32a423.h" + + +#define REF_OUT(a) if (a) \ + gpio_bits_set(GPIOA, GPIO_PINS_3);\ + else \ + gpio_bits_reset(GPIOA, GPIO_PINS_3) + + +// Column_Selection +#define C_A(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_5);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_5) +#define C_B(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_4);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_4) +#define C_C(a) if (a) \ + gpio_bits_set(GPIOB, GPIO_PINS_3);\ + else \ + gpio_bits_reset(GPIOB, GPIO_PINS_3) + + +void RS2251_Init(void); +void ref_gpio_init(void); +void Choose_AX_Channel(uint8_t data); +#endif diff --git a/Bsp/bsp_spi.c b/Bsp/bsp_spi.c new file mode 100644 index 0000000..e02302c --- /dev/null +++ b/Bsp/bsp_spi.c @@ -0,0 +1,112 @@ +#include "bsp_spi.h" + + +static void gpio_config(void) +{ + gpio_init_type gpio_initstructure; + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK, TRUE); + gpio_default_para_init(&gpio_initstructure); + + + + /* spi3 sck pin */ + gpio_initstructure.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_initstructure.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_initstructure.gpio_mode = GPIO_MODE_MUX; + gpio_initstructure.gpio_pull = GPIO_PULL_DOWN; + gpio_initstructure.gpio_pins = GPIO_PINS_4; + gpio_init(GPIOA, &gpio_initstructure); + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE4, GPIO_MUX_5); + + + gpio_initstructure.gpio_pull = GPIO_PULL_DOWN; + gpio_initstructure.gpio_pins = GPIO_PINS_5; + gpio_init(GPIOA, &gpio_initstructure); + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE5, GPIO_MUX_5); + + /* spi3 miso pin */ + gpio_initstructure.gpio_pull = GPIO_PULL_UP; + gpio_initstructure.gpio_pins = GPIO_PINS_6; + gpio_init(GPIOA, &gpio_initstructure); + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE6, GPIO_MUX_5); + + /* spi3 mosi pin */ + gpio_initstructure.gpio_pull = GPIO_PULL_UP; + gpio_initstructure.gpio_pins = GPIO_PINS_7; + gpio_init(GPIOA, &gpio_initstructure); + gpio_pin_mux_config(GPIOA, GPIO_PINS_SOURCE7, GPIO_MUX_5); + +} + +static void spi_config(void) +{ + spi_init_type spi_init_struct; + /* master spi initialization */ + crm_periph_clock_enable(CRM_SPI1_PERIPH_CLOCK, TRUE); + spi_default_para_init(&spi_init_struct); + + /* dual line unidirectional full-duplex mode */ + spi_init_struct.transmission_mode = SPI_TRANSMIT_FULL_DUPLEX; + spi_init_struct.master_slave_mode = SPI_MODE_SLAVE; + spi_init_struct.mclk_freq_division = SPI_MCLK_DIV_64; + spi_init_struct.first_bit_transmission = SPI_FIRST_BIT_MSB; + spi_init_struct.frame_bit_num = SPI_FRAME_8BIT; + spi_init_struct.clock_polarity = SPI_CLOCK_POLARITY_LOW; + spi_init_struct.clock_phase = SPI_CLOCK_PHASE_1EDGE; + spi_init_struct.cs_mode_selection = SPI_CS_HARDWARE_MODE; + spi_init(SPI1, &spi_init_struct); + spi_i2s_dma_transmitter_enable(SPI1,TRUE); + spi_i2s_dma_receiver_enable(SPI1,TRUE); + spi_enable(SPI1, TRUE); +} + +static void dma_config(uint8_t *buffer, uint16_t buffer_size) +{ + dma_init_type dma_init_struct; + crm_periph_clock_enable(CRM_DMA2_PERIPH_CLOCK, TRUE); + dmamux_enable(DMA2, TRUE); + + dma_reset(DMA2_CHANNEL1); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = buffer_size; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_HIGH; + dma_init_struct.loop_mode_enable = FALSE; + dma_init_struct.memory_base_addr = (uint32_t)buffer; + dma_init_struct.peripheral_base_addr = (uint32_t)&(SPI1->dt); + dma_init_struct.direction = DMA_DIR_MEMORY_TO_PERIPHERAL; + dma_init(DMA2_CHANNEL1, &dma_init_struct); + dmamux_init(DMA2MUX_CHANNEL1, DMAMUX_DMAREQ_ID_SPI1_TX); + dma_channel_enable(DMA2_CHANNEL1, TRUE); + + dma_reset(DMA2_CHANNEL1); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = buffer_size; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_HIGH; + dma_init_struct.loop_mode_enable = FALSE; + dma_init_struct.memory_base_addr = (uint32_t)buffer; + dma_init_struct.peripheral_base_addr = (uint32_t)&(SPI1->dt); + dma_init_struct.direction = DMA_DIR_MEMORY_TO_PERIPHERAL; + dma_init(DMA2_CHANNEL1, &dma_init_struct); + dmamux_init(DMA2MUX_CHANNEL1, DMAMUX_DMAREQ_ID_SPI1_TX); + dma_channel_enable(DMA2_CHANNEL1, TRUE); + +} + +void spi1_init(uint8_t *buffer, uint16_t buffer_size) +{ + gpio_config(); + dma_config(buffer, buffer_size); + spi_config(); +} + + + + diff --git a/Bsp/bsp_spi.h b/Bsp/bsp_spi.h new file mode 100644 index 0000000..b3722f4 --- /dev/null +++ b/Bsp/bsp_spi.h @@ -0,0 +1,11 @@ +#ifndef _BSP_SPI_H +#define _BSP_SPI_H +#include "at32a423.h" + +#define SPI_SLAVE_CS_READ() gpio_input_data_bit_read(GPIOA, GPIO_PINS_4) + +void spi1_init(uint8_t *buffer, uint16_t buffer_size); +uint8_t spi_tx_rx_buffer(uint8_t *tx_buffer, uint8_t *rx_buffer, uint16_t buffer_len); + +#endif + diff --git a/Bsp/bsp_uart.c b/Bsp/bsp_uart.c new file mode 100644 index 0000000..0172b6d --- /dev/null +++ b/Bsp/bsp_uart.c @@ -0,0 +1,648 @@ +#include "bsp_uart.h" +#include "stdio.h" +#include "string.h" + +#if CIRCULAR_BUFFER_ENABLE +#include "circular_buffer.h" +CircBuf_t USART1_RxC = {0}; +CircBuf_t USART2_RxC = {0}; +CircBuf_t USART3_RxC = {0}; +CircBuf_t USART4_RxC = {0}; +CircBuf_t USART5_RxC = {0}; + +CircBuf_t USART1_TxC = {0}; +CircBuf_t USART2_TxC = {0}; +CircBuf_t USART3_TxC = {0}; +CircBuf_t USART4_TxC = {0}; +CircBuf_t USART5_TxC = {0}; + +uint8_t usart1_RX_CBUFF[USART1_RX_BUF_LEN*2]; // ѭ +uint8_t usart2_RX_CBUFF[USART2_RX_BUF_LEN*2]; // ѭ +uint8_t usart3_RX_CBUFF[USART3_RX_BUF_LEN*2]; // ѭ +uint8_t usart4_RX_CBUFF[USART4_RX_BUF_LEN*2]; // ѭ +uint8_t usart5_RX_CBUFF[USART5_RX_BUF_LEN*2]; // ѭ + +uint8_t usart1_TX_CBUFF[USART1_TX_BUF_LEN*2]; // ѭ +uint8_t usart2_TX_CBUFF[USART2_TX_BUF_LEN*2]; // ѭ +uint8_t usart3_TX_CBUFF[USART3_TX_BUF_LEN*2]; // ѭ +uint8_t usart4_TX_CBUFF[USART4_TX_BUF_LEN*2]; // ѭ +uint8_t usart5_TX_CBUFF[USART5_TX_BUF_LEN*2]; // ѭ + +#endif + +uint8_t usart1_tx_buf[USART1_TX_BUF_LEN] = {0};//ͻ +uint8_t usart1_rx_buf[USART1_RX_BUF_LEN] = {0};//ջ +uint8_t usart3_tx_buf[USART3_TX_BUF_LEN] = {0};//ͻ +uint8_t usart3_rx_buf[USART3_RX_BUF_LEN] = {0};//ջ +uint8_t usart5_tx_buf[USART5_TX_BUF_LEN] = {0};//ͻ +uint8_t usart5_rx_buf[USART5_RX_BUF_LEN] = {0};//ջ + +//1 +void uart1_config(uint32_t band_rate) +{ + gpio_init_type gpio_init_struct; + dma_init_type dma_init_struct; + + crm_periph_clock_enable(CRM_GPIOA_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable( CRM_USART1_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_DMA1_PERIPH_CLOCK, TRUE); + + gpio_default_para_init(&gpio_init_struct); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = BSP_USART1_TX_PIN; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(USART1_GPIOx, &gpio_init_struct); + + gpio_pin_mux_config(USART1_GPIOx, GPIO_PINS_SOURCE9, GPIO_MUX_7); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = BSP_USART1_RX_PIN; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(USART1_GPIOx, &gpio_init_struct); + + gpio_pin_mux_config(USART1_GPIOx, GPIO_PINS_SOURCE10, GPIO_MUX_7); + + usart_init(USART1, band_rate, USART_DATA_8BITS, USART_STOP_1_BIT); + usart_transmitter_enable(USART1, TRUE); + usart_receiver_enable(USART1, TRUE); + usart_enable(USART1, TRUE); + nvic_irq_enable(USART1_IRQn, 2, 0); + usart_interrupt_enable(USART1, USART_IDLE_INT, TRUE); + + //TX_DMA_init + dma_reset(DMA1_CHANNEL1); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart1_tx_buf); + dma_init_struct.direction = DMA_DIR_MEMORY_TO_PERIPHERAL; + dma_init_struct.memory_base_addr = (uint32_t)&usart1_tx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART1->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL1, &dma_init_struct); + usart_dma_transmitter_enable(USART1, TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL1, DMAMUX_DMAREQ_ID_USART1_TX); + + //RX_DMA_init + dma_reset(DMA1_CHANNEL2); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart1_rx_buf); + dma_init_struct.direction = DMA_DIR_PERIPHERAL_TO_MEMORY; + dma_init_struct.memory_base_addr = (uint32_t)&usart1_rx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART1->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL2, &dma_init_struct); + usart_dma_receiver_enable(USART1, TRUE); + dma_channel_enable(DMA1_CHANNEL2,TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL2, DMAMUX_DMAREQ_ID_USART1_RX); +} + +void USART1_IRQHandler(void) +{ + uint16_t recv_num = 0; + uint16_t send_num = 0; + + //ж + if((RESET != usart_interrupt_flag_get(USART1, USART_IDLEF_FLAG)) && + (RESET != usart_flag_get(USART1, USART_IDLEF_FLAG))) + { + usart_flag_clear(USART1,USART_IDLEF_FLAG); + recv_num = sizeof(usart1_rx_buf) - dma_data_number_get(DMA1_CHANNEL2); + #if CIRCULAR_BUFFER_ENABLE + CircBuf_Push(&USART1_RxC, usart1_rx_buf, recv_num); + #endif + dma_channel_enable(DMA1_CHANNEL2, FALSE); + dma_data_number_set(DMA1_CHANNEL2,sizeof(usart1_rx_buf)); + dma_channel_enable(DMA1_CHANNEL2, TRUE); + } + + //ж + if(RESET != usart_interrupt_flag_get(USART1,USART_TDC_FLAG)) + { + #if CIRCULAR_BUFFER_ENABLE + send_num = CircBuf_Pop(&USART1_TxC,usart1_tx_buf,sizeof(usart1_tx_buf)); + #endif + if(send_num) + { + dma_channel_enable(DMA1_CHANNEL1,FALSE); + dma_flag_clear(DMA1_FDT1_FLAG); + dma_data_number_set(DMA1_CHANNEL1, send_num); + usart_dma_transmitter_enable(USART1, TRUE); + dma_channel_enable(DMA1_CHANNEL1,TRUE); + } + + usart_interrupt_enable(USART1, USART_TDC_INT, FALSE); + } +} + +void uart1_dma_send_data(uint8_t *buffer,uint16_t len) +{ + dma_channel_enable(DMA1_CHANNEL1,FALSE); + dma_flag_clear(DMA1_FDT1_FLAG); + memcpy(usart1_tx_buf,buffer,len); + dma_data_number_set(DMA1_CHANNEL1, len); + usart_dma_transmitter_enable(USART1, TRUE); + dma_channel_enable(DMA1_CHANNEL1,TRUE); +} + +void uart1_init(uint32_t band_rate) +{ + uart1_config(band_rate); + #if CIRCULAR_BUFFER_ENABLE + CircBuf_Init(&USART1_RxC, usart1_RX_CBUFF, 1024); + CircBuf_Init(&USART1_TxC, usart1_TX_CBUFF, 1024); + #endif +} + +//3 +void uart3_config(uint32_t band_rate) +{ + gpio_init_type gpio_init_struct; + dma_init_type dma_init_struct; + + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable( CRM_USART3_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_DMA1_PERIPH_CLOCK, TRUE); + + gpio_default_para_init(&gpio_init_struct); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = BSP_USART3_TX_PIN; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(USART3_GPIOx, &gpio_init_struct); + + gpio_pin_mux_config(USART3_GPIOx, GPIO_PINS_SOURCE10, GPIO_MUX_7); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = BSP_USART3_RX_PIN; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(USART3_GPIOx, &gpio_init_struct); + + gpio_pin_mux_config(USART3_GPIOx, GPIO_PINS_SOURCE11, GPIO_MUX_7); + + usart_init(USART3, band_rate, USART_DATA_8BITS, USART_STOP_1_BIT); + usart_transmitter_enable(USART3, TRUE); + usart_receiver_enable(USART3, TRUE); + usart_enable(USART3, TRUE); + nvic_irq_enable(USART3_IRQn, 2, 0); + usart_interrupt_enable(USART3, USART_IDLE_INT, TRUE); + + //TX_DMA_init + dma_reset(DMA1_CHANNEL5); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart3_tx_buf); + dma_init_struct.direction = DMA_DIR_MEMORY_TO_PERIPHERAL; + dma_init_struct.memory_base_addr = (uint32_t)&usart3_tx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART3->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL5, &dma_init_struct); + usart_dma_transmitter_enable(USART3, TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL5, DMAMUX_DMAREQ_ID_USART3_TX); + + //RX_DMA_init + dma_reset(DMA1_CHANNEL6); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart3_rx_buf); + dma_init_struct.direction = DMA_DIR_PERIPHERAL_TO_MEMORY; + dma_init_struct.memory_base_addr = (uint32_t)&usart3_rx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART3->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL6, &dma_init_struct); + usart_dma_receiver_enable(USART3, TRUE); + dma_channel_enable(DMA1_CHANNEL6,TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL6, DMAMUX_DMAREQ_ID_USART3_RX); +} + +void USART3_IRQHandler(void) +{ + uint16_t recv_num = 0; + uint16_t send_num = 0; + + //ж + if((RESET != usart_interrupt_flag_get(USART3, USART_IDLEF_FLAG)) && + (RESET != usart_flag_get(USART3, USART_IDLEF_FLAG))) + { + usart_flag_clear(USART3,USART_IDLEF_FLAG); + recv_num = sizeof(usart3_rx_buf) - dma_data_number_get(DMA1_CHANNEL6); + #if CIRCULAR_BUFFER_ENABLE + CircBuf_Push(&USART3_RxC, usart3_rx_buf, recv_num); + #endif + dma_channel_enable(DMA1_CHANNEL6, FALSE); + dma_data_number_set(DMA1_CHANNEL6,sizeof(usart3_rx_buf)); + dma_channel_enable(DMA1_CHANNEL6, TRUE); + } + + //ж + if(RESET != usart_interrupt_flag_get(USART3,USART_TDC_FLAG)) + { + #if CIRCULAR_BUFFER_ENABLE + send_num = CircBuf_Pop(&USART3_TxC,usart3_tx_buf,sizeof(usart3_tx_buf)); + #endif + if(send_num) + { + dma_channel_enable(DMA1_CHANNEL5,FALSE); + dma_flag_clear(DMA1_FDT5_FLAG); + dma_data_number_set(DMA1_CHANNEL5, send_num); + usart_dma_transmitter_enable(USART3, TRUE); + dma_channel_enable(DMA1_CHANNEL5,TRUE); + } + + usart_interrupt_enable(USART3, USART_TDC_INT, FALSE); + } +} + +void uart3_dma_send_data(uint8_t *buffer,uint16_t len) +{ + dma_channel_enable(DMA1_CHANNEL5,FALSE); + dma_flag_clear(DMA1_FDT5_FLAG); + memcpy(usart3_tx_buf,buffer,len); + dma_data_number_set(DMA1_CHANNEL5, len); + usart_dma_transmitter_enable(USART3, TRUE); + dma_channel_enable(DMA1_CHANNEL5,TRUE); +} + +void uart3_init(uint32_t band_rate) +{ + uart3_config(band_rate); + #if CIRCULAR_BUFFER_ENABLE + CircBuf_Init(&USART3_RxC, usart3_RX_CBUFF, 1024); + CircBuf_Init(&USART3_TxC, usart3_TX_CBUFF, 1024); + #endif +} + + + +//5 +void uart5_config(uint32_t band_rate) +{ + gpio_init_type gpio_init_struct; + dma_init_type dma_init_struct; + + crm_periph_clock_enable(CRM_GPIOB_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable( CRM_USART5_PERIPH_CLOCK, TRUE); + crm_periph_clock_enable(CRM_DMA1_PERIPH_CLOCK, TRUE); + + gpio_default_para_init(&gpio_init_struct); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = GPIO_PINS_3; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOB, &gpio_init_struct); + + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE3, GPIO_MUX_10); + + gpio_init_struct.gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; + gpio_init_struct.gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct.gpio_mode = GPIO_MODE_MUX; + gpio_init_struct.gpio_pins = GPIO_PINS_4; + gpio_init_struct.gpio_pull = GPIO_PULL_NONE; + gpio_init(GPIOB, &gpio_init_struct); + + gpio_pin_mux_config(GPIOB, GPIO_PINS_SOURCE4, GPIO_MUX_10); + + usart_init(USART5, band_rate, USART_DATA_8BITS, USART_STOP_1_BIT); + usart_transmitter_enable(USART5, TRUE); + usart_receiver_enable(USART5, TRUE); + usart_enable(USART5, TRUE); + nvic_irq_enable(USART5_IRQn, 2, 0); + usart_interrupt_enable(USART5, USART_IDLE_INT, TRUE); + + //TX_DMA_init + dma_reset(DMA1_CHANNEL1); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart5_tx_buf); + dma_init_struct.direction = DMA_DIR_MEMORY_TO_PERIPHERAL; + dma_init_struct.memory_base_addr = (uint32_t)&usart5_tx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART5->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL1, &dma_init_struct); + usart_dma_transmitter_enable(USART5, TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL1, DMAMUX_DMAREQ_ID_USART5_TX); + + //RX_DMA_init + dma_reset(DMA1_CHANNEL2); + dma_default_para_init(&dma_init_struct); + dma_init_struct.buffer_size = ARRAYNUM(usart5_rx_buf); + dma_init_struct.direction = DMA_DIR_PERIPHERAL_TO_MEMORY; + dma_init_struct.memory_base_addr = (uint32_t)&usart5_rx_buf; + dma_init_struct.memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct.memory_inc_enable = TRUE; + dma_init_struct.peripheral_base_addr = (uint32_t)&USART5->dt; + dma_init_struct.peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct.peripheral_inc_enable = FALSE; + dma_init_struct.priority = DMA_PRIORITY_MEDIUM; + dma_init_struct.loop_mode_enable = FALSE; + dma_init(DMA1_CHANNEL2, &dma_init_struct); + usart_dma_receiver_enable(USART5, TRUE); + dma_channel_enable(DMA1_CHANNEL2,TRUE); + dmamux_enable(DMA1, TRUE); + dmamux_init(DMA1MUX_CHANNEL2, DMAMUX_DMAREQ_ID_USART5_RX); +} + +//void USART5_IRQHandler(void) +//{ +// uint16_t recv_num = 0; +// uint16_t send_num = 0; +// +// //ж +// if((RESET != usart_interrupt_flag_get(USART5, USART_IDLEF_FLAG)) && +// (RESET != usart_flag_get(USART5, USART_IDLEF_FLAG))) +// { +// usart_flag_clear(USART5,USART_IDLEF_FLAG); +// recv_num = sizeof(usart5_rx_buf) - dma_data_number_get(DMA1_CHANNEL2); +// #if CIRCULAR_BUFFER_ENABLE +// CircBuf_Push(&USART5_RxC, usart5_rx_buf, recv_num); +// #endif +// dma_channel_enable(DMA1_CHANNEL2, FALSE); +// dma_data_number_set(DMA1_CHANNEL2,sizeof(usart5_rx_buf)); +// dma_channel_enable(DMA1_CHANNEL2, TRUE); +// } +// +// //ж +// if(RESET != usart_interrupt_flag_get(USART5,USART_TDC_FLAG)) +// { +// #if CIRCULAR_BUFFER_ENABLE +// send_num = CircBuf_Pop(&USART5_TxC,usart5_tx_buf,sizeof(usart5_tx_buf)); +// #endif +// if(send_num) +// { +// dma_channel_enable(DMA1_CHANNEL1,FALSE); +// dma_flag_clear(DMA1_FDT1_FLAG); +// dma_data_number_set(DMA1_CHANNEL1, send_num); +// usart_dma_transmitter_enable(USART5, TRUE); +// dma_channel_enable(DMA1_CHANNEL1,TRUE); +// } +// +// usart_interrupt_enable(USART5, USART_TDC_INT, FALSE); +// } +//} + +void usart5_dma_send_data(uint8_t *buffer,uint16_t len) +{ + dma_channel_enable(DMA1_CHANNEL1,FALSE); + dma_flag_clear(DMA1_FDT1_FLAG); + memcpy(usart5_tx_buf,buffer,len); + dma_data_number_set(DMA1_CHANNEL1, len); + usart_dma_transmitter_enable(USART5, TRUE); + dma_channel_enable(DMA1_CHANNEL1,TRUE); +} + +void uart5_init(uint32_t band_rate) +{ + uart5_config(band_rate); + #if CIRCULAR_BUFFER_ENABLE + CircBuf_Init(&USART5_RxC, usart5_RX_CBUFF, 1024); + CircBuf_Init(&USART5_TxC, usart5_TX_CBUFF, 1024); + #endif +} + + + + +//ѭ +#if CIRCULAR_BUFFER_ENABLE + +uint8_t usart_tx_push(USART_COM_ID_T com_id, uint8_t *data, uint16_t len) +{ + uint16_t ret = 0; + switch (com_id) + { + case USART_1_TR: + ret = CircBuf_Push(&USART1_TxC, data, len); + if(ret > 0) + { + usart_interrupt_enable(USART1,USART_TDC_INT,TRUE); + } + return ret; + case USART_2_TR: + ret = CircBuf_Push(&USART2_TxC, data, len); + if(ret > 0) + { + usart_interrupt_enable(USART2,USART_TDC_INT,TRUE); + } + return ret; + case USART_3_TR: + ret = CircBuf_Push(&USART3_TxC, data, len); + if(ret > 0) + { + usart_interrupt_enable(USART3,USART_TDC_INT,TRUE); + } + return ret; + case USART_4_TR: + ret = CircBuf_Push(&USART4_TxC, data, len); + if(ret > 0) + { + usart_interrupt_enable(USART4,USART_TDC_INT,TRUE); + } + return ret; + case USART_5_TR: + ret = CircBuf_Push(&USART5_TxC, data, len); + if(ret > 0) + { + usart_interrupt_enable(USART5,USART_TDC_INT,TRUE); + } + return ret; + default: + return 0; + } +} + + +uint8_t usart_rx_recv(USART_COM_ID_T com_id, uint8_t *data, uint16_t len) +{ + switch (com_id) + { + case USART_1_TR: + return CircBuf_Pop(&USART1_RxC, data, len); + case USART_2_TR: + return CircBuf_Pop(&USART2_RxC, data, len); + case USART_3_TR: + return CircBuf_Pop(&USART3_RxC, data, len); + case USART_4_TR: + return CircBuf_Pop(&USART4_RxC, data, len); + case USART_5_TR: + return CircBuf_Pop(&USART5_RxC, data, len); + default: + return 0; + } +} + +/** + * @brief + * @param[in] + * @return + */ +unsigned int usart_rx_read(USART_COM_ID_T com_id, + uint8_t *data, + uint16_t len) +{ + if(data != NULL) + { + switch (com_id) + { + case USART_1_TR: + return CircBuf_Read(&USART1_RxC, data, len); + case USART_2_TR: + return CircBuf_Read(&USART2_RxC, data, len); + case USART_3_TR: + return CircBuf_Read(&USART3_RxC, data, len); + case USART_4_TR: + return CircBuf_Read(&USART4_RxC, data, len); + case USART_5_TR: + return CircBuf_Read(&USART5_RxC, data, len); + default: + return 0; + } + + } else { + return 0; + } +} + +/** + * @brief + * @param[in] + * @return + */ +unsigned char usart_rx_at(USART_COM_ID_T com_id, uint8_t offset) +{ + switch (com_id) + { + case USART_1_TR: + return CircBuf_At(&USART1_RxC, offset); + case USART_2_TR: + return CircBuf_At(&USART2_RxC, offset); + case USART_3_TR: + return CircBuf_At(&USART3_RxC, offset); + case USART_4_TR: + return CircBuf_At(&USART4_RxC, offset); + case USART_5_TR: + return CircBuf_At(&USART5_RxC, offset); + default: + return 0; + } +} + + +/** + * @brief + * @param[in] + * @return + */ +void usart_rx_drop(USART_COM_ID_T com_id, uint8_t drop_lens) +{ + switch (com_id) + { + case USART_1_TR: + CircBuf_Drop(&USART1_RxC, drop_lens); + case USART_2_TR: + CircBuf_Drop(&USART2_RxC, drop_lens); + case USART_3_TR: + CircBuf_Drop(&USART3_RxC, drop_lens); + case USART_4_TR: + CircBuf_Drop(&USART4_RxC, drop_lens); + case USART_5_TR: + CircBuf_Drop(&USART5_RxC, drop_lens); + + default: + return; + } +} + +int usart_rx_get_rx_data_count(USART_COM_ID_T com_id) +{ + switch (com_id) + { + case USART_1_TR: + return CircBuf_GetUsedSize(&USART1_RxC); + case USART_2_TR: + return CircBuf_GetUsedSize(&USART2_RxC); + case USART_3_TR: + return CircBuf_GetUsedSize(&USART3_RxC); + case USART_4_TR: + return CircBuf_GetUsedSize(&USART4_RxC); + case USART_5_TR: + return CircBuf_GetUsedSize(&USART5_RxC); + default: + return 0; + } +} + +int usart_rx_probe(USART_COM_ID_T com_id) +{ + switch (com_id) + { + case USART_1_TR: + return CircBuf_IsEmpty(&USART1_RxC); + case USART_2_TR: + return CircBuf_IsEmpty(&USART2_RxC); + case USART_3_TR: + return CircBuf_IsEmpty(&USART3_RxC); + case USART_4_TR: + return CircBuf_IsEmpty(&USART4_RxC); + case USART_5_TR: + return CircBuf_IsEmpty(&USART5_RxC); + default: + return 1; + } +} + + + + +#endif + + + + + + + + + +int fputc(int ch, FILE *f) +{ + while(usart_flag_get(USART3, USART_TDBE_FLAG) == RESET); + usart_data_transmit(USART3, (uint16_t)ch); + while(usart_flag_get(USART3, USART_TDC_FLAG) == RESET); + return ch; +} diff --git a/Bsp/bsp_uart.h b/Bsp/bsp_uart.h new file mode 100644 index 0000000..be4b40a --- /dev/null +++ b/Bsp/bsp_uart.h @@ -0,0 +1,71 @@ +#ifndef __BSP_UART_H +#define __BSP_UART_H +#include "at32a423.h" +#include "circular_buffer.h" + +//1 +#define USART1_TX_BUF_LEN 2 //ͻС +#define USART1_RX_BUF_LEN 2 //յĻС +#define USART1_GPIOx GPIOA +#define BSP_USART1_TX_PIN GPIO_PINS_9 // 0TX +#define BSP_USART1_RX_PIN GPIO_PINS_10 // 0RX + +//2 +#define USART2_TX_BUF_LEN 2 //ͻС +#define USART2_RX_BUF_LEN 2 //յĻС +#define USART2_GPIOx GPIOB +#define BSP_USART2_TX_PIN GPIO_PIN_10 // 2TX +#define BSP_USART2_RX_PIN GPIO_PIN_5 // 2RXţGPIOC--5Ƚ + +//3 +#define USART3_TX_BUF_LEN 1024 //ͻС +#define USART3_RX_BUF_LEN 1024 //յĻС +#define USART3_GPIOx GPIOB +#define BSP_USART3_TX_PIN GPIO_PINS_10 // 0TX +#define BSP_USART3_RX_PIN GPIO_PINS_11 // 0RX + +//4 +#define USART4_TX_BUF_LEN 2 //ͻС +#define USART4_RX_BUF_LEN 2 //յĻС +#define USART4_GPIOx GPIOC +#define BSP_UART4_TX_PIN GPIO_PIN_12 // 0TX +#define BSP_UART4_RX_PIN GPIO_PIN_2 // 0RXţGPIOD--2 + +//5 +#define USART5_TX_BUF_LEN 2 //ͻС +#define USART5_RX_BUF_LEN 2 //յĻС +#define USART5_GPIOx GPIOB +#define BSP_USART5_TX_PIN GPIO_PINS_3 // 0TX +#define BSP_USART5_RX_PIN GPIO_PINS_4 // 0RX + + +#define CIRCULAR_BUFFER_ENABLE 1 //ѭڻ + +#if CIRCULAR_BUFFER_ENABLE +typedef enum { + USART_0_TR, + USART_1_TR, + USART_2_TR, + USART_3_TR, + USART_4_TR, + USART_5_TR, +} USART_COM_ID_T; +uint8_t usart_tx_push(USART_COM_ID_T com_id, uint8_t *data, uint16_t len); +uint8_t usart_rx_recv(USART_COM_ID_T com_id, uint8_t *data, uint16_t len); +unsigned int usart_rx_read(USART_COM_ID_T com_id,uint8_t *data,uint16_t len); +unsigned char usart_rx_at(USART_COM_ID_T com_id, uint8_t offset); +void usart_rx_drop(USART_COM_ID_T com_id, uint8_t drop_lens); +int usart_rx_get_rx_data_count(USART_COM_ID_T com_id); +int usart_rx_probe(USART_COM_ID_T com_id); +#endif + + +#define ARRAYNUM(arr_name) (uint32_t)(sizeof(arr_name) / sizeof(*(arr_name))) + +void uart1_init(uint32_t band_rate); +void uart3_init(uint32_t band_rate); +void uart5_init(uint32_t band_rate); + + + +#endif diff --git a/Bsp/cal_creep/lib_cal_creep_resistance.c b/Bsp/cal_creep/lib_cal_creep_resistance.c new file mode 100644 index 0000000..564cab8 --- /dev/null +++ b/Bsp/cal_creep/lib_cal_creep_resistance.c @@ -0,0 +1,148 @@ +#include "lib_cal_creep_resistance.h" + +#define CREEP_VALUE 1 +#define CREEP_INTERVAL_FRAME 5 + +uint8_t g_creep_value = 0; +uint8_t g_creep_interval_frame = 0; + + +static cal_creep_resistance_t creep_strength_value; + +cal_creep_resistance_t * svc_creep_strength_value_get(void) +{ + return &creep_strength_value; +} + + +void cal_creep_resistance_init(uint8_t creep_strength, uint8_t creep_level) +{ + g_creep_value = creep_strength; + g_creep_interval_frame = creep_level; +} + +void cal_creep_resistance(cal_creep_resistance_t *cfg) +{ + static uint64_t frame_count = 0; + uint16_t count = cfg->x_max * cfg->y_max; + int16_t matrix_deviation = 0; + frame_count ++; + + do{ + count--; + + if (cfg->matrix_real[count] < 2) + { + cfg->matrix_display[count] = 0; + cfg->matrix_creep[count] = 0; + continue; + } + + if (!(frame_count % g_creep_interval_frame)) + { + matrix_deviation = (cfg->matrix_real[count] > cfg->matrix_stab[count]) ? + (cfg->matrix_real[count] - cfg->matrix_stab[count]) : (cfg->matrix_stab[count] - cfg->matrix_real[count]); + + if (matrix_deviation > g_creep_value) + { + + } + else + { + matrix_deviation = (cfg->matrix_real[count] > cfg->matrix_stab[count]) ? matrix_deviation : -matrix_deviation; + cfg->matrix_creep[count] += matrix_deviation; + } + + cfg->matrix_stab[count] = cfg->matrix_real[count]; + } + + cfg->matrix_display[count] = (cfg->matrix_real[count] > cfg->matrix_creep[count]) ? + (cfg->matrix_real[count] - cfg->matrix_creep[count]) : cfg->matrix_real[count]; + + if (cfg->matrix_real[count] < cfg->matrix_creep[count]) + { + cfg->matrix_creep[count] = 0; + } + + } while(count); + +} + +/* Ĺڣԭ cal_creep_resistance_t */ +void cal_creep_resistance_4tile(const cal_creep_resistance_t *cfg) +{ + /* ԭ */ + uint8_t x_max = cfg->x_max; /* 62 */ + uint8_t y_max = cfg->y_max; /* 68 */ + uint8_t *real = cfg->matrix_real; + uint8_t *stab = cfg->matrix_stab; + uint8_t *creep = cfg->matrix_creep; + uint8_t *disp = cfg->matrix_display; + + /* ̬Ŀ鹲ͬһ֡ţ̰߳ȫֻ */ + static uint64_t frame_count = 0; +#pragma omp atomic update + frame_count++; /* ԭ+1ֹ̬ */ + + /* Ŀ */ + uint8_t w2 = x_max / 2; /* 31 */ + uint8_t h2 = y_max / 2; /* 34 */ + +#pragma omp parallel for collapse(2) schedule(static) if(1) + for (int by = 0; by < 2; ++by) + { + for (int bx = 0; bx < 2; ++bx) + { + /* ߼ */ + uint8_t x0 = bx * w2; + uint8_t y0 = by * h2; + uint8_t x1 = (bx == 1) ? x_max : x0 + w2; + uint8_t y1 = (by == 1) ? y_max : y0 + h2; + uint8_t bw = x1 - x0; + uint8_t bh = y1 - y0; + + /* ָ루 */ + uint8_t *b_real = real + y0 * x_max + x0; + uint8_t *b_stab = stab + y0 * x_max + x0; + uint8_t *b_creep = creep + y0 * x_max + x0; + uint8_t *b_disp = disp + y0 * x_max + x0; + + /* ԭ㷨 */ + for (uint8_t yy = 0; yy < bh; ++yy) + { + for (uint8_t xx = 0; xx < bw; ++xx) + { + uint16_t idx = yy * x_max + xx; /* ȫֿ */ + + uint8_t r = b_real[idx]; + if (r < 2) + { + b_disp[idx] = 0; + b_creep[idx] = 0; + continue; + } + + /* UPDATE ׶Σֻڼ֡ */ + if ((frame_count % g_creep_interval_frame) == 0) + { + int16_t s = b_stab[idx]; + int16_t dev = (r > s) ? (r - s) : (s - r); + if (dev <= g_creep_value) + { + int16_t c = b_creep[idx]; + c += (r > s) ? dev : -dev; + b_creep[idx] = (uint8_t)(c < 0 ? 0 : c); + } + b_stab[idx] = r; + } + + /* DISPLAY ׶ */ + uint8_t c = b_creep[idx]; + b_disp[idx] = (r > c) ? r - c : 0; + if (r < c) b_creep[idx] = 0; + } + } + } + } +} + diff --git a/Bsp/cal_creep/lib_cal_creep_resistance.h b/Bsp/cal_creep/lib_cal_creep_resistance.h new file mode 100644 index 0000000..c8f7245 --- /dev/null +++ b/Bsp/cal_creep/lib_cal_creep_resistance.h @@ -0,0 +1,25 @@ +#ifndef __LIB_CAL_CREEP_RESISTANCE_H +#define __LIB_CAL_CREEP_RESISTANCE_H +#include "stdint.h" + +typedef struct { + uint8_t x_max; //原始阵列横轴点位数量 + uint8_t y_max; //原始阵列纵轴点位数量 + + uint8_t *matrix_real; //原始输入阵列 + uint8_t *matrix_stab; //算法缓冲区，需要预留与原始阵列一样大的空间 + uint8_t *matrix_creep; //算法缓冲区，需要预留与原始阵列一样大的空间 + + uint8_t *matrix_display; //输出阵列，输出消除蠕变后的阵列 + +} cal_creep_resistance_t; + + + +void cal_creep_resistance_init(uint8_t creep_strength, uint8_t creep_level); +cal_creep_resistance_t * svc_creep_strength_value_get(void); +void cal_creep_resistance(cal_creep_resistance_t *cfg); + +void cal_creep_resistance_4tile(const cal_creep_resistance_t *cfg); + +#endif diff --git a/Bsp/get_json.c b/Bsp/get_json.c new file mode 100644 index 0000000..974f196 --- /dev/null +++ b/Bsp/get_json.c @@ -0,0 +1,54 @@ +#include "get_json.h" +#include "cJSON.h" +#include "bsp_uart.h" +#include "string.h" + +uint8_t uart_rx_buffer[1024]; +json_data_struct json_data; + +int get_Json_data(void) +{ + int result = -1; + uint16_t uart_get_num = usart_rx_get_rx_data_count(USART_3_TR); + uint16_t arry_size = 0; + + if(uart_get_num > 0) + { + usart_rx_recv(USART_3_TR, uart_rx_buffer, uart_get_num); + cJSON *cjson = NULL,*params = NULL,*params_math = NULL; + cjson = cJSON_Parse((const char*)uart_rx_buffer); + + memset(uart_rx_buffer,0x00,sizeof(uart_rx_buffer)); + if(cjson != NULL) + { + params = cJSON_GetObjectItem(cjson,"params"); + params_math = cJSON_GetObjectItem(params,"math"); + arry_size = cJSON_GetArraySize(params_math); + if(arry_size >= 2) + { + json_data.min_trigger_res_value = cJSON_GetArrayItem(params_math, 0)->valueint; + json_data.max_trigger_res_value = cJSON_GetArrayItem(params_math, 1)->valueint; + result = 1; + } + } + cJSON_Delete(cjson); + + } + else + { + + } + + return result; +} + +uint16_t get_json_min_trigger_res_value(void) +{ + return json_data.min_trigger_res_value; +} + +uint16_t get_json_max_trigger_res_value(void) +{ + return json_data.max_trigger_res_value; +} + diff --git a/Bsp/get_json.h b/Bsp/get_json.h new file mode 100644 index 0000000..5c05c24 --- /dev/null +++ b/Bsp/get_json.h @@ -0,0 +1,15 @@ +#ifndef _GET_JSON_H +#define _GET_JSON_H +#include "at32a423.h" + +typedef struct +{ + uint16_t min_trigger_res_value; + uint16_t max_trigger_res_value; +}json_data_struct; + +int get_Json_data(void); +uint16_t get_json_min_trigger_res_value(void); +uint16_t get_json_max_trigger_res_value(void); +#endif + diff --git a/Bsp/scan.c b/Bsp/scan.c new file mode 100644 index 0000000..b93f02c --- /dev/null +++ b/Bsp/scan.c @@ -0,0 +1,92 @@ +#include "scan.h" +#include "bsp_rs2251.h" +#include "bsp_74hc595.h" +#include "bsp_adc.h" +#include "resi_math_lib.h" +#include "string.h" + +#define ADC_DELAY_TIME (10 * 220) //9 ns * 120 + + +void Hc4051Delay(uint32_t num) +{ + while(num --); +} + + + +/* + ܣɨȡ + 룺 + أ32*64 + */ +void ReadAdcValue(adc_value_frame_struct *adc_raw_value,RESISTACE_NAME resistace_name) +{ + uint8_t AX_rank[] = {6,4,2,1,0,3,5,7}; + //uint8_t AX_rank[] = {7,5,3,0,1,2,4,6}; + + if(resistace_name == RAW_RESISTACE) + { + for(uint8_t ax = 0; ax < 8; ++ax) + { + Choose_AX_Channel(AX_rank[ax]); + Hc4051Delay(ADC_DELAY_TIME); + + adc_raw_value->sensorB_raw_value[ax] = GetAdcValue(1); + if(ax < 4) + { + adc_raw_value->sensorB_raw_value[ax + 8] = GetAdcValue(0); + } + } + + } + else + { + for(uint8_t ax = 0; ax < 8; ++ax) + { + Choose_AX_Channel(AX_rank[ax]); + Hc4051Delay(ADC_DELAY_TIME); + + adc_raw_value->sensorB_ref_value[ax] = GetAdcValue(1); + + if(ax < 4) + adc_raw_value->sensorB_ref_value[ax + 8] = GetAdcValue(0); + + } + } + + +} + + +void scan_y(adc_value_frame_struct *adc_raw_value,uint8_t count_y) +{ +static uint8_t AY_rank[] = {7,6,5,4,3,2,1,0,15,14,13,12};//Ҫõ +static math_resi_cal_t math_resi_cal = {0}; + + REF_OUT(1);//ɨ + ic_74hc595_clean_0(16); + ReadAdcValue(adc_raw_value, REFER_RESISTACE); + + REF_OUT(0); + ic_74hc595_io_write_1(AY_rank[count_y]); + ReadAdcValue(adc_raw_value, RAW_RESISTACE); + + math_resi_cal.sensor_adc_value = adc_raw_value->sensorB_raw_value; + math_resi_cal.resi_adc_value = adc_raw_value->sensorB_ref_value; + math_resi_cal.math_number = AX_NUM; + + + math_resi_cali_once(&math_resi_cal, + adc_raw_value->sensorB_resi_output, + AX_NUM, + SCAN_LOW_LEVEL); + + math_display_resi(adc_raw_value->sensorB_resi_output, + adc_raw_value->sensorB_display_output, + AX_NUM, + RESI_BACKWARDS); + + memcpy(adc_raw_value->sensorB_voltage[count_y],adc_raw_value->sensorB_display_output,AX_NUM); +} + diff --git a/Bsp/scan.h b/Bsp/scan.h new file mode 100644 index 0000000..bd38bfe --- /dev/null +++ b/Bsp/scan.h @@ -0,0 +1,32 @@ +#ifndef __SCAN_H +#define __SCAN_H +#include "at32a423.h" +#include "main.h" +/*32x64 Data_Array*/ +typedef struct +{ + uint16_t sensorB_raw_value[AX_NUM]; + uint16_t sensorB_ref_value[AX_NUM]; + uint16_t sensorB_resi_output[AX_NUM]; + uint8_t sensorB_display_output[AX_NUM]; + uint8_t sensorB_voltage[AX_NUM][AY_NUM]; +}adc_value_frame_struct; + +typedef enum SENSOR_NAME +{ + SENSOR_A, + SENSOR_B +} SENSOR_NAME_T; + +typedef enum +{ + REFER_RESISTACE, + RAW_RESISTACE +}RESISTACE_NAME; + + + +void scan_y(adc_value_frame_struct *adc_raw_value,uint8_t count_y); +void align_init(void); + +#endif diff --git a/Common/at32a423_clock.c b/Common/at32a423_clock.c new file mode 100644 index 0000000..ede9be7 --- /dev/null +++ b/Common/at32a423_clock.c @@ -0,0 +1,126 @@ +/** + ************************************************************************** + * @file at32a423_clock.c + * @brief system clock config program + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* includes ------------------------------------------------------------------*/ +#include "at32a423_clock.h" + +/** @addtogroup AT32A423_periph_template + * @{ + */ + +/** @addtogroup 423_System_clock_configuration System_clock_configuration + * @{ + */ + +/** + * @brief system clock config program + * @note the system clock is configured as follow: + * system clock (sclk) = (hext * pll_ns)/(pll_ms * pll_fr) / 2 + * system clock source = HEXT_VALUE + * - lick = on + * - lext = off + * - hick = on + * - hext = off + * - hext = HEXT_VALUE + * - sclk = 64000000 + * - ahbdiv = 1 + * - ahbclk = 64000000 + * - apb1div = 2 + * - apb1clk = 32000000 + * - apb2div = 1 + * - apb2clk = 64000000 + * - pll_ns = 64 + * - pll_ms = 1 + * - pll_fr = 4 + * @param none + * @retval none + */ +void system_clock_config(void) +{ + /* reset crm */ + crm_reset(); + + /* config flash psr register */ + flash_psr_set(FLASH_WAIT_CYCLE_3); + + /* enable pwc periph clock */ + crm_periph_clock_enable(CRM_PWC_PERIPH_CLOCK, TRUE); + + /* config ldo voltage */ + pwc_ldo_output_voltage_set(PWC_LDO_OUTPUT_1V2); + + /* enable hext */ + crm_clock_source_enable(CRM_CLOCK_SOURCE_HEXT, TRUE); + + /* wait till hext is ready */ + while(crm_hext_stable_wait() == ERROR) + { + } + + /* config pll clock resource + common frequency config list: pll source selected hick or hext(8mhz) + _____________________________________________________________________________ + | | | | | | | | | + | sysclk | 150 | 144 | 120 | 108 | 96 | 72 | 36 | + |________|_________|_________|_________|_________|_________|_________________| + | | | | | | | | | + |pll_ns | 75 | 72 | 120 | 108 | 96 | 72 | 72 | + | | | | | | | | | + |pll_ms | 1 | 1 | 1 | 1 | 1 | 1 | 1 | + | | | | | | | | | + |pll_fr | FR_2 | FR_2 | FR_4 | FR_4 | FR_4 | FR_4 | FR_8 | + |________|_________|_________|_________|_________|_________|________|________| + + if pll clock source selects hext with other frequency values, or configure pll to other + frequency values, please use the at32 new clock configuration tool for configuration. */ + crm_pll_config(CRM_PLL_SOURCE_HEXT, 75, 1, CRM_PLL_FR_2); + + /* enable pll */ + crm_clock_source_enable(CRM_CLOCK_SOURCE_PLL, TRUE); + + /* wait till pll is ready */ + while(crm_flag_get(CRM_PLL_STABLE_FLAG) != SET) + { + } + + /* config ahbclk */ + crm_ahb_div_set(CRM_AHB_DIV_1); + + /* config apb2clk, the maximum frequency of APB2 clock is 150 MHz */ + crm_apb2_div_set(CRM_APB2_DIV_1); + + /* config apb1clk, the maximum frequency of APB1 clock is 120 MHz */ + crm_apb1_div_set(CRM_APB1_DIV_1); + + /* select pll as system clock source */ + crm_sysclk_switch(CRM_SCLK_PLL); + + /* wait till pll is used as system clock source */ + while(crm_sysclk_switch_status_get() != CRM_SCLK_PLL) + { + } + + /* update system_core_clock global variable */ + system_core_clock_update(); +} diff --git a/Common/at32a423_clock.h b/Common/at32a423_clock.h new file mode 100644 index 0000000..ce89631 --- /dev/null +++ b/Common/at32a423_clock.h @@ -0,0 +1,44 @@ +/** + ************************************************************************** + * @file at32a423_clock.h + * @brief header file of clock program + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CLOCK_H +#define __AT32A423_CLOCK_H + +#ifdef __cplusplus +extern "C" { +#endif + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/* exported functions ------------------------------------------------------- */ +void system_clock_config(void); + +#ifdef __cplusplus +} +#endif + +#endif + diff --git a/Common/at32a423_conf.h b/Common/at32a423_conf.h new file mode 100644 index 0000000..b035cd6 --- /dev/null +++ b/Common/at32a423_conf.h @@ -0,0 +1,170 @@ +/** + ************************************************************************** + * @file at32a423_conf.h + * @brief at32a423 config header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CONF_H +#define __AT32A423_CONF_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/** @addtogroup AT32A423_periph_template + * @{ + */ + +/** @addtogroup 423_Library_configuration Library_configuration + * @{ + */ + +/** + * @brief in the following line adjust the value of high speed external crystal (hext) + * used in your application + * + * tip: to avoid modifying this file each time you need to use different hext, you + * can define the hext value in your toolchain compiler preprocessor. + * + */ +#if !defined HEXT_VALUE +#define HEXT_VALUE ((uint32_t)8000000) /*!< value of the high speed external crystal in hz */ +#endif + +/** + * @brief in the following line adjust the high speed external crystal (hext) startup + * timeout value + */ +#define HEXT_STARTUP_TIMEOUT ((uint16_t)0x3000) /*!< time out for hext start up */ +#define HICK_VALUE ((uint32_t)8000000) /*!< value of the high speed internal clock in hz */ +#define LEXT_VALUE ((uint32_t)32768) /*!< value of the low speed external clock in hz */ + +/* module define -------------------------------------------------------------*/ +#define CRM_MODULE_ENABLED +#define TMR_MODULE_ENABLED +#define ERTC_MODULE_ENABLED +#define GPIO_MODULE_ENABLED +#define I2C_MODULE_ENABLED +#define USART_MODULE_ENABLED +#define PWC_MODULE_ENABLED +#define CAN_MODULE_ENABLED +#define ADC_MODULE_ENABLED +#define DAC_MODULE_ENABLED +#define SPI_MODULE_ENABLED +#define DMA_MODULE_ENABLED +#define DEBUG_MODULE_ENABLED +#define FLASH_MODULE_ENABLED +#define CRC_MODULE_ENABLED +#define WWDT_MODULE_ENABLED +#define WDT_MODULE_ENABLED +#define EXINT_MODULE_ENABLED +#define XMC_MODULE_ENABLED +#define USB_MODULE_ENABLED +#define ACC_MODULE_ENABLED +#define MISC_MODULE_ENABLED +#define SCFG_MODULE_ENABLED + +/* includes ------------------------------------------------------------------*/ +#ifdef CRM_MODULE_ENABLED +#include "at32a423_crm.h" +#endif +#ifdef TMR_MODULE_ENABLED +#include "at32a423_tmr.h" +#endif +#ifdef ERTC_MODULE_ENABLED +#include "at32a423_ertc.h" +#endif +#ifdef GPIO_MODULE_ENABLED +#include "at32a423_gpio.h" +#endif +#ifdef I2C_MODULE_ENABLED +#include "at32a423_i2c.h" +#endif +#ifdef USART_MODULE_ENABLED +#include "at32a423_usart.h" +#endif +#ifdef PWC_MODULE_ENABLED +#include "at32a423_pwc.h" +#endif +#ifdef CAN_MODULE_ENABLED +#include "at32a423_can.h" +#endif +#ifdef ADC_MODULE_ENABLED +#include "at32a423_adc.h" +#endif +#ifdef DAC_MODULE_ENABLED +#include "at32a423_dac.h" +#endif +#ifdef SPI_MODULE_ENABLED +#include "at32a423_spi.h" +#endif +#ifdef DMA_MODULE_ENABLED +#include "at32a423_dma.h" +#endif +#ifdef DEBUG_MODULE_ENABLED +#include "at32a423_debug.h" +#endif +#ifdef FLASH_MODULE_ENABLED +#include "at32a423_flash.h" +#endif +#ifdef CRC_MODULE_ENABLED +#include "at32a423_crc.h" +#endif +#ifdef WWDT_MODULE_ENABLED +#include "at32a423_wwdt.h" +#endif +#ifdef WDT_MODULE_ENABLED +#include "at32a423_wdt.h" +#endif +#ifdef EXINT_MODULE_ENABLED +#include "at32a423_exint.h" +#endif +#ifdef XMC_MODULE_ENABLED +#include "at32a423_xmc.h" +#endif +#ifdef ACC_MODULE_ENABLED +#include "at32a423_acc.h" +#endif +#ifdef MISC_MODULE_ENABLED +#include "at32a423_misc.h" +#endif +#ifdef SCFG_MODULE_ENABLED +#include "at32a423_scfg.h" +#endif +#ifdef USB_MODULE_ENABLED +#include "at32a423_usb.h" +#endif + +/** + * @} + */ + + /** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Common/at32a423_int.c b/Common/at32a423_int.c new file mode 100644 index 0000000..4ca87ab --- /dev/null +++ b/Common/at32a423_int.c @@ -0,0 +1,146 @@ +/** + ************************************************************************** + * @file at32a423_int.c + * @brief main interrupt service routines. + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* includes ------------------------------------------------------------------*/ +#include "at32a423_int.h" +#include "mx_spi.h" +#include "sys.h" + +extern __IO uint64_t g_system_tick; + +/** @addtogroup AT32A423_periph_template + * @{ + */ + +/** @addtogroup 423_LED_toggle + * @{ + */ + +/** + * @brief this function handles nmi exception. + * @param none + * @retval none + */ +void NMI_Handler(void) +{ +} + +/** + * @brief this function handles hard fault exception. + * @param none + * @retval none + */ +void HardFault_Handler(void) +{ + /* go to infinite loop when hard fault exception occurs */ + while(1) + { + } +} + +/** + * @brief this function handles memory manage exception. + * @param none + * @retval none + */ +void MemManage_Handler(void) +{ + /* go to infinite loop when memory manage exception occurs */ + while(1) + { + } +} + +/** + * @brief this function handles bus fault exception. + * @param none + * @retval none + */ +void BusFault_Handler(void) +{ + /* go to infinite loop when bus fault exception occurs */ + while(1) + { + } +} + +/** + * @brief this function handles usage fault exception. + * @param none + * @retval none + */ +void UsageFault_Handler(void) +{ + /* go to infinite loop when usage fault exception occurs */ + while(1) + { + } +} + +/** + * @brief this function handles svcall exception. + * @param none + * @retval none + */ +void SVC_Handler(void) +{ +} + +/** + * @brief this function handles debug monitor exception. + * @param none + * @retval none + */ +void DebugMon_Handler(void) +{ +} + +/** + * @brief this function handles pendsv_handler exception. + * @param none + * @retval none + */ +void PendSV_Handler(void) +{ +} + +/** + * @brief this function handles systick handler. + * @param none + * @retval none + */ +void SysTick_Handler(void) +{ + //System_TaskUpdate(); + g_system_tick ++; + +} + +/** + * @} + */ + +/** + * @} + */ diff --git a/Common/at32a423_int.h b/Common/at32a423_int.h new file mode 100644 index 0000000..2cb28a4 --- /dev/null +++ b/Common/at32a423_int.h @@ -0,0 +1,56 @@ +/** + ************************************************************************** + * @file at32a423_int.h + * @brief header file of main interrupt service routines. + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_INT_H +#define __AT32A423_INT_H + +#ifdef __cplusplus +extern "C" { +#endif + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/* exported types ------------------------------------------------------------*/ +/* exported constants --------------------------------------------------------*/ +/* exported macro ------------------------------------------------------------*/ +/* exported functions ------------------------------------------------------- */ + +void NMI_Handler(void); +void HardFault_Handler(void); +void MemManage_Handler(void); +void BusFault_Handler(void); +void UsageFault_Handler(void); +void SVC_Handler(void); +void DebugMon_Handler(void); +void PendSV_Handler(void); +void SysTick_Handler(void); + +#ifdef __cplusplus +} +#endif + +#endif + diff --git a/Common/sysconfig.c b/Common/sysconfig.c new file mode 100644 index 0000000..6fe8384 --- /dev/null +++ b/Common/sysconfig.c @@ -0,0 +1,111 @@ +#include "sysconfig.h" +#include "at32a423.h" +#include "bsp_flash.h" +#include "app_get_json.h" +#include "string.h" + + +flash_para_struct g_flash_para; +json_data_struct g_json_data; +sys_config_struct g_sys_config; +sys_staus_struct g_sys_staus; + +const sys_config_struct default_config = +{ + .output_mode = 1, + .output_ax = 12, + .output_ay = 12, + .min_trigger_res_value = 3000, + .max_trigger_res_value = 40000, + .div_trigger_res =2700 +}; + +int save_sys_config(sys_config_struct *sys_config) +{ + g_flash_para.output_mode = sys_config->output_mode; + g_flash_para.output_ax = sys_config->output_ax; + g_flash_para.output_ay = sys_config->output_ay; + g_flash_para.min_trigger_res_value = sys_config->min_trigger_res_value; + g_flash_para.max_trigger_res_value = sys_config->max_trigger_res_value; + g_flash_para.div_trigger_res = sys_config->div_trigger_res; + return save_config_params(&g_flash_para); +} + +void init_sys_config(sys_config_struct *sys_config) +{ + //save_sys_config(&default_config); + if(load_config_params(&g_flash_para) != 1) + { + memcpy((uint8_t *)sys_config,(uint8_t *)&default_config,sizeof(sys_config_struct)); + save_sys_config(sys_config); + return ; + } + + + + + if(g_flash_para.min_trigger_res_value == 0xffff) + { + sys_config->min_trigger_res_value = default_config.min_trigger_res_value; + } + else + { + sys_config->min_trigger_res_value = g_flash_para.min_trigger_res_value; + } + + if(g_flash_para.max_trigger_res_value == 0xffff) + { + sys_config->max_trigger_res_value = default_config.max_trigger_res_value; + } + else + { + sys_config->max_trigger_res_value = g_flash_para.max_trigger_res_value; + } + if(g_flash_para.div_trigger_res == 0xffff) + { + sys_config->div_trigger_res = default_config.div_trigger_res; + } + else + { + sys_config->div_trigger_res = g_flash_para.div_trigger_res; + } + + + + if(g_flash_para.output_mode > 1) + { + sys_config->output_mode = default_config.output_mode; + } + else + { + sys_config->output_mode = g_flash_para.output_mode; + } +} + +//ץȡjsonϢɹڴ +int cjson_get_sys_config(sys_config_struct *sys_config) +{ + int result; + + g_json_data.output_mode = sys_config->output_mode; + g_json_data.output_ax = sys_config->output_ax; + g_json_data.output_ay = sys_config->output_ay; + g_json_data.min_trigger_res_value = sys_config->min_trigger_res_value; + g_json_data.max_trigger_res_value = sys_config->max_trigger_res_value; + g_json_data.div_trigger_res = sys_config->div_trigger_res; + + result = get_Json_data(&g_json_data); + + if(result == 1){ + memcpy(sys_config, &g_json_data, sizeof(sys_config_struct)); + g_flash_para.output_mode=g_json_data.output_mode; + g_flash_para.output_ax=g_json_data.output_ax; + g_flash_para.output_ay=g_json_data.output_ay; + g_flash_para.min_trigger_res_value=g_json_data.min_trigger_res_value; + g_flash_para.max_trigger_res_value=g_json_data.max_trigger_res_value; + g_flash_para.div_trigger_res=g_json_data.div_trigger_res; + load_config_params(&g_flash_para); + } + return result; +} + diff --git a/Common/sysconfig.h b/Common/sysconfig.h new file mode 100644 index 0000000..9325df2 --- /dev/null +++ b/Common/sysconfig.h @@ -0,0 +1,38 @@ +#ifndef _SYSCONFIG_H +#define _SYSCONFIG_H +#include "stdint.h" +#include "at32a423.h" +#include "bsp_flash.h" +#include "app_get_json.h" +#include "string.h" + +typedef struct +{ + uint16_t output_mode; + uint16_t output_ax; + uint16_t output_ay; + uint16_t min_trigger_res_value; + uint16_t max_trigger_res_value; + uint16_t div_trigger_res; +}sys_config_struct; + +typedef struct +{ + uint8_t lying_staus; + int row; + int col; +}sys_staus_struct; + +extern sys_config_struct g_sys_config; +extern sys_staus_struct g_sys_staus; +extern flash_para_struct g_flash_para; +extern const sys_config_struct default_config; + +void init_sys_config(sys_config_struct *sys_config); +int save_sys_config(sys_config_struct *sys_config); +int cjson_get_sys_config(sys_config_struct *sys_config); + + + +#endif + diff --git a/Common/systick.c b/Common/systick.c new file mode 100644 index 0000000..a91fa9e --- /dev/null +++ b/Common/systick.c @@ -0,0 +1,58 @@ +#include "systick.h" + + +__IO uint64_t g_system_tick = 0; + +void systick_config(void) +{ + /* setup systick timer for 1000Hz interrupts */ + if(SysTick_Config( system_core_clock / 1000U)) { + /* capture error */ + while(1) { + } + } + /* configure the systick handler priority */ + NVIC_SetPriority(SysTick_IRQn, 0x00U); +} + + + +uint64_t get_system_tick(void) +{ + return g_system_tick; +} + +void delay_us(uint32_t _us) +{ + uint32_t ticks; + uint32_t told, tnow, tcnt = 0; + + // Ҫʱ = ӳ΢ * ÿ΢ʱ + ticks = _us * (SystemCoreClock / 1000000); + + // ȡǰSysTickֵ + told = SysTick->VAL; + + while (1) + { + // ظˢ»ȡǰSysTickֵ + tnow = SysTick->VAL; + + if (tnow != told) + { + if (tnow < told) + tcnt += told - tnow; + else + tcnt += SysTick->LOAD - tnow + told; + + told = tnow; + + // ﵽҪʱ˳ѭ + if (tcnt >= ticks) + break; + } + } +} + +void delay_ms(uint32_t _ms) { delay_us(_ms * 500); } + diff --git a/Common/systick.h b/Common/systick.h new file mode 100644 index 0000000..13b90ae --- /dev/null +++ b/Common/systick.h @@ -0,0 +1,10 @@ +#ifndef __SYSTICK_H +#define __SYSTICK_H +#include "at32a423.h" + +void systick_config(void); +void delay_us(uint32_t _us); +void delay_ms(uint32_t _ms); +uint64_t get_system_tick(void); +#endif + diff --git a/Firmware/cmsis/cm4/core_support/arm_common_tables.h b/Firmware/cmsis/cm4/core_support/arm_common_tables.h new file mode 100644 index 0000000..721b18d --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_common_tables.h @@ -0,0 +1,517 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.h + * Description: Extern declaration for common tables + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_COMMON_TABLES_H +#define _ARM_COMMON_TABLES_H + +#include "arm_math.h" + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + /* Double Precision Float CFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024) + extern const uint16_t armBitRevTable[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16) + extern const uint64_t twiddleCoefF64_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32) + extern const uint64_t twiddleCoefF64_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64) + extern const uint64_t twiddleCoefF64_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128) + extern const uint64_t twiddleCoefF64_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256) + extern const uint64_t twiddleCoefF64_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512) + extern const uint64_t twiddleCoefF64_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024) + extern const uint64_t twiddleCoefF64_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048) + extern const uint64_t twiddleCoefF64_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096) + extern const uint64_t twiddleCoefF64_4096[8192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) + extern const float32_t twiddleCoef_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + extern const float32_t twiddleCoef_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) + extern const float32_t twiddleCoef_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + extern const float32_t twiddleCoef_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) + extern const float32_t twiddleCoef_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + extern const float32_t twiddleCoef_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) + extern const float32_t twiddleCoef_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + extern const float32_t twiddleCoef_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) + extern const float32_t twiddleCoef_4096[8192]; + #define twiddleCoef twiddleCoef_4096 + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) + extern const q31_t twiddleCoef_16_q31[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + extern const q31_t twiddleCoef_32_q31[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) + extern const q31_t twiddleCoef_64_q31[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + extern const q31_t twiddleCoef_128_q31[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) + extern const q31_t twiddleCoef_256_q31[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + extern const q31_t twiddleCoef_512_q31[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) + extern const q31_t twiddleCoef_1024_q31[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + extern const q31_t twiddleCoef_2048_q31[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) + extern const q31_t twiddleCoef_4096_q31[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) + extern const q15_t twiddleCoef_16_q15[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + extern const q15_t twiddleCoef_32_q15[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) + extern const q15_t twiddleCoef_64_q15[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + extern const q15_t twiddleCoef_128_q15[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) + extern const q15_t twiddleCoef_256_q15[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + extern const q15_t twiddleCoef_512_q15[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) + extern const q15_t twiddleCoef_1024_q15[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + extern const q15_t twiddleCoef_2048_q15[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) + extern const q15_t twiddleCoef_4096_q15[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + /* Double Precision Float RFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) + extern const uint64_t twiddleCoefF64_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) + extern const uint64_t twiddleCoefF64_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) + extern const uint64_t twiddleCoefF64_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) + extern const uint64_t twiddleCoefF64_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) + extern const uint64_t twiddleCoefF64_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) + extern const uint64_t twiddleCoefF64_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) + extern const uint64_t twiddleCoefF64_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) + extern const uint64_t twiddleCoefF64_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) + extern const float32_t twiddleCoef_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) + extern const float32_t twiddleCoef_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) + extern const float32_t twiddleCoef_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) + extern const float32_t twiddleCoef_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) + extern const float32_t twiddleCoef_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) + extern const float32_t twiddleCoef_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048) + extern const float32_t twiddleCoef_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096) + extern const float32_t twiddleCoef_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* Double precision floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16) + #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32) + #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64) + #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128) + #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256) + #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512) + #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024) + #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048) + #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096) + #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + /* floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16) + #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20) + extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32) + #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48) + extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64) + #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128) + #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208) + extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256) + #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440) + extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512) + #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448) + extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024) + #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800) + extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048) + #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808) + extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096) + #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* fixed-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32) + extern const float32_t realCoefA[8192]; + extern const float32_t realCoefB[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31) + extern const q31_t realCoefAQ31[8192]; + extern const q31_t realCoefBQ31[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15) + extern const q15_t realCoefAQ15[8192]; + extern const q15_t realCoefBQ15[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + extern const float32_t Weights_128[256]; + extern const float32_t cos_factors_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512) + extern const float32_t Weights_512[1024]; + extern const float32_t cos_factors_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048) + extern const float32_t Weights_2048[4096]; + extern const float32_t cos_factors_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192) + extern const float32_t Weights_8192[16384]; + extern const float32_t cos_factors_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + extern const q15_t WeightsQ15_128[256]; + extern const q15_t cos_factorsQ15_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + extern const q15_t WeightsQ15_512[1024]; + extern const q15_t cos_factorsQ15_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + extern const q15_t WeightsQ15_2048[4096]; + extern const q15_t cos_factorsQ15_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + extern const q15_t WeightsQ15_8192[16384]; + extern const q15_t cos_factorsQ15_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + extern const q31_t WeightsQ31_128[256]; + extern const q31_t cos_factorsQ31_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + extern const q31_t WeightsQ31_512[1024]; + extern const q31_t cos_factorsQ31_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + extern const q31_t WeightsQ31_2048[4096]; + extern const q31_t cos_factorsQ31_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + extern const q31_t WeightsQ31_8192[16384]; + extern const q31_t cos_factorsQ31_8192[8192]; + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15) + extern const q15_t armRecipTableQ15[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31) + extern const q31_t armRecipTableQ31[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + /* Tables for Fast Math Sine and Cosine */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32) + extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31) + extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15) + extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) + extern const q31_t sqrtTable_Q31[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) + extern const q15_t sqrtTable_Q15[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + extern const float32_t exp_tab[8]; + extern const float32_t __logf_lut_f32[8]; +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +extern const unsigned char hwLUT[256]; +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#endif /* ARM_COMMON_TABLES_H */ + diff --git a/Firmware/cmsis/cm4/core_support/arm_const_structs.h b/Firmware/cmsis/cm4/core_support/arm_const_structs.h new file mode 100644 index 0000000..83984c4 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_const_structs.h @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.h + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() function. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_CONST_STRUCTS_H +#define _ARM_CONST_STRUCTS_H + +#include "arm_math.h" +#include "arm_common_tables.h" + + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096; + + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096; + + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096; + + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096; + +#endif diff --git a/Firmware/cmsis/cm4/core_support/arm_helium_utils.h b/Firmware/cmsis/cm4/core_support/arm_helium_utils.h new file mode 100644 index 0000000..8568857 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_helium_utils.h @@ -0,0 +1,348 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_helium_utils.h + * Description: Utility functions for Helium development + * + * $Date: 09. September 2019 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_UTILS_HELIUM_H_ +#define _ARM_UTILS_HELIUM_H_ + +/*************************************** + +Definitions available for MVEF and MVEI + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) + +#define INACTIVELANE 0 /* inactive lane content */ + + +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) */ + +/*************************************** + +Definitions available for MVEF only + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) + +__STATIC_FORCEINLINE float32_t vecAddAcrossF32Mve(float32x4_t in) +{ + float32_t acc; + + acc = vgetq_lane(in, 0) + vgetq_lane(in, 1) + + vgetq_lane(in, 2) + vgetq_lane(in, 3); + + return acc; +} + +/* newton initial guess */ +#define INVSQRT_MAGIC_F32 0x5f3759df + +#define INVSQRT_NEWTON_MVE_F32(invSqrt, xHalf, xStart)\ +{ \ + float32x4_t tmp; \ + \ + /* tmp = xhalf * x * x */ \ + tmp = vmulq(xStart, xStart); \ + tmp = vmulq(tmp, xHalf); \ + /* (1.5f - xhalf * x * x) */ \ + tmp = vsubq(vdupq_n_f32(1.5f), tmp); \ + /* x = x*(1.5f-xhalf*x*x); */ \ + invSqrt = vmulq(tmp, xStart); \ +} +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) */ + +/*************************************** + +Definitions available for MVEI only + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) + + +#include "arm_common_tables.h" + +/* Following functions are used to transpose matrix in f32 and q31 cases */ +__STATIC_INLINE arm_status arm_mat_trans_32bit_2x2_mve( + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + static const uint32x4_t vecOffs = { 0, 2, 1, 3 }; + /* + * + * | 0 1 | => | 0 2 | + * | 2 3 | | 1 3 | + * + */ + uint32x4_t vecIn = vldrwq_u32((uint32_t const *)pDataSrc); + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs, vecIn); + + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_trans_32bit_3x3_mve( + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + const uint32x4_t vecOffs1 = { 0, 3, 6, 1}; + const uint32x4_t vecOffs2 = { 4, 7, 2, 5}; + /* + * + * | 0 1 2 | | 0 3 6 | 4 x 32 flattened version | 0 3 6 1 | + * | 3 4 5 | => | 1 4 7 | => | 4 7 2 5 | + * | 6 7 8 | | 2 5 8 | (row major) | 8 . . . | + * + */ + uint32x4_t vecIn1 = vldrwq_u32((uint32_t const *) pDataSrc); + uint32x4_t vecIn2 = vldrwq_u32((uint32_t const *) &pDataSrc[4]); + + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs1, vecIn1); + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs2, vecIn2); + + pDataDest[8] = pDataSrc[8]; + + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_trans_32bit_4x4_mve(uint32_t * pDataSrc, uint32_t * pDataDest) +{ + /* + * 4x4 Matrix transposition + * is 4 x de-interleave operation + * + * 0 1 2 3 0 4 8 12 + * 4 5 6 7 1 5 9 13 + * 8 9 10 11 2 6 10 14 + * 12 13 14 15 3 7 11 15 + */ + + uint32x4x4_t vecIn; + + vecIn = vld4q((uint32_t const *) pDataSrc); + vstrwq(pDataDest, vecIn.val[0]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[1]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[2]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[3]); + + return (ARM_MATH_SUCCESS); +} + + +__STATIC_INLINE arm_status arm_mat_trans_32bit_generic_mve( + uint16_t srcRows, + uint16_t srcCols, + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + uint32x4_t vecOffs; + uint32_t i; + uint32_t blkCnt; + uint32_t const *pDataC; + uint32_t *pDataDestR; + uint32x4_t vecIn; + + vecOffs = vidupq_u32((uint32_t)0, 1); + vecOffs = vecOffs * srcCols; + + i = srcCols; + do + { + pDataC = (uint32_t const *) pDataSrc; + pDataDestR = pDataDest; + + blkCnt = srcRows >> 2; + while (blkCnt > 0U) + { + vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); + vstrwq(pDataDestR, vecIn); + pDataDestR += 4; + pDataC = pDataC + srcCols * 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = srcRows & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); + vstrwq_p(pDataDestR, vecIn, p0); + } + + pDataSrc += 1; + pDataDest += srcRows; + } + while (--i); + + return (ARM_MATH_SUCCESS); +} + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) +__STATIC_INLINE q31x4_t FAST_VSQRT_Q31(q31x4_t vecIn) +{ + q63x2_t vecTmpLL; + q31x4_t vecTmp0, vecTmp1; + q31_t scale; + q63_t tmp64; + q31x4_t vecNrm, vecDst, vecIdx, vecSignBits; + + + vecSignBits = vclsq(vecIn); + vecSignBits = vbicq(vecSignBits, 1); + /* + * in = in << no_of_sign_bits; + */ + vecNrm = vshlq(vecIn, vecSignBits); + /* + * index = in >> 24; + */ + vecIdx = vecNrm >> 24; + vecIdx = vecIdx << 1; + + vecTmp0 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx); + + vecIdx = vecIdx + 1; + + vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx); + + vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); + vecTmp0 = vecTmp0 - vecTmp1; + vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); + vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); + vecTmp1 = vdupq_n_s32(0x18000000) - vecTmp1; + vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); + vecTmpLL = vmullbq_int(vecNrm, vecTmp0); + + /* + * scale elements 0, 2 + */ + scale = 26 + (vecSignBits[0] >> 1); + tmp64 = asrl(vecTmpLL[0], scale); + vecDst[0] = (q31_t) tmp64; + + scale = 26 + (vecSignBits[2] >> 1); + tmp64 = asrl(vecTmpLL[1], scale); + vecDst[2] = (q31_t) tmp64; + + vecTmpLL = vmulltq_int(vecNrm, vecTmp0); + + /* + * scale elements 1, 3 + */ + scale = 26 + (vecSignBits[1] >> 1); + tmp64 = asrl(vecTmpLL[0], scale); + vecDst[1] = (q31_t) tmp64; + + scale = 26 + (vecSignBits[3] >> 1); + tmp64 = asrl(vecTmpLL[1], scale); + vecDst[3] = (q31_t) tmp64; + /* + * set negative values to 0 + */ + vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s32(vecIn, 0)); + + return vecDst; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) +__STATIC_INLINE q15x8_t FAST_VSQRT_Q15(q15x8_t vecIn) +{ + q31x4_t vecTmpLev, vecTmpLodd, vecSignL; + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecNrm, vecDst, vecIdx, vecSignBits; + + vecDst = vuninitializedq_s16(); + + vecSignBits = vclsq(vecIn); + vecSignBits = vbicq(vecSignBits, 1); + /* + * in = in << no_of_sign_bits; + */ + vecNrm = vshlq(vecIn, vecSignBits); + + vecIdx = vecNrm >> 8; + vecIdx = vecIdx << 1; + + vecTmp0 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx); + + vecIdx = vecIdx + 1; + + vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx); + + vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); + vecTmp0 = vecTmp0 - vecTmp1; + vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); + vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); + vecTmp1 = vdupq_n_s16(0x1800) - vecTmp1; + vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); + + vecSignBits = vecSignBits >> 1; + + vecTmpLev = vmullbq_int(vecNrm, vecTmp0); + vecTmpLodd = vmulltq_int(vecNrm, vecTmp0); + + vecTmp0 = vecSignBits + 10; + /* + * negate sign to apply register based vshl + */ + vecTmp0 = -vecTmp0; + + /* + * shift even elements + */ + vecSignL = vmovlbq(vecTmp0); + vecTmpLev = vshlq(vecTmpLev, vecSignL); + /* + * shift odd elements + */ + vecSignL = vmovltq(vecTmp0); + vecTmpLodd = vshlq(vecTmpLodd, vecSignL); + /* + * merge and narrow odd and even parts + */ + vecDst = vmovnbq_s32(vecDst, vecTmpLev); + vecDst = vmovntq_s32(vecDst, vecTmpLodd); + /* + * set negative values to 0 + */ + vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s16(vecIn, 0)); + + return vecDst; +} +#endif + +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) */ + +#endif diff --git a/Firmware/cmsis/cm4/core_support/arm_math.h b/Firmware/cmsis/cm4/core_support/arm_math.h new file mode 100644 index 0000000..2483e6e --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_math.h @@ -0,0 +1,8970 @@ +/****************************************************************************** + * @file arm_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 18. March 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/** + \mainpage CMSIS DSP Software Library + * + * Introduction + * ------------ + * + * This user manual describes the CMSIS DSP software library, + * a suite of common signal processing functions for use on Cortex-M and Cortex-A processor + * based devices. + * + * The library is divided into a number of functions each covering a specific category: + * - Basic math functions + * - Fast math functions + * - Complex math functions + * - Filtering functions + * - Matrix functions + * - Transform functions + * - Motor control functions + * - Statistical functions + * - Support functions + * - Interpolation functions + * - Support Vector Machine functions (SVM) + * - Bayes classifier functions + * - Distance functions + * + * The library has generally separate functions for operating on 8-bit integers, 16-bit integers, + * 32-bit integer and 32-bit floating-point values. + * + * Using the Library + * ------------ + * + * The library installer contains prebuilt versions of the libraries in the Lib folder. + * + * Here is the list of pre-built libraries : + * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit) + * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit) + * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit) + * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on) + * - arm_cortexM7l_math.lib (Cortex-M7, Little endian) + * - arm_cortexM7b_math.lib (Cortex-M7, Big endian) + * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit) + * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit) + * - arm_cortexM4l_math.lib (Cortex-M4, Little endian) + * - arm_cortexM4b_math.lib (Cortex-M4, Big endian) + * - arm_cortexM3l_math.lib (Cortex-M3, Little endian) + * - arm_cortexM3b_math.lib (Cortex-M3, Big endian) + * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian) + * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian) + * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian) + * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian) + * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit) + * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions) + * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit) + * + * The library functions are declared in the public file arm_math.h which is placed in the Include folder. + * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single + * public header file arm_math.h for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. + * + * + * Examples + * -------- + * + * The library ships with a number of examples which demonstrate how to use the library functions. + * + * Toolchain Support + * ------------ + * + * The library is now tested on Fast Models building with cmake. + * Core M0, M7, A5 are tested. + * + * + * + * Building the Library + * ------------ + * + * The library installer contains a project file to rebuild libraries on MDK toolchain in the CMSIS\\DSP\\Projects\\ARM folder. + * - arm_cortexM_math.uvprojx + * + * + * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above. + * + * There is also a work in progress cmake build. The README file is giving more details. + * + * Preprocessor Macros + * ------------ + * + * Each library project have different preprocessor macros. + * + * - ARM_MATH_BIG_ENDIAN: + * + * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets. + * + * - ARM_MATH_MATRIX_CHECK: + * + * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices + * + * - ARM_MATH_ROUNDING: + * + * Define macro ARM_MATH_ROUNDING for rounding on support functions + * + * - ARM_MATH_LOOPUNROLL: + * + * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions + * + * - ARM_MATH_NEON: + * + * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions. + * It is not enabled by default when Neon is available because performances are + * dependent on the compiler and target architecture. + * + * - ARM_MATH_NEON_EXPERIMENTAL: + * + * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of + * of some DSP functions. Experimental Neon versions currently do not have better + * performances than the scalar versions. + * + * - ARM_MATH_HELIUM: + * + * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_FLOAT16. + * + * - ARM_MATH_MVEF: + * + * Select Helium versions of the f32 algorithms. + * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI. + * + * - ARM_MATH_MVEI: + * + * Select Helium versions of the int and fixed point algorithms. + * + * - ARM_MATH_FLOAT16: + * + * Float16 implementations of some algorithms (Requires MVE extension). + * + *
+ * CMSIS-DSP in ARM::CMSIS Pack + * ----------------------------- + * + * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories: + * |File/Folder |Content | + * |---------------------------------|------------------------------------------------------------------------| + * |\b CMSIS\\Documentation\\DSP | This documentation | + * |\b CMSIS\\DSP\\DSP_Lib_TestSuite | DSP_Lib test suite | + * |\b CMSIS\\DSP\\Examples | Example projects demonstrating the usage of the library functions | + * |\b CMSIS\\DSP\\Include | DSP_Lib include files | + * |\b CMSIS\\DSP\\Lib | DSP_Lib binaries | + * |\b CMSIS\\DSP\\Projects | Projects to rebuild DSP_Lib binaries | + * |\b CMSIS\\DSP\\Source | DSP_Lib source files | + * + *
+ * Revision History of CMSIS-DSP + * ------------ + * Please refer to \ref ChangeLog_pg. + */ + + +/** + * @defgroup groupMath Basic Math Functions + */ + +/** + * @defgroup groupFastMath Fast Math Functions + * This set of functions provides a fast approximation to sine, cosine, and square root. + * As compared to most of the other functions in the CMSIS math library, the fast math functions + * operate on individual values and not arrays. + * There are separate functions for Q15, Q31, and floating-point data. + * + */ + +/** + * @defgroup groupCmplxMath Complex Math Functions + * This set of functions operates on complex data vectors. + * The data in the complex arrays is stored in an interleaved fashion + * (real, imag, real, imag, ...). + * In the API functions, the number of samples in a complex array refers + * to the number of complex values; the array contains twice this number of + * real values. + */ + +/** + * @defgroup groupFilters Filtering Functions + */ + +/** + * @defgroup groupMatrix Matrix Functions + * + * This set of functions provides basic matrix math operations. + * The functions operate on matrix data structures. For example, + * the type + * definition for the floating-point matrix structure is shown + * below: + * 
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types. + * + * The structure specifies the size of the matrix and then points to + * an array of data. The array is of size numRows X numCols + * and the values are arranged in row order. That is, the + * matrix element (i, j) is stored at: + * 
+ *     pData[i*numCols + j]
+ *
+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() + * for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + * 
+ * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
+ *
+ * where nRows specifies the number of rows, nColumns + * specifies the number of columns, and pData points to the + * data array. + * + * \par Size Checking + * By default all of the matrix functions perform size checking on the input and + * output matrices. For example, the matrix addition function verifies that the + * two input matrices and the output matrix all have the same number of rows and + * columns. If the size check fails the functions return: + * 
+ *     ARM_MATH_SIZE_MISMATCH
+ *
+ * Otherwise the functions return + * 
+ *     ARM_MATH_SUCCESS
+ *
+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + * 
+ *     ARM_MATH_MATRIX_CHECK
+ *
+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return ARM_MATH_SUCCESS. + */ + +/** + * @defgroup groupTransforms Transform Functions + */ + +/** + * @defgroup groupController Controller Functions + */ + +/** + * @defgroup groupStats Statistics Functions + */ + +/** + * @defgroup groupSupport Support Functions + */ + +/** + * @defgroup groupInterpolation Interpolation Functions + * These functions perform 1- and 2-dimensional interpolation of data. + * Linear interpolation is used for 1-dimensional data and + * bilinear interpolation is used for 2-dimensional data. + */ + +/** + * @defgroup groupExamples Examples + */ + +/** + * @defgroup groupSVM SVM Functions + * This set of functions is implementing SVM classification on 2 classes. + * The training must be done from scikit-learn. The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/SVM.py + * + * If more than 2 classes are needed, the functions in this folder + * will have to be used, as building blocks, to do multi-class classification. + * + * No multi-class classification is provided in this SVM folder. + * + */ + + +/** + * @defgroup groupBayes Bayesian estimators + * + * Implement the naive gaussian Bayes estimator. + * The training must be done from scikit-learn. + * + * The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/Bayes.py + */ + +/** + * @defgroup groupDistance Distance functions + * + * Distance functions for use with clustering algorithms. + * There are distance functions for float vectors and boolean vectors. + * + */ + + +#ifndef _ARM_MATH_H +#define _ARM_MATH_H + +#ifdef __cplusplus +extern "C" +{ +#endif + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wsign-conversion" + #pragma GCC diagnostic ignored "-Wconversion" + #pragma GCC diagnostic ignored "-Wunused-parameter" + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + + +/* Included for instrinsics definitions */ +#if defined (_MSC_VER ) +#include +#define __STATIC_FORCEINLINE static __forceinline +#define __STATIC_INLINE static __inline +#define __ALIGNED(x) __declspec(align(x)) + +#elif defined (__GNUC_PYTHON__) +#include +#define __ALIGNED(x) __attribute__((aligned(x))) +#define __STATIC_FORCEINLINE static __attribute__((inline)) +#define __STATIC_INLINE static __attribute__((inline)) +#pragma GCC diagnostic ignored "-Wunused-function" +#pragma GCC diagnostic ignored "-Wattributes" + +#else +#include "cmsis_compiler.h" +#endif + + + +#include +#include +#include +#include + + +#define F64_MAX ((float64_t)DBL_MAX) +#define F32_MAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MAX ((float16_t)FLT_MAX) +#endif + +#define F64_MIN (-DBL_MAX) +#define F32_MIN (-FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MIN (-(float16_t)FLT_MAX) +#endif + +#define F64_ABSMAX ((float64_t)DBL_MAX) +#define F32_ABSMAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMAX ((float16_t)FLT_MAX) +#endif + +#define F64_ABSMIN ((float64_t)0.0) +#define F32_ABSMIN ((float32_t)0.0) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMIN ((float16_t)0.0) +#endif + +#define Q31_MAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_MAX ((q15_t)(0x7FFF)) +#define Q7_MAX ((q7_t)(0x7F)) +#define Q31_MIN ((q31_t)(0x80000000L)) +#define Q15_MIN ((q15_t)(0x8000)) +#define Q7_MIN ((q7_t)(0x80)) + +#define Q31_ABSMAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_ABSMAX ((q15_t)(0x7FFF)) +#define Q7_ABSMAX ((q7_t)(0x7F)) +#define Q31_ABSMIN ((q31_t)0) +#define Q15_ABSMIN ((q15_t)0) +#define Q7_ABSMIN ((q7_t)0) + +/* evaluate ARM DSP feature */ +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + #define ARM_MATH_DSP 1 +#endif + +#if defined(ARM_MATH_NEON) +#include +#endif + +#if defined (ARM_MATH_HELIUM) + #define ARM_MATH_MVEF + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_MVEF) + #define ARM_MATH_MVEI + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) +#include +#endif + + + /** + * @brief Macros required for reciprocal calculation in Normalized LMS + */ + +#define DELTA_Q31 ((q31_t)(0x100)) +#define DELTA_Q15 ((q15_t)0x5) +#define INDEX_MASK 0x0000003F +#ifndef PI + #define PI 3.14159265358979f +#endif + + /** + * @brief Macros required for SINE and COSINE Fast math approximations + */ + +#define FAST_MATH_TABLE_SIZE 512 +#define FAST_MATH_Q31_SHIFT (32 - 10) +#define FAST_MATH_Q15_SHIFT (16 - 10) +#define CONTROLLER_Q31_SHIFT (32 - 9) +#define TABLE_SPACING_Q31 0x400000 +#define TABLE_SPACING_Q15 0x80 + + /** + * @brief Macros required for SINE and COSINE Controller functions + */ + /* 1.31(q31) Fixed value of 2/360 */ + /* -1 to +1 is divided into 360 values so total spacing is (2/360) */ +#define INPUT_SPACING 0xB60B61 + + /** + * @brief Macros for complex numbers + */ + + /* Dimension C vector space */ + #define CMPLX_DIM 2 + + /** + * @brief Error status returned by some functions in the library. + */ + + typedef enum + { + ARM_MATH_SUCCESS = 0, /**< No error */ + ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */ + ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */ + ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation */ + ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */ + ARM_MATH_SINGULAR = -5, /**< Input matrix is singular and cannot be inverted */ + ARM_MATH_TEST_FAILURE = -6 /**< Test Failed */ + } arm_status; + + /** + * @brief 8-bit fractional data type in 1.7 format. + */ + typedef int8_t q7_t; + + /** + * @brief 16-bit fractional data type in 1.15 format. + */ + typedef int16_t q15_t; + + /** + * @brief 32-bit fractional data type in 1.31 format. + */ + typedef int32_t q31_t; + + /** + * @brief 64-bit fractional data type in 1.63 format. + */ + typedef int64_t q63_t; + + /** + * @brief 32-bit floating-point type definition. + */ + typedef float float32_t; + + /** + * @brief 64-bit floating-point type definition. + */ + typedef double float64_t; + + /** + * @brief vector types + */ +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_MVEI) + /** + * @brief 64-bit fractional 128-bit vector data type in 1.63 format + */ + typedef int64x2_t q63x2_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 1.31 format. + */ + typedef int32x4_t q31x4_t; + + /** + * @brief 16-bit fractional 128-bit vector data type with 16-bit alignement in 1.15 format. + */ + typedef __ALIGNED(2) int16x8_t q15x8_t; + + /** + * @brief 8-bit fractional 128-bit vector data type with 8-bit alignement in 1.7 format. + */ + typedef __ALIGNED(1) int8x16_t q7x16_t; + + /** + * @brief 32-bit fractional 128-bit vector pair data type in 1.31 format. + */ + typedef int32x4x2_t q31x4x2_t; + + /** + * @brief 32-bit fractional 128-bit vector quadruplet data type in 1.31 format. + */ + typedef int32x4x4_t q31x4x4_t; + + /** + * @brief 16-bit fractional 128-bit vector pair data type in 1.15 format. + */ + typedef int16x8x2_t q15x8x2_t; + + /** + * @brief 16-bit fractional 128-bit vector quadruplet data type in 1.15 format. + */ + typedef int16x8x4_t q15x8x4_t; + + /** + * @brief 8-bit fractional 128-bit vector pair data type in 1.7 format. + */ + typedef int8x16x2_t q7x16x2_t; + + /** + * @brief 8-bit fractional 128-bit vector quadruplet data type in 1.7 format. + */ + typedef int8x16x4_t q7x16x4_t; + + /** + * @brief 32-bit fractional data type in 9.23 format. + */ + typedef int32_t q23_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 9.23 format. + */ + typedef int32x4_t q23x4_t; + + /** + * @brief 64-bit status 128-bit vector data type. + */ + typedef int64x2_t status64x2_t; + + /** + * @brief 32-bit status 128-bit vector data type. + */ + typedef int32x4_t status32x4_t; + + /** + * @brief 16-bit status 128-bit vector data type. + */ + typedef int16x8_t status16x8_t; + + /** + * @brief 8-bit status 128-bit vector data type. + */ + typedef int8x16_t status8x16_t; + + +#endif + +#if defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF) /* floating point vector*/ + /** + * @brief 32-bit floating-point 128-bit vector type + */ + typedef float32x4_t f32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector data type + */ + typedef __ALIGNED(2) float16x8_t f16x8_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector pair data type + */ + typedef float32x4x2_t f32x4x2_t; + + /** + * @brief 32-bit floating-point 128-bit vector quadruplet data type + */ + typedef float32x4x4_t f32x4x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector pair data type + */ + typedef float16x8x2_t f16x8x2_t; + + /** + * @brief 16-bit floating-point 128-bit vector quadruplet data type + */ + typedef float16x8x4_t f16x8x4_t; +#endif + + /** + * @brief 32-bit ubiquitous 128-bit vector data type + */ + typedef union _any32x4_t + { + float32x4_t f; + int32x4_t i; + } any32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 128-bit vector data type + */ + typedef union _any16x8_t + { + float16x8_t f; + int16x8_t i; + } any16x8_t; +#endif + +#endif + +#if defined(ARM_MATH_NEON) + /** + * @brief 32-bit fractional 64-bit vector data type in 1.31 format. + */ + typedef int32x2_t q31x2_t; + + /** + * @brief 16-bit fractional 64-bit vector data type in 1.15 format. + */ + typedef __ALIGNED(2) int16x4_t q15x4_t; + + /** + * @brief 8-bit fractional 64-bit vector data type in 1.7 format. + */ + typedef __ALIGNED(1) int8x8_t q7x8_t; + + /** + * @brief 32-bit float 64-bit vector data type. + */ + typedef float32x2_t f32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit float 64-bit vector data type. + */ + typedef __ALIGNED(2) float16x4_t f16x4_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector triplet data type + */ + typedef float32x4x3_t f32x4x3_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector triplet data type + */ + typedef float16x8x3_t f16x8x3_t; +#endif + + /** + * @brief 32-bit fractional 128-bit vector triplet data type in 1.31 format + */ + typedef int32x4x3_t q31x4x3_t; + + /** + * @brief 16-bit fractional 128-bit vector triplet data type in 1.15 format + */ + typedef int16x8x3_t q15x8x3_t; + + /** + * @brief 8-bit fractional 128-bit vector triplet data type in 1.7 format + */ + typedef int8x16x3_t q7x16x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector pair data type + */ + typedef float32x2x2_t f32x2x2_t; + + /** + * @brief 32-bit floating-point 64-bit vector triplet data type + */ + typedef float32x2x3_t f32x2x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector quadruplet data type + */ + typedef float32x2x4_t f32x2x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 64-bit vector pair data type + */ + typedef float16x4x2_t f16x4x2_t; + + /** + * @brief 16-bit floating-point 64-bit vector triplet data type + */ + typedef float16x4x3_t f16x4x3_t; + + /** + * @brief 16-bit floating-point 64-bit vector quadruplet data type + */ + typedef float16x4x4_t f16x4x4_t; +#endif + + /** + * @brief 32-bit fractional 64-bit vector pair data type in 1.31 format + */ + typedef int32x2x2_t q31x2x2_t; + + /** + * @brief 32-bit fractional 64-bit vector triplet data type in 1.31 format + */ + typedef int32x2x3_t q31x2x3_t; + + /** + * @brief 32-bit fractional 64-bit vector quadruplet data type in 1.31 format + */ + typedef int32x4x3_t q31x2x4_t; + + /** + * @brief 16-bit fractional 64-bit vector pair data type in 1.15 format + */ + typedef int16x4x2_t q15x4x2_t; + + /** + * @brief 16-bit fractional 64-bit vector triplet data type in 1.15 format + */ + typedef int16x4x2_t q15x4x3_t; + + /** + * @brief 16-bit fractional 64-bit vector quadruplet data type in 1.15 format + */ + typedef int16x4x3_t q15x4x4_t; + + /** + * @brief 8-bit fractional 64-bit vector pair data type in 1.7 format + */ + typedef int8x8x2_t q7x8x2_t; + + /** + * @brief 8-bit fractional 64-bit vector triplet data type in 1.7 format + */ + typedef int8x8x3_t q7x8x3_t; + + /** + * @brief 8-bit fractional 64-bit vector quadruplet data type in 1.7 format + */ + typedef int8x8x4_t q7x8x4_t; + + /** + * @brief 32-bit ubiquitous 64-bit vector data type + */ + typedef union _any32x2_t + { + float32x2_t f; + int32x2_t i; + } any32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 64-bit vector data type + */ + typedef union _any16x4_t + { + float16x4_t f; + int16x4_t i; + } any16x4_t; +#endif + + /** + * @brief 32-bit status 64-bit vector data type. + */ + typedef int32x4_t status32x2_t; + + /** + * @brief 16-bit status 64-bit vector data type. + */ + typedef int16x8_t status16x4_t; + + /** + * @brief 8-bit status 64-bit vector data type. + */ + typedef int8x16_t status8x8_t; + +#endif + + + +/** + @brief definition to read/write two 16 bit values. + @deprecated + */ +#if defined ( __CC_ARM ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define __SIMD32_TYPE int32_t +#elif defined ( __GNUC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __ICCARM__ ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __TI_ARM__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __CSMC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __TASKING__ ) + #define __SIMD32_TYPE __un(aligned) int32_t +#elif defined(_MSC_VER ) + #define __SIMD32_TYPE int32_t +#else + #error Unknown compiler +#endif + +#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr)) +#define __SIMD32_CONST(addr) ( (__SIMD32_TYPE * ) (addr)) +#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE * ) (addr)) +#define __SIMD64(addr) (*( int64_t **) & (addr)) + +#define STEP(x) (x) <= 0 ? 0 : 1 +#define SQ(x) ((x) * (x)) + +/* SIMD replacement */ + + +/** + @brief Read 2 Q15 from Q15 pointer. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2 ( + q15_t * pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, pQ15, 4); +#else + val = (pQ15[1] << 16) | (pQ15[0] & 0x0FFFF) ; +#endif + + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_ia ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 += 2; + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and decrement pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_da ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 -= 2; + return (val); +} + +/** + @brief Write 2 Q15 to Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2_ia ( + q15_t ** pQ15, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ15, &val, 4); +#else + (*pQ15)[0] = (val & 0x0FFFF); + (*pQ15)[1] = (val >> 16) & 0x0FFFF; +#endif + + *pQ15 += 2; +} + +/** + @brief Write 2 Q15 to Q15 pointer. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2 ( + q15_t * pQ15, + q31_t value) +{ + q31_t val = value; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (pQ15, &val, 4); +#else + pQ15[0] = val & 0x0FFFF; + pQ15[1] = val >> 16; +#endif +} + + +/** + @brief Read 4 Q7 from Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_ia ( + q7_t ** pQ7) +{ + q31_t val; + + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val =(((*pQ7)[3] & 0x0FF) << 24) | (((*pQ7)[2] & 0x0FF) << 16) | (((*pQ7)[1] & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + + *pQ7 += 4; + + return (val); +} + +/** + @brief Read 4 Q7 from Q7 pointer and decrement pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_da ( + q7_t ** pQ7) +{ + q31_t val; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val = ((((*pQ7)[3]) & 0x0FF) << 24) | ((((*pQ7)[2]) & 0x0FF) << 16) | ((((*pQ7)[1]) & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + *pQ7 -= 4; + + return (val); +} + +/** + @brief Write 4 Q7 to Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q7x4_ia ( + q7_t ** pQ7, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ7, &val, 4); +#else + (*pQ7)[0] = val & 0x0FF; + (*pQ7)[1] = (val >> 8) & 0x0FF; + (*pQ7)[2] = (val >> 16) & 0x0FF; + (*pQ7)[3] = (val >> 24) & 0x0FF; + +#endif + *pQ7 += 4; +} + +/* + +Normally those kind of definitions are in a compiler file +in Core or Core_A. + +But for MSVC compiler it is a bit special. The goal is very specific +to CMSIS-DSP and only to allow the use of this library from other +systems like Python or Matlab. + +MSVC is not going to be used to cross-compile to ARM. So, having a MSVC +compiler file in Core or Core_A would not make sense. + +*/ +#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data) + { + if (data == 0U) { return 32U; } + + uint32_t count = 0U; + uint32_t mask = 0x80000000U; + + while ((data & mask) == 0U) + { + count += 1U; + mask = mask >> 1U; + } + return count; + } + + __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) + { + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; + } + + __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) + { + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; + } +#endif + +#ifndef ARM_MATH_DSP + /** + * @brief definition to pack two 16 bit values. + */ + #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ + (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) + #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ + (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) +#endif + + /** + * @brief definition to pack four 8 bit values. + */ +#ifndef ARM_MATH_BIG_ENDIAN + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v3) << 24) & (int32_t)0xFF000000) ) +#else + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v0) << 24) & (int32_t)0xFF000000) ) +#endif + + + /** + * @brief Clips Q63 to Q31 values. + */ + __STATIC_FORCEINLINE q31_t clip_q63_to_q31( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x; + } + + /** + * @brief Clips Q63 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q63_to_q15( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15); + } + + /** + * @brief Clips Q31 to Q7 values. + */ + __STATIC_FORCEINLINE q7_t clip_q31_to_q7( + q31_t x) + { + return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ? + ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x; + } + + /** + * @brief Clips Q31 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q31_to_q15( + q31_t x) + { + return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ? + ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x; + } + + /** + * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format. + */ + __STATIC_FORCEINLINE q63_t mult32x64( + q63_t x, + q31_t y) + { + return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) + + (((q63_t) (x >> 32) * y) ) ); + } + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q31( + q31_t in, + q31_t * dst, + const q31_t * pRecipTable) + { + q31_t out; + uint32_t tempVal; + uint32_t index, i; + uint32_t signBits; + + if (in > 0) + { + signBits = ((uint32_t) (__CLZ( in) - 1)); + } + else + { + signBits = ((uint32_t) (__CLZ(-in) - 1)); + } + + /* Convert input sample to 1.31 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 24); + index = (index & INDEX_MASK); + + /* 1.31 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q63_t) in * out) >> 31); + tempVal = 0x7FFFFFFFu - tempVal; + /* 1.31 with exp 1 */ + /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */ + out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30); + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1U); + } + + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q15( + q15_t in, + q15_t * dst, + const q15_t * pRecipTable) + { + q15_t out = 0; + uint32_t tempVal = 0; + uint32_t index = 0, i = 0; + uint32_t signBits = 0; + + if (in > 0) + { + signBits = ((uint32_t)(__CLZ( in) - 17)); + } + else + { + signBits = ((uint32_t)(__CLZ(-in) - 17)); + } + + /* Convert input sample to 1.15 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 8); + index = (index & INDEX_MASK); + + /* 1.15 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q31_t) in * out) >> 15); + tempVal = 0x7FFFu - tempVal; + /* 1.15 with exp 1 */ + out = (q15_t) (((q31_t) out * tempVal) >> 14); + /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */ + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1); + } + +/** + * @brief Integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb) +{ + float32_t r = x; + nb --; + while(nb > 0) + { + r = r * x; + nb--; + } + return(r); +} + +/** + * @brief 64-bit to 32-bit unsigned normalization + * @param[in] in is input unsigned long long value + * @param[out] normalized is the 32-bit normalized value + * @param[out] norm is norm scale + */ +__STATIC_INLINE void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm) +{ + int32_t n1; + int32_t hi = (int32_t) (in >> 32); + int32_t lo = (int32_t) ((in << 32) >> 32); + + n1 = __CLZ(hi) - 32; + if (!n1) + { + /* + * input fits in 32-bit + */ + n1 = __CLZ(lo); + if (!n1) + { + /* + * MSB set, need to scale down by 1 + */ + *norm = -1; + *normalized = (((uint32_t) lo) >> 1); + } else + { + if (n1 == 32) + { + /* + * input is zero + */ + *norm = 0; + *normalized = 0; + } else + { + /* + * 32-bit normalization + */ + *norm = n1 - 1; + *normalized = lo << *norm; + } + } + } else + { + /* + * input fits in 64-bit + */ + n1 = 1 - n1; + *norm = -n1; + /* + * 64 bit normalization + */ + *normalized = (((uint32_t) lo) >> n1) | (hi << (32 - n1)); + } +} + +__STATIC_INLINE q31_t arm_div_q63_to_q31(q63_t num, q31_t den) +{ + q31_t result; + uint64_t absNum; + int32_t normalized; + int32_t norm; + + /* + * if sum fits in 32bits + * avoid costly 64-bit division + */ + absNum = num > 0 ? num : -num; + arm_norm_64_to_32u(absNum, &normalized, &norm); + if (norm > 0) + /* + * 32-bit division + */ + result = (q31_t) num / den; + else + /* + * 64-bit division + */ + result = (q31_t) (num / den); + + return result; +} + + +/* + * @brief C custom defined intrinsic functions + */ +#if !defined (ARM_MATH_DSP) + + /* + * @brief C custom defined QADD8 + */ + __STATIC_FORCEINLINE uint32_t __QADD8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QSUB8 + */ + __STATIC_FORCEINLINE uint32_t __QSUB8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QADD16 + */ + __STATIC_FORCEINLINE uint32_t __QADD16( + uint32_t x, + uint32_t y) + { +/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */ + q31_t r = 0, s = 0; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHADD16 + */ + __STATIC_FORCEINLINE uint32_t __SHADD16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSUB16 + */ + __STATIC_FORCEINLINE uint32_t __QSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSUB16 + */ + __STATIC_FORCEINLINE uint32_t __SHSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QASX + */ + __STATIC_FORCEINLINE uint32_t __QASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHASX + */ + __STATIC_FORCEINLINE uint32_t __SHASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSAX + */ + __STATIC_FORCEINLINE uint32_t __QSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSAX + */ + __STATIC_FORCEINLINE uint32_t __SHSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SMUSDX + */ + __STATIC_FORCEINLINE uint32_t __SMUSDX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + /* + * @brief C custom defined SMUADX + */ + __STATIC_FORCEINLINE uint32_t __SMUADX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + + /* + * @brief C custom defined QADD + */ + __STATIC_FORCEINLINE int32_t __QADD( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y))); + } + + + /* + * @brief C custom defined QSUB + */ + __STATIC_FORCEINLINE int32_t __QSUB( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y))); + } + + + /* + * @brief C custom defined SMLAD + */ + __STATIC_FORCEINLINE uint32_t __SMLAD( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLADX + */ + __STATIC_FORCEINLINE uint32_t __SMLADX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLSDX + */ + __STATIC_FORCEINLINE uint32_t __SMLSDX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALD + */ + __STATIC_FORCEINLINE uint64_t __SMLALD( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALDX + */ + __STATIC_FORCEINLINE uint64_t __SMLALDX( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMUAD + */ + __STATIC_FORCEINLINE uint32_t __SMUAD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SMUSD + */ + __STATIC_FORCEINLINE uint32_t __SMUSD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SXTB16 + */ + __STATIC_FORCEINLINE uint32_t __SXTB16( + uint32_t x) + { + return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) | + ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) )); + } + + /* + * @brief C custom defined SMMLA + */ + __STATIC_FORCEINLINE int32_t __SMMLA( + int32_t x, + int32_t y, + int32_t sum) + { + return (sum + (int32_t) (((int64_t) x * y) >> 32)); + } + +#endif /* !defined (ARM_MATH_DSP) */ + + + /** + * @brief Instance structure for the Q7 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q7; + + /** + * @brief Instance structure for the Q15 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f32; + + /** + * @brief Processing function for the Q7 FIR filter. + * @param[in] S points to an instance of the Q7 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q7 FIR filter. + * @param[in,out] S points to an instance of the Q7 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed. + */ + void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR filter. + * @param[in] S points to an instance of the Q15 FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q15 FIR filter (fast version). + * @param[in] S points to an instance of the Q15 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 FIR filter. + * @param[in,out] S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return The function returns either + * ARM_MATH_SUCCESS if initialization was successful or + * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value. + */ + arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR filter. + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q31 FIR filter (fast version). + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR filter. + * @param[in,out] S points to an instance of the Q31 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the floating-point FIR filter. + * @param[in] S points to an instance of the floating-point FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_f32( + const arm_fir_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point FIR filter. + * @param[in,out] S points to an instance of the floating-point FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + /** + * @brief Instance structure for the Q15 Biquad cascade filter. + */ + typedef struct + { + int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q15; + + /** + * @brief Instance structure for the Q31 Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q31; + + /** + * @brief Instance structure for the floating-point Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_casd_df1_inst_f32; + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + /** + * @brief Instance structure for the modified Biquad coefs required by vectorized code. + */ + typedef struct + { + float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */ + } arm_biquad_mod_coef_f32; +#endif + + /** + * @brief Processing function for the Q15 Biquad cascade filter. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + const q15_t * pCoeffs, + q15_t * pState, + int8_t postShift); + + /** + * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 Biquad cascade filter + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q31_t * pState, + int8_t postShift); + + /** + * @brief Processing function for the floating-point Biquad cascade filter. + * @param[in] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point Biquad cascade filter. + * @param[in,out] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version). + * @param[in] pState points to the state buffer. + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + void arm_biquad_cascade_df1_mve_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + arm_biquad_mod_coef_f32 * pCoeffsMod, + float32_t * pState); +#endif + + void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize); + +/** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_BITONIC = 0, + /**< Bitonic sort */ + ARM_SORT_BUBBLE = 1, + /**< Bubble sort */ + ARM_SORT_HEAP = 2, + /**< Heap sort */ + ARM_SORT_INSERTION = 3, + /**< Insertion sort */ + ARM_SORT_QUICK = 4, + /**< Quick sort */ + ARM_SORT_SELECTION = 5 + /**< Selection sort */ + } arm_sort_alg; + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_DESCENDING = 0, + /**< Descending order (9 to 0) */ + ARM_SORT_ASCENDING = 1 + /**< Ascending order (0 to 9) */ + } arm_sort_dir; + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_alg alg; /**< Sorting algorithm selected */ + arm_sort_dir dir; /**< Sorting order (direction) */ + } arm_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] alg Selected algorithm. + * @param[in] dir Sorting order. + */ + void arm_sort_init_f32( + arm_sort_instance_f32 * S, + arm_sort_alg alg, + arm_sort_dir dir); + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_dir dir; /**< Sorting order (direction) */ + float32_t * buffer; /**< Working buffer */ + } arm_merge_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in,out] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_merge_sort_f32( + const arm_merge_sort_instance_f32 * S, + float32_t *pSrc, + float32_t *pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] dir Sorting order. + * @param[in] buffer Working buffer. + */ + void arm_merge_sort_init_f32( + arm_merge_sort_instance_f32 * S, + arm_sort_dir dir, + float32_t * buffer); + + /** + * @brief Struct for specifying cubic spline type + */ + typedef enum + { + ARM_SPLINE_NATURAL = 0, /**< Natural spline */ + ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */ + } arm_spline_type; + + /** + * @brief Instance structure for the floating-point cubic spline interpolation. + */ + typedef struct + { + arm_spline_type type; /**< Type (boundary conditions) */ + const float32_t * x; /**< x values */ + const float32_t * y; /**< y values */ + uint32_t n_x; /**< Number of known data points */ + float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */ + } arm_spline_instance_f32; + + /** + * @brief Processing function for the floating-point cubic spline interpolation. + * @param[in] S points to an instance of the floating-point spline structure. + * @param[in] xq points to the x values ot the interpolated data points. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples of output data. + */ + void arm_spline_f32( + arm_spline_instance_f32 * S, + const float32_t * xq, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point cubic spline interpolation. + * @param[in,out] S points to an instance of the floating-point spline structure. + * @param[in] type type of cubic spline interpolation (boundary conditions) + * @param[in] x points to the x values of the known data points. + * @param[in] y points to the y values of the known data points. + * @param[in] n number of known data points. + * @param[in] coeffs coefficients array for b, c, and d + * @param[in] tempBuffer buffer array for internal computations + */ + void arm_spline_init_f32( + arm_spline_instance_f32 * S, + arm_spline_type type, + const float32_t * x, + const float32_t * y, + uint32_t n, + float32_t * coeffs, + float32_t * tempBuffer); + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float32_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f32; + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float64_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f64; + + /** + * @brief Instance structure for the Q15 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q15_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q15; + + /** + * @brief Instance structure for the Q31 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q31_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q31; + + /** + * @brief Floating-point matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch); + + /** + * @brief Q31, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q31 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix scaling. + * @param[in] pSrc points to the input matrix + * @param[in] scale scale factor + * @param[out] pDst points to the output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData); + + /** + * @brief Q15 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData); + + /** + * @brief Floating-point matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData); + + + /** + * @brief Instance structure for the Q15 PID Control. + */ + typedef struct + { + q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ +#if !defined (ARM_MATH_DSP) + q15_t A1; + q15_t A2; +#else + q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ +#endif + q15_t state[3]; /**< The state array of length 3. */ + q15_t Kp; /**< The proportional gain. */ + q15_t Ki; /**< The integral gain. */ + q15_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q15; + + /** + * @brief Instance structure for the Q31 PID Control. + */ + typedef struct + { + q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + q31_t A2; /**< The derived gain, A2 = Kd . */ + q31_t state[3]; /**< The state array of length 3. */ + q31_t Kp; /**< The proportional gain. */ + q31_t Ki; /**< The integral gain. */ + q31_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q31; + + /** + * @brief Instance structure for the floating-point PID Control. + */ + typedef struct + { + float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + float32_t A2; /**< The derived gain, A2 = Kd . */ + float32_t state[3]; /**< The state array of length 3. */ + float32_t Kp; /**< The proportional gain. */ + float32_t Ki; /**< The integral gain. */ + float32_t Kd; /**< The derivative gain. */ + } arm_pid_instance_f32; + + + + /** + * @brief Initialization function for the floating-point PID Control. + * @param[in,out] S points to an instance of the PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + */ + void arm_pid_reset_f32( + arm_pid_instance_f32 * S); + + + /** + * @brief Initialization function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q31 PID Control structure + */ + + void arm_pid_reset_q31( + arm_pid_instance_q31 * S); + + + /** + * @brief Initialization function for the Q15 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q15 PID Control. + * @param[in,out] S points to an instance of the q15 PID Control structure + */ + void arm_pid_reset_q15( + arm_pid_instance_q15 * S); + + + /** + * @brief Instance structure for the floating-point Linear Interpolate function. + */ + typedef struct + { + uint32_t nValues; /**< nValues */ + float32_t x1; /**< x1 */ + float32_t xSpacing; /**< xSpacing */ + float32_t *pYData; /**< pointer to the table of Y values */ + } arm_linear_interp_instance_f32; + + /** + * @brief Instance structure for the floating-point bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + float32_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_f32; + + /** + * @brief Instance structure for the Q31 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q31_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q31; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q15_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q15; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q7_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q7; + + + /** + * @brief Q7 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc); + + /** + * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q31; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q31( + const arm_cfft_radix2_instance_q31 * S, + q31_t * pSrc); + + /** + * @brief Instance structure for the Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q31; + +/* Deprecated */ + void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc); + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix2_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_f32( + const arm_cfft_radix2_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix4_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q15_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q15; + +arm_status arm_cfft_init_q15( + arm_cfft_instance_q15 * S, + uint16_t fftLen); + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q31_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q31; + +arm_status arm_cfft_init_q31( + arm_cfft_instance_q31 * S, + uint16_t fftLen); + +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const float32_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_f32; + + + arm_status arm_cfft_init_f32( + arm_cfft_instance_f32 * S, + uint16_t fftLen); + + void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + + /** + * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float64_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_f64; + + void arm_cfft_f64( + const arm_cfft_instance_f64 * S, + float64_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the Q15 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q15 cfftInst; +#else + const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q15; + + arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst); + + /** + * @brief Instance structure for the Q31 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q31 cfftInst; +#else + const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q31; + + arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst); + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint16_t fftLenBy2; /**< length of the complex FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_f32; + + arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst); + + /** + * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f64 ; + +arm_status arm_rfft_fast_init_f64 ( + arm_rfft_fast_instance_f64 * S, + uint16_t fftLen); + + +void arm_rfft_fast_f64( + arm_rfft_fast_instance_f64 * S, + float64_t * p, float64_t * pOut, + uint8_t ifftFlag); + + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f32 ; + +arm_status arm_rfft_fast_init_f32 ( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen); + + + void arm_rfft_fast_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, float32_t * pOut, + uint8_t ifftFlag); + + /** + * @brief Instance structure for the floating-point DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + float32_t normalize; /**< normalizing factor. */ + const float32_t *pTwiddle; /**< points to the twiddle factor table. */ + const float32_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_f32; + + + /** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length. + */ + arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize); + + + /** + * @brief Processing function for the floating-point DCT4/IDCT4. + * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q31 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q31_t normalize; /**< normalizing factor. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const q31_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q31; + + + /** + * @brief Initialization function for the Q31 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure + * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize); + + + /** + * @brief Processing function for the Q31 DCT4/IDCT4. + * @param[in] S points to an instance of the Q31 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q15 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q15_t normalize; /**< normalizing factor. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const q15_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q15; + + + /** + * @brief Initialization function for the Q15 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize); + + + /** + * @brief Processing function for the Q15 DCT4/IDCT4. + * @param[in] S points to an instance of the Q15 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer); + + + /** + * @brief Floating-point vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a floating-point vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scale scale factor to be applied + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q7 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q7( + const q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q15 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q15( + const q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q31 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q31( + const q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Dot product of floating-point vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result); + + + /** + * @brief Dot product of Q7 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result); + + + /** + * @brief Dot product of Q15 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Dot product of Q31 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Shifts the elements of a Q7 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q7( + const q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q15 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q15( + const q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q31 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q31( + const q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a floating-point vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q7 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a floating-point vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q7 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q15 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q31 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + + /** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Partial convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q7 sequences + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Instance structure for the Q15 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q31; + +/** + @brief Instance structure for floating-point FIR decimator. + */ +typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_f32; + + +/** + @brief Processing function for floating-point FIR decimator. + @param[in] S points to an instance of the floating-point FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + */ +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + +/** + @brief Initialization function for the floating-point FIR decimator. + @param[in,out] S points to an instance of the floating-point FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + */ +arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR decimator. + * @param[in,out] S points to an instance of the Q15 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR decimator. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR decimator. + * @param[in,out] S points to an instance of the Q31 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */ + } arm_fir_interpolate_instance_f32; + + + /** + * @brief Processing function for the Q15 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR interpolator. + * @param[in,out] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR interpolator. + * @param[in,out] S points to an instance of the Q31 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point FIR interpolator. + * @param[in,out] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the high precision Q31 Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */ + } arm_biquad_cas_df1_32x64_ins_q31; + + + /** + * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift); + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_stereo_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f64; + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f64( + const arm_biquad_cascade_df2T_instance_f64 * S, + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize); + + +#if defined(ARM_MATH_NEON) +void arm_biquad_cascade_df2T_compute_coefs_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs); +#endif + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + const float64_t * pCoeffs, + float64_t * pState); + + + /** + * @brief Instance structure for the Q15 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_f32; + + + /** + * @brief Initialization function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + const q15_t * pCoeffs, + q15_t * pState); + + + /** + * @brief Processing function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + const q31_t * pCoeffs, + q31_t * pState); + + + /** + * @brief Processing function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Processing function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_f32; + + + /** + * @brief Processing function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the Q15 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process per call. + */ + void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the floating-point LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that controls filter coefficient updates. */ + } arm_lms_instance_f32; + + + /** + * @brief Processing function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_f32( + const arm_lms_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q15; + + + /** + * @brief Initialization function for the Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Processing function for Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q15( + const arm_lms_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q31; + + + /** + * @brief Processing function for Q31 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q31( + const arm_lms_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 LMS filter. + * @param[in] S points to an instance of the Q31 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Instance structure for the floating-point normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that control filter coefficient updates. */ + float32_t energy; /**< saves previous frame energy. */ + float32_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_f32; + + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q31_t *recipTable; /**< points to the reciprocal initial value table. */ + q31_t energy; /**< saves previous frame energy. */ + q31_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q31; + + + /** + * @brief Processing function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Instance structure for the Q15 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< Number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q15_t *recipTable; /**< Points to the reciprocal initial value table. */ + q15_t energy; /**< saves previous frame energy. */ + q15_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q15; + + + /** + * @brief Processing function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Correlation of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + +/** + @brief Correlation of Q15 sequences + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. +*/ +void arm_correlate_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + +/** + @brief Correlation of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + */ +void arm_correlate_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + */ +void arm_correlate_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + + /** + * @brief Correlation of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + +/** + @brief Correlation of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ +void arm_correlate_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_correlate_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Instance structure for the floating-point sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_f32; + + /** + * @brief Instance structure for the Q31 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q31; + + /** + * @brief Instance structure for the Q15 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q15; + + /** + * @brief Instance structure for the Q7 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q7; + + + /** + * @brief Processing function for the floating-point sparse FIR filter. + * @param[in] S points to an instance of the floating-point sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point sparse FIR filter. + * @param[in,out] S points to an instance of the floating-point sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 sparse FIR filter. + * @param[in] S points to an instance of the Q31 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 sparse FIR filter. + * @param[in,out] S points to an instance of the Q31 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 sparse FIR filter. + * @param[in] S points to an instance of the Q15 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 sparse FIR filter. + * @param[in,out] S points to an instance of the Q15 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q7 sparse FIR filter. + * @param[in] S points to an instance of the Q7 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q7 sparse FIR filter. + * @param[in,out] S points to an instance of the Q7 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Floating-point sin_cos function. + * @param[in] theta input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cos output. + */ + void arm_sin_cos_f32( + float32_t theta, + float32_t * pSinVal, + float32_t * pCosVal); + + + /** + * @brief Q31 sin_cos function. + * @param[in] theta scaled input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cosine output. + */ + void arm_sin_cos_q31( + q31_t theta, + q31_t * pSinVal, + q31_t * pCosVal); + + + /** + * @brief Floating-point complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @ingroup groupController + */ + + /** + * @defgroup PID PID Motor Control + * + * A Proportional Integral Derivative (PID) controller is a generic feedback control + * loop mechanism widely used in industrial control systems. + * A PID controller is the most commonly used type of feedback controller. + * + * This set of functions implements (PID) controllers + * for Q15, Q31, and floating-point data types. The functions operate on a single sample + * of data and each call to the function returns a single processed value. + * S points to an instance of the PID control data structure. in + * is the input sample value. The functions return the output value. + * + * \par Algorithm: + * 
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+   *
+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return processed output sample. + */ + __STATIC_FORCEINLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + +/** + @brief Process function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ +__STATIC_FORCEINLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31U); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + +/** + @brief Process function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ +__STATIC_FORCEINLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#if defined (ARM_MATH_DSP) + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + /** + * @} end of PID group + */ + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * src, + arm_matrix_instance_f32 * dst); + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * src, + arm_matrix_instance_f64 * dst); + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup clarke Vector Clarke Transform + * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. + * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents + * in the two-phase orthogonal stator axis Ialpha and Ibeta. + * When Ialpha is superposed with Ia as shown in the figure below + * \image html clarke.gif Stator current space vector and its components in (a,b). + * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta + * can be calculated using only Ia and Ib. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeFormula.gif + * where Ia and Ib are the instantaneous stator phases and + * pIalpha and pIbeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup clarke + * @{ + */ + + /** + * + * @brief Floating-point Clarke transform + * @param[in] Ia input three-phase coordinate a + * @param[in] Ib input three-phase coordinate b + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @return none + */ + __STATIC_FORCEINLINE void arm_clarke_f32( + float32_t Ia, + float32_t Ib, + float32_t * pIalpha, + float32_t * pIbeta) + { + /* Calculate pIalpha using the equation, pIalpha = Ia */ + *pIalpha = Ia; + + /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */ + *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib); + } + + +/** + @brief Clarke transform for Q31 version + @param[in] Ia input three-phase coordinate a + @param[in] Ib input three-phase coordinate b + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_clarke_q31( + q31_t Ia, + q31_t Ib, + q31_t * pIalpha, + q31_t * pIbeta) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIalpha from Ia by equation pIalpha = Ia */ + *pIalpha = Ia; + + /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30); + + /* Intermediate product is calculated by (2/sqrt(3) * Ib) */ + product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30); + + /* pIbeta is calculated by adding the intermediate products */ + *pIbeta = __QADD(product1, product2); + } + + /** + * @} end of clarke group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_clarke Vector Inverse Clarke Transform + * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeInvFormula.gif + * where pIa and pIb are the instantaneous stator phases and + * Ialpha and Ibeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_clarke + * @{ + */ + + /** + * @brief Floating-point Inverse Clarke transform + * @param[in] Ialpha input two-phase orthogonal vector axis alpha + * @param[in] Ibeta input two-phase orthogonal vector axis beta + * @param[out] pIa points to output three-phase coordinate a + * @param[out] pIb points to output three-phase coordinate b + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_clarke_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pIa, + float32_t * pIb) + { + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */ + *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta; + } + + +/** + @brief Inverse Clarke transform for Q31 version + @param[in] Ialpha input two-phase orthogonal vector axis alpha + @param[in] Ibeta input two-phase orthogonal vector axis beta + @param[out] pIa points to output three-phase coordinate a + @param[out] pIb points to output three-phase coordinate b + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_clarke_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pIa, + q31_t * pIb) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31); + + /* Intermediate product is calculated by (1/sqrt(3) * pIb) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31); + + /* pIb is calculated by subtracting the products */ + *pIb = __QSUB(product2, product1); + } + + /** + * @} end of inv_clarke group + */ + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup park Vector Park Transform + * + * Forward Park transform converts the input two-coordinate vector to flux and torque components. + * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents + * from the stationary to the moving reference frame and control the spatial relationship between + * the stator vector current and rotor flux vector. + * If we consider the d axis aligned with the rotor flux, the diagram below shows the + * current vector and the relationship from the two reference frames: + * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame" + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkFormula.gif + * where Ialpha and Ibeta are the stator vector components, + * pId and pIq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup park + * @{ + */ + + /** + * @brief Floating-point Park transform + * @param[in] Ialpha input two-phase vector coordinate alpha + * @param[in] Ibeta input two-phase vector coordinate beta + * @param[out] pId points to output rotor reference frame d + * @param[out] pIq points to output rotor reference frame q + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + * + * The function implements the forward Park transform. + * + */ + __STATIC_FORCEINLINE void arm_park_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pId, + float32_t * pIq, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */ + *pId = Ialpha * cosVal + Ibeta * sinVal; + + /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */ + *pIq = -Ialpha * sinVal + Ibeta * cosVal; + } + + +/** + @brief Park transform for Q31 version + @param[in] Ialpha input two-phase vector coordinate alpha + @param[in] Ibeta input two-phase vector coordinate beta + @param[out] pId points to output rotor reference frame d + @param[out] pIq points to output rotor reference frame q + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition and subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_park_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pId, + q31_t * pIq, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Ialpha * cosVal) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * sinVal) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Ialpha * sinVal) */ + product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * cosVal) */ + product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31); + + /* Calculate pId by adding the two intermediate products 1 and 2 */ + *pId = __QADD(product1, product2); + + /* Calculate pIq by subtracting the two intermediate products 3 from 4 */ + *pIq = __QSUB(product4, product3); + } + + /** + * @} end of park group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_park Vector Inverse Park transform + * Inverse Park transform converts the input flux and torque components to two-coordinate vector. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkInvFormula.gif + * where pIalpha and pIbeta are the stator vector components, + * Id and Iq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_park + * @{ + */ + + /** + * @brief Floating-point Inverse Park transform + * @param[in] Id input coordinate of rotor reference frame d + * @param[in] Iq input coordinate of rotor reference frame q + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_park_f32( + float32_t Id, + float32_t Iq, + float32_t * pIalpha, + float32_t * pIbeta, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */ + *pIalpha = Id * cosVal - Iq * sinVal; + + /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */ + *pIbeta = Id * sinVal + Iq * cosVal; + } + + +/** + @brief Inverse Park transform for Q31 version + @param[in] Id input coordinate of rotor reference frame d + @param[in] Iq input coordinate of rotor reference frame q + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_park_q31( + q31_t Id, + q31_t Iq, + q31_t * pIalpha, + q31_t * pIbeta, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Id * cosVal) */ + product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Iq * sinVal) */ + product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Id * sinVal) */ + product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Iq * cosVal) */ + product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31); + + /* Calculate pIalpha by using the two intermediate products 1 and 2 */ + *pIalpha = __QSUB(product1, product2); + + /* Calculate pIbeta by using the two intermediate products 3 and 4 */ + *pIbeta = __QADD(product4, product3); + } + + /** + * @} end of Inverse park group + */ + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup LinearInterpolate Linear Interpolation + * + * Linear interpolation is a method of curve fitting using linear polynomials. + * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line + * + * \par + * \image html LinearInterp.gif "Linear interpolation" + * + * \par + * A Linear Interpolate function calculates an output value(y), for the input(x) + * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values) + * + * \par Algorithm: + * 
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   *
+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + * S points to an instance of the Linear Interpolate function data structure. + * x is the input sample value. The functions returns the output value. + * + * \par + * if x is outside of the table boundary, Linear interpolation returns first value of the table + * if x is below input range and returns last value of table if x is above range. + */ + + /** + * @addtogroup LinearInterpolate + * @{ + */ + + /** + * @brief Process function for the floating-point Linear Interpolation Function. + * @param[in,out] S is an instance of the floating-point Linear Interpolation structure + * @param[in] x input sample to process + * @return y processed output sample. + * + */ + __STATIC_FORCEINLINE float32_t arm_linear_interp_f32( + arm_linear_interp_instance_f32 * S, + float32_t x) + { + float32_t y; + float32_t x0, x1; /* Nearest input values */ + float32_t y0, y1; /* Nearest output values */ + float32_t xSpacing = S->xSpacing; /* spacing between input values */ + int32_t i; /* Index variable */ + float32_t *pYData = S->pYData; /* pointer to output table */ + + /* Calculation of index */ + i = (int32_t) ((x - S->x1) / xSpacing); + + if (i < 0) + { + /* Iniatilize output for below specified range as least output value of table */ + y = pYData[0]; + } + else if ((uint32_t)i >= (S->nValues - 1)) + { + /* Iniatilize output for above specified range as last output value of table */ + y = pYData[S->nValues - 1]; + } + else + { + /* Calculation of nearest input values */ + x0 = S->x1 + i * xSpacing; + x1 = S->x1 + (i + 1) * xSpacing; + + /* Read of nearest output values */ + y0 = pYData[i]; + y1 = pYData[i + 1]; + + /* Calculation of output */ + y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0)); + + } + + /* returns output value */ + return (y); + } + + + /** + * + * @brief Process function for the Q31 Linear Interpolation Function. + * @param[in] pYData pointer to Q31 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q31_t arm_linear_interp_q31( + q31_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q31_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (q31_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* shift left by 11 to keep fract in 1.31 format */ + fract = (x & 0x000FFFFF) << 11; + + /* Read two nearest output values from the index in 1.31(q31) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 2.30 format */ + y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32)); + + /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */ + y += ((q31_t) (((q63_t) y1 * fract) >> 32)); + + /* Convert y to 1.31 format */ + return (y << 1U); + } + } + + + /** + * + * @brief Process function for the Q15 Linear Interpolation Function. + * @param[in] pYData pointer to Q15 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q15_t arm_linear_interp_q15( + q15_t * pYData, + q31_t x, + uint32_t nValues) + { + q63_t y; /* output */ + q15_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (int32_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 13.35 format */ + y = ((q63_t) y0 * (0xFFFFF - fract)); + + /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */ + y += ((q63_t) y1 * (fract)); + + /* convert y to 1.15 format */ + return (q15_t) (y >> 20); + } + } + + + /** + * + * @brief Process function for the Q7 Linear Interpolation Function. + * @param[in] pYData pointer to Q7 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + */ + __STATIC_FORCEINLINE q7_t arm_linear_interp_q7( + q7_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q7_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + uint32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + if (x < 0) + { + return (pYData[0]); + } + index = (x >> 20) & 0xfff; + + if (index >= (nValues - 1)) + { + return (pYData[nValues - 1]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index and are in 1.7(q7) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */ + y = ((y0 * (0xFFFFF - fract))); + + /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */ + y += (y1 * fract); + + /* convert y to 1.7(q7) format */ + return (q7_t) (y >> 20); + } + } + + /** + * @} end of LinearInterpolate group + */ + + /** + * @brief Fast approximation to the trigonometric sine function for floating-point data. + * @param[in] x input value in radians. + * @return sin(x). + */ + float32_t arm_sin_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q31_t arm_sin_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q15_t arm_sin_q15( + q15_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + float32_t arm_cos_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q31_t arm_cos_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q15_t arm_cos_q15( + q15_t x); + + +/** + @brief Floating-point vector of log values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vlog_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + +/** + @brief Floating-point vector of exp values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @ingroup groupFastMath + */ + + + /** + * @defgroup SQRT Square Root + * + * Computes the square root of a number. + * There are separate functions for Q15, Q31, and floating-point data types. + * The square root function is computed using the Newton-Raphson algorithm. + * This is an iterative algorithm of the form: + * 
+   *      x1 = x0 - f(x0)/f'(x0)
+   *
+ * where x1 is the current estimate, + * x0 is the previous estimate, and + * f'(x0) is the derivative of f() evaluated at x0. + * For the square root function, the algorithm reduces to: + * 
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   *
+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f32( + float32_t in, + float32_t * pOut) + { + if (in >= 0.0f) + { +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + *pOut = __sqrtf(in); + #else + *pOut = sqrtf(in); + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); + #else + *pOut = sqrtf(in); + #endif + +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + } + + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + /** + * @brief Vector Floating-point square root function. + * @param[in] pIn input vector. + * @param[out] pOut vector of square roots of input elements. + * @param[in] len length of input vector. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + void arm_vsqrt_f32( + float32_t * pIn, + float32_t * pOut, + uint16_t len); + + void arm_vsqrt_q31( + q31_t * pIn, + q31_t * pOut, + uint16_t len); + + void arm_vsqrt_q15( + q15_t * pIn, + q15_t * pOut, + uint16_t len); + + /** + * @} end of SQRT group + */ + + + /** + * @brief floating-point Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_f32( + int32_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const int32_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + + /** + * @brief floating-point Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_f32( + int32_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + int32_t * dst, + int32_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t rOffset; + int32_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q15 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q15( + q15_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q15_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q15 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q15( + q15_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q15_t * dst, + q15_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q15_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update wOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q7 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q7( + q7_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q7_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q7 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q7( + q7_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q7_t * dst, + q7_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q7_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Sum of the squares of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult); + + + /** + * @brief Mean value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Mean value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Variance of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Standard deviation of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Floating-point complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult); + + + /** + * @brief Q31 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult); + + + /** + * @brief Floating-point complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult); + + + /** + * @brief Q15 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q15( + const q15_t * pSrcCmplx, + const q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q31( + const q31_t * pSrcCmplx, + const q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_f32( + const float32_t * pSrcCmplx, + const float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Minimum value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] result is output pointer + * @param[in] index is the array index of the minimum value in the input buffer. + */ + void arm_min_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * result, + uint32_t * index); + + + /** + * @brief Minimum value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[in] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q7 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q15 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q31 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a floating-point vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + /** + @brief Maximum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @return none + */ + void arm_max_no_idx_f32( + const float32_t *pSrc, + uint32_t blockSize, + float32_t *pResult); + + /** + * @brief Q15 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Converts the elements of the floating-point vector to Q31 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q15 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q15 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q31 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + +/** + * @brief Struct for specifying SVM Kernel + */ +typedef enum +{ + ARM_ML_KERNEL_LINEAR = 0, + /**< Linear kernel */ + ARM_ML_KERNEL_POLYNOMIAL = 1, + /**< Polynomial kernel */ + ARM_ML_KERNEL_RBF = 2, + /**< Radial Basis Function kernel */ + ARM_ML_KERNEL_SIGMOID = 3 + /**< Sigmoid kernel */ +} arm_ml_kernel_type; + + +/** + * @brief Instance structure for linear SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ +} arm_svm_linear_instance_f32; + + +/** + * @brief Instance structure for polynomial SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + int32_t degree; /**< Polynomial degree */ + float32_t coef0; /**< Polynomial constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_polynomial_instance_f32; + +/** + * @brief Instance structure for rbf SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_rbf_instance_f32; + +/** + * @brief Instance structure for sigmoid SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t coef0; /**< Independant constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_sigmoid_instance_f32; + +/** + * @brief SVM linear instance init function + * @param[in] S Parameters for SVM functions + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @return none. + * + */ + + +void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes); + +/** + * @brief SVM linear prediction + * @param[in] S Pointer to an instance of the linear SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ + +void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM polynomial instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] degree Polynomial degree + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + + +void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + int32_t degree, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM polynomial prediction + * @param[in] S Pointer to an instance of the polynomial SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM radial basis function instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t gamma + ); + +/** + * @brief SVM rbf prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult decision value + * @return none. + * + */ +void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + +/** + * @brief SVM sigmoid instance init function + * @param[in] S points to an instance of the rbf SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM sigmoid prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + + +/** + * @brief Instance structure for Naive Gaussian Bayesian estimator. + */ +typedef struct +{ + uint32_t vectorDimension; /**< Dimension of vector space */ + uint32_t numberOfClasses; /**< Number of different classes */ + const float32_t *theta; /**< Mean values for the Gaussians */ + const float32_t *sigma; /**< Variances for the Gaussians */ + const float32_t *classPriors; /**< Class prior probabilities */ + float32_t epsilon; /**< Additive value to variances */ +} arm_gaussian_naive_bayes_instance_f32; + +/** + * @brief Naive Gaussian Bayesian Estimator + * + * @param[in] S points to a naive bayes instance structure + * @param[in] in points to the elements of the input vector. + * @param[in] pBuffer points to a buffer of length numberOfClasses + * @return The predicted class + * + */ + + +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer); + +/** + * @brief Computation of the LogSumExp + * + * In probabilistic computations, the dynamic of the probability values can be very + * wide because they come from gaussian functions. + * To avoid underflow and overflow issues, the values are represented by their log. + * In this representation, multiplying the original exp values is easy : their logs are added. + * But adding the original exp values is requiring some special handling and it is the + * goal of the LogSumExp function. + * + * If the values are x1...xn, the function is computing: + * + * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that + * rounding issues are minimised. + * + * The max xm of the values is extracted and the function is computing: + * xm + ln(exp(x1 - xm) + ... + exp(xn - xm)) + * + * @param[in] *in Pointer to an array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return LogSumExp + * + */ + + +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize); + +/** + * @brief Dot product with log arithmetic + * + * Vectors are containing the log of the samples + * + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[in] pTmpBuffer temporary buffer of length blockSize + * @return The log of the dot product . + * + */ + + +float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t *pTmpBuffer); + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize); + + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA + ,const float32_t * pSrcB + ,uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, + const float64_t * pSrcB, + uint32_t blockSize); + + +/** + * @brief Weighted sum + * + * + * @param[in] *in Array of input values. + * @param[in] *weigths Weights + * @param[in] blockSize Number of samples in the input array. + * @return Weighted sum + * + */ +float32_t arm_weighted_sum_f32(const float32_t *in + , const float32_t *weigths + , uint32_t blockSize); + + +/** + * @brief Barycenter + * + * + * @param[in] in List of vectors + * @param[in] weights Weights of the vectors + * @param[out] out Barycenter + * @param[in] nbVectors Number of vectors + * @param[in] vecDim Dimension of space (vector dimension) + * @return None + * + */ +void arm_barycenter_f32(const float32_t *in + , const float32_t *weights + , float32_t *out + , uint32_t nbVectors + , uint32_t vecDim); + +/** + * @brief Euclidean distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Bray-Curtis distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Canberra distance between two vectors + * + * This function may divide by zero when samples pA[i] and pB[i] are both zero. + * The result of the computation will be correct. So the division per zero may be + * ignored. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Chebyshev distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Cityblock (Manhattan) distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Correlation distance between two vectors + * + * The input vectors are modified in place ! + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize); + +/** + * @brief Cosine distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Jensen-Shannon distance between two vectors + * + * This function is assuming that elements of second vector are > 0 + * and 0 only when the corresponding element of first vector is 0. + * Otherwise the result of the computation does not make sense + * and for speed reasons, the cases returning NaN or Infinity are not + * managed. + * + * When the function is computing x log (x / y) with x 0 and y 0, + * it will compute the right value (0) but a division per zero will occur + * and shoudl be ignored in client code. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize); + +/** + * @brief Minkowski distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] n Norm order (>= 2) + * @param[in] blockSize vector length + * @return distance + * + */ + + + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize); + +/** + * @brief Dice distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] order Distance order + * @param[in] blockSize Number of samples + * @return distance + * + */ + + +float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Hamming distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Jaccard distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Kulsinski distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Roger Stanimoto distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Russell-Rao distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Michener distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Sneath distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Yule distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup BilinearInterpolate Bilinear Interpolation + * + * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. + * The underlying function f(x, y) is sampled on a regular grid and the interpolation process + * determines values between the grid points. + * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. + * Bilinear interpolation is often used in image processing to rescale images. + * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types. + * + * Algorithm + * \par + * The instance structure used by the bilinear interpolation functions describes a two dimensional data table. + * For floating-point, the instance structure is defined as: + * 
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   *
+ * + * \par + * where numRows specifies the number of rows in the table; + * numCols specifies the number of columns in the table; + * and pData points to an array of size numRows*numCols values. + * The data table pTable is organized in row order and the supplied data values fall on integer indexes. + * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers. + * + * \par + * Let (x, y) specify the desired interpolation point. Then define: + * 
+   *     XF = floor(x)
+   *     YF = floor(y)
+   *
+ * \par + * The interpolated output point is computed as: + * 
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   *
+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + } + + + /** + * @brief Q31 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + (int32_t)nCols * (cI) ]; + x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + (int32_t)nCols * (cI + 1) ]; + y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return ((q31_t)(acc << 2)); + } + + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0x0FFFFF - xfract)) >> 4U); + acc = ((q63_t) out * (0x0FFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0x0FFFFF - yfract)) >> 4U); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0x0FFFFF - xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return ((q15_t)(acc >> 36)); + } + + + /** + * @brief Q7 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return ((q7_t)(acc >> 40)); + } + + /** + * @} end of BilinearInterpolate group + */ + + +/* SMMLAR */ +#define multAcc_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMLSR */ +#define multSub_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMULR */ +#define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) + +/* SMMLA */ +#define multAcc_32x32_keep32(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + +/* SMMLS */ +#define multSub_32x32_keep32(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +/* SMMUL */ +#define mult_32x32_keep32(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + + +#if defined ( __CC_ARM ) + /* Enter low optimization region - place directly above function definition */ + #if defined( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("push") \ + _Pragma ("O1") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_EXIT \ + _Pragma ("pop") + #else + #define LOW_OPTIMIZATION_EXIT + #endif + + /* Enter low optimization region - place directly above function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __GNUC__ ) + #define LOW_OPTIMIZATION_ENTER \ + __attribute__(( optimize("-O1") )) + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __ICCARM__ ) + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define LOW_OPTIMIZATION_EXIT + + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TI_ARM__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __CSMC__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TASKING__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT +#endif + + + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) +#pragma GCC diagnostic pop + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_MATH_H */ + +/** + * + * End of file. + */ diff --git a/Firmware/cmsis/cm4/core_support/arm_mve_tables.h b/Firmware/cmsis/cm4/core_support/arm_mve_tables.h new file mode 100644 index 0000000..c07f988 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_mve_tables.h @@ -0,0 +1,235 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables.h + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * $Date: 08. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + #ifndef _ARM_MVE_TABLES_H + #define _ARM_MVE_TABLES_H + + #include "arm_math.h" + + + + + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]; +extern float32_t rearranged_twiddle_stride1_16_f32[8]; +extern float32_t rearranged_twiddle_stride2_16_f32[8]; +extern float32_t rearranged_twiddle_stride3_16_f32[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]; +extern float32_t rearranged_twiddle_stride1_64_f32[40]; +extern float32_t rearranged_twiddle_stride2_64_f32[40]; +extern float32_t rearranged_twiddle_stride3_64_f32[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]; +extern float32_t rearranged_twiddle_stride1_256_f32[168]; +extern float32_t rearranged_twiddle_stride2_256_f32[168]; +extern float32_t rearranged_twiddle_stride3_256_f32[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]; +extern float32_t rearranged_twiddle_stride1_1024_f32[680]; +extern float32_t rearranged_twiddle_stride2_1024_f32[680]; +extern float32_t rearranged_twiddle_stride3_1024_f32[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6]; +extern float32_t rearranged_twiddle_stride1_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride2_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride3_4096_f32[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]; +extern q31_t rearranged_twiddle_stride1_16_q31[8]; +extern q31_t rearranged_twiddle_stride2_16_q31[8]; +extern q31_t rearranged_twiddle_stride3_16_q31[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]; +extern q31_t rearranged_twiddle_stride1_64_q31[40]; +extern q31_t rearranged_twiddle_stride2_64_q31[40]; +extern q31_t rearranged_twiddle_stride3_64_q31[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]; +extern q31_t rearranged_twiddle_stride1_256_q31[168]; +extern q31_t rearranged_twiddle_stride2_256_q31[168]; +extern q31_t rearranged_twiddle_stride3_256_q31[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]; +extern q31_t rearranged_twiddle_stride1_1024_q31[680]; +extern q31_t rearranged_twiddle_stride2_1024_q31[680]; +extern q31_t rearranged_twiddle_stride3_1024_q31[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]; +extern q31_t rearranged_twiddle_stride1_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride2_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride3_4096_q31[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]; +extern q15_t rearranged_twiddle_stride1_16_q15[8]; +extern q15_t rearranged_twiddle_stride2_16_q15[8]; +extern q15_t rearranged_twiddle_stride3_16_q15[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]; +extern q15_t rearranged_twiddle_stride1_64_q15[40]; +extern q15_t rearranged_twiddle_stride2_64_q15[40]; +extern q15_t rearranged_twiddle_stride3_64_q15[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]; +extern q15_t rearranged_twiddle_stride1_256_q15[168]; +extern q15_t rearranged_twiddle_stride2_256_q15[168]; +extern q15_t rearranged_twiddle_stride3_256_q15[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]; +extern q15_t rearranged_twiddle_stride1_1024_q15[680]; +extern q15_t rearranged_twiddle_stride2_1024_q15[680]; +extern q15_t rearranged_twiddle_stride3_1024_q15[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]; +extern q15_t rearranged_twiddle_stride1_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride2_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride3_4096_q15[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#endif /*_ARM_MVE_TABLES_H*/ + diff --git a/Firmware/cmsis/cm4/core_support/arm_vec_math.h b/Firmware/cmsis/cm4/core_support/arm_vec_math.h new file mode 100644 index 0000000..0ce9464 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/arm_vec_math.h @@ -0,0 +1,372 @@ +/****************************************************************************** + * @file arm_vec_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 15. October 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_MATH_H +#define _ARM_VEC_MATH_H + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define INV_NEWTON_INIT_F32 0x7EF127EA + +static const float32_t __logf_rng_f32=0.693147180f; + + +/* fast inverse approximation (3x newton) */ +__STATIC_INLINE f32x4_t vrecip_medprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +/* fast inverse approximation (4x newton) */ +__STATIC_INLINE f32x4_t vrecip_hiprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +__STATIC_INLINE f32x4_t vdiv_f32( + f32x4_t num, f32x4_t den) +{ + return vmulq(num, vrecip_hiprec_f32(den)); +} + +/** + @brief Single-precision taylor dev. + @param[in] x f32 quad vector input + @param[in] coeffs f32 quad vector coeffs + @return destination f32 quad vector + */ + +__STATIC_INLINE f32x4_t vtaylor_polyq_f32( + f32x4_t x, + const float32_t * coeffs) +{ + f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]); + f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]); + f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]); + f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]); + f32x4_t x2 = vmulq(x, x); + f32x4_t x4 = vmulq(x2, x2); + f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4); + + return res; +} + +__STATIC_INLINE f32x4_t vmant_exp_f32( + f32x4_t x, + int32x4_t * e) +{ + any32x4_t r; + int32x4_t n; + + r.f = x; + n = r.i >> 23; + n = n - 127; + r.i = r.i - (n << 23); + + *e = n; + return r.f; +} + + +__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn) +{ + q31x4_t vecExpUnBiased; + f32x4_t vecTmpFlt0, vecTmpFlt1; + f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3; + f32x4_t vecExpUnBiasedFlt; + + /* + * extract exponent + */ + vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased); + + vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1; + /* + * a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]); + */ + vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]); + vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]); + /* + * b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]); + */ + vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]); + vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]); + /* + * c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]); + */ + vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]); + vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]); + /* + * d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]); + */ + vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]); + vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]); + /* + * a = a + b * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0); + /* + * c = c + d * xx; + */ + vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0); + /* + * xx = xx * xx; + */ + vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0; + vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased); + /* + * r.f = a + c * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0); + /* + * add exponent + * r.f = r.f + ((float32_t) m) * __logf_rng_f32; + */ + vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32); + // set log0 down to -inf + vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f)); + return vecAcc0; +} + +__STATIC_INLINE f32x4_t vexpq_f32( + f32x4_t x) +{ + // Perform range reduction [-log(2),log(2)] + int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f)); + f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f)); + + // Polynomial Approximation + f32x4_t poly = vtaylor_polyq_f32(val, exp_tab); + + // Reconstruct + poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23))); + + poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126)); + return poly; +} + +__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb) +{ + f32x4_t r = x; + nb--; + while (nb > 0) { + r = vmulq(r, x); + nb--; + } + return (r); +} + +__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn) +{ + f32x4_t vecSx, vecW, vecTmp; + any32x4_t v; + + vecSx = vabsq(vecIn); + + v.f = vecIn; + v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i); + + vecW = vmulq(vecSx, v.f); + + // v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w))))))); + vecTmp = vsubq(vdupq_n_f32(8.0f), vecW); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -70.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 8.0f); + v.f = vmulq(v.f, vecTmp); + + v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f)); + /* + * restore sign + */ + v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f)); + return v.f; +} + +__STATIC_INLINE f32x4_t vtanhq_f32( + f32x4_t val) +{ + f32x4_t x = + vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f)); + f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f)); + f32x4_t num = vsubq_n_f32(exp2x, 1.f); + f32x4_t den = vaddq_n_f32(exp2x, 1.f); + f32x4_t tanh = vmulq_f32(num, vrecip_f32(den)); + return tanh; +} + +__STATIC_INLINE f32x4_t vpowq_f32( + f32x4_t val, + f32x4_t n) +{ + return vexpq_f32(vmulq_f32(n, vlogq_f32(val))); +} + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" +/** + * @brief Vectorized integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb) +{ + float32x4_t r = x; + nb --; + while(nb > 0) + { + r = vmulq_f32(r , x); + nb--; + } + return(r); +} + + +__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x) +{ + float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN)); + float32x4_t e = vrsqrteq_f32(x1); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + return vmulq_f32(x, e); +} + +__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec) +{ + float32x4_t tempF; + int32x4_t tempHI,tempLO; + + tempLO = vmovl_s16(vget_low_s16(vec)); + tempF = vcvtq_n_f32_s32(tempLO,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempLO = vcvtq_n_s32_f32(tempF,15); + + tempHI = vmovl_s16(vget_high_s16(vec)); + tempF = vcvtq_n_f32_s32(tempHI,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempHI = vcvtq_n_s32_f32(tempF,15); + + return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI))); +} + +__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec) +{ + float32x4_t temp; + + temp = vcvtq_n_f32_s32(vec,31); + temp = __arm_vec_sqrt_f32_neon(temp); + return(vcvtq_n_s32_f32(temp,31)); +} + +#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_MATH_H */ + +/** + * + * End of file. + */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_armcc.h b/Firmware/cmsis/cm4/core_support/cmsis_armcc.h new file mode 100644 index 0000000..9570d36 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_armcc.h @@ -0,0 +1,885 @@ +/****************************************************************************** + * @file cmsis_armcc.h + * @brief CMSIS compiler ARMCC (Arm Compiler 5) header file + * @version V5.2.1 + * @date 26. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2009-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef __CMSIS_ARMCC_H +#define __CMSIS_ARMCC_H + + +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 400677) + #error "Please use Arm Compiler Toolchain V4.0.677 or later!" +#endif + +/* CMSIS compiler control architecture macros */ +#if ((defined (__TARGET_ARCH_6_M ) && (__TARGET_ARCH_6_M == 1)) || \ + (defined (__TARGET_ARCH_6S_M ) && (__TARGET_ARCH_6S_M == 1)) ) + #define __ARM_ARCH_6M__ 1 +#endif + +#if (defined (__TARGET_ARCH_7_M ) && (__TARGET_ARCH_7_M == 1)) + #define __ARM_ARCH_7M__ 1 +#endif + +#if (defined (__TARGET_ARCH_7E_M) && (__TARGET_ARCH_7E_M == 1)) + #define __ARM_ARCH_7EM__ 1 +#endif + + /* __ARM_ARCH_8M_BASE__ not applicable */ + /* __ARM_ARCH_8M_MAIN__ not applicable */ + /* __ARM_ARCH_8_1M_MAIN__ not applicable */ + +/* CMSIS compiler control DSP macros */ +#if ((defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) + #define __ARM_FEATURE_DSP 1 +#endif + +/* CMSIS compiler specific defines */ +#ifndef __ASM + #define __ASM __asm +#endif +#ifndef __INLINE + #define __INLINE __inline +#endif +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static __inline +#endif +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE static __forceinline +#endif +#ifndef __NO_RETURN + #define __NO_RETURN __declspec(noreturn) +#endif +#ifndef __USED + #define __USED __attribute__((used)) +#endif +#ifndef __WEAK + #define __WEAK __attribute__((weak)) +#endif +#ifndef __PACKED + #define __PACKED __attribute__((packed)) +#endif +#ifndef __PACKED_STRUCT + #define __PACKED_STRUCT __packed struct +#endif +#ifndef __PACKED_UNION + #define __PACKED_UNION __packed union +#endif +#ifndef __UNALIGNED_UINT32 /* deprecated */ + #define __UNALIGNED_UINT32(x) (*((__packed uint32_t *)(x))) +#endif +#ifndef __UNALIGNED_UINT16_WRITE + #define __UNALIGNED_UINT16_WRITE(addr, val) ((*((__packed uint16_t *)(addr))) = (val)) +#endif +#ifndef __UNALIGNED_UINT16_READ + #define __UNALIGNED_UINT16_READ(addr) (*((const __packed uint16_t *)(addr))) +#endif +#ifndef __UNALIGNED_UINT32_WRITE + #define __UNALIGNED_UINT32_WRITE(addr, val) ((*((__packed uint32_t *)(addr))) = (val)) +#endif +#ifndef __UNALIGNED_UINT32_READ + #define __UNALIGNED_UINT32_READ(addr) (*((const __packed uint32_t *)(addr))) +#endif +#ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) +#endif +#ifndef __RESTRICT + #define __RESTRICT __restrict +#endif +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __memory_changed() +#endif + +/* ######################### Startup and Lowlevel Init ######################## */ + +#ifndef __PROGRAM_START +#define __PROGRAM_START __main +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP Image$$ARM_LIB_STACK$$ZI$$Limit +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT Image$$ARM_LIB_STACK$$ZI$$Base +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __Vectors +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section("RESET"))) +#endif + +/* ########################### Core Function Access ########################### */ +/** \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions + @{ + */ + +/** + \brief Enable IRQ Interrupts + \details Enables IRQ interrupts by clearing the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __enable_irq(); */ + + +/** + \brief Disable IRQ Interrupts + \details Disables IRQ interrupts by setting the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __disable_irq(); */ + +/** + \brief Get Control Register + \details Returns the content of the Control Register. + \return Control Register value + */ +__STATIC_INLINE uint32_t __get_CONTROL(void) +{ + register uint32_t __regControl __ASM("control"); + return(__regControl); +} + + +/** + \brief Set Control Register + \details Writes the given value to the Control Register. + \param [in] control Control Register value to set + */ +__STATIC_INLINE void __set_CONTROL(uint32_t control) +{ + register uint32_t __regControl __ASM("control"); + __regControl = control; +} + + +/** + \brief Get IPSR Register + \details Returns the content of the IPSR Register. + \return IPSR Register value + */ +__STATIC_INLINE uint32_t __get_IPSR(void) +{ + register uint32_t __regIPSR __ASM("ipsr"); + return(__regIPSR); +} + + +/** + \brief Get APSR Register + \details Returns the content of the APSR Register. + \return APSR Register value + */ +__STATIC_INLINE uint32_t __get_APSR(void) +{ + register uint32_t __regAPSR __ASM("apsr"); + return(__regAPSR); +} + + +/** + \brief Get xPSR Register + \details Returns the content of the xPSR Register. + \return xPSR Register value + */ +__STATIC_INLINE uint32_t __get_xPSR(void) +{ + register uint32_t __regXPSR __ASM("xpsr"); + return(__regXPSR); +} + + +/** + \brief Get Process Stack Pointer + \details Returns the current value of the Process Stack Pointer (PSP). + \return PSP Register value + */ +__STATIC_INLINE uint32_t __get_PSP(void) +{ + register uint32_t __regProcessStackPointer __ASM("psp"); + return(__regProcessStackPointer); +} + + +/** + \brief Set Process Stack Pointer + \details Assigns the given value to the Process Stack Pointer (PSP). + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_INLINE void __set_PSP(uint32_t topOfProcStack) +{ + register uint32_t __regProcessStackPointer __ASM("psp"); + __regProcessStackPointer = topOfProcStack; +} + + +/** + \brief Get Main Stack Pointer + \details Returns the current value of the Main Stack Pointer (MSP). + \return MSP Register value + */ +__STATIC_INLINE uint32_t __get_MSP(void) +{ + register uint32_t __regMainStackPointer __ASM("msp"); + return(__regMainStackPointer); +} + + +/** + \brief Set Main Stack Pointer + \details Assigns the given value to the Main Stack Pointer (MSP). + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_INLINE void __set_MSP(uint32_t topOfMainStack) +{ + register uint32_t __regMainStackPointer __ASM("msp"); + __regMainStackPointer = topOfMainStack; +} + + +/** + \brief Get Priority Mask + \details Returns the current state of the priority mask bit from the Priority Mask Register. + \return Priority Mask value + */ +__STATIC_INLINE uint32_t __get_PRIMASK(void) +{ + register uint32_t __regPriMask __ASM("primask"); + return(__regPriMask); +} + + +/** + \brief Set Priority Mask + \details Assigns the given value to the Priority Mask Register. + \param [in] priMask Priority Mask + */ +__STATIC_INLINE void __set_PRIMASK(uint32_t priMask) +{ + register uint32_t __regPriMask __ASM("primask"); + __regPriMask = (priMask); +} + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) + +/** + \brief Enable FIQ + \details Enables FIQ interrupts by clearing the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __enable_fault_irq __enable_fiq + + +/** + \brief Disable FIQ + \details Disables FIQ interrupts by setting the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __disable_fault_irq __disable_fiq + + +/** + \brief Get Base Priority + \details Returns the current value of the Base Priority register. + \return Base Priority register value + */ +__STATIC_INLINE uint32_t __get_BASEPRI(void) +{ + register uint32_t __regBasePri __ASM("basepri"); + return(__regBasePri); +} + + +/** + \brief Set Base Priority + \details Assigns the given value to the Base Priority register. + \param [in] basePri Base Priority value to set + */ +__STATIC_INLINE void __set_BASEPRI(uint32_t basePri) +{ + register uint32_t __regBasePri __ASM("basepri"); + __regBasePri = (basePri & 0xFFU); +} + + +/** + \brief Set Base Priority with condition + \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, + or the new value increases the BASEPRI priority level. + \param [in] basePri Base Priority value to set + */ +__STATIC_INLINE void __set_BASEPRI_MAX(uint32_t basePri) +{ + register uint32_t __regBasePriMax __ASM("basepri_max"); + __regBasePriMax = (basePri & 0xFFU); +} + + +/** + \brief Get Fault Mask + \details Returns the current value of the Fault Mask register. + \return Fault Mask register value + */ +__STATIC_INLINE uint32_t __get_FAULTMASK(void) +{ + register uint32_t __regFaultMask __ASM("faultmask"); + return(__regFaultMask); +} + + +/** + \brief Set Fault Mask + \details Assigns the given value to the Fault Mask register. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_INLINE void __set_FAULTMASK(uint32_t faultMask) +{ + register uint32_t __regFaultMask __ASM("faultmask"); + __regFaultMask = (faultMask & (uint32_t)1U); +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) */ + + +/** + \brief Get FPSCR + \details Returns the current value of the Floating Point Status/Control register. + \return Floating Point Status/Control register value + */ +__STATIC_INLINE uint32_t __get_FPSCR(void) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) + register uint32_t __regfpscr __ASM("fpscr"); + return(__regfpscr); +#else + return(0U); +#endif +} + + +/** + \brief Set FPSCR + \details Assigns the given value to the Floating Point Status/Control register. + \param [in] fpscr Floating Point Status/Control value to set + */ +__STATIC_INLINE void __set_FPSCR(uint32_t fpscr) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) + register uint32_t __regfpscr __ASM("fpscr"); + __regfpscr = (fpscr); +#else + (void)fpscr; +#endif +} + + +/*@} end of CMSIS_Core_RegAccFunctions */ + + +/* ########################## Core Instruction Access ######################### */ +/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface + Access to dedicated instructions + @{ +*/ + +/** + \brief No Operation + \details No Operation does nothing. This instruction can be used for code alignment purposes. + */ +#define __NOP __nop + + +/** + \brief Wait For Interrupt + \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. + */ +#define __WFI __wfi + + +/** + \brief Wait For Event + \details Wait For Event is a hint instruction that permits the processor to enter + a low-power state until one of a number of events occurs. + */ +#define __WFE __wfe + + +/** + \brief Send Event + \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. + */ +#define __SEV __sev + + +/** + \brief Instruction Synchronization Barrier + \details Instruction Synchronization Barrier flushes the pipeline in the processor, + so that all instructions following the ISB are fetched from cache or memory, + after the instruction has been completed. + */ +#define __ISB() __isb(0xF) + +/** + \brief Data Synchronization Barrier + \details Acts as a special kind of Data Memory Barrier. + It completes when all explicit memory accesses before this instruction complete. + */ +#define __DSB() __dsb(0xF) + +/** + \brief Data Memory Barrier + \details Ensures the apparent order of the explicit memory operations before + and after the instruction, without ensuring their completion. + */ +#define __DMB() __dmb(0xF) + + +/** + \brief Reverse byte order (32 bit) + \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REV __rev + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. + \param [in] value Value to reverse + \return Reversed value + */ +#ifndef __NO_EMBEDDED_ASM +__attribute__((section(".rev16_text"))) __STATIC_INLINE __ASM uint32_t __REV16(uint32_t value) +{ + rev16 r0, r0 + bx lr +} +#endif + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. + \param [in] value Value to reverse + \return Reversed value + */ +#ifndef __NO_EMBEDDED_ASM +__attribute__((section(".revsh_text"))) __STATIC_INLINE __ASM int16_t __REVSH(int16_t value) +{ + revsh r0, r0 + bx lr +} +#endif + + +/** + \brief Rotate Right in unsigned value (32 bit) + \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. + \param [in] op1 Value to rotate + \param [in] op2 Number of Bits to rotate + \return Rotated value + */ +#define __ROR __ror + + +/** + \brief Breakpoint + \details Causes the processor to enter Debug state. + Debug tools can use this to investigate system state when the instruction at a particular address is reached. + \param [in] value is ignored by the processor. + If required, a debugger can use it to store additional information about the breakpoint. + */ +#define __BKPT(value) __breakpoint(value) + + +/** + \brief Reverse bit order of value + \details Reverses the bit order of the given value. + \param [in] value Value to reverse + \return Reversed value + */ +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) + #define __RBIT __rbit +#else +__attribute__((always_inline)) __STATIC_INLINE uint32_t __RBIT(uint32_t value) +{ + uint32_t result; + uint32_t s = (4U /*sizeof(v)*/ * 8U) - 1U; /* extra shift needed at end */ + + result = value; /* r will be reversed bits of v; first get LSB of v */ + for (value >>= 1U; value != 0U; value >>= 1U) + { + result <<= 1U; + result |= value & 1U; + s--; + } + result <<= s; /* shift when v's highest bits are zero */ + return result; +} +#endif + + +/** + \brief Count leading zeros + \details Counts the number of leading zeros of a data value. + \param [in] value Value to count the leading zeros + \return number of leading zeros in value + */ +#define __CLZ __clz + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) + +/** + \brief LDR Exclusive (8 bit) + \details Executes a exclusive LDR instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __LDREXB(ptr) ((uint8_t ) __ldrex(ptr)) +#else + #define __LDREXB(ptr) _Pragma("push") _Pragma("diag_suppress 3731") ((uint8_t ) __ldrex(ptr)) _Pragma("pop") +#endif + + +/** + \brief LDR Exclusive (16 bit) + \details Executes a exclusive LDR instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __LDREXH(ptr) ((uint16_t) __ldrex(ptr)) +#else + #define __LDREXH(ptr) _Pragma("push") _Pragma("diag_suppress 3731") ((uint16_t) __ldrex(ptr)) _Pragma("pop") +#endif + + +/** + \brief LDR Exclusive (32 bit) + \details Executes a exclusive LDR instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __LDREXW(ptr) ((uint32_t ) __ldrex(ptr)) +#else + #define __LDREXW(ptr) _Pragma("push") _Pragma("diag_suppress 3731") ((uint32_t ) __ldrex(ptr)) _Pragma("pop") +#endif + + +/** + \brief STR Exclusive (8 bit) + \details Executes a exclusive STR instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __STREXB(value, ptr) __strex(value, ptr) +#else + #define __STREXB(value, ptr) _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr) _Pragma("pop") +#endif + + +/** + \brief STR Exclusive (16 bit) + \details Executes a exclusive STR instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __STREXH(value, ptr) __strex(value, ptr) +#else + #define __STREXH(value, ptr) _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr) _Pragma("pop") +#endif + + +/** + \brief STR Exclusive (32 bit) + \details Executes a exclusive STR instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION < 5060020) + #define __STREXW(value, ptr) __strex(value, ptr) +#else + #define __STREXW(value, ptr) _Pragma("push") _Pragma("diag_suppress 3731") __strex(value, ptr) _Pragma("pop") +#endif + + +/** + \brief Remove the exclusive lock + \details Removes the exclusive lock which is created by LDREX. + */ +#define __CLREX __clrex + + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +#define __SSAT __ssat + + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +#define __USAT __usat + + +/** + \brief Rotate Right with Extend (32 bit) + \details Moves each bit of a bitstring right by one bit. + The carry input is shifted in at the left end of the bitstring. + \param [in] value Value to rotate + \return Rotated value + */ +#ifndef __NO_EMBEDDED_ASM +__attribute__((section(".rrx_text"))) __STATIC_INLINE __ASM uint32_t __RRX(uint32_t value) +{ + rrx r0, r0 + bx lr +} +#endif + + +/** + \brief LDRT Unprivileged (8 bit) + \details Executes a Unprivileged LDRT instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#define __LDRBT(ptr) ((uint8_t ) __ldrt(ptr)) + + +/** + \brief LDRT Unprivileged (16 bit) + \details Executes a Unprivileged LDRT instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#define __LDRHT(ptr) ((uint16_t) __ldrt(ptr)) + + +/** + \brief LDRT Unprivileged (32 bit) + \details Executes a Unprivileged LDRT instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#define __LDRT(ptr) ((uint32_t ) __ldrt(ptr)) + + +/** + \brief STRT Unprivileged (8 bit) + \details Executes a Unprivileged STRT instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +#define __STRBT(value, ptr) __strt(value, ptr) + + +/** + \brief STRT Unprivileged (16 bit) + \details Executes a Unprivileged STRT instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +#define __STRHT(value, ptr) __strt(value, ptr) + + +/** + \brief STRT Unprivileged (32 bit) + \details Executes a Unprivileged STRT instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +#define __STRT(value, ptr) __strt(value, ptr) + +#else /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) */ + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +__attribute__((always_inline)) __STATIC_INLINE int32_t __SSAT(int32_t val, uint32_t sat) +{ + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; +} + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +__attribute__((always_inline)) __STATIC_INLINE uint32_t __USAT(int32_t val, uint32_t sat) +{ + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) */ + +/*@}*/ /* end of group CMSIS_Core_InstructionInterface */ + + +/* ################### Compiler specific Intrinsics ########################### */ +/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics + Access to dedicated SIMD instructions + @{ +*/ + +#if ((defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) + +#define __SADD8 __sadd8 +#define __QADD8 __qadd8 +#define __SHADD8 __shadd8 +#define __UADD8 __uadd8 +#define __UQADD8 __uqadd8 +#define __UHADD8 __uhadd8 +#define __SSUB8 __ssub8 +#define __QSUB8 __qsub8 +#define __SHSUB8 __shsub8 +#define __USUB8 __usub8 +#define __UQSUB8 __uqsub8 +#define __UHSUB8 __uhsub8 +#define __SADD16 __sadd16 +#define __QADD16 __qadd16 +#define __SHADD16 __shadd16 +#define __UADD16 __uadd16 +#define __UQADD16 __uqadd16 +#define __UHADD16 __uhadd16 +#define __SSUB16 __ssub16 +#define __QSUB16 __qsub16 +#define __SHSUB16 __shsub16 +#define __USUB16 __usub16 +#define __UQSUB16 __uqsub16 +#define __UHSUB16 __uhsub16 +#define __SASX __sasx +#define __QASX __qasx +#define __SHASX __shasx +#define __UASX __uasx +#define __UQASX __uqasx +#define __UHASX __uhasx +#define __SSAX __ssax +#define __QSAX __qsax +#define __SHSAX __shsax +#define __USAX __usax +#define __UQSAX __uqsax +#define __UHSAX __uhsax +#define __USAD8 __usad8 +#define __USADA8 __usada8 +#define __SSAT16 __ssat16 +#define __USAT16 __usat16 +#define __UXTB16 __uxtb16 +#define __UXTAB16 __uxtab16 +#define __SXTB16 __sxtb16 +#define __SXTAB16 __sxtab16 +#define __SMUAD __smuad +#define __SMUADX __smuadx +#define __SMLAD __smlad +#define __SMLADX __smladx +#define __SMLALD __smlald +#define __SMLALDX __smlaldx +#define __SMUSD __smusd +#define __SMUSDX __smusdx +#define __SMLSD __smlsd +#define __SMLSDX __smlsdx +#define __SMLSLD __smlsld +#define __SMLSLDX __smlsldx +#define __SEL __sel +#define __QADD __qadd +#define __QSUB __qsub + +#define __PKHBT(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0x0000FFFFUL) | \ + ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL) ) + +#define __PKHTB(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0xFFFF0000UL) | \ + ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL) ) + +#define __SMMLA(ARG1,ARG2,ARG3) ( (int32_t)((((int64_t)(ARG1) * (ARG2)) + \ + ((int64_t)(ARG3) << 32U) ) >> 32U)) + +#define __SXTB16_RORn(ARG1, ARG2) __SXTB16(__ROR(ARG1, ARG2)) + +#endif /* ((defined (__ARM_ARCH_7EM__) && (__ARM_ARCH_7EM__ == 1)) ) */ +/*@} end of group CMSIS_SIMD_intrinsics */ + + +#endif /* __CMSIS_ARMCC_H */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_armclang.h b/Firmware/cmsis/cm4/core_support/cmsis_armclang.h new file mode 100644 index 0000000..b466ba4 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_armclang.h @@ -0,0 +1,1467 @@ +/****************************************************************************** + * @file cmsis_armclang.h + * @brief CMSIS compiler armclang (Arm Compiler 6) header file + * @version V5.3.1 + * @date 26. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2009-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/*lint -esym(9058, IRQn)*/ /* disable MISRA 2012 Rule 2.4 for IRQn */ + +#ifndef __CMSIS_ARMCLANG_H +#define __CMSIS_ARMCLANG_H + +#pragma clang system_header /* treat file as system include file */ + +#ifndef __ARM_COMPAT_H +#include /* Compatibility header for Arm Compiler 5 intrinsics */ +#endif + +/* CMSIS compiler specific defines */ +#ifndef __ASM + #define __ASM __asm +#endif +#ifndef __INLINE + #define __INLINE __inline +#endif +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static __inline +#endif +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __attribute__((always_inline)) static __inline +#endif +#ifndef __NO_RETURN + #define __NO_RETURN __attribute__((__noreturn__)) +#endif +#ifndef __USED + #define __USED __attribute__((used)) +#endif +#ifndef __WEAK + #define __WEAK __attribute__((weak)) +#endif +#ifndef __PACKED + #define __PACKED __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed, aligned(1))) +#endif +#ifndef __UNALIGNED_UINT32 /* deprecated */ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32 */ + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) +#endif +#ifndef __UNALIGNED_UINT16_WRITE + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT16_WRITE)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT16_WRITE */ + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT16_READ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT16_READ)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT16_READ */ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) +#endif +#ifndef __UNALIGNED_UINT32_WRITE + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32_WRITE)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32_WRITE */ + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT32_READ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32_READ)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32_READ */ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) +#endif +#ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) +#endif +#ifndef __RESTRICT + #define __RESTRICT __restrict +#endif +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __ASM volatile("":::"memory") +#endif + +/* ######################### Startup and Lowlevel Init ######################## */ + +#ifndef __PROGRAM_START +#define __PROGRAM_START __main +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP Image$$ARM_LIB_STACK$$ZI$$Limit +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT Image$$ARM_LIB_STACK$$ZI$$Base +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __Vectors +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section("RESET"))) +#endif + +/* ########################### Core Function Access ########################### */ +/** \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions + @{ + */ + +/** + \brief Enable IRQ Interrupts + \details Enables IRQ interrupts by clearing the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __enable_irq(); see arm_compat.h */ + + +/** + \brief Disable IRQ Interrupts + \details Disables IRQ interrupts by setting the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __disable_irq(); see arm_compat.h */ + + +/** + \brief Get Control Register + \details Returns the content of the Control Register. + \return Control Register value + */ +__STATIC_FORCEINLINE uint32_t __get_CONTROL(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Control Register (non-secure) + \details Returns the content of the non-secure Control Register when in secure mode. + \return non-secure Control Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_CONTROL_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Control Register + \details Writes the given value to the Control Register. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __set_CONTROL(uint32_t control) +{ + __ASM volatile ("MSR control, %0" : : "r" (control) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Control Register (non-secure) + \details Writes the given value to the non-secure Control Register when in secure state. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __TZ_set_CONTROL_NS(uint32_t control) +{ + __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory"); +} +#endif + + +/** + \brief Get IPSR Register + \details Returns the content of the IPSR Register. + \return IPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_IPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, ipsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get APSR Register + \details Returns the content of the APSR Register. + \return APSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_APSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, apsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get xPSR Register + \details Returns the content of the xPSR Register. + \return xPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_xPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, xpsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get Process Stack Pointer + \details Returns the current value of the Process Stack Pointer (PSP). + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer (non-secure) + \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state. + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Process Stack Pointer + \details Assigns the given value to the Process Stack Pointer (PSP). + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_PSP(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state. + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : ); +} +#endif + + +/** + \brief Get Main Stack Pointer + \details Returns the current value of the Main Stack Pointer (MSP). + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer (non-secure) + \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state. + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Main Stack Pointer + \details Assigns the given value to the Main Stack Pointer (MSP). + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_MSP(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state. + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : ); +} +#endif + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Stack Pointer (non-secure) + \details Returns the current value of the non-secure Stack Pointer (SP) when in secure state. + \return SP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_SP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, sp_ns" : "=r" (result) ); + return(result); +} + + +/** + \brief Set Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Stack Pointer (SP) when in secure state. + \param [in] topOfStack Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_SP_NS(uint32_t topOfStack) +{ + __ASM volatile ("MSR sp_ns, %0" : : "r" (topOfStack) : ); +} +#endif + + +/** + \brief Get Priority Mask + \details Returns the current state of the priority mask bit from the Priority Mask Register. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __get_PRIMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Priority Mask (non-secure) + \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PRIMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Priority Mask + \details Assigns the given value to the Priority Mask Register. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __set_PRIMASK(uint32_t priMask) +{ + __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Priority Mask (non-secure) + \details Assigns the given value to the non-secure Priority Mask Register when in secure state. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __TZ_set_PRIMASK_NS(uint32_t priMask) +{ + __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory"); +} +#endif + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) +/** + \brief Enable FIQ + \details Enables FIQ interrupts by clearing the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __enable_fault_irq __enable_fiq /* see arm_compat.h */ + + +/** + \brief Disable FIQ + \details Disables FIQ interrupts by setting the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __disable_fault_irq __disable_fiq /* see arm_compat.h */ + + +/** + \brief Get Base Priority + \details Returns the current value of the Base Priority register. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __get_BASEPRI(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Base Priority (non-secure) + \details Returns the current value of the non-secure Base Priority register when in secure state. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_BASEPRI_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Base Priority + \details Assigns the given value to the Base Priority register. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI(uint32_t basePri) +{ + __ASM volatile ("MSR basepri, %0" : : "r" (basePri) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Base Priority (non-secure) + \details Assigns the given value to the non-secure Base Priority register when in secure state. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __TZ_set_BASEPRI_NS(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_ns, %0" : : "r" (basePri) : "memory"); +} +#endif + + +/** + \brief Set Base Priority with condition + \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, + or the new value increases the BASEPRI priority level. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI_MAX(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_max, %0" : : "r" (basePri) : "memory"); +} + + +/** + \brief Get Fault Mask + \details Returns the current value of the Fault Mask register. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __get_FAULTMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Fault Mask (non-secure) + \details Returns the current value of the non-secure Fault Mask register when in secure state. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_FAULTMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Fault Mask + \details Assigns the given value to the Fault Mask register. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __set_FAULTMASK(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Fault Mask (non-secure) + \details Assigns the given value to the non-secure Fault Mask register when in secure state. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory"); +} +#endif + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) + +/** + \brief Get Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Process Stack Pointer Limit (PSPLIM). + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSPLIM(void) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim" : "=r" (result) ); + return result; +#endif +} + +#if (defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSPLIM_NS(void) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) ) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM). + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) ) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit)); +#endif +} +#endif + + +/** + \brief Get Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the Main Stack Pointer Limit (MSPLIM). + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSPLIM(void) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim" : "=r" (result) ); + return result; +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state. + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSPLIM_NS(void) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) ) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM). + \param [in] MainStackPtrLimit Main Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_MSPLIM(uint32_t MainStackPtrLimit) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state. + \param [in] MainStackPtrLimit Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit) +{ +#if (!((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__ ) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) ) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit)); +#endif +} +#endif + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + +/** + \brief Get FPSCR + \details Returns the current value of the Floating Point Status/Control register. + \return Floating Point Status/Control register value + */ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#define __get_FPSCR (uint32_t)__builtin_arm_get_fpscr +#else +#define __get_FPSCR() ((uint32_t)0U) +#endif + +/** + \brief Set FPSCR + \details Assigns the given value to the Floating Point Status/Control register. + \param [in] fpscr Floating Point Status/Control value to set + */ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#define __set_FPSCR __builtin_arm_set_fpscr +#else +#define __set_FPSCR(x) ((void)(x)) +#endif + + +/*@} end of CMSIS_Core_RegAccFunctions */ + + +/* ########################## Core Instruction Access ######################### */ +/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface + Access to dedicated instructions + @{ +*/ + +/* Define macros for porting to both thumb1 and thumb2. + * For thumb1, use low register (r0-r7), specified by constraint "l" + * Otherwise, use general registers, specified by constraint "r" */ +#if defined (__thumb__) && !defined (__thumb2__) +#define __CMSIS_GCC_OUT_REG(r) "=l" (r) +#define __CMSIS_GCC_RW_REG(r) "+l" (r) +#define __CMSIS_GCC_USE_REG(r) "l" (r) +#else +#define __CMSIS_GCC_OUT_REG(r) "=r" (r) +#define __CMSIS_GCC_RW_REG(r) "+r" (r) +#define __CMSIS_GCC_USE_REG(r) "r" (r) +#endif + +/** + \brief No Operation + \details No Operation does nothing. This instruction can be used for code alignment purposes. + */ +#define __NOP __builtin_arm_nop + +/** + \brief Wait For Interrupt + \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. + */ +#define __WFI __builtin_arm_wfi + + +/** + \brief Wait For Event + \details Wait For Event is a hint instruction that permits the processor to enter + a low-power state until one of a number of events occurs. + */ +#define __WFE __builtin_arm_wfe + + +/** + \brief Send Event + \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. + */ +#define __SEV __builtin_arm_sev + + +/** + \brief Instruction Synchronization Barrier + \details Instruction Synchronization Barrier flushes the pipeline in the processor, + so that all instructions following the ISB are fetched from cache or memory, + after the instruction has been completed. + */ +#define __ISB() __builtin_arm_isb(0xF) + +/** + \brief Data Synchronization Barrier + \details Acts as a special kind of Data Memory Barrier. + It completes when all explicit memory accesses before this instruction complete. + */ +#define __DSB() __builtin_arm_dsb(0xF) + + +/** + \brief Data Memory Barrier + \details Ensures the apparent order of the explicit memory operations before + and after the instruction, without ensuring their completion. + */ +#define __DMB() __builtin_arm_dmb(0xF) + + +/** + \brief Reverse byte order (32 bit) + \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REV(value) __builtin_bswap32(value) + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REV16(value) __ROR(__REV(value), 16) + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REVSH(value) (int16_t)__builtin_bswap16(value) + + +/** + \brief Rotate Right in unsigned value (32 bit) + \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. + \param [in] op1 Value to rotate + \param [in] op2 Number of Bits to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) +{ + op2 %= 32U; + if (op2 == 0U) + { + return op1; + } + return (op1 >> op2) | (op1 << (32U - op2)); +} + + +/** + \brief Breakpoint + \details Causes the processor to enter Debug state. + Debug tools can use this to investigate system state when the instruction at a particular address is reached. + \param [in] value is ignored by the processor. + If required, a debugger can use it to store additional information about the breakpoint. + */ +#define __BKPT(value) __ASM volatile ("bkpt "#value) + + +/** + \brief Reverse bit order of value + \details Reverses the bit order of the given value. + \param [in] value Value to reverse + \return Reversed value + */ +#define __RBIT __builtin_arm_rbit + +/** + \brief Count leading zeros + \details Counts the number of leading zeros of a data value. + \param [in] value Value to count the leading zeros + \return number of leading zeros in value + */ +__STATIC_FORCEINLINE uint8_t __CLZ(uint32_t value) +{ + /* Even though __builtin_clz produces a CLZ instruction on ARM, formally + __builtin_clz(0) is undefined behaviour, so handle this case specially. + This guarantees ARM-compatible results if happening to compile on a non-ARM + target, and ensures the compiler doesn't decide to activate any + optimisations using the logic "value was passed to __builtin_clz, so it + is non-zero". + ARM Compiler 6.10 and possibly earlier will optimise this test away, leaving a + single CLZ instruction. + */ + if (value == 0U) + { + return 32U; + } + return __builtin_clz(value); +} + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) + +/** + \brief LDR Exclusive (8 bit) + \details Executes a exclusive LDR instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#define __LDREXB (uint8_t)__builtin_arm_ldrex + + +/** + \brief LDR Exclusive (16 bit) + \details Executes a exclusive LDR instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#define __LDREXH (uint16_t)__builtin_arm_ldrex + + +/** + \brief LDR Exclusive (32 bit) + \details Executes a exclusive LDR instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#define __LDREXW (uint32_t)__builtin_arm_ldrex + + +/** + \brief STR Exclusive (8 bit) + \details Executes a exclusive STR instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXB (uint32_t)__builtin_arm_strex + + +/** + \brief STR Exclusive (16 bit) + \details Executes a exclusive STR instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXH (uint32_t)__builtin_arm_strex + + +/** + \brief STR Exclusive (32 bit) + \details Executes a exclusive STR instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXW (uint32_t)__builtin_arm_strex + + +/** + \brief Remove the exclusive lock + \details Removes the exclusive lock which is created by LDREX. + */ +#define __CLREX __builtin_arm_clrex + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +#define __SSAT __builtin_arm_ssat + + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +#define __USAT __builtin_arm_usat + + +/** + \brief Rotate Right with Extend (32 bit) + \details Moves each bit of a bitstring right by one bit. + The carry input is shifted in at the left end of the bitstring. + \param [in] value Value to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __RRX(uint32_t value) +{ + uint32_t result; + + __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return(result); +} + + +/** + \brief LDRT Unprivileged (8 bit) + \details Executes a Unprivileged LDRT instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDRBT(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (16 bit) + \details Executes a Unprivileged LDRT instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDRHT(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) ); + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (32 bit) + \details Executes a Unprivileged LDRT instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDRT(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return(result); +} + + +/** + \brief STRT Unprivileged (8 bit) + \details Executes a Unprivileged STRT instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRBT(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (16 bit) + \details Executes a Unprivileged STRT instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRHT(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (32 bit) + \details Executes a Unprivileged STRT instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRT(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) ); +} + +#else /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +__STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) +{ + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; +} + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +__STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) +{ + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) + +/** + \brief Load-Acquire (8 bit) + \details Executes a LDAB instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire (16 bit) + \details Executes a LDAH instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire (32 bit) + \details Executes a LDA instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDA(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release (8 bit) + \details Executes a STLB instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLB(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (16 bit) + \details Executes a STLH instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLH(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (32 bit) + \details Executes a STL instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STL(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Load-Acquire Exclusive (8 bit) + \details Executes a LDAB exclusive instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#define __LDAEXB (uint8_t)__builtin_arm_ldaex + + +/** + \brief Load-Acquire Exclusive (16 bit) + \details Executes a LDAH exclusive instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#define __LDAEXH (uint16_t)__builtin_arm_ldaex + + +/** + \brief Load-Acquire Exclusive (32 bit) + \details Executes a LDA exclusive instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#define __LDAEX (uint32_t)__builtin_arm_ldaex + + +/** + \brief Store-Release Exclusive (8 bit) + \details Executes a STLB exclusive instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEXB (uint32_t)__builtin_arm_stlex + + +/** + \brief Store-Release Exclusive (16 bit) + \details Executes a STLH exclusive instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEXH (uint32_t)__builtin_arm_stlex + + +/** + \brief Store-Release Exclusive (32 bit) + \details Executes a STL exclusive instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEX (uint32_t)__builtin_arm_stlex + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) || \ + (defined (__ARM_ARCH_8_1M_MAIN__) && (__ARM_ARCH_8_1M_MAIN__ == 1)) ) */ + +/*@}*/ /* end of group CMSIS_Core_InstructionInterface */ + + +/* ################### Compiler specific Intrinsics ########################### */ +/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics + Access to dedicated SIMD instructions + @{ +*/ + +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + +#define __SADD8 __builtin_arm_sadd8 +#define __QADD8 __builtin_arm_qadd8 +#define __SHADD8 __builtin_arm_shadd8 +#define __UADD8 __builtin_arm_uadd8 +#define __UQADD8 __builtin_arm_uqadd8 +#define __UHADD8 __builtin_arm_uhadd8 +#define __SSUB8 __builtin_arm_ssub8 +#define __QSUB8 __builtin_arm_qsub8 +#define __SHSUB8 __builtin_arm_shsub8 +#define __USUB8 __builtin_arm_usub8 +#define __UQSUB8 __builtin_arm_uqsub8 +#define __UHSUB8 __builtin_arm_uhsub8 +#define __SADD16 __builtin_arm_sadd16 +#define __QADD16 __builtin_arm_qadd16 +#define __SHADD16 __builtin_arm_shadd16 +#define __UADD16 __builtin_arm_uadd16 +#define __UQADD16 __builtin_arm_uqadd16 +#define __UHADD16 __builtin_arm_uhadd16 +#define __SSUB16 __builtin_arm_ssub16 +#define __QSUB16 __builtin_arm_qsub16 +#define __SHSUB16 __builtin_arm_shsub16 +#define __USUB16 __builtin_arm_usub16 +#define __UQSUB16 __builtin_arm_uqsub16 +#define __UHSUB16 __builtin_arm_uhsub16 +#define __SASX __builtin_arm_sasx +#define __QASX __builtin_arm_qasx +#define __SHASX __builtin_arm_shasx +#define __UASX __builtin_arm_uasx +#define __UQASX __builtin_arm_uqasx +#define __UHASX __builtin_arm_uhasx +#define __SSAX __builtin_arm_ssax +#define __QSAX __builtin_arm_qsax +#define __SHSAX __builtin_arm_shsax +#define __USAX __builtin_arm_usax +#define __UQSAX __builtin_arm_uqsax +#define __UHSAX __builtin_arm_uhsax +#define __USAD8 __builtin_arm_usad8 +#define __USADA8 __builtin_arm_usada8 +#define __SSAT16 __builtin_arm_ssat16 +#define __USAT16 __builtin_arm_usat16 +#define __UXTB16 __builtin_arm_uxtb16 +#define __UXTAB16 __builtin_arm_uxtab16 +#define __SXTB16 __builtin_arm_sxtb16 +#define __SXTAB16 __builtin_arm_sxtab16 +#define __SMUAD __builtin_arm_smuad +#define __SMUADX __builtin_arm_smuadx +#define __SMLAD __builtin_arm_smlad +#define __SMLADX __builtin_arm_smladx +#define __SMLALD __builtin_arm_smlald +#define __SMLALDX __builtin_arm_smlaldx +#define __SMUSD __builtin_arm_smusd +#define __SMUSDX __builtin_arm_smusdx +#define __SMLSD __builtin_arm_smlsd +#define __SMLSDX __builtin_arm_smlsdx +#define __SMLSLD __builtin_arm_smlsld +#define __SMLSLDX __builtin_arm_smlsldx +#define __SEL __builtin_arm_sel +#define __QADD __builtin_arm_qadd +#define __QSUB __builtin_arm_qsub + +#define __PKHBT(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0x0000FFFFUL) | \ + ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL) ) + +#define __PKHTB(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0xFFFF0000UL) | \ + ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL) ) + +#define __SXTB16_RORn(ARG1, ARG2) __SXTB16(__ROR(ARG1, ARG2)) + +__STATIC_FORCEINLINE int32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3) +{ + int32_t result; + + __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#endif /* (__ARM_FEATURE_DSP == 1) */ +/*@} end of group CMSIS_SIMD_intrinsics */ + + +#endif /* __CMSIS_ARMCLANG_H */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_armclang_ltm.h b/Firmware/cmsis/cm4/core_support/cmsis_armclang_ltm.h new file mode 100644 index 0000000..e0c5b94 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_armclang_ltm.h @@ -0,0 +1,1893 @@ +/****************************************************************************** + * @file cmsis_armclang_ltm.h + * @brief CMSIS compiler armclang (Arm Compiler 6) header file + * @version V1.3.0 + * @date 26. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2018-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/*lint -esym(9058, IRQn)*/ /* disable MISRA 2012 Rule 2.4 for IRQn */ + +#ifndef __CMSIS_ARMCLANG_H +#define __CMSIS_ARMCLANG_H + +#pragma clang system_header /* treat file as system include file */ + +#ifndef __ARM_COMPAT_H +#include /* Compatibility header for Arm Compiler 5 intrinsics */ +#endif + +/* CMSIS compiler specific defines */ +#ifndef __ASM + #define __ASM __asm +#endif +#ifndef __INLINE + #define __INLINE __inline +#endif +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static __inline +#endif +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __attribute__((always_inline)) static __inline +#endif +#ifndef __NO_RETURN + #define __NO_RETURN __attribute__((__noreturn__)) +#endif +#ifndef __USED + #define __USED __attribute__((used)) +#endif +#ifndef __WEAK + #define __WEAK __attribute__((weak)) +#endif +#ifndef __PACKED + #define __PACKED __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed, aligned(1))) +#endif +#ifndef __UNALIGNED_UINT32 /* deprecated */ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32 */ + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) +#endif +#ifndef __UNALIGNED_UINT16_WRITE + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT16_WRITE)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT16_WRITE */ + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT16_READ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT16_READ)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT16_READ */ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) +#endif +#ifndef __UNALIGNED_UINT32_WRITE + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32_WRITE)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32_WRITE */ + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT32_READ + #pragma clang diagnostic push + #pragma clang diagnostic ignored "-Wpacked" +/*lint -esym(9058, T_UINT32_READ)*/ /* disable MISRA 2012 Rule 2.4 for T_UINT32_READ */ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #pragma clang diagnostic pop + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) +#endif +#ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) +#endif +#ifndef __RESTRICT + #define __RESTRICT __restrict +#endif +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __ASM volatile("":::"memory") +#endif + +/* ######################### Startup and Lowlevel Init ######################## */ + +#ifndef __PROGRAM_START +#define __PROGRAM_START __main +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP Image$$ARM_LIB_STACK$$ZI$$Limit +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT Image$$ARM_LIB_STACK$$ZI$$Base +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __Vectors +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section("RESET"))) +#endif + + +/* ########################### Core Function Access ########################### */ +/** \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions + @{ + */ + +/** + \brief Enable IRQ Interrupts + \details Enables IRQ interrupts by clearing the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __enable_irq(); see arm_compat.h */ + + +/** + \brief Disable IRQ Interrupts + \details Disables IRQ interrupts by setting the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +/* intrinsic void __disable_irq(); see arm_compat.h */ + + +/** + \brief Get Control Register + \details Returns the content of the Control Register. + \return Control Register value + */ +__STATIC_FORCEINLINE uint32_t __get_CONTROL(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Control Register (non-secure) + \details Returns the content of the non-secure Control Register when in secure mode. + \return non-secure Control Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_CONTROL_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Control Register + \details Writes the given value to the Control Register. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __set_CONTROL(uint32_t control) +{ + __ASM volatile ("MSR control, %0" : : "r" (control) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Control Register (non-secure) + \details Writes the given value to the non-secure Control Register when in secure state. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __TZ_set_CONTROL_NS(uint32_t control) +{ + __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory"); +} +#endif + + +/** + \brief Get IPSR Register + \details Returns the content of the IPSR Register. + \return IPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_IPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, ipsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get APSR Register + \details Returns the content of the APSR Register. + \return APSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_APSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, apsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get xPSR Register + \details Returns the content of the xPSR Register. + \return xPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_xPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, xpsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get Process Stack Pointer + \details Returns the current value of the Process Stack Pointer (PSP). + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer (non-secure) + \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state. + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Process Stack Pointer + \details Assigns the given value to the Process Stack Pointer (PSP). + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_PSP(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state. + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : ); +} +#endif + + +/** + \brief Get Main Stack Pointer + \details Returns the current value of the Main Stack Pointer (MSP). + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer (non-secure) + \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state. + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Main Stack Pointer + \details Assigns the given value to the Main Stack Pointer (MSP). + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_MSP(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state. + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : ); +} +#endif + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Stack Pointer (non-secure) + \details Returns the current value of the non-secure Stack Pointer (SP) when in secure state. + \return SP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_SP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, sp_ns" : "=r" (result) ); + return(result); +} + + +/** + \brief Set Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Stack Pointer (SP) when in secure state. + \param [in] topOfStack Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_SP_NS(uint32_t topOfStack) +{ + __ASM volatile ("MSR sp_ns, %0" : : "r" (topOfStack) : ); +} +#endif + + +/** + \brief Get Priority Mask + \details Returns the current state of the priority mask bit from the Priority Mask Register. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __get_PRIMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Priority Mask (non-secure) + \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PRIMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Priority Mask + \details Assigns the given value to the Priority Mask Register. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __set_PRIMASK(uint32_t priMask) +{ + __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Priority Mask (non-secure) + \details Assigns the given value to the non-secure Priority Mask Register when in secure state. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __TZ_set_PRIMASK_NS(uint32_t priMask) +{ + __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory"); +} +#endif + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) +/** + \brief Enable FIQ + \details Enables FIQ interrupts by clearing the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __enable_fault_irq __enable_fiq /* see arm_compat.h */ + + +/** + \brief Disable FIQ + \details Disables FIQ interrupts by setting the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +#define __disable_fault_irq __disable_fiq /* see arm_compat.h */ + + +/** + \brief Get Base Priority + \details Returns the current value of the Base Priority register. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __get_BASEPRI(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Base Priority (non-secure) + \details Returns the current value of the non-secure Base Priority register when in secure state. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_BASEPRI_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Base Priority + \details Assigns the given value to the Base Priority register. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI(uint32_t basePri) +{ + __ASM volatile ("MSR basepri, %0" : : "r" (basePri) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Base Priority (non-secure) + \details Assigns the given value to the non-secure Base Priority register when in secure state. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __TZ_set_BASEPRI_NS(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_ns, %0" : : "r" (basePri) : "memory"); +} +#endif + + +/** + \brief Set Base Priority with condition + \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, + or the new value increases the BASEPRI priority level. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI_MAX(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_max, %0" : : "r" (basePri) : "memory"); +} + + +/** + \brief Get Fault Mask + \details Returns the current value of the Fault Mask register. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __get_FAULTMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Fault Mask (non-secure) + \details Returns the current value of the non-secure Fault Mask register when in secure state. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_FAULTMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Fault Mask + \details Assigns the given value to the Fault Mask register. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __set_FAULTMASK(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Fault Mask (non-secure) + \details Assigns the given value to the non-secure Fault Mask register when in secure state. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory"); +} +#endif + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) + +/** + \brief Get Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Process Stack Pointer Limit (PSPLIM). + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim" : "=r" (result) ); + return result; +#endif +} + +#if (defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM). + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit)); +#endif +} +#endif + + +/** + \brief Get Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the Main Stack Pointer Limit (MSPLIM). + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim" : "=r" (result) ); + return result; +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state. + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM). + \param [in] MainStackPtrLimit Main Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_MSPLIM(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state. + \param [in] MainStackPtrLimit Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit)); +#endif +} +#endif + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + +/** + \brief Get FPSCR + \details Returns the current value of the Floating Point Status/Control register. + \return Floating Point Status/Control register value + */ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#define __get_FPSCR (uint32_t)__builtin_arm_get_fpscr +#else +#define __get_FPSCR() ((uint32_t)0U) +#endif + +/** + \brief Set FPSCR + \details Assigns the given value to the Floating Point Status/Control register. + \param [in] fpscr Floating Point Status/Control value to set + */ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#define __set_FPSCR __builtin_arm_set_fpscr +#else +#define __set_FPSCR(x) ((void)(x)) +#endif + + +/*@} end of CMSIS_Core_RegAccFunctions */ + + +/* ########################## Core Instruction Access ######################### */ +/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface + Access to dedicated instructions + @{ +*/ + +/* Define macros for porting to both thumb1 and thumb2. + * For thumb1, use low register (r0-r7), specified by constraint "l" + * Otherwise, use general registers, specified by constraint "r" */ +#if defined (__thumb__) && !defined (__thumb2__) +#define __CMSIS_GCC_OUT_REG(r) "=l" (r) +#define __CMSIS_GCC_USE_REG(r) "l" (r) +#else +#define __CMSIS_GCC_OUT_REG(r) "=r" (r) +#define __CMSIS_GCC_USE_REG(r) "r" (r) +#endif + +/** + \brief No Operation + \details No Operation does nothing. This instruction can be used for code alignment purposes. + */ +#define __NOP __builtin_arm_nop + +/** + \brief Wait For Interrupt + \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. + */ +#define __WFI __builtin_arm_wfi + + +/** + \brief Wait For Event + \details Wait For Event is a hint instruction that permits the processor to enter + a low-power state until one of a number of events occurs. + */ +#define __WFE __builtin_arm_wfe + + +/** + \brief Send Event + \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. + */ +#define __SEV __builtin_arm_sev + + +/** + \brief Instruction Synchronization Barrier + \details Instruction Synchronization Barrier flushes the pipeline in the processor, + so that all instructions following the ISB are fetched from cache or memory, + after the instruction has been completed. + */ +#define __ISB() __builtin_arm_isb(0xF) + +/** + \brief Data Synchronization Barrier + \details Acts as a special kind of Data Memory Barrier. + It completes when all explicit memory accesses before this instruction complete. + */ +#define __DSB() __builtin_arm_dsb(0xF) + + +/** + \brief Data Memory Barrier + \details Ensures the apparent order of the explicit memory operations before + and after the instruction, without ensuring their completion. + */ +#define __DMB() __builtin_arm_dmb(0xF) + + +/** + \brief Reverse byte order (32 bit) + \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REV(value) __builtin_bswap32(value) + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REV16(value) __ROR(__REV(value), 16) + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. + \param [in] value Value to reverse + \return Reversed value + */ +#define __REVSH(value) (int16_t)__builtin_bswap16(value) + + +/** + \brief Rotate Right in unsigned value (32 bit) + \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. + \param [in] op1 Value to rotate + \param [in] op2 Number of Bits to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) +{ + op2 %= 32U; + if (op2 == 0U) + { + return op1; + } + return (op1 >> op2) | (op1 << (32U - op2)); +} + + +/** + \brief Breakpoint + \details Causes the processor to enter Debug state. + Debug tools can use this to investigate system state when the instruction at a particular address is reached. + \param [in] value is ignored by the processor. + If required, a debugger can use it to store additional information about the breakpoint. + */ +#define __BKPT(value) __ASM volatile ("bkpt "#value) + + +/** + \brief Reverse bit order of value + \details Reverses the bit order of the given value. + \param [in] value Value to reverse + \return Reversed value + */ +#define __RBIT __builtin_arm_rbit + +/** + \brief Count leading zeros + \details Counts the number of leading zeros of a data value. + \param [in] value Value to count the leading zeros + \return number of leading zeros in value + */ +__STATIC_FORCEINLINE uint8_t __CLZ(uint32_t value) +{ + /* Even though __builtin_clz produces a CLZ instruction on ARM, formally + __builtin_clz(0) is undefined behaviour, so handle this case specially. + This guarantees ARM-compatible results if happening to compile on a non-ARM + target, and ensures the compiler doesn't decide to activate any + optimisations using the logic "value was passed to __builtin_clz, so it + is non-zero". + ARM Compiler 6.10 and possibly earlier will optimise this test away, leaving a + single CLZ instruction. + */ + if (value == 0U) + { + return 32U; + } + return __builtin_clz(value); +} + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief LDR Exclusive (8 bit) + \details Executes a exclusive LDR instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#define __LDREXB (uint8_t)__builtin_arm_ldrex + + +/** + \brief LDR Exclusive (16 bit) + \details Executes a exclusive LDR instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#define __LDREXH (uint16_t)__builtin_arm_ldrex + + +/** + \brief LDR Exclusive (32 bit) + \details Executes a exclusive LDR instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#define __LDREXW (uint32_t)__builtin_arm_ldrex + + +/** + \brief STR Exclusive (8 bit) + \details Executes a exclusive STR instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXB (uint32_t)__builtin_arm_strex + + +/** + \brief STR Exclusive (16 bit) + \details Executes a exclusive STR instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXH (uint32_t)__builtin_arm_strex + + +/** + \brief STR Exclusive (32 bit) + \details Executes a exclusive STR instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STREXW (uint32_t)__builtin_arm_strex + + +/** + \brief Remove the exclusive lock + \details Removes the exclusive lock which is created by LDREX. + */ +#define __CLREX __builtin_arm_clrex + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +#define __SSAT __builtin_arm_ssat + + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +#define __USAT __builtin_arm_usat + + +/** + \brief Rotate Right with Extend (32 bit) + \details Moves each bit of a bitstring right by one bit. + The carry input is shifted in at the left end of the bitstring. + \param [in] value Value to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __RRX(uint32_t value) +{ + uint32_t result; + + __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return(result); +} + + +/** + \brief LDRT Unprivileged (8 bit) + \details Executes a Unprivileged LDRT instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDRBT(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (16 bit) + \details Executes a Unprivileged LDRT instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDRHT(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) ); + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (32 bit) + \details Executes a Unprivileged LDRT instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDRT(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return(result); +} + + +/** + \brief STRT Unprivileged (8 bit) + \details Executes a Unprivileged STRT instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRBT(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (16 bit) + \details Executes a Unprivileged STRT instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRHT(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (32 bit) + \details Executes a Unprivileged STRT instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRT(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) ); +} + +#else /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +__STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) +{ + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; +} + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +__STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) +{ + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief Load-Acquire (8 bit) + \details Executes a LDAB instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire (16 bit) + \details Executes a LDAH instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire (32 bit) + \details Executes a LDA instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDA(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release (8 bit) + \details Executes a STLB instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLB(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (16 bit) + \details Executes a STLH instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLH(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (32 bit) + \details Executes a STL instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STL(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Load-Acquire Exclusive (8 bit) + \details Executes a LDAB exclusive instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +#define __LDAEXB (uint8_t)__builtin_arm_ldaex + + +/** + \brief Load-Acquire Exclusive (16 bit) + \details Executes a LDAH exclusive instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +#define __LDAEXH (uint16_t)__builtin_arm_ldaex + + +/** + \brief Load-Acquire Exclusive (32 bit) + \details Executes a LDA exclusive instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +#define __LDAEX (uint32_t)__builtin_arm_ldaex + + +/** + \brief Store-Release Exclusive (8 bit) + \details Executes a STLB exclusive instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEXB (uint32_t)__builtin_arm_stlex + + +/** + \brief Store-Release Exclusive (16 bit) + \details Executes a STLH exclusive instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEXH (uint32_t)__builtin_arm_stlex + + +/** + \brief Store-Release Exclusive (32 bit) + \details Executes a STL exclusive instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +#define __STLEX (uint32_t)__builtin_arm_stlex + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + +/*@}*/ /* end of group CMSIS_Core_InstructionInterface */ + + +/* ################### Compiler specific Intrinsics ########################### */ +/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics + Access to dedicated SIMD instructions + @{ +*/ + +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + +__STATIC_FORCEINLINE uint32_t __SADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#define __SSAT16(ARG1,ARG2) \ +({ \ + int32_t __RES, __ARG1 = (ARG1); \ + __ASM ("ssat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) ); \ + __RES; \ + }) + +#define __USAT16(ARG1,ARG2) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1); \ + __ASM ("usat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) ); \ + __RES; \ + }) + +__STATIC_FORCEINLINE uint32_t __UXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM volatile ("uxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM volatile ("sxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUAD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SMUSD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SEL (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QADD( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QSUB( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +#define __PKHBT(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0x0000FFFFUL) | \ + ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL) ) + +#define __PKHTB(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0xFFFF0000UL) | \ + ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL) ) + +#define __SXTB16_RORn(ARG1, ARG2) __SXTB16(__ROR(ARG1, ARG2)) + +__STATIC_FORCEINLINE int32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3) +{ + int32_t result; + + __ASM volatile ("smmla %0, %1, %2, %3" : "=r" (result): "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#endif /* (__ARM_FEATURE_DSP == 1) */ +/*@} end of group CMSIS_SIMD_intrinsics */ + + +#endif /* __CMSIS_ARMCLANG_H */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_compiler.h b/Firmware/cmsis/cm4/core_support/cmsis_compiler.h new file mode 100644 index 0000000..8d3ab97 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_compiler.h @@ -0,0 +1,283 @@ +/****************************************************************************** + * @file cmsis_compiler.h + * @brief CMSIS compiler generic header file + * @version V5.1.0 + * @date 09. October 2018 + ******************************************************************************/ +/* + * Copyright (c) 2009-2018 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef __CMSIS_COMPILER_H +#define __CMSIS_COMPILER_H + +#include + +/* + * Arm Compiler 4/5 + */ +#if defined ( __CC_ARM ) + #include "cmsis_armcc.h" + + +/* + * Arm Compiler 6.6 LTM (armclang) + */ +#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050) && (__ARMCC_VERSION < 6100100) + #include "cmsis_armclang_ltm.h" + + /* + * Arm Compiler above 6.10.1 (armclang) + */ +#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) + #include "cmsis_armclang.h" + + +/* + * GNU Compiler + */ +#elif defined ( __GNUC__ ) + #include "cmsis_gcc.h" + + +/* + * IAR Compiler + */ +#elif defined ( __ICCARM__ ) + #include + + +/* + * TI Arm Compiler + */ +#elif defined ( __TI_ARM__ ) + #include + + #ifndef __ASM + #define __ASM __asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + #define __NO_RETURN __attribute__((noreturn)) + #endif + #ifndef __USED + #define __USED __attribute__((used)) + #endif + #ifndef __WEAK + #define __WEAK __attribute__((weak)) + #endif + #ifndef __PACKED + #define __PACKED __attribute__((packed)) + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed)) + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed)) + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void*)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) + #endif + #ifndef __RESTRICT + #define __RESTRICT __restrict + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +/* + * TASKING Compiler + */ +#elif defined ( __TASKING__ ) + /* + * The CMSIS functions have been implemented as intrinsics in the compiler. + * Please use "carm -?i" to get an up to date list of all intrinsics, + * Including the CMSIS ones. + */ + + #ifndef __ASM + #define __ASM __asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + #define __NO_RETURN __attribute__((noreturn)) + #endif + #ifndef __USED + #define __USED __attribute__((used)) + #endif + #ifndef __WEAK + #define __WEAK __attribute__((weak)) + #endif + #ifndef __PACKED + #define __PACKED __packed__ + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __packed__ + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION union __packed__ + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + struct __packed__ T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #define __ALIGNED(x) __align(x) + #endif + #ifndef __RESTRICT + #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. + #define __RESTRICT + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +/* + * COSMIC Compiler + */ +#elif defined ( __CSMC__ ) + #include + + #ifndef __ASM + #define __ASM _asm + #endif + #ifndef __INLINE + #define __INLINE inline + #endif + #ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline + #endif + #ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __STATIC_INLINE + #endif + #ifndef __NO_RETURN + // NO RETURN is automatically detected hence no warning here + #define __NO_RETURN + #endif + #ifndef __USED + #warning No compiler specific solution for __USED. __USED is ignored. + #define __USED + #endif + #ifndef __WEAK + #define __WEAK __weak + #endif + #ifndef __PACKED + #define __PACKED @packed + #endif + #ifndef __PACKED_STRUCT + #define __PACKED_STRUCT @packed struct + #endif + #ifndef __PACKED_UNION + #define __PACKED_UNION @packed union + #endif + #ifndef __UNALIGNED_UINT32 /* deprecated */ + @packed struct T_UINT32 { uint32_t v; }; + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) + #endif + #ifndef __UNALIGNED_UINT16_WRITE + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT16_READ + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) + #endif + #ifndef __UNALIGNED_UINT32_WRITE + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) + #endif + #ifndef __UNALIGNED_UINT32_READ + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) + #endif + #ifndef __ALIGNED + #warning No compiler specific solution for __ALIGNED. __ALIGNED is ignored. + #define __ALIGNED(x) + #endif + #ifndef __RESTRICT + #warning No compiler specific solution for __RESTRICT. __RESTRICT is ignored. + #define __RESTRICT + #endif + #ifndef __COMPILER_BARRIER + #warning No compiler specific solution for __COMPILER_BARRIER. __COMPILER_BARRIER is ignored. + #define __COMPILER_BARRIER() (void)0 + #endif + + +#else + #error Unknown compiler. +#endif + + +#endif /* __CMSIS_COMPILER_H */ + diff --git a/Firmware/cmsis/cm4/core_support/cmsis_gcc.h b/Firmware/cmsis/cm4/core_support/cmsis_gcc.h new file mode 100644 index 0000000..683ce0f --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_gcc.h @@ -0,0 +1,2177 @@ +/****************************************************************************** + * @file cmsis_gcc.h + * @brief CMSIS compiler GCC header file + * @version V5.3.0 + * @date 26. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2009-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef __CMSIS_GCC_H +#define __CMSIS_GCC_H + +/* ignore some GCC warnings */ +#pragma GCC diagnostic push +#pragma GCC diagnostic ignored "-Wsign-conversion" +#pragma GCC diagnostic ignored "-Wconversion" +#pragma GCC diagnostic ignored "-Wunused-parameter" + +/* Fallback for __has_builtin */ +#ifndef __has_builtin + #define __has_builtin(x) (0) +#endif + +/* CMSIS compiler specific defines */ +#ifndef __ASM + #define __ASM __asm +#endif +#ifndef __INLINE + #define __INLINE inline +#endif +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline +#endif +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __attribute__((always_inline)) static inline +#endif +#ifndef __NO_RETURN + #define __NO_RETURN __attribute__((__noreturn__)) +#endif +#ifndef __USED + #define __USED __attribute__((used)) +#endif +#ifndef __WEAK + #define __WEAK __attribute__((weak)) +#endif +#ifndef __PACKED + #define __PACKED __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_STRUCT + #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) +#endif +#ifndef __PACKED_UNION + #define __PACKED_UNION union __attribute__((packed, aligned(1))) +#endif +#ifndef __UNALIGNED_UINT32 /* deprecated */ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + struct __attribute__((packed)) T_UINT32 { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32(x) (((struct T_UINT32 *)(x))->v) +#endif +#ifndef __UNALIGNED_UINT16_WRITE + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT16_WRITE { uint16_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT16_WRITE(addr, val) (void)((((struct T_UINT16_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT16_READ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT16_READ { uint16_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT16_READ(addr) (((const struct T_UINT16_READ *)(const void *)(addr))->v) +#endif +#ifndef __UNALIGNED_UINT32_WRITE + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT32_WRITE { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32_WRITE(addr, val) (void)((((struct T_UINT32_WRITE *)(void *)(addr))->v) = (val)) +#endif +#ifndef __UNALIGNED_UINT32_READ + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wpacked" + #pragma GCC diagnostic ignored "-Wattributes" + __PACKED_STRUCT T_UINT32_READ { uint32_t v; }; + #pragma GCC diagnostic pop + #define __UNALIGNED_UINT32_READ(addr) (((const struct T_UINT32_READ *)(const void *)(addr))->v) +#endif +#ifndef __ALIGNED + #define __ALIGNED(x) __attribute__((aligned(x))) +#endif +#ifndef __RESTRICT + #define __RESTRICT __restrict +#endif +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __ASM volatile("":::"memory") +#endif + +/* ######################### Startup and Lowlevel Init ######################## */ + +#ifndef __PROGRAM_START + +/** + \brief Initializes data and bss sections + \details This default implementations initialized all data and additional bss + sections relying on .copy.table and .zero.table specified properly + in the used linker script. + + */ +__STATIC_FORCEINLINE __NO_RETURN void __cmsis_start(void) +{ + extern void _start(void) __NO_RETURN; + + typedef struct { + uint32_t const* src; + uint32_t* dest; + uint32_t wlen; + } __copy_table_t; + + typedef struct { + uint32_t* dest; + uint32_t wlen; + } __zero_table_t; + + extern const __copy_table_t __copy_table_start__; + extern const __copy_table_t __copy_table_end__; + extern const __zero_table_t __zero_table_start__; + extern const __zero_table_t __zero_table_end__; + + for (__copy_table_t const* pTable = &__copy_table_start__; pTable < &__copy_table_end__; ++pTable) { + for(uint32_t i=0u; iwlen; ++i) { + pTable->dest[i] = pTable->src[i]; + } + } + + for (__zero_table_t const* pTable = &__zero_table_start__; pTable < &__zero_table_end__; ++pTable) { + for(uint32_t i=0u; iwlen; ++i) { + pTable->dest[i] = 0u; + } + } + + _start(); +} + +#define __PROGRAM_START __cmsis_start +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP __StackTop +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT __StackLimit +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __Vectors +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE __attribute__((used, section(".vectors"))) +#endif + +/* ########################### Core Function Access ########################### */ +/** \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_RegAccFunctions CMSIS Core Register Access Functions + @{ + */ + +/** + \brief Enable IRQ Interrupts + \details Enables IRQ interrupts by clearing the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __enable_irq(void) +{ + __ASM volatile ("cpsie i" : : : "memory"); +} + + +/** + \brief Disable IRQ Interrupts + \details Disables IRQ interrupts by setting the I-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __disable_irq(void) +{ + __ASM volatile ("cpsid i" : : : "memory"); +} + + +/** + \brief Get Control Register + \details Returns the content of the Control Register. + \return Control Register value + */ +__STATIC_FORCEINLINE uint32_t __get_CONTROL(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Control Register (non-secure) + \details Returns the content of the non-secure Control Register when in secure mode. + \return non-secure Control Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_CONTROL_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, control_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Control Register + \details Writes the given value to the Control Register. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __set_CONTROL(uint32_t control) +{ + __ASM volatile ("MSR control, %0" : : "r" (control) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Control Register (non-secure) + \details Writes the given value to the non-secure Control Register when in secure state. + \param [in] control Control Register value to set + */ +__STATIC_FORCEINLINE void __TZ_set_CONTROL_NS(uint32_t control) +{ + __ASM volatile ("MSR control_ns, %0" : : "r" (control) : "memory"); +} +#endif + + +/** + \brief Get IPSR Register + \details Returns the content of the IPSR Register. + \return IPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_IPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, ipsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get APSR Register + \details Returns the content of the APSR Register. + \return APSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_APSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, apsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get xPSR Register + \details Returns the content of the xPSR Register. + \return xPSR Register value + */ +__STATIC_FORCEINLINE uint32_t __get_xPSR(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, xpsr" : "=r" (result) ); + return(result); +} + + +/** + \brief Get Process Stack Pointer + \details Returns the current value of the Process Stack Pointer (PSP). + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer (non-secure) + \details Returns the current value of the non-secure Process Stack Pointer (PSP) when in secure state. + \return PSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, psp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Process Stack Pointer + \details Assigns the given value to the Process Stack Pointer (PSP). + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_PSP(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp, %0" : : "r" (topOfProcStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Process Stack Pointer (PSP) when in secure state. + \param [in] topOfProcStack Process Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSP_NS(uint32_t topOfProcStack) +{ + __ASM volatile ("MSR psp_ns, %0" : : "r" (topOfProcStack) : ); +} +#endif + + +/** + \brief Get Main Stack Pointer + \details Returns the current value of the Main Stack Pointer (MSP). + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSP(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer (non-secure) + \details Returns the current value of the non-secure Main Stack Pointer (MSP) when in secure state. + \return MSP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, msp_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Main Stack Pointer + \details Assigns the given value to the Main Stack Pointer (MSP). + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __set_MSP(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp, %0" : : "r" (topOfMainStack) : ); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Main Stack Pointer (MSP) when in secure state. + \param [in] topOfMainStack Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSP_NS(uint32_t topOfMainStack) +{ + __ASM volatile ("MSR msp_ns, %0" : : "r" (topOfMainStack) : ); +} +#endif + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Stack Pointer (non-secure) + \details Returns the current value of the non-secure Stack Pointer (SP) when in secure state. + \return SP Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_SP_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, sp_ns" : "=r" (result) ); + return(result); +} + + +/** + \brief Set Stack Pointer (non-secure) + \details Assigns the given value to the non-secure Stack Pointer (SP) when in secure state. + \param [in] topOfStack Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_SP_NS(uint32_t topOfStack) +{ + __ASM volatile ("MSR sp_ns, %0" : : "r" (topOfStack) : ); +} +#endif + + +/** + \brief Get Priority Mask + \details Returns the current state of the priority mask bit from the Priority Mask Register. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __get_PRIMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Priority Mask (non-secure) + \details Returns the current state of the non-secure priority mask bit from the Priority Mask Register when in secure state. + \return Priority Mask value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PRIMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, primask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Priority Mask + \details Assigns the given value to the Priority Mask Register. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __set_PRIMASK(uint32_t priMask) +{ + __ASM volatile ("MSR primask, %0" : : "r" (priMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Priority Mask (non-secure) + \details Assigns the given value to the non-secure Priority Mask Register when in secure state. + \param [in] priMask Priority Mask + */ +__STATIC_FORCEINLINE void __TZ_set_PRIMASK_NS(uint32_t priMask) +{ + __ASM volatile ("MSR primask_ns, %0" : : "r" (priMask) : "memory"); +} +#endif + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) +/** + \brief Enable FIQ + \details Enables FIQ interrupts by clearing the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __enable_fault_irq(void) +{ + __ASM volatile ("cpsie f" : : : "memory"); +} + + +/** + \brief Disable FIQ + \details Disables FIQ interrupts by setting the F-bit in the CPSR. + Can only be executed in Privileged modes. + */ +__STATIC_FORCEINLINE void __disable_fault_irq(void) +{ + __ASM volatile ("cpsid f" : : : "memory"); +} + + +/** + \brief Get Base Priority + \details Returns the current value of the Base Priority register. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __get_BASEPRI(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Base Priority (non-secure) + \details Returns the current value of the non-secure Base Priority register when in secure state. + \return Base Priority register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_BASEPRI_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, basepri_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Base Priority + \details Assigns the given value to the Base Priority register. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI(uint32_t basePri) +{ + __ASM volatile ("MSR basepri, %0" : : "r" (basePri) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Base Priority (non-secure) + \details Assigns the given value to the non-secure Base Priority register when in secure state. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __TZ_set_BASEPRI_NS(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_ns, %0" : : "r" (basePri) : "memory"); +} +#endif + + +/** + \brief Set Base Priority with condition + \details Assigns the given value to the Base Priority register only if BASEPRI masking is disabled, + or the new value increases the BASEPRI priority level. + \param [in] basePri Base Priority value to set + */ +__STATIC_FORCEINLINE void __set_BASEPRI_MAX(uint32_t basePri) +{ + __ASM volatile ("MSR basepri_max, %0" : : "r" (basePri) : "memory"); +} + + +/** + \brief Get Fault Mask + \details Returns the current value of the Fault Mask register. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __get_FAULTMASK(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask" : "=r" (result) ); + return(result); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Fault Mask (non-secure) + \details Returns the current value of the non-secure Fault Mask register when in secure state. + \return Fault Mask register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_FAULTMASK_NS(void) +{ + uint32_t result; + + __ASM volatile ("MRS %0, faultmask_ns" : "=r" (result) ); + return(result); +} +#endif + + +/** + \brief Set Fault Mask + \details Assigns the given value to the Fault Mask register. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __set_FAULTMASK(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask, %0" : : "r" (faultMask) : "memory"); +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Fault Mask (non-secure) + \details Assigns the given value to the non-secure Fault Mask register when in secure state. + \param [in] faultMask Fault Mask value to set + */ +__STATIC_FORCEINLINE void __TZ_set_FAULTMASK_NS(uint32_t faultMask) +{ + __ASM volatile ("MSR faultmask_ns, %0" : : "r" (faultMask) : "memory"); +} +#endif + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) + +/** + \brief Get Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Process Stack Pointer Limit (PSPLIM). + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_PSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim" : "=r" (result) ); + return result; +#endif +} + +#if (defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Process Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \return PSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_PSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, psplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Process Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Process Stack Pointer Limit (PSPLIM). + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_PSPLIM(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim, %0" : : "r" (ProcStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Process Stack Pointer (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Process Stack Pointer Limit (PSPLIM) when in secure state. + \param [in] ProcStackPtrLimit Process Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __TZ_set_PSPLIM_NS(uint32_t ProcStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)ProcStackPtrLimit; +#else + __ASM volatile ("MSR psplim_ns, %0\n" : : "r" (ProcStackPtrLimit)); +#endif +} +#endif + + +/** + \brief Get Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always in non-secure + mode. + + \details Returns the current value of the Main Stack Pointer Limit (MSPLIM). + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __get_MSPLIM(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim" : "=r" (result) ); + return result; +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Get Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence zero is returned always. + + \details Returns the current value of the non-secure Main Stack Pointer Limit(MSPLIM) when in secure state. + \return MSPLIM Register value + */ +__STATIC_FORCEINLINE uint32_t __TZ_get_MSPLIM_NS(void) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + return 0U; +#else + uint32_t result; + __ASM volatile ("MRS %0, msplim_ns" : "=r" (result) ); + return result; +#endif +} +#endif + + +/** + \brief Set Main Stack Pointer Limit + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored in non-secure + mode. + + \details Assigns the given value to the Main Stack Pointer Limit (MSPLIM). + \param [in] MainStackPtrLimit Main Stack Pointer Limit value to set + */ +__STATIC_FORCEINLINE void __set_MSPLIM(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim, %0" : : "r" (MainStackPtrLimit)); +#endif +} + + +#if (defined (__ARM_FEATURE_CMSE ) && (__ARM_FEATURE_CMSE == 3)) +/** + \brief Set Main Stack Pointer Limit (non-secure) + Devices without ARMv8-M Main Extensions (i.e. Cortex-M23) lack the non-secure + Stack Pointer Limit register hence the write is silently ignored. + + \details Assigns the given value to the non-secure Main Stack Pointer Limit (MSPLIM) when in secure state. + \param [in] MainStackPtrLimit Main Stack Pointer value to set + */ +__STATIC_FORCEINLINE void __TZ_set_MSPLIM_NS(uint32_t MainStackPtrLimit) +{ +#if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)MainStackPtrLimit; +#else + __ASM volatile ("MSR msplim_ns, %0" : : "r" (MainStackPtrLimit)); +#endif +} +#endif + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + + +/** + \brief Get FPSCR + \details Returns the current value of the Floating Point Status/Control register. + \return Floating Point Status/Control register value + */ +__STATIC_FORCEINLINE uint32_t __get_FPSCR(void) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#if __has_builtin(__builtin_arm_get_fpscr) +// Re-enable using built-in when GCC has been fixed +// || (__GNUC__ > 7) || (__GNUC__ == 7 && __GNUC_MINOR__ >= 2) + /* see https://gcc.gnu.org/ml/gcc-patches/2017-04/msg00443.html */ + return __builtin_arm_get_fpscr(); +#else + uint32_t result; + + __ASM volatile ("VMRS %0, fpscr" : "=r" (result) ); + return(result); +#endif +#else + return(0U); +#endif +} + + +/** + \brief Set FPSCR + \details Assigns the given value to the Floating Point Status/Control register. + \param [in] fpscr Floating Point Status/Control value to set + */ +__STATIC_FORCEINLINE void __set_FPSCR(uint32_t fpscr) +{ +#if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) +#if __has_builtin(__builtin_arm_set_fpscr) +// Re-enable using built-in when GCC has been fixed +// || (__GNUC__ > 7) || (__GNUC__ == 7 && __GNUC_MINOR__ >= 2) + /* see https://gcc.gnu.org/ml/gcc-patches/2017-04/msg00443.html */ + __builtin_arm_set_fpscr(fpscr); +#else + __ASM volatile ("VMSR fpscr, %0" : : "r" (fpscr) : "vfpcc", "memory"); +#endif +#else + (void)fpscr; +#endif +} + + +/*@} end of CMSIS_Core_RegAccFunctions */ + + +/* ########################## Core Instruction Access ######################### */ +/** \defgroup CMSIS_Core_InstructionInterface CMSIS Core Instruction Interface + Access to dedicated instructions + @{ +*/ + +/* Define macros for porting to both thumb1 and thumb2. + * For thumb1, use low register (r0-r7), specified by constraint "l" + * Otherwise, use general registers, specified by constraint "r" */ +#if defined (__thumb__) && !defined (__thumb2__) +#define __CMSIS_GCC_OUT_REG(r) "=l" (r) +#define __CMSIS_GCC_RW_REG(r) "+l" (r) +#define __CMSIS_GCC_USE_REG(r) "l" (r) +#else +#define __CMSIS_GCC_OUT_REG(r) "=r" (r) +#define __CMSIS_GCC_RW_REG(r) "+r" (r) +#define __CMSIS_GCC_USE_REG(r) "r" (r) +#endif + +/** + \brief No Operation + \details No Operation does nothing. This instruction can be used for code alignment purposes. + */ +#define __NOP() __ASM volatile ("nop") + +/** + \brief Wait For Interrupt + \details Wait For Interrupt is a hint instruction that suspends execution until one of a number of events occurs. + */ +#define __WFI() __ASM volatile ("wfi":::"memory") + + +/** + \brief Wait For Event + \details Wait For Event is a hint instruction that permits the processor to enter + a low-power state until one of a number of events occurs. + */ +#define __WFE() __ASM volatile ("wfe":::"memory") + + +/** + \brief Send Event + \details Send Event is a hint instruction. It causes an event to be signaled to the CPU. + */ +#define __SEV() __ASM volatile ("sev") + + +/** + \brief Instruction Synchronization Barrier + \details Instruction Synchronization Barrier flushes the pipeline in the processor, + so that all instructions following the ISB are fetched from cache or memory, + after the instruction has been completed. + */ +__STATIC_FORCEINLINE void __ISB(void) +{ + __ASM volatile ("isb 0xF":::"memory"); +} + + +/** + \brief Data Synchronization Barrier + \details Acts as a special kind of Data Memory Barrier. + It completes when all explicit memory accesses before this instruction complete. + */ +__STATIC_FORCEINLINE void __DSB(void) +{ + __ASM volatile ("dsb 0xF":::"memory"); +} + + +/** + \brief Data Memory Barrier + \details Ensures the apparent order of the explicit memory operations before + and after the instruction, without ensuring their completion. + */ +__STATIC_FORCEINLINE void __DMB(void) +{ + __ASM volatile ("dmb 0xF":::"memory"); +} + + +/** + \brief Reverse byte order (32 bit) + \details Reverses the byte order in unsigned integer value. For example, 0x12345678 becomes 0x78563412. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __REV(uint32_t value) +{ +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5) + return __builtin_bswap32(value); +#else + uint32_t result; + + __ASM ("rev %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +#endif +} + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order within each halfword of a word. For example, 0x12345678 becomes 0x34127856. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __REV16(uint32_t value) +{ + uint32_t result; + + __ASM ("rev16 %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +} + + +/** + \brief Reverse byte order (16 bit) + \details Reverses the byte order in a 16-bit value and returns the signed 16-bit result. For example, 0x0080 becomes 0x8000. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE int16_t __REVSH(int16_t value) +{ +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + return (int16_t)__builtin_bswap16(value); +#else + int16_t result; + + __ASM ("revsh %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return result; +#endif +} + + +/** + \brief Rotate Right in unsigned value (32 bit) + \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits. + \param [in] op1 Value to rotate + \param [in] op2 Number of Bits to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2) +{ + op2 %= 32U; + if (op2 == 0U) + { + return op1; + } + return (op1 >> op2) | (op1 << (32U - op2)); +} + + +/** + \brief Breakpoint + \details Causes the processor to enter Debug state. + Debug tools can use this to investigate system state when the instruction at a particular address is reached. + \param [in] value is ignored by the processor. + If required, a debugger can use it to store additional information about the breakpoint. + */ +#define __BKPT(value) __ASM volatile ("bkpt "#value) + + +/** + \brief Reverse bit order of value + \details Reverses the bit order of the given value. + \param [in] value Value to reverse + \return Reversed value + */ +__STATIC_FORCEINLINE uint32_t __RBIT(uint32_t value) +{ + uint32_t result; + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) + __ASM ("rbit %0, %1" : "=r" (result) : "r" (value) ); +#else + uint32_t s = (4U /*sizeof(v)*/ * 8U) - 1U; /* extra shift needed at end */ + + result = value; /* r will be reversed bits of v; first get LSB of v */ + for (value >>= 1U; value != 0U; value >>= 1U) + { + result <<= 1U; + result |= value & 1U; + s--; + } + result <<= s; /* shift when v's highest bits are zero */ +#endif + return result; +} + + +/** + \brief Count leading zeros + \details Counts the number of leading zeros of a data value. + \param [in] value Value to count the leading zeros + \return number of leading zeros in value + */ +__STATIC_FORCEINLINE uint8_t __CLZ(uint32_t value) +{ + /* Even though __builtin_clz produces a CLZ instruction on ARM, formally + __builtin_clz(0) is undefined behaviour, so handle this case specially. + This guarantees ARM-compatible results if happening to compile on a non-ARM + target, and ensures the compiler doesn't decide to activate any + optimisations using the logic "value was passed to __builtin_clz, so it + is non-zero". + ARM GCC 7.3 and possibly earlier will optimise this test away, leaving a + single CLZ instruction. + */ + if (value == 0U) + { + return 32U; + } + return __builtin_clz(value); +} + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief LDR Exclusive (8 bit) + \details Executes a exclusive LDR instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDREXB(volatile uint8_t *addr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrexb %0, %1" : "=r" (result) : "Q" (*addr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrexb %0, [%1]" : "=r" (result) : "r" (addr) : "memory" ); +#endif + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDR Exclusive (16 bit) + \details Executes a exclusive LDR instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDREXH(volatile uint16_t *addr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrexh %0, %1" : "=r" (result) : "Q" (*addr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrexh %0, [%1]" : "=r" (result) : "r" (addr) : "memory" ); +#endif + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDR Exclusive (32 bit) + \details Executes a exclusive LDR instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDREXW(volatile uint32_t *addr) +{ + uint32_t result; + + __ASM volatile ("ldrex %0, %1" : "=r" (result) : "Q" (*addr) ); + return(result); +} + + +/** + \brief STR Exclusive (8 bit) + \details Executes a exclusive STR instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXB(uint8_t value, volatile uint8_t *addr) +{ + uint32_t result; + + __ASM volatile ("strexb %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); + return(result); +} + + +/** + \brief STR Exclusive (16 bit) + \details Executes a exclusive STR instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXH(uint16_t value, volatile uint16_t *addr) +{ + uint32_t result; + + __ASM volatile ("strexh %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" ((uint32_t)value) ); + return(result); +} + + +/** + \brief STR Exclusive (32 bit) + \details Executes a exclusive STR instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STREXW(uint32_t value, volatile uint32_t *addr) +{ + uint32_t result; + + __ASM volatile ("strex %0, %2, %1" : "=&r" (result), "=Q" (*addr) : "r" (value) ); + return(result); +} + + +/** + \brief Remove the exclusive lock + \details Removes the exclusive lock which is created by LDREX. + */ +__STATIC_FORCEINLINE void __CLREX(void) +{ + __ASM volatile ("clrex" ::: "memory"); +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] ARG1 Value to be saturated + \param [in] ARG2 Bit position to saturate to (1..32) + \return Saturated value + */ +#define __SSAT(ARG1, ARG2) \ +__extension__ \ +({ \ + int32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("ssat %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] ARG1 Value to be saturated + \param [in] ARG2 Bit position to saturate to (0..31) + \return Saturated value + */ +#define __USAT(ARG1, ARG2) \ + __extension__ \ +({ \ + uint32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("usat %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + + +/** + \brief Rotate Right with Extend (32 bit) + \details Moves each bit of a bitstring right by one bit. + The carry input is shifted in at the left end of the bitstring. + \param [in] value Value to rotate + \return Rotated value + */ +__STATIC_FORCEINLINE uint32_t __RRX(uint32_t value) +{ + uint32_t result; + + __ASM volatile ("rrx %0, %1" : __CMSIS_GCC_OUT_REG (result) : __CMSIS_GCC_USE_REG (value) ); + return(result); +} + + +/** + \brief LDRT Unprivileged (8 bit) + \details Executes a Unprivileged LDRT instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDRBT(volatile uint8_t *ptr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrbt %0, %1" : "=r" (result) : "Q" (*ptr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrbt %0, [%1]" : "=r" (result) : "r" (ptr) : "memory" ); +#endif + return ((uint8_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (16 bit) + \details Executes a Unprivileged LDRT instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDRHT(volatile uint16_t *ptr) +{ + uint32_t result; + +#if (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ >= 8) + __ASM volatile ("ldrht %0, %1" : "=r" (result) : "Q" (*ptr) ); +#else + /* Prior to GCC 4.8, "Q" will be expanded to [rx, #0] which is not + accepted by assembler. So has to use following less efficient pattern. + */ + __ASM volatile ("ldrht %0, [%1]" : "=r" (result) : "r" (ptr) : "memory" ); +#endif + return ((uint16_t) result); /* Add explicit type cast here */ +} + + +/** + \brief LDRT Unprivileged (32 bit) + \details Executes a Unprivileged LDRT instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDRT(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldrt %0, %1" : "=r" (result) : "Q" (*ptr) ); + return(result); +} + + +/** + \brief STRT Unprivileged (8 bit) + \details Executes a Unprivileged STRT instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRBT(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("strbt %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (16 bit) + \details Executes a Unprivileged STRT instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRHT(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("strht %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) ); +} + + +/** + \brief STRT Unprivileged (32 bit) + \details Executes a Unprivileged STRT instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STRT(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("strt %1, %0" : "=Q" (*ptr) : "r" (value) ); +} + +#else /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + +/** + \brief Signed Saturate + \details Saturates a signed value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (1..32) + \return Saturated value + */ +__STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) +{ + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; +} + +/** + \brief Unsigned Saturate + \details Saturates an unsigned value. + \param [in] value Value to be saturated + \param [in] sat Bit position to saturate to (0..31) + \return Saturated value + */ +__STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) +{ + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; +} + +#endif /* ((defined (__ARM_ARCH_7M__ ) && (__ARM_ARCH_7M__ == 1)) || \ + (defined (__ARM_ARCH_7EM__ ) && (__ARM_ARCH_7EM__ == 1)) || \ + (defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) ) */ + + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) +/** + \brief Load-Acquire (8 bit) + \details Executes a LDAB instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldab %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire (16 bit) + \details Executes a LDAH instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldah %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire (32 bit) + \details Executes a LDA instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDA(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("lda %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release (8 bit) + \details Executes a STLB instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLB(uint8_t value, volatile uint8_t *ptr) +{ + __ASM volatile ("stlb %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (16 bit) + \details Executes a STLH instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STLH(uint16_t value, volatile uint16_t *ptr) +{ + __ASM volatile ("stlh %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Store-Release (32 bit) + \details Executes a STL instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + */ +__STATIC_FORCEINLINE void __STL(uint32_t value, volatile uint32_t *ptr) +{ + __ASM volatile ("stl %1, %0" : "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); +} + + +/** + \brief Load-Acquire Exclusive (8 bit) + \details Executes a LDAB exclusive instruction for 8 bit value. + \param [in] ptr Pointer to data + \return value of type uint8_t at (*ptr) + */ +__STATIC_FORCEINLINE uint8_t __LDAEXB(volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaexb %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint8_t) result); +} + + +/** + \brief Load-Acquire Exclusive (16 bit) + \details Executes a LDAH exclusive instruction for 16 bit values. + \param [in] ptr Pointer to data + \return value of type uint16_t at (*ptr) + */ +__STATIC_FORCEINLINE uint16_t __LDAEXH(volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaexh %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return ((uint16_t) result); +} + + +/** + \brief Load-Acquire Exclusive (32 bit) + \details Executes a LDA exclusive instruction for 32 bit values. + \param [in] ptr Pointer to data + \return value of type uint32_t at (*ptr) + */ +__STATIC_FORCEINLINE uint32_t __LDAEX(volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("ldaex %0, %1" : "=r" (result) : "Q" (*ptr) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (8 bit) + \details Executes a STLB exclusive instruction for 8 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEXB(uint8_t value, volatile uint8_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlexb %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (16 bit) + \details Executes a STLH exclusive instruction for 16 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEXH(uint16_t value, volatile uint16_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlexh %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + + +/** + \brief Store-Release Exclusive (32 bit) + \details Executes a STL exclusive instruction for 32 bit values. + \param [in] value Value to store + \param [in] ptr Pointer to location + \return 0 Function succeeded + \return 1 Function failed + */ +__STATIC_FORCEINLINE uint32_t __STLEX(uint32_t value, volatile uint32_t *ptr) +{ + uint32_t result; + + __ASM volatile ("stlex %0, %2, %1" : "=&r" (result), "=Q" (*ptr) : "r" ((uint32_t)value) : "memory" ); + return(result); +} + +#endif /* ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) */ + +/*@}*/ /* end of group CMSIS_Core_InstructionInterface */ + + +/* ################### Compiler specific Intrinsics ########################### */ +/** \defgroup CMSIS_SIMD_intrinsics CMSIS SIMD Intrinsics + Access to dedicated SIMD instructions + @{ +*/ + +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + +__STATIC_FORCEINLINE uint32_t __SADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhadd8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsub8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + + +__STATIC_FORCEINLINE uint32_t __SADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHADD16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhadd16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSUB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsub16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("uasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHASX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhasx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("ssax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __QSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("qsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("shsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("usax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UQSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uqsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UHSAX(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uhsax %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USAD8(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("usad8 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __USADA8(uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM ("usada8 %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#define __SSAT16(ARG1, ARG2) \ +({ \ + int32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("ssat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + +#define __USAT16(ARG1, ARG2) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1); \ + __ASM volatile ("usat16 %0, %1, %2" : "=r" (__RES) : "I" (ARG2), "r" (__ARG1) : "cc" ); \ + __RES; \ + }) + +__STATIC_FORCEINLINE uint32_t __UXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM ("uxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __UXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("uxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTB16(uint32_t op1) +{ + uint32_t result; + + __ASM ("sxtb16 %0, %1" : "=r" (result) : "r" (op1)); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SXTB16_RORn(uint32_t op1, uint32_t rotate) +{ + uint32_t result; + + __ASM ("sxtb16 %0, %1, ROR %2" : "=r" (result) : "r" (op1), "i" (rotate) ); + + return result; +} + +__STATIC_FORCEINLINE uint32_t __SXTAB16(uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM ("sxtab16 %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUAD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuad %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUADX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smuadx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLAD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlad %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLADX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smladx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLALD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlald %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLALDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlaldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SMUSD (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMUSDX (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("smusdx %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSD (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsd %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint32_t __SMLSDX (uint32_t op1, uint32_t op2, uint32_t op3) +{ + uint32_t result; + + __ASM volatile ("smlsdx %0, %1, %2, %3" : "=r" (result) : "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLD (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsld %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint64_t __SMLSLDX (uint32_t op1, uint32_t op2, uint64_t acc) +{ + union llreg_u{ + uint32_t w32[2]; + uint64_t w64; + } llr; + llr.w64 = acc; + +#ifndef __ARMEB__ /* Little endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[0]), "=r" (llr.w32[1]): "r" (op1), "r" (op2) , "0" (llr.w32[0]), "1" (llr.w32[1]) ); +#else /* Big endian */ + __ASM volatile ("smlsldx %0, %1, %2, %3" : "=r" (llr.w32[1]), "=r" (llr.w32[0]): "r" (op1), "r" (op2) , "0" (llr.w32[1]), "1" (llr.w32[0]) ); +#endif + + return(llr.w64); +} + +__STATIC_FORCEINLINE uint32_t __SEL (uint32_t op1, uint32_t op2) +{ + uint32_t result; + + __ASM volatile ("sel %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QADD( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qadd %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +__STATIC_FORCEINLINE int32_t __QSUB( int32_t op1, int32_t op2) +{ + int32_t result; + + __ASM volatile ("qsub %0, %1, %2" : "=r" (result) : "r" (op1), "r" (op2) ); + return(result); +} + +#if 0 +#define __PKHBT(ARG1,ARG2,ARG3) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ + __ASM ("pkhbt %0, %1, %2, lsl %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ + __RES; \ + }) + +#define __PKHTB(ARG1,ARG2,ARG3) \ +({ \ + uint32_t __RES, __ARG1 = (ARG1), __ARG2 = (ARG2); \ + if (ARG3 == 0) \ + __ASM ("pkhtb %0, %1, %2" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2) ); \ + else \ + __ASM ("pkhtb %0, %1, %2, asr %3" : "=r" (__RES) : "r" (__ARG1), "r" (__ARG2), "I" (ARG3) ); \ + __RES; \ + }) +#endif + +#define __PKHBT(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0x0000FFFFUL) | \ + ((((uint32_t)(ARG2)) << (ARG3)) & 0xFFFF0000UL) ) + +#define __PKHTB(ARG1,ARG2,ARG3) ( ((((uint32_t)(ARG1)) ) & 0xFFFF0000UL) | \ + ((((uint32_t)(ARG2)) >> (ARG3)) & 0x0000FFFFUL) ) + +__STATIC_FORCEINLINE int32_t __SMMLA (int32_t op1, int32_t op2, int32_t op3) +{ + int32_t result; + + __ASM ("smmla %0, %1, %2, %3" : "=r" (result): "r" (op1), "r" (op2), "r" (op3) ); + return(result); +} + +#endif /* (__ARM_FEATURE_DSP == 1) */ +/*@} end of group CMSIS_SIMD_intrinsics */ + + +#pragma GCC diagnostic pop + +#endif /* __CMSIS_GCC_H */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_iccarm.h b/Firmware/cmsis/cm4/core_support/cmsis_iccarm.h new file mode 100644 index 0000000..890ba20 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_iccarm.h @@ -0,0 +1,968 @@ +/****************************************************************************** + * @file cmsis_iccarm.h + * @brief CMSIS compiler ICCARM (IAR Compiler for Arm) header file + * @version V5.2.0 + * @date 28. January 2020 + ******************************************************************************/ + +//------------------------------------------------------------------------------ +// +// Copyright (c) 2017-2019 IAR Systems +// Copyright (c) 2017-2019 Arm Limited. All rights reserved. +// +// SPDX-License-Identifier: Apache-2.0 +// +// Licensed under the Apache License, Version 2.0 (the "License") +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. +// +//------------------------------------------------------------------------------ + + +#ifndef __CMSIS_ICCARM_H__ +#define __CMSIS_ICCARM_H__ + +#ifndef __ICCARM__ + #error This file should only be compiled by ICCARM +#endif + +#pragma system_include + +#define __IAR_FT _Pragma("inline=forced") __intrinsic + +#if (__VER__ >= 8000000) + #define __ICCARM_V8 1 +#else + #define __ICCARM_V8 0 +#endif + +#ifndef __ALIGNED + #if __ICCARM_V8 + #define __ALIGNED(x) __attribute__((aligned(x))) + #elif (__VER__ >= 7080000) + /* Needs IAR language extensions */ + #define __ALIGNED(x) __attribute__((aligned(x))) + #else + #warning No compiler specific solution for __ALIGNED.__ALIGNED is ignored. + #define __ALIGNED(x) + #endif +#endif + + +/* Define compiler macros for CPU architecture, used in CMSIS 5. + */ +#if __ARM_ARCH_6M__ || __ARM_ARCH_7M__ || __ARM_ARCH_7EM__ || __ARM_ARCH_8M_BASE__ || __ARM_ARCH_8M_MAIN__ +/* Macros already defined */ +#else + #if defined(__ARM8M_MAINLINE__) || defined(__ARM8EM_MAINLINE__) + #define __ARM_ARCH_8M_MAIN__ 1 + #elif defined(__ARM8M_BASELINE__) + #define __ARM_ARCH_8M_BASE__ 1 + #elif defined(__ARM_ARCH_PROFILE) && __ARM_ARCH_PROFILE == 'M' + #if __ARM_ARCH == 6 + #define __ARM_ARCH_6M__ 1 + #elif __ARM_ARCH == 7 + #if __ARM_FEATURE_DSP + #define __ARM_ARCH_7EM__ 1 + #else + #define __ARM_ARCH_7M__ 1 + #endif + #endif /* __ARM_ARCH */ + #endif /* __ARM_ARCH_PROFILE == 'M' */ +#endif + +/* Alternativ core deduction for older ICCARM's */ +#if !defined(__ARM_ARCH_6M__) && !defined(__ARM_ARCH_7M__) && !defined(__ARM_ARCH_7EM__) && \ + !defined(__ARM_ARCH_8M_BASE__) && !defined(__ARM_ARCH_8M_MAIN__) + #if defined(__ARM6M__) && (__CORE__ == __ARM6M__) + #define __ARM_ARCH_6M__ 1 + #elif defined(__ARM7M__) && (__CORE__ == __ARM7M__) + #define __ARM_ARCH_7M__ 1 + #elif defined(__ARM7EM__) && (__CORE__ == __ARM7EM__) + #define __ARM_ARCH_7EM__ 1 + #elif defined(__ARM8M_BASELINE__) && (__CORE == __ARM8M_BASELINE__) + #define __ARM_ARCH_8M_BASE__ 1 + #elif defined(__ARM8M_MAINLINE__) && (__CORE == __ARM8M_MAINLINE__) + #define __ARM_ARCH_8M_MAIN__ 1 + #elif defined(__ARM8EM_MAINLINE__) && (__CORE == __ARM8EM_MAINLINE__) + #define __ARM_ARCH_8M_MAIN__ 1 + #else + #error "Unknown target." + #endif +#endif + + + +#if defined(__ARM_ARCH_6M__) && __ARM_ARCH_6M__==1 + #define __IAR_M0_FAMILY 1 +#elif defined(__ARM_ARCH_8M_BASE__) && __ARM_ARCH_8M_BASE__==1 + #define __IAR_M0_FAMILY 1 +#else + #define __IAR_M0_FAMILY 0 +#endif + + +#ifndef __ASM + #define __ASM __asm +#endif + +#ifndef __COMPILER_BARRIER + #define __COMPILER_BARRIER() __ASM volatile("":::"memory") +#endif + +#ifndef __INLINE + #define __INLINE inline +#endif + +#ifndef __NO_RETURN + #if __ICCARM_V8 + #define __NO_RETURN __attribute__((__noreturn__)) + #else + #define __NO_RETURN _Pragma("object_attribute=__noreturn") + #endif +#endif + +#ifndef __PACKED + #if __ICCARM_V8 + #define __PACKED __attribute__((packed, aligned(1))) + #else + /* Needs IAR language extensions */ + #define __PACKED __packed + #endif +#endif + +#ifndef __PACKED_STRUCT + #if __ICCARM_V8 + #define __PACKED_STRUCT struct __attribute__((packed, aligned(1))) + #else + /* Needs IAR language extensions */ + #define __PACKED_STRUCT __packed struct + #endif +#endif + +#ifndef __PACKED_UNION + #if __ICCARM_V8 + #define __PACKED_UNION union __attribute__((packed, aligned(1))) + #else + /* Needs IAR language extensions */ + #define __PACKED_UNION __packed union + #endif +#endif + +#ifndef __RESTRICT + #if __ICCARM_V8 + #define __RESTRICT __restrict + #else + /* Needs IAR language extensions */ + #define __RESTRICT restrict + #endif +#endif + +#ifndef __STATIC_INLINE + #define __STATIC_INLINE static inline +#endif + +#ifndef __FORCEINLINE + #define __FORCEINLINE _Pragma("inline=forced") +#endif + +#ifndef __STATIC_FORCEINLINE + #define __STATIC_FORCEINLINE __FORCEINLINE __STATIC_INLINE +#endif + +#ifndef __UNALIGNED_UINT16_READ +#pragma language=save +#pragma language=extended +__IAR_FT uint16_t __iar_uint16_read(void const *ptr) +{ + return *(__packed uint16_t*)(ptr); +} +#pragma language=restore +#define __UNALIGNED_UINT16_READ(PTR) __iar_uint16_read(PTR) +#endif + + +#ifndef __UNALIGNED_UINT16_WRITE +#pragma language=save +#pragma language=extended +__IAR_FT void __iar_uint16_write(void const *ptr, uint16_t val) +{ + *(__packed uint16_t*)(ptr) = val;; +} +#pragma language=restore +#define __UNALIGNED_UINT16_WRITE(PTR,VAL) __iar_uint16_write(PTR,VAL) +#endif + +#ifndef __UNALIGNED_UINT32_READ +#pragma language=save +#pragma language=extended +__IAR_FT uint32_t __iar_uint32_read(void const *ptr) +{ + return *(__packed uint32_t*)(ptr); +} +#pragma language=restore +#define __UNALIGNED_UINT32_READ(PTR) __iar_uint32_read(PTR) +#endif + +#ifndef __UNALIGNED_UINT32_WRITE +#pragma language=save +#pragma language=extended +__IAR_FT void __iar_uint32_write(void const *ptr, uint32_t val) +{ + *(__packed uint32_t*)(ptr) = val;; +} +#pragma language=restore +#define __UNALIGNED_UINT32_WRITE(PTR,VAL) __iar_uint32_write(PTR,VAL) +#endif + +#ifndef __UNALIGNED_UINT32 /* deprecated */ +#pragma language=save +#pragma language=extended +__packed struct __iar_u32 { uint32_t v; }; +#pragma language=restore +#define __UNALIGNED_UINT32(PTR) (((struct __iar_u32 *)(PTR))->v) +#endif + +#ifndef __USED + #if __ICCARM_V8 + #define __USED __attribute__((used)) + #else + #define __USED _Pragma("__root") + #endif +#endif + +#ifndef __WEAK + #if __ICCARM_V8 + #define __WEAK __attribute__((weak)) + #else + #define __WEAK _Pragma("__weak") + #endif +#endif + +#ifndef __PROGRAM_START +#define __PROGRAM_START __iar_program_start +#endif + +#ifndef __INITIAL_SP +#define __INITIAL_SP CSTACK$$Limit +#endif + +#ifndef __STACK_LIMIT +#define __STACK_LIMIT CSTACK$$Base +#endif + +#ifndef __VECTOR_TABLE +#define __VECTOR_TABLE __vector_table +#endif + +#ifndef __VECTOR_TABLE_ATTRIBUTE +#define __VECTOR_TABLE_ATTRIBUTE @".intvec" +#endif + +#ifndef __ICCARM_INTRINSICS_VERSION__ + #define __ICCARM_INTRINSICS_VERSION__ 0 +#endif + +#if __ICCARM_INTRINSICS_VERSION__ == 2 + + #if defined(__CLZ) + #undef __CLZ + #endif + #if defined(__REVSH) + #undef __REVSH + #endif + #if defined(__RBIT) + #undef __RBIT + #endif + #if defined(__SSAT) + #undef __SSAT + #endif + #if defined(__USAT) + #undef __USAT + #endif + + #include "iccarm_builtin.h" + + #define __disable_fault_irq __iar_builtin_disable_fiq + #define __disable_irq __iar_builtin_disable_interrupt + #define __enable_fault_irq __iar_builtin_enable_fiq + #define __enable_irq __iar_builtin_enable_interrupt + #define __arm_rsr __iar_builtin_rsr + #define __arm_wsr __iar_builtin_wsr + + + #define __get_APSR() (__arm_rsr("APSR")) + #define __get_BASEPRI() (__arm_rsr("BASEPRI")) + #define __get_CONTROL() (__arm_rsr("CONTROL")) + #define __get_FAULTMASK() (__arm_rsr("FAULTMASK")) + + #if ((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) ) + #define __get_FPSCR() (__arm_rsr("FPSCR")) + #define __set_FPSCR(VALUE) (__arm_wsr("FPSCR", (VALUE))) + #else + #define __get_FPSCR() ( 0 ) + #define __set_FPSCR(VALUE) ((void)VALUE) + #endif + + #define __get_IPSR() (__arm_rsr("IPSR")) + #define __get_MSP() (__arm_rsr("MSP")) + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + #define __get_MSPLIM() (0U) + #else + #define __get_MSPLIM() (__arm_rsr("MSPLIM")) + #endif + #define __get_PRIMASK() (__arm_rsr("PRIMASK")) + #define __get_PSP() (__arm_rsr("PSP")) + + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + #define __get_PSPLIM() (0U) + #else + #define __get_PSPLIM() (__arm_rsr("PSPLIM")) + #endif + + #define __get_xPSR() (__arm_rsr("xPSR")) + + #define __set_BASEPRI(VALUE) (__arm_wsr("BASEPRI", (VALUE))) + #define __set_BASEPRI_MAX(VALUE) (__arm_wsr("BASEPRI_MAX", (VALUE))) + #define __set_CONTROL(VALUE) (__arm_wsr("CONTROL", (VALUE))) + #define __set_FAULTMASK(VALUE) (__arm_wsr("FAULTMASK", (VALUE))) + #define __set_MSP(VALUE) (__arm_wsr("MSP", (VALUE))) + + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + #define __set_MSPLIM(VALUE) ((void)(VALUE)) + #else + #define __set_MSPLIM(VALUE) (__arm_wsr("MSPLIM", (VALUE))) + #endif + #define __set_PRIMASK(VALUE) (__arm_wsr("PRIMASK", (VALUE))) + #define __set_PSP(VALUE) (__arm_wsr("PSP", (VALUE))) + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + #define __set_PSPLIM(VALUE) ((void)(VALUE)) + #else + #define __set_PSPLIM(VALUE) (__arm_wsr("PSPLIM", (VALUE))) + #endif + + #define __TZ_get_CONTROL_NS() (__arm_rsr("CONTROL_NS")) + #define __TZ_set_CONTROL_NS(VALUE) (__arm_wsr("CONTROL_NS", (VALUE))) + #define __TZ_get_PSP_NS() (__arm_rsr("PSP_NS")) + #define __TZ_set_PSP_NS(VALUE) (__arm_wsr("PSP_NS", (VALUE))) + #define __TZ_get_MSP_NS() (__arm_rsr("MSP_NS")) + #define __TZ_set_MSP_NS(VALUE) (__arm_wsr("MSP_NS", (VALUE))) + #define __TZ_get_SP_NS() (__arm_rsr("SP_NS")) + #define __TZ_set_SP_NS(VALUE) (__arm_wsr("SP_NS", (VALUE))) + #define __TZ_get_PRIMASK_NS() (__arm_rsr("PRIMASK_NS")) + #define __TZ_set_PRIMASK_NS(VALUE) (__arm_wsr("PRIMASK_NS", (VALUE))) + #define __TZ_get_BASEPRI_NS() (__arm_rsr("BASEPRI_NS")) + #define __TZ_set_BASEPRI_NS(VALUE) (__arm_wsr("BASEPRI_NS", (VALUE))) + #define __TZ_get_FAULTMASK_NS() (__arm_rsr("FAULTMASK_NS")) + #define __TZ_set_FAULTMASK_NS(VALUE)(__arm_wsr("FAULTMASK_NS", (VALUE))) + + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + #define __TZ_get_PSPLIM_NS() (0U) + #define __TZ_set_PSPLIM_NS(VALUE) ((void)(VALUE)) + #else + #define __TZ_get_PSPLIM_NS() (__arm_rsr("PSPLIM_NS")) + #define __TZ_set_PSPLIM_NS(VALUE) (__arm_wsr("PSPLIM_NS", (VALUE))) + #endif + + #define __TZ_get_MSPLIM_NS() (__arm_rsr("MSPLIM_NS")) + #define __TZ_set_MSPLIM_NS(VALUE) (__arm_wsr("MSPLIM_NS", (VALUE))) + + #define __NOP __iar_builtin_no_operation + + #define __CLZ __iar_builtin_CLZ + #define __CLREX __iar_builtin_CLREX + + #define __DMB __iar_builtin_DMB + #define __DSB __iar_builtin_DSB + #define __ISB __iar_builtin_ISB + + #define __LDREXB __iar_builtin_LDREXB + #define __LDREXH __iar_builtin_LDREXH + #define __LDREXW __iar_builtin_LDREX + + #define __RBIT __iar_builtin_RBIT + #define __REV __iar_builtin_REV + #define __REV16 __iar_builtin_REV16 + + __IAR_FT int16_t __REVSH(int16_t val) + { + return (int16_t) __iar_builtin_REVSH(val); + } + + #define __ROR __iar_builtin_ROR + #define __RRX __iar_builtin_RRX + + #define __SEV __iar_builtin_SEV + + #if !__IAR_M0_FAMILY + #define __SSAT __iar_builtin_SSAT + #endif + + #define __STREXB __iar_builtin_STREXB + #define __STREXH __iar_builtin_STREXH + #define __STREXW __iar_builtin_STREX + + #if !__IAR_M0_FAMILY + #define __USAT __iar_builtin_USAT + #endif + + #define __WFE __iar_builtin_WFE + #define __WFI __iar_builtin_WFI + + #if __ARM_MEDIA__ + #define __SADD8 __iar_builtin_SADD8 + #define __QADD8 __iar_builtin_QADD8 + #define __SHADD8 __iar_builtin_SHADD8 + #define __UADD8 __iar_builtin_UADD8 + #define __UQADD8 __iar_builtin_UQADD8 + #define __UHADD8 __iar_builtin_UHADD8 + #define __SSUB8 __iar_builtin_SSUB8 + #define __QSUB8 __iar_builtin_QSUB8 + #define __SHSUB8 __iar_builtin_SHSUB8 + #define __USUB8 __iar_builtin_USUB8 + #define __UQSUB8 __iar_builtin_UQSUB8 + #define __UHSUB8 __iar_builtin_UHSUB8 + #define __SADD16 __iar_builtin_SADD16 + #define __QADD16 __iar_builtin_QADD16 + #define __SHADD16 __iar_builtin_SHADD16 + #define __UADD16 __iar_builtin_UADD16 + #define __UQADD16 __iar_builtin_UQADD16 + #define __UHADD16 __iar_builtin_UHADD16 + #define __SSUB16 __iar_builtin_SSUB16 + #define __QSUB16 __iar_builtin_QSUB16 + #define __SHSUB16 __iar_builtin_SHSUB16 + #define __USUB16 __iar_builtin_USUB16 + #define __UQSUB16 __iar_builtin_UQSUB16 + #define __UHSUB16 __iar_builtin_UHSUB16 + #define __SASX __iar_builtin_SASX + #define __QASX __iar_builtin_QASX + #define __SHASX __iar_builtin_SHASX + #define __UASX __iar_builtin_UASX + #define __UQASX __iar_builtin_UQASX + #define __UHASX __iar_builtin_UHASX + #define __SSAX __iar_builtin_SSAX + #define __QSAX __iar_builtin_QSAX + #define __SHSAX __iar_builtin_SHSAX + #define __USAX __iar_builtin_USAX + #define __UQSAX __iar_builtin_UQSAX + #define __UHSAX __iar_builtin_UHSAX + #define __USAD8 __iar_builtin_USAD8 + #define __USADA8 __iar_builtin_USADA8 + #define __SSAT16 __iar_builtin_SSAT16 + #define __USAT16 __iar_builtin_USAT16 + #define __UXTB16 __iar_builtin_UXTB16 + #define __UXTAB16 __iar_builtin_UXTAB16 + #define __SXTB16 __iar_builtin_SXTB16 + #define __SXTAB16 __iar_builtin_SXTAB16 + #define __SMUAD __iar_builtin_SMUAD + #define __SMUADX __iar_builtin_SMUADX + #define __SMMLA __iar_builtin_SMMLA + #define __SMLAD __iar_builtin_SMLAD + #define __SMLADX __iar_builtin_SMLADX + #define __SMLALD __iar_builtin_SMLALD + #define __SMLALDX __iar_builtin_SMLALDX + #define __SMUSD __iar_builtin_SMUSD + #define __SMUSDX __iar_builtin_SMUSDX + #define __SMLSD __iar_builtin_SMLSD + #define __SMLSDX __iar_builtin_SMLSDX + #define __SMLSLD __iar_builtin_SMLSLD + #define __SMLSLDX __iar_builtin_SMLSLDX + #define __SEL __iar_builtin_SEL + #define __QADD __iar_builtin_QADD + #define __QSUB __iar_builtin_QSUB + #define __PKHBT __iar_builtin_PKHBT + #define __PKHTB __iar_builtin_PKHTB + #endif + +#else /* __ICCARM_INTRINSICS_VERSION__ == 2 */ + + #if __IAR_M0_FAMILY + /* Avoid clash between intrinsics.h and arm_math.h when compiling for Cortex-M0. */ + #define __CLZ __cmsis_iar_clz_not_active + #define __SSAT __cmsis_iar_ssat_not_active + #define __USAT __cmsis_iar_usat_not_active + #define __RBIT __cmsis_iar_rbit_not_active + #define __get_APSR __cmsis_iar_get_APSR_not_active + #endif + + + #if (!((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) )) + #define __get_FPSCR __cmsis_iar_get_FPSR_not_active + #define __set_FPSCR __cmsis_iar_set_FPSR_not_active + #endif + + #ifdef __INTRINSICS_INCLUDED + #error intrinsics.h is already included previously! + #endif + + #include + + #if __IAR_M0_FAMILY + /* Avoid clash between intrinsics.h and arm_math.h when compiling for Cortex-M0. */ + #undef __CLZ + #undef __SSAT + #undef __USAT + #undef __RBIT + #undef __get_APSR + + __STATIC_INLINE uint8_t __CLZ(uint32_t data) + { + if (data == 0U) { return 32U; } + + uint32_t count = 0U; + uint32_t mask = 0x80000000U; + + while ((data & mask) == 0U) + { + count += 1U; + mask = mask >> 1U; + } + return count; + } + + __STATIC_INLINE uint32_t __RBIT(uint32_t v) + { + uint8_t sc = 31U; + uint32_t r = v; + for (v >>= 1U; v; v >>= 1U) + { + r <<= 1U; + r |= v & 1U; + sc--; + } + return (r << sc); + } + + __STATIC_INLINE uint32_t __get_APSR(void) + { + uint32_t res; + __asm("MRS %0,APSR" : "=r" (res)); + return res; + } + + #endif + + #if (!((defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U)) && \ + (defined (__FPU_USED ) && (__FPU_USED == 1U)) )) + #undef __get_FPSCR + #undef __set_FPSCR + #define __get_FPSCR() (0) + #define __set_FPSCR(VALUE) ((void)VALUE) + #endif + + #pragma diag_suppress=Pe940 + #pragma diag_suppress=Pe177 + + #define __enable_irq __enable_interrupt + #define __disable_irq __disable_interrupt + #define __NOP __no_operation + + #define __get_xPSR __get_PSR + + #if (!defined(__ARM_ARCH_6M__) || __ARM_ARCH_6M__==0) + + __IAR_FT uint32_t __LDREXW(uint32_t volatile *ptr) + { + return __LDREX((unsigned long *)ptr); + } + + __IAR_FT uint32_t __STREXW(uint32_t value, uint32_t volatile *ptr) + { + return __STREX(value, (unsigned long *)ptr); + } + #endif + + + /* __CORTEX_M is defined in core_cm0.h, core_cm3.h and core_cm4.h. */ + #if (__CORTEX_M >= 0x03) + + __IAR_FT uint32_t __RRX(uint32_t value) + { + uint32_t result; + __ASM volatile("RRX %0, %1" : "=r"(result) : "r" (value)); + return(result); + } + + __IAR_FT void __set_BASEPRI_MAX(uint32_t value) + { + __asm volatile("MSR BASEPRI_MAX,%0"::"r" (value)); + } + + + #define __enable_fault_irq __enable_fiq + #define __disable_fault_irq __disable_fiq + + + #endif /* (__CORTEX_M >= 0x03) */ + + __IAR_FT uint32_t __ROR(uint32_t op1, uint32_t op2) + { + return (op1 >> op2) | (op1 << ((sizeof(op1)*8)-op2)); + } + + #if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) + + __IAR_FT uint32_t __get_MSPLIM(void) + { + uint32_t res; + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + res = 0U; + #else + __asm volatile("MRS %0,MSPLIM" : "=r" (res)); + #endif + return res; + } + + __IAR_FT void __set_MSPLIM(uint32_t value) + { + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure MSPLIM is RAZ/WI + (void)value; + #else + __asm volatile("MSR MSPLIM,%0" :: "r" (value)); + #endif + } + + __IAR_FT uint32_t __get_PSPLIM(void) + { + uint32_t res; + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + res = 0U; + #else + __asm volatile("MRS %0,PSPLIM" : "=r" (res)); + #endif + return res; + } + + __IAR_FT void __set_PSPLIM(uint32_t value) + { + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)value; + #else + __asm volatile("MSR PSPLIM,%0" :: "r" (value)); + #endif + } + + __IAR_FT uint32_t __TZ_get_CONTROL_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,CONTROL_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_CONTROL_NS(uint32_t value) + { + __asm volatile("MSR CONTROL_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_PSP_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,PSP_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_PSP_NS(uint32_t value) + { + __asm volatile("MSR PSP_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_MSP_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,MSP_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_MSP_NS(uint32_t value) + { + __asm volatile("MSR MSP_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_SP_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,SP_NS" : "=r" (res)); + return res; + } + __IAR_FT void __TZ_set_SP_NS(uint32_t value) + { + __asm volatile("MSR SP_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_PRIMASK_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,PRIMASK_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_PRIMASK_NS(uint32_t value) + { + __asm volatile("MSR PRIMASK_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_BASEPRI_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,BASEPRI_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_BASEPRI_NS(uint32_t value) + { + __asm volatile("MSR BASEPRI_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_FAULTMASK_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,FAULTMASK_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_FAULTMASK_NS(uint32_t value) + { + __asm volatile("MSR FAULTMASK_NS,%0" :: "r" (value)); + } + + __IAR_FT uint32_t __TZ_get_PSPLIM_NS(void) + { + uint32_t res; + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + res = 0U; + #else + __asm volatile("MRS %0,PSPLIM_NS" : "=r" (res)); + #endif + return res; + } + + __IAR_FT void __TZ_set_PSPLIM_NS(uint32_t value) + { + #if (!(defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) && \ + (!defined (__ARM_FEATURE_CMSE ) || (__ARM_FEATURE_CMSE < 3))) + // without main extensions, the non-secure PSPLIM is RAZ/WI + (void)value; + #else + __asm volatile("MSR PSPLIM_NS,%0" :: "r" (value)); + #endif + } + + __IAR_FT uint32_t __TZ_get_MSPLIM_NS(void) + { + uint32_t res; + __asm volatile("MRS %0,MSPLIM_NS" : "=r" (res)); + return res; + } + + __IAR_FT void __TZ_set_MSPLIM_NS(uint32_t value) + { + __asm volatile("MSR MSPLIM_NS,%0" :: "r" (value)); + } + + #endif /* __ARM_ARCH_8M_MAIN__ or __ARM_ARCH_8M_BASE__ */ + +#endif /* __ICCARM_INTRINSICS_VERSION__ == 2 */ + +#define __BKPT(value) __asm volatile ("BKPT %0" : : "i"(value)) + +#if __IAR_M0_FAMILY + __STATIC_INLINE int32_t __SSAT(int32_t val, uint32_t sat) + { + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; + } + + __STATIC_INLINE uint32_t __USAT(int32_t val, uint32_t sat) + { + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; + } +#endif + +#if (__CORTEX_M >= 0x03) /* __CORTEX_M is defined in core_cm0.h, core_cm3.h and core_cm4.h. */ + + __IAR_FT uint8_t __LDRBT(volatile uint8_t *addr) + { + uint32_t res; + __ASM volatile ("LDRBT %0, [%1]" : "=r" (res) : "r" (addr) : "memory"); + return ((uint8_t)res); + } + + __IAR_FT uint16_t __LDRHT(volatile uint16_t *addr) + { + uint32_t res; + __ASM volatile ("LDRHT %0, [%1]" : "=r" (res) : "r" (addr) : "memory"); + return ((uint16_t)res); + } + + __IAR_FT uint32_t __LDRT(volatile uint32_t *addr) + { + uint32_t res; + __ASM volatile ("LDRT %0, [%1]" : "=r" (res) : "r" (addr) : "memory"); + return res; + } + + __IAR_FT void __STRBT(uint8_t value, volatile uint8_t *addr) + { + __ASM volatile ("STRBT %1, [%0]" : : "r" (addr), "r" ((uint32_t)value) : "memory"); + } + + __IAR_FT void __STRHT(uint16_t value, volatile uint16_t *addr) + { + __ASM volatile ("STRHT %1, [%0]" : : "r" (addr), "r" ((uint32_t)value) : "memory"); + } + + __IAR_FT void __STRT(uint32_t value, volatile uint32_t *addr) + { + __ASM volatile ("STRT %1, [%0]" : : "r" (addr), "r" (value) : "memory"); + } + +#endif /* (__CORTEX_M >= 0x03) */ + +#if ((defined (__ARM_ARCH_8M_MAIN__ ) && (__ARM_ARCH_8M_MAIN__ == 1)) || \ + (defined (__ARM_ARCH_8M_BASE__ ) && (__ARM_ARCH_8M_BASE__ == 1)) ) + + + __IAR_FT uint8_t __LDAB(volatile uint8_t *ptr) + { + uint32_t res; + __ASM volatile ("LDAB %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return ((uint8_t)res); + } + + __IAR_FT uint16_t __LDAH(volatile uint16_t *ptr) + { + uint32_t res; + __ASM volatile ("LDAH %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return ((uint16_t)res); + } + + __IAR_FT uint32_t __LDA(volatile uint32_t *ptr) + { + uint32_t res; + __ASM volatile ("LDA %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return res; + } + + __IAR_FT void __STLB(uint8_t value, volatile uint8_t *ptr) + { + __ASM volatile ("STLB %1, [%0]" :: "r" (ptr), "r" (value) : "memory"); + } + + __IAR_FT void __STLH(uint16_t value, volatile uint16_t *ptr) + { + __ASM volatile ("STLH %1, [%0]" :: "r" (ptr), "r" (value) : "memory"); + } + + __IAR_FT void __STL(uint32_t value, volatile uint32_t *ptr) + { + __ASM volatile ("STL %1, [%0]" :: "r" (ptr), "r" (value) : "memory"); + } + + __IAR_FT uint8_t __LDAEXB(volatile uint8_t *ptr) + { + uint32_t res; + __ASM volatile ("LDAEXB %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return ((uint8_t)res); + } + + __IAR_FT uint16_t __LDAEXH(volatile uint16_t *ptr) + { + uint32_t res; + __ASM volatile ("LDAEXH %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return ((uint16_t)res); + } + + __IAR_FT uint32_t __LDAEX(volatile uint32_t *ptr) + { + uint32_t res; + __ASM volatile ("LDAEX %0, [%1]" : "=r" (res) : "r" (ptr) : "memory"); + return res; + } + + __IAR_FT uint32_t __STLEXB(uint8_t value, volatile uint8_t *ptr) + { + uint32_t res; + __ASM volatile ("STLEXB %0, %2, [%1]" : "=r" (res) : "r" (ptr), "r" (value) : "memory"); + return res; + } + + __IAR_FT uint32_t __STLEXH(uint16_t value, volatile uint16_t *ptr) + { + uint32_t res; + __ASM volatile ("STLEXH %0, %2, [%1]" : "=r" (res) : "r" (ptr), "r" (value) : "memory"); + return res; + } + + __IAR_FT uint32_t __STLEX(uint32_t value, volatile uint32_t *ptr) + { + uint32_t res; + __ASM volatile ("STLEX %0, %2, [%1]" : "=r" (res) : "r" (ptr), "r" (value) : "memory"); + return res; + } + +#endif /* __ARM_ARCH_8M_MAIN__ or __ARM_ARCH_8M_BASE__ */ + +#undef __IAR_FT +#undef __IAR_M0_FAMILY +#undef __ICCARM_V8 + +#pragma diag_default=Pe940 +#pragma diag_default=Pe177 + +#define __SXTB16_RORn(ARG1, ARG2) __SXTB16(__ROR(ARG1, ARG2)) + +#endif /* __CMSIS_ICCARM_H__ */ diff --git a/Firmware/cmsis/cm4/core_support/cmsis_version.h b/Firmware/cmsis/cm4/core_support/cmsis_version.h new file mode 100644 index 0000000..c999178 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/cmsis_version.h @@ -0,0 +1,39 @@ +/****************************************************************************** + * @file cmsis_version.h + * @brief CMSIS Core(M) Version definitions + * @version V5.0.4 + * @date 23. July 2019 + ******************************************************************************/ +/* + * Copyright (c) 2009-2019 ARM Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if defined ( __ICCARM__ ) + #pragma system_include /* treat file as system include file for MISRA check */ +#elif defined (__clang__) + #pragma clang system_header /* treat file as system include file */ +#endif + +#ifndef __CMSIS_VERSION_H +#define __CMSIS_VERSION_H + +/* CMSIS Version definitions */ +#define __CM_CMSIS_VERSION_MAIN ( 5U) /*!< [31:16] CMSIS Core(M) main version */ +#define __CM_CMSIS_VERSION_SUB ( 4U) /*!< [15:0] CMSIS Core(M) sub version */ +#define __CM_CMSIS_VERSION ((__CM_CMSIS_VERSION_MAIN << 16U) | \ + __CM_CMSIS_VERSION_SUB ) /*!< CMSIS Core(M) version number */ +#endif diff --git a/Firmware/cmsis/cm4/core_support/core_cm4.h b/Firmware/cmsis/cm4/core_support/core_cm4.h new file mode 100644 index 0000000..6a50d5e --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/core_cm4.h @@ -0,0 +1,2129 @@ +/************************************************************************** + * @file core_cm4.h + * @brief CMSIS Cortex-M4 Core Peripheral Access Layer Header File + * @version V5.1.1 + * @date 27. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2009-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if defined ( __ICCARM__ ) + #pragma system_include /* treat file as system include file for MISRA check */ +#elif defined (__clang__) + #pragma clang system_header /* treat file as system include file */ +#endif + +#ifndef __CORE_CM4_H_GENERIC +#define __CORE_CM4_H_GENERIC + +#include + +#ifdef __cplusplus + extern "C" { +#endif + +/** + \page CMSIS_MISRA_Exceptions MISRA-C:2004 Compliance Exceptions + CMSIS violates the following MISRA-C:2004 rules: + + \li Required Rule 8.5, object/function definition in header file.
+ Function definitions in header files are used to allow 'inlining'. + + \li Required Rule 18.4, declaration of union type or object of union type: '{...}'.
+ Unions are used for effective representation of core registers. + + \li Advisory Rule 19.7, Function-like macro defined.
+ Function-like macros are used to allow more efficient code. + */ + + +/******************************************************************************* + * CMSIS definitions + ******************************************************************************/ +/** + \ingroup Cortex_M4 + @{ + */ + +#include "cmsis_version.h" + +/* CMSIS CM4 definitions */ +#define __CM4_CMSIS_VERSION_MAIN (__CM_CMSIS_VERSION_MAIN) /*!< \deprecated [31:16] CMSIS HAL main version */ +#define __CM4_CMSIS_VERSION_SUB (__CM_CMSIS_VERSION_SUB) /*!< \deprecated [15:0] CMSIS HAL sub version */ +#define __CM4_CMSIS_VERSION ((__CM4_CMSIS_VERSION_MAIN << 16U) | \ + __CM4_CMSIS_VERSION_SUB ) /*!< \deprecated CMSIS HAL version number */ + +#define __CORTEX_M (4U) /*!< Cortex-M Core */ + +/** __FPU_USED indicates whether an FPU is used or not. + For this, __FPU_PRESENT has to be checked prior to making use of FPU specific registers and functions. +*/ +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050) + #if defined __ARM_FP + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #warning "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined ( __GNUC__ ) + #if defined (__VFP_FP__) && !defined(__SOFTFP__) + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined ( __TI_ARM__ ) + #if defined __TI_VFP_SUPPORT__ + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined ( __TASKING__ ) + #if defined __FPU_VFP__ + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#elif defined ( __CSMC__ ) + #if ( __CSMC__ & 0x400U) + #if defined (__FPU_PRESENT) && (__FPU_PRESENT == 1U) + #define __FPU_USED 1U + #else + #error "Compiler generates FPU instructions for a device without an FPU (check __FPU_PRESENT)" + #define __FPU_USED 0U + #endif + #else + #define __FPU_USED 0U + #endif + +#endif + +#include "cmsis_compiler.h" /* CMSIS compiler specific defines */ + + +#ifdef __cplusplus +} +#endif + +#endif /* __CORE_CM4_H_GENERIC */ + +#ifndef __CMSIS_GENERIC + +#ifndef __CORE_CM4_H_DEPENDANT +#define __CORE_CM4_H_DEPENDANT + +#ifdef __cplusplus + extern "C" { +#endif + +/* check device defines and use defaults */ +#if defined __CHECK_DEVICE_DEFINES + #ifndef __CM4_REV + #define __CM4_REV 0x0000U + #warning "__CM4_REV not defined in device header file; using default!" + #endif + + #ifndef __FPU_PRESENT + #define __FPU_PRESENT 0U + #warning "__FPU_PRESENT not defined in device header file; using default!" + #endif + + #ifndef __MPU_PRESENT + #define __MPU_PRESENT 0U + #warning "__MPU_PRESENT not defined in device header file; using default!" + #endif + + #ifndef __VTOR_PRESENT + #define __VTOR_PRESENT 1U + #warning "__VTOR_PRESENT not defined in device header file; using default!" + #endif + + #ifndef __NVIC_PRIO_BITS + #define __NVIC_PRIO_BITS 3U + #warning "__NVIC_PRIO_BITS not defined in device header file; using default!" + #endif + + #ifndef __Vendor_SysTickConfig + #define __Vendor_SysTickConfig 0U + #warning "__Vendor_SysTickConfig not defined in device header file; using default!" + #endif +#endif + +/* IO definitions (access restrictions to peripheral registers) */ +/** + \defgroup CMSIS_glob_defs CMSIS Global Defines + + IO Type Qualifiers are used + \li to specify the access to peripheral variables. + \li for automatic generation of peripheral register debug information. +*/ +#ifdef __cplusplus + #define __I volatile /*!< Defines 'read only' permissions */ +#else + #define __I volatile const /*!< Defines 'read only' permissions */ +#endif +#define __O volatile /*!< Defines 'write only' permissions */ +#define __IO volatile /*!< Defines 'read / write' permissions */ + +/* following defines should be used for structure members */ +#define __IM volatile const /*! Defines 'read only' structure member permissions */ +#define __OM volatile /*! Defines 'write only' structure member permissions */ +#define __IOM volatile /*! Defines 'read / write' structure member permissions */ + +/*@} end of group Cortex_M4 */ + + + +/******************************************************************************* + * Register Abstraction + Core Register contain: + - Core Register + - Core NVIC Register + - Core SCB Register + - Core SysTick Register + - Core Debug Register + - Core MPU Register + - Core FPU Register + ******************************************************************************/ +/** + \defgroup CMSIS_core_register Defines and Type Definitions + \brief Type definitions and defines for Cortex-M processor based devices. +*/ + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_CORE Status and Control Registers + \brief Core Register type definitions. + @{ + */ + +/** + \brief Union type to access the Application Program Status Register (APSR). + */ +typedef union +{ + struct + { + uint32_t _reserved0:16; /*!< bit: 0..15 Reserved */ + uint32_t GE:4; /*!< bit: 16..19 Greater than or Equal flags */ + uint32_t _reserved1:7; /*!< bit: 20..26 Reserved */ + uint32_t Q:1; /*!< bit: 27 Saturation condition flag */ + uint32_t V:1; /*!< bit: 28 Overflow condition code flag */ + uint32_t C:1; /*!< bit: 29 Carry condition code flag */ + uint32_t Z:1; /*!< bit: 30 Zero condition code flag */ + uint32_t N:1; /*!< bit: 31 Negative condition code flag */ + } b; /*!< Structure used for bit access */ + uint32_t w; /*!< Type used for word access */ +} APSR_Type; + +/* APSR Register Definitions */ +#define APSR_N_Pos 31U /*!< APSR: N Position */ +#define APSR_N_Msk (1UL << APSR_N_Pos) /*!< APSR: N Mask */ + +#define APSR_Z_Pos 30U /*!< APSR: Z Position */ +#define APSR_Z_Msk (1UL << APSR_Z_Pos) /*!< APSR: Z Mask */ + +#define APSR_C_Pos 29U /*!< APSR: C Position */ +#define APSR_C_Msk (1UL << APSR_C_Pos) /*!< APSR: C Mask */ + +#define APSR_V_Pos 28U /*!< APSR: V Position */ +#define APSR_V_Msk (1UL << APSR_V_Pos) /*!< APSR: V Mask */ + +#define APSR_Q_Pos 27U /*!< APSR: Q Position */ +#define APSR_Q_Msk (1UL << APSR_Q_Pos) /*!< APSR: Q Mask */ + +#define APSR_GE_Pos 16U /*!< APSR: GE Position */ +#define APSR_GE_Msk (0xFUL << APSR_GE_Pos) /*!< APSR: GE Mask */ + + +/** + \brief Union type to access the Interrupt Program Status Register (IPSR). + */ +typedef union +{ + struct + { + uint32_t ISR:9; /*!< bit: 0.. 8 Exception number */ + uint32_t _reserved0:23; /*!< bit: 9..31 Reserved */ + } b; /*!< Structure used for bit access */ + uint32_t w; /*!< Type used for word access */ +} IPSR_Type; + +/* IPSR Register Definitions */ +#define IPSR_ISR_Pos 0U /*!< IPSR: ISR Position */ +#define IPSR_ISR_Msk (0x1FFUL /*<< IPSR_ISR_Pos*/) /*!< IPSR: ISR Mask */ + + +/** + \brief Union type to access the Special-Purpose Program Status Registers (xPSR). + */ +typedef union +{ + struct + { + uint32_t ISR:9; /*!< bit: 0.. 8 Exception number */ + uint32_t _reserved0:1; /*!< bit: 9 Reserved */ + uint32_t ICI_IT_1:6; /*!< bit: 10..15 ICI/IT part 1 */ + uint32_t GE:4; /*!< bit: 16..19 Greater than or Equal flags */ + uint32_t _reserved1:4; /*!< bit: 20..23 Reserved */ + uint32_t T:1; /*!< bit: 24 Thumb bit */ + uint32_t ICI_IT_2:2; /*!< bit: 25..26 ICI/IT part 2 */ + uint32_t Q:1; /*!< bit: 27 Saturation condition flag */ + uint32_t V:1; /*!< bit: 28 Overflow condition code flag */ + uint32_t C:1; /*!< bit: 29 Carry condition code flag */ + uint32_t Z:1; /*!< bit: 30 Zero condition code flag */ + uint32_t N:1; /*!< bit: 31 Negative condition code flag */ + } b; /*!< Structure used for bit access */ + uint32_t w; /*!< Type used for word access */ +} xPSR_Type; + +/* xPSR Register Definitions */ +#define xPSR_N_Pos 31U /*!< xPSR: N Position */ +#define xPSR_N_Msk (1UL << xPSR_N_Pos) /*!< xPSR: N Mask */ + +#define xPSR_Z_Pos 30U /*!< xPSR: Z Position */ +#define xPSR_Z_Msk (1UL << xPSR_Z_Pos) /*!< xPSR: Z Mask */ + +#define xPSR_C_Pos 29U /*!< xPSR: C Position */ +#define xPSR_C_Msk (1UL << xPSR_C_Pos) /*!< xPSR: C Mask */ + +#define xPSR_V_Pos 28U /*!< xPSR: V Position */ +#define xPSR_V_Msk (1UL << xPSR_V_Pos) /*!< xPSR: V Mask */ + +#define xPSR_Q_Pos 27U /*!< xPSR: Q Position */ +#define xPSR_Q_Msk (1UL << xPSR_Q_Pos) /*!< xPSR: Q Mask */ + +#define xPSR_ICI_IT_2_Pos 25U /*!< xPSR: ICI/IT part 2 Position */ +#define xPSR_ICI_IT_2_Msk (3UL << xPSR_ICI_IT_2_Pos) /*!< xPSR: ICI/IT part 2 Mask */ + +#define xPSR_T_Pos 24U /*!< xPSR: T Position */ +#define xPSR_T_Msk (1UL << xPSR_T_Pos) /*!< xPSR: T Mask */ + +#define xPSR_GE_Pos 16U /*!< xPSR: GE Position */ +#define xPSR_GE_Msk (0xFUL << xPSR_GE_Pos) /*!< xPSR: GE Mask */ + +#define xPSR_ICI_IT_1_Pos 10U /*!< xPSR: ICI/IT part 1 Position */ +#define xPSR_ICI_IT_1_Msk (0x3FUL << xPSR_ICI_IT_1_Pos) /*!< xPSR: ICI/IT part 1 Mask */ + +#define xPSR_ISR_Pos 0U /*!< xPSR: ISR Position */ +#define xPSR_ISR_Msk (0x1FFUL /*<< xPSR_ISR_Pos*/) /*!< xPSR: ISR Mask */ + + +/** + \brief Union type to access the Control Registers (CONTROL). + */ +typedef union +{ + struct + { + uint32_t nPRIV:1; /*!< bit: 0 Execution privilege in Thread mode */ + uint32_t SPSEL:1; /*!< bit: 1 Stack to be used */ + uint32_t FPCA:1; /*!< bit: 2 FP extension active flag */ + uint32_t _reserved0:29; /*!< bit: 3..31 Reserved */ + } b; /*!< Structure used for bit access */ + uint32_t w; /*!< Type used for word access */ +} CONTROL_Type; + +/* CONTROL Register Definitions */ +#define CONTROL_FPCA_Pos 2U /*!< CONTROL: FPCA Position */ +#define CONTROL_FPCA_Msk (1UL << CONTROL_FPCA_Pos) /*!< CONTROL: FPCA Mask */ + +#define CONTROL_SPSEL_Pos 1U /*!< CONTROL: SPSEL Position */ +#define CONTROL_SPSEL_Msk (1UL << CONTROL_SPSEL_Pos) /*!< CONTROL: SPSEL Mask */ + +#define CONTROL_nPRIV_Pos 0U /*!< CONTROL: nPRIV Position */ +#define CONTROL_nPRIV_Msk (1UL /*<< CONTROL_nPRIV_Pos*/) /*!< CONTROL: nPRIV Mask */ + +/*@} end of group CMSIS_CORE */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_NVIC Nested Vectored Interrupt Controller (NVIC) + \brief Type definitions for the NVIC Registers + @{ + */ + +/** + \brief Structure type to access the Nested Vectored Interrupt Controller (NVIC). + */ +typedef struct +{ + __IOM uint32_t ISER[8U]; /*!< Offset: 0x000 (R/W) Interrupt Set Enable Register */ + uint32_t RESERVED0[24U]; + __IOM uint32_t ICER[8U]; /*!< Offset: 0x080 (R/W) Interrupt Clear Enable Register */ + uint32_t RESERVED1[24U]; + __IOM uint32_t ISPR[8U]; /*!< Offset: 0x100 (R/W) Interrupt Set Pending Register */ + uint32_t RESERVED2[24U]; + __IOM uint32_t ICPR[8U]; /*!< Offset: 0x180 (R/W) Interrupt Clear Pending Register */ + uint32_t RESERVED3[24U]; + __IOM uint32_t IABR[8U]; /*!< Offset: 0x200 (R/W) Interrupt Active bit Register */ + uint32_t RESERVED4[56U]; + __IOM uint8_t IP[240U]; /*!< Offset: 0x300 (R/W) Interrupt Priority Register (8Bit wide) */ + uint32_t RESERVED5[644U]; + __OM uint32_t STIR; /*!< Offset: 0xE00 ( /W) Software Trigger Interrupt Register */ +} NVIC_Type; + +/* Software Triggered Interrupt Register Definitions */ +#define NVIC_STIR_INTID_Pos 0U /*!< STIR: INTLINESNUM Position */ +#define NVIC_STIR_INTID_Msk (0x1FFUL /*<< NVIC_STIR_INTID_Pos*/) /*!< STIR: INTLINESNUM Mask */ + +/*@} end of group CMSIS_NVIC */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_SCB System Control Block (SCB) + \brief Type definitions for the System Control Block Registers + @{ + */ + +/** + \brief Structure type to access the System Control Block (SCB). + */ +typedef struct +{ + __IM uint32_t CPUID; /*!< Offset: 0x000 (R/ ) CPUID Base Register */ + __IOM uint32_t ICSR; /*!< Offset: 0x004 (R/W) Interrupt Control and State Register */ + __IOM uint32_t VTOR; /*!< Offset: 0x008 (R/W) Vector Table Offset Register */ + __IOM uint32_t AIRCR; /*!< Offset: 0x00C (R/W) Application Interrupt and Reset Control Register */ + __IOM uint32_t SCR; /*!< Offset: 0x010 (R/W) System Control Register */ + __IOM uint32_t CCR; /*!< Offset: 0x014 (R/W) Configuration Control Register */ + __IOM uint8_t SHP[12U]; /*!< Offset: 0x018 (R/W) System Handlers Priority Registers (4-7, 8-11, 12-15) */ + __IOM uint32_t SHCSR; /*!< Offset: 0x024 (R/W) System Handler Control and State Register */ + __IOM uint32_t CFSR; /*!< Offset: 0x028 (R/W) Configurable Fault Status Register */ + __IOM uint32_t HFSR; /*!< Offset: 0x02C (R/W) HardFault Status Register */ + __IOM uint32_t DFSR; /*!< Offset: 0x030 (R/W) Debug Fault Status Register */ + __IOM uint32_t MMFAR; /*!< Offset: 0x034 (R/W) MemManage Fault Address Register */ + __IOM uint32_t BFAR; /*!< Offset: 0x038 (R/W) BusFault Address Register */ + __IOM uint32_t AFSR; /*!< Offset: 0x03C (R/W) Auxiliary Fault Status Register */ + __IM uint32_t PFR[2U]; /*!< Offset: 0x040 (R/ ) Processor Feature Register */ + __IM uint32_t DFR; /*!< Offset: 0x048 (R/ ) Debug Feature Register */ + __IM uint32_t ADR; /*!< Offset: 0x04C (R/ ) Auxiliary Feature Register */ + __IM uint32_t MMFR[4U]; /*!< Offset: 0x050 (R/ ) Memory Model Feature Register */ + __IM uint32_t ISAR[5U]; /*!< Offset: 0x060 (R/ ) Instruction Set Attributes Register */ + uint32_t RESERVED0[5U]; + __IOM uint32_t CPACR; /*!< Offset: 0x088 (R/W) Coprocessor Access Control Register */ +} SCB_Type; + +/* SCB CPUID Register Definitions */ +#define SCB_CPUID_IMPLEMENTER_Pos 24U /*!< SCB CPUID: IMPLEMENTER Position */ +#define SCB_CPUID_IMPLEMENTER_Msk (0xFFUL << SCB_CPUID_IMPLEMENTER_Pos) /*!< SCB CPUID: IMPLEMENTER Mask */ + +#define SCB_CPUID_VARIANT_Pos 20U /*!< SCB CPUID: VARIANT Position */ +#define SCB_CPUID_VARIANT_Msk (0xFUL << SCB_CPUID_VARIANT_Pos) /*!< SCB CPUID: VARIANT Mask */ + +#define SCB_CPUID_ARCHITECTURE_Pos 16U /*!< SCB CPUID: ARCHITECTURE Position */ +#define SCB_CPUID_ARCHITECTURE_Msk (0xFUL << SCB_CPUID_ARCHITECTURE_Pos) /*!< SCB CPUID: ARCHITECTURE Mask */ + +#define SCB_CPUID_PARTNO_Pos 4U /*!< SCB CPUID: PARTNO Position */ +#define SCB_CPUID_PARTNO_Msk (0xFFFUL << SCB_CPUID_PARTNO_Pos) /*!< SCB CPUID: PARTNO Mask */ + +#define SCB_CPUID_REVISION_Pos 0U /*!< SCB CPUID: REVISION Position */ +#define SCB_CPUID_REVISION_Msk (0xFUL /*<< SCB_CPUID_REVISION_Pos*/) /*!< SCB CPUID: REVISION Mask */ + +/* SCB Interrupt Control State Register Definitions */ +#define SCB_ICSR_NMIPENDSET_Pos 31U /*!< SCB ICSR: NMIPENDSET Position */ +#define SCB_ICSR_NMIPENDSET_Msk (1UL << SCB_ICSR_NMIPENDSET_Pos) /*!< SCB ICSR: NMIPENDSET Mask */ + +#define SCB_ICSR_PENDSVSET_Pos 28U /*!< SCB ICSR: PENDSVSET Position */ +#define SCB_ICSR_PENDSVSET_Msk (1UL << SCB_ICSR_PENDSVSET_Pos) /*!< SCB ICSR: PENDSVSET Mask */ + +#define SCB_ICSR_PENDSVCLR_Pos 27U /*!< SCB ICSR: PENDSVCLR Position */ +#define SCB_ICSR_PENDSVCLR_Msk (1UL << SCB_ICSR_PENDSVCLR_Pos) /*!< SCB ICSR: PENDSVCLR Mask */ + +#define SCB_ICSR_PENDSTSET_Pos 26U /*!< SCB ICSR: PENDSTSET Position */ +#define SCB_ICSR_PENDSTSET_Msk (1UL << SCB_ICSR_PENDSTSET_Pos) /*!< SCB ICSR: PENDSTSET Mask */ + +#define SCB_ICSR_PENDSTCLR_Pos 25U /*!< SCB ICSR: PENDSTCLR Position */ +#define SCB_ICSR_PENDSTCLR_Msk (1UL << SCB_ICSR_PENDSTCLR_Pos) /*!< SCB ICSR: PENDSTCLR Mask */ + +#define SCB_ICSR_ISRPREEMPT_Pos 23U /*!< SCB ICSR: ISRPREEMPT Position */ +#define SCB_ICSR_ISRPREEMPT_Msk (1UL << SCB_ICSR_ISRPREEMPT_Pos) /*!< SCB ICSR: ISRPREEMPT Mask */ + +#define SCB_ICSR_ISRPENDING_Pos 22U /*!< SCB ICSR: ISRPENDING Position */ +#define SCB_ICSR_ISRPENDING_Msk (1UL << SCB_ICSR_ISRPENDING_Pos) /*!< SCB ICSR: ISRPENDING Mask */ + +#define SCB_ICSR_VECTPENDING_Pos 12U /*!< SCB ICSR: VECTPENDING Position */ +#define SCB_ICSR_VECTPENDING_Msk (0x1FFUL << SCB_ICSR_VECTPENDING_Pos) /*!< SCB ICSR: VECTPENDING Mask */ + +#define SCB_ICSR_RETTOBASE_Pos 11U /*!< SCB ICSR: RETTOBASE Position */ +#define SCB_ICSR_RETTOBASE_Msk (1UL << SCB_ICSR_RETTOBASE_Pos) /*!< SCB ICSR: RETTOBASE Mask */ + +#define SCB_ICSR_VECTACTIVE_Pos 0U /*!< SCB ICSR: VECTACTIVE Position */ +#define SCB_ICSR_VECTACTIVE_Msk (0x1FFUL /*<< SCB_ICSR_VECTACTIVE_Pos*/) /*!< SCB ICSR: VECTACTIVE Mask */ + +/* SCB Vector Table Offset Register Definitions */ +#define SCB_VTOR_TBLOFF_Pos 7U /*!< SCB VTOR: TBLOFF Position */ +#define SCB_VTOR_TBLOFF_Msk (0x1FFFFFFUL << SCB_VTOR_TBLOFF_Pos) /*!< SCB VTOR: TBLOFF Mask */ + +/* SCB Application Interrupt and Reset Control Register Definitions */ +#define SCB_AIRCR_VECTKEY_Pos 16U /*!< SCB AIRCR: VECTKEY Position */ +#define SCB_AIRCR_VECTKEY_Msk (0xFFFFUL << SCB_AIRCR_VECTKEY_Pos) /*!< SCB AIRCR: VECTKEY Mask */ + +#define SCB_AIRCR_VECTKEYSTAT_Pos 16U /*!< SCB AIRCR: VECTKEYSTAT Position */ +#define SCB_AIRCR_VECTKEYSTAT_Msk (0xFFFFUL << SCB_AIRCR_VECTKEYSTAT_Pos) /*!< SCB AIRCR: VECTKEYSTAT Mask */ + +#define SCB_AIRCR_ENDIANESS_Pos 15U /*!< SCB AIRCR: ENDIANESS Position */ +#define SCB_AIRCR_ENDIANESS_Msk (1UL << SCB_AIRCR_ENDIANESS_Pos) /*!< SCB AIRCR: ENDIANESS Mask */ + +#define SCB_AIRCR_PRIGROUP_Pos 8U /*!< SCB AIRCR: PRIGROUP Position */ +#define SCB_AIRCR_PRIGROUP_Msk (7UL << SCB_AIRCR_PRIGROUP_Pos) /*!< SCB AIRCR: PRIGROUP Mask */ + +#define SCB_AIRCR_SYSRESETREQ_Pos 2U /*!< SCB AIRCR: SYSRESETREQ Position */ +#define SCB_AIRCR_SYSRESETREQ_Msk (1UL << SCB_AIRCR_SYSRESETREQ_Pos) /*!< SCB AIRCR: SYSRESETREQ Mask */ + +#define SCB_AIRCR_VECTCLRACTIVE_Pos 1U /*!< SCB AIRCR: VECTCLRACTIVE Position */ +#define SCB_AIRCR_VECTCLRACTIVE_Msk (1UL << SCB_AIRCR_VECTCLRACTIVE_Pos) /*!< SCB AIRCR: VECTCLRACTIVE Mask */ + +#define SCB_AIRCR_VECTRESET_Pos 0U /*!< SCB AIRCR: VECTRESET Position */ +#define SCB_AIRCR_VECTRESET_Msk (1UL /*<< SCB_AIRCR_VECTRESET_Pos*/) /*!< SCB AIRCR: VECTRESET Mask */ + +/* SCB System Control Register Definitions */ +#define SCB_SCR_SEVONPEND_Pos 4U /*!< SCB SCR: SEVONPEND Position */ +#define SCB_SCR_SEVONPEND_Msk (1UL << SCB_SCR_SEVONPEND_Pos) /*!< SCB SCR: SEVONPEND Mask */ + +#define SCB_SCR_SLEEPDEEP_Pos 2U /*!< SCB SCR: SLEEPDEEP Position */ +#define SCB_SCR_SLEEPDEEP_Msk (1UL << SCB_SCR_SLEEPDEEP_Pos) /*!< SCB SCR: SLEEPDEEP Mask */ + +#define SCB_SCR_SLEEPONEXIT_Pos 1U /*!< SCB SCR: SLEEPONEXIT Position */ +#define SCB_SCR_SLEEPONEXIT_Msk (1UL << SCB_SCR_SLEEPONEXIT_Pos) /*!< SCB SCR: SLEEPONEXIT Mask */ + +/* SCB Configuration Control Register Definitions */ +#define SCB_CCR_STKALIGN_Pos 9U /*!< SCB CCR: STKALIGN Position */ +#define SCB_CCR_STKALIGN_Msk (1UL << SCB_CCR_STKALIGN_Pos) /*!< SCB CCR: STKALIGN Mask */ + +#define SCB_CCR_BFHFNMIGN_Pos 8U /*!< SCB CCR: BFHFNMIGN Position */ +#define SCB_CCR_BFHFNMIGN_Msk (1UL << SCB_CCR_BFHFNMIGN_Pos) /*!< SCB CCR: BFHFNMIGN Mask */ + +#define SCB_CCR_DIV_0_TRP_Pos 4U /*!< SCB CCR: DIV_0_TRP Position */ +#define SCB_CCR_DIV_0_TRP_Msk (1UL << SCB_CCR_DIV_0_TRP_Pos) /*!< SCB CCR: DIV_0_TRP Mask */ + +#define SCB_CCR_UNALIGN_TRP_Pos 3U /*!< SCB CCR: UNALIGN_TRP Position */ +#define SCB_CCR_UNALIGN_TRP_Msk (1UL << SCB_CCR_UNALIGN_TRP_Pos) /*!< SCB CCR: UNALIGN_TRP Mask */ + +#define SCB_CCR_USERSETMPEND_Pos 1U /*!< SCB CCR: USERSETMPEND Position */ +#define SCB_CCR_USERSETMPEND_Msk (1UL << SCB_CCR_USERSETMPEND_Pos) /*!< SCB CCR: USERSETMPEND Mask */ + +#define SCB_CCR_NONBASETHRDENA_Pos 0U /*!< SCB CCR: NONBASETHRDENA Position */ +#define SCB_CCR_NONBASETHRDENA_Msk (1UL /*<< SCB_CCR_NONBASETHRDENA_Pos*/) /*!< SCB CCR: NONBASETHRDENA Mask */ + +/* SCB System Handler Control and State Register Definitions */ +#define SCB_SHCSR_USGFAULTENA_Pos 18U /*!< SCB SHCSR: USGFAULTENA Position */ +#define SCB_SHCSR_USGFAULTENA_Msk (1UL << SCB_SHCSR_USGFAULTENA_Pos) /*!< SCB SHCSR: USGFAULTENA Mask */ + +#define SCB_SHCSR_BUSFAULTENA_Pos 17U /*!< SCB SHCSR: BUSFAULTENA Position */ +#define SCB_SHCSR_BUSFAULTENA_Msk (1UL << SCB_SHCSR_BUSFAULTENA_Pos) /*!< SCB SHCSR: BUSFAULTENA Mask */ + +#define SCB_SHCSR_MEMFAULTENA_Pos 16U /*!< SCB SHCSR: MEMFAULTENA Position */ +#define SCB_SHCSR_MEMFAULTENA_Msk (1UL << SCB_SHCSR_MEMFAULTENA_Pos) /*!< SCB SHCSR: MEMFAULTENA Mask */ + +#define SCB_SHCSR_SVCALLPENDED_Pos 15U /*!< SCB SHCSR: SVCALLPENDED Position */ +#define SCB_SHCSR_SVCALLPENDED_Msk (1UL << SCB_SHCSR_SVCALLPENDED_Pos) /*!< SCB SHCSR: SVCALLPENDED Mask */ + +#define SCB_SHCSR_BUSFAULTPENDED_Pos 14U /*!< SCB SHCSR: BUSFAULTPENDED Position */ +#define SCB_SHCSR_BUSFAULTPENDED_Msk (1UL << SCB_SHCSR_BUSFAULTPENDED_Pos) /*!< SCB SHCSR: BUSFAULTPENDED Mask */ + +#define SCB_SHCSR_MEMFAULTPENDED_Pos 13U /*!< SCB SHCSR: MEMFAULTPENDED Position */ +#define SCB_SHCSR_MEMFAULTPENDED_Msk (1UL << SCB_SHCSR_MEMFAULTPENDED_Pos) /*!< SCB SHCSR: MEMFAULTPENDED Mask */ + +#define SCB_SHCSR_USGFAULTPENDED_Pos 12U /*!< SCB SHCSR: USGFAULTPENDED Position */ +#define SCB_SHCSR_USGFAULTPENDED_Msk (1UL << SCB_SHCSR_USGFAULTPENDED_Pos) /*!< SCB SHCSR: USGFAULTPENDED Mask */ + +#define SCB_SHCSR_SYSTICKACT_Pos 11U /*!< SCB SHCSR: SYSTICKACT Position */ +#define SCB_SHCSR_SYSTICKACT_Msk (1UL << SCB_SHCSR_SYSTICKACT_Pos) /*!< SCB SHCSR: SYSTICKACT Mask */ + +#define SCB_SHCSR_PENDSVACT_Pos 10U /*!< SCB SHCSR: PENDSVACT Position */ +#define SCB_SHCSR_PENDSVACT_Msk (1UL << SCB_SHCSR_PENDSVACT_Pos) /*!< SCB SHCSR: PENDSVACT Mask */ + +#define SCB_SHCSR_MONITORACT_Pos 8U /*!< SCB SHCSR: MONITORACT Position */ +#define SCB_SHCSR_MONITORACT_Msk (1UL << SCB_SHCSR_MONITORACT_Pos) /*!< SCB SHCSR: MONITORACT Mask */ + +#define SCB_SHCSR_SVCALLACT_Pos 7U /*!< SCB SHCSR: SVCALLACT Position */ +#define SCB_SHCSR_SVCALLACT_Msk (1UL << SCB_SHCSR_SVCALLACT_Pos) /*!< SCB SHCSR: SVCALLACT Mask */ + +#define SCB_SHCSR_USGFAULTACT_Pos 3U /*!< SCB SHCSR: USGFAULTACT Position */ +#define SCB_SHCSR_USGFAULTACT_Msk (1UL << SCB_SHCSR_USGFAULTACT_Pos) /*!< SCB SHCSR: USGFAULTACT Mask */ + +#define SCB_SHCSR_BUSFAULTACT_Pos 1U /*!< SCB SHCSR: BUSFAULTACT Position */ +#define SCB_SHCSR_BUSFAULTACT_Msk (1UL << SCB_SHCSR_BUSFAULTACT_Pos) /*!< SCB SHCSR: BUSFAULTACT Mask */ + +#define SCB_SHCSR_MEMFAULTACT_Pos 0U /*!< SCB SHCSR: MEMFAULTACT Position */ +#define SCB_SHCSR_MEMFAULTACT_Msk (1UL /*<< SCB_SHCSR_MEMFAULTACT_Pos*/) /*!< SCB SHCSR: MEMFAULTACT Mask */ + +/* SCB Configurable Fault Status Register Definitions */ +#define SCB_CFSR_USGFAULTSR_Pos 16U /*!< SCB CFSR: Usage Fault Status Register Position */ +#define SCB_CFSR_USGFAULTSR_Msk (0xFFFFUL << SCB_CFSR_USGFAULTSR_Pos) /*!< SCB CFSR: Usage Fault Status Register Mask */ + +#define SCB_CFSR_BUSFAULTSR_Pos 8U /*!< SCB CFSR: Bus Fault Status Register Position */ +#define SCB_CFSR_BUSFAULTSR_Msk (0xFFUL << SCB_CFSR_BUSFAULTSR_Pos) /*!< SCB CFSR: Bus Fault Status Register Mask */ + +#define SCB_CFSR_MEMFAULTSR_Pos 0U /*!< SCB CFSR: Memory Manage Fault Status Register Position */ +#define SCB_CFSR_MEMFAULTSR_Msk (0xFFUL /*<< SCB_CFSR_MEMFAULTSR_Pos*/) /*!< SCB CFSR: Memory Manage Fault Status Register Mask */ + +/* MemManage Fault Status Register (part of SCB Configurable Fault Status Register) */ +#define SCB_CFSR_MMARVALID_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 7U) /*!< SCB CFSR (MMFSR): MMARVALID Position */ +#define SCB_CFSR_MMARVALID_Msk (1UL << SCB_CFSR_MMARVALID_Pos) /*!< SCB CFSR (MMFSR): MMARVALID Mask */ + +#define SCB_CFSR_MLSPERR_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 5U) /*!< SCB CFSR (MMFSR): MLSPERR Position */ +#define SCB_CFSR_MLSPERR_Msk (1UL << SCB_CFSR_MLSPERR_Pos) /*!< SCB CFSR (MMFSR): MLSPERR Mask */ + +#define SCB_CFSR_MSTKERR_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 4U) /*!< SCB CFSR (MMFSR): MSTKERR Position */ +#define SCB_CFSR_MSTKERR_Msk (1UL << SCB_CFSR_MSTKERR_Pos) /*!< SCB CFSR (MMFSR): MSTKERR Mask */ + +#define SCB_CFSR_MUNSTKERR_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 3U) /*!< SCB CFSR (MMFSR): MUNSTKERR Position */ +#define SCB_CFSR_MUNSTKERR_Msk (1UL << SCB_CFSR_MUNSTKERR_Pos) /*!< SCB CFSR (MMFSR): MUNSTKERR Mask */ + +#define SCB_CFSR_DACCVIOL_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 1U) /*!< SCB CFSR (MMFSR): DACCVIOL Position */ +#define SCB_CFSR_DACCVIOL_Msk (1UL << SCB_CFSR_DACCVIOL_Pos) /*!< SCB CFSR (MMFSR): DACCVIOL Mask */ + +#define SCB_CFSR_IACCVIOL_Pos (SCB_SHCSR_MEMFAULTACT_Pos + 0U) /*!< SCB CFSR (MMFSR): IACCVIOL Position */ +#define SCB_CFSR_IACCVIOL_Msk (1UL /*<< SCB_CFSR_IACCVIOL_Pos*/) /*!< SCB CFSR (MMFSR): IACCVIOL Mask */ + +/* BusFault Status Register (part of SCB Configurable Fault Status Register) */ +#define SCB_CFSR_BFARVALID_Pos (SCB_CFSR_BUSFAULTSR_Pos + 7U) /*!< SCB CFSR (BFSR): BFARVALID Position */ +#define SCB_CFSR_BFARVALID_Msk (1UL << SCB_CFSR_BFARVALID_Pos) /*!< SCB CFSR (BFSR): BFARVALID Mask */ + +#define SCB_CFSR_LSPERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 5U) /*!< SCB CFSR (BFSR): LSPERR Position */ +#define SCB_CFSR_LSPERR_Msk (1UL << SCB_CFSR_LSPERR_Pos) /*!< SCB CFSR (BFSR): LSPERR Mask */ + +#define SCB_CFSR_STKERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 4U) /*!< SCB CFSR (BFSR): STKERR Position */ +#define SCB_CFSR_STKERR_Msk (1UL << SCB_CFSR_STKERR_Pos) /*!< SCB CFSR (BFSR): STKERR Mask */ + +#define SCB_CFSR_UNSTKERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 3U) /*!< SCB CFSR (BFSR): UNSTKERR Position */ +#define SCB_CFSR_UNSTKERR_Msk (1UL << SCB_CFSR_UNSTKERR_Pos) /*!< SCB CFSR (BFSR): UNSTKERR Mask */ + +#define SCB_CFSR_IMPRECISERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 2U) /*!< SCB CFSR (BFSR): IMPRECISERR Position */ +#define SCB_CFSR_IMPRECISERR_Msk (1UL << SCB_CFSR_IMPRECISERR_Pos) /*!< SCB CFSR (BFSR): IMPRECISERR Mask */ + +#define SCB_CFSR_PRECISERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 1U) /*!< SCB CFSR (BFSR): PRECISERR Position */ +#define SCB_CFSR_PRECISERR_Msk (1UL << SCB_CFSR_PRECISERR_Pos) /*!< SCB CFSR (BFSR): PRECISERR Mask */ + +#define SCB_CFSR_IBUSERR_Pos (SCB_CFSR_BUSFAULTSR_Pos + 0U) /*!< SCB CFSR (BFSR): IBUSERR Position */ +#define SCB_CFSR_IBUSERR_Msk (1UL << SCB_CFSR_IBUSERR_Pos) /*!< SCB CFSR (BFSR): IBUSERR Mask */ + +/* UsageFault Status Register (part of SCB Configurable Fault Status Register) */ +#define SCB_CFSR_DIVBYZERO_Pos (SCB_CFSR_USGFAULTSR_Pos + 9U) /*!< SCB CFSR (UFSR): DIVBYZERO Position */ +#define SCB_CFSR_DIVBYZERO_Msk (1UL << SCB_CFSR_DIVBYZERO_Pos) /*!< SCB CFSR (UFSR): DIVBYZERO Mask */ + +#define SCB_CFSR_UNALIGNED_Pos (SCB_CFSR_USGFAULTSR_Pos + 8U) /*!< SCB CFSR (UFSR): UNALIGNED Position */ +#define SCB_CFSR_UNALIGNED_Msk (1UL << SCB_CFSR_UNALIGNED_Pos) /*!< SCB CFSR (UFSR): UNALIGNED Mask */ + +#define SCB_CFSR_NOCP_Pos (SCB_CFSR_USGFAULTSR_Pos + 3U) /*!< SCB CFSR (UFSR): NOCP Position */ +#define SCB_CFSR_NOCP_Msk (1UL << SCB_CFSR_NOCP_Pos) /*!< SCB CFSR (UFSR): NOCP Mask */ + +#define SCB_CFSR_INVPC_Pos (SCB_CFSR_USGFAULTSR_Pos + 2U) /*!< SCB CFSR (UFSR): INVPC Position */ +#define SCB_CFSR_INVPC_Msk (1UL << SCB_CFSR_INVPC_Pos) /*!< SCB CFSR (UFSR): INVPC Mask */ + +#define SCB_CFSR_INVSTATE_Pos (SCB_CFSR_USGFAULTSR_Pos + 1U) /*!< SCB CFSR (UFSR): INVSTATE Position */ +#define SCB_CFSR_INVSTATE_Msk (1UL << SCB_CFSR_INVSTATE_Pos) /*!< SCB CFSR (UFSR): INVSTATE Mask */ + +#define SCB_CFSR_UNDEFINSTR_Pos (SCB_CFSR_USGFAULTSR_Pos + 0U) /*!< SCB CFSR (UFSR): UNDEFINSTR Position */ +#define SCB_CFSR_UNDEFINSTR_Msk (1UL << SCB_CFSR_UNDEFINSTR_Pos) /*!< SCB CFSR (UFSR): UNDEFINSTR Mask */ + +/* SCB Hard Fault Status Register Definitions */ +#define SCB_HFSR_DEBUGEVT_Pos 31U /*!< SCB HFSR: DEBUGEVT Position */ +#define SCB_HFSR_DEBUGEVT_Msk (1UL << SCB_HFSR_DEBUGEVT_Pos) /*!< SCB HFSR: DEBUGEVT Mask */ + +#define SCB_HFSR_FORCED_Pos 30U /*!< SCB HFSR: FORCED Position */ +#define SCB_HFSR_FORCED_Msk (1UL << SCB_HFSR_FORCED_Pos) /*!< SCB HFSR: FORCED Mask */ + +#define SCB_HFSR_VECTTBL_Pos 1U /*!< SCB HFSR: VECTTBL Position */ +#define SCB_HFSR_VECTTBL_Msk (1UL << SCB_HFSR_VECTTBL_Pos) /*!< SCB HFSR: VECTTBL Mask */ + +/* SCB Debug Fault Status Register Definitions */ +#define SCB_DFSR_EXTERNAL_Pos 4U /*!< SCB DFSR: EXTERNAL Position */ +#define SCB_DFSR_EXTERNAL_Msk (1UL << SCB_DFSR_EXTERNAL_Pos) /*!< SCB DFSR: EXTERNAL Mask */ + +#define SCB_DFSR_VCATCH_Pos 3U /*!< SCB DFSR: VCATCH Position */ +#define SCB_DFSR_VCATCH_Msk (1UL << SCB_DFSR_VCATCH_Pos) /*!< SCB DFSR: VCATCH Mask */ + +#define SCB_DFSR_DWTTRAP_Pos 2U /*!< SCB DFSR: DWTTRAP Position */ +#define SCB_DFSR_DWTTRAP_Msk (1UL << SCB_DFSR_DWTTRAP_Pos) /*!< SCB DFSR: DWTTRAP Mask */ + +#define SCB_DFSR_BKPT_Pos 1U /*!< SCB DFSR: BKPT Position */ +#define SCB_DFSR_BKPT_Msk (1UL << SCB_DFSR_BKPT_Pos) /*!< SCB DFSR: BKPT Mask */ + +#define SCB_DFSR_HALTED_Pos 0U /*!< SCB DFSR: HALTED Position */ +#define SCB_DFSR_HALTED_Msk (1UL /*<< SCB_DFSR_HALTED_Pos*/) /*!< SCB DFSR: HALTED Mask */ + +/*@} end of group CMSIS_SCB */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_SCnSCB System Controls not in SCB (SCnSCB) + \brief Type definitions for the System Control and ID Register not in the SCB + @{ + */ + +/** + \brief Structure type to access the System Control and ID Register not in the SCB. + */ +typedef struct +{ + uint32_t RESERVED0[1U]; + __IM uint32_t ICTR; /*!< Offset: 0x004 (R/ ) Interrupt Controller Type Register */ + __IOM uint32_t ACTLR; /*!< Offset: 0x008 (R/W) Auxiliary Control Register */ +} SCnSCB_Type; + +/* Interrupt Controller Type Register Definitions */ +#define SCnSCB_ICTR_INTLINESNUM_Pos 0U /*!< ICTR: INTLINESNUM Position */ +#define SCnSCB_ICTR_INTLINESNUM_Msk (0xFUL /*<< SCnSCB_ICTR_INTLINESNUM_Pos*/) /*!< ICTR: INTLINESNUM Mask */ + +/* Auxiliary Control Register Definitions */ +#define SCnSCB_ACTLR_DISOOFP_Pos 9U /*!< ACTLR: DISOOFP Position */ +#define SCnSCB_ACTLR_DISOOFP_Msk (1UL << SCnSCB_ACTLR_DISOOFP_Pos) /*!< ACTLR: DISOOFP Mask */ + +#define SCnSCB_ACTLR_DISFPCA_Pos 8U /*!< ACTLR: DISFPCA Position */ +#define SCnSCB_ACTLR_DISFPCA_Msk (1UL << SCnSCB_ACTLR_DISFPCA_Pos) /*!< ACTLR: DISFPCA Mask */ + +#define SCnSCB_ACTLR_DISFOLD_Pos 2U /*!< ACTLR: DISFOLD Position */ +#define SCnSCB_ACTLR_DISFOLD_Msk (1UL << SCnSCB_ACTLR_DISFOLD_Pos) /*!< ACTLR: DISFOLD Mask */ + +#define SCnSCB_ACTLR_DISDEFWBUF_Pos 1U /*!< ACTLR: DISDEFWBUF Position */ +#define SCnSCB_ACTLR_DISDEFWBUF_Msk (1UL << SCnSCB_ACTLR_DISDEFWBUF_Pos) /*!< ACTLR: DISDEFWBUF Mask */ + +#define SCnSCB_ACTLR_DISMCYCINT_Pos 0U /*!< ACTLR: DISMCYCINT Position */ +#define SCnSCB_ACTLR_DISMCYCINT_Msk (1UL /*<< SCnSCB_ACTLR_DISMCYCINT_Pos*/) /*!< ACTLR: DISMCYCINT Mask */ + +/*@} end of group CMSIS_SCnotSCB */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_SysTick System Tick Timer (SysTick) + \brief Type definitions for the System Timer Registers. + @{ + */ + +/** + \brief Structure type to access the System Timer (SysTick). + */ +typedef struct +{ + __IOM uint32_t CTRL; /*!< Offset: 0x000 (R/W) SysTick Control and Status Register */ + __IOM uint32_t LOAD; /*!< Offset: 0x004 (R/W) SysTick Reload Value Register */ + __IOM uint32_t VAL; /*!< Offset: 0x008 (R/W) SysTick Current Value Register */ + __IM uint32_t CALIB; /*!< Offset: 0x00C (R/ ) SysTick Calibration Register */ +} SysTick_Type; + +/* SysTick Control / Status Register Definitions */ +#define SysTick_CTRL_COUNTFLAG_Pos 16U /*!< SysTick CTRL: COUNTFLAG Position */ +#define SysTick_CTRL_COUNTFLAG_Msk (1UL << SysTick_CTRL_COUNTFLAG_Pos) /*!< SysTick CTRL: COUNTFLAG Mask */ + +#define SysTick_CTRL_CLKSOURCE_Pos 2U /*!< SysTick CTRL: CLKSOURCE Position */ +#define SysTick_CTRL_CLKSOURCE_Msk (1UL << SysTick_CTRL_CLKSOURCE_Pos) /*!< SysTick CTRL: CLKSOURCE Mask */ + +#define SysTick_CTRL_TICKINT_Pos 1U /*!< SysTick CTRL: TICKINT Position */ +#define SysTick_CTRL_TICKINT_Msk (1UL << SysTick_CTRL_TICKINT_Pos) /*!< SysTick CTRL: TICKINT Mask */ + +#define SysTick_CTRL_ENABLE_Pos 0U /*!< SysTick CTRL: ENABLE Position */ +#define SysTick_CTRL_ENABLE_Msk (1UL /*<< SysTick_CTRL_ENABLE_Pos*/) /*!< SysTick CTRL: ENABLE Mask */ + +/* SysTick Reload Register Definitions */ +#define SysTick_LOAD_RELOAD_Pos 0U /*!< SysTick LOAD: RELOAD Position */ +#define SysTick_LOAD_RELOAD_Msk (0xFFFFFFUL /*<< SysTick_LOAD_RELOAD_Pos*/) /*!< SysTick LOAD: RELOAD Mask */ + +/* SysTick Current Register Definitions */ +#define SysTick_VAL_CURRENT_Pos 0U /*!< SysTick VAL: CURRENT Position */ +#define SysTick_VAL_CURRENT_Msk (0xFFFFFFUL /*<< SysTick_VAL_CURRENT_Pos*/) /*!< SysTick VAL: CURRENT Mask */ + +/* SysTick Calibration Register Definitions */ +#define SysTick_CALIB_NOREF_Pos 31U /*!< SysTick CALIB: NOREF Position */ +#define SysTick_CALIB_NOREF_Msk (1UL << SysTick_CALIB_NOREF_Pos) /*!< SysTick CALIB: NOREF Mask */ + +#define SysTick_CALIB_SKEW_Pos 30U /*!< SysTick CALIB: SKEW Position */ +#define SysTick_CALIB_SKEW_Msk (1UL << SysTick_CALIB_SKEW_Pos) /*!< SysTick CALIB: SKEW Mask */ + +#define SysTick_CALIB_TENMS_Pos 0U /*!< SysTick CALIB: TENMS Position */ +#define SysTick_CALIB_TENMS_Msk (0xFFFFFFUL /*<< SysTick_CALIB_TENMS_Pos*/) /*!< SysTick CALIB: TENMS Mask */ + +/*@} end of group CMSIS_SysTick */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_ITM Instrumentation Trace Macrocell (ITM) + \brief Type definitions for the Instrumentation Trace Macrocell (ITM) + @{ + */ + +/** + \brief Structure type to access the Instrumentation Trace Macrocell Register (ITM). + */ +typedef struct +{ + __OM union + { + __OM uint8_t u8; /*!< Offset: 0x000 ( /W) ITM Stimulus Port 8-bit */ + __OM uint16_t u16; /*!< Offset: 0x000 ( /W) ITM Stimulus Port 16-bit */ + __OM uint32_t u32; /*!< Offset: 0x000 ( /W) ITM Stimulus Port 32-bit */ + } PORT [32U]; /*!< Offset: 0x000 ( /W) ITM Stimulus Port Registers */ + uint32_t RESERVED0[864U]; + __IOM uint32_t TER; /*!< Offset: 0xE00 (R/W) ITM Trace Enable Register */ + uint32_t RESERVED1[15U]; + __IOM uint32_t TPR; /*!< Offset: 0xE40 (R/W) ITM Trace Privilege Register */ + uint32_t RESERVED2[15U]; + __IOM uint32_t TCR; /*!< Offset: 0xE80 (R/W) ITM Trace Control Register */ + uint32_t RESERVED3[32U]; + uint32_t RESERVED4[43U]; + __OM uint32_t LAR; /*!< Offset: 0xFB0 ( /W) ITM Lock Access Register */ + __IM uint32_t LSR; /*!< Offset: 0xFB4 (R/ ) ITM Lock Status Register */ + uint32_t RESERVED5[6U]; + __IM uint32_t PID4; /*!< Offset: 0xFD0 (R/ ) ITM Peripheral Identification Register #4 */ + __IM uint32_t PID5; /*!< Offset: 0xFD4 (R/ ) ITM Peripheral Identification Register #5 */ + __IM uint32_t PID6; /*!< Offset: 0xFD8 (R/ ) ITM Peripheral Identification Register #6 */ + __IM uint32_t PID7; /*!< Offset: 0xFDC (R/ ) ITM Peripheral Identification Register #7 */ + __IM uint32_t PID0; /*!< Offset: 0xFE0 (R/ ) ITM Peripheral Identification Register #0 */ + __IM uint32_t PID1; /*!< Offset: 0xFE4 (R/ ) ITM Peripheral Identification Register #1 */ + __IM uint32_t PID2; /*!< Offset: 0xFE8 (R/ ) ITM Peripheral Identification Register #2 */ + __IM uint32_t PID3; /*!< Offset: 0xFEC (R/ ) ITM Peripheral Identification Register #3 */ + __IM uint32_t CID0; /*!< Offset: 0xFF0 (R/ ) ITM Component Identification Register #0 */ + __IM uint32_t CID1; /*!< Offset: 0xFF4 (R/ ) ITM Component Identification Register #1 */ + __IM uint32_t CID2; /*!< Offset: 0xFF8 (R/ ) ITM Component Identification Register #2 */ + __IM uint32_t CID3; /*!< Offset: 0xFFC (R/ ) ITM Component Identification Register #3 */ +} ITM_Type; + +/* ITM Trace Privilege Register Definitions */ +#define ITM_TPR_PRIVMASK_Pos 0U /*!< ITM TPR: PRIVMASK Position */ +#define ITM_TPR_PRIVMASK_Msk (0xFFFFFFFFUL /*<< ITM_TPR_PRIVMASK_Pos*/) /*!< ITM TPR: PRIVMASK Mask */ + +/* ITM Trace Control Register Definitions */ +#define ITM_TCR_BUSY_Pos 23U /*!< ITM TCR: BUSY Position */ +#define ITM_TCR_BUSY_Msk (1UL << ITM_TCR_BUSY_Pos) /*!< ITM TCR: BUSY Mask */ + +#define ITM_TCR_TraceBusID_Pos 16U /*!< ITM TCR: ATBID Position */ +#define ITM_TCR_TraceBusID_Msk (0x7FUL << ITM_TCR_TraceBusID_Pos) /*!< ITM TCR: ATBID Mask */ + +#define ITM_TCR_GTSFREQ_Pos 10U /*!< ITM TCR: Global timestamp frequency Position */ +#define ITM_TCR_GTSFREQ_Msk (3UL << ITM_TCR_GTSFREQ_Pos) /*!< ITM TCR: Global timestamp frequency Mask */ + +#define ITM_TCR_TSPrescale_Pos 8U /*!< ITM TCR: TSPrescale Position */ +#define ITM_TCR_TSPrescale_Msk (3UL << ITM_TCR_TSPrescale_Pos) /*!< ITM TCR: TSPrescale Mask */ + +#define ITM_TCR_SWOENA_Pos 4U /*!< ITM TCR: SWOENA Position */ +#define ITM_TCR_SWOENA_Msk (1UL << ITM_TCR_SWOENA_Pos) /*!< ITM TCR: SWOENA Mask */ + +#define ITM_TCR_DWTENA_Pos 3U /*!< ITM TCR: DWTENA Position */ +#define ITM_TCR_DWTENA_Msk (1UL << ITM_TCR_DWTENA_Pos) /*!< ITM TCR: DWTENA Mask */ + +#define ITM_TCR_SYNCENA_Pos 2U /*!< ITM TCR: SYNCENA Position */ +#define ITM_TCR_SYNCENA_Msk (1UL << ITM_TCR_SYNCENA_Pos) /*!< ITM TCR: SYNCENA Mask */ + +#define ITM_TCR_TSENA_Pos 1U /*!< ITM TCR: TSENA Position */ +#define ITM_TCR_TSENA_Msk (1UL << ITM_TCR_TSENA_Pos) /*!< ITM TCR: TSENA Mask */ + +#define ITM_TCR_ITMENA_Pos 0U /*!< ITM TCR: ITM Enable bit Position */ +#define ITM_TCR_ITMENA_Msk (1UL /*<< ITM_TCR_ITMENA_Pos*/) /*!< ITM TCR: ITM Enable bit Mask */ + +/* ITM Lock Status Register Definitions */ +#define ITM_LSR_ByteAcc_Pos 2U /*!< ITM LSR: ByteAcc Position */ +#define ITM_LSR_ByteAcc_Msk (1UL << ITM_LSR_ByteAcc_Pos) /*!< ITM LSR: ByteAcc Mask */ + +#define ITM_LSR_Access_Pos 1U /*!< ITM LSR: Access Position */ +#define ITM_LSR_Access_Msk (1UL << ITM_LSR_Access_Pos) /*!< ITM LSR: Access Mask */ + +#define ITM_LSR_Present_Pos 0U /*!< ITM LSR: Present Position */ +#define ITM_LSR_Present_Msk (1UL /*<< ITM_LSR_Present_Pos*/) /*!< ITM LSR: Present Mask */ + +/*@}*/ /* end of group CMSIS_ITM */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_DWT Data Watchpoint and Trace (DWT) + \brief Type definitions for the Data Watchpoint and Trace (DWT) + @{ + */ + +/** + \brief Structure type to access the Data Watchpoint and Trace Register (DWT). + */ +typedef struct +{ + __IOM uint32_t CTRL; /*!< Offset: 0x000 (R/W) Control Register */ + __IOM uint32_t CYCCNT; /*!< Offset: 0x004 (R/W) Cycle Count Register */ + __IOM uint32_t CPICNT; /*!< Offset: 0x008 (R/W) CPI Count Register */ + __IOM uint32_t EXCCNT; /*!< Offset: 0x00C (R/W) Exception Overhead Count Register */ + __IOM uint32_t SLEEPCNT; /*!< Offset: 0x010 (R/W) Sleep Count Register */ + __IOM uint32_t LSUCNT; /*!< Offset: 0x014 (R/W) LSU Count Register */ + __IOM uint32_t FOLDCNT; /*!< Offset: 0x018 (R/W) Folded-instruction Count Register */ + __IM uint32_t PCSR; /*!< Offset: 0x01C (R/ ) Program Counter Sample Register */ + __IOM uint32_t COMP0; /*!< Offset: 0x020 (R/W) Comparator Register 0 */ + __IOM uint32_t MASK0; /*!< Offset: 0x024 (R/W) Mask Register 0 */ + __IOM uint32_t FUNCTION0; /*!< Offset: 0x028 (R/W) Function Register 0 */ + uint32_t RESERVED0[1U]; + __IOM uint32_t COMP1; /*!< Offset: 0x030 (R/W) Comparator Register 1 */ + __IOM uint32_t MASK1; /*!< Offset: 0x034 (R/W) Mask Register 1 */ + __IOM uint32_t FUNCTION1; /*!< Offset: 0x038 (R/W) Function Register 1 */ + uint32_t RESERVED1[1U]; + __IOM uint32_t COMP2; /*!< Offset: 0x040 (R/W) Comparator Register 2 */ + __IOM uint32_t MASK2; /*!< Offset: 0x044 (R/W) Mask Register 2 */ + __IOM uint32_t FUNCTION2; /*!< Offset: 0x048 (R/W) Function Register 2 */ + uint32_t RESERVED2[1U]; + __IOM uint32_t COMP3; /*!< Offset: 0x050 (R/W) Comparator Register 3 */ + __IOM uint32_t MASK3; /*!< Offset: 0x054 (R/W) Mask Register 3 */ + __IOM uint32_t FUNCTION3; /*!< Offset: 0x058 (R/W) Function Register 3 */ +} DWT_Type; + +/* DWT Control Register Definitions */ +#define DWT_CTRL_NUMCOMP_Pos 28U /*!< DWT CTRL: NUMCOMP Position */ +#define DWT_CTRL_NUMCOMP_Msk (0xFUL << DWT_CTRL_NUMCOMP_Pos) /*!< DWT CTRL: NUMCOMP Mask */ + +#define DWT_CTRL_NOTRCPKT_Pos 27U /*!< DWT CTRL: NOTRCPKT Position */ +#define DWT_CTRL_NOTRCPKT_Msk (0x1UL << DWT_CTRL_NOTRCPKT_Pos) /*!< DWT CTRL: NOTRCPKT Mask */ + +#define DWT_CTRL_NOEXTTRIG_Pos 26U /*!< DWT CTRL: NOEXTTRIG Position */ +#define DWT_CTRL_NOEXTTRIG_Msk (0x1UL << DWT_CTRL_NOEXTTRIG_Pos) /*!< DWT CTRL: NOEXTTRIG Mask */ + +#define DWT_CTRL_NOCYCCNT_Pos 25U /*!< DWT CTRL: NOCYCCNT Position */ +#define DWT_CTRL_NOCYCCNT_Msk (0x1UL << DWT_CTRL_NOCYCCNT_Pos) /*!< DWT CTRL: NOCYCCNT Mask */ + +#define DWT_CTRL_NOPRFCNT_Pos 24U /*!< DWT CTRL: NOPRFCNT Position */ +#define DWT_CTRL_NOPRFCNT_Msk (0x1UL << DWT_CTRL_NOPRFCNT_Pos) /*!< DWT CTRL: NOPRFCNT Mask */ + +#define DWT_CTRL_CYCEVTENA_Pos 22U /*!< DWT CTRL: CYCEVTENA Position */ +#define DWT_CTRL_CYCEVTENA_Msk (0x1UL << DWT_CTRL_CYCEVTENA_Pos) /*!< DWT CTRL: CYCEVTENA Mask */ + +#define DWT_CTRL_FOLDEVTENA_Pos 21U /*!< DWT CTRL: FOLDEVTENA Position */ +#define DWT_CTRL_FOLDEVTENA_Msk (0x1UL << DWT_CTRL_FOLDEVTENA_Pos) /*!< DWT CTRL: FOLDEVTENA Mask */ + +#define DWT_CTRL_LSUEVTENA_Pos 20U /*!< DWT CTRL: LSUEVTENA Position */ +#define DWT_CTRL_LSUEVTENA_Msk (0x1UL << DWT_CTRL_LSUEVTENA_Pos) /*!< DWT CTRL: LSUEVTENA Mask */ + +#define DWT_CTRL_SLEEPEVTENA_Pos 19U /*!< DWT CTRL: SLEEPEVTENA Position */ +#define DWT_CTRL_SLEEPEVTENA_Msk (0x1UL << DWT_CTRL_SLEEPEVTENA_Pos) /*!< DWT CTRL: SLEEPEVTENA Mask */ + +#define DWT_CTRL_EXCEVTENA_Pos 18U /*!< DWT CTRL: EXCEVTENA Position */ +#define DWT_CTRL_EXCEVTENA_Msk (0x1UL << DWT_CTRL_EXCEVTENA_Pos) /*!< DWT CTRL: EXCEVTENA Mask */ + +#define DWT_CTRL_CPIEVTENA_Pos 17U /*!< DWT CTRL: CPIEVTENA Position */ +#define DWT_CTRL_CPIEVTENA_Msk (0x1UL << DWT_CTRL_CPIEVTENA_Pos) /*!< DWT CTRL: CPIEVTENA Mask */ + +#define DWT_CTRL_EXCTRCENA_Pos 16U /*!< DWT CTRL: EXCTRCENA Position */ +#define DWT_CTRL_EXCTRCENA_Msk (0x1UL << DWT_CTRL_EXCTRCENA_Pos) /*!< DWT CTRL: EXCTRCENA Mask */ + +#define DWT_CTRL_PCSAMPLENA_Pos 12U /*!< DWT CTRL: PCSAMPLENA Position */ +#define DWT_CTRL_PCSAMPLENA_Msk (0x1UL << DWT_CTRL_PCSAMPLENA_Pos) /*!< DWT CTRL: PCSAMPLENA Mask */ + +#define DWT_CTRL_SYNCTAP_Pos 10U /*!< DWT CTRL: SYNCTAP Position */ +#define DWT_CTRL_SYNCTAP_Msk (0x3UL << DWT_CTRL_SYNCTAP_Pos) /*!< DWT CTRL: SYNCTAP Mask */ + +#define DWT_CTRL_CYCTAP_Pos 9U /*!< DWT CTRL: CYCTAP Position */ +#define DWT_CTRL_CYCTAP_Msk (0x1UL << DWT_CTRL_CYCTAP_Pos) /*!< DWT CTRL: CYCTAP Mask */ + +#define DWT_CTRL_POSTINIT_Pos 5U /*!< DWT CTRL: POSTINIT Position */ +#define DWT_CTRL_POSTINIT_Msk (0xFUL << DWT_CTRL_POSTINIT_Pos) /*!< DWT CTRL: POSTINIT Mask */ + +#define DWT_CTRL_POSTPRESET_Pos 1U /*!< DWT CTRL: POSTPRESET Position */ +#define DWT_CTRL_POSTPRESET_Msk (0xFUL << DWT_CTRL_POSTPRESET_Pos) /*!< DWT CTRL: POSTPRESET Mask */ + +#define DWT_CTRL_CYCCNTENA_Pos 0U /*!< DWT CTRL: CYCCNTENA Position */ +#define DWT_CTRL_CYCCNTENA_Msk (0x1UL /*<< DWT_CTRL_CYCCNTENA_Pos*/) /*!< DWT CTRL: CYCCNTENA Mask */ + +/* DWT CPI Count Register Definitions */ +#define DWT_CPICNT_CPICNT_Pos 0U /*!< DWT CPICNT: CPICNT Position */ +#define DWT_CPICNT_CPICNT_Msk (0xFFUL /*<< DWT_CPICNT_CPICNT_Pos*/) /*!< DWT CPICNT: CPICNT Mask */ + +/* DWT Exception Overhead Count Register Definitions */ +#define DWT_EXCCNT_EXCCNT_Pos 0U /*!< DWT EXCCNT: EXCCNT Position */ +#define DWT_EXCCNT_EXCCNT_Msk (0xFFUL /*<< DWT_EXCCNT_EXCCNT_Pos*/) /*!< DWT EXCCNT: EXCCNT Mask */ + +/* DWT Sleep Count Register Definitions */ +#define DWT_SLEEPCNT_SLEEPCNT_Pos 0U /*!< DWT SLEEPCNT: SLEEPCNT Position */ +#define DWT_SLEEPCNT_SLEEPCNT_Msk (0xFFUL /*<< DWT_SLEEPCNT_SLEEPCNT_Pos*/) /*!< DWT SLEEPCNT: SLEEPCNT Mask */ + +/* DWT LSU Count Register Definitions */ +#define DWT_LSUCNT_LSUCNT_Pos 0U /*!< DWT LSUCNT: LSUCNT Position */ +#define DWT_LSUCNT_LSUCNT_Msk (0xFFUL /*<< DWT_LSUCNT_LSUCNT_Pos*/) /*!< DWT LSUCNT: LSUCNT Mask */ + +/* DWT Folded-instruction Count Register Definitions */ +#define DWT_FOLDCNT_FOLDCNT_Pos 0U /*!< DWT FOLDCNT: FOLDCNT Position */ +#define DWT_FOLDCNT_FOLDCNT_Msk (0xFFUL /*<< DWT_FOLDCNT_FOLDCNT_Pos*/) /*!< DWT FOLDCNT: FOLDCNT Mask */ + +/* DWT Comparator Mask Register Definitions */ +#define DWT_MASK_MASK_Pos 0U /*!< DWT MASK: MASK Position */ +#define DWT_MASK_MASK_Msk (0x1FUL /*<< DWT_MASK_MASK_Pos*/) /*!< DWT MASK: MASK Mask */ + +/* DWT Comparator Function Register Definitions */ +#define DWT_FUNCTION_MATCHED_Pos 24U /*!< DWT FUNCTION: MATCHED Position */ +#define DWT_FUNCTION_MATCHED_Msk (0x1UL << DWT_FUNCTION_MATCHED_Pos) /*!< DWT FUNCTION: MATCHED Mask */ + +#define DWT_FUNCTION_DATAVADDR1_Pos 16U /*!< DWT FUNCTION: DATAVADDR1 Position */ +#define DWT_FUNCTION_DATAVADDR1_Msk (0xFUL << DWT_FUNCTION_DATAVADDR1_Pos) /*!< DWT FUNCTION: DATAVADDR1 Mask */ + +#define DWT_FUNCTION_DATAVADDR0_Pos 12U /*!< DWT FUNCTION: DATAVADDR0 Position */ +#define DWT_FUNCTION_DATAVADDR0_Msk (0xFUL << DWT_FUNCTION_DATAVADDR0_Pos) /*!< DWT FUNCTION: DATAVADDR0 Mask */ + +#define DWT_FUNCTION_DATAVSIZE_Pos 10U /*!< DWT FUNCTION: DATAVSIZE Position */ +#define DWT_FUNCTION_DATAVSIZE_Msk (0x3UL << DWT_FUNCTION_DATAVSIZE_Pos) /*!< DWT FUNCTION: DATAVSIZE Mask */ + +#define DWT_FUNCTION_LNK1ENA_Pos 9U /*!< DWT FUNCTION: LNK1ENA Position */ +#define DWT_FUNCTION_LNK1ENA_Msk (0x1UL << DWT_FUNCTION_LNK1ENA_Pos) /*!< DWT FUNCTION: LNK1ENA Mask */ + +#define DWT_FUNCTION_DATAVMATCH_Pos 8U /*!< DWT FUNCTION: DATAVMATCH Position */ +#define DWT_FUNCTION_DATAVMATCH_Msk (0x1UL << DWT_FUNCTION_DATAVMATCH_Pos) /*!< DWT FUNCTION: DATAVMATCH Mask */ + +#define DWT_FUNCTION_CYCMATCH_Pos 7U /*!< DWT FUNCTION: CYCMATCH Position */ +#define DWT_FUNCTION_CYCMATCH_Msk (0x1UL << DWT_FUNCTION_CYCMATCH_Pos) /*!< DWT FUNCTION: CYCMATCH Mask */ + +#define DWT_FUNCTION_EMITRANGE_Pos 5U /*!< DWT FUNCTION: EMITRANGE Position */ +#define DWT_FUNCTION_EMITRANGE_Msk (0x1UL << DWT_FUNCTION_EMITRANGE_Pos) /*!< DWT FUNCTION: EMITRANGE Mask */ + +#define DWT_FUNCTION_FUNCTION_Pos 0U /*!< DWT FUNCTION: FUNCTION Position */ +#define DWT_FUNCTION_FUNCTION_Msk (0xFUL /*<< DWT_FUNCTION_FUNCTION_Pos*/) /*!< DWT FUNCTION: FUNCTION Mask */ + +/*@}*/ /* end of group CMSIS_DWT */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_TPI Trace Port Interface (TPI) + \brief Type definitions for the Trace Port Interface (TPI) + @{ + */ + +/** + \brief Structure type to access the Trace Port Interface Register (TPI). + */ +typedef struct +{ + __IM uint32_t SSPSR; /*!< Offset: 0x000 (R/ ) Supported Parallel Port Size Register */ + __IOM uint32_t CSPSR; /*!< Offset: 0x004 (R/W) Current Parallel Port Size Register */ + uint32_t RESERVED0[2U]; + __IOM uint32_t ACPR; /*!< Offset: 0x010 (R/W) Asynchronous Clock Prescaler Register */ + uint32_t RESERVED1[55U]; + __IOM uint32_t SPPR; /*!< Offset: 0x0F0 (R/W) Selected Pin Protocol Register */ + uint32_t RESERVED2[131U]; + __IM uint32_t FFSR; /*!< Offset: 0x300 (R/ ) Formatter and Flush Status Register */ + __IOM uint32_t FFCR; /*!< Offset: 0x304 (R/W) Formatter and Flush Control Register */ + __IM uint32_t FSCR; /*!< Offset: 0x308 (R/ ) Formatter Synchronization Counter Register */ + uint32_t RESERVED3[759U]; + __IM uint32_t TRIGGER; /*!< Offset: 0xEE8 (R/ ) TRIGGER Register */ + __IM uint32_t FIFO0; /*!< Offset: 0xEEC (R/ ) Integration ETM Data */ + __IM uint32_t ITATBCTR2; /*!< Offset: 0xEF0 (R/ ) ITATBCTR2 */ + uint32_t RESERVED4[1U]; + __IM uint32_t ITATBCTR0; /*!< Offset: 0xEF8 (R/ ) ITATBCTR0 */ + __IM uint32_t FIFO1; /*!< Offset: 0xEFC (R/ ) Integration ITM Data */ + __IOM uint32_t ITCTRL; /*!< Offset: 0xF00 (R/W) Integration Mode Control */ + uint32_t RESERVED5[39U]; + __IOM uint32_t CLAIMSET; /*!< Offset: 0xFA0 (R/W) Claim tag set */ + __IOM uint32_t CLAIMCLR; /*!< Offset: 0xFA4 (R/W) Claim tag clear */ + uint32_t RESERVED7[8U]; + __IM uint32_t DEVID; /*!< Offset: 0xFC8 (R/ ) TPIU_DEVID */ + __IM uint32_t DEVTYPE; /*!< Offset: 0xFCC (R/ ) TPIU_DEVTYPE */ +} TPI_Type; + +/* TPI Asynchronous Clock Prescaler Register Definitions */ +#define TPI_ACPR_PRESCALER_Pos 0U /*!< TPI ACPR: PRESCALER Position */ +#define TPI_ACPR_PRESCALER_Msk (0x1FFFUL /*<< TPI_ACPR_PRESCALER_Pos*/) /*!< TPI ACPR: PRESCALER Mask */ + +/* TPI Selected Pin Protocol Register Definitions */ +#define TPI_SPPR_TXMODE_Pos 0U /*!< TPI SPPR: TXMODE Position */ +#define TPI_SPPR_TXMODE_Msk (0x3UL /*<< TPI_SPPR_TXMODE_Pos*/) /*!< TPI SPPR: TXMODE Mask */ + +/* TPI Formatter and Flush Status Register Definitions */ +#define TPI_FFSR_FtNonStop_Pos 3U /*!< TPI FFSR: FtNonStop Position */ +#define TPI_FFSR_FtNonStop_Msk (0x1UL << TPI_FFSR_FtNonStop_Pos) /*!< TPI FFSR: FtNonStop Mask */ + +#define TPI_FFSR_TCPresent_Pos 2U /*!< TPI FFSR: TCPresent Position */ +#define TPI_FFSR_TCPresent_Msk (0x1UL << TPI_FFSR_TCPresent_Pos) /*!< TPI FFSR: TCPresent Mask */ + +#define TPI_FFSR_FtStopped_Pos 1U /*!< TPI FFSR: FtStopped Position */ +#define TPI_FFSR_FtStopped_Msk (0x1UL << TPI_FFSR_FtStopped_Pos) /*!< TPI FFSR: FtStopped Mask */ + +#define TPI_FFSR_FlInProg_Pos 0U /*!< TPI FFSR: FlInProg Position */ +#define TPI_FFSR_FlInProg_Msk (0x1UL /*<< TPI_FFSR_FlInProg_Pos*/) /*!< TPI FFSR: FlInProg Mask */ + +/* TPI Formatter and Flush Control Register Definitions */ +#define TPI_FFCR_TrigIn_Pos 8U /*!< TPI FFCR: TrigIn Position */ +#define TPI_FFCR_TrigIn_Msk (0x1UL << TPI_FFCR_TrigIn_Pos) /*!< TPI FFCR: TrigIn Mask */ + +#define TPI_FFCR_EnFCont_Pos 1U /*!< TPI FFCR: EnFCont Position */ +#define TPI_FFCR_EnFCont_Msk (0x1UL << TPI_FFCR_EnFCont_Pos) /*!< TPI FFCR: EnFCont Mask */ + +/* TPI TRIGGER Register Definitions */ +#define TPI_TRIGGER_TRIGGER_Pos 0U /*!< TPI TRIGGER: TRIGGER Position */ +#define TPI_TRIGGER_TRIGGER_Msk (0x1UL /*<< TPI_TRIGGER_TRIGGER_Pos*/) /*!< TPI TRIGGER: TRIGGER Mask */ + +/* TPI Integration ETM Data Register Definitions (FIFO0) */ +#define TPI_FIFO0_ITM_ATVALID_Pos 29U /*!< TPI FIFO0: ITM_ATVALID Position */ +#define TPI_FIFO0_ITM_ATVALID_Msk (0x1UL << TPI_FIFO0_ITM_ATVALID_Pos) /*!< TPI FIFO0: ITM_ATVALID Mask */ + +#define TPI_FIFO0_ITM_bytecount_Pos 27U /*!< TPI FIFO0: ITM_bytecount Position */ +#define TPI_FIFO0_ITM_bytecount_Msk (0x3UL << TPI_FIFO0_ITM_bytecount_Pos) /*!< TPI FIFO0: ITM_bytecount Mask */ + +#define TPI_FIFO0_ETM_ATVALID_Pos 26U /*!< TPI FIFO0: ETM_ATVALID Position */ +#define TPI_FIFO0_ETM_ATVALID_Msk (0x1UL << TPI_FIFO0_ETM_ATVALID_Pos) /*!< TPI FIFO0: ETM_ATVALID Mask */ + +#define TPI_FIFO0_ETM_bytecount_Pos 24U /*!< TPI FIFO0: ETM_bytecount Position */ +#define TPI_FIFO0_ETM_bytecount_Msk (0x3UL << TPI_FIFO0_ETM_bytecount_Pos) /*!< TPI FIFO0: ETM_bytecount Mask */ + +#define TPI_FIFO0_ETM2_Pos 16U /*!< TPI FIFO0: ETM2 Position */ +#define TPI_FIFO0_ETM2_Msk (0xFFUL << TPI_FIFO0_ETM2_Pos) /*!< TPI FIFO0: ETM2 Mask */ + +#define TPI_FIFO0_ETM1_Pos 8U /*!< TPI FIFO0: ETM1 Position */ +#define TPI_FIFO0_ETM1_Msk (0xFFUL << TPI_FIFO0_ETM1_Pos) /*!< TPI FIFO0: ETM1 Mask */ + +#define TPI_FIFO0_ETM0_Pos 0U /*!< TPI FIFO0: ETM0 Position */ +#define TPI_FIFO0_ETM0_Msk (0xFFUL /*<< TPI_FIFO0_ETM0_Pos*/) /*!< TPI FIFO0: ETM0 Mask */ + +/* TPI ITATBCTR2 Register Definitions */ +#define TPI_ITATBCTR2_ATREADY2_Pos 0U /*!< TPI ITATBCTR2: ATREADY2 Position */ +#define TPI_ITATBCTR2_ATREADY2_Msk (0x1UL /*<< TPI_ITATBCTR2_ATREADY2_Pos*/) /*!< TPI ITATBCTR2: ATREADY2 Mask */ + +#define TPI_ITATBCTR2_ATREADY1_Pos 0U /*!< TPI ITATBCTR2: ATREADY1 Position */ +#define TPI_ITATBCTR2_ATREADY1_Msk (0x1UL /*<< TPI_ITATBCTR2_ATREADY1_Pos*/) /*!< TPI ITATBCTR2: ATREADY1 Mask */ + +/* TPI Integration ITM Data Register Definitions (FIFO1) */ +#define TPI_FIFO1_ITM_ATVALID_Pos 29U /*!< TPI FIFO1: ITM_ATVALID Position */ +#define TPI_FIFO1_ITM_ATVALID_Msk (0x1UL << TPI_FIFO1_ITM_ATVALID_Pos) /*!< TPI FIFO1: ITM_ATVALID Mask */ + +#define TPI_FIFO1_ITM_bytecount_Pos 27U /*!< TPI FIFO1: ITM_bytecount Position */ +#define TPI_FIFO1_ITM_bytecount_Msk (0x3UL << TPI_FIFO1_ITM_bytecount_Pos) /*!< TPI FIFO1: ITM_bytecount Mask */ + +#define TPI_FIFO1_ETM_ATVALID_Pos 26U /*!< TPI FIFO1: ETM_ATVALID Position */ +#define TPI_FIFO1_ETM_ATVALID_Msk (0x1UL << TPI_FIFO1_ETM_ATVALID_Pos) /*!< TPI FIFO1: ETM_ATVALID Mask */ + +#define TPI_FIFO1_ETM_bytecount_Pos 24U /*!< TPI FIFO1: ETM_bytecount Position */ +#define TPI_FIFO1_ETM_bytecount_Msk (0x3UL << TPI_FIFO1_ETM_bytecount_Pos) /*!< TPI FIFO1: ETM_bytecount Mask */ + +#define TPI_FIFO1_ITM2_Pos 16U /*!< TPI FIFO1: ITM2 Position */ +#define TPI_FIFO1_ITM2_Msk (0xFFUL << TPI_FIFO1_ITM2_Pos) /*!< TPI FIFO1: ITM2 Mask */ + +#define TPI_FIFO1_ITM1_Pos 8U /*!< TPI FIFO1: ITM1 Position */ +#define TPI_FIFO1_ITM1_Msk (0xFFUL << TPI_FIFO1_ITM1_Pos) /*!< TPI FIFO1: ITM1 Mask */ + +#define TPI_FIFO1_ITM0_Pos 0U /*!< TPI FIFO1: ITM0 Position */ +#define TPI_FIFO1_ITM0_Msk (0xFFUL /*<< TPI_FIFO1_ITM0_Pos*/) /*!< TPI FIFO1: ITM0 Mask */ + +/* TPI ITATBCTR0 Register Definitions */ +#define TPI_ITATBCTR0_ATREADY2_Pos 0U /*!< TPI ITATBCTR0: ATREADY2 Position */ +#define TPI_ITATBCTR0_ATREADY2_Msk (0x1UL /*<< TPI_ITATBCTR0_ATREADY2_Pos*/) /*!< TPI ITATBCTR0: ATREADY2 Mask */ + +#define TPI_ITATBCTR0_ATREADY1_Pos 0U /*!< TPI ITATBCTR0: ATREADY1 Position */ +#define TPI_ITATBCTR0_ATREADY1_Msk (0x1UL /*<< TPI_ITATBCTR0_ATREADY1_Pos*/) /*!< TPI ITATBCTR0: ATREADY1 Mask */ + +/* TPI Integration Mode Control Register Definitions */ +#define TPI_ITCTRL_Mode_Pos 0U /*!< TPI ITCTRL: Mode Position */ +#define TPI_ITCTRL_Mode_Msk (0x3UL /*<< TPI_ITCTRL_Mode_Pos*/) /*!< TPI ITCTRL: Mode Mask */ + +/* TPI DEVID Register Definitions */ +#define TPI_DEVID_NRZVALID_Pos 11U /*!< TPI DEVID: NRZVALID Position */ +#define TPI_DEVID_NRZVALID_Msk (0x1UL << TPI_DEVID_NRZVALID_Pos) /*!< TPI DEVID: NRZVALID Mask */ + +#define TPI_DEVID_MANCVALID_Pos 10U /*!< TPI DEVID: MANCVALID Position */ +#define TPI_DEVID_MANCVALID_Msk (0x1UL << TPI_DEVID_MANCVALID_Pos) /*!< TPI DEVID: MANCVALID Mask */ + +#define TPI_DEVID_PTINVALID_Pos 9U /*!< TPI DEVID: PTINVALID Position */ +#define TPI_DEVID_PTINVALID_Msk (0x1UL << TPI_DEVID_PTINVALID_Pos) /*!< TPI DEVID: PTINVALID Mask */ + +#define TPI_DEVID_MinBufSz_Pos 6U /*!< TPI DEVID: MinBufSz Position */ +#define TPI_DEVID_MinBufSz_Msk (0x7UL << TPI_DEVID_MinBufSz_Pos) /*!< TPI DEVID: MinBufSz Mask */ + +#define TPI_DEVID_AsynClkIn_Pos 5U /*!< TPI DEVID: AsynClkIn Position */ +#define TPI_DEVID_AsynClkIn_Msk (0x1UL << TPI_DEVID_AsynClkIn_Pos) /*!< TPI DEVID: AsynClkIn Mask */ + +#define TPI_DEVID_NrTraceInput_Pos 0U /*!< TPI DEVID: NrTraceInput Position */ +#define TPI_DEVID_NrTraceInput_Msk (0x1FUL /*<< TPI_DEVID_NrTraceInput_Pos*/) /*!< TPI DEVID: NrTraceInput Mask */ + +/* TPI DEVTYPE Register Definitions */ +#define TPI_DEVTYPE_SubType_Pos 4U /*!< TPI DEVTYPE: SubType Position */ +#define TPI_DEVTYPE_SubType_Msk (0xFUL /*<< TPI_DEVTYPE_SubType_Pos*/) /*!< TPI DEVTYPE: SubType Mask */ + +#define TPI_DEVTYPE_MajorType_Pos 0U /*!< TPI DEVTYPE: MajorType Position */ +#define TPI_DEVTYPE_MajorType_Msk (0xFUL << TPI_DEVTYPE_MajorType_Pos) /*!< TPI DEVTYPE: MajorType Mask */ + +/*@}*/ /* end of group CMSIS_TPI */ + + +#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_MPU Memory Protection Unit (MPU) + \brief Type definitions for the Memory Protection Unit (MPU) + @{ + */ + +/** + \brief Structure type to access the Memory Protection Unit (MPU). + */ +typedef struct +{ + __IM uint32_t TYPE; /*!< Offset: 0x000 (R/ ) MPU Type Register */ + __IOM uint32_t CTRL; /*!< Offset: 0x004 (R/W) MPU Control Register */ + __IOM uint32_t RNR; /*!< Offset: 0x008 (R/W) MPU Region RNRber Register */ + __IOM uint32_t RBAR; /*!< Offset: 0x00C (R/W) MPU Region Base Address Register */ + __IOM uint32_t RASR; /*!< Offset: 0x010 (R/W) MPU Region Attribute and Size Register */ + __IOM uint32_t RBAR_A1; /*!< Offset: 0x014 (R/W) MPU Alias 1 Region Base Address Register */ + __IOM uint32_t RASR_A1; /*!< Offset: 0x018 (R/W) MPU Alias 1 Region Attribute and Size Register */ + __IOM uint32_t RBAR_A2; /*!< Offset: 0x01C (R/W) MPU Alias 2 Region Base Address Register */ + __IOM uint32_t RASR_A2; /*!< Offset: 0x020 (R/W) MPU Alias 2 Region Attribute and Size Register */ + __IOM uint32_t RBAR_A3; /*!< Offset: 0x024 (R/W) MPU Alias 3 Region Base Address Register */ + __IOM uint32_t RASR_A3; /*!< Offset: 0x028 (R/W) MPU Alias 3 Region Attribute and Size Register */ +} MPU_Type; + +#define MPU_TYPE_RALIASES 4U + +/* MPU Type Register Definitions */ +#define MPU_TYPE_IREGION_Pos 16U /*!< MPU TYPE: IREGION Position */ +#define MPU_TYPE_IREGION_Msk (0xFFUL << MPU_TYPE_IREGION_Pos) /*!< MPU TYPE: IREGION Mask */ + +#define MPU_TYPE_DREGION_Pos 8U /*!< MPU TYPE: DREGION Position */ +#define MPU_TYPE_DREGION_Msk (0xFFUL << MPU_TYPE_DREGION_Pos) /*!< MPU TYPE: DREGION Mask */ + +#define MPU_TYPE_SEPARATE_Pos 0U /*!< MPU TYPE: SEPARATE Position */ +#define MPU_TYPE_SEPARATE_Msk (1UL /*<< MPU_TYPE_SEPARATE_Pos*/) /*!< MPU TYPE: SEPARATE Mask */ + +/* MPU Control Register Definitions */ +#define MPU_CTRL_PRIVDEFENA_Pos 2U /*!< MPU CTRL: PRIVDEFENA Position */ +#define MPU_CTRL_PRIVDEFENA_Msk (1UL << MPU_CTRL_PRIVDEFENA_Pos) /*!< MPU CTRL: PRIVDEFENA Mask */ + +#define MPU_CTRL_HFNMIENA_Pos 1U /*!< MPU CTRL: HFNMIENA Position */ +#define MPU_CTRL_HFNMIENA_Msk (1UL << MPU_CTRL_HFNMIENA_Pos) /*!< MPU CTRL: HFNMIENA Mask */ + +#define MPU_CTRL_ENABLE_Pos 0U /*!< MPU CTRL: ENABLE Position */ +#define MPU_CTRL_ENABLE_Msk (1UL /*<< MPU_CTRL_ENABLE_Pos*/) /*!< MPU CTRL: ENABLE Mask */ + +/* MPU Region Number Register Definitions */ +#define MPU_RNR_REGION_Pos 0U /*!< MPU RNR: REGION Position */ +#define MPU_RNR_REGION_Msk (0xFFUL /*<< MPU_RNR_REGION_Pos*/) /*!< MPU RNR: REGION Mask */ + +/* MPU Region Base Address Register Definitions */ +#define MPU_RBAR_ADDR_Pos 5U /*!< MPU RBAR: ADDR Position */ +#define MPU_RBAR_ADDR_Msk (0x7FFFFFFUL << MPU_RBAR_ADDR_Pos) /*!< MPU RBAR: ADDR Mask */ + +#define MPU_RBAR_VALID_Pos 4U /*!< MPU RBAR: VALID Position */ +#define MPU_RBAR_VALID_Msk (1UL << MPU_RBAR_VALID_Pos) /*!< MPU RBAR: VALID Mask */ + +#define MPU_RBAR_REGION_Pos 0U /*!< MPU RBAR: REGION Position */ +#define MPU_RBAR_REGION_Msk (0xFUL /*<< MPU_RBAR_REGION_Pos*/) /*!< MPU RBAR: REGION Mask */ + +/* MPU Region Attribute and Size Register Definitions */ +#define MPU_RASR_ATTRS_Pos 16U /*!< MPU RASR: MPU Region Attribute field Position */ +#define MPU_RASR_ATTRS_Msk (0xFFFFUL << MPU_RASR_ATTRS_Pos) /*!< MPU RASR: MPU Region Attribute field Mask */ + +#define MPU_RASR_XN_Pos 28U /*!< MPU RASR: ATTRS.XN Position */ +#define MPU_RASR_XN_Msk (1UL << MPU_RASR_XN_Pos) /*!< MPU RASR: ATTRS.XN Mask */ + +#define MPU_RASR_AP_Pos 24U /*!< MPU RASR: ATTRS.AP Position */ +#define MPU_RASR_AP_Msk (0x7UL << MPU_RASR_AP_Pos) /*!< MPU RASR: ATTRS.AP Mask */ + +#define MPU_RASR_TEX_Pos 19U /*!< MPU RASR: ATTRS.TEX Position */ +#define MPU_RASR_TEX_Msk (0x7UL << MPU_RASR_TEX_Pos) /*!< MPU RASR: ATTRS.TEX Mask */ + +#define MPU_RASR_S_Pos 18U /*!< MPU RASR: ATTRS.S Position */ +#define MPU_RASR_S_Msk (1UL << MPU_RASR_S_Pos) /*!< MPU RASR: ATTRS.S Mask */ + +#define MPU_RASR_C_Pos 17U /*!< MPU RASR: ATTRS.C Position */ +#define MPU_RASR_C_Msk (1UL << MPU_RASR_C_Pos) /*!< MPU RASR: ATTRS.C Mask */ + +#define MPU_RASR_B_Pos 16U /*!< MPU RASR: ATTRS.B Position */ +#define MPU_RASR_B_Msk (1UL << MPU_RASR_B_Pos) /*!< MPU RASR: ATTRS.B Mask */ + +#define MPU_RASR_SRD_Pos 8U /*!< MPU RASR: Sub-Region Disable Position */ +#define MPU_RASR_SRD_Msk (0xFFUL << MPU_RASR_SRD_Pos) /*!< MPU RASR: Sub-Region Disable Mask */ + +#define MPU_RASR_SIZE_Pos 1U /*!< MPU RASR: Region Size Field Position */ +#define MPU_RASR_SIZE_Msk (0x1FUL << MPU_RASR_SIZE_Pos) /*!< MPU RASR: Region Size Field Mask */ + +#define MPU_RASR_ENABLE_Pos 0U /*!< MPU RASR: Region enable bit Position */ +#define MPU_RASR_ENABLE_Msk (1UL /*<< MPU_RASR_ENABLE_Pos*/) /*!< MPU RASR: Region enable bit Disable Mask */ + +/*@} end of group CMSIS_MPU */ +#endif /* defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_FPU Floating Point Unit (FPU) + \brief Type definitions for the Floating Point Unit (FPU) + @{ + */ + +/** + \brief Structure type to access the Floating Point Unit (FPU). + */ +typedef struct +{ + uint32_t RESERVED0[1U]; + __IOM uint32_t FPCCR; /*!< Offset: 0x004 (R/W) Floating-Point Context Control Register */ + __IOM uint32_t FPCAR; /*!< Offset: 0x008 (R/W) Floating-Point Context Address Register */ + __IOM uint32_t FPDSCR; /*!< Offset: 0x00C (R/W) Floating-Point Default Status Control Register */ + __IM uint32_t MVFR0; /*!< Offset: 0x010 (R/ ) Media and FP Feature Register 0 */ + __IM uint32_t MVFR1; /*!< Offset: 0x014 (R/ ) Media and FP Feature Register 1 */ + __IM uint32_t MVFR2; /*!< Offset: 0x018 (R/ ) Media and FP Feature Register 2 */ +} FPU_Type; + +/* Floating-Point Context Control Register Definitions */ +#define FPU_FPCCR_ASPEN_Pos 31U /*!< FPCCR: ASPEN bit Position */ +#define FPU_FPCCR_ASPEN_Msk (1UL << FPU_FPCCR_ASPEN_Pos) /*!< FPCCR: ASPEN bit Mask */ + +#define FPU_FPCCR_LSPEN_Pos 30U /*!< FPCCR: LSPEN Position */ +#define FPU_FPCCR_LSPEN_Msk (1UL << FPU_FPCCR_LSPEN_Pos) /*!< FPCCR: LSPEN bit Mask */ + +#define FPU_FPCCR_MONRDY_Pos 8U /*!< FPCCR: MONRDY Position */ +#define FPU_FPCCR_MONRDY_Msk (1UL << FPU_FPCCR_MONRDY_Pos) /*!< FPCCR: MONRDY bit Mask */ + +#define FPU_FPCCR_BFRDY_Pos 6U /*!< FPCCR: BFRDY Position */ +#define FPU_FPCCR_BFRDY_Msk (1UL << FPU_FPCCR_BFRDY_Pos) /*!< FPCCR: BFRDY bit Mask */ + +#define FPU_FPCCR_MMRDY_Pos 5U /*!< FPCCR: MMRDY Position */ +#define FPU_FPCCR_MMRDY_Msk (1UL << FPU_FPCCR_MMRDY_Pos) /*!< FPCCR: MMRDY bit Mask */ + +#define FPU_FPCCR_HFRDY_Pos 4U /*!< FPCCR: HFRDY Position */ +#define FPU_FPCCR_HFRDY_Msk (1UL << FPU_FPCCR_HFRDY_Pos) /*!< FPCCR: HFRDY bit Mask */ + +#define FPU_FPCCR_THREAD_Pos 3U /*!< FPCCR: processor mode bit Position */ +#define FPU_FPCCR_THREAD_Msk (1UL << FPU_FPCCR_THREAD_Pos) /*!< FPCCR: processor mode active bit Mask */ + +#define FPU_FPCCR_USER_Pos 1U /*!< FPCCR: privilege level bit Position */ +#define FPU_FPCCR_USER_Msk (1UL << FPU_FPCCR_USER_Pos) /*!< FPCCR: privilege level bit Mask */ + +#define FPU_FPCCR_LSPACT_Pos 0U /*!< FPCCR: Lazy state preservation active bit Position */ +#define FPU_FPCCR_LSPACT_Msk (1UL /*<< FPU_FPCCR_LSPACT_Pos*/) /*!< FPCCR: Lazy state preservation active bit Mask */ + +/* Floating-Point Context Address Register Definitions */ +#define FPU_FPCAR_ADDRESS_Pos 3U /*!< FPCAR: ADDRESS bit Position */ +#define FPU_FPCAR_ADDRESS_Msk (0x1FFFFFFFUL << FPU_FPCAR_ADDRESS_Pos) /*!< FPCAR: ADDRESS bit Mask */ + +/* Floating-Point Default Status Control Register Definitions */ +#define FPU_FPDSCR_AHP_Pos 26U /*!< FPDSCR: AHP bit Position */ +#define FPU_FPDSCR_AHP_Msk (1UL << FPU_FPDSCR_AHP_Pos) /*!< FPDSCR: AHP bit Mask */ + +#define FPU_FPDSCR_DN_Pos 25U /*!< FPDSCR: DN bit Position */ +#define FPU_FPDSCR_DN_Msk (1UL << FPU_FPDSCR_DN_Pos) /*!< FPDSCR: DN bit Mask */ + +#define FPU_FPDSCR_FZ_Pos 24U /*!< FPDSCR: FZ bit Position */ +#define FPU_FPDSCR_FZ_Msk (1UL << FPU_FPDSCR_FZ_Pos) /*!< FPDSCR: FZ bit Mask */ + +#define FPU_FPDSCR_RMode_Pos 22U /*!< FPDSCR: RMode bit Position */ +#define FPU_FPDSCR_RMode_Msk (3UL << FPU_FPDSCR_RMode_Pos) /*!< FPDSCR: RMode bit Mask */ + +/* Media and FP Feature Register 0 Definitions */ +#define FPU_MVFR0_FP_rounding_modes_Pos 28U /*!< MVFR0: FP rounding modes bits Position */ +#define FPU_MVFR0_FP_rounding_modes_Msk (0xFUL << FPU_MVFR0_FP_rounding_modes_Pos) /*!< MVFR0: FP rounding modes bits Mask */ + +#define FPU_MVFR0_Short_vectors_Pos 24U /*!< MVFR0: Short vectors bits Position */ +#define FPU_MVFR0_Short_vectors_Msk (0xFUL << FPU_MVFR0_Short_vectors_Pos) /*!< MVFR0: Short vectors bits Mask */ + +#define FPU_MVFR0_Square_root_Pos 20U /*!< MVFR0: Square root bits Position */ +#define FPU_MVFR0_Square_root_Msk (0xFUL << FPU_MVFR0_Square_root_Pos) /*!< MVFR0: Square root bits Mask */ + +#define FPU_MVFR0_Divide_Pos 16U /*!< MVFR0: Divide bits Position */ +#define FPU_MVFR0_Divide_Msk (0xFUL << FPU_MVFR0_Divide_Pos) /*!< MVFR0: Divide bits Mask */ + +#define FPU_MVFR0_FP_excep_trapping_Pos 12U /*!< MVFR0: FP exception trapping bits Position */ +#define FPU_MVFR0_FP_excep_trapping_Msk (0xFUL << FPU_MVFR0_FP_excep_trapping_Pos) /*!< MVFR0: FP exception trapping bits Mask */ + +#define FPU_MVFR0_Double_precision_Pos 8U /*!< MVFR0: Double-precision bits Position */ +#define FPU_MVFR0_Double_precision_Msk (0xFUL << FPU_MVFR0_Double_precision_Pos) /*!< MVFR0: Double-precision bits Mask */ + +#define FPU_MVFR0_Single_precision_Pos 4U /*!< MVFR0: Single-precision bits Position */ +#define FPU_MVFR0_Single_precision_Msk (0xFUL << FPU_MVFR0_Single_precision_Pos) /*!< MVFR0: Single-precision bits Mask */ + +#define FPU_MVFR0_A_SIMD_registers_Pos 0U /*!< MVFR0: A_SIMD registers bits Position */ +#define FPU_MVFR0_A_SIMD_registers_Msk (0xFUL /*<< FPU_MVFR0_A_SIMD_registers_Pos*/) /*!< MVFR0: A_SIMD registers bits Mask */ + +/* Media and FP Feature Register 1 Definitions */ +#define FPU_MVFR1_FP_fused_MAC_Pos 28U /*!< MVFR1: FP fused MAC bits Position */ +#define FPU_MVFR1_FP_fused_MAC_Msk (0xFUL << FPU_MVFR1_FP_fused_MAC_Pos) /*!< MVFR1: FP fused MAC bits Mask */ + +#define FPU_MVFR1_FP_HPFP_Pos 24U /*!< MVFR1: FP HPFP bits Position */ +#define FPU_MVFR1_FP_HPFP_Msk (0xFUL << FPU_MVFR1_FP_HPFP_Pos) /*!< MVFR1: FP HPFP bits Mask */ + +#define FPU_MVFR1_D_NaN_mode_Pos 4U /*!< MVFR1: D_NaN mode bits Position */ +#define FPU_MVFR1_D_NaN_mode_Msk (0xFUL << FPU_MVFR1_D_NaN_mode_Pos) /*!< MVFR1: D_NaN mode bits Mask */ + +#define FPU_MVFR1_FtZ_mode_Pos 0U /*!< MVFR1: FtZ mode bits Position */ +#define FPU_MVFR1_FtZ_mode_Msk (0xFUL /*<< FPU_MVFR1_FtZ_mode_Pos*/) /*!< MVFR1: FtZ mode bits Mask */ + +/* Media and FP Feature Register 2 Definitions */ + +#define FPU_MVFR2_VFP_Misc_Pos 4U /*!< MVFR2: VFP Misc bits Position */ +#define FPU_MVFR2_VFP_Misc_Msk (0xFUL << FPU_MVFR2_VFP_Misc_Pos) /*!< MVFR2: VFP Misc bits Mask */ + +/*@} end of group CMSIS_FPU */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_CoreDebug Core Debug Registers (CoreDebug) + \brief Type definitions for the Core Debug Registers + @{ + */ + +/** + \brief Structure type to access the Core Debug Register (CoreDebug). + */ +typedef struct +{ + __IOM uint32_t DHCSR; /*!< Offset: 0x000 (R/W) Debug Halting Control and Status Register */ + __OM uint32_t DCRSR; /*!< Offset: 0x004 ( /W) Debug Core Register Selector Register */ + __IOM uint32_t DCRDR; /*!< Offset: 0x008 (R/W) Debug Core Register Data Register */ + __IOM uint32_t DEMCR; /*!< Offset: 0x00C (R/W) Debug Exception and Monitor Control Register */ +} CoreDebug_Type; + +/* Debug Halting Control and Status Register Definitions */ +#define CoreDebug_DHCSR_DBGKEY_Pos 16U /*!< CoreDebug DHCSR: DBGKEY Position */ +#define CoreDebug_DHCSR_DBGKEY_Msk (0xFFFFUL << CoreDebug_DHCSR_DBGKEY_Pos) /*!< CoreDebug DHCSR: DBGKEY Mask */ + +#define CoreDebug_DHCSR_S_RESET_ST_Pos 25U /*!< CoreDebug DHCSR: S_RESET_ST Position */ +#define CoreDebug_DHCSR_S_RESET_ST_Msk (1UL << CoreDebug_DHCSR_S_RESET_ST_Pos) /*!< CoreDebug DHCSR: S_RESET_ST Mask */ + +#define CoreDebug_DHCSR_S_RETIRE_ST_Pos 24U /*!< CoreDebug DHCSR: S_RETIRE_ST Position */ +#define CoreDebug_DHCSR_S_RETIRE_ST_Msk (1UL << CoreDebug_DHCSR_S_RETIRE_ST_Pos) /*!< CoreDebug DHCSR: S_RETIRE_ST Mask */ + +#define CoreDebug_DHCSR_S_LOCKUP_Pos 19U /*!< CoreDebug DHCSR: S_LOCKUP Position */ +#define CoreDebug_DHCSR_S_LOCKUP_Msk (1UL << CoreDebug_DHCSR_S_LOCKUP_Pos) /*!< CoreDebug DHCSR: S_LOCKUP Mask */ + +#define CoreDebug_DHCSR_S_SLEEP_Pos 18U /*!< CoreDebug DHCSR: S_SLEEP Position */ +#define CoreDebug_DHCSR_S_SLEEP_Msk (1UL << CoreDebug_DHCSR_S_SLEEP_Pos) /*!< CoreDebug DHCSR: S_SLEEP Mask */ + +#define CoreDebug_DHCSR_S_HALT_Pos 17U /*!< CoreDebug DHCSR: S_HALT Position */ +#define CoreDebug_DHCSR_S_HALT_Msk (1UL << CoreDebug_DHCSR_S_HALT_Pos) /*!< CoreDebug DHCSR: S_HALT Mask */ + +#define CoreDebug_DHCSR_S_REGRDY_Pos 16U /*!< CoreDebug DHCSR: S_REGRDY Position */ +#define CoreDebug_DHCSR_S_REGRDY_Msk (1UL << CoreDebug_DHCSR_S_REGRDY_Pos) /*!< CoreDebug DHCSR: S_REGRDY Mask */ + +#define CoreDebug_DHCSR_C_SNAPSTALL_Pos 5U /*!< CoreDebug DHCSR: C_SNAPSTALL Position */ +#define CoreDebug_DHCSR_C_SNAPSTALL_Msk (1UL << CoreDebug_DHCSR_C_SNAPSTALL_Pos) /*!< CoreDebug DHCSR: C_SNAPSTALL Mask */ + +#define CoreDebug_DHCSR_C_MASKINTS_Pos 3U /*!< CoreDebug DHCSR: C_MASKINTS Position */ +#define CoreDebug_DHCSR_C_MASKINTS_Msk (1UL << CoreDebug_DHCSR_C_MASKINTS_Pos) /*!< CoreDebug DHCSR: C_MASKINTS Mask */ + +#define CoreDebug_DHCSR_C_STEP_Pos 2U /*!< CoreDebug DHCSR: C_STEP Position */ +#define CoreDebug_DHCSR_C_STEP_Msk (1UL << CoreDebug_DHCSR_C_STEP_Pos) /*!< CoreDebug DHCSR: C_STEP Mask */ + +#define CoreDebug_DHCSR_C_HALT_Pos 1U /*!< CoreDebug DHCSR: C_HALT Position */ +#define CoreDebug_DHCSR_C_HALT_Msk (1UL << CoreDebug_DHCSR_C_HALT_Pos) /*!< CoreDebug DHCSR: C_HALT Mask */ + +#define CoreDebug_DHCSR_C_DEBUGEN_Pos 0U /*!< CoreDebug DHCSR: C_DEBUGEN Position */ +#define CoreDebug_DHCSR_C_DEBUGEN_Msk (1UL /*<< CoreDebug_DHCSR_C_DEBUGEN_Pos*/) /*!< CoreDebug DHCSR: C_DEBUGEN Mask */ + +/* Debug Core Register Selector Register Definitions */ +#define CoreDebug_DCRSR_REGWnR_Pos 16U /*!< CoreDebug DCRSR: REGWnR Position */ +#define CoreDebug_DCRSR_REGWnR_Msk (1UL << CoreDebug_DCRSR_REGWnR_Pos) /*!< CoreDebug DCRSR: REGWnR Mask */ + +#define CoreDebug_DCRSR_REGSEL_Pos 0U /*!< CoreDebug DCRSR: REGSEL Position */ +#define CoreDebug_DCRSR_REGSEL_Msk (0x1FUL /*<< CoreDebug_DCRSR_REGSEL_Pos*/) /*!< CoreDebug DCRSR: REGSEL Mask */ + +/* Debug Exception and Monitor Control Register Definitions */ +#define CoreDebug_DEMCR_TRCENA_Pos 24U /*!< CoreDebug DEMCR: TRCENA Position */ +#define CoreDebug_DEMCR_TRCENA_Msk (1UL << CoreDebug_DEMCR_TRCENA_Pos) /*!< CoreDebug DEMCR: TRCENA Mask */ + +#define CoreDebug_DEMCR_MON_REQ_Pos 19U /*!< CoreDebug DEMCR: MON_REQ Position */ +#define CoreDebug_DEMCR_MON_REQ_Msk (1UL << CoreDebug_DEMCR_MON_REQ_Pos) /*!< CoreDebug DEMCR: MON_REQ Mask */ + +#define CoreDebug_DEMCR_MON_STEP_Pos 18U /*!< CoreDebug DEMCR: MON_STEP Position */ +#define CoreDebug_DEMCR_MON_STEP_Msk (1UL << CoreDebug_DEMCR_MON_STEP_Pos) /*!< CoreDebug DEMCR: MON_STEP Mask */ + +#define CoreDebug_DEMCR_MON_PEND_Pos 17U /*!< CoreDebug DEMCR: MON_PEND Position */ +#define CoreDebug_DEMCR_MON_PEND_Msk (1UL << CoreDebug_DEMCR_MON_PEND_Pos) /*!< CoreDebug DEMCR: MON_PEND Mask */ + +#define CoreDebug_DEMCR_MON_EN_Pos 16U /*!< CoreDebug DEMCR: MON_EN Position */ +#define CoreDebug_DEMCR_MON_EN_Msk (1UL << CoreDebug_DEMCR_MON_EN_Pos) /*!< CoreDebug DEMCR: MON_EN Mask */ + +#define CoreDebug_DEMCR_VC_HARDERR_Pos 10U /*!< CoreDebug DEMCR: VC_HARDERR Position */ +#define CoreDebug_DEMCR_VC_HARDERR_Msk (1UL << CoreDebug_DEMCR_VC_HARDERR_Pos) /*!< CoreDebug DEMCR: VC_HARDERR Mask */ + +#define CoreDebug_DEMCR_VC_INTERR_Pos 9U /*!< CoreDebug DEMCR: VC_INTERR Position */ +#define CoreDebug_DEMCR_VC_INTERR_Msk (1UL << CoreDebug_DEMCR_VC_INTERR_Pos) /*!< CoreDebug DEMCR: VC_INTERR Mask */ + +#define CoreDebug_DEMCR_VC_BUSERR_Pos 8U /*!< CoreDebug DEMCR: VC_BUSERR Position */ +#define CoreDebug_DEMCR_VC_BUSERR_Msk (1UL << CoreDebug_DEMCR_VC_BUSERR_Pos) /*!< CoreDebug DEMCR: VC_BUSERR Mask */ + +#define CoreDebug_DEMCR_VC_STATERR_Pos 7U /*!< CoreDebug DEMCR: VC_STATERR Position */ +#define CoreDebug_DEMCR_VC_STATERR_Msk (1UL << CoreDebug_DEMCR_VC_STATERR_Pos) /*!< CoreDebug DEMCR: VC_STATERR Mask */ + +#define CoreDebug_DEMCR_VC_CHKERR_Pos 6U /*!< CoreDebug DEMCR: VC_CHKERR Position */ +#define CoreDebug_DEMCR_VC_CHKERR_Msk (1UL << CoreDebug_DEMCR_VC_CHKERR_Pos) /*!< CoreDebug DEMCR: VC_CHKERR Mask */ + +#define CoreDebug_DEMCR_VC_NOCPERR_Pos 5U /*!< CoreDebug DEMCR: VC_NOCPERR Position */ +#define CoreDebug_DEMCR_VC_NOCPERR_Msk (1UL << CoreDebug_DEMCR_VC_NOCPERR_Pos) /*!< CoreDebug DEMCR: VC_NOCPERR Mask */ + +#define CoreDebug_DEMCR_VC_MMERR_Pos 4U /*!< CoreDebug DEMCR: VC_MMERR Position */ +#define CoreDebug_DEMCR_VC_MMERR_Msk (1UL << CoreDebug_DEMCR_VC_MMERR_Pos) /*!< CoreDebug DEMCR: VC_MMERR Mask */ + +#define CoreDebug_DEMCR_VC_CORERESET_Pos 0U /*!< CoreDebug DEMCR: VC_CORERESET Position */ +#define CoreDebug_DEMCR_VC_CORERESET_Msk (1UL /*<< CoreDebug_DEMCR_VC_CORERESET_Pos*/) /*!< CoreDebug DEMCR: VC_CORERESET Mask */ + +/*@} end of group CMSIS_CoreDebug */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_core_bitfield Core register bit field macros + \brief Macros for use with bit field definitions (xxx_Pos, xxx_Msk). + @{ + */ + +/** + \brief Mask and shift a bit field value for use in a register bit range. + \param[in] field Name of the register bit field. + \param[in] value Value of the bit field. This parameter is interpreted as an uint32_t type. + \return Masked and shifted value. +*/ +#define _VAL2FLD(field, value) (((uint32_t)(value) << field ## _Pos) & field ## _Msk) + +/** + \brief Mask and shift a register value to extract a bit filed value. + \param[in] field Name of the register bit field. + \param[in] value Value of register. This parameter is interpreted as an uint32_t type. + \return Masked and shifted bit field value. +*/ +#define _FLD2VAL(field, value) (((uint32_t)(value) & field ## _Msk) >> field ## _Pos) + +/*@} end of group CMSIS_core_bitfield */ + + +/** + \ingroup CMSIS_core_register + \defgroup CMSIS_core_base Core Definitions + \brief Definitions for base addresses, unions, and structures. + @{ + */ + +/* Memory mapping of Core Hardware */ +#define SCS_BASE (0xE000E000UL) /*!< System Control Space Base Address */ +#define ITM_BASE (0xE0000000UL) /*!< ITM Base Address */ +#define DWT_BASE (0xE0001000UL) /*!< DWT Base Address */ +#define TPI_BASE (0xE0040000UL) /*!< TPI Base Address */ +#define CoreDebug_BASE (0xE000EDF0UL) /*!< Core Debug Base Address */ +#define SysTick_BASE (SCS_BASE + 0x0010UL) /*!< SysTick Base Address */ +#define NVIC_BASE (SCS_BASE + 0x0100UL) /*!< NVIC Base Address */ +#define SCB_BASE (SCS_BASE + 0x0D00UL) /*!< System Control Block Base Address */ + +#define SCnSCB ((SCnSCB_Type *) SCS_BASE ) /*!< System control Register not in SCB */ +#define SCB ((SCB_Type *) SCB_BASE ) /*!< SCB configuration struct */ +#define SysTick ((SysTick_Type *) SysTick_BASE ) /*!< SysTick configuration struct */ +#define NVIC ((NVIC_Type *) NVIC_BASE ) /*!< NVIC configuration struct */ +#define ITM ((ITM_Type *) ITM_BASE ) /*!< ITM configuration struct */ +#define DWT ((DWT_Type *) DWT_BASE ) /*!< DWT configuration struct */ +#define TPI ((TPI_Type *) TPI_BASE ) /*!< TPI configuration struct */ +#define CoreDebug ((CoreDebug_Type *) CoreDebug_BASE) /*!< Core Debug configuration struct */ + +#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) + #define MPU_BASE (SCS_BASE + 0x0D90UL) /*!< Memory Protection Unit */ + #define MPU ((MPU_Type *) MPU_BASE ) /*!< Memory Protection Unit */ +#endif + +#define FPU_BASE (SCS_BASE + 0x0F30UL) /*!< Floating Point Unit */ +#define FPU ((FPU_Type *) FPU_BASE ) /*!< Floating Point Unit */ + +/*@} */ + + + +/******************************************************************************* + * Hardware Abstraction Layer + Core Function Interface contains: + - Core NVIC Functions + - Core SysTick Functions + - Core Debug Functions + - Core Register Access Functions + ******************************************************************************/ +/** + \defgroup CMSIS_Core_FunctionInterface Functions and Instructions Reference +*/ + + + +/* ########################## NVIC functions #################################### */ +/** + \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_NVICFunctions NVIC Functions + \brief Functions that manage interrupts and exceptions via the NVIC. + @{ + */ + +#ifdef CMSIS_NVIC_VIRTUAL + #ifndef CMSIS_NVIC_VIRTUAL_HEADER_FILE + #define CMSIS_NVIC_VIRTUAL_HEADER_FILE "cmsis_nvic_virtual.h" + #endif + #include CMSIS_NVIC_VIRTUAL_HEADER_FILE +#else + #define NVIC_SetPriorityGrouping __NVIC_SetPriorityGrouping + #define NVIC_GetPriorityGrouping __NVIC_GetPriorityGrouping + #define NVIC_EnableIRQ __NVIC_EnableIRQ + #define NVIC_GetEnableIRQ __NVIC_GetEnableIRQ + #define NVIC_DisableIRQ __NVIC_DisableIRQ + #define NVIC_GetPendingIRQ __NVIC_GetPendingIRQ + #define NVIC_SetPendingIRQ __NVIC_SetPendingIRQ + #define NVIC_ClearPendingIRQ __NVIC_ClearPendingIRQ + #define NVIC_GetActive __NVIC_GetActive + #define NVIC_SetPriority __NVIC_SetPriority + #define NVIC_GetPriority __NVIC_GetPriority + #define NVIC_SystemReset __NVIC_SystemReset +#endif /* CMSIS_NVIC_VIRTUAL */ + +#ifdef CMSIS_VECTAB_VIRTUAL + #ifndef CMSIS_VECTAB_VIRTUAL_HEADER_FILE + #define CMSIS_VECTAB_VIRTUAL_HEADER_FILE "cmsis_vectab_virtual.h" + #endif + #include CMSIS_VECTAB_VIRTUAL_HEADER_FILE +#else + #define NVIC_SetVector __NVIC_SetVector + #define NVIC_GetVector __NVIC_GetVector +#endif /* (CMSIS_VECTAB_VIRTUAL) */ + +#define NVIC_USER_IRQ_OFFSET 16 + + +/* The following EXC_RETURN values are saved the LR on exception entry */ +#define EXC_RETURN_HANDLER (0xFFFFFFF1UL) /* return to Handler mode, uses MSP after return */ +#define EXC_RETURN_THREAD_MSP (0xFFFFFFF9UL) /* return to Thread mode, uses MSP after return */ +#define EXC_RETURN_THREAD_PSP (0xFFFFFFFDUL) /* return to Thread mode, uses PSP after return */ +#define EXC_RETURN_HANDLER_FPU (0xFFFFFFE1UL) /* return to Handler mode, uses MSP after return, restore floating-point state */ +#define EXC_RETURN_THREAD_MSP_FPU (0xFFFFFFE9UL) /* return to Thread mode, uses MSP after return, restore floating-point state */ +#define EXC_RETURN_THREAD_PSP_FPU (0xFFFFFFEDUL) /* return to Thread mode, uses PSP after return, restore floating-point state */ + + +/** + \brief Set Priority Grouping + \details Sets the priority grouping field using the required unlock sequence. + The parameter PriorityGroup is assigned to the field SCB->AIRCR [10:8] PRIGROUP field. + Only values from 0..7 are used. + In case of a conflict between priority grouping and available + priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set. + \param [in] PriorityGroup Priority grouping field. + */ +__STATIC_INLINE void __NVIC_SetPriorityGrouping(uint32_t PriorityGroup) +{ + uint32_t reg_value; + uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL); /* only values 0..7 are used */ + + reg_value = SCB->AIRCR; /* read old register configuration */ + reg_value &= ~((uint32_t)(SCB_AIRCR_VECTKEY_Msk | SCB_AIRCR_PRIGROUP_Msk)); /* clear bits to change */ + reg_value = (reg_value | + ((uint32_t)0x5FAUL << SCB_AIRCR_VECTKEY_Pos) | + (PriorityGroupTmp << SCB_AIRCR_PRIGROUP_Pos) ); /* Insert write key and priority group */ + SCB->AIRCR = reg_value; +} + + +/** + \brief Get Priority Grouping + \details Reads the priority grouping field from the NVIC Interrupt Controller. + \return Priority grouping field (SCB->AIRCR [10:8] PRIGROUP field). + */ +__STATIC_INLINE uint32_t __NVIC_GetPriorityGrouping(void) +{ + return ((uint32_t)((SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) >> SCB_AIRCR_PRIGROUP_Pos)); +} + + +/** + \brief Enable Interrupt + \details Enables a device specific interrupt in the NVIC interrupt controller. + \param [in] IRQn Device specific interrupt number. + \note IRQn must not be negative. + */ +__STATIC_INLINE void __NVIC_EnableIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + __COMPILER_BARRIER(); + NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL)); + __COMPILER_BARRIER(); + } +} + + +/** + \brief Get Interrupt Enable status + \details Returns a device specific interrupt enable status from the NVIC interrupt controller. + \param [in] IRQn Device specific interrupt number. + \return 0 Interrupt is not enabled. + \return 1 Interrupt is enabled. + \note IRQn must not be negative. + */ +__STATIC_INLINE uint32_t __NVIC_GetEnableIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + return((uint32_t)(((NVIC->ISER[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL)); + } + else + { + return(0U); + } +} + + +/** + \brief Disable Interrupt + \details Disables a device specific interrupt in the NVIC interrupt controller. + \param [in] IRQn Device specific interrupt number. + \note IRQn must not be negative. + */ +__STATIC_INLINE void __NVIC_DisableIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + NVIC->ICER[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL)); + __DSB(); + __ISB(); + } +} + + +/** + \brief Get Pending Interrupt + \details Reads the NVIC pending register and returns the pending bit for the specified device specific interrupt. + \param [in] IRQn Device specific interrupt number. + \return 0 Interrupt status is not pending. + \return 1 Interrupt status is pending. + \note IRQn must not be negative. + */ +__STATIC_INLINE uint32_t __NVIC_GetPendingIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + return((uint32_t)(((NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL)); + } + else + { + return(0U); + } +} + + +/** + \brief Set Pending Interrupt + \details Sets the pending bit of a device specific interrupt in the NVIC pending register. + \param [in] IRQn Device specific interrupt number. + \note IRQn must not be negative. + */ +__STATIC_INLINE void __NVIC_SetPendingIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + NVIC->ISPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL)); + } +} + + +/** + \brief Clear Pending Interrupt + \details Clears the pending bit of a device specific interrupt in the NVIC pending register. + \param [in] IRQn Device specific interrupt number. + \note IRQn must not be negative. + */ +__STATIC_INLINE void __NVIC_ClearPendingIRQ(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + NVIC->ICPR[(((uint32_t)IRQn) >> 5UL)] = (uint32_t)(1UL << (((uint32_t)IRQn) & 0x1FUL)); + } +} + + +/** + \brief Get Active Interrupt + \details Reads the active register in the NVIC and returns the active bit for the device specific interrupt. + \param [in] IRQn Device specific interrupt number. + \return 0 Interrupt status is not active. + \return 1 Interrupt status is active. + \note IRQn must not be negative. + */ +__STATIC_INLINE uint32_t __NVIC_GetActive(IRQn_Type IRQn) +{ + if ((int32_t)(IRQn) >= 0) + { + return((uint32_t)(((NVIC->IABR[(((uint32_t)IRQn) >> 5UL)] & (1UL << (((uint32_t)IRQn) & 0x1FUL))) != 0UL) ? 1UL : 0UL)); + } + else + { + return(0U); + } +} + + +/** + \brief Set Interrupt Priority + \details Sets the priority of a device specific interrupt or a processor exception. + The interrupt number can be positive to specify a device specific interrupt, + or negative to specify a processor exception. + \param [in] IRQn Interrupt number. + \param [in] priority Priority to set. + \note The priority cannot be set for every processor exception. + */ +__STATIC_INLINE void __NVIC_SetPriority(IRQn_Type IRQn, uint32_t priority) +{ + if ((int32_t)(IRQn) >= 0) + { + NVIC->IP[((uint32_t)IRQn)] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL); + } + else + { + SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] = (uint8_t)((priority << (8U - __NVIC_PRIO_BITS)) & (uint32_t)0xFFUL); + } +} + + +/** + \brief Get Interrupt Priority + \details Reads the priority of a device specific interrupt or a processor exception. + The interrupt number can be positive to specify a device specific interrupt, + or negative to specify a processor exception. + \param [in] IRQn Interrupt number. + \return Interrupt Priority. + Value is aligned automatically to the implemented priority bits of the microcontroller. + */ +__STATIC_INLINE uint32_t __NVIC_GetPriority(IRQn_Type IRQn) +{ + + if ((int32_t)(IRQn) >= 0) + { + return(((uint32_t)NVIC->IP[((uint32_t)IRQn)] >> (8U - __NVIC_PRIO_BITS))); + } + else + { + return(((uint32_t)SCB->SHP[(((uint32_t)IRQn) & 0xFUL)-4UL] >> (8U - __NVIC_PRIO_BITS))); + } +} + + +/** + \brief Encode Priority + \details Encodes the priority for an interrupt with the given priority group, + preemptive priority value, and subpriority value. + In case of a conflict between priority grouping and available + priority bits (__NVIC_PRIO_BITS), the smallest possible priority group is set. + \param [in] PriorityGroup Used priority group. + \param [in] PreemptPriority Preemptive priority value (starting from 0). + \param [in] SubPriority Subpriority value (starting from 0). + \return Encoded priority. Value can be used in the function \ref NVIC_SetPriority(). + */ +__STATIC_INLINE uint32_t NVIC_EncodePriority (uint32_t PriorityGroup, uint32_t PreemptPriority, uint32_t SubPriority) +{ + uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL); /* only values 0..7 are used */ + uint32_t PreemptPriorityBits; + uint32_t SubPriorityBits; + + PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp); + SubPriorityBits = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS)); + + return ( + ((PreemptPriority & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL)) << SubPriorityBits) | + ((SubPriority & (uint32_t)((1UL << (SubPriorityBits )) - 1UL))) + ); +} + + +/** + \brief Decode Priority + \details Decodes an interrupt priority value with a given priority group to + preemptive priority value and subpriority value. + In case of a conflict between priority grouping and available + priority bits (__NVIC_PRIO_BITS) the smallest possible priority group is set. + \param [in] Priority Priority value, which can be retrieved with the function \ref NVIC_GetPriority(). + \param [in] PriorityGroup Used priority group. + \param [out] pPreemptPriority Preemptive priority value (starting from 0). + \param [out] pSubPriority Subpriority value (starting from 0). + */ +__STATIC_INLINE void NVIC_DecodePriority (uint32_t Priority, uint32_t PriorityGroup, uint32_t* const pPreemptPriority, uint32_t* const pSubPriority) +{ + uint32_t PriorityGroupTmp = (PriorityGroup & (uint32_t)0x07UL); /* only values 0..7 are used */ + uint32_t PreemptPriorityBits; + uint32_t SubPriorityBits; + + PreemptPriorityBits = ((7UL - PriorityGroupTmp) > (uint32_t)(__NVIC_PRIO_BITS)) ? (uint32_t)(__NVIC_PRIO_BITS) : (uint32_t)(7UL - PriorityGroupTmp); + SubPriorityBits = ((PriorityGroupTmp + (uint32_t)(__NVIC_PRIO_BITS)) < (uint32_t)7UL) ? (uint32_t)0UL : (uint32_t)((PriorityGroupTmp - 7UL) + (uint32_t)(__NVIC_PRIO_BITS)); + + *pPreemptPriority = (Priority >> SubPriorityBits) & (uint32_t)((1UL << (PreemptPriorityBits)) - 1UL); + *pSubPriority = (Priority ) & (uint32_t)((1UL << (SubPriorityBits )) - 1UL); +} + + +/** + \brief Set Interrupt Vector + \details Sets an interrupt vector in SRAM based interrupt vector table. + The interrupt number can be positive to specify a device specific interrupt, + or negative to specify a processor exception. + VTOR must been relocated to SRAM before. + \param [in] IRQn Interrupt number + \param [in] vector Address of interrupt handler function + */ +__STATIC_INLINE void __NVIC_SetVector(IRQn_Type IRQn, uint32_t vector) +{ + uint32_t *vectors = (uint32_t *)SCB->VTOR; + vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET] = vector; + /* ARM Application Note 321 states that the M4 does not require the architectural barrier */ +} + + +/** + \brief Get Interrupt Vector + \details Reads an interrupt vector from interrupt vector table. + The interrupt number can be positive to specify a device specific interrupt, + or negative to specify a processor exception. + \param [in] IRQn Interrupt number. + \return Address of interrupt handler function + */ +__STATIC_INLINE uint32_t __NVIC_GetVector(IRQn_Type IRQn) +{ + uint32_t *vectors = (uint32_t *)SCB->VTOR; + return vectors[(int32_t)IRQn + NVIC_USER_IRQ_OFFSET]; +} + + +/** + \brief System Reset + \details Initiates a system reset request to reset the MCU. + */ +__NO_RETURN __STATIC_INLINE void __NVIC_SystemReset(void) +{ + __DSB(); /* Ensure all outstanding memory accesses included + buffered write are completed before reset */ + SCB->AIRCR = (uint32_t)((0x5FAUL << SCB_AIRCR_VECTKEY_Pos) | + (SCB->AIRCR & SCB_AIRCR_PRIGROUP_Msk) | + SCB_AIRCR_SYSRESETREQ_Msk ); /* Keep priority group unchanged */ + __DSB(); /* Ensure completion of memory access */ + + for(;;) /* wait until reset */ + { + __NOP(); + } +} + +/*@} end of CMSIS_Core_NVICFunctions */ + + +/* ########################## MPU functions #################################### */ + +#if defined (__MPU_PRESENT) && (__MPU_PRESENT == 1U) + +#include "mpu_armv7.h" + +#endif + + +/* ########################## FPU functions #################################### */ +/** + \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_FpuFunctions FPU Functions + \brief Function that provides FPU type. + @{ + */ + +/** + \brief get FPU type + \details returns the FPU type + \returns + - \b 0: No FPU + - \b 1: Single precision FPU + - \b 2: Double + Single precision FPU + */ +__STATIC_INLINE uint32_t SCB_GetFPUType(void) +{ + uint32_t mvfr0; + + mvfr0 = FPU->MVFR0; + if ((mvfr0 & (FPU_MVFR0_Single_precision_Msk | FPU_MVFR0_Double_precision_Msk)) == 0x020U) + { + return 1U; /* Single precision FPU */ + } + else + { + return 0U; /* No FPU */ + } +} + + +/*@} end of CMSIS_Core_FpuFunctions */ + + + +/* ################################## SysTick function ############################################ */ +/** + \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_Core_SysTickFunctions SysTick Functions + \brief Functions that configure the System. + @{ + */ + +#if defined (__Vendor_SysTickConfig) && (__Vendor_SysTickConfig == 0U) + +/** + \brief System Tick Configuration + \details Initializes the System Timer and its interrupt, and starts the System Tick Timer. + Counter is in free running mode to generate periodic interrupts. + \param [in] ticks Number of ticks between two interrupts. + \return 0 Function succeeded. + \return 1 Function failed. + \note When the variable __Vendor_SysTickConfig is set to 1, then the + function SysTick_Config is not included. In this case, the file device.h + must contain a vendor-specific implementation of this function. + */ +__STATIC_INLINE uint32_t SysTick_Config(uint32_t ticks) +{ + if ((ticks - 1UL) > SysTick_LOAD_RELOAD_Msk) + { + return (1UL); /* Reload value impossible */ + } + + SysTick->LOAD = (uint32_t)(ticks - 1UL); /* set reload register */ + NVIC_SetPriority (SysTick_IRQn, (1UL << __NVIC_PRIO_BITS) - 1UL); /* set Priority for Systick Interrupt */ + SysTick->VAL = 0UL; /* Load the SysTick Counter Value */ + SysTick->CTRL = SysTick_CTRL_CLKSOURCE_Msk | + SysTick_CTRL_TICKINT_Msk | + SysTick_CTRL_ENABLE_Msk; /* Enable SysTick IRQ and SysTick Timer */ + return (0UL); /* Function successful */ +} + +#endif + +/*@} end of CMSIS_Core_SysTickFunctions */ + + + +/* ##################################### Debug In/Output function ########################################### */ +/** + \ingroup CMSIS_Core_FunctionInterface + \defgroup CMSIS_core_DebugFunctions ITM Functions + \brief Functions that access the ITM debug interface. + @{ + */ + +extern volatile int32_t ITM_RxBuffer; /*!< External variable to receive characters. */ +#define ITM_RXBUFFER_EMPTY ((int32_t)0x5AA55AA5U) /*!< Value identifying \ref ITM_RxBuffer is ready for next character. */ + + +/** + \brief ITM Send Character + \details Transmits a character via the ITM channel 0, and + \li Just returns when no debugger is connected that has booked the output. + \li Is blocking when a debugger is connected, but the previous character sent has not been transmitted. + \param [in] ch Character to transmit. + \returns Character to transmit. + */ +__STATIC_INLINE uint32_t ITM_SendChar (uint32_t ch) +{ + if (((ITM->TCR & ITM_TCR_ITMENA_Msk) != 0UL) && /* ITM enabled */ + ((ITM->TER & 1UL ) != 0UL) ) /* ITM Port #0 enabled */ + { + while (ITM->PORT[0U].u32 == 0UL) + { + __NOP(); + } + ITM->PORT[0U].u8 = (uint8_t)ch; + } + return (ch); +} + + +/** + \brief ITM Receive Character + \details Inputs a character via the external variable \ref ITM_RxBuffer. + \return Received character. + \return -1 No character pending. + */ +__STATIC_INLINE int32_t ITM_ReceiveChar (void) +{ + int32_t ch = -1; /* no character available */ + + if (ITM_RxBuffer != ITM_RXBUFFER_EMPTY) + { + ch = ITM_RxBuffer; + ITM_RxBuffer = ITM_RXBUFFER_EMPTY; /* ready for next character */ + } + + return (ch); +} + + +/** + \brief ITM Check Character + \details Checks whether a character is pending for reading in the variable \ref ITM_RxBuffer. + \return 0 No character available. + \return 1 Character available. + */ +__STATIC_INLINE int32_t ITM_CheckChar (void) +{ + + if (ITM_RxBuffer == ITM_RXBUFFER_EMPTY) + { + return (0); /* no character available */ + } + else + { + return (1); /* character available */ + } +} + +/*@} end of CMSIS_core_DebugFunctions */ + + + + +#ifdef __cplusplus +} +#endif + +#endif /* __CORE_CM4_H_DEPENDANT */ + +#endif /* __CMSIS_GENERIC */ diff --git a/Firmware/cmsis/cm4/core_support/mpu_armv7.h b/Firmware/cmsis/cm4/core_support/mpu_armv7.h new file mode 100644 index 0000000..442fc21 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/mpu_armv7.h @@ -0,0 +1,275 @@ +/****************************************************************************** + * @file mpu_armv7.h + * @brief CMSIS MPU API for Armv7-M MPU + * @version V5.1.1 + * @date 10. February 2020 + ******************************************************************************/ +/* + * Copyright (c) 2017-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if defined ( __ICCARM__ ) + #pragma system_include /* treat file as system include file for MISRA check */ +#elif defined (__clang__) + #pragma clang system_header /* treat file as system include file */ +#endif + +#ifndef ARM_MPU_ARMV7_H +#define ARM_MPU_ARMV7_H + +#define ARM_MPU_REGION_SIZE_32B ((uint8_t)0x04U) ///!< MPU Region Size 32 Bytes +#define ARM_MPU_REGION_SIZE_64B ((uint8_t)0x05U) ///!< MPU Region Size 64 Bytes +#define ARM_MPU_REGION_SIZE_128B ((uint8_t)0x06U) ///!< MPU Region Size 128 Bytes +#define ARM_MPU_REGION_SIZE_256B ((uint8_t)0x07U) ///!< MPU Region Size 256 Bytes +#define ARM_MPU_REGION_SIZE_512B ((uint8_t)0x08U) ///!< MPU Region Size 512 Bytes +#define ARM_MPU_REGION_SIZE_1KB ((uint8_t)0x09U) ///!< MPU Region Size 1 KByte +#define ARM_MPU_REGION_SIZE_2KB ((uint8_t)0x0AU) ///!< MPU Region Size 2 KBytes +#define ARM_MPU_REGION_SIZE_4KB ((uint8_t)0x0BU) ///!< MPU Region Size 4 KBytes +#define ARM_MPU_REGION_SIZE_8KB ((uint8_t)0x0CU) ///!< MPU Region Size 8 KBytes +#define ARM_MPU_REGION_SIZE_16KB ((uint8_t)0x0DU) ///!< MPU Region Size 16 KBytes +#define ARM_MPU_REGION_SIZE_32KB ((uint8_t)0x0EU) ///!< MPU Region Size 32 KBytes +#define ARM_MPU_REGION_SIZE_64KB ((uint8_t)0x0FU) ///!< MPU Region Size 64 KBytes +#define ARM_MPU_REGION_SIZE_128KB ((uint8_t)0x10U) ///!< MPU Region Size 128 KBytes +#define ARM_MPU_REGION_SIZE_256KB ((uint8_t)0x11U) ///!< MPU Region Size 256 KBytes +#define ARM_MPU_REGION_SIZE_512KB ((uint8_t)0x12U) ///!< MPU Region Size 512 KBytes +#define ARM_MPU_REGION_SIZE_1MB ((uint8_t)0x13U) ///!< MPU Region Size 1 MByte +#define ARM_MPU_REGION_SIZE_2MB ((uint8_t)0x14U) ///!< MPU Region Size 2 MBytes +#define ARM_MPU_REGION_SIZE_4MB ((uint8_t)0x15U) ///!< MPU Region Size 4 MBytes +#define ARM_MPU_REGION_SIZE_8MB ((uint8_t)0x16U) ///!< MPU Region Size 8 MBytes +#define ARM_MPU_REGION_SIZE_16MB ((uint8_t)0x17U) ///!< MPU Region Size 16 MBytes +#define ARM_MPU_REGION_SIZE_32MB ((uint8_t)0x18U) ///!< MPU Region Size 32 MBytes +#define ARM_MPU_REGION_SIZE_64MB ((uint8_t)0x19U) ///!< MPU Region Size 64 MBytes +#define ARM_MPU_REGION_SIZE_128MB ((uint8_t)0x1AU) ///!< MPU Region Size 128 MBytes +#define ARM_MPU_REGION_SIZE_256MB ((uint8_t)0x1BU) ///!< MPU Region Size 256 MBytes +#define ARM_MPU_REGION_SIZE_512MB ((uint8_t)0x1CU) ///!< MPU Region Size 512 MBytes +#define ARM_MPU_REGION_SIZE_1GB ((uint8_t)0x1DU) ///!< MPU Region Size 1 GByte +#define ARM_MPU_REGION_SIZE_2GB ((uint8_t)0x1EU) ///!< MPU Region Size 2 GBytes +#define ARM_MPU_REGION_SIZE_4GB ((uint8_t)0x1FU) ///!< MPU Region Size 4 GBytes + +#define ARM_MPU_AP_NONE 0U ///!< MPU Access Permission no access +#define ARM_MPU_AP_PRIV 1U ///!< MPU Access Permission privileged access only +#define ARM_MPU_AP_URO 2U ///!< MPU Access Permission unprivileged access read-only +#define ARM_MPU_AP_FULL 3U ///!< MPU Access Permission full access +#define ARM_MPU_AP_PRO 5U ///!< MPU Access Permission privileged access read-only +#define ARM_MPU_AP_RO 6U ///!< MPU Access Permission read-only access + +/** MPU Region Base Address Register Value +* +* \param Region The region to be configured, number 0 to 15. +* \param BaseAddress The base address for the region. +*/ +#define ARM_MPU_RBAR(Region, BaseAddress) \ + (((BaseAddress) & MPU_RBAR_ADDR_Msk) | \ + ((Region) & MPU_RBAR_REGION_Msk) | \ + (MPU_RBAR_VALID_Msk)) + +/** +* MPU Memory Access Attributes +* +* \param TypeExtField Type extension field, allows you to configure memory access type, for example strongly ordered, peripheral. +* \param IsShareable Region is shareable between multiple bus masters. +* \param IsCacheable Region is cacheable, i.e. its value may be kept in cache. +* \param IsBufferable Region is bufferable, i.e. using write-back caching. Cacheable but non-bufferable regions use write-through policy. +*/ +#define ARM_MPU_ACCESS_(TypeExtField, IsShareable, IsCacheable, IsBufferable) \ + ((((TypeExtField) << MPU_RASR_TEX_Pos) & MPU_RASR_TEX_Msk) | \ + (((IsShareable) << MPU_RASR_S_Pos) & MPU_RASR_S_Msk) | \ + (((IsCacheable) << MPU_RASR_C_Pos) & MPU_RASR_C_Msk) | \ + (((IsBufferable) << MPU_RASR_B_Pos) & MPU_RASR_B_Msk)) + +/** +* MPU Region Attribute and Size Register Value +* +* \param DisableExec Instruction access disable bit, 1= disable instruction fetches. +* \param AccessPermission Data access permissions, allows you to configure read/write access for User and Privileged mode. +* \param AccessAttributes Memory access attribution, see \ref ARM_MPU_ACCESS_. +* \param SubRegionDisable Sub-region disable field. +* \param Size Region size of the region to be configured, for example 4K, 8K. +*/ +#define ARM_MPU_RASR_EX(DisableExec, AccessPermission, AccessAttributes, SubRegionDisable, Size) \ + ((((DisableExec) << MPU_RASR_XN_Pos) & MPU_RASR_XN_Msk) | \ + (((AccessPermission) << MPU_RASR_AP_Pos) & MPU_RASR_AP_Msk) | \ + (((AccessAttributes) & (MPU_RASR_TEX_Msk | MPU_RASR_S_Msk | MPU_RASR_C_Msk | MPU_RASR_B_Msk))) | \ + (((SubRegionDisable) << MPU_RASR_SRD_Pos) & MPU_RASR_SRD_Msk) | \ + (((Size) << MPU_RASR_SIZE_Pos) & MPU_RASR_SIZE_Msk) | \ + (((MPU_RASR_ENABLE_Msk)))) + +/** +* MPU Region Attribute and Size Register Value +* +* \param DisableExec Instruction access disable bit, 1= disable instruction fetches. +* \param AccessPermission Data access permissions, allows you to configure read/write access for User and Privileged mode. +* \param TypeExtField Type extension field, allows you to configure memory access type, for example strongly ordered, peripheral. +* \param IsShareable Region is shareable between multiple bus masters. +* \param IsCacheable Region is cacheable, i.e. its value may be kept in cache. +* \param IsBufferable Region is bufferable, i.e. using write-back caching. Cacheable but non-bufferable regions use write-through policy. +* \param SubRegionDisable Sub-region disable field. +* \param Size Region size of the region to be configured, for example 4K, 8K. +*/ +#define ARM_MPU_RASR(DisableExec, AccessPermission, TypeExtField, IsShareable, IsCacheable, IsBufferable, SubRegionDisable, Size) \ + ARM_MPU_RASR_EX(DisableExec, AccessPermission, ARM_MPU_ACCESS_(TypeExtField, IsShareable, IsCacheable, IsBufferable), SubRegionDisable, Size) + +/** +* MPU Memory Access Attribute for strongly ordered memory. +* - TEX: 000b +* - Shareable +* - Non-cacheable +* - Non-bufferable +*/ +#define ARM_MPU_ACCESS_ORDERED ARM_MPU_ACCESS_(0U, 1U, 0U, 0U) + +/** +* MPU Memory Access Attribute for device memory. +* - TEX: 000b (if shareable) or 010b (if non-shareable) +* - Shareable or non-shareable +* - Non-cacheable +* - Bufferable (if shareable) or non-bufferable (if non-shareable) +* +* \param IsShareable Configures the device memory as shareable or non-shareable. +*/ +#define ARM_MPU_ACCESS_DEVICE(IsShareable) ((IsShareable) ? ARM_MPU_ACCESS_(0U, 1U, 0U, 1U) : ARM_MPU_ACCESS_(2U, 0U, 0U, 0U)) + +/** +* MPU Memory Access Attribute for normal memory. +* - TEX: 1BBb (reflecting outer cacheability rules) +* - Shareable or non-shareable +* - Cacheable or non-cacheable (reflecting inner cacheability rules) +* - Bufferable or non-bufferable (reflecting inner cacheability rules) +* +* \param OuterCp Configures the outer cache policy. +* \param InnerCp Configures the inner cache policy. +* \param IsShareable Configures the memory as shareable or non-shareable. +*/ +#define ARM_MPU_ACCESS_NORMAL(OuterCp, InnerCp, IsShareable) ARM_MPU_ACCESS_((4U | (OuterCp)), IsShareable, ((InnerCp) >> 1U), ((InnerCp) & 1U)) + +/** +* MPU Memory Access Attribute non-cacheable policy. +*/ +#define ARM_MPU_CACHEP_NOCACHE 0U + +/** +* MPU Memory Access Attribute write-back, write and read allocate policy. +*/ +#define ARM_MPU_CACHEP_WB_WRA 1U + +/** +* MPU Memory Access Attribute write-through, no write allocate policy. +*/ +#define ARM_MPU_CACHEP_WT_NWA 2U + +/** +* MPU Memory Access Attribute write-back, no write allocate policy. +*/ +#define ARM_MPU_CACHEP_WB_NWA 3U + + +/** +* Struct for a single MPU Region +*/ +typedef struct { + uint32_t RBAR; //!< The region base address register value (RBAR) + uint32_t RASR; //!< The region attribute and size register value (RASR) \ref MPU_RASR +} ARM_MPU_Region_t; + +/** Enable the MPU. +* \param MPU_Control Default access permissions for unconfigured regions. +*/ +__STATIC_INLINE void ARM_MPU_Enable(uint32_t MPU_Control) +{ + __DMB(); + MPU->CTRL = MPU_Control | MPU_CTRL_ENABLE_Msk; +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB->SHCSR |= SCB_SHCSR_MEMFAULTENA_Msk; +#endif + __DSB(); + __ISB(); +} + +/** Disable the MPU. +*/ +__STATIC_INLINE void ARM_MPU_Disable(void) +{ + __DMB(); +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB->SHCSR &= ~SCB_SHCSR_MEMFAULTENA_Msk; +#endif + MPU->CTRL &= ~MPU_CTRL_ENABLE_Msk; + __DSB(); + __ISB(); +} + +/** Clear and disable the given MPU region. +* \param rnr Region number to be cleared. +*/ +__STATIC_INLINE void ARM_MPU_ClrRegion(uint32_t rnr) +{ + MPU->RNR = rnr; + MPU->RASR = 0U; +} + +/** Configure an MPU region. +* \param rbar Value for RBAR register. +* \param rsar Value for RSAR register. +*/ +__STATIC_INLINE void ARM_MPU_SetRegion(uint32_t rbar, uint32_t rasr) +{ + MPU->RBAR = rbar; + MPU->RASR = rasr; +} + +/** Configure the given MPU region. +* \param rnr Region number to be configured. +* \param rbar Value for RBAR register. +* \param rsar Value for RSAR register. +*/ +__STATIC_INLINE void ARM_MPU_SetRegionEx(uint32_t rnr, uint32_t rbar, uint32_t rasr) +{ + MPU->RNR = rnr; + MPU->RBAR = rbar; + MPU->RASR = rasr; +} + +/** Memcopy with strictly ordered memory access, e.g. for register targets. +* \param dst Destination data is copied to. +* \param src Source data is copied from. +* \param len Amount of data words to be copied. +*/ +__STATIC_INLINE void ARM_MPU_OrderedMemcpy(volatile uint32_t* dst, const uint32_t* __RESTRICT src, uint32_t len) +{ + uint32_t i; + for (i = 0U; i < len; ++i) + { + dst[i] = src[i]; + } +} + +/** Load the given number of MPU regions from a table. +* \param table Pointer to the MPU configuration table. +* \param cnt Amount of regions to be configured. +*/ +__STATIC_INLINE void ARM_MPU_Load(ARM_MPU_Region_t const* table, uint32_t cnt) +{ + const uint32_t rowWordSize = sizeof(ARM_MPU_Region_t)/4U; + while (cnt > MPU_TYPE_RALIASES) { + ARM_MPU_OrderedMemcpy(&(MPU->RBAR), &(table->RBAR), MPU_TYPE_RALIASES*rowWordSize); + table += MPU_TYPE_RALIASES; + cnt -= MPU_TYPE_RALIASES; + } + ARM_MPU_OrderedMemcpy(&(MPU->RBAR), &(table->RBAR), cnt*rowWordSize); +} + +#endif diff --git a/Firmware/cmsis/cm4/core_support/mpu_armv8.h b/Firmware/cmsis/cm4/core_support/mpu_armv8.h new file mode 100644 index 0000000..3a197fb --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/mpu_armv8.h @@ -0,0 +1,352 @@ +/****************************************************************************** + * @file mpu_armv8.h + * @brief CMSIS MPU API for Armv8-M and Armv8.1-M MPU + * @version V5.1.2 + * @date 10. February 2020 + ******************************************************************************/ +/* + * Copyright (c) 2017-2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if defined ( __ICCARM__ ) + #pragma system_include /* treat file as system include file for MISRA check */ +#elif defined (__clang__) + #pragma clang system_header /* treat file as system include file */ +#endif + +#ifndef ARM_MPU_ARMV8_H +#define ARM_MPU_ARMV8_H + +/** \brief Attribute for device memory (outer only) */ +#define ARM_MPU_ATTR_DEVICE ( 0U ) + +/** \brief Attribute for non-cacheable, normal memory */ +#define ARM_MPU_ATTR_NON_CACHEABLE ( 4U ) + +/** \brief Attribute for normal memory (outer and inner) +* \param NT Non-Transient: Set to 1 for non-transient data. +* \param WB Write-Back: Set to 1 to use write-back update policy. +* \param RA Read Allocation: Set to 1 to use cache allocation on read miss. +* \param WA Write Allocation: Set to 1 to use cache allocation on write miss. +*/ +#define ARM_MPU_ATTR_MEMORY_(NT, WB, RA, WA) \ + ((((NT) & 1U) << 3U) | (((WB) & 1U) << 2U) | (((RA) & 1U) << 1U) | ((WA) & 1U)) + +/** \brief Device memory type non Gathering, non Re-ordering, non Early Write Acknowledgement */ +#define ARM_MPU_ATTR_DEVICE_nGnRnE (0U) + +/** \brief Device memory type non Gathering, non Re-ordering, Early Write Acknowledgement */ +#define ARM_MPU_ATTR_DEVICE_nGnRE (1U) + +/** \brief Device memory type non Gathering, Re-ordering, Early Write Acknowledgement */ +#define ARM_MPU_ATTR_DEVICE_nGRE (2U) + +/** \brief Device memory type Gathering, Re-ordering, Early Write Acknowledgement */ +#define ARM_MPU_ATTR_DEVICE_GRE (3U) + +/** \brief Memory Attribute +* \param O Outer memory attributes +* \param I O == ARM_MPU_ATTR_DEVICE: Device memory attributes, else: Inner memory attributes +*/ +#define ARM_MPU_ATTR(O, I) ((((O) & 0xFU) << 4U) | ((((O) & 0xFU) != 0U) ? ((I) & 0xFU) : (((I) & 0x3U) << 2U))) + +/** \brief Normal memory non-shareable */ +#define ARM_MPU_SH_NON (0U) + +/** \brief Normal memory outer shareable */ +#define ARM_MPU_SH_OUTER (2U) + +/** \brief Normal memory inner shareable */ +#define ARM_MPU_SH_INNER (3U) + +/** \brief Memory access permissions +* \param RO Read-Only: Set to 1 for read-only memory. +* \param NP Non-Privileged: Set to 1 for non-privileged memory. +*/ +#define ARM_MPU_AP_(RO, NP) ((((RO) & 1U) << 1U) | ((NP) & 1U)) + +/** \brief Region Base Address Register value +* \param BASE The base address bits [31:5] of a memory region. The value is zero extended. Effective address gets 32 byte aligned. +* \param SH Defines the Shareability domain for this memory region. +* \param RO Read-Only: Set to 1 for a read-only memory region. +* \param NP Non-Privileged: Set to 1 for a non-privileged memory region. +* \oaram XN eXecute Never: Set to 1 for a non-executable memory region. +*/ +#define ARM_MPU_RBAR(BASE, SH, RO, NP, XN) \ + (((BASE) & MPU_RBAR_BASE_Msk) | \ + (((SH) << MPU_RBAR_SH_Pos) & MPU_RBAR_SH_Msk) | \ + ((ARM_MPU_AP_(RO, NP) << MPU_RBAR_AP_Pos) & MPU_RBAR_AP_Msk) | \ + (((XN) << MPU_RBAR_XN_Pos) & MPU_RBAR_XN_Msk)) + +/** \brief Region Limit Address Register value +* \param LIMIT The limit address bits [31:5] for this memory region. The value is one extended. +* \param IDX The attribute index to be associated with this memory region. +*/ +#define ARM_MPU_RLAR(LIMIT, IDX) \ + (((LIMIT) & MPU_RLAR_LIMIT_Msk) | \ + (((IDX) << MPU_RLAR_AttrIndx_Pos) & MPU_RLAR_AttrIndx_Msk) | \ + (MPU_RLAR_EN_Msk)) + +#if defined(MPU_RLAR_PXN_Pos) + +/** \brief Region Limit Address Register with PXN value +* \param LIMIT The limit address bits [31:5] for this memory region. The value is one extended. +* \param PXN Privileged execute never. Defines whether code can be executed from this privileged region. +* \param IDX The attribute index to be associated with this memory region. +*/ +#define ARM_MPU_RLAR_PXN(LIMIT, PXN, IDX) \ + (((LIMIT) & MPU_RLAR_LIMIT_Msk) | \ + (((PXN) << MPU_RLAR_PXN_Pos) & MPU_RLAR_PXN_Msk) | \ + (((IDX) << MPU_RLAR_AttrIndx_Pos) & MPU_RLAR_AttrIndx_Msk) | \ + (MPU_RLAR_EN_Msk)) + +#endif + +/** +* Struct for a single MPU Region +*/ +typedef struct { + uint32_t RBAR; /*!< Region Base Address Register value */ + uint32_t RLAR; /*!< Region Limit Address Register value */ +} ARM_MPU_Region_t; + +/** Enable the MPU. +* \param MPU_Control Default access permissions for unconfigured regions. +*/ +__STATIC_INLINE void ARM_MPU_Enable(uint32_t MPU_Control) +{ + __DMB(); + MPU->CTRL = MPU_Control | MPU_CTRL_ENABLE_Msk; +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB->SHCSR |= SCB_SHCSR_MEMFAULTENA_Msk; +#endif + __DSB(); + __ISB(); +} + +/** Disable the MPU. +*/ +__STATIC_INLINE void ARM_MPU_Disable(void) +{ + __DMB(); +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB->SHCSR &= ~SCB_SHCSR_MEMFAULTENA_Msk; +#endif + MPU->CTRL &= ~MPU_CTRL_ENABLE_Msk; + __DSB(); + __ISB(); +} + +#ifdef MPU_NS +/** Enable the Non-secure MPU. +* \param MPU_Control Default access permissions for unconfigured regions. +*/ +__STATIC_INLINE void ARM_MPU_Enable_NS(uint32_t MPU_Control) +{ + __DMB(); + MPU_NS->CTRL = MPU_Control | MPU_CTRL_ENABLE_Msk; +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB_NS->SHCSR |= SCB_SHCSR_MEMFAULTENA_Msk; +#endif + __DSB(); + __ISB(); +} + +/** Disable the Non-secure MPU. +*/ +__STATIC_INLINE void ARM_MPU_Disable_NS(void) +{ + __DMB(); +#ifdef SCB_SHCSR_MEMFAULTENA_Msk + SCB_NS->SHCSR &= ~SCB_SHCSR_MEMFAULTENA_Msk; +#endif + MPU_NS->CTRL &= ~MPU_CTRL_ENABLE_Msk; + __DSB(); + __ISB(); +} +#endif + +/** Set the memory attribute encoding to the given MPU. +* \param mpu Pointer to the MPU to be configured. +* \param idx The attribute index to be set [0-7] +* \param attr The attribute value to be set. +*/ +__STATIC_INLINE void ARM_MPU_SetMemAttrEx(MPU_Type* mpu, uint8_t idx, uint8_t attr) +{ + const uint8_t reg = idx / 4U; + const uint32_t pos = ((idx % 4U) * 8U); + const uint32_t mask = 0xFFU << pos; + + if (reg >= (sizeof(mpu->MAIR) / sizeof(mpu->MAIR[0]))) { + return; // invalid index + } + + mpu->MAIR[reg] = ((mpu->MAIR[reg] & ~mask) | ((attr << pos) & mask)); +} + +/** Set the memory attribute encoding. +* \param idx The attribute index to be set [0-7] +* \param attr The attribute value to be set. +*/ +__STATIC_INLINE void ARM_MPU_SetMemAttr(uint8_t idx, uint8_t attr) +{ + ARM_MPU_SetMemAttrEx(MPU, idx, attr); +} + +#ifdef MPU_NS +/** Set the memory attribute encoding to the Non-secure MPU. +* \param idx The attribute index to be set [0-7] +* \param attr The attribute value to be set. +*/ +__STATIC_INLINE void ARM_MPU_SetMemAttr_NS(uint8_t idx, uint8_t attr) +{ + ARM_MPU_SetMemAttrEx(MPU_NS, idx, attr); +} +#endif + +/** Clear and disable the given MPU region of the given MPU. +* \param mpu Pointer to MPU to be used. +* \param rnr Region number to be cleared. +*/ +__STATIC_INLINE void ARM_MPU_ClrRegionEx(MPU_Type* mpu, uint32_t rnr) +{ + mpu->RNR = rnr; + mpu->RLAR = 0U; +} + +/** Clear and disable the given MPU region. +* \param rnr Region number to be cleared. +*/ +__STATIC_INLINE void ARM_MPU_ClrRegion(uint32_t rnr) +{ + ARM_MPU_ClrRegionEx(MPU, rnr); +} + +#ifdef MPU_NS +/** Clear and disable the given Non-secure MPU region. +* \param rnr Region number to be cleared. +*/ +__STATIC_INLINE void ARM_MPU_ClrRegion_NS(uint32_t rnr) +{ + ARM_MPU_ClrRegionEx(MPU_NS, rnr); +} +#endif + +/** Configure the given MPU region of the given MPU. +* \param mpu Pointer to MPU to be used. +* \param rnr Region number to be configured. +* \param rbar Value for RBAR register. +* \param rlar Value for RLAR register. +*/ +__STATIC_INLINE void ARM_MPU_SetRegionEx(MPU_Type* mpu, uint32_t rnr, uint32_t rbar, uint32_t rlar) +{ + mpu->RNR = rnr; + mpu->RBAR = rbar; + mpu->RLAR = rlar; +} + +/** Configure the given MPU region. +* \param rnr Region number to be configured. +* \param rbar Value for RBAR register. +* \param rlar Value for RLAR register. +*/ +__STATIC_INLINE void ARM_MPU_SetRegion(uint32_t rnr, uint32_t rbar, uint32_t rlar) +{ + ARM_MPU_SetRegionEx(MPU, rnr, rbar, rlar); +} + +#ifdef MPU_NS +/** Configure the given Non-secure MPU region. +* \param rnr Region number to be configured. +* \param rbar Value for RBAR register. +* \param rlar Value for RLAR register. +*/ +__STATIC_INLINE void ARM_MPU_SetRegion_NS(uint32_t rnr, uint32_t rbar, uint32_t rlar) +{ + ARM_MPU_SetRegionEx(MPU_NS, rnr, rbar, rlar); +} +#endif + +/** Memcopy with strictly ordered memory access, e.g. for register targets. +* \param dst Destination data is copied to. +* \param src Source data is copied from. +* \param len Amount of data words to be copied. +*/ +__STATIC_INLINE void ARM_MPU_OrderedMemcpy(volatile uint32_t* dst, const uint32_t* __RESTRICT src, uint32_t len) +{ + uint32_t i; + for (i = 0U; i < len; ++i) + { + dst[i] = src[i]; + } +} + +/** Load the given number of MPU regions from a table to the given MPU. +* \param mpu Pointer to the MPU registers to be used. +* \param rnr First region number to be configured. +* \param table Pointer to the MPU configuration table. +* \param cnt Amount of regions to be configured. +*/ +__STATIC_INLINE void ARM_MPU_LoadEx(MPU_Type* mpu, uint32_t rnr, ARM_MPU_Region_t const* table, uint32_t cnt) +{ + const uint32_t rowWordSize = sizeof(ARM_MPU_Region_t)/4U; + if (cnt == 1U) { + mpu->RNR = rnr; + ARM_MPU_OrderedMemcpy(&(mpu->RBAR), &(table->RBAR), rowWordSize); + } else { + uint32_t rnrBase = rnr & ~(MPU_TYPE_RALIASES-1U); + uint32_t rnrOffset = rnr % MPU_TYPE_RALIASES; + + mpu->RNR = rnrBase; + while ((rnrOffset + cnt) > MPU_TYPE_RALIASES) { + uint32_t c = MPU_TYPE_RALIASES - rnrOffset; + ARM_MPU_OrderedMemcpy(&(mpu->RBAR)+(rnrOffset*2U), &(table->RBAR), c*rowWordSize); + table += c; + cnt -= c; + rnrOffset = 0U; + rnrBase += MPU_TYPE_RALIASES; + mpu->RNR = rnrBase; + } + + ARM_MPU_OrderedMemcpy(&(mpu->RBAR)+(rnrOffset*2U), &(table->RBAR), cnt*rowWordSize); + } +} + +/** Load the given number of MPU regions from a table. +* \param rnr First region number to be configured. +* \param table Pointer to the MPU configuration table. +* \param cnt Amount of regions to be configured. +*/ +__STATIC_INLINE void ARM_MPU_Load(uint32_t rnr, ARM_MPU_Region_t const* table, uint32_t cnt) +{ + ARM_MPU_LoadEx(MPU, rnr, table, cnt); +} + +#ifdef MPU_NS +/** Load the given number of MPU regions from a table to the Non-secure MPU. +* \param rnr First region number to be configured. +* \param table Pointer to the MPU configuration table. +* \param cnt Amount of regions to be configured. +*/ +__STATIC_INLINE void ARM_MPU_Load_NS(uint32_t rnr, ARM_MPU_Region_t const* table, uint32_t cnt) +{ + ARM_MPU_LoadEx(MPU_NS, rnr, table, cnt); +} +#endif + +#endif + diff --git a/Firmware/cmsis/cm4/core_support/pmu_armv8.h b/Firmware/cmsis/cm4/core_support/pmu_armv8.h new file mode 100644 index 0000000..23b37d9 --- /dev/null +++ b/Firmware/cmsis/cm4/core_support/pmu_armv8.h @@ -0,0 +1,337 @@ +/****************************************************************************** + * @file pmu_armv8.h + * @brief CMSIS PMU API for Armv8.1-M PMU + * @version V1.0.0 + * @date 24. March 2020 + ******************************************************************************/ +/* + * Copyright (c) 2020 Arm Limited. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#if defined ( __ICCARM__ ) + #pragma system_include /* treat file as system include file for MISRA check */ +#elif defined (__clang__) + #pragma clang system_header /* treat file as system include file */ +#endif + +#ifndef ARM_PMU_ARMV8_H +#define ARM_PMU_ARMV8_H + +/** + * \brief PMU Events + * \note See the Armv8.1-M Architecture Reference Manual for full details on these PMU events. + * */ + +#define ARM_PMU_SW_INCR 0x0000 /*!< Software update to the PMU_SWINC register, architecturally executed and condition code check pass */ +#define ARM_PMU_L1I_CACHE_REFILL 0x0001 /*!< L1 I-Cache refill */ +#define ARM_PMU_L1D_CACHE_REFILL 0x0003 /*!< L1 D-Cache refill */ +#define ARM_PMU_L1D_CACHE 0x0004 /*!< L1 D-Cache access */ +#define ARM_PMU_LD_RETIRED 0x0006 /*!< Memory-reading instruction architecturally executed and condition code check pass */ +#define ARM_PMU_ST_RETIRED 0x0007 /*!< Memory-writing instruction architecturally executed and condition code check pass */ +#define ARM_PMU_INST_RETIRED 0x0008 /*!< Instruction architecturally executed */ +#define ARM_PMU_EXC_TAKEN 0x0009 /*!< Exception entry */ +#define ARM_PMU_EXC_RETURN 0x000A /*!< Exception return instruction architecturally executed and the condition code check pass */ +#define ARM_PMU_PC_WRITE_RETIRED 0x000C /*!< Software change to the Program Counter (PC). Instruction is architecturally executed and condition code check pass */ +#define ARM_PMU_BR_IMMED_RETIRED 0x000D /*!< Immediate branch architecturally executed */ +#define ARM_PMU_BR_RETURN_RETIRED 0x000E /*!< Function return instruction architecturally executed and the condition code check pass */ +#define ARM_PMU_UNALIGNED_LDST_RETIRED 0x000F /*!< Unaligned memory memory-reading or memory-writing instruction architecturally executed and condition code check pass */ +#define ARM_PMU_BR_MIS_PRED 0x0010 /*!< Mispredicted or not predicted branch speculatively executed */ +#define ARM_PMU_CPU_CYCLES 0x0011 /*!< Cycle */ +#define ARM_PMU_BR_PRED 0x0012 /*!< Predictable branch speculatively executed */ +#define ARM_PMU_MEM_ACCESS 0x0013 /*!< Data memory access */ +#define ARM_PMU_L1I_CACHE 0x0014 /*!< Level 1 instruction cache access */ +#define ARM_PMU_L1D_CACHE_WB 0x0015 /*!< Level 1 data cache write-back */ +#define ARM_PMU_L2D_CACHE 0x0016 /*!< Level 2 data cache access */ +#define ARM_PMU_L2D_CACHE_REFILL 0x0017 /*!< Level 2 data cache refill */ +#define ARM_PMU_L2D_CACHE_WB 0x0018 /*!< Level 2 data cache write-back */ +#define ARM_PMU_BUS_ACCESS 0x0019 /*!< Bus access */ +#define ARM_PMU_MEMORY_ERROR 0x001A /*!< Local memory error */ +#define ARM_PMU_INST_SPEC 0x001B /*!< Instruction speculatively executed */ +#define ARM_PMU_BUS_CYCLES 0x001D /*!< Bus cycles */ +#define ARM_PMU_CHAIN 0x001E /*!< For an odd numbered counter, increment when an overflow occurs on the preceding even-numbered counter on the same PE */ +#define ARM_PMU_L1D_CACHE_ALLOCATE 0x001F /*!< Level 1 data cache allocation without refill */ +#define ARM_PMU_L2D_CACHE_ALLOCATE 0x0020 /*!< Level 2 data cache allocation without refill */ +#define ARM_PMU_BR_RETIRED 0x0021 /*!< Branch instruction architecturally executed */ +#define ARM_PMU_BR_MIS_PRED_RETIRED 0x0022 /*!< Mispredicted branch instruction architecturally executed */ +#define ARM_PMU_STALL_FRONTEND 0x0023 /*!< No operation issued because of the frontend */ +#define ARM_PMU_STALL_BACKEND 0x0024 /*!< No operation issued because of the backend */ +#define ARM_PMU_L2I_CACHE 0x0027 /*!< Level 2 instruction cache access */ +#define ARM_PMU_L2I_CACHE_REFILL 0x0028 /*!< Level 2 instruction cache refill */ +#define ARM_PMU_L3D_CACHE_ALLOCATE 0x0029 /*!< Level 3 data cache allocation without refill */ +#define ARM_PMU_L3D_CACHE_REFILL 0x002A /*!< Level 3 data cache refill */ +#define ARM_PMU_L3D_CACHE 0x002B /*!< Level 3 data cache access */ +#define ARM_PMU_L3D_CACHE_WB 0x002C /*!< Level 3 data cache write-back */ +#define ARM_PMU_LL_CACHE_RD 0x0036 /*!< Last level data cache read */ +#define ARM_PMU_LL_CACHE_MISS_RD 0x0037 /*!< Last level data cache read miss */ +#define ARM_PMU_L1D_CACHE_MISS_RD 0x0039 /*!< Level 1 data cache read miss */ +#define ARM_PMU_OP_COMPLETE 0x003A /*!< Operation retired */ +#define ARM_PMU_OP_SPEC 0x003B /*!< Operation speculatively executed */ +#define ARM_PMU_STALL 0x003C /*!< Stall cycle for instruction or operation not sent for execution */ +#define ARM_PMU_STALL_OP_BACKEND 0x003D /*!< Stall cycle for instruction or operation not sent for execution due to pipeline backend */ +#define ARM_PMU_STALL_OP_FRONTEND 0x003E /*!< Stall cycle for instruction or operation not sent for execution due to pipeline frontend */ +#define ARM_PMU_STALL_OP 0x003F /*!< Instruction or operation slots not occupied each cycle */ +#define ARM_PMU_L1D_CACHE_RD 0x0040 /*!< Level 1 data cache read */ +#define ARM_PMU_LE_RETIRED 0x0100 /*!< Loop end instruction executed */ +#define ARM_PMU_LE_SPEC 0x0101 /*!< Loop end instruction speculatively executed */ +#define ARM_PMU_BF_RETIRED 0x0104 /*!< Branch future instruction architecturally executed and condition code check pass */ +#define ARM_PMU_BF_SPEC 0x0105 /*!< Branch future instruction speculatively executed and condition code check pass */ +#define ARM_PMU_LE_CANCEL 0x0108 /*!< Loop end instruction not taken */ +#define ARM_PMU_BF_CANCEL 0x0109 /*!< Branch future instruction not taken */ +#define ARM_PMU_SE_CALL_S 0x0114 /*!< Call to secure function, resulting in Security state change */ +#define ARM_PMU_SE_CALL_NS 0x0115 /*!< Call to non-secure function, resulting in Security state change */ +#define ARM_PMU_DWT_CMPMATCH0 0x0118 /*!< DWT comparator 0 match */ +#define ARM_PMU_DWT_CMPMATCH1 0x0119 /*!< DWT comparator 1 match */ +#define ARM_PMU_DWT_CMPMATCH2 0x011A /*!< DWT comparator 2 match */ +#define ARM_PMU_DWT_CMPMATCH3 0x011B /*!< DWT comparator 3 match */ +#define ARM_PMU_MVE_INST_RETIRED 0x0200 /*!< MVE instruction architecturally executed */ +#define ARM_PMU_MVE_INST_SPEC 0x0201 /*!< MVE instruction speculatively executed */ +#define ARM_PMU_MVE_FP_RETIRED 0x0204 /*!< MVE floating-point instruction architecturally executed */ +#define ARM_PMU_MVE_FP_SPEC 0x0205 /*!< MVE floating-point instruction speculatively executed */ +#define ARM_PMU_MVE_FP_HP_RETIRED 0x0208 /*!< MVE half-precision floating-point instruction architecturally executed */ +#define ARM_PMU_MVE_FP_HP_SPEC 0x0209 /*!< MVE half-precision floating-point instruction speculatively executed */ +#define ARM_PMU_MVE_FP_SP_RETIRED 0x020C /*!< MVE single-precision floating-point instruction architecturally executed */ +#define ARM_PMU_MVE_FP_SP_SPEC 0x020D /*!< MVE single-precision floating-point instruction speculatively executed */ +#define ARM_PMU_MVE_FP_MAC_RETIRED 0x0214 /*!< MVE floating-point multiply or multiply-accumulate instruction architecturally executed */ +#define ARM_PMU_MVE_FP_MAC_SPEC 0x0215 /*!< MVE floating-point multiply or multiply-accumulate instruction speculatively executed */ +#define ARM_PMU_MVE_INT_RETIRED 0x0224 /*!< MVE integer instruction architecturally executed */ +#define ARM_PMU_MVE_INT_SPEC 0x0225 /*!< MVE integer instruction speculatively executed */ +#define ARM_PMU_MVE_INT_MAC_RETIRED 0x0228 /*!< MVE multiply or multiply-accumulate instruction architecturally executed */ +#define ARM_PMU_MVE_INT_MAC_SPEC 0x0229 /*!< MVE multiply or multiply-accumulate instruction speculatively executed */ +#define ARM_PMU_MVE_LDST_RETIRED 0x0238 /*!< MVE load or store instruction architecturally executed */ +#define ARM_PMU_MVE_LDST_SPEC 0x0239 /*!< MVE load or store instruction speculatively executed */ +#define ARM_PMU_MVE_LD_RETIRED 0x023C /*!< MVE load instruction architecturally executed */ +#define ARM_PMU_MVE_LD_SPEC 0x023D /*!< MVE load instruction speculatively executed */ +#define ARM_PMU_MVE_ST_RETIRED 0x0240 /*!< MVE store instruction architecturally executed */ +#define ARM_PMU_MVE_ST_SPEC 0x0241 /*!< MVE store instruction speculatively executed */ +#define ARM_PMU_MVE_LDST_CONTIG_RETIRED 0x0244 /*!< MVE contiguous load or store instruction architecturally executed */ +#define ARM_PMU_MVE_LDST_CONTIG_SPEC 0x0245 /*!< MVE contiguous load or store instruction speculatively executed */ +#define ARM_PMU_MVE_LD_CONTIG_RETIRED 0x0248 /*!< MVE contiguous load instruction architecturally executed */ +#define ARM_PMU_MVE_LD_CONTIG_SPEC 0x0249 /*!< MVE contiguous load instruction speculatively executed */ +#define ARM_PMU_MVE_ST_CONTIG_RETIRED 0x024C /*!< MVE contiguous store instruction architecturally executed */ +#define ARM_PMU_MVE_ST_CONTIG_SPEC 0x024D /*!< MVE contiguous store instruction speculatively executed */ +#define ARM_PMU_MVE_LDST_NONCONTIG_RETIRED 0x0250 /*!< MVE non-contiguous load or store instruction architecturally executed */ +#define ARM_PMU_MVE_LDST_NONCONTIG_SPEC 0x0251 /*!< MVE non-contiguous load or store instruction speculatively executed */ +#define ARM_PMU_MVE_LD_NONCONTIG_RETIRED 0x0254 /*!< MVE non-contiguous load instruction architecturally executed */ +#define ARM_PMU_MVE_LD_NONCONTIG_SPEC 0x0255 /*!< MVE non-contiguous load instruction speculatively executed */ +#define ARM_PMU_MVE_ST_NONCONTIG_RETIRED 0x0258 /*!< MVE non-contiguous store instruction architecturally executed */ +#define ARM_PMU_MVE_ST_NONCONTIG_SPEC 0x0259 /*!< MVE non-contiguous store instruction speculatively executed */ +#define ARM_PMU_MVE_LDST_MULTI_RETIRED 0x025C /*!< MVE memory instruction targeting multiple registers architecturally executed */ +#define ARM_PMU_MVE_LDST_MULTI_SPEC 0x025D /*!< MVE memory instruction targeting multiple registers speculatively executed */ +#define ARM_PMU_MVE_LD_MULTI_RETIRED 0x0260 /*!< MVE memory load instruction targeting multiple registers architecturally executed */ +#define ARM_PMU_MVE_LD_MULTI_SPEC 0x0261 /*!< MVE memory load instruction targeting multiple registers speculatively executed */ +#define ARM_PMU_MVE_ST_MULTI_RETIRED 0x0261 /*!< MVE memory store instruction targeting multiple registers architecturally executed */ +#define ARM_PMU_MVE_ST_MULTI_SPEC 0x0265 /*!< MVE memory store instruction targeting multiple registers speculatively executed */ +#define ARM_PMU_MVE_LDST_UNALIGNED_RETIRED 0x028C /*!< MVE unaligned memory load or store instruction architecturally executed */ +#define ARM_PMU_MVE_LDST_UNALIGNED_SPEC 0x028D /*!< MVE unaligned memory load or store instruction speculatively executed */ +#define ARM_PMU_MVE_LD_UNALIGNED_RETIRED 0x0290 /*!< MVE unaligned load instruction architecturally executed */ +#define ARM_PMU_MVE_LD_UNALIGNED_SPEC 0x0291 /*!< MVE unaligned load instruction speculatively executed */ +#define ARM_PMU_MVE_ST_UNALIGNED_RETIRED 0x0294 /*!< MVE unaligned store instruction architecturally executed */ +#define ARM_PMU_MVE_ST_UNALIGNED_SPEC 0x0295 /*!< MVE unaligned store instruction speculatively executed */ +#define ARM_PMU_MVE_LDST_UNALIGNED_NONCONTIG_RETIRED 0x0298 /*!< MVE unaligned noncontiguous load or store instruction architecturally executed */ +#define ARM_PMU_MVE_LDST_UNALIGNED_NONCONTIG_SPEC 0x0299 /*!< MVE unaligned noncontiguous load or store instruction speculatively executed */ +#define ARM_PMU_MVE_VREDUCE_RETIRED 0x02A0 /*!< MVE vector reduction instruction architecturally executed */ +#define ARM_PMU_MVE_VREDUCE_SPEC 0x02A1 /*!< MVE vector reduction instruction speculatively executed */ +#define ARM_PMU_MVE_VREDUCE_FP_RETIRED 0x02A4 /*!< MVE floating-point vector reduction instruction architecturally executed */ +#define ARM_PMU_MVE_VREDUCE_FP_SPEC 0x02A5 /*!< MVE floating-point vector reduction instruction speculatively executed */ +#define ARM_PMU_MVE_VREDUCE_INT_RETIRED 0x02A8 /*!< MVE integer vector reduction instruction architecturally executed */ +#define ARM_PMU_MVE_VREDUCE_INT_SPEC 0x02A9 /*!< MVE integer vector reduction instruction speculatively executed */ +#define ARM_PMU_MVE_PRED 0x02B8 /*!< Cycles where one or more predicated beats architecturally executed */ +#define ARM_PMU_MVE_STALL 0x02CC /*!< Stall cycles caused by an MVE instruction */ +#define ARM_PMU_MVE_STALL_RESOURCE 0x02CD /*!< Stall cycles caused by an MVE instruction because of resource conflicts */ +#define ARM_PMU_MVE_STALL_RESOURCE_MEM 0x02CE /*!< Stall cycles caused by an MVE instruction because of memory resource conflicts */ +#define ARM_PMU_MVE_STALL_RESOURCE_FP 0x02CF /*!< Stall cycles caused by an MVE instruction because of floating-point resource conflicts */ +#define ARM_PMU_MVE_STALL_RESOURCE_INT 0x02D0 /*!< Stall cycles caused by an MVE instruction because of integer resource conflicts */ +#define ARM_PMU_MVE_STALL_BREAK 0x02D3 /*!< Stall cycles caused by an MVE chain break */ +#define ARM_PMU_MVE_STALL_DEPENDENCY 0x02D4 /*!< Stall cycles caused by MVE register dependency */ +#define ARM_PMU_ITCM_ACCESS 0x4007 /*!< Instruction TCM access */ +#define ARM_PMU_DTCM_ACCESS 0x4008 /*!< Data TCM access */ +#define ARM_PMU_TRCEXTOUT0 0x4010 /*!< ETM external output 0 */ +#define ARM_PMU_TRCEXTOUT1 0x4011 /*!< ETM external output 1 */ +#define ARM_PMU_TRCEXTOUT2 0x4012 /*!< ETM external output 2 */ +#define ARM_PMU_TRCEXTOUT3 0x4013 /*!< ETM external output 3 */ +#define ARM_PMU_CTI_TRIGOUT4 0x4018 /*!< Cross-trigger Interface output trigger 4 */ +#define ARM_PMU_CTI_TRIGOUT5 0x4019 /*!< Cross-trigger Interface output trigger 5 */ +#define ARM_PMU_CTI_TRIGOUT6 0x401A /*!< Cross-trigger Interface output trigger 6 */ +#define ARM_PMU_CTI_TRIGOUT7 0x401B /*!< Cross-trigger Interface output trigger 7 */ + +/** \brief PMU Functions */ + +__STATIC_INLINE void ARM_PMU_Enable(void); +__STATIC_INLINE void ARM_PMU_Disable(void); + +__STATIC_INLINE void ARM_PMU_Set_EVTYPER(uint32_t num, uint32_t type); + +__STATIC_INLINE void ARM_PMU_CYCCNT_Reset(void); +__STATIC_INLINE void ARM_PMU_EVCNTR_ALL_Reset(void); + +__STATIC_INLINE void ARM_PMU_CNTR_Enable(uint32_t mask); +__STATIC_INLINE void ARM_PMU_CNTR_Disable(uint32_t mask); + +__STATIC_INLINE uint32_t ARM_PMU_Get_CCNTR(void); +__STATIC_INLINE uint32_t ARM_PMU_Get_EVCNTR(uint32_t num); + +__STATIC_INLINE uint32_t ARM_PMU_Get_CNTR_OVS(void); +__STATIC_INLINE void ARM_PMU_Set_CNTR_OVS(uint32_t mask); + +__STATIC_INLINE void ARM_PMU_Set_CNTR_IRQ_Enable(uint32_t mask); +__STATIC_INLINE void ARM_PMU_Set_CNTR_IRQ_Disable(uint32_t mask); + +__STATIC_INLINE void ARM_PMU_CNTR_Increment(uint32_t mask); + +/** + \brief Enable the PMU +*/ +__STATIC_INLINE void ARM_PMU_Enable(void) +{ + PMU->CTRL |= PMU_CTRL_ENABLE_Msk; +} + +/** + \brief Disable the PMU +*/ +__STATIC_INLINE void ARM_PMU_Disable(void) +{ + PMU->CTRL &= ~PMU_CTRL_ENABLE_Msk; +} + +/** + \brief Set event to count for PMU eventer counter + \param [in] num Event counter (0-30) to configure + \param [in] type Event to count +*/ +__STATIC_INLINE void ARM_PMU_Set_EVTYPER(uint32_t num, uint32_t type) +{ + PMU->EVTYPER[num] = type; +} + +/** + \brief Reset cycle counter +*/ +__STATIC_INLINE void ARM_PMU_CYCCNT_Reset(void) +{ + PMU->CTRL |= PMU_CTRL_CYCCNT_RESET_Msk; +} + +/** + \brief Reset all event counters +*/ +__STATIC_INLINE void ARM_PMU_EVCNTR_ALL_Reset(void) +{ + PMU->CTRL |= PMU_CTRL_EVENTCNT_RESET_Msk; +} + +/** + \brief Enable counters + \param [in] mask Counters to enable + \note Enables one or more of the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE void ARM_PMU_CNTR_Enable(uint32_t mask) +{ + PMU->CNTENSET = mask; +} + +/** + \brief Disable counters + \param [in] mask Counters to enable + \note Disables one or more of the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE void ARM_PMU_CNTR_Disable(uint32_t mask) +{ + PMU->CNTENCLR = mask; +} + +/** + \brief Read cycle counter + \return Cycle count +*/ +__STATIC_INLINE uint32_t ARM_PMU_Get_CCNTR(void) +{ + return PMU->CCNTR; +} + +/** + \brief Read event counter + \param [in] num Event counter (0-30) to read + \return Event count +*/ +__STATIC_INLINE uint32_t ARM_PMU_Get_EVCNTR(uint32_t num) +{ + return PMU->EVCNTR[num]; +} + +/** + \brief Read counter overflow status + \return Counter overflow status bits for the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE uint32_t ARM_PMU_Get_CNTR_OVS(void) +{ + return PMU->OVSSET; +} + +/** + \brief Clear counter overflow status + \param [in] mask Counter overflow status bits to clear + \note Clears overflow status bits for one or more of the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE void ARM_PMU_Set_CNTR_OVS(uint32_t mask) +{ + PMU->OVSCLR = mask; +} + +/** + \brief Enable counter overflow interrupt request + \param [in] mask Counter overflow interrupt request bits to set + \note Sets overflow interrupt request bits for one or more of the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE void ARM_PMU_Set_CNTR_IRQ_Enable(uint32_t mask) +{ + PMU->INTENSET = mask; +} + +/** + \brief Disable counter overflow interrupt request + \param [in] mask Counter overflow interrupt request bits to clear + \note Clears overflow interrupt request bits for one or more of the following: + - event counters (0-30) + - cycle counter +*/ +__STATIC_INLINE void ARM_PMU_Set_CNTR_IRQ_Disable(uint32_t mask) +{ + PMU->INTENCLR = mask; +} + +/** + \brief Software increment event counter + \param [in] mask Counters to increment + \note Software increment bits for one or more event counters (0-30) +*/ +__STATIC_INLINE void ARM_PMU_CNTR_Increment(uint32_t mask) +{ + PMU->SWINC = mask; +} + +#endif diff --git a/Firmware/cmsis/cm4/device_support/at32a423.h b/Firmware/cmsis/cm4/device_support/at32a423.h new file mode 100644 index 0000000..18717b5 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/at32a423.h @@ -0,0 +1,495 @@ +/** + ************************************************************************** + * @file at32a423.h + * @brief at32a423 header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#ifndef __AT32A423_H +#define __AT32A423_H + +#ifdef __cplusplus +extern "C" { +#endif + +#if defined (__CC_ARM) + #pragma anon_unions +#endif + + +/** @addtogroup CMSIS + * @{ + */ + +/** @addtogroup AT32A423 + * @{ + */ + +/** @addtogroup Library_configuration_section + * @{ + */ + +/** + * tip: to avoid modifying this file each time you need to switch between these + * devices, you can define the device in your toolchain compiler preprocessor. + */ + +#if !defined (AT32A423K8U7_4) && !defined (AT32A423KBU7_4) && !defined (AT32A423KCU7_4) && \ + !defined (AT32A423T8U7) && !defined (AT32A423TBU7) && !defined (AT32A423TCU7) && \ + !defined (AT32A423C8U7) && !defined (AT32A423CBU7) && !defined (AT32A423CCU7) && \ + !defined (AT32A423C8T7) && !defined (AT32A423CBT7) && !defined (AT32A423CCT7) && \ + !defined (AT32A423R8T7_7) && !defined (AT32A423RBT7_7) && !defined (AT32A423RCT7_7) && \ + !defined (AT32A423R8T7) && !defined (AT32A423RBT7) && !defined (AT32A423RCT7) && \ + !defined (AT32A423V8T7) && !defined (AT32A423VBT7) && !defined (AT32A423VCT7) && \ + !defined (AT32A423CBU7_7) + + #error "Please select first the target device used in your application (in at32a423.h file)" +#endif + +#if defined (AT32A423K8U7_4) || defined (AT32A423KBU7_4) || defined (AT32A423KCU7_4) || \ + defined (AT32A423T8U7) || defined (AT32A423TBU7) || defined (AT32A423TCU7) || \ + defined (AT32A423C8U7) || defined (AT32A423CBU7) || defined (AT32A423CCU7) || \ + defined (AT32A423C8T7) || defined (AT32A423CBT7) || defined (AT32A423CCT7) || \ + defined (AT32A423R8T7_7) || defined (AT32A423RBT7_7) || defined (AT32A423RCT7_7) || \ + defined (AT32A423R8T7) || defined (AT32A423RBT7) || defined (AT32A423RCT7) || \ + defined (AT32A423V8T7) || defined (AT32A423VBT7) || defined (AT32A423VCT7) || \ + defined (AT32A423CBU7_7) + + #define AT32A423xx +#endif + +/** + * define with package + */ +#if defined (AT32A423K8U7_4) || defined (AT32A423KBU7_4) || defined (AT32A423KCU7_4) + + #define AT32A423Kx +#endif + +#if defined (AT32A423T8U7) || defined (AT32A423TBU7) || defined (AT32A423TCU7) + + #define AT32A423Tx +#endif + +#if defined (AT32A423C8U7) || defined (AT32A423CBU7) || defined (AT32A423CCU7) || \ + defined (AT32A423C8T7) || defined (AT32A423CBT7) || defined (AT32A423CCT7) || \ + defined (AT32A423CBU7_7) + + #define AT32A423Cx +#endif + +#if defined (AT32A423R8T7_7) || defined (AT32A423RBT7_7) || defined (AT32A423RCT7_7) || \ + defined (AT32A423R8T7) || defined (AT32A423RBT7) || defined (AT32A423RCT7) + + #define AT32A423Rx +#endif + +#if defined (AT32A423V8T7) || defined (AT32A423VBT7) || defined (AT32A423VCT7) + + #define AT32A423Vx +#endif + +/** + * define with memory density + */ +#if defined (AT32A423K8U7_4) || defined (AT32A423T8U7) || defined (AT32A423C8U7) || \ + defined (AT32A423C8T7) || defined (AT32A423R8T7_7) || defined (AT32A423R8T7) || \ + defined (AT32A423V8T7) + + #define AT32A423x8 +#endif + +#if defined (AT32A423KBU7_4) || defined (AT32A423TBU7) || defined (AT32A423CBU7) || \ + defined (AT32A423CBT7) || defined (AT32A423RBT7_7) || defined (AT32A423RBT7) || \ + defined (AT32A423VBT7) || defined (AT32A423CBU7_7) + + #define AT32A423xB +#endif + +#if defined (AT32A423KCU7_4) || defined (AT32A423TCU7) || defined (AT32A423CCU7) || \ + defined (AT32A423CCT7) || defined (AT32A423RCT7_7) || defined (AT32A423RCT7) || \ + defined (AT32A423VCT7) + + #define AT32A423xC +#endif + +#ifndef USE_STDPERIPH_DRIVER +/** + * @brief comment the line below if you will not use the peripherals drivers. + * in this case, these drivers will not be included and the application code will + * be based on direct access to peripherals registers + */ + #ifdef _RTE_ + #include "RTE_Components.h" + #ifdef RTE_DEVICE_STDPERIPH_FRAMEWORK + #define USE_STDPERIPH_DRIVER + #endif + #endif +#endif + +/** + * @brief at32a423 standard peripheral library version number + */ +#define __AT32A423_LIBRARY_VERSION_MAJOR (0x02) /*!< [31:24] major version */ +#define __AT32A423_LIBRARY_VERSION_MIDDLE (0x00) /*!< [23:16] middle version */ +#define __AT32A423_LIBRARY_VERSION_MINOR (0x01) /*!< [15:8] minor version */ +#define __AT32A423_LIBRARY_VERSION_RC (0x00) /*!< [7:0] release candidate */ +#define __AT32A423_LIBRARY_VERSION ((__AT32A423_LIBRARY_VERSION_MAJOR << 24) | \ + (__AT32A423_LIBRARY_VERSION_MIDDLE << 16) | \ + (__AT32A423_LIBRARY_VERSION_MINOR << 8) | \ + (__AT32A423_LIBRARY_VERSION_RC)) + +/** + * @} + */ + +/** @addtogroup configuration_section_for_cmsis + * @{ + */ + +/** + * @brief configuration of the cortex-m4 processor and core peripherals + */ +#define __CM4_REV 0x0001U /*!< core revision r0p1 */ +#define __MPU_PRESENT 1 /*!< mpu present */ +#define __NVIC_PRIO_BITS 4 /*!< at32 uses 4 bits for the priority levels */ +#define __Vendor_SysTickConfig 0 /*!< set to 1 if different systick config is used */ +#define __FPU_PRESENT 1U /*!< fpu present */ + +/** + * @brief at32a423 interrupt number definition, according to the selected device + * in @ref library_configuration_section + */ +typedef enum IRQn +{ + /****** cortex-m4 processor exceptions numbers ***************************************************/ + Reset_IRQn = -15, /*!< 1 reset vector, invoked on power up and warm reset */ + NonMaskableInt_IRQn = -14, /*!< 2 non maskable interrupt */ + HardFault_IRQn = -13, /*!< 3 hard fault, all classes of fault */ + MemoryManagement_IRQn = -12, /*!< 4 cortex-m4 memory management interrupt */ + BusFault_IRQn = -11, /*!< 5 cortex-m4 bus fault interrupt */ + UsageFault_IRQn = -10, /*!< 6 cortex-m4 usage fault interrupt */ + SVCall_IRQn = -5, /*!< 11 cortex-m4 sv call interrupt */ + DebugMonitor_IRQn = -4, /*!< 12 cortex-m4 debug monitor interrupt */ + PendSV_IRQn = -2, /*!< 14 cortex-m4 pend sv interrupt */ + SysTick_IRQn = -1, /*!< 15 cortex-m4 system tick interrupt */ + + /****** at32 specific interrupt numbers *********************************************************/ + WWDT_IRQn = 0, /*!< window watchdog timer interrupt */ + PVM_IRQn = 1, /*!< pvm through exint line detection interrupt */ + TAMP_STAMP_IRQn = 2, /*!< tamper and timestamp interrupts through the exint line */ + ERTC_WKUP_IRQn = 3, /*!< ertc wakeup through the exint line */ + FLASH_IRQn = 4, /*!< flash global interrupt */ + CRM_IRQn = 5, /*!< crm global interrupt */ + EXINT0_IRQn = 6, /*!< exint line0 interrupt */ + EXINT1_IRQn = 7, /*!< exint line1 interrupt */ + EXINT2_IRQn = 8, /*!< exint line2 interrupt */ + EXINT3_IRQn = 9, /*!< exint line3 interrupt */ + EXINT4_IRQn = 10, /*!< exint line4 interrupt */ + DMA1_Channel1_IRQn = 11, /*!< dma1 channel 1 global interrupt */ + DMA1_Channel2_IRQn = 12, /*!< dma1 channel 2 global interrupt */ + DMA1_Channel3_IRQn = 13, /*!< dma1 channel 3 global interrupt */ + DMA1_Channel4_IRQn = 14, /*!< dma1 channel 4 global interrupt */ + DMA1_Channel5_IRQn = 15, /*!< dma1 channel 5 global interrupt */ + DMA1_Channel6_IRQn = 16, /*!< dma1 channel 6 global interrupt */ + DMA1_Channel7_IRQn = 17, /*!< dma1 channel 7 global interrupt */ + + ADC1_IRQn = 18, /*!< adc1 global interrupt */ + CAN1_TX_IRQn = 19, /*!< can1 tx interrupts */ + CAN1_RX0_IRQn = 20, /*!< can1 rx0 interrupts */ + CAN1_RX1_IRQn = 21, /*!< can1 rx1 interrupt */ + CAN1_SE_IRQn = 22, /*!< can1 se interrupt */ + EXINT9_5_IRQn = 23, /*!< external line[9:5] interrupts */ + TMR1_BRK_TMR9_IRQn = 24, /*!< tmr1 brake interrupt */ + TMR1_OVF_TMR10_IRQn = 25, /*!< tmr1 overflow interrupt */ + TMR1_TRG_HALL_TMR11_IRQn = 26, /*!< tmr1 trigger and hall interrupt */ + TMR1_CH_IRQn = 27, /*!< tmr1 channel interrupt */ + TMR2_GLOBAL_IRQn = 28, /*!< tmr2 global interrupt */ + TMR3_GLOBAL_IRQn = 29, /*!< tmr3 global interrupt */ + TMR4_GLOBAL_IRQn = 30, /*!< tmr4 global interrupt */ + I2C1_EVT_IRQn = 31, /*!< i2c1 event interrupt */ + I2C1_ERR_IRQn = 32, /*!< i2c1 error interrupt */ + I2C2_EVT_IRQn = 33, /*!< i2c2 event interrupt */ + I2C2_ERR_IRQn = 34, /*!< i2c2 error interrupt */ + SPI1_IRQn = 35, /*!< spi1 global interrupt */ + SPI2_IRQn = 36, /*!< spi2 global interrupt */ + USART1_IRQn = 37, /*!< usart1 global interrupt */ + USART2_IRQn = 38, /*!< usart2 global interrupt */ + USART3_IRQn = 39, /*!< usart3 global interrupt */ + EXINT15_10_IRQn = 40, /*!< external line[15:10] interrupts */ + ERTCAlarm_IRQn = 41, /*!< ertc alarm through exint line interrupt */ + OTGFS1_WKUP_IRQn = 42, /*!< otgfs1 wakeup from suspend through exint line interrupt */ + TMR12_GLOBAL_IRQn = 43, /*!< tmr12 global interrupt */ + TMR13_GLOBAL_IRQn = 44, /*!< tmr13 global interrupt */ + TMR14_GLOBAL_IRQn = 45, /*!< tmr14 global interrupt */ + SPI3_IRQn = 51, /*!< spi3 global interrupt */ + USART4_IRQn = 52, /*!< usart4 global interrupt */ + USART5_IRQn = 53, /*!< usart5 global interrupt */ + TMR6_DAC_GLOBAL_IRQn = 54, /*!< tmr6 and dac global interrupt */ + TMR7_GLOBAL_IRQn = 55, /*!< tmr7 global interrupt */ + DMA2_Channel1_IRQn = 56, /*!< dma2 channel 1 global interrupt */ + DMA2_Channel2_IRQn = 57, /*!< dma2 channel 2 global interrupt */ + DMA2_Channel3_IRQn = 58, /*!< dma2 channel 3 global interrupt */ + DMA2_Channel4_IRQn = 59, /*!< dma2 channel 4 global interrupt */ + DMA2_Channel5_IRQn = 60, /*!< dma2 channel 5 global interrupt */ + CAN2_TX_IRQn = 63, /*!< can2 tx interrupt */ + CAN2_RX0_IRQn = 64, /*!< can2 rx0 interrupt */ + CAN2_RX1_IRQn = 65, /*!< can2 rx1 interrupt */ + CAN2_SE_IRQn = 66, /*!< can2 se interrupt */ + OTGFS1_IRQn = 67, /*!< otgfs1 interrupt */ + DMA2_Channel6_IRQn = 68, /*!< dma2 channel 6 global interrupt */ + DMA2_Channel7_IRQn = 69, /*!< dma2 channel 7 global interrupt */ + USART6_IRQn = 71, /*!< usart6 interrupt */ + I2C3_EVT_IRQn = 72, /*!< i2c3 event interrupt */ + I2C3_ERR_IRQn = 73, /*!< i2c3 error interrupt */ + FPU_IRQn = 81, /*!< fpu interrupt */ + USART7_IRQn = 82, /*!< usart7 interrupt */ + USART8_IRQn = 83, /*!< usart8 interrupt */ + DMAMUX_IRQn = 94, /*!< dmamux global interrupt */ + ACC_IRQn = 103 /*!< acc interrupt */ + +} IRQn_Type; + +/** + * @} + */ + +#include "core_cm4.h" +#include "system_at32a423.h" +#include + +/** @addtogroup Exported_types + * @{ + */ + +typedef int32_t INT32; +typedef int16_t INT16; +typedef int8_t INT8; +typedef uint32_t UINT32; +typedef uint16_t UINT16; +typedef uint8_t UINT8; + +typedef int32_t s32; +typedef int16_t s16; +typedef int8_t s8; + +typedef const int32_t sc32; /*!< read only */ +typedef const int16_t sc16; /*!< read only */ +typedef const int8_t sc8; /*!< read only */ + +typedef __IO int32_t vs32; +typedef __IO int16_t vs16; +typedef __IO int8_t vs8; + +typedef __I int32_t vsc32; /*!< read only */ +typedef __I int16_t vsc16; /*!< read only */ +typedef __I int8_t vsc8; /*!< read only */ + +typedef uint32_t u32; +typedef uint16_t u16; +typedef uint8_t u8; + +typedef const uint32_t uc32; /*!< read only */ +typedef const uint16_t uc16; /*!< read only */ +typedef const uint8_t uc8; /*!< read only */ + +typedef __IO uint32_t vu32; +typedef __IO uint16_t vu16; +typedef __IO uint8_t vu8; + +typedef __I uint32_t vuc32; /*!< read only */ +typedef __I uint16_t vuc16; /*!< read only */ +typedef __I uint8_t vuc8; /*!< read only */ + +typedef enum {RESET = 0, SET = !RESET} flag_status; +typedef enum {FALSE = 0, TRUE = !FALSE} confirm_state; +typedef enum {ERROR = 0, SUCCESS = !ERROR} error_status; + +/** + * @} + */ + +/** @addtogroup Exported_macro + * @{ + */ + +#define REG8(addr) *(volatile uint8_t *)(addr) +#define REG16(addr) *(volatile uint16_t *)(addr) +#define REG32(addr) *(volatile uint32_t *)(addr) + +#define MAKE_VALUE(reg_offset, bit_num) (((reg_offset) << 16) | (bit_num & 0x1f)) + +#define PERIPH_REG(periph_base, value) REG32((periph_base + (value >> 16))) +#define PERIPH_REG_BIT(value) (0x1u << (value & 0x1f)) + +/** + * @} + */ + +/** @addtogroup Peripheral_memory_map + * @{ + */ + +#define XMC_SDRAM_MEM_BASE ((uint32_t)0xC0000000) +#define QSPI2_MEM_BASE ((uint32_t)0xB0000000) +#define XMC_CARD_MEM_BASE ((uint32_t)0xA8000000) +#define QSPI2_REG_BASE ((uint32_t)0xA0002000) +#define QSPI1_REG_BASE ((uint32_t)0xA0001000) +#define XMC_REG_BASE ((uint32_t)0xA0000000) +#define XMC_BANK1_REG_BASE (XMC_REG_BASE + 0x0000) +#define XMC_BANK2_REG_BASE (XMC_REG_BASE + 0x0060) +#define XMC_BANK3_REG_BASE (XMC_REG_BASE + 0x0080) +#define XMC_BANK4_REG_BASE (XMC_REG_BASE + 0x00A0) +#define XMC_SDRAM_REG_BASE (XMC_REG_BASE + 0x0140) +#define QSPI1_MEM_BASE ((uint32_t)0x90000000) +#define XMC_MEM_BASE ((uint32_t)0x60000000) +#define PERIPH_BASE ((uint32_t)0x40000000) +#define SRAM_BB_BASE ((uint32_t)0x22000000) +#define PERIPH_BB_BASE ((uint32_t)0x42000000) +#define SRAM_BASE ((uint32_t)0x20000000) +#define USD_BASE ((uint32_t)0x1FFFF800) +#define FLASH_BASE ((uint32_t)0x08000000) + +#define DEBUG_BASE ((uint32_t)0xE0042000) + +#define APB1PERIPH_BASE (PERIPH_BASE) +#define APB2PERIPH_BASE (PERIPH_BASE + 0x10000) +#define AHBPERIPH1_BASE (PERIPH_BASE + 0x20000) +#define AHBPERIPH2_BASE (PERIPH_BASE + 0x10000000) + +/* apb1 bus base address */ +#define USART8_BASE (APB1PERIPH_BASE + 0x7C00) +#define USART7_BASE (APB1PERIPH_BASE + 0x7800) +#define DAC_BASE (APB1PERIPH_BASE + 0x7400) +#define PWC_BASE (APB1PERIPH_BASE + 0x7000) +#define CAN2_BASE (APB1PERIPH_BASE + 0x6800) +#define CAN1_BASE (APB1PERIPH_BASE + 0x6400) +#define I2C3_BASE (APB1PERIPH_BASE + 0x5C00) +#define I2C2_BASE (APB1PERIPH_BASE + 0x5800) +#define I2C1_BASE (APB1PERIPH_BASE + 0x5400) +#define USART5_BASE (APB1PERIPH_BASE + 0x5000) +#define USART4_BASE (APB1PERIPH_BASE + 0x4C00) +#define USART3_BASE (APB1PERIPH_BASE + 0x4800) +#define USART2_BASE (APB1PERIPH_BASE + 0x4400) +#define SPI3_BASE (APB1PERIPH_BASE + 0x3C00) +#define SPI2_BASE (APB1PERIPH_BASE + 0x3800) +#define WDT_BASE (APB1PERIPH_BASE + 0x3000) +#define WWDT_BASE (APB1PERIPH_BASE + 0x2C00) +#define ERTC_BASE (APB1PERIPH_BASE + 0x2800) +#define TMR14_BASE (APB1PERIPH_BASE + 0x2000) +#define TMR13_BASE (APB1PERIPH_BASE + 0x1C00) +#define TMR12_BASE (APB1PERIPH_BASE + 0x1800) +#define TMR7_BASE (APB1PERIPH_BASE + 0x1400) +#define TMR6_BASE (APB1PERIPH_BASE + 0x1000) +#define TMR4_BASE (APB1PERIPH_BASE + 0x0800) +#define TMR3_BASE (APB1PERIPH_BASE + 0x0400) +#define TMR2_BASE (APB1PERIPH_BASE + 0x0000) +/* apb2 bus base address */ +#define ACC_BASE (APB2PERIPH_BASE + 0x7400) +#define TMR11_BASE (APB2PERIPH_BASE + 0x4800) +#define TMR10_BASE (APB2PERIPH_BASE + 0x4400) +#define TMR9_BASE (APB2PERIPH_BASE + 0x4000) +#define EXINT_BASE (APB2PERIPH_BASE + 0x3C00) +#define SCFG_BASE (APB2PERIPH_BASE + 0x3800) +#define SPI1_BASE (APB2PERIPH_BASE + 0x3000) +#define ADC1_BASE (APB2PERIPH_BASE + 0x2000) +#define ADCCOM_BASE (APB2PERIPH_BASE + 0x2300) +#define USART6_BASE (APB2PERIPH_BASE + 0x1400) +#define USART1_BASE (APB2PERIPH_BASE + 0x1000) +#define TMR1_BASE (APB2PERIPH_BASE + 0x0000) +/* ahb bus base address */ +#define GPIOF_BASE (AHBPERIPH1_BASE + 0x1400) +#define GPIOE_BASE (AHBPERIPH1_BASE + 0x1000) +#define GPIOD_BASE (AHBPERIPH1_BASE + 0x0C00) +#define GPIOC_BASE (AHBPERIPH1_BASE + 0x0800) +#define GPIOB_BASE (AHBPERIPH1_BASE + 0x0400) +#define GPIOA_BASE (AHBPERIPH1_BASE + 0x0000) + +#define DMA1_BASE (AHBPERIPH1_BASE + 0x6000) +#define DMA1_CHANNEL1_BASE (DMA1_BASE + 0x0008) +#define DMA1_CHANNEL2_BASE (DMA1_BASE + 0x001C) +#define DMA1_CHANNEL3_BASE (DMA1_BASE + 0x0030) +#define DMA1_CHANNEL4_BASE (DMA1_BASE + 0x0044) +#define DMA1_CHANNEL5_BASE (DMA1_BASE + 0x0058) +#define DMA1_CHANNEL6_BASE (DMA1_BASE + 0x006C) +#define DMA1_CHANNEL7_BASE (DMA1_BASE + 0x0080) + +#define DMA1MUX_BASE (DMA1_BASE + 0x0104) +#define DMA1MUX_CHANNEL1_BASE (DMA1MUX_BASE) +#define DMA1MUX_CHANNEL2_BASE (DMA1MUX_BASE + 0x0004) +#define DMA1MUX_CHANNEL3_BASE (DMA1MUX_BASE + 0x0008) +#define DMA1MUX_CHANNEL4_BASE (DMA1MUX_BASE + 0x000C) +#define DMA1MUX_CHANNEL5_BASE (DMA1MUX_BASE + 0x0010) +#define DMA1MUX_CHANNEL6_BASE (DMA1MUX_BASE + 0x0014) +#define DMA1MUX_CHANNEL7_BASE (DMA1MUX_BASE + 0x0018) + +#define DMA1MUX_GENERATOR1_BASE (DMA1_BASE + 0x0120) +#define DMA1MUX_GENERATOR2_BASE (DMA1_BASE + 0x0124) +#define DMA1MUX_GENERATOR3_BASE (DMA1_BASE + 0x0128) +#define DMA1MUX_GENERATOR4_BASE (DMA1_BASE + 0x012C) + +#define DMA2_BASE (AHBPERIPH1_BASE + 0x6400) +#define DMA2_CHANNEL1_BASE (DMA2_BASE + 0x0008) +#define DMA2_CHANNEL2_BASE (DMA2_BASE + 0x001C) +#define DMA2_CHANNEL3_BASE (DMA2_BASE + 0x0030) +#define DMA2_CHANNEL4_BASE (DMA2_BASE + 0x0044) +#define DMA2_CHANNEL5_BASE (DMA2_BASE + 0x0058) +#define DMA2_CHANNEL6_BASE (DMA2_BASE + 0x006C) +#define DMA2_CHANNEL7_BASE (DMA2_BASE + 0x0080) + +#define DMA2MUX_BASE (DMA2_BASE + 0x0104) +#define DMA2MUX_CHANNEL1_BASE (DMA2MUX_BASE) +#define DMA2MUX_CHANNEL2_BASE (DMA2MUX_BASE + 0x0004) +#define DMA2MUX_CHANNEL3_BASE (DMA2MUX_BASE + 0x0008) +#define DMA2MUX_CHANNEL4_BASE (DMA2MUX_BASE + 0x000C) +#define DMA2MUX_CHANNEL5_BASE (DMA2MUX_BASE + 0x0010) +#define DMA2MUX_CHANNEL6_BASE (DMA2MUX_BASE + 0x0014) +#define DMA2MUX_CHANNEL7_BASE (DMA2MUX_BASE + 0x0018) + +#define DMA2MUX_GENERATOR1_BASE (DMA2_BASE + 0x0120) +#define DMA2MUX_GENERATOR2_BASE (DMA2_BASE + 0x0124) +#define DMA2MUX_GENERATOR3_BASE (DMA2_BASE + 0x0128) +#define DMA2MUX_GENERATOR4_BASE (DMA2_BASE + 0x012C) + +#define FLASH_REG_BASE (AHBPERIPH1_BASE + 0x3C00) +#define CRM_BASE (AHBPERIPH1_BASE + 0x3800) +#define CRC_BASE (AHBPERIPH1_BASE + 0x3000) +#define OTGFS1_BASE (AHBPERIPH2_BASE + 0x00000) + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#include "at32a423_def.h" +#include "at32a423_conf.h" + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/cmsis/cm4/device_support/at32a423_conf_template.h b/Firmware/cmsis/cm4/device_support/at32a423_conf_template.h new file mode 100644 index 0000000..408edf8 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/at32a423_conf_template.h @@ -0,0 +1,153 @@ +/** + ************************************************************************** + * @file at32a423_conf.h + * @brief at32a423 config header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CONF_H +#define __AT32A423_CONF_H + +#ifdef __cplusplus +extern "C" { +#endif + +/** + * @brief in the following line adjust the value of high speed external crystal (hext) + * used in your application + * + * tip: to avoid modifying this file each time you need to use different hext, you + * can define the hext value in your toolchain compiler preprocessor. + * + */ +#if !defined HEXT_VALUE +#define HEXT_VALUE ((uint32_t)8000000) /*!< value of the high speed external crystal in hz */ +#endif + +/** + * @brief in the following line adjust the high speed external crystal (hext) startup + * timeout value + */ +#define HEXT_STARTUP_TIMEOUT ((uint16_t)0x3000) /*!< time out for hext start up */ +#define HICK_VALUE ((uint32_t)8000000) /*!< value of the high speed internal clock in hz */ +#define LEXT_VALUE ((uint32_t)32768) /*!< value of the low speed external clock in hz */ + +/* module define -------------------------------------------------------------*/ +#define CRM_MODULE_ENABLED +#define TMR_MODULE_ENABLED +#define ERTC_MODULE_ENABLED +#define GPIO_MODULE_ENABLED +#define I2C_MODULE_ENABLED +#define USART_MODULE_ENABLED +#define PWC_MODULE_ENABLED +#define CAN_MODULE_ENABLED +#define ADC_MODULE_ENABLED +#define DAC_MODULE_ENABLED +#define SPI_MODULE_ENABLED +#define DMA_MODULE_ENABLED +#define DEBUG_MODULE_ENABLED +#define FLASH_MODULE_ENABLED +#define CRC_MODULE_ENABLED +#define WWDT_MODULE_ENABLED +#define WDT_MODULE_ENABLED +#define EXINT_MODULE_ENABLED +#define XMC_MODULE_ENABLED +#define USB_MODULE_ENABLED +#define ACC_MODULE_ENABLED +#define MISC_MODULE_ENABLED +#define SCFG_MODULE_ENABLED + +/* includes ------------------------------------------------------------------*/ +#ifdef CRM_MODULE_ENABLED +#include "at32a423_crm.h" +#endif +#ifdef TMR_MODULE_ENABLED +#include "at32a423_tmr.h" +#endif +#ifdef ERTC_MODULE_ENABLED +#include "at32a423_ertc.h" +#endif +#ifdef GPIO_MODULE_ENABLED +#include "at32a423_gpio.h" +#endif +#ifdef I2C_MODULE_ENABLED +#include "at32a423_i2c.h" +#endif +#ifdef USART_MODULE_ENABLED +#include "at32a423_usart.h" +#endif +#ifdef PWC_MODULE_ENABLED +#include "at32a423_pwc.h" +#endif +#ifdef CAN_MODULE_ENABLED +#include "at32a423_can.h" +#endif +#ifdef ADC_MODULE_ENABLED +#include "at32a423_adc.h" +#endif +#ifdef DAC_MODULE_ENABLED +#include "at32a423_dac.h" +#endif +#ifdef SPI_MODULE_ENABLED +#include "at32a423_spi.h" +#endif +#ifdef DMA_MODULE_ENABLED +#include "at32a423_dma.h" +#endif +#ifdef DEBUG_MODULE_ENABLED +#include "at32a423_debug.h" +#endif +#ifdef FLASH_MODULE_ENABLED +#include "at32a423_flash.h" +#endif +#ifdef CRC_MODULE_ENABLED +#include "at32a423_crc.h" +#endif +#ifdef WWDT_MODULE_ENABLED +#include "at32a423_wwdt.h" +#endif +#ifdef WDT_MODULE_ENABLED +#include "at32a423_wdt.h" +#endif +#ifdef EXINT_MODULE_ENABLED +#include "at32a423_exint.h" +#endif +#ifdef XMC_MODULE_ENABLED +#include "at32a423_xmc.h" +#endif +#ifdef ACC_MODULE_ENABLED +#include "at32a423_acc.h" +#endif +#ifdef MISC_MODULE_ENABLED +#include "at32a423_misc.h" +#endif +#ifdef SCFG_MODULE_ENABLED +#include "at32a423_scfg.h" +#endif +#ifdef USB_MODULE_ENABLED +#include "at32a423_usb.h" +#endif + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423x8_FLASH.ld b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423x8_FLASH.ld new file mode 100644 index 0000000..c26a156 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423x8_FLASH.ld @@ -0,0 +1,154 @@ +/* +***************************************************************************** +** +** File : AT32A423x8_FLASH.ld +** +** Abstract : Linker script for AT32A423x8 Device with +** 64KByte FLASH, 32KByte RAM +** +** Set heap size, stack size and stack location according +** to application requirements. +** +** Set memory bank area and size if external memory is used. +** +** Target : Artery Tek AT32 +** +** Environment : Arm gcc toolchain +** +***************************************************************************** +*/ + +/* Entry Point */ +ENTRY(Reset_Handler) + +/* Highest address of the user mode stack */ +_estack = 0x20008000; /* end of RAM */ + +/* Generate a link error if heap and stack don't fit into RAM */ +_Min_Heap_Size = 0x200; /* required amount of heap */ +_Min_Stack_Size = 0x400; /* required amount of stack */ + +/* Specify the memory areas */ +MEMORY +{ +FLASH (rx) : ORIGIN = 0x08000000, LENGTH = 64K +RAM (xrw) : ORIGIN = 0x20000000, LENGTH = 32K +} + +/* Define output sections */ +SECTIONS +{ + /* The startup code goes first into FLASH */ + .isr_vector : + { + . = ALIGN(4); + KEEP(*(.isr_vector)) /* Startup code */ + . = ALIGN(4); + } >FLASH + + /* The program code and other data goes into FLASH */ + .text : + { + . = ALIGN(4); + *(.text) /* .text sections (code) */ + *(.text*) /* .text* sections (code) */ + *(.glue_7) /* glue arm to thumb code */ + *(.glue_7t) /* glue thumb to arm code */ + *(.eh_frame) + + KEEP (*(.init)) + KEEP (*(.fini)) + + . = ALIGN(4); + _etext = .; /* define a global symbols at end of code */ + } >FLASH + + /* Constant data goes into FLASH */ + .rodata : + { + . = ALIGN(4); + *(.rodata) /* .rodata sections (constants, strings, etc.) */ + *(.rodata*) /* .rodata* sections (constants, strings, etc.) */ + . = ALIGN(4); + } >FLASH + + .ARM.extab : { *(.ARM.extab* .gnu.linkonce.armextab.*) } >FLASH + .ARM : { + __exidx_start = .; + *(.ARM.exidx*) + __exidx_end = .; + } >FLASH + + .preinit_array : + { + PROVIDE_HIDDEN (__preinit_array_start = .); + KEEP (*(.preinit_array*)) + PROVIDE_HIDDEN (__preinit_array_end = .); + } >FLASH + .init_array : + { + PROVIDE_HIDDEN (__init_array_start = .); + KEEP (*(SORT(.init_array.*))) + KEEP (*(.init_array*)) + PROVIDE_HIDDEN (__init_array_end = .); + } >FLASH + .fini_array : + { + PROVIDE_HIDDEN (__fini_array_start = .); + KEEP (*(SORT(.fini_array.*))) + KEEP (*(.fini_array*)) + PROVIDE_HIDDEN (__fini_array_end = .); + } >FLASH + + /* used by the startup to initialize data */ + _sidata = LOADADDR(.data); + + /* Initialized data sections goes into RAM, load LMA copy after code */ + .data : + { + . = ALIGN(4); + _sdata = .; /* create a global symbol at data start */ + *(.data) /* .data sections */ + *(.data*) /* .data* sections */ + + . = ALIGN(4); + _edata = .; /* define a global symbol at data end */ + } >RAM AT> FLASH + + /* Uninitialized data section */ + . = ALIGN(4); + .bss : + { + /* This is used by the startup in order to initialize the .bss secion */ + _sbss = .; /* define a global symbol at bss start */ + __bss_start__ = _sbss; + *(.bss) + *(.bss*) + *(COMMON) + + . = ALIGN(4); + _ebss = .; /* define a global symbol at bss end */ + __bss_end__ = _ebss; + } >RAM + + /* User_heap_stack section, used to check that there is enough RAM left */ + ._user_heap_stack : + { + . = ALIGN(8); + PROVIDE ( end = . ); + PROVIDE ( _end = . ); + . = . + _Min_Heap_Size; + . = . + _Min_Stack_Size; + . = ALIGN(8); + } >RAM + + /* Remove information from the standard libraries */ + /DISCARD/ : + { + libc.a ( * ) + libm.a ( * ) + libgcc.a ( * ) + } + + .ARM.attributes 0 : { *(.ARM.attributes) } +} diff --git a/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xB_FLASH.ld b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xB_FLASH.ld new file mode 100644 index 0000000..050bee1 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xB_FLASH.ld @@ -0,0 +1,154 @@ +/* +***************************************************************************** +** +** File : AT32A423xB_FLASH.ld +** +** Abstract : Linker script for AT32A423xB Device with +** 128KByte FLASH, 48KByte RAM +** +** Set heap size, stack size and stack location according +** to application requirements. +** +** Set memory bank area and size if external memory is used. +** +** Target : Artery Tek AT32 +** +** Environment : Arm gcc toolchain +** +***************************************************************************** +*/ + +/* Entry Point */ +ENTRY(Reset_Handler) + +/* Highest address of the user mode stack */ +_estack = 0x2000C000; /* end of RAM */ + +/* Generate a link error if heap and stack don't fit into RAM */ +_Min_Heap_Size = 0x200; /* required amount of heap */ +_Min_Stack_Size = 0x400; /* required amount of stack */ + +/* Specify the memory areas */ +MEMORY +{ +FLASH (rx) : ORIGIN = 0x08000000, LENGTH = 128K +RAM (xrw) : ORIGIN = 0x20000000, LENGTH = 48K +} + +/* Define output sections */ +SECTIONS +{ + /* The startup code goes first into FLASH */ + .isr_vector : + { + . = ALIGN(4); + KEEP(*(.isr_vector)) /* Startup code */ + . = ALIGN(4); + } >FLASH + + /* The program code and other data goes into FLASH */ + .text : + { + . = ALIGN(4); + *(.text) /* .text sections (code) */ + *(.text*) /* .text* sections (code) */ + *(.glue_7) /* glue arm to thumb code */ + *(.glue_7t) /* glue thumb to arm code */ + *(.eh_frame) + + KEEP (*(.init)) + KEEP (*(.fini)) + + . = ALIGN(4); + _etext = .; /* define a global symbols at end of code */ + } >FLASH + + /* Constant data goes into FLASH */ + .rodata : + { + . = ALIGN(4); + *(.rodata) /* .rodata sections (constants, strings, etc.) */ + *(.rodata*) /* .rodata* sections (constants, strings, etc.) */ + . = ALIGN(4); + } >FLASH + + .ARM.extab : { *(.ARM.extab* .gnu.linkonce.armextab.*) } >FLASH + .ARM : { + __exidx_start = .; + *(.ARM.exidx*) + __exidx_end = .; + } >FLASH + + .preinit_array : + { + PROVIDE_HIDDEN (__preinit_array_start = .); + KEEP (*(.preinit_array*)) + PROVIDE_HIDDEN (__preinit_array_end = .); + } >FLASH + .init_array : + { + PROVIDE_HIDDEN (__init_array_start = .); + KEEP (*(SORT(.init_array.*))) + KEEP (*(.init_array*)) + PROVIDE_HIDDEN (__init_array_end = .); + } >FLASH + .fini_array : + { + PROVIDE_HIDDEN (__fini_array_start = .); + KEEP (*(SORT(.fini_array.*))) + KEEP (*(.fini_array*)) + PROVIDE_HIDDEN (__fini_array_end = .); + } >FLASH + + /* used by the startup to initialize data */ + _sidata = LOADADDR(.data); + + /* Initialized data sections goes into RAM, load LMA copy after code */ + .data : + { + . = ALIGN(4); + _sdata = .; /* create a global symbol at data start */ + *(.data) /* .data sections */ + *(.data*) /* .data* sections */ + + . = ALIGN(4); + _edata = .; /* define a global symbol at data end */ + } >RAM AT> FLASH + + /* Uninitialized data section */ + . = ALIGN(4); + .bss : + { + /* This is used by the startup in order to initialize the .bss secion */ + _sbss = .; /* define a global symbol at bss start */ + __bss_start__ = _sbss; + *(.bss) + *(.bss*) + *(COMMON) + + . = ALIGN(4); + _ebss = .; /* define a global symbol at bss end */ + __bss_end__ = _ebss; + } >RAM + + /* User_heap_stack section, used to check that there is enough RAM left */ + ._user_heap_stack : + { + . = ALIGN(8); + PROVIDE ( end = . ); + PROVIDE ( _end = . ); + . = . + _Min_Heap_Size; + . = . + _Min_Stack_Size; + . = ALIGN(8); + } >RAM + + /* Remove information from the standard libraries */ + /DISCARD/ : + { + libc.a ( * ) + libm.a ( * ) + libgcc.a ( * ) + } + + .ARM.attributes 0 : { *(.ARM.attributes) } +} diff --git a/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xC_FLASH.ld b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xC_FLASH.ld new file mode 100644 index 0000000..f22d852 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/gcc/linker/AT32A423xC_FLASH.ld @@ -0,0 +1,154 @@ +/* +***************************************************************************** +** +** File : AT32A423xC_FLASH.ld +** +** Abstract : Linker script for AT32A423xC Device with +** 256KByte FLASH, 48KByte RAM +** +** Set heap size, stack size and stack location according +** to application requirements. +** +** Set memory bank area and size if external memory is used. +** +** Target : Artery Tek AT32 +** +** Environment : Arm gcc toolchain +** +***************************************************************************** +*/ + +/* Entry Point */ +ENTRY(Reset_Handler) + +/* Highest address of the user mode stack */ +_estack = 0x2000C000; /* end of RAM */ + +/* Generate a link error if heap and stack don't fit into RAM */ +_Min_Heap_Size = 0x200; /* required amount of heap */ +_Min_Stack_Size = 0x400; /* required amount of stack */ + +/* Specify the memory areas */ +MEMORY +{ +FLASH (rx) : ORIGIN = 0x08000000, LENGTH = 256K +RAM (xrw) : ORIGIN = 0x20000000, LENGTH = 48K +} + +/* Define output sections */ +SECTIONS +{ + /* The startup code goes first into FLASH */ + .isr_vector : + { + . = ALIGN(4); + KEEP(*(.isr_vector)) /* Startup code */ + . = ALIGN(4); + } >FLASH + + /* The program code and other data goes into FLASH */ + .text : + { + . = ALIGN(4); + *(.text) /* .text sections (code) */ + *(.text*) /* .text* sections (code) */ + *(.glue_7) /* glue arm to thumb code */ + *(.glue_7t) /* glue thumb to arm code */ + *(.eh_frame) + + KEEP (*(.init)) + KEEP (*(.fini)) + + . = ALIGN(4); + _etext = .; /* define a global symbols at end of code */ + } >FLASH + + /* Constant data goes into FLASH */ + .rodata : + { + . = ALIGN(4); + *(.rodata) /* .rodata sections (constants, strings, etc.) */ + *(.rodata*) /* .rodata* sections (constants, strings, etc.) */ + . = ALIGN(4); + } >FLASH + + .ARM.extab : { *(.ARM.extab* .gnu.linkonce.armextab.*) } >FLASH + .ARM : { + __exidx_start = .; + *(.ARM.exidx*) + __exidx_end = .; + } >FLASH + + .preinit_array : + { + PROVIDE_HIDDEN (__preinit_array_start = .); + KEEP (*(.preinit_array*)) + PROVIDE_HIDDEN (__preinit_array_end = .); + } >FLASH + .init_array : + { + PROVIDE_HIDDEN (__init_array_start = .); + KEEP (*(SORT(.init_array.*))) + KEEP (*(.init_array*)) + PROVIDE_HIDDEN (__init_array_end = .); + } >FLASH + .fini_array : + { + PROVIDE_HIDDEN (__fini_array_start = .); + KEEP (*(SORT(.fini_array.*))) + KEEP (*(.fini_array*)) + PROVIDE_HIDDEN (__fini_array_end = .); + } >FLASH + + /* used by the startup to initialize data */ + _sidata = LOADADDR(.data); + + /* Initialized data sections goes into RAM, load LMA copy after code */ + .data : + { + . = ALIGN(4); + _sdata = .; /* create a global symbol at data start */ + *(.data) /* .data sections */ + *(.data*) /* .data* sections */ + + . = ALIGN(4); + _edata = .; /* define a global symbol at data end */ + } >RAM AT> FLASH + + /* Uninitialized data section */ + . = ALIGN(4); + .bss : + { + /* This is used by the startup in order to initialize the .bss secion */ + _sbss = .; /* define a global symbol at bss start */ + __bss_start__ = _sbss; + *(.bss) + *(.bss*) + *(COMMON) + + . = ALIGN(4); + _ebss = .; /* define a global symbol at bss end */ + __bss_end__ = _ebss; + } >RAM + + /* User_heap_stack section, used to check that there is enough RAM left */ + ._user_heap_stack : + { + . = ALIGN(8); + PROVIDE ( end = . ); + PROVIDE ( _end = . ); + . = . + _Min_Heap_Size; + . = . + _Min_Stack_Size; + . = ALIGN(8); + } >RAM + + /* Remove information from the standard libraries */ + /DISCARD/ : + { + libc.a ( * ) + libm.a ( * ) + libgcc.a ( * ) + } + + .ARM.attributes 0 : { *(.ARM.attributes) } +} diff --git a/Firmware/cmsis/cm4/device_support/startup/gcc/startup_at32a423.s b/Firmware/cmsis/cm4/device_support/startup/gcc/startup_at32a423.s new file mode 100644 index 0000000..824f898 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/gcc/startup_at32a423.s @@ -0,0 +1,483 @@ +/** + ****************************************************************************** + * @file startup_at32a423.s + * @brief at32a423 devices vector table for gcc toolchain. + * this module performs: + * - set the initial sp + * - set the initial pc == reset_handler, + * - set the vector table entries with the exceptions isr address + * - configure the clock system and the external sram to + * be used as data memory (optional, to be enabled by user) + * - branches to main in the c library (which eventually + * calls main()). + * after reset the cortex-m4 processor is in thread mode, + * priority is privileged, and the stack is set to main. + ****************************************************************************** + */ + + .syntax unified + .cpu cortex-m4 + .fpu softvfp + .thumb + +.global g_pfnVectors +.global Default_Handler + +/* start address for the initialization values of the .data section. +defined in linker script */ +.word _sidata +/* start address for the .data section. defined in linker script */ +.word _sdata +/* end address for the .data section. defined in linker script */ +.word _edata +/* start address for the .bss section. defined in linker script */ +.word _sbss +/* end address for the .bss section. defined in linker script */ +.word _ebss +/* stack used for SystemInit_ExtMemCtl; always internal RAM used */ + +/** + * @brief This is the code that gets called when the processor first + * starts execution following a reset event. Only the absolutely + * necessary set is performed, after which the application + * supplied main() routine is called. + * @param None + * @retval None +*/ + + .section .text.Reset_Handler + .weak Reset_Handler + .type Reset_Handler, %function +Reset_Handler: + +/* Copy the data segment initializers from flash to SRAM */ + movs r1, #0 + b LoopCopyDataInit + +CopyDataInit: + ldr r3, =_sidata + ldr r3, [r3, r1] + str r3, [r0, r1] + adds r1, r1, #4 + +LoopCopyDataInit: + ldr r0, =_sdata + ldr r3, =_edata + adds r2, r0, r1 + cmp r2, r3 + bcc CopyDataInit + ldr r2, =_sbss + b LoopFillZerobss +/* Zero fill the bss segment. */ +FillZerobss: + movs r3, #0 + str r3, [r2], #4 + +LoopFillZerobss: + ldr r3, = _ebss + cmp r2, r3 + bcc FillZerobss + +/* Call the clock system intitialization function.*/ + bl SystemInit +/* Call static constructors */ + bl __libc_init_array +/* Call the application's entry point.*/ + bl main + bx lr +.size Reset_Handler, .-Reset_Handler + +/** + * @brief This is the code that gets called when the processor receives an + * unexpected interrupt. This simply enters an infinite loop, preserving + * the system state for examination by a debugger. + * @param None + * @retval None +*/ + .section .text.Default_Handler,"ax",%progbits +Default_Handler: +Infinite_Loop: + b Infinite_Loop + .size Default_Handler, .-Default_Handler +/****************************************************************************** +* +* The minimal vector table for a Cortex M3. Note that the proper constructs +* must be placed on this to ensure that it ends up at physical address +* 0x0000.0000. +* +*******************************************************************************/ + .section .isr_vector,"a",%progbits + .type g_pfnVectors, %object + .size g_pfnVectors, .-g_pfnVectors + + +g_pfnVectors: + .word _estack + .word Reset_Handler + .word NMI_Handler + .word HardFault_Handler + .word MemManage_Handler + .word BusFault_Handler + .word UsageFault_Handler + .word 0 + .word 0 + .word 0 + .word 0 + .word SVC_Handler + .word DebugMon_Handler + .word 0 + .word PendSV_Handler + .word SysTick_Handler + + /* External Interrupts */ + .word WWDT_IRQHandler /* Window Watchdog Timer */ + .word PVM_IRQHandler /* PVM through EXINT Line detect */ + .word TAMP_STAMP_IRQHandler /* Tamper and TimeStamps through the EXINT line */ + .word ERTC_WKUP_IRQHandler /* ERTC Wakeup through the EXINT line */ + .word FLASH_IRQHandler /* Flash */ + .word CRM_IRQHandler /* CRM */ + .word EXINT0_IRQHandler /* EXINT Line 0 */ + .word EXINT1_IRQHandler /* EXINT Line 1 */ + .word EXINT2_IRQHandler /* EXINT Line 2 */ + .word EXINT3_IRQHandler /* EXINT Line 3 */ + .word EXINT4_IRQHandler /* EXINT Line 4 */ + .word DMA1_Channel1_IRQHandler /* DMA1 Channel 1 */ + .word DMA1_Channel2_IRQHandler /* DMA1 Channel 2 */ + .word DMA1_Channel3_IRQHandler /* DMA1 Channel 3 */ + .word DMA1_Channel4_IRQHandler /* DMA1 Channel 4 */ + .word DMA1_Channel5_IRQHandler /* DMA1 Channel 5 */ + .word DMA1_Channel6_IRQHandler /* DMA1 Channel 6 */ + .word DMA1_Channel7_IRQHandler /* DMA1 Channel 7 */ + .word ADC1_IRQHandler /* ADC1 */ + .word CAN1_TX_IRQHandler /* CAN1 TX */ + .word CAN1_RX0_IRQHandler /* CAN1 RX0 */ + .word CAN1_RX1_IRQHandler /* CAN1 RX1 */ + .word CAN1_SE_IRQHandler /* CAN1 SE */ + .word EXINT9_5_IRQHandler /* EXINT Line [9:5] */ + .word TMR1_BRK_TMR9_IRQHandler /* TMR1 Brake and TMR9 */ + .word TMR1_OVF_TMR10_IRQHandler /* TMR1 Overflow and TMR10 */ + .word TMR1_TRG_HALL_TMR11_IRQHandler /* TMR1 Trigger and hall and TMR11 */ + .word TMR1_CH_IRQHandler /* TMR1 Channel */ + .word TMR2_GLOBAL_IRQHandler /* TMR2 */ + .word TMR3_GLOBAL_IRQHandler /* TMR3 */ + .word TMR4_GLOBAL_IRQHandler /* TMR4 */ + .word I2C1_EVT_IRQHandler /* I2C1 Event */ + .word I2C1_ERR_IRQHandler /* I2C1 Error */ + .word I2C2_EVT_IRQHandler /* I2C2 Event */ + .word I2C2_ERR_IRQHandler /* I2C2 Error */ + .word SPI1_IRQHandler /* SPI1 */ + .word SPI2_IRQHandler /* SPI2 */ + .word USART1_IRQHandler /* USART1 */ + .word USART2_IRQHandler /* USART2 */ + .word USART3_IRQHandler /* USART3 */ + .word EXINT15_10_IRQHandler /* EXINT Line [15:10] */ + .word ERTCAlarm_IRQHandler /* RTC Alarm through EXINT Line */ + .word OTGFS1_WKUP_IRQHandler /* OTGFS1 Wakeup from suspend */ + .word TMR12_GLOBAL_IRQHandler /* TMR12 */ + .word TMR13_GLOBAL_IRQHandler /* TMR13 */ + .word TMR14_GLOBAL_IRQHandler /* TMR14 */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word SPI3_IRQHandler /* SPI3 */ + .word USART4_IRQHandler /* USART4 */ + .word USART5_IRQHandler /* USART5 */ + .word TMR6_DAC_GLOBAL_IRQHandler /* TMR6 & DAC */ + .word TMR7_GLOBAL_IRQHandler /* TMR7 */ + .word DMA2_Channel1_IRQHandler /* DMA2 Channel 1 */ + .word DMA2_Channel2_IRQHandler /* DMA2 Channel 2 */ + .word DMA2_Channel3_IRQHandler /* DMA2 Channel 3 */ + .word DMA2_Channel4_IRQHandler /* DMA2 Channel 4 */ + .word DMA2_Channel5_IRQHandler /* DMA2 Channel 5 */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word CAN2_TX_IRQHandler /* CAN2 TX */ + .word CAN2_RX0_IRQHandler /* CAN2 RX0 */ + .word CAN2_RX1_IRQHandler /* CAN2 RX1 */ + .word CAN2_SE_IRQHandler /* CAN2 SE */ + .word OTGFS1_IRQHandler /* OTGFS1 */ + .word DMA2_Channel6_IRQHandler /* DMA2 Channel 6 */ + .word DMA2_Channel7_IRQHandler /* DMA2 Channel 7 */ + .word 0 /* Reserved */ + .word USART6_IRQHandler /* USART6 */ + .word I2C3_EVT_IRQHandler /* I2C3 Event */ + .word I2C3_ERR_IRQHandler /* I2C3 Error */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word FPU_IRQHandler /* FPU */ + .word USART7_IRQHandler /* USART7 */ + .word USART8_IRQHandler /* USART8 */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word DMAMUX_IRQHandler /* DMAMUX */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word 0 /* Reserved */ + .word ACC_IRQHandler /* ACC */ + +/******************************************************************************* +* +* Provide weak aliases for each Exception handler to the Default_Handler. +* As they are weak aliases, any function with the same name will override +* this definition. +* +*******************************************************************************/ + .weak NMI_Handler + .thumb_set NMI_Handler,Default_Handler + + .weak HardFault_Handler + .thumb_set HardFault_Handler,Default_Handler + + .weak MemManage_Handler + .thumb_set MemManage_Handler,Default_Handler + + .weak BusFault_Handler + .thumb_set BusFault_Handler,Default_Handler + + .weak UsageFault_Handler + .thumb_set UsageFault_Handler,Default_Handler + + .weak SVC_Handler + .thumb_set SVC_Handler,Default_Handler + + .weak DebugMon_Handler + .thumb_set DebugMon_Handler,Default_Handler + + .weak PendSV_Handler + .thumb_set PendSV_Handler,Default_Handler + + .weak SysTick_Handler + .thumb_set SysTick_Handler,Default_Handler + + .weak WWDT_IRQHandler + .thumb_set WWDT_IRQHandler,Default_Handler + + .weak PVM_IRQHandler + .thumb_set PVM_IRQHandler,Default_Handler + + .weak TAMP_STAMP_IRQHandler + .thumb_set TAMP_STAMP_IRQHandler,Default_Handler + + .weak ERTC_WKUP_IRQHandler + .thumb_set ERTC_WKUP_IRQHandler,Default_Handler + + .weak FLASH_IRQHandler + .thumb_set FLASH_IRQHandler,Default_Handler + + .weak CRM_IRQHandler + .thumb_set CRM_IRQHandler,Default_Handler + + .weak EXINT0_IRQHandler + .thumb_set EXINT0_IRQHandler,Default_Handler + + .weak EXINT1_IRQHandler + .thumb_set EXINT1_IRQHandler,Default_Handler + + .weak EXINT2_IRQHandler + .thumb_set EXINT2_IRQHandler,Default_Handler + + .weak EXINT3_IRQHandler + .thumb_set EXINT3_IRQHandler,Default_Handler + + .weak EXINT4_IRQHandler + .thumb_set EXINT4_IRQHandler,Default_Handler + + .weak DMA1_Channel1_IRQHandler + .thumb_set DMA1_Channel1_IRQHandler,Default_Handler + + .weak DMA1_Channel2_IRQHandler + .thumb_set DMA1_Channel2_IRQHandler,Default_Handler + + .weak DMA1_Channel3_IRQHandler + .thumb_set DMA1_Channel3_IRQHandler,Default_Handler + + .weak DMA1_Channel4_IRQHandler + .thumb_set DMA1_Channel4_IRQHandler,Default_Handler + + .weak DMA1_Channel5_IRQHandler + .thumb_set DMA1_Channel5_IRQHandler,Default_Handler + + .weak DMA1_Channel6_IRQHandler + .thumb_set DMA1_Channel6_IRQHandler,Default_Handler + + .weak DMA1_Channel7_IRQHandler + .thumb_set DMA1_Channel7_IRQHandler,Default_Handler + + .weak ADC1_IRQHandler + .thumb_set ADC1_IRQHandler,Default_Handler + + .weak CAN1_TX_IRQHandler + .thumb_set CAN1_TX_IRQHandler,Default_Handler + + .weak CAN1_RX0_IRQHandler + .thumb_set CAN1_RX0_IRQHandler,Default_Handler + + .weak CAN1_RX1_IRQHandler + .thumb_set CAN1_RX1_IRQHandler,Default_Handler + + .weak CAN1_SE_IRQHandler + .thumb_set CAN1_SE_IRQHandler,Default_Handler + + .weak EXINT9_5_IRQHandler + .thumb_set EXINT9_5_IRQHandler,Default_Handler + + .weak TMR1_BRK_TMR9_IRQHandler + .thumb_set TMR1_BRK_TMR9_IRQHandler,Default_Handler + + .weak TMR1_OVF_TMR10_IRQHandler + .thumb_set TMR1_OVF_TMR10_IRQHandler,Default_Handler + + .weak TMR1_TRG_HALL_TMR11_IRQHandler + .thumb_set TMR1_TRG_HALL_TMR11_IRQHandler,Default_Handler + + .weak TMR1_CH_IRQHandler + .thumb_set TMR1_CH_IRQHandler,Default_Handler + + .weak TMR2_GLOBAL_IRQHandler + .thumb_set TMR2_GLOBAL_IRQHandler,Default_Handler + + .weak TMR3_GLOBAL_IRQHandler + .thumb_set TMR3_GLOBAL_IRQHandler,Default_Handler + + .weak TMR4_GLOBAL_IRQHandler + .thumb_set TMR4_GLOBAL_IRQHandler,Default_Handler + + .weak I2C1_EVT_IRQHandler + .thumb_set I2C1_EVT_IRQHandler,Default_Handler + + .weak I2C1_ERR_IRQHandler + .thumb_set I2C1_ERR_IRQHandler,Default_Handler + + .weak I2C2_EVT_IRQHandler + .thumb_set I2C2_EVT_IRQHandler,Default_Handler + + .weak I2C2_ERR_IRQHandler + .thumb_set I2C2_ERR_IRQHandler,Default_Handler + + .weak SPI1_IRQHandler + .thumb_set SPI1_IRQHandler,Default_Handler + + .weak SPI2_IRQHandler + .thumb_set SPI2_IRQHandler,Default_Handler + + .weak USART1_IRQHandler + .thumb_set USART1_IRQHandler,Default_Handler + + .weak USART2_IRQHandler + .thumb_set USART2_IRQHandler,Default_Handler + + .weak USART3_IRQHandler + .thumb_set USART3_IRQHandler,Default_Handler + + .weak EXINT15_10_IRQHandler + .thumb_set EXINT15_10_IRQHandler,Default_Handler + + .weak ERTCAlarm_IRQHandler + .thumb_set ERTCAlarm_IRQHandler,Default_Handler + + .weak OTGFS1_WKUP_IRQHandler + .thumb_set OTGFS1_WKUP_IRQHandler,Default_Handler + + .weak TMR12_GLOBAL_IRQHandler + .thumb_set TMR12_GLOBAL_IRQHandler,Default_Handler + + .weak TMR13_GLOBAL_IRQHandler + .thumb_set TMR13_GLOBAL_IRQHandler,Default_Handler + + .weak TMR14_GLOBAL_IRQHandler + .thumb_set TMR14_GLOBAL_IRQHandler,Default_Handler + + .weak SPI3_IRQHandler + .thumb_set SPI3_IRQHandler,Default_Handler + + .weak USART4_IRQHandler + .thumb_set USART4_IRQHandler,Default_Handler + + .weak USART5_IRQHandler + .thumb_set USART5_IRQHandler,Default_Handler + + .weak TMR6_DAC_GLOBAL_IRQHandler + .thumb_set TMR6_DAC_GLOBAL_IRQHandler,Default_Handler + + .weak TMR7_GLOBAL_IRQHandler + .thumb_set TMR7_GLOBAL_IRQHandler,Default_Handler + + .weak DMA2_Channel1_IRQHandler + .thumb_set DMA2_Channel1_IRQHandler,Default_Handler + + .weak DMA2_Channel2_IRQHandler + .thumb_set DMA2_Channel2_IRQHandler,Default_Handler + + .weak DMA2_Channel3_IRQHandler + .thumb_set DMA2_Channel3_IRQHandler,Default_Handler + + .weak DMA2_Channel4_IRQHandler + .thumb_set DMA2_Channel4_IRQHandler,Default_Handler + + .weak DMA2_Channel5_IRQHandler + .thumb_set DMA2_Channel5_IRQHandler,Default_Handler + + .weak CAN2_TX_IRQHandler + .thumb_set CAN2_TX_IRQHandler,Default_Handler + + .weak CAN2_RX0_IRQHandler + .thumb_set CAN2_RX0_IRQHandler ,Default_Handler + + .weak CAN2_RX1_IRQHandler + .thumb_set CAN2_RX1_IRQHandler ,Default_Handler + + .weak CAN2_SE_IRQHandler + .thumb_set CAN2_SE_IRQHandler,Default_Handler + + .weak OTGFS1_IRQHandler + .thumb_set OTGFS1_IRQHandler,Default_Handler + + .weak DMA2_Channel6_IRQHandler + .thumb_set DMA2_Channel6_IRQHandler,Default_Handler + + .weak DMA2_Channel7_IRQHandler + .thumb_set DMA2_Channel7_IRQHandler,Default_Handler + + .weak USART6_IRQHandler + .thumb_set USART6_IRQHandler,Default_Handler + + .weak I2C3_EVT_IRQHandler + .thumb_set I2C3_EVT_IRQHandler,Default_Handler + + .weak I2C3_ERR_IRQHandler + .thumb_set I2C3_ERR_IRQHandler,Default_Handler + + .weak FPU_IRQHandler + .thumb_set FPU_IRQHandler,Default_Handler + + .weak USART7_IRQHandler + .thumb_set USART7_IRQHandler,Default_Handler + + .weak USART8_IRQHandler + .thumb_set USART8_IRQHandler,Default_Handler + + .weak DMAMUX_IRQHandler + .thumb_set DMAMUX_IRQHandler ,Default_Handler + + .weak ACC_IRQHandler + .thumb_set ACC_IRQHandler,Default_Handler diff --git a/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423x8.icf b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423x8.icf new file mode 100644 index 0000000..08ec5b3 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423x8.icf @@ -0,0 +1,30 @@ +/*###ICF### Section handled by ICF editor, don't touch! ****/ +/*-Editor annotation file-*/ +/* IcfEditorFile="$TOOLKIT_DIR$\config\ide\IcfEditor\cortex_v1_0.xml" */ +/*-Specials-*/ +define symbol __ICFEDIT_intvec_start__ = 0x08000000; +/*-Memory Regions-*/ +define symbol __ICFEDIT_region_ROM_start__ = 0x08000000; +define symbol __ICFEDIT_region_ROM_end__ = 0x0800FFFF; +define symbol __ICFEDIT_region_RAM_start__ = 0x20000000; +define symbol __ICFEDIT_region_RAM_end__ = 0x20007FFF; +/*-Sizes-*/ +define symbol __ICFEDIT_size_cstack__ = 0x1000; +define symbol __ICFEDIT_size_heap__ = 0x1000; +/**** End of ICF editor section. ###ICF###*/ + +define memory mem with size = 4G; +define region ROM_region = mem:[from __ICFEDIT_region_ROM_start__ to __ICFEDIT_region_ROM_end__]; +define region RAM_region = mem:[from __ICFEDIT_region_RAM_start__ to __ICFEDIT_region_RAM_end__]; + +define block CSTACK with alignment = 8, size = __ICFEDIT_size_cstack__ { }; +define block HEAP with alignment = 8, size = __ICFEDIT_size_heap__ { }; + +initialize by copy { readwrite }; +do not initialize { section .noinit }; + +place at address mem:__ICFEDIT_intvec_start__ { readonly section .intvec }; + +place in ROM_region { readonly }; +place in RAM_region { readwrite, + block CSTACK, block HEAP }; \ No newline at end of file diff --git a/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xB.icf b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xB.icf new file mode 100644 index 0000000..b7db04f --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xB.icf @@ -0,0 +1,30 @@ +/*###ICF### Section handled by ICF editor, don't touch! ****/ +/*-Editor annotation file-*/ +/* IcfEditorFile="$TOOLKIT_DIR$\config\ide\IcfEditor\cortex_v1_0.xml" */ +/*-Specials-*/ +define symbol __ICFEDIT_intvec_start__ = 0x08000000; +/*-Memory Regions-*/ +define symbol __ICFEDIT_region_ROM_start__ = 0x08000000; +define symbol __ICFEDIT_region_ROM_end__ = 0x0801FFFF; +define symbol __ICFEDIT_region_RAM_start__ = 0x20000000; +define symbol __ICFEDIT_region_RAM_end__ = 0x2000BFFF; +/*-Sizes-*/ +define symbol __ICFEDIT_size_cstack__ = 0x1000; +define symbol __ICFEDIT_size_heap__ = 0x1000; +/**** End of ICF editor section. ###ICF###*/ + +define memory mem with size = 4G; +define region ROM_region = mem:[from __ICFEDIT_region_ROM_start__ to __ICFEDIT_region_ROM_end__]; +define region RAM_region = mem:[from __ICFEDIT_region_RAM_start__ to __ICFEDIT_region_RAM_end__]; + +define block CSTACK with alignment = 8, size = __ICFEDIT_size_cstack__ { }; +define block HEAP with alignment = 8, size = __ICFEDIT_size_heap__ { }; + +initialize by copy { readwrite }; +do not initialize { section .noinit }; + +place at address mem:__ICFEDIT_intvec_start__ { readonly section .intvec }; + +place in ROM_region { readonly }; +place in RAM_region { readwrite, + block CSTACK, block HEAP }; \ No newline at end of file diff --git a/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xC.icf b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xC.icf new file mode 100644 index 0000000..a644cf3 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/iar/linker/AT32A423xC.icf @@ -0,0 +1,30 @@ +/*###ICF### Section handled by ICF editor, don't touch! ****/ +/*-Editor annotation file-*/ +/* IcfEditorFile="$TOOLKIT_DIR$\config\ide\IcfEditor\cortex_v1_0.xml" */ +/*-Specials-*/ +define symbol __ICFEDIT_intvec_start__ = 0x08000000; +/*-Memory Regions-*/ +define symbol __ICFEDIT_region_ROM_start__ = 0x08000000; +define symbol __ICFEDIT_region_ROM_end__ = 0x0803FFFF; +define symbol __ICFEDIT_region_RAM_start__ = 0x20000000; +define symbol __ICFEDIT_region_RAM_end__ = 0x2000BFFF; +/*-Sizes-*/ +define symbol __ICFEDIT_size_cstack__ = 0x1000; +define symbol __ICFEDIT_size_heap__ = 0x1000; +/**** End of ICF editor section. ###ICF###*/ + +define memory mem with size = 4G; +define region ROM_region = mem:[from __ICFEDIT_region_ROM_start__ to __ICFEDIT_region_ROM_end__]; +define region RAM_region = mem:[from __ICFEDIT_region_RAM_start__ to __ICFEDIT_region_RAM_end__]; + +define block CSTACK with alignment = 8, size = __ICFEDIT_size_cstack__ { }; +define block HEAP with alignment = 8, size = __ICFEDIT_size_heap__ { }; + +initialize by copy { readwrite }; +do not initialize { section .noinit }; + +place at address mem:__ICFEDIT_intvec_start__ { readonly section .intvec }; + +place in ROM_region { readonly }; +place in RAM_region { readwrite, + block CSTACK, block HEAP }; \ No newline at end of file diff --git a/Firmware/cmsis/cm4/device_support/startup/iar/startup_at32a423.s b/Firmware/cmsis/cm4/device_support/startup/iar/startup_at32a423.s new file mode 100644 index 0000000..f8dbfa2 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/iar/startup_at32a423.s @@ -0,0 +1,564 @@ +;************************************************************************** +;* @file startup_at32a423.s +;* @brief at32a423 startup file for IAR Systems +;************************************************************************** +; + +; Amount of memory (in bytes) allocated for Stack +; Tailor this value to your application needs +; Stack Configuration +; Stack Size (in Bytes) <0x0-0xFFFFFFFF:8> +; +; + + MODULE ?cstartup + + ;; Forward declaration of sections. + SECTION CSTACK:DATA:NOROOT(3) + + SECTION .intvec:CODE:NOROOT(2) + + EXTERN __iar_program_start + EXTERN SystemInit + PUBLIC __vector_table + + DATA +__vector_table + DCD sfe(CSTACK) + DCD Reset_Handler ; Reset Handler + DCD NMI_Handler ; NMI Handler + DCD HardFault_Handler ; Hard Fault Handler + DCD MemManage_Handler ; MPU Fault Handler + DCD BusFault_Handler ; Bus Fault Handler + DCD UsageFault_Handler ; Usage Fault Handler + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD SVC_Handler ; SVCall Handler + DCD DebugMon_Handler ; Debug Monitor Handler + DCD 0 ; Reserved + DCD PendSV_Handler ; PendSV Handler + DCD SysTick_Handler ; SysTick Handler + + ; External Interrupts + DCD WWDT_IRQHandler ; Window Watchdog Timer + DCD PVM_IRQHandler ; PVM through EXINT Line detect + DCD TAMP_STAMP_IRQHandler ; Tamper and TimeStamps through the EXINT line + DCD ERTC_WKUP_IRQHandler ; ERTC Wakeup through the EXINT line + DCD FLASH_IRQHandler ; Flash + DCD CRM_IRQHandler ; CRM + DCD EXINT0_IRQHandler ; EXINT Line 0 + DCD EXINT1_IRQHandler ; EXINT Line 1 + DCD EXINT2_IRQHandler ; EXINT Line 2 + DCD EXINT3_IRQHandler ; EXINT Line 3 + DCD EXINT4_IRQHandler ; EXINT Line 4 + DCD DMA1_Channel1_IRQHandler ; DMA1 Channel 1 + DCD DMA1_Channel2_IRQHandler ; DMA1 Channel 2 + DCD DMA1_Channel3_IRQHandler ; DMA1 Channel 3 + DCD DMA1_Channel4_IRQHandler ; DMA1 Channel 4 + DCD DMA1_Channel5_IRQHandler ; DMA1 Channel 5 + DCD DMA1_Channel6_IRQHandler ; DMA1 Channel 6 + DCD DMA1_Channel7_IRQHandler ; DMA1 Channel 7 + DCD ADC1_IRQHandler ; ADC1 + DCD CAN1_TX_IRQHandler ; CAN1 TX + DCD CAN1_RX0_IRQHandler ; CAN1 RX0 + DCD CAN1_RX1_IRQHandler ; CAN1 RX1 + DCD CAN1_SE_IRQHandler ; CAN1 SE + DCD EXINT9_5_IRQHandler ; EXINT Line [9:5] + DCD TMR1_BRK_TMR9_IRQHandler ; TMR1 Brake and TMR9 + DCD TMR1_OVF_TMR10_IRQHandler ; TMR1 Overflow and TMR10 + DCD TMR1_TRG_HALL_TMR11_IRQHandler ; TMR1 Trigger and hall and TMR11 + DCD TMR1_CH_IRQHandler ; TMR1 Channel + DCD TMR2_GLOBAL_IRQHandler ; TMR2 + DCD TMR3_GLOBAL_IRQHandler ; TMR3 + DCD TMR4_GLOBAL_IRQHandler ; TMR4 + DCD I2C1_EVT_IRQHandler ; I2C1 Event + DCD I2C1_ERR_IRQHandler ; I2C1 Error + DCD I2C2_EVT_IRQHandler ; I2C2 Event + DCD I2C2_ERR_IRQHandler ; I2C2 Error + DCD SPI1_IRQHandler ; SPI1 + DCD SPI2_IRQHandler ; SPI2 + DCD USART1_IRQHandler ; USART1 + DCD USART2_IRQHandler ; USART2 + DCD USART3_IRQHandler ; USART3 + DCD EXINT15_10_IRQHandler ; EXINT Line [15:10] + DCD ERTCAlarm_IRQHandler ; RTC Alarm through EXINT Line + DCD OTGFS1_WKUP_IRQHandler ; OTGFS1 Wakeup from suspend + DCD TMR12_GLOBAL_IRQHandler ; TMR12 + DCD TMR13_GLOBAL_IRQHandler ; TMR13 + DCD TMR14_GLOBAL_IRQHandler ; TMR14 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD SPI3_IRQHandler ; SPI3 + DCD USART4_IRQHandler ; USART4 + DCD USART5_IRQHandler ; USART5 + DCD TMR6_DAC_GLOBAL_IRQHandler ; TMR6 & DAC + DCD TMR7_GLOBAL_IRQHandler ; TMR7 + DCD DMA2_Channel1_IRQHandler ; DMA2 Channel 1 + DCD DMA2_Channel2_IRQHandler ; DMA2 Channel 2 + DCD DMA2_Channel3_IRQHandler ; DMA2 Channel 3 + DCD DMA2_Channel4_IRQHandler ; DMA2 Channel 4 + DCD DMA2_Channel5_IRQHandler ; DMA2 Channel 5 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD CAN2_TX_IRQHandler ; CAN2 TX + DCD CAN2_RX0_IRQHandler ; CAN2 RX0 + DCD CAN2_RX1_IRQHandler ; CAN2 RX1 + DCD CAN2_SE_IRQHandler ; CAN2 SE + DCD OTGFS1_IRQHandler ; OTGFS1 + DCD DMA2_Channel6_IRQHandler ; DMA2 Channel 6 + DCD DMA2_Channel7_IRQHandler ; DMA2 Channel 7 + DCD 0 ; Reserved + DCD USART6_IRQHandler ; USART6 + DCD I2C3_EVT_IRQHandler ; I2C3 Event + DCD I2C3_ERR_IRQHandler ; I2C3 Error + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD FPU_IRQHandler ; FPU + DCD USART7_IRQHandler ; USART7 + DCD USART8_IRQHandler ; USART8 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD DMAMUX_IRQHandler ; DMAMUX + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD ACC_IRQHandler ; ACC + +;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; +;; +;; Default interrupt handlers. +;; + THUMB + + PUBWEAK Reset_Handler + SECTION .text:CODE:REORDER:NOROOT(2) +Reset_Handler + LDR R0, =SystemInit + BLX R0 + LDR R0, =__iar_program_start + BX R0 + + PUBWEAK NMI_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +NMI_Handler + B NMI_Handler + + PUBWEAK HardFault_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +HardFault_Handler + B HardFault_Handler + + PUBWEAK MemManage_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +MemManage_Handler + B MemManage_Handler + + PUBWEAK BusFault_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +BusFault_Handler + B BusFault_Handler + + PUBWEAK UsageFault_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +UsageFault_Handler + B UsageFault_Handler + + PUBWEAK SVC_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +SVC_Handler + B SVC_Handler + + PUBWEAK DebugMon_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +DebugMon_Handler + B DebugMon_Handler + + PUBWEAK PendSV_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +PendSV_Handler + B PendSV_Handler + + PUBWEAK SysTick_Handler + SECTION .text:CODE:REORDER:NOROOT(1) +SysTick_Handler + B SysTick_Handler + + PUBWEAK WWDT_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +WWDT_IRQHandler + B WWDT_IRQHandler + + PUBWEAK PVM_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +PVM_IRQHandler + B PVM_IRQHandler + + PUBWEAK TAMP_STAMP_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TAMP_STAMP_IRQHandler + B TAMP_STAMP_IRQHandler + + PUBWEAK ERTC_WKUP_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +ERTC_WKUP_IRQHandler + B ERTC_WKUP_IRQHandler + + PUBWEAK FLASH_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +FLASH_IRQHandler + B FLASH_IRQHandler + + PUBWEAK CRM_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CRM_IRQHandler + B CRM_IRQHandler + + PUBWEAK EXINT0_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT0_IRQHandler + B EXINT0_IRQHandler + + PUBWEAK EXINT1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT1_IRQHandler + B EXINT1_IRQHandler + + PUBWEAK EXINT2_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT2_IRQHandler + B EXINT2_IRQHandler + + PUBWEAK EXINT3_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT3_IRQHandler + B EXINT3_IRQHandler + + PUBWEAK EXINT4_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT4_IRQHandler + B EXINT4_IRQHandler + + PUBWEAK DMA1_Channel1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel1_IRQHandler + B DMA1_Channel1_IRQHandler + + PUBWEAK DMA1_Channel2_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel2_IRQHandler + B DMA1_Channel2_IRQHandler + + PUBWEAK DMA1_Channel3_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel3_IRQHandler + B DMA1_Channel3_IRQHandler + + PUBWEAK DMA1_Channel4_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel4_IRQHandler + B DMA1_Channel4_IRQHandler + + PUBWEAK DMA1_Channel5_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel5_IRQHandler + B DMA1_Channel5_IRQHandler + + PUBWEAK DMA1_Channel6_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel6_IRQHandler + B DMA1_Channel6_IRQHandler + + PUBWEAK DMA1_Channel7_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA1_Channel7_IRQHandler + B DMA1_Channel7_IRQHandler + + PUBWEAK ADC1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +ADC1_IRQHandler + B ADC1_IRQHandler + + PUBWEAK CAN1_TX_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN1_TX_IRQHandler + B CAN1_TX_IRQHandler + + PUBWEAK CAN1_RX0_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN1_RX0_IRQHandler + B CAN1_RX0_IRQHandler + + PUBWEAK CAN1_RX1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN1_RX1_IRQHandler + B CAN1_RX1_IRQHandler + + PUBWEAK CAN1_SE_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN1_SE_IRQHandler + B CAN1_SE_IRQHandler + + PUBWEAK EXINT9_5_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT9_5_IRQHandler + B EXINT9_5_IRQHandler + + PUBWEAK TMR1_BRK_TMR9_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR1_BRK_TMR9_IRQHandler + B TMR1_BRK_TMR9_IRQHandler + + PUBWEAK TMR1_OVF_TMR10_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR1_OVF_TMR10_IRQHandler + B TMR1_OVF_TMR10_IRQHandler + + PUBWEAK TMR1_TRG_HALL_TMR11_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR1_TRG_HALL_TMR11_IRQHandler + B TMR1_TRG_HALL_TMR11_IRQHandler + + PUBWEAK TMR1_CH_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR1_CH_IRQHandler + B TMR1_CH_IRQHandler + + PUBWEAK TMR2_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR2_GLOBAL_IRQHandler + B TMR2_GLOBAL_IRQHandler + + PUBWEAK TMR3_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR3_GLOBAL_IRQHandler + B TMR3_GLOBAL_IRQHandler + + PUBWEAK TMR4_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR4_GLOBAL_IRQHandler + B TMR4_GLOBAL_IRQHandler + + PUBWEAK I2C1_EVT_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C1_EVT_IRQHandler + B I2C1_EVT_IRQHandler + + PUBWEAK I2C1_ERR_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C1_ERR_IRQHandler + B I2C1_ERR_IRQHandler + + PUBWEAK I2C2_EVT_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C2_EVT_IRQHandler + B I2C2_EVT_IRQHandler + + PUBWEAK I2C2_ERR_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C2_ERR_IRQHandler + B I2C2_ERR_IRQHandler + + PUBWEAK SPI1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +SPI1_IRQHandler + B SPI1_IRQHandler + + PUBWEAK SPI2_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +SPI2_IRQHandler + B SPI2_IRQHandler + + PUBWEAK USART1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART1_IRQHandler + B USART1_IRQHandler + + PUBWEAK USART2_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART2_IRQHandler + B USART2_IRQHandler + + PUBWEAK USART3_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART3_IRQHandler + B USART3_IRQHandler + + PUBWEAK EXINT15_10_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +EXINT15_10_IRQHandler + B EXINT15_10_IRQHandler + + PUBWEAK ERTCAlarm_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +ERTCAlarm_IRQHandler + B ERTCAlarm_IRQHandler + + PUBWEAK OTGFS1_WKUP_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +OTGFS1_WKUP_IRQHandler + B OTGFS1_WKUP_IRQHandler + + PUBWEAK TMR12_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR12_GLOBAL_IRQHandler + B TMR12_GLOBAL_IRQHandler + + PUBWEAK TMR13_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR13_GLOBAL_IRQHandler + B TMR13_GLOBAL_IRQHandler + + PUBWEAK TMR14_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR14_GLOBAL_IRQHandler + B TMR14_GLOBAL_IRQHandler + + PUBWEAK SPI3_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +SPI3_IRQHandler + B SPI3_IRQHandler + + PUBWEAK USART4_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART4_IRQHandler + B USART4_IRQHandler + + PUBWEAK USART5_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART5_IRQHandler + B USART5_IRQHandler + + PUBWEAK TMR6_DAC_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR6_DAC_GLOBAL_IRQHandler + B TMR6_DAC_GLOBAL_IRQHandler + + PUBWEAK TMR7_GLOBAL_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +TMR7_GLOBAL_IRQHandler + B TMR7_GLOBAL_IRQHandler + + PUBWEAK DMA2_Channel1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel1_IRQHandler + B DMA2_Channel1_IRQHandler + + PUBWEAK DMA2_Channel2_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel2_IRQHandler + B DMA2_Channel2_IRQHandler + + PUBWEAK DMA2_Channel3_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel3_IRQHandler + B DMA2_Channel3_IRQHandler + + PUBWEAK DMA2_Channel4_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel4_IRQHandler + B DMA2_Channel4_IRQHandler + + PUBWEAK DMA2_Channel5_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel5_IRQHandler + B DMA2_Channel5_IRQHandler + + PUBWEAK CAN2_TX_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN2_TX_IRQHandler + B CAN2_TX_IRQHandler + + PUBWEAK CAN2_RX0_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN2_RX0_IRQHandler + B CAN2_RX0_IRQHandler + + PUBWEAK CAN2_RX1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN2_RX1_IRQHandler + B CAN2_RX1_IRQHandler + + PUBWEAK CAN2_SE_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +CAN2_SE_IRQHandler + B CAN2_SE_IRQHandler + + PUBWEAK OTGFS1_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +OTGFS1_IRQHandler + B OTGFS1_IRQHandler + + PUBWEAK DMA2_Channel6_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel6_IRQHandler + B DMA2_Channel6_IRQHandler + + PUBWEAK DMA2_Channel7_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMA2_Channel7_IRQHandler + B DMA2_Channel7_IRQHandler + + PUBWEAK USART6_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART6_IRQHandler + B USART6_IRQHandler + + PUBWEAK I2C3_EVT_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C3_EVT_IRQHandler + B I2C3_EVT_IRQHandler + + PUBWEAK I2C3_ERR_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +I2C3_ERR_IRQHandler + B I2C3_ERR_IRQHandler + + PUBWEAK FPU_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +FPU_IRQHandler + B FPU_IRQHandler + + PUBWEAK USART7_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART7_IRQHandler + B USART7_IRQHandler + + PUBWEAK USART8_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +USART8_IRQHandler + B USART8_IRQHandler + + PUBWEAK DMAMUX_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +DMAMUX_IRQHandler + B DMAMUX_IRQHandler + + PUBWEAK ACC_IRQHandler + SECTION .text:CODE:REORDER:NOROOT(1) +ACC_IRQHandler + B ACC_IRQHandler + + END diff --git a/Firmware/cmsis/cm4/device_support/startup/mdk/startup_at32a423.s b/Firmware/cmsis/cm4/device_support/startup/mdk/startup_at32a423.s new file mode 100644 index 0000000..22f852f --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/startup/mdk/startup_at32a423.s @@ -0,0 +1,399 @@ +;************************************************************************** +;* @file startup_at32a423.s +;* @brief at32a423 startup file for keil +;* <<< Use Configuration Wizard in Context Menu >>> +;************************************************************************** +; + +; Amount of memory (in bytes) allocated for Stack +; Tailor this value to your application needs +; Stack Configuration +; Stack Size (in Bytes) <0x0-0xFFFFFFFF:8> +; + +Stack_Size EQU 0x00000400 + + AREA STACK, NOINIT, READWRITE, ALIGN=3 +Stack_Mem SPACE Stack_Size +__initial_sp + +; Heap Configuration +; Heap Size (in Bytes) <0x0-0xFFFFFFFF:8> +; + +Heap_Size EQU 0x00000200 + + AREA HEAP, NOINIT, READWRITE, ALIGN=3 +__heap_base +Heap_Mem SPACE Heap_Size +__heap_limit + + PRESERVE8 + THUMB + + +; Vector Table Mapped to Address 0 at Reset + AREA RESET, DATA, READONLY + EXPORT __Vectors + EXPORT __Vectors_End + EXPORT __Vectors_Size + +__Vectors DCD __initial_sp ; Top of Stack + DCD Reset_Handler ; Reset Handler + DCD NMI_Handler ; NMI Handler + DCD HardFault_Handler ; Hard Fault Handler + DCD MemManage_Handler ; MPU Fault Handler + DCD BusFault_Handler ; Bus Fault Handler + DCD UsageFault_Handler ; Usage Fault Handler + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD SVC_Handler ; SVCall Handler + DCD DebugMon_Handler ; Debug Monitor Handler + DCD 0 ; Reserved + DCD PendSV_Handler ; PendSV Handler + DCD SysTick_Handler ; SysTick Handler + + ; External Interrupts + DCD WWDT_IRQHandler ; Window Watchdog Timer + DCD PVM_IRQHandler ; PVM through EXINT Line detect + DCD TAMP_STAMP_IRQHandler ; Tamper and TimeStamps through the EXINT line + DCD ERTC_WKUP_IRQHandler ; ERTC Wakeup through the EXINT line + DCD FLASH_IRQHandler ; Flash + DCD CRM_IRQHandler ; CRM + DCD EXINT0_IRQHandler ; EXINT Line 0 + DCD EXINT1_IRQHandler ; EXINT Line 1 + DCD EXINT2_IRQHandler ; EXINT Line 2 + DCD EXINT3_IRQHandler ; EXINT Line 3 + DCD EXINT4_IRQHandler ; EXINT Line 4 + DCD DMA1_Channel1_IRQHandler ; DMA1 Channel 1 + DCD DMA1_Channel2_IRQHandler ; DMA1 Channel 2 + DCD DMA1_Channel3_IRQHandler ; DMA1 Channel 3 + DCD DMA1_Channel4_IRQHandler ; DMA1 Channel 4 + DCD DMA1_Channel5_IRQHandler ; DMA1 Channel 5 + DCD DMA1_Channel6_IRQHandler ; DMA1 Channel 6 + DCD DMA1_Channel7_IRQHandler ; DMA1 Channel 7 + DCD ADC1_IRQHandler ; ADC1 + DCD CAN1_TX_IRQHandler ; CAN1 TX + DCD CAN1_RX0_IRQHandler ; CAN1 RX0 + DCD CAN1_RX1_IRQHandler ; CAN1 RX1 + DCD CAN1_SE_IRQHandler ; CAN1 SE + DCD EXINT9_5_IRQHandler ; EXINT Line [9:5] + DCD TMR1_BRK_TMR9_IRQHandler ; TMR1 Brake and TMR9 + DCD TMR1_OVF_TMR10_IRQHandler ; TMR1 Overflow and TMR10 + DCD TMR1_TRG_HALL_TMR11_IRQHandler ; TMR1 Trigger and hall and TMR11 + DCD TMR1_CH_IRQHandler ; TMR1 Channel + DCD TMR2_GLOBAL_IRQHandler ; TMR2 + DCD TMR3_GLOBAL_IRQHandler ; TMR3 + DCD TMR4_GLOBAL_IRQHandler ; TMR4 + DCD I2C1_EVT_IRQHandler ; I2C1 Event + DCD I2C1_ERR_IRQHandler ; I2C1 Error + DCD I2C2_EVT_IRQHandler ; I2C2 Event + DCD I2C2_ERR_IRQHandler ; I2C2 Error + DCD SPI1_IRQHandler ; SPI1 + DCD SPI2_IRQHandler ; SPI2 + DCD USART1_IRQHandler ; USART1 + DCD USART2_IRQHandler ; USART2 + DCD USART3_IRQHandler ; USART3 + DCD EXINT15_10_IRQHandler ; EXINT Line [15:10] + DCD ERTCAlarm_IRQHandler ; RTC Alarm through EXINT Line + DCD OTGFS1_WKUP_IRQHandler ; OTGFS1 Wakeup from suspend + DCD TMR12_GLOBAL_IRQHandler ; TMR12 + DCD TMR13_GLOBAL_IRQHandler ; TMR13 + DCD TMR14_GLOBAL_IRQHandler ; TMR14 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD SPI3_IRQHandler ; SPI3 + DCD USART4_IRQHandler ; USART4 + DCD USART5_IRQHandler ; USART5 + DCD TMR6_DAC_GLOBAL_IRQHandler ; TMR6 & DAC + DCD TMR7_GLOBAL_IRQHandler ; TMR7 + DCD DMA2_Channel1_IRQHandler ; DMA2 Channel 1 + DCD DMA2_Channel2_IRQHandler ; DMA2 Channel 2 + DCD DMA2_Channel3_IRQHandler ; DMA2 Channel 3 + DCD DMA2_Channel4_IRQHandler ; DMA2 Channel 4 + DCD DMA2_Channel5_IRQHandler ; DMA2 Channel 5 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD CAN2_TX_IRQHandler ; CAN2 TX + DCD CAN2_RX0_IRQHandler ; CAN2 RX0 + DCD CAN2_RX1_IRQHandler ; CAN2 RX1 + DCD CAN2_SE_IRQHandler ; CAN2 SE + DCD OTGFS1_IRQHandler ; OTGFS1 + DCD DMA2_Channel6_IRQHandler ; DMA2 Channel 6 + DCD DMA2_Channel7_IRQHandler ; DMA2 Channel 7 + DCD 0 ; Reserved + DCD USART6_IRQHandler ; USART6 + DCD I2C3_EVT_IRQHandler ; I2C3 Event + DCD I2C3_ERR_IRQHandler ; I2C3 Error + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD FPU_IRQHandler ; FPU + DCD USART7_IRQHandler ; USART7 + DCD USART8_IRQHandler ; USART8 + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD DMAMUX_IRQHandler ; DMAMUX + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD 0 ; Reserved + DCD ACC_IRQHandler ; ACC +__Vectors_End + +__Vectors_Size EQU __Vectors_End - __Vectors + + AREA |.text|, CODE, READONLY + +; Reset handler +Reset_Handler PROC + EXPORT Reset_Handler [WEAK] + IMPORT __main + IMPORT SystemInit + LDR R0, =SystemInit + BLX R0 + LDR R0, =__main + BX R0 + ENDP + +; Dummy Exception Handlers (infinite loops which can be modified) + +NMI_Handler PROC + EXPORT NMI_Handler [WEAK] + B . + ENDP +HardFault_Handler\ + PROC + EXPORT HardFault_Handler [WEAK] + B . + ENDP +MemManage_Handler\ + PROC + EXPORT MemManage_Handler [WEAK] + B . + ENDP +BusFault_Handler\ + PROC + EXPORT BusFault_Handler [WEAK] + B . + ENDP +UsageFault_Handler\ + PROC + EXPORT UsageFault_Handler [WEAK] + B . + ENDP +SVC_Handler PROC + EXPORT SVC_Handler [WEAK] + B . + ENDP +DebugMon_Handler\ + PROC + EXPORT DebugMon_Handler [WEAK] + B . + ENDP +PendSV_Handler PROC + EXPORT PendSV_Handler [WEAK] + B . + ENDP +SysTick_Handler PROC + EXPORT SysTick_Handler [WEAK] + B . + ENDP + +Default_Handler PROC + EXPORT WWDT_IRQHandler [WEAK] + EXPORT PVM_IRQHandler [WEAK] + EXPORT TAMP_STAMP_IRQHandler [WEAK] + EXPORT ERTC_WKUP_IRQHandler [WEAK] + EXPORT FLASH_IRQHandler [WEAK] + EXPORT CRM_IRQHandler [WEAK] + EXPORT EXINT0_IRQHandler [WEAK] + EXPORT EXINT1_IRQHandler [WEAK] + EXPORT EXINT2_IRQHandler [WEAK] + EXPORT EXINT3_IRQHandler [WEAK] + EXPORT EXINT4_IRQHandler [WEAK] + EXPORT DMA1_Channel1_IRQHandler [WEAK] + EXPORT DMA1_Channel2_IRQHandler [WEAK] + EXPORT DMA1_Channel3_IRQHandler [WEAK] + EXPORT DMA1_Channel4_IRQHandler [WEAK] + EXPORT DMA1_Channel5_IRQHandler [WEAK] + EXPORT DMA1_Channel6_IRQHandler [WEAK] + EXPORT DMA1_Channel7_IRQHandler [WEAK] + EXPORT ADC1_IRQHandler [WEAK] + EXPORT CAN1_TX_IRQHandler [WEAK] + EXPORT CAN1_RX0_IRQHandler [WEAK] + EXPORT CAN1_RX1_IRQHandler [WEAK] + EXPORT CAN1_SE_IRQHandler [WEAK] + EXPORT EXINT9_5_IRQHandler [WEAK] + EXPORT TMR1_BRK_TMR9_IRQHandler [WEAK] + EXPORT TMR1_OVF_TMR10_IRQHandler [WEAK] + EXPORT TMR1_TRG_HALL_TMR11_IRQHandler [WEAK] + EXPORT TMR1_CH_IRQHandler [WEAK] + EXPORT TMR2_GLOBAL_IRQHandler [WEAK] + EXPORT TMR3_GLOBAL_IRQHandler [WEAK] + EXPORT TMR4_GLOBAL_IRQHandler [WEAK] + EXPORT I2C1_EVT_IRQHandler [WEAK] + EXPORT I2C1_ERR_IRQHandler [WEAK] + EXPORT I2C2_EVT_IRQHandler [WEAK] + EXPORT I2C2_ERR_IRQHandler [WEAK] + EXPORT SPI1_IRQHandler [WEAK] + EXPORT SPI2_IRQHandler [WEAK] + EXPORT USART1_IRQHandler [WEAK] + EXPORT USART2_IRQHandler [WEAK] + EXPORT USART3_IRQHandler [WEAK] + EXPORT EXINT15_10_IRQHandler [WEAK] + EXPORT ERTCAlarm_IRQHandler [WEAK] + EXPORT OTGFS1_WKUP_IRQHandler [WEAK] + EXPORT TMR12_GLOBAL_IRQHandler [WEAK] + EXPORT TMR13_GLOBAL_IRQHandler [WEAK] + EXPORT TMR14_GLOBAL_IRQHandler [WEAK] + EXPORT SPI3_IRQHandler [WEAK] + EXPORT USART4_IRQHandler [WEAK] + EXPORT USART5_IRQHandler [WEAK] + EXPORT TMR6_DAC_GLOBAL_IRQHandler [WEAK] + EXPORT TMR7_GLOBAL_IRQHandler [WEAK] + EXPORT DMA2_Channel1_IRQHandler [WEAK] + EXPORT DMA2_Channel2_IRQHandler [WEAK] + EXPORT DMA2_Channel3_IRQHandler [WEAK] + EXPORT DMA2_Channel4_IRQHandler [WEAK] + EXPORT DMA2_Channel5_IRQHandler [WEAK] + EXPORT CAN2_TX_IRQHandler [WEAK] + EXPORT CAN2_RX0_IRQHandler [WEAK] + EXPORT CAN2_RX1_IRQHandler [WEAK] + EXPORT CAN2_SE_IRQHandler [WEAK] + EXPORT OTGFS1_IRQHandler [WEAK] + EXPORT DMA2_Channel6_IRQHandler [WEAK] + EXPORT DMA2_Channel7_IRQHandler [WEAK] + EXPORT USART6_IRQHandler [WEAK] + EXPORT I2C3_EVT_IRQHandler [WEAK] + EXPORT I2C3_ERR_IRQHandler [WEAK] + EXPORT FPU_IRQHandler [WEAK] + EXPORT USART7_IRQHandler [WEAK] + EXPORT USART8_IRQHandler [WEAK] + EXPORT DMAMUX_IRQHandler [WEAK] + EXPORT ACC_IRQHandler [WEAK] +WWDT_IRQHandler +PVM_IRQHandler +TAMP_STAMP_IRQHandler +ERTC_WKUP_IRQHandler +FLASH_IRQHandler +CRM_IRQHandler +EXINT0_IRQHandler +EXINT1_IRQHandler +EXINT2_IRQHandler +EXINT3_IRQHandler +EXINT4_IRQHandler +DMA1_Channel1_IRQHandler +DMA1_Channel2_IRQHandler +DMA1_Channel3_IRQHandler +DMA1_Channel4_IRQHandler +DMA1_Channel5_IRQHandler +DMA1_Channel6_IRQHandler +DMA1_Channel7_IRQHandler +ADC1_IRQHandler +CAN1_TX_IRQHandler +CAN1_RX0_IRQHandler +CAN1_RX1_IRQHandler +CAN1_SE_IRQHandler +EXINT9_5_IRQHandler +TMR1_BRK_TMR9_IRQHandler +TMR1_OVF_TMR10_IRQHandler +TMR1_TRG_HALL_TMR11_IRQHandler +TMR1_CH_IRQHandler +TMR2_GLOBAL_IRQHandler +TMR3_GLOBAL_IRQHandler +TMR4_GLOBAL_IRQHandler +I2C1_EVT_IRQHandler +I2C1_ERR_IRQHandler +I2C2_EVT_IRQHandler +I2C2_ERR_IRQHandler +SPI1_IRQHandler +SPI2_IRQHandler +USART1_IRQHandler +USART2_IRQHandler +USART3_IRQHandler +EXINT15_10_IRQHandler +ERTCAlarm_IRQHandler +OTGFS1_WKUP_IRQHandler +TMR12_GLOBAL_IRQHandler +TMR13_GLOBAL_IRQHandler +TMR14_GLOBAL_IRQHandler +SPI3_IRQHandler +USART4_IRQHandler +USART5_IRQHandler +TMR6_DAC_GLOBAL_IRQHandler +TMR7_GLOBAL_IRQHandler +DMA2_Channel1_IRQHandler +DMA2_Channel2_IRQHandler +DMA2_Channel3_IRQHandler +DMA2_Channel4_IRQHandler +DMA2_Channel5_IRQHandler +CAN2_TX_IRQHandler +CAN2_RX0_IRQHandler +CAN2_RX1_IRQHandler +CAN2_SE_IRQHandler +OTGFS1_IRQHandler +DMA2_Channel6_IRQHandler +DMA2_Channel7_IRQHandler +USART6_IRQHandler +I2C3_EVT_IRQHandler +I2C3_ERR_IRQHandler +FPU_IRQHandler +USART7_IRQHandler +USART8_IRQHandler +DMAMUX_IRQHandler +ACC_IRQHandler + B . + + ENDP + + ALIGN + +;******************************************************************************* +; User Stack and Heap initialization +;******************************************************************************* + IF :DEF:__MICROLIB + + EXPORT __initial_sp + EXPORT __heap_base + EXPORT __heap_limit + + ELSE + + IMPORT __use_two_region_memory + EXPORT __user_initial_stackheap + +__user_initial_stackheap + + LDR R0, = Heap_Mem + LDR R1, = (Stack_Mem + Stack_Size) + LDR R2, = (Heap_Mem + Heap_Size) + LDR R3, = Stack_Mem + BX LR + + ALIGN + + ENDIF + + END diff --git a/Firmware/cmsis/cm4/device_support/system_at32a423.c b/Firmware/cmsis/cm4/device_support/system_at32a423.c new file mode 100644 index 0000000..3b26ed8 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/system_at32a423.c @@ -0,0 +1,204 @@ +/** + ************************************************************************** + * @file system_at32a423.c + * @brief contains all the functions for cmsis cortex-m4 system source file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/** @addtogroup CMSIS + * @{ + */ + +/** @addtogroup AT32A423_system + * @{ + */ + +#include "at32a423.h" + +/** @addtogroup AT32A423_system_private_defines + * @{ + */ +#define VECT_TAB_OFFSET 0x0 /*!< vector table base offset field. this value must be a multiple of 0x200. */ +/** + * @} + */ + +/** @addtogroup AT32A423_system_private_variables + * @{ + */ +unsigned int system_core_clock = HICK_VALUE; /*!< system clock frequency (core clock) */ +/** + * @} + */ + +/** @addtogroup AT32A423_system_private_functions + * @{ + */ + +/** + * @brief setup the microcontroller system + * initialize the flash interface. + * @note this function should be used only after reset. + * @param none + * @retval none + */ +void SystemInit (void) +{ +#if defined (__FPU_USED) && (__FPU_USED == 1U) + SCB->CPACR |= ((3U << 10U * 2U) | /* set cp10 full access */ + (3U << 11U * 2U) ); /* set cp11 full access */ +#endif + + /* reset the crm clock configuration to the default reset state(for debug purpose) */ + /* enable auto step mode */ + crm_auto_step_mode_enable(TRUE); + + /* set hicken bit */ + CRM->ctrl_bit.hicken = TRUE; + + /* wait hick stable */ + while(CRM->ctrl_bit.hickstbl != SET); + + /* hick used as system clock */ + CRM->cfg_bit.sclksel = CRM_SCLK_HICK; + + /* wait sclk switch status */ + while(CRM->cfg_bit.sclksts != CRM_SCLK_HICK); + + /* reset hexten, hextbyps, cfden and pllen bits */ + CRM->ctrl &= ~(0x010D0000U); + + /* reset cfg register, include sclk switch, ahbdiv, apb1div, apb2div, adcdiv, clkout bits */ + CRM->cfg = 0x40000000U; + + /* reset pllms pllns pllfr pllrcs bits */ + CRM->pllcfg = 0x00033002U; + + /* reset clkout_sel, clkoutdiv, pllclk_to_adc, hick_to_usb */ + CRM->misc1 &= 0x00005000U; + CRM->misc1 |= 0x000F0000U; + + /* disable all interrupts enable and clear pending bits */ + CRM->clkint = 0x009F0000U; + + /* disable auto step mode */ + crm_auto_step_mode_enable(FALSE); + +#ifdef VECT_TAB_SRAM + SCB->VTOR = SRAM_BASE | VECT_TAB_OFFSET; /* vector table relocation in internal sram. */ +#else + SCB->VTOR = FLASH_BASE | VECT_TAB_OFFSET; /* vector table relocation in internal flash. */ +#endif +} + +/** + * @brief update system_core_clock variable according to clock register values. + * the system_core_clock variable contains the core clock (hclk), it can + * be used by the user application to setup the systick timer or configure + * other parameters. + * @param none + * @retval none + */ +void system_core_clock_update(void) +{ + uint32_t pll_ns = 0, pll_ms = 0, pll_fr = 0, pll_clock_source = 0, pllrcsfreq = 0; + uint32_t temp = 0, div_value = 0, psc = 0; + crm_sclk_type sclk_source; + + static const uint8_t sys_ahb_div_table[16] = {0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9}; + static const uint8_t pll_fr_table[6] = {1, 2, 4, 8, 16, 32}; + + /* get sclk source */ + sclk_source = crm_sysclk_switch_status_get(); + + switch(sclk_source) + { + case CRM_SCLK_HICK: + if(((CRM->misc1_bit.hick_to_sclk) != RESET) && ((CRM->misc1_bit.hickdiv) != RESET)) + system_core_clock = HICK_VALUE * 6; + else + system_core_clock = HICK_VALUE; + + psc = CRM->misc2_bit.hick_to_sclk_div; + system_core_clock = system_core_clock >> psc; + break; + case CRM_SCLK_HEXT: + system_core_clock = HEXT_VALUE; + psc = CRM->misc2_bit.hext_to_sclk_div; + system_core_clock = system_core_clock >> psc; + break; + case CRM_SCLK_PLL: + /* get pll clock source */ + pll_clock_source = CRM->pllcfg_bit.pllrcs; + + /* get multiplication factor */ + pll_ns = CRM->pllcfg_bit.pllns; + pll_ms = CRM->pllcfg_bit.pllms; + pll_fr = pll_fr_table[CRM->pllcfg_bit.pllfr]; + + if (pll_clock_source == CRM_PLL_SOURCE_HICK) + { + /* hick selected as pll clock entry */ + pllrcsfreq = HICK_VALUE; + } + else + { + /* hext selected as pll clock entry */ + pllrcsfreq = HEXT_VALUE; + } + + system_core_clock = (uint32_t)(((uint64_t)pllrcsfreq * pll_ns) / (pll_ms * pll_fr) / 2); + break; + default: + system_core_clock = HICK_VALUE; + break; + } + + /* compute sclk, ahbclk frequency */ + /* get ahb division */ + temp = CRM->cfg_bit.ahbdiv; + div_value = sys_ahb_div_table[temp]; + /* ahbclk frequency */ + system_core_clock = system_core_clock >> div_value; +} + +/** + * @brief take some delay for waiting power stable, delay is about 60ms with frequency 8MHz. + * @param none + * @retval none + */ +void wait_for_power_stable(void) +{ + volatile uint32_t delay = 0; + for(delay = 0; delay < 50000; delay++); +} + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + diff --git a/Firmware/cmsis/cm4/device_support/system_at32a423.h b/Firmware/cmsis/cm4/device_support/system_at32a423.h new file mode 100644 index 0000000..a170664 --- /dev/null +++ b/Firmware/cmsis/cm4/device_support/system_at32a423.h @@ -0,0 +1,76 @@ +/** + ************************************************************************** + * @file system_at32a423.h + * @brief cmsis cortex-m4 system header file. + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#ifndef __SYSTEM_AT32A423_H +#define __SYSTEM_AT32A423_H + +#ifdef __cplusplus +extern "C" { +#endif + +/** @addtogroup CMSIS + * @{ + */ + +/** @addtogroup AT32A423_system + * @{ + */ + +#define SystemCoreClock system_core_clock + +/** @defgroup AT32A423_system_exported_variables + * @{ + */ +extern unsigned int system_core_clock; /*!< system clock frequency (core clock) */ + +/** + * @} + */ + +/** @defgroup AT32A423_system_exported_functions + * @{ + */ + +extern void SystemInit(void); +extern void system_core_clock_update(void); +extern void wait_for_power_stable(void); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif + diff --git a/Firmware/cmsis/dsp/ComputeLibrary/Include/NEMath.h b/Firmware/cmsis/dsp/ComputeLibrary/Include/NEMath.h new file mode 100644 index 0000000..bb32303 --- /dev/null +++ b/Firmware/cmsis/dsp/ComputeLibrary/Include/NEMath.h @@ -0,0 +1,414 @@ +/* + * Copyright (c) 2016, 2019 ARM Limited. + * + * SPDX-License-Identifier: MIT + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to + * deal in the Software without restriction, including without limitation the + * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or + * sell copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in all + * copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ +#ifndef __ARM_COMPUTE_NEMATH_H__ +#define __ARM_COMPUTE_NEMATH_H__ + + +#if defined(ARM_MATH_NEON) +/** Calculate floor of a vector. + * + * @param[in] val Input vector value in F32 format. + * + * @return The calculated floor vector. + */ +static inline float32x4_t vfloorq_f32(float32x4_t val); + +/** Calculate inverse square root. + * + * @param[in] x Input value. + * + * @return The calculated inverse square root. + */ +static inline float32x2_t vinvsqrt_f32(float32x2_t x); + +/** Calculate inverse square root. + * + * @param[in] x Input value. + * + * @return The calculated inverse square root. + */ +static inline float32x4_t vinvsqrtq_f32(float32x4_t x); + +/** Calculate reciprocal. + * + * @param[in] x Input value. + * + * @return The calculated reciprocal. + */ +static inline float32x2_t vinv_f32(float32x2_t x); + +/** Calculate reciprocal. + * + * @param[in] x Input value. + * + * @return The calculated reciprocal. + */ +static inline float32x4_t vinvq_f32(float32x4_t x); + +/** Perform a 7th degree polynomial approximation using Estrin's method. + * + * @param[in] x Input vector value in F32 format. + * @param[in] coeffs Polynomial coefficients table. (array of flattened float32x4_t vectors) + * + * @return The calculated approximation. + */ +static inline float32x4_t vtaylor_polyq_f32(float32x4_t x, const float32_t *coeffs); + +/** Calculate exponential + * + * @param[in] x Input vector value in F32 format. + * + * @return The calculated exponent. + */ +static inline float32x4_t vexpq_f32(float32x4_t x); + +/** Calculate logarithm + * + * @param[in] x Input vector value in F32 format. + * + * @return The calculated logarithm. + */ +static inline float32x4_t vlogq_f32(float32x4_t x); + +/** Calculate hyperbolic tangent. + * + * tanh(x) = (e^2x - 1)/(e^2x + 1) + * + * @note We clamp x to [-5,5] to avoid overflowing issues. + * + * @param[in] val Input vector value in F32 format. + * + * @return The calculated Hyperbolic Tangent. + */ +static inline float32x4_t vtanhq_f32(float32x4_t val); + +/** Calculate n power of a number. + * + * pow(x,n) = e^(n*log(x)) + * + * @param[in] val Input vector value in F32 format. + * @param[in] n Powers to raise the input to. + * + * @return The calculated power. + */ +static inline float32x4_t vpowq_f32(float32x4_t val, float32x4_t n); + +#ifdef __ARM_FEATURE_FP16_VECTOR_ARITHMETIC +/** Calculate hyperbolic tangent. + * + * tanh(x) = (e^2x - 1)/(e^2x + 1) + * + * @note We clamp x to [-5,5] to avoid overflowing issues. + * + * @param[in] val Input vector value in F32 format. + * + * @return The calculated Hyperbolic Tangent. + */ +static inline float16x8_t vtanhq_f16(float16x8_t val); + +/** Calculate reciprocal. + * + * @param[in] x Input value. + * + * @return The calculated reciprocal. + */ +static inline float16x4_t vinv_f16(float16x4_t x); + +/** Calculate reciprocal. + * + * @param[in] x Input value. + * + * @return The calculated reciprocal. + */ +static inline float16x8_t vinvq_f16(float16x8_t x); + +/** Calculate inverse square root. + * + * @param[in] x Input value. + * + * @return The calculated inverse square root. + */ +static inline float16x4_t vinvsqrt_f16(float16x4_t x); + +/** Calculate inverse square root. + * + * @param[in] x Input value. + * + * @return The calculated inverse square root. + */ +static inline float16x8_t vinvsqrtq_f16(float16x8_t x); + +/** Calculate exponential + * + * @param[in] x Input vector value in F16 format. + * + * @return The calculated exponent. + */ +static inline float16x8_t vexpq_f16(float16x8_t x); + +/** Calculate n power of a number. + * + * pow(x,n) = e^(n*log(x)) + * + * @param[in] val Input vector value in F16 format. + * @param[in] n Powers to raise the input to. + * + * @return The calculated power. + */ +static inline float16x8_t vpowq_f16(float16x8_t val, float16x8_t n); +#endif /* __ARM_FEATURE_FP16_VECTOR_ARITHMETIC */ + +/** Exponent polynomial coefficients */ +extern const float32_t exp_tab[4*8]; + + +/** Logarithm polynomial coefficients */ +extern const float32_t log_tab[4*8]; + +#ifndef DOXYGEN_SKIP_THIS +inline float32x4_t vfloorq_f32(float32x4_t val) +{ + static const float32_t CONST_1[4] = {1.f,1.f,1.f,1.f}; + + const int32x4_t z = vcvtq_s32_f32(val); + const float32x4_t r = vcvtq_f32_s32(z); + + return vbslq_f32(vcgtq_f32(r, val), vsubq_f32(r, vld1q_f32(CONST_1)), r); +} + +inline float32x2_t vinvsqrt_f32(float32x2_t x) +{ + float32x2_t sqrt_reciprocal = vrsqrte_f32(x); + sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + sqrt_reciprocal = vmul_f32(vrsqrts_f32(vmul_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + + return sqrt_reciprocal; +} + +inline float32x4_t vinvsqrtq_f32(float32x4_t x) +{ + float32x4_t sqrt_reciprocal = vrsqrteq_f32(x); + sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + sqrt_reciprocal = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + + return sqrt_reciprocal; +} + +inline float32x2_t vinv_f32(float32x2_t x) +{ + float32x2_t recip = vrecpe_f32(x); + recip = vmul_f32(vrecps_f32(x, recip), recip); + recip = vmul_f32(vrecps_f32(x, recip), recip); + return recip; +} + +inline float32x4_t vinvq_f32(float32x4_t x) +{ + float32x4_t recip = vrecpeq_f32(x); + recip = vmulq_f32(vrecpsq_f32(x, recip), recip); + recip = vmulq_f32(vrecpsq_f32(x, recip), recip); + return recip; +} + +inline float32x4_t vtaylor_polyq_f32(float32x4_t x, const float32_t *coeffs) +{ + float32x4_t A = vmlaq_f32(vld1q_f32(&coeffs[4*0]), vld1q_f32(&coeffs[4*4]), x); + float32x4_t B = vmlaq_f32(vld1q_f32(&coeffs[4*2]), vld1q_f32(&coeffs[4*6]), x); + float32x4_t C = vmlaq_f32(vld1q_f32(&coeffs[4*1]), vld1q_f32(&coeffs[4*5]), x); + float32x4_t D = vmlaq_f32(vld1q_f32(&coeffs[4*3]), vld1q_f32(&coeffs[4*7]), x); + float32x4_t x2 = vmulq_f32(x, x); + float32x4_t x4 = vmulq_f32(x2, x2); + float32x4_t res = vmlaq_f32(vmlaq_f32(A, B, x2), vmlaq_f32(C, D, x2), x4); + return res; +} + +inline float32x4_t vexpq_f32(float32x4_t x) +{ + static const float32_t CONST_LN2[4] = {0.6931471805f,0.6931471805f,0.6931471805f,0.6931471805f}; // ln(2) + static const float32_t CONST_INV_LN2[4] = {1.4426950408f,1.4426950408f,1.4426950408f,1.4426950408f}; // 1/ln(2) + static const float32_t CONST_0[4] = {0.f,0.f,0.f,0.f}; + static const int32_t CONST_NEGATIVE_126[4] = {-126,-126,-126,-126}; + + // Perform range reduction [-log(2),log(2)] + int32x4_t m = vcvtq_s32_f32(vmulq_f32(x, vld1q_f32(CONST_INV_LN2))); + float32x4_t val = vmlsq_f32(x, vcvtq_f32_s32(m), vld1q_f32(CONST_LN2)); + + // Polynomial Approximation + float32x4_t poly = vtaylor_polyq_f32(val, exp_tab); + + // Reconstruct + poly = vreinterpretq_f32_s32(vqaddq_s32(vreinterpretq_s32_f32(poly), vqshlq_n_s32(m, 23))); + poly = vbslq_f32(vcltq_s32(m, vld1q_s32(CONST_NEGATIVE_126)), vld1q_f32(CONST_0), poly); + + return poly; +} + +inline float32x4_t vlogq_f32(float32x4_t x) +{ + static const int32_t CONST_127[4] = {127,127,127,127}; // 127 + static const float32_t CONST_LN2[4] = {0.6931471805f,0.6931471805f,0.6931471805f,0.6931471805f}; // ln(2) + + // Extract exponent + int32x4_t m = vsubq_s32(vreinterpretq_s32_u32(vshrq_n_u32(vreinterpretq_u32_f32(x), 23)), vld1q_s32(CONST_127)); + float32x4_t val = vreinterpretq_f32_s32(vsubq_s32(vreinterpretq_s32_f32(x), vshlq_n_s32(m, 23))); + + // Polynomial Approximation + float32x4_t poly = vtaylor_polyq_f32(val, log_tab); + + // Reconstruct + poly = vmlaq_f32(poly, vcvtq_f32_s32(m), vld1q_f32(CONST_LN2)); + + return poly; +} + +inline float32x4_t vtanhq_f32(float32x4_t val) +{ + static const float32_t CONST_1[4] = {1.f,1.f,1.f,1.f}; + static const float32_t CONST_2[4] = {2.f,2.f,2.f,2.f}; + static const float32_t CONST_MIN_TANH[4] = {-10.f,-10.f,-10.f,-10.f}; + static const float32_t CONST_MAX_TANH[4] = {10.f,10.f,10.f,10.f}; + + float32x4_t x = vminq_f32(vmaxq_f32(val, vld1q_f32(CONST_MIN_TANH)), vld1q_f32(CONST_MAX_TANH)); + float32x4_t exp2x = vexpq_f32(vmulq_f32(vld1q_f32(CONST_2), x)); + float32x4_t num = vsubq_f32(exp2x, vld1q_f32(CONST_1)); + float32x4_t den = vaddq_f32(exp2x, vld1q_f32(CONST_1)); + float32x4_t tanh = vmulq_f32(num, vinvq_f32(den)); + return tanh; +} + +inline float32x4_t vpowq_f32(float32x4_t val, float32x4_t n) +{ + return vexpq_f32(vmulq_f32(n, vlogq_f32(val))); +} +#endif /* DOXYGEN_SKIP_THIS */ + +#ifdef __ARM_FEATURE_FP16_VECTOR_ARITHMETIC +/** Exponent polynomial coefficients */ +/** Logarithm polynomial coefficients */ +#ifndef DOXYGEN_SKIP_THIS +inline float16x8_t vfloorq_f16(float16x8_t val) +{ + static const float16_t CONST_1[8] = {1.f,1.f,1.f,1.f,1.f,1.f,1.f,1.f}; + + const int16x8_t z = vcvtq_s16_f16(val); + const float16x8_t r = vcvtq_f16_s16(z); + + return vbslq_f16(vcgtq_f16(r, val), vsubq_f16(r, vld1q_f16(CONST_1)), r); +} +inline float16x4_t vinvsqrt_f16(float16x4_t x) +{ + float16x4_t sqrt_reciprocal = vrsqrte_f16(x); + sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + sqrt_reciprocal = vmul_f16(vrsqrts_f16(vmul_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + return sqrt_reciprocal; +} + +inline float16x8_t vinvsqrtq_f16(float16x8_t x) +{ + float16x8_t sqrt_reciprocal = vrsqrteq_f16(x); + sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + sqrt_reciprocal = vmulq_f16(vrsqrtsq_f16(vmulq_f16(x, sqrt_reciprocal), sqrt_reciprocal), sqrt_reciprocal); + return sqrt_reciprocal; +} + +inline float16x4_t vinv_f16(float16x4_t x) +{ + float16x4_t recip = vrecpe_f16(x); + recip = vmul_f16(vrecps_f16(x, recip), recip); + recip = vmul_f16(vrecps_f16(x, recip), recip); + return recip; +} + +inline float16x8_t vinvq_f16(float16x8_t x) +{ + float16x8_t recip = vrecpeq_f16(x); + recip = vmulq_f16(vrecpsq_f16(x, recip), recip); + recip = vmulq_f16(vrecpsq_f16(x, recip), recip); + return recip; +} + +inline float16x8_t vtanhq_f16(float16x8_t val) +{ + const float16_t CONST_1[8] = {1.f,1.f,1.f,1.f,1.f,1.f,1.f,1.f}; + const float16_t CONST_2[8] = {2.f,2.f,2.f,2.f,2.f,2.f,2.f,2.f}; + const float16_t CONST_MIN_TANH[8] = {-10.f,-10.f,-10.f,-10.f,-10.f,-10.f,-10.f,-10.f}; + const float16_t CONST_MAX_TANH[8] = {10.f,10.f,10.f,10.f,10.f,10.f,10.f,10.f}; + + const float16x8_t x = vminq_f16(vmaxq_f16(val, vld1q_f16(CONST_MIN_TANH)), vld1q_f16(CONST_MAX_TANH)); + const float16x8_t exp2x = vexpq_f16(vmulq_f16(vld1q_f16(CONST_2), x)); + const float16x8_t num = vsubq_f16(exp2x, vld1q_f16(CONST_1)); + const float16x8_t den = vaddq_f16(exp2x, vld1q_f16(CONST_1)); + const float16x8_t tanh = vmulq_f16(num, vinvq_f16(den)); + return tanh; +} + +inline float16x8_t vtaylor_polyq_f16(float16x8_t x, const float16_t *coeffs) +{ + const float16x8_t A = vaddq_f16(&coeffs[8*0], vmulq_f16(&coeffs[8*4], x)); + const float16x8_t B = vaddq_f16(&coeffs[8*2], vmulq_f16(&coeffs[8*6], x)); + const float16x8_t C = vaddq_f16(&coeffs[8*1], vmulq_f16(&coeffs[8*5], x)); + const float16x8_t D = vaddq_f16(&coeffs[8*3], vmulq_f16(&coeffs[8*7], x)); + const float16x8_t x2 = vmulq_f16(x, x); + const float16x8_t x4 = vmulq_f16(x2, x2); + const float16x8_t res = vaddq_f16(vaddq_f16(A, vmulq_f16(B, x2)), vmulq_f16(vaddq_f16(C, vmulq_f16(D, x2)), x4)); + return res; +} + +inline float16x8_t vexpq_f16(float16x8_t x) +{ + // TODO (COMPMID-1535) : Revisit FP16 approximations + const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x)); + const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x)); + + const float16x8_t res = vcvt_high_f16_f32(vcvt_f16_f32(vexpq_f32(x_low)), vexpq_f32(x_high)); + return res; +} + +inline float16x8_t vlogq_f16(float16x8_t x) +{ + // TODO (COMPMID-1535) : Revisit FP16 approximations + const float32x4_t x_high = vcvt_f32_f16(vget_high_f16(x)); + const float32x4_t x_low = vcvt_f32_f16(vget_low_f16(x)); + + const float16x8_t res = vcvt_high_f16_f32(vcvt_f16_f32(vlogq_f32(x_low)), vlogq_f32(x_high)); + return res; +} + +inline float16x8_t vpowq_f16(float16x8_t val, float16x8_t n) +{ + // TODO (giaiod01) - COMPMID-1535 + float32x4_t n0_f32 = vcvt_f32_f16(vget_low_f16(n)); + float32x4_t n1_f32 = vcvt_f32_f16(vget_high_f16(n)); + float32x4_t val0_f32 = vcvt_f32_f16(vget_low_f16(val)); + float32x4_t val1_f32 = vcvt_f32_f16(vget_high_f16(val)); + + float32x4_t res0_f32 = vexpq_f32(vmulq_f32(n0_f32, vlogq_f32(val0_f32))); + float32x4_t res1_f32 = vexpq_f32(vmulq_f32(n1_f32, vlogq_f32(val1_f32))); + + return vcombine_f16(vcvt_f16_f32(res0_f32), vcvt_f16_f32(res1_f32)); +} +#endif /* DOXYGEN_SKIP_THIS */ +#endif /* __ARM_FEATURE_FP16_VECTOR_ARITHMETIC */ +#endif +#endif /* __ARM_COMPUTE_NEMATH_H__ */ diff --git a/Firmware/cmsis/dsp/ComputeLibrary/LICENSE.txt b/Firmware/cmsis/dsp/ComputeLibrary/LICENSE.txt new file mode 100644 index 0000000..5429278 --- /dev/null +++ b/Firmware/cmsis/dsp/ComputeLibrary/LICENSE.txt @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2017-2019 ARM Software + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/Firmware/cmsis/dsp/ComputeLibrary/README.md b/Firmware/cmsis/dsp/ComputeLibrary/README.md new file mode 100644 index 0000000..9c35076 --- /dev/null +++ b/Firmware/cmsis/dsp/ComputeLibrary/README.md @@ -0,0 +1,19 @@ +README +====== + +This folder is containing two files imported, and slightly modified, from the ComputeLibrary: + + NEMath.h and arm_cl_tables.c + +In the original compute library, there are instead two other files: + + NEMath.h and NEMath.inl + +NEMath.inl is included from NEMath.h whereas in this CMSIS DSP implementation, there is no NEMath.inl and its content is copied into NEMath.h + +The tables contained in NEMath.inl have been moved to arm_cl_tables.c and finally the files are in C for the CMSIS DSP library and in C++ in the original Compute Library. + +Otherwise, the features and implementations are the same : a few optimized Neon functions. + +The license covering those files is different : It is a MIT license. +Other parts of the CMSIS-DSP are covered with an Apache-2.0 license. diff --git a/Firmware/cmsis/dsp/ComputeLibrary/Source/arm_cl_tables.c b/Firmware/cmsis/dsp/ComputeLibrary/Source/arm_cl_tables.c new file mode 100644 index 0000000..bdd39a6 --- /dev/null +++ b/Firmware/cmsis/dsp/ComputeLibrary/Source/arm_cl_tables.c @@ -0,0 +1,55 @@ +/* + * Copyright (c) 2016, 2019 ARM Limited. + * + * SPDX-License-Identifier: MIT + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to + * deal in the Software without restriction, including without limitation the + * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or + * sell copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in all + * copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ +#include "arm_math.h" +#include "NEMath.h" + +#if defined(ARM_MATH_NEON) + +/** Exponent polynomial coefficients */ +const float32_t exp_tab[4*8] = +{ + 1.f,1.f,1.f,1.f, + 0.0416598916054f,0.0416598916054f,0.0416598916054f,0.0416598916054f, + 0.500000596046f,0.500000596046f,0.500000596046f,0.500000596046f, + 0.0014122662833f,0.0014122662833f,0.0014122662833f,0.0014122662833f, + 1.00000011921f,1.00000011921f,1.00000011921f,1.00000011921f, + 0.00833693705499f,0.00833693705499f,0.00833693705499f,0.00833693705499f, + 0.166665703058f,0.166665703058f,0.166665703058f,0.166665703058f, + 0.000195780929062f,0.000195780929062f,0.000195780929062f,0.000195780929062f +}; + +/** Logarithm polynomial coefficients */ +const float32_t log_tab[4*8] = +{ + -2.29561495781f,-2.29561495781f,-2.29561495781f,-2.29561495781f, + -2.47071170807f,-2.47071170807f,-2.47071170807f,-2.47071170807f, + -5.68692588806f,-5.68692588806f,-5.68692588806f,-5.68692588806f, + -0.165253549814f,-0.165253549814f,-0.165253549814f,-0.165253549814f, + 5.17591238022f,5.17591238022f,5.17591238022f,5.17591238022f, + 0.844007015228f,0.844007015228f,0.844007015228f,0.844007015228f, + 4.58445882797f,4.58445882797f,4.58445882797f,4.58445882797f, + 0.0141278216615f,0.0141278216615f,0.0141278216615f,0.0141278216615f +}; + +#endif diff --git a/Firmware/cmsis/dsp/PrivateInclude/arm_sorting.h b/Firmware/cmsis/dsp/PrivateInclude/arm_sorting.h new file mode 100644 index 0000000..91854a4 --- /dev/null +++ b/Firmware/cmsis/dsp/PrivateInclude/arm_sorting.h @@ -0,0 +1,200 @@ +/****************************************************************************** + * @file arm_sorting.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_SORTING_H_ +#define _ARM_SORTING_H_ + +#include "arm_math.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_bubble_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_heap_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_insertion_sort_f32( + const arm_sort_instance_f32 * S, + float32_t *pSrc, + float32_t* pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_quick_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_selection_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_bitonic_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + +#if defined(ARM_MATH_NEON) + +#define vtrn256_128q(a, b) \ +do { \ + float32x4_t vtrn128_temp = a.val[1]; \ + a.val[1] = b.val[0]; \ + b.val[0] = vtrn128_temp ; \ +} while (0) + +#define vtrn128_64q(a, b) \ +do { \ + float32x2_t ab, cd, ef, gh; \ + ab = vget_low_f32(a); \ + ef = vget_low_f32(b); \ + cd = vget_high_f32(a); \ + gh = vget_high_f32(b); \ + a = vcombine_f32(ab, ef); \ + b = vcombine_f32(cd, gh); \ +} while (0) + +#define vtrn256_64q(a, b) \ +do { \ + float32x2_t a_0, a_1, a_2, a_3; \ + float32x2_t b_0, b_1, b_2, b_3; \ + a_0 = vget_low_f32(a.val[0]); \ + a_1 = vget_high_f32(a.val[0]); \ + a_2 = vget_low_f32(a.val[1]); \ + a_3 = vget_high_f32(a.val[1]); \ + b_0 = vget_low_f32(b.val[0]); \ + b_1 = vget_high_f32(b.val[0]); \ + b_2 = vget_low_f32(b.val[1]); \ + b_3 = vget_high_f32(b.val[1]); \ + a.val[0] = vcombine_f32(a_0, b_0); \ + a.val[1] = vcombine_f32(a_2, b_2); \ + b.val[0] = vcombine_f32(a_1, b_1); \ + b.val[1] = vcombine_f32(a_3, b_3); \ +} while (0) + +#define vtrn128_32q(a, b) \ +do { \ + float32x4x2_t vtrn32_tmp = vtrnq_f32((a), (b)); \ + (a) = vtrn32_tmp.val[0]; \ + (b) = vtrn32_tmp.val[1]; \ +} while (0) + +#define vtrn256_32q(a, b) \ +do { \ + float32x4x2_t vtrn32_tmp_1 = vtrnq_f32((a.val[0]), (b.val[0])); \ + float32x4x2_t vtrn32_tmp_2 = vtrnq_f32((a.val[1]), (b.val[1])); \ + a.val[0] = vtrn32_tmp_1.val[0]; \ + a.val[1] = vtrn32_tmp_2.val[0]; \ + b.val[0] = vtrn32_tmp_1.val[1]; \ + b.val[1] = vtrn32_tmp_2.val[1]; \ +} while (0) + +#define vminmaxq(a, b) \ + do { \ + float32x4_t minmax_tmp = (a); \ + (a) = vminq_f32((a), (b)); \ + (b) = vmaxq_f32(minmax_tmp, (b)); \ +} while (0) + +#define vminmax256q(a, b) \ + do { \ + float32x4x2_t minmax256_tmp = (a); \ + a.val[0] = vminq_f32(a.val[0], b.val[0]); \ + a.val[1] = vminq_f32(a.val[1], b.val[1]); \ + b.val[0] = vmaxq_f32(minmax256_tmp.val[0], b.val[0]); \ + b.val[1] = vmaxq_f32(minmax256_tmp.val[1], b.val[1]); \ +} while (0) + +#define vrev128q_f32(a) \ + vcombine_f32(vrev64_f32(vget_high_f32(a)), vrev64_f32(vget_low_f32(a))) + +#define vrev256q_f32(a) \ + do { \ + float32x4_t rev_tmp = vcombine_f32(vrev64_f32(vget_high_f32(a.val[0])), vrev64_f32(vget_low_f32(a.val[0]))); \ + a.val[0] = vcombine_f32(vrev64_f32(vget_high_f32(a.val[1])), vrev64_f32(vget_low_f32(a.val[1]))); \ + a.val[1] = rev_tmp; \ +} while (0) + +#define vldrev128q_f32(a, p) \ + do { \ + a = vld1q_f32(p); \ + a = vrev128q_f32(a); \ +} while (0) + +#endif /* ARM_MATH_NEON */ + +#ifdef __cplusplus +} +#endif + +#endif /* _ARM_SORTING_H */ diff --git a/Firmware/cmsis/dsp/PrivateInclude/arm_vec_fft.h b/Firmware/cmsis/dsp/PrivateInclude/arm_vec_fft.h new file mode 100644 index 0000000..dae1b64 --- /dev/null +++ b/Firmware/cmsis/dsp/PrivateInclude/arm_vec_fft.h @@ -0,0 +1,58 @@ +/****************************************************************************** + * @file arm_vec_fft.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 07. January 2020 + ******************************************************************************/ +/* + * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_FFT_H_ +#define _ARM_VEC_FFT_H_ + +#include "arm_math.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define MVE_CMPLX_ADD_A_ixB(A, B) vcaddq_rot90(A,B) +#define MVE_CMPLX_SUB_A_ixB(A,B) vcaddq_rot270(A,B) +#define MVE_CMPLX_MULT_FLT_AxB(A,B) vcmlaq_rot90(vcmulq(A, B), A, B) +#define MVE_CMPLX_MULT_FLT_Conj_AxB(A,B) vcmlaq_rot270(vcmulq(A, B), A, B) + +#define MVE_CMPLX_MULT_FX_AxB(A,B) vqdmladhxq(vqdmlsdhq((__typeof(A))vuninitializedq_s32(), A, B), A, B); +#define MVE_CMPLX_MULT_FX_AxConjB(A,B) vqdmladhq(vqdmlsdhxq((__typeof(A))vuninitializedq_s32(), A, B), A, B); + +#define MVE_CMPLX_ADD_FX_A_ixB(A, B) vhcaddq_rot90(A,B) +#define MVE_CMPLX_SUB_FX_A_ixB(A,B) vhcaddq_rot270(A,B) + + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_FFT_H_ */ diff --git a/Firmware/cmsis/dsp/PrivateInclude/arm_vec_filtering.h b/Firmware/cmsis/dsp/PrivateInclude/arm_vec_filtering.h new file mode 100644 index 0000000..65fc752 --- /dev/null +++ b/Firmware/cmsis/dsp/PrivateInclude/arm_vec_filtering.h @@ -0,0 +1,1661 @@ +/****************************************************************************** + * @file arm_vec_filtering.h + * @brief Private header file for CMSIS DSP Library + * @version V1.7.0 + * @date 30. October 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_FILTERING_H_ +#define _ARM_VEC_FILTERING_H_ + +#include "arm_math.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, acc2Vec, acc3Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + acc2Vec = vdupq_n_f32(0.0f); \ + acc3Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vldrwq_f32(&pSrcX[2]); \ + acc2Vec = vfmaq_f32(acc2Vec, xVec, yVec); \ + xVec = vldrwq_f32(&pSrcX[3]); \ + acc3Vec = vfmaq_f32(acc3Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vldrwq_f32(&pSrcX[2]); \ + acc2Vec = vfmaq_m_f32(acc2Vec, xVec, yVec, p0); \ + xVec = vldrwq_f32(&pSrcX[3]); \ + acc3Vec = vfmaq_m_f32(acc3Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ + acc2 = vecAddAcrossF32Mve(acc2Vec); \ + acc3 = vecAddAcrossF32Mve(acc3Vec); \ +} + +#define MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count) \ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t accVec, xVec, yVec; \ + uint32_t k; \ + \ + accVec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + accVec = vfmaq_f32(accVec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + accVec = vfmaq_m_f32(accVec, xVec, yVec, p0);\ + } \ + acc = vecAddAcrossF32Mve(accVec); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count)\ +{ \ + float32_t const *pSrcX, *pSrcY; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + pSrcY = (float32_t const *) pY; \ + k = count >> 2; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + yVec = vldrwq_f32(&pSrcY[-1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + yVec = vldrwq_f32(&pSrcY[-1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); \ + pSrcY += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec,p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = (count - 1) >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = (count - 1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + p0 = vctp32q(k+1); \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + xVec = vldrwq_f32(&pSrcX[1]); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + } \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + const float32_t *pY1 = pY + 1; \ + f32x4_t acc0Vec, acc1Vec, xVec, yVec; \ + uint32_t k; \ + \ + acc0Vec = vdupq_n_f32(0.0f); \ + acc1Vec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + acc0Vec = vfmaq_f32(acc0Vec, xVec, yVec); \ + yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \ + pY1-=4; \ + acc1Vec = vfmaq_f32(acc1Vec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + acc0Vec = vfmaq_m_f32(acc0Vec, xVec, yVec, p0); \ + yVec = vldrwq_gather_shifted_offset_f32(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + acc1Vec = vfmaq_m_f32(acc1Vec, xVec, yVec, p0); \ + \ + acc0 = vecAddAcrossF32Mve(acc0Vec); \ + acc1 = vecAddAcrossF32Mve(acc1Vec); \ +} + +#define MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count) \ +{ \ + float32_t const *pSrcX; \ + f32x4_t accVec, xVec, yVec; \ + uint32_t k; \ + \ + accVec = vdupq_n_f32(0.0f); \ + pSrcX = (float32_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + accVec = vfmaq_f32(accVec, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_f32(pY, decrIdxVec); \ + accVec = vfmaq_m_f32(accVec, xVec, yVec, p0); \ + } \ + acc = vecAddAcrossF32Mve(accVec); \ +} + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) + +#define MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 31); \ +} + + + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + const q31_t *pY1 = pY + 1; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \ + pY1-=4; \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrwq_gather_shifted_offset_s32(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count)\ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); \ + pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + + + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q31_t const *pSrcX; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + pY-=4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vldrwq_gather_shifted_offset_s32(pY, decrIdxVec); \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ + acc2 = asrl(acc2, 31); \ + acc3 = asrl(acc3, 31); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_s32(&pSrcY[-1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x4U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vldrwq_s32(&pSrcY[-1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 31); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrwq_s32(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ + acc2 = asrl(acc2, 31); \ + acc3 = asrl(acc3, 31); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = count >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x4U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count) \ +{ \ + q31_t const *pSrcX, *pSrcY; \ + q31x4_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q31_t const *) pX; \ + pSrcY = (q31_t const *) pY; \ + k = (count-1) >> 2; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x4U; \ + mve_pred16_t p0 = vctp32q(k); \ + yVec = vld1q(pSrcY); pSrcY += 4; \ + xVec = vldrwq_s32(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp32q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 4; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 31); \ + acc1 = asrl(acc1, 31); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_s16(&pSrcY[-1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_s16(&pSrcY[-1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 15); \ + acc = __SSAT(acc, 16); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc2 = asrl(acc2, 15); \ + acc3 = asrl(acc3, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ + acc2 = __SSAT(acc2, 16); \ + acc3 = __SSAT(acc3, 16); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX, *pSrcY; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + pSrcY = (q15_t const *) pY; \ + k = (count-1) >> 3; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x8U; \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vld1q(pSrcY); pSrcY += 8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + const q15_t *pY1 = pY + 1; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \ + pY1-=8; \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrhq_gather_shifted_offset_s16(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc = vmlaldavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + acc = vmlaldavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = asrl(acc, 15); \ + acc = __SSAT(acc, 16); \ +} + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq(acc2, xVec, yVec); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[2]); \ + acc2 = vmlaldavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrhq_s16(&pSrcX[3]); \ + acc3 = vmlaldavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc2 = asrl(acc2, 15); \ + acc3 = asrl(acc3, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ + acc2 = __SSAT(acc2, 16); \ + acc3 = __SSAT(acc3, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = count >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x8U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count) \ +{ \ + q15_t const *pSrcX; \ + q15x8_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q15_t const *) pX; \ + k = (count-1) >> 3; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + pY-=8; \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x8U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp16q(k); \ + yVec = vldrhq_gather_shifted_offset_s16(pY, decrIdxVec); \ + xVec = vldrhq_s16(&pSrcX[1]); \ + acc1 = vmlaldavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp16q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 8; \ + acc0 = vmlaldavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = asrl(acc0, 15); \ + acc1 = asrl(acc1, 15); \ + acc0 = __SSAT(acc0, 16); \ + acc1 = __SSAT(acc1, 16); \ +} + +#define MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_s8(&pSrcY[-1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_s8(&pSrcY[-1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec,p0); \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec,p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc = vmladavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + acc = vmladavaq_p(acc, xVec, yVec, p0); \ + } \ + acc =(acc >> 7); \ + acc = __SSAT(acc, 8); \ +} + +#define MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq(acc2, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc2 = (acc2 >> 7); \ + acc3 = (acc3 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ + acc2 = __SSAT(acc2, 8); \ + acc3 = __SSAT(acc3, 8); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* loop + tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX, *pSrcY; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + pSrcY = (q7_t const *) pY; \ + k = (count-1) >> 4; \ + \ + while (k > 0U) \ + { \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + k = (count-1) % 0x10U; \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vld1q(pSrcY); pSrcY += 16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + const q7_t *pY1 = pY + 1; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \ + pY1-=16; \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = count % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc0 requires exact number of sample */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + yVec = vldrbq_gather_offset_s8(pY1, decrIdxVec); \ + /* acc1 requires 1 additional sample */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#define MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc = vmladavaq(acc, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + acc = vmladavaq_p(acc, xVec, yVec, p0); \ + } \ + acc = __SSAT(acc >> 7, 8); \ +} + +#define MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq(acc2, xVec, yVec); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq(acc3, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[2]); \ + acc2 = vmladavaq_p(acc2, xVec, yVec, p0); \ + xVec = vldrbq_s8(&pSrcX[3]); \ + acc3 = vmladavaq_p(acc3, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = __SSAT(acc0 >> 7, 8); \ + acc1 = __SSAT(acc1 >> 7, 8); \ + acc2 = __SSAT(acc2 >> 7, 8); \ + acc3 = __SSAT(acc3 >> 7, 8); \ +} + +#define MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = count >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + /* Loop with tail predication expected here */ \ + k = count % 0x10U; \ + if (k > 0U) \ + { \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + } \ + acc0 = __SSAT(acc0 >> 7, 8); \ + acc1 = __SSAT(acc1 >> 7, 8); \ +} + + +#define MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count) \ +{ \ + q7_t const *pSrcX; \ + q7x16_t xVec, yVec; \ + uint32_t k; \ + \ + pSrcX = (q7_t const *) pX; \ + k = (count-1) >> 4; \ + \ + while (k > 0U) \ + { \ + /* note */ \ + /* could can be more efficient using Vector Scatter Store: */ \ + /* + pre-increment + WB */ \ + /* To be revisited when intrinsic available */ \ + /* SDCOMP-52618 */ \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + pY-=16; \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq(acc1, xVec, yVec); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq(acc0, xVec, yVec); \ + /* Decrement the loop counter */ \ + k--; \ + } \ + k = (count - 1) % 0x10U; \ + /* use predication to finalize MAC sum */ \ + /* acc1 requires exact number of sample (count-1) */ \ + /* disable extra lanes in final MAC computation */ \ + mve_pred16_t p0 = vctp8q(k); \ + yVec = vldrbq_gather_offset_s8(pY, decrIdxVec); \ + xVec = vldrbq_s8(&pSrcX[1]); \ + acc1 = vmladavaq_p(acc1, xVec, yVec, p0); \ + /* acc0 requires 1 additional sample (count) */ \ + /* so add 1 to unmask an extra lane in final MAC computation */ \ + p0 = vctp8q(k+1); \ + xVec = vld1q(pSrcX); pSrcX += 16; \ + acc0 = vmladavaq_p(acc0, xVec, yVec, p0); \ + \ + acc0 = (acc0 >> 7); \ + acc1 = (acc1 >> 7); \ + acc0 = __SSAT(acc0, 8); \ + acc1 = __SSAT(acc1, 8); \ +} + +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_FILTERING_H_ */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/BasicMathFunctions.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/BasicMathFunctions.c new file mode 100644 index 0000000..3532f78 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/BasicMathFunctions.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BasicMathFunctions.c + * Description: Combination of all basic math function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_abs_f32.c" +#include "arm_abs_q15.c" +#include "arm_abs_q31.c" +#include "arm_abs_q7.c" +#include "arm_add_f32.c" +#include "arm_add_q15.c" +#include "arm_add_q31.c" +#include "arm_add_q7.c" +#include "arm_and_u16.c" +#include "arm_and_u32.c" +#include "arm_and_u8.c" +#include "arm_dot_prod_f32.c" +#include "arm_dot_prod_q15.c" +#include "arm_dot_prod_q31.c" +#include "arm_dot_prod_q7.c" +#include "arm_mult_f32.c" +#include "arm_mult_q15.c" +#include "arm_mult_q31.c" +#include "arm_mult_q7.c" +#include "arm_negate_f32.c" +#include "arm_negate_q15.c" +#include "arm_negate_q31.c" +#include "arm_negate_q7.c" +#include "arm_not_u16.c" +#include "arm_not_u32.c" +#include "arm_not_u8.c" +#include "arm_offset_f32.c" +#include "arm_offset_q15.c" +#include "arm_offset_q31.c" +#include "arm_offset_q7.c" +#include "arm_or_u16.c" +#include "arm_or_u32.c" +#include "arm_or_u8.c" +#include "arm_scale_f32.c" +#include "arm_scale_q15.c" +#include "arm_scale_q31.c" +#include "arm_scale_q7.c" +#include "arm_shift_q15.c" +#include "arm_shift_q31.c" +#include "arm_shift_q7.c" +#include "arm_sub_f32.c" +#include "arm_sub_q15.c" +#include "arm_sub_q31.c" +#include "arm_sub_q7.c" +#include "arm_xor_u16.c" +#include "arm_xor_u32.c" +#include "arm_xor_u8.c" diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/BasicMathFunctions/CMakeLists.txt new file mode 100644 index 0000000..ee3e215 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPBasicMath) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPBasicMath STATIC ${SRC}) + +configLib(CMSISDSPBasicMath ${ROOT}) +configDsp(CMSISDSPBasicMath ${ROOT}) + +### Includes +target_include_directories(CMSISDSPBasicMath PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_f32.c new file mode 100644 index 0000000..a70e700 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_f32.c + * Description: Floating-point vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicAbs Vector Absolute Value + + Computes the absolute value of a vector on an element-by-element basis. + + 
+      pDst[n] = abs(pSrc[n]),   0 <= n < blockSize.
+
+ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Floating-point vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vabsq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrc); + vstrwq_p(pDst, vabsq(vec1), p0); + } + +} + +#else +void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vabsq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute and store result in destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicAbs group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q15.c new file mode 100644 index 0000000..854fbd9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q15.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q15.c + * Description: Q15 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q15 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicAbs group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q31.c new file mode 100644 index 0000000..59ef7fe --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q31.c @@ -0,0 +1,208 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q31.c + * Description: Q31 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q31 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * Tail + */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary variable */ + +#if defined(ARM_MATH_NEON) + int32x4_t vec1; + int32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute and then store the results in the destination buffer. */ + + vec1 = vld1q_s32(pSrc); + res = vqabsq_s32(vec1); + vst1q_s32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined (ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined (ARM_MATH_MVEI) */ +/** + @} end of BasicAbs group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q7.c new file mode 100644 index 0000000..e016286 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_abs_q7.c @@ -0,0 +1,180 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q7.c + * Description: Q7 vector absolute value + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAbs + @{ + */ + +/** + @brief Q7 vector absolute value. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Conditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = |A| + * Calculate absolute and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqabsq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqabsq(vecSrc), p0); + } +} + +#else +void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q7_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t)__QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = (in > 0) ? in : (q7_t) __QSUB8(0, in); +#else + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicAbs group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_f32.c new file mode 100644 index 0000000..ebf6d7e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_f32.c @@ -0,0 +1,199 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_f32.c + * Description: Floating-point vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicAdd Vector Addition + + Element-by-element addition of two vectors. + + 
+      pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.
+
+ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Floating-point vector addition. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vaddq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vaddq(vec1,vec2), p0); + } + +} + +#else +void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vaddq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q15.c new file mode 100644 index 0000000..ff8ae06 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q15.c @@ -0,0 +1,176 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q15.c + * Description: Q15 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q15 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* Add and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QADD16(inA1, inB1)); + write_q15x2_ia (&pDst, __QADD16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q31.c new file mode 100644 index 0000000..06937e7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q31.c + * Description: Q31 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q31 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqaddq(vecA, vecB), p0); + } +} + +#else +void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q7.c new file mode 100644 index 0000000..8836c85 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_add_q7.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q7.c + * Description: Q7 vector addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicAdd + @{ + */ + +/** + @brief Q7 vector addition. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqaddq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqaddq(vecA, vecB), p0); + } +} +#else +void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + +#if defined (ARM_MATH_DSP) + /* Add and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8 (read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB))); +#else + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ + *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of BasicAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u16.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u16.c new file mode 100644 index 0000000..684df9a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u16.c + * Description: uint16_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup And Vector bitwise AND + + Compute the logical bitwise AND. + + There are separate functions for uint32_t, uint16_t, and uint7_t data types. + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vandq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vandq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u32.c new file mode 100644 index 0000000..0a02744 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u32.c + * Description: uint32_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vandq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vandq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u8.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u8.c new file mode 100644 index 0000000..00f72ec --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_and_u8.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_and_u8.c + * Description: uint8_t bitwise AND + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + + +/** + @addtogroup And + @{ + */ + +/** + @brief Compute the logical bitwise AND of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vandq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vandq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vandq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)&(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of And group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_f32.c new file mode 100644 index 0000000..3d4388f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_f32.c @@ -0,0 +1,226 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f32.c + * Description: Floating-point dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicDotProd Vector Dot Product + + Computes the dot product of two vectors. + The vectors are multiplied element-by-element and then summed. + + 
+      sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
+
+ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of floating-point vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + f32x4_t vecA, vecB; + f32x4_t vecSum; + uint32_t blkCnt; + float32_t sum = 0.0f; + vecSum = vdupq_n_f32(0.0f); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + * and advance vector source and destination pointers + */ + vecA = vld1q(pSrcA); + pSrcA += 4; + + vecB = vld1q(pSrcB); + pSrcB += 4; + + vecSum = vfmaq(vecSum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt --; + } + + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vecSum = vfmaq_m(vecSum, vecA, vecB, p0); + } + + sum = vecAddAcrossF32Mve(vecSum); + + /* Store result in destination buffer */ + *result = sum; + +} + +#else + +void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary return variable */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t accum = vdupq_n_f32(0); + f32x2_t tmp = vdup_n_f32(0); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + while (blkCnt > 0U) + { + /* C = A[0]*B[0] + A[1]*B[1] + A[2]*B[2] + ... + A[blockSize-1]*B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + + accum = vmlaq_f32(accum, vec1, vec2); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + + /* Decrement the loop counter */ + blkCnt--; + } + +#if __aarch64__ + sum = vpadds_f32(vpadd_f32(vget_low_f32(accum), vget_high_f32(accum))); +#else + tmp = vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)); + sum = vget_lane_f32(tmp, 0) + vget_lane_f32(tmp, 1); + +#endif + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer */ + *result = sum; +} + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of BasicDotProd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q15.c new file mode 100644 index 0000000..7a6a525 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q15.c @@ -0,0 +1,172 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q15.c + * Description: Q15 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q15 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these + results are added to a 64-bit accumulator in 34.30 format. + Nonsaturating additions are used and given that there are 33 guard bits in the accumulator + there is no risk of overflow. + The return result is in 34.30 format. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + q63_t sum = 0LL; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmlaldavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} + +#else +void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* Calculate dot product and store result in a temporary buffer. */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum); + sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum); +#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLALD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 34.30 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q31.c new file mode 100644 index 0000000..0606f94 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q31.c @@ -0,0 +1,174 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q31.c + * Description: Q31 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q31 vectors. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[in] blockSize number of samples in each vector. + @param[out] result output result returned here. + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these + are truncated to 2.48 format by discarding the lower 14 bits. + The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + There are 15 guard bits in the accumulator and there is no risk of overflow as long as + the length of the vectors is less than 2^16 elements. + The return result is in 16.48 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA; + q31x4_t vecB; + q63_t sum = 0LL; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vrmlaldavhaq_p(sum, vecA, vecB, p0); + } + + /* + * vrmlaldavhaq provides extra intermediate accumulator headroom. + * limiting the need of intermediate scaling + * Scalar variant uses 2.48 accu format by right shifting accumulators by 14. + * 16.48 output conversion is performed outside the loop by scaling accu. by 6 + */ + *result = asrl(sum, (14 - 8)); +} + +#else +void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ + sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 16.48 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q7.c new file mode 100644 index 0000000..dff7ece --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_dot_prod_q7.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q7.c + * Description: Q7 dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicDotProd + @{ + */ + +/** + @brief Dot product of Q7 vectors. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] blockSize number of samples in each vector + @param[out] result output result returned here + @return none + + @par Scaling and Overflow Behavior + The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these + results are added to an accumulator in 18.14 format. + Nonsaturating additions are used and there is no danger of wrap around as long as + the vectors are less than 2^18 elements long. + The return result is in 18.14 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + q31_t sum = 0; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] + * Calculate dot product and then store the result in a temporary buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq(sum, vecA, vecB); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + sum = vmladavaq_p(sum, vecA, vecB, p0); + } + + *result = sum; +} +#else +void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary return variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t input1, input2; /* Temporary variables */ + q31_t inA1, inA2, inB1, inB2; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + +#if defined (ARM_MATH_DSP) + /* read 4 samples at a time from sourceA */ + input1 = read_q7x4_ia ((q7_t **) &pSrcA); + /* read 4 samples at a time from sourceB */ + input2 = read_q7x4_ia ((q7_t **) &pSrcB); + + /* extract two q7_t samples to q15_t samples */ + inA1 = __SXTB16(__ROR(input1, 8)); + /* extract reminaing two samples */ + inA2 = __SXTB16(input1); + /* extract two q7_t samples to q15_t samples */ + inB1 = __SXTB16(__ROR(input2, 8)); + /* extract reminaing two samples */ + inB2 = __SXTB16(input2); + + /* multiply and accumulate two samples at a time */ + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); +#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + + /* Calculate dot product and store result in a temporary buffer. */ +//#if defined (ARM_MATH_DSP) +// sum = __SMLAD(*pSrcA++, *pSrcB++, sum); +//#else + sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++); +//#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in destination buffer in 18.14 format */ + *result = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicDotProd group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_f32.c new file mode 100644 index 0000000..ad39ecb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_f32.c @@ -0,0 +1,200 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f32.c + * Description: Floating-point vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicMult Vector Multiplication + + Element-by-element multiplication of two vectors. + + 
+      pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.
+
+ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Floating-point vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vmulq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vmulq(vec1,vec2), p0); + } + +} + +#else +void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply the inputs and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vmulq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicMult group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 0000000..8e9dc79 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q15.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q15.c + * Description: Q15 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q15 vector multiplication + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2, inB1, inB2; /* Temporary input variables */ + q15_t out1, out2, out3, out4; /* Temporary output variables */ + q31_t mul1, mul2, mul3, mul4; /* Temporary variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + /* read 2 samples at a time from sourceA */ + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 samples at a time from sourceB */ + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* multiply mul = sourceA * sourceB */ + mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul2 = (q31_t) ((q15_t) (inA1 ) * (q15_t) (inB1 )); + mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 ) * (q15_t) (inB2 )); + + /* saturate result to 16 bit */ + out1 = (q15_t) __SSAT(mul1 >> 15, 16); + out2 = (q15_t) __SSAT(mul2 >> 15, 16); + out3 = (q15_t) __SSAT(mul3 >> 15, 16); + out4 = (q15_t) __SSAT(mul4 >> 15, 16); + + /* store result to destination */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(out2, out1, 16)); + write_q15x2_ia (&pDst, __PKHBT(out4, out3, 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pDst, __PKHBT(out3, out4, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q31.c new file mode 100644 index 0000000..606c000 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q31.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q31.c + * Description: Q31 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q31 vector multiplication. + @param[in] pSrcA points to the first input vector. + @param[in] pSrcB points to the second input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t out; /* Temporary output variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply inputs and store result in destination buffer. */ + out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32; + out = __SSAT(out, 31); + *pDst++ = out << 1U; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q7.c new file mode 100644 index 0000000..06f56d3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_mult_q7.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q7.c + * Description: Q7 vector multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicMult + @{ + */ + +/** + @brief Q7 vector multiplication + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A * B + * Multiply the inputs and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqdmulhq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqdmulhq(vecA, vecB), p0); + } +} + +#else +void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q7_t out1, out2, out3, out4; /* Temporary output variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * B */ + +#if defined (ARM_MATH_DSP) + /* Multiply inputs and store results in temporary variables */ + out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); +#else + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + + /* Multiply input and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicMult group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_f32.c new file mode 100644 index 0000000..7e8a3f9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f32.c + * Description: Negates floating-point vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicNegate Vector Negate + + Negates the elements of a vector. + + 
+      pDst[n] = -pSrc[n],   0 <= n < blockSize.
+
+ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a floating-point vector. + @param[in] pSrc points to input vector. + @param[out] pDst points to output vector. + @param[in] blockSize number of samples in each vector. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + f32x4_t vec1; + f32x4_t res; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = |A| */ + + /* Calculate absolute values and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vnegq(vec1); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + if (blkCnt > 0U) + { + /* C = |A| */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vnegq(vec1), p0); + } + +} + +#else +void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vnegq_f32(vec1); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicNegate group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q15.c new file mode 100644 index 0000000..ea0b008 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q15.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q15.c + * Description: Negates Q15 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q15 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Conditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (2 samples at a time). */ + in1 = read_q15x2_ia ((q15_t **) &pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); + + in1 = read_q15x2_ia ((q15_t **) &pSrc); + write_q15x2_ia (&pDst, __QSUB16(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q31.c new file mode 100644 index 0000000..f962fe4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q31.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q31.c + * Description: Negates Q31 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q31 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q7.c new file mode 100644 index 0000000..03ace0e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_negate_q7.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q7.c + * Description: Negates Q7 vectors + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicNegate + @{ + */ + +/** + @brief Negates the elements of a Q7 vector. + @param[in] pSrc points to the input vector. + @param[out] pDst points to the output vector. + @param[in] blockSize number of samples in each vector. + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q7 value -1 (0x80) is saturated to the maximum allowable positive value 0x7F. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = -A + * Negate and then store the results in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqnegq(vecSrc)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqnegq(vecSrc), p0); + } +} + +#else +void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q7_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t in1; /* Temporary input variable */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = -A */ + +#if defined (ARM_MATH_DSP) + /* Negate and store result in destination buffer (4 samples at a time). */ + in1 = read_q7x4_ia ((q7_t **) &pSrc); + write_q7x4_ia (&pDst, __QSUB8(0, in1)); +#else + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; + + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = -A */ + + /* Negate and store result in destination buffer. */ + in = *pSrc++; + +#if defined (ARM_MATH_DSP) + *pDst++ = (q7_t) __QSUB8(0, in); +#else + *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicNegate group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u16.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u16.c new file mode 100644 index 0000000..e21ee2f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u16.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u16.c + * Description: uint16_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Not Vector bitwise NOT + + Compute the logical bitwise NOT. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u16(vecSrc) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vmvnq_u16(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t inV; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + inV = vld1q_u16(pSrc); + + vst1q_u16(pDst, vmvnq_u16(inV) ); + + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u32.c new file mode 100644 index 0000000..4dfa8df --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u32.c + * Description: uint32_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u32(vecSrc) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vmvnq_u32(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t inV; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + inV = vld1q_u32(pSrc); + + vst1q_u32(pDst, vmvnq_u32(inV) ); + + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u8.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u8.c new file mode 100644 index 0000000..cccc16b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_not_u8.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_not_u8.c + * Description: uint8_t bitwise NOT + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Not + @{ + */ + +/** + @brief Compute the logical bitwise NOT of a fixed-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + + vst1q(pDst, vmvnq_u8(vecSrc) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vmvnq_u8(vecSrc), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t inV; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + inV = vld1q_u8(pSrc); + + vst1q_u8(pDst, vmvnq_u8(inV) ); + + pSrc += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = ~(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Not group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_f32.c new file mode 100644 index 0000000..67cf4ce --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f32.c + * Description: Floating-point vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicOffset Vector Offset + + Adds a constant offset to each element of a vector. + + 
+      pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.
+
+ + The functions support in-place computation allowing the source and + destination pointers to reference the same memory buffer. + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vaddq(vec1,offset); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vaddq(vec1, offset), p0); + } + + +} + +#else +void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vaddq_f32(vec1,vdupq_n_f32(offset)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicOffset group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q15.c new file mode 100644 index 0000000..81f820b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q15.c @@ -0,0 +1,168 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q15.c + * Description: Q15 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vstrhq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + + +#else +void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PKHBT(offset, offset, 16); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (2 samples at a time). */ + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed)); + write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QADD16(*pSrc++, offset); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q31.c new file mode 100644 index 0000000..bdc8cf3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q31.c @@ -0,0 +1,175 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q31.c + * Description: Q31 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vstrwq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = __QADD(*pSrc++, offset); +#else + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q7.c new file mode 100644 index 0000000..a9de6cc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_offset_q7.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q7.c + * Description: Q7 vector offset + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicOffset + @{ + */ + +/** + @brief Adds a constant offset to a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] offset is the offset to be added + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A + offset + * Add offset and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vst1q(pDst, vqaddq(vecSrc, offset)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vstrbq_p(pDst, vqaddq(vecSrc, offset), p0); + } +} + +#else +void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t offset_packed; /* Offset packed to 32 bit */ + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PACKq7(offset, offset, offset, offset); +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + +#if defined (ARM_MATH_DSP) + /* Add offset and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QADD8(read_q7x4_ia ((q7_t **) &pSrc), offset_packed)); +#else + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicOffset group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u16.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u16.c new file mode 100644 index 0000000..8f2abbc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u16.c + * Description: uint16_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Or Vector bitwise inclusive OR + + Compute the logical bitwise OR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, vorrq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, vorrq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Or group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u32.c new file mode 100644 index 0000000..66b97c0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u32.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u32.c + * Description: uint32_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, vorrq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, vorrq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u8.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u8.c new file mode 100644 index 0000000..32ef686 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_or_u8.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_or_u8.c + * Description: uint8_t bitwise inclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Or + @{ + */ + +/** + @brief Compute the logical bitwise OR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, vorrq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, vorrq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, vorrq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)|(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} +/** + @} end of Or group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_f32.c new file mode 100644 index 0000000..9fb59e3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_f32.c @@ -0,0 +1,216 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f32.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicScale Vector Scale + + Multiply a vector by a scalar value. For floating-point data, the algorithm used is: + + 
+      pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.
+
+ + In the fixed-point Q7, Q15, and Q31 functions, scale is represented by + a fractional multiplication scaleFract and an arithmetic shift shift. + The shift allows the gain of the scaling operation to exceed 1.0. + The algorithm used with fixed-point data is: + + 
+      pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.
+
+ + The overall scale factor applied to the fixed-point data is + 
+      scale = scaleFract * 2^shift.
+
+ + The functions support in-place computation allowing the source and destination + pointers to reference the same memory buffer. + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a floating-point vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scale scale factor to be applied + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + + /* Add offset and then store the results in the destination buffer. */ + vec1 = vld1q(pSrc); + res = vmulq(vec1,scale); + vst1q(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q((float32_t const *) pSrc); + vstrwq_p(pDst, vmulq(vec1, scale), p0); + } + + +} + +#else +void arm_scale_f32( + const float32_t *pSrc, + float32_t scale, + float32_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ +#if defined(ARM_MATH_NEON_EXPERIMENTAL) + f32x4_t vec1; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale the input and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrc); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + float32_t in1, in2, in3, in4; + + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in1 = (*pSrc++) * scale; + + in2 = (*pSrc++) * scale; + + in3 = (*pSrc++) * scale; + + in4 = (*pSrc++) * scale; + + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (*pSrc++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicScale group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q15.c new file mode 100644 index 0000000..159c7db --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q15.c @@ -0,0 +1,201 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q15.c + * Description: Multiplies a Q15 vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a Q15 vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scaleFract fractional portion of the scale value + @param[in] shift number of bits to shift the result by + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The input data *pSrc and scaleFract are in 1.15 format. + These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_scale_q15( + const q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q15x8_t vecDst; + + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + /* + * C = A * scale + * Scale the input and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt);; + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s16(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vstrhq_p(pDst, vecDst, p0); + } + +} + + +#else +void arm_scale_q15( + const q15_t *pSrc, + q15_t scaleFract, + int8_t shift, + q15_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + int8_t kShift = 15 - shift; /* Shift to apply after scaling */ + +#if defined (ARM_MATH_LOOPUNROLL) +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t out1, out2, out3, out4; /* Temporary output variables */ + q15_t in1, in2, in3, in4; /* Temporary input variables */ +#endif +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from source */ + inA1 = read_q15x2_ia ((q15_t **) &pSrc); + inA2 = read_q15x2_ia ((q15_t **) &pSrc); + + /* Scale inputs and store result in temporary variables + * in single cycle by packing the outputs */ + out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); + out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract); + out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); + out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract); + + /* apply shifting */ + out1 = out1 >> kShift; + out2 = out2 >> kShift; + out3 = out3 >> kShift; + out4 = out4 >> kShift; + + /* saturate the output */ + in1 = (q15_t) (__SSAT(out1, 16)); + in2 = (q15_t) (__SSAT(out2, 16)); + in3 = (q15_t) (__SSAT(out3, 16)); + in4 = (q15_t) (__SSAT(out4, 16)); + + /* store result to destination */ + write_q15x2_ia (&pDst, __PKHBT(in2, in1, 16)); + write_q15x2_ia (&pDst, __PKHBT(in4, in3, 16)); +#else + *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16)); + *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16)); + *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16)); + *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16)); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16)); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicScale group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q31.c new file mode 100644 index 0000000..e4639bb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q31.c @@ -0,0 +1,244 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q31.c + * Description: Multiplies a Q31 vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a Q31 vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scaleFract fractional portion of the scale value + @param[in] shift number of bits to shift the result by + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The input data *pSrc and scaleFract are in 1.31 format. + These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_scale_q31( + const q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q31x4_t vecDst; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A * scale + * Scale the input and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s32(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vstrwq_p(pDst, vecDst, p0); + } +} + +#else +void arm_scale_q31( + const q31_t *pSrc, + q31_t scaleFract, + int8_t shift, + q31_t *pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in, out; /* Temporary variables */ + int8_t kShift = shift + 1; /* Shift to apply after scaling */ + int8_t sign = (kShift & 0x80); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in = *pSrc++; /* read input from source */ + in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */ + out = in << kShift; /* apply shifting */ + if (in != (out >> kShift)) /* saturate the result */ + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; /* Store result destination */ + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in = *pSrc++; /* read four inputs from source */ + in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */ + out = in >> -kShift; /* apply shifting */ + *pDst++ = out; /* Store result destination */ + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in >> -kShift; + *pDst++ = out; + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in >> -kShift; + *pDst++ = out; + + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in >> -kShift; + *pDst++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + out = in >> -kShift; + *pDst++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicScale group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q7.c new file mode 100644 index 0000000..d123537 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_scale_q7.c @@ -0,0 +1,186 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q7.c + * Description: Multiplies a Q7 vector by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicScale + @{ + */ + +/** + @brief Multiplies a Q7 vector by a scalar. + @param[in] pSrc points to the input vector + @param[in] scaleFract fractional portion of the scale value + @param[in] shift number of bits to shift the result by + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The input data *pSrc and scaleFract are in 1.7 format. + These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + + +void arm_scale_q7( + const q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q7x16_t vecDst; + + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + /* + * C = A * scale + * Scale the input and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vecDst = vmulhq(vecSrc, vdupq_n_s8(scaleFract)); + vecDst = vqshlq_r(vecDst, shift + 1); + vstrbq_p(pDst, vecDst, p0); + } + +} + +#else +void arm_scale_q7( + const q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + int8_t kShift = 7 - shift; /* Shift to apply after scaling */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q7_t in1, in2, in3, in4; /* Temporary input variables */ + q7_t out1, out2, out3, out4; /* Temporary output variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + +#if defined (ARM_MATH_DSP) + /* Reading 4 inputs from memory */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + /* Scale inputs and store result in the temporary variable. */ + out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8)); + out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8)); + out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8)); + out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8)); + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); +#else + *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8)); + *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8)); + *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8)); + *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8)); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + + /* Scale input and store result in destination buffer. */ + *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8)); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicScale group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q15.c new file mode 100644 index 0000000..0de2eb4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q15.c @@ -0,0 +1,251 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q15.c + * Description: Shifts the elements of a Q15 vector by a specified number of bits + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicShift + @{ + */ + +/** + @brief Shifts the elements of a Q15 vector a specified number of bits + @param[in] pSrc points to the input vector + @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_shift_q15( + const q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q15x8_t vecDst; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A (>> or <<) shiftBits + * Shift the input and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrc = vld1q(pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vstrhq_p(pDst, vecDst, p0); + } +} + +#else +void arm_shift_q15( + const q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q15_t in1, in2; /* Temporary input variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples from source */ + in1 = *pSrc++; + in2 = *pSrc++; + + /* Shift the inputs and then store the results in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16), + __SSAT((in2 << shiftBits), 16), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16), + __SSAT((in1 << shiftBits), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* read 2 samples from source */ + in1 = *pSrc++; + in2 = *pSrc++; + +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16), + __SSAT((in2 << shiftBits), 16), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16), + __SSAT((in1 << shiftBits), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16); + *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16); + *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16); + *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + +#if defined (ARM_MATH_DSP) + /* read 2 samples from source */ + in1 = *pSrc++; + in2 = *pSrc++; + + /* Shift the inputs and then store the results in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits), + (in2 >> -shiftBits), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits), + (in1 >> -shiftBits), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* read 2 samples from source */ + in1 = *pSrc++; + in2 = *pSrc++; + +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits), + (in2 >> -shiftBits), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits), + (in1 >> -shiftBits), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16); + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement loop counter */ + blkCnt--; + } + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicShift group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q31.c new file mode 100644 index 0000000..c8cd660 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q31.c @@ -0,0 +1,232 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q31.c + * Description: Shifts the elements of a Q31 vector by a specified number of bits + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ +/** + @defgroup BasicShift Vector Shift + + Shifts the elements of a fixed-point vector by a specified number of bits. + There are separate functions for Q7, Q15, and Q31 data types. + The underlying algorithm used is: + + 
+      pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.
+
+ + If shift is positive then the elements of the vector are shifted to the left. + If shift is negative then the elements of the vector are shifted to the right. + + The functions support in-place computation allowing the source and destination + pointers to reference the same memory buffer. + */ + +/** + @addtogroup BasicShift + @{ + */ + +/** + @brief Shifts the elements of a Q31 vector a specified number of bits. + @param[in] pSrc points to the input vector + @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in the vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_shift_q31( + const q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q31x4_t vecDst; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A (>> or <<) shiftBits + * Shift the input and then store the result in the destination buffer. + */ + vecSrc = vld1q((q31_t const *) pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrc = vld1q((q31_t const *) pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vstrwq_p(pDst, vecDst, p0); + } +} + + +#else +void arm_shift_q31( + const q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ + +#if defined (ARM_MATH_LOOPUNROLL) + + q31_t in, out; /* Temporary variables */ + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + + /* Shift input and store result in destination buffer. */ + in = *pSrc++; + out = in << shiftBits; + if (in != (out >> shiftBits)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + in = *pSrc++; + out = in << shiftBits; + if (in != (out >> shiftBits)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + in = *pSrc++; + out = in << shiftBits; + if (in != (out >> shiftBits)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + in = *pSrc++; + out = in << shiftBits; + if (in != (out >> shiftBits)) + out = 0x7FFFFFFF ^ (in >> 31); + *pDst++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + + /* Shift input and store results in destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = clip_q63_to_q31((q63_t) *pSrc++ << shiftBits); + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement loop counter */ + blkCnt--; + } + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicShift group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q7.c new file mode 100644 index 0000000..ecfe198 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_shift_q7.c @@ -0,0 +1,225 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q7.c + * Description: Processing function for the Q7 Shifting + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicShift + @{ + */ + +/** + @brief Shifts the elements of a Q7 vector a specified number of bits + @param[in] pSrc points to the input vector + @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par onditions for optimum performance + Input and output buffers should be aligned by 32-bit + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_shift_q7( + const q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q7x16_t vecDst; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A (>> or <<) shiftBits + * Shift the input and then store the result in the destination buffer. + */ + vecSrc = vld1q(pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrc = vld1q(pSrc); + vecDst = vqshlq_r(vecSrc, shiftBits); + vstrbq_p(pDst, vecDst, p0); + } +} + +#else +void arm_shift_q7( + const q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q7_t in1, in2, in3, in4; /* Temporary input variables */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + +#if defined (ARM_MATH_DSP) + /* Read 4 inputs */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7(__SSAT((in1 << shiftBits), 8), + __SSAT((in2 << shiftBits), 8), + __SSAT((in3 << shiftBits), 8), + __SSAT((in4 << shiftBits), 8) )); +#else + *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8); + *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8); + *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8); + *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + +#if defined (ARM_MATH_DSP) + /* Read 4 inputs */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + /* Pack and store result in destination buffer (in single write) */ + write_q7x4_ia (&pDst, __PACKq7((in1 >> -shiftBits), + (in2 >> -shiftBits), + (in3 >> -shiftBits), + (in4 >> -shiftBits) )); +#else + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); + *pDst++ = (*pSrc++ >> -shiftBits); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8); + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + + /* Shift input and store result in destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement loop counter */ + blkCnt--; + } + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicShift group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_f32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_f32.c new file mode 100644 index 0000000..34dbedc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_f32.c @@ -0,0 +1,202 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_f32.c + * Description: Floating-point vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup BasicSub Vector Subtraction + + Element-by-element subtraction of two vectors. + + 
+      pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.
+
+ + There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Floating-point vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A + B */ + + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + res = vsubq(vec1, vec2); + vst1q(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + if (blkCnt > 0U) + { + /* C = A + B */ + mve_pred16_t p0 = vctp32q(blkCnt); + vec1 = vld1q(pSrcA); + vec2 = vld1q(pSrcB); + vstrwq_p(pDst, vsubq(vec1,vec2), p0); + } + +} + +#else +void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t vec1; + f32x4_t vec2; + f32x4_t res; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pSrcA); + vec2 = vld1q_f32(pSrcB); + res = vsubq_f32(vec1, vec2); + vst1q_f32(pDst, res); + + /* Increment pointers */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicSub group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q15.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q15.c new file mode 100644 index 0000000..b4b267b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q15.c @@ -0,0 +1,178 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q15.c + * Description: Q15 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q15 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecA; + q15x8_t vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 8; + pSrcB += 8; + pDst += 8; + } + /* + * tail + */ + blkCnt = blockSize & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrhq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + + +#else +void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t inB1, inB2; +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from sourceA */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcA); + inA2 = read_q15x2_ia ((q15_t **) &pSrcA); + /* read 2 times 2 samples at a time from sourceB */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcB); + inB2 = read_q15x2_ia ((q15_t **) &pSrcB); + + /* Subtract and store 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, __QSUB16(inA1, inB1)); + write_q15x2_ia (&pDst, __QSUB16(inA2, inB2)); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); +#else + *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q31.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q31.c new file mode 100644 index 0000000..4647d10 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q31.c + * Description: Q31 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q31 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecA; + q31x4_t vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * C = A + B + * Add and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + pDst += 4; + } + /* + * tail + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrwq_p(pDst, vqsubq(vecA, vecB), p0); + } +} + +#else +void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q7.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q7.c new file mode 100644 index 0000000..e34e74e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_sub_q7.c @@ -0,0 +1,158 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q7.c + * Description: Q7 vector subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup BasicSub + @{ + */ + +/** + @brief Q7 vector subtraction. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecA; + q7x16_t vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* + * C = A - B + * Subtract and then store the results in the destination buffer. + */ + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vst1q(pDst, vqsubq(vecA, vecB)); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + /* + * advance vector source and destination pointers + */ + pSrcA += 16; + pSrcB += 16; + pDst += 16; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + vstrbq_p(pDst, vqsubq(vecA, vecB), p0); + } +} +#else +void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A - B */ + +#if defined (ARM_MATH_DSP) + /* Subtract and store result in destination buffer (4 samples at a time). */ + write_q7x4_ia (&pDst, __QSUB8(read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB))); +#else + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + + /* Subtract and store result in destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicSub group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u16.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u16.c new file mode 100644 index 0000000..0296037 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u16.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u16.c + * Description: uint16_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @defgroup Xor Vector bitwise exclusive OR + + Compute the logical bitwise XOR. + + There are separate functions for uint32_t, uint16_t, and uint8_t data types. + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q15x8_t vecSrcA, vecSrcB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u16(vecSrcA, vecSrcB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrhq_p(pDst, veorq_u16(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint16x8_t vecA, vecB; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + vecA = vld1q_u16(pSrcA); + vecB = vld1q_u16(pSrcB); + + vst1q_u16(pDst, veorq_u16(vecA, vecB) ); + + pSrcA += 8; + pSrcB += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 7; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u32.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u32.c new file mode 100644 index 0000000..526a1a0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u32.c + * Description: uint32_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q31x4_t vecSrcA, vecSrcB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u32(vecSrcA, vecSrcB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrwq_p(pDst, veorq_u32(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32x4_t vecA, vecB; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecA = vld1q_u32(pSrcA); + vecB = vld1q_u32(pSrcB); + + vst1q_u32(pDst, veorq_u32(vecA, vecB) ); + + pSrcA += 4; + pSrcB += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u8.c b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u8.c new file mode 100644 index 0000000..769e27c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BasicMathFunctions/arm_xor_u8.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_xor_u8.c + * Description: uint8_t bitwise exclusive OR + * + * $Date: 14 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMath + */ + +/** + @addtogroup Xor + @{ + */ + +/** + @brief Compute the logical bitwise XOR of two fixed-point vectors. + @param[in] pSrcA points to input vector A + @param[in] pSrcB points to input vector B + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ + +void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE) + q7x16_t vecSrcA, vecSrcB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vst1q(pDst, veorq_u8(vecSrcA, vecSrcB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; + + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + vstrbq_p(pDst, veorq_u8(vecSrcA, vecSrcB), p0); + } +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + uint8x16_t vecA, vecB; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + + while (blkCnt > 0U) + { + vecA = vld1q_u8(pSrcA); + vecB = vld1q_u8(pSrcB); + + vst1q_u8(pDst, veorq_u8(vecA, vecB) ); + + pSrcA += 16; + pSrcB += 16; + pDst += 16; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0xF; +#else + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; +#endif + + while (blkCnt > 0U) + { + *pDst++ = (*pSrcA++)^(*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +#endif /* if defined(ARM_MATH_MVEI) */ +} + +/** + @} end of Xor group + */ diff --git a/Firmware/cmsis/dsp/Source/BayesFunctions/BayesFunctions.c b/Firmware/cmsis/dsp/Source/BayesFunctions/BayesFunctions.c new file mode 100644 index 0000000..4a553dc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BayesFunctions/BayesFunctions.c @@ -0,0 +1,29 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all bayes function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_gaussian_naive_bayes_predict_f32.c" diff --git a/Firmware/cmsis/dsp/Source/BayesFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/BayesFunctions/CMakeLists.txt new file mode 100644 index 0000000..5f5ee4a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BayesFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPBayes) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPBayes STATIC ${SRC}) + +configLib(CMSISDSPBayes ${ROOT}) +configDsp(CMSISDSPBayes ${ROOT}) + +### Includes +target_include_directories(CMSISDSPBayes PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c b/Firmware/cmsis/dsp/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c new file mode 100644 index 0000000..5a5cecb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/BayesFunctions/arm_gaussian_naive_bayes_predict_f32.c @@ -0,0 +1,397 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_naive_gaussian_bayes_predict_f32 + * Description: Naive Gaussian Bayesian Estimator + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +#define PI_F 3.1415926535897932384626433832795f +#define DPI_F (2.0f*3.1415926535897932384626433832795f) + +/** + * @addtogroup groupBayes + * @{ + */ + +/** + * @brief Naive Gaussian Bayesian Estimator + * + * @param[in] *S points to a naive bayes instance structure + * @param[in] *in points to the elements of the input vector. + * @param[in] *pBuffer points to a buffer of length numberOfClasses + * @return The predicted class + * + * @par If the number of classes is big, MVE version will consume lot of + * stack since the log prior are computed on the stack. + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer) +{ + uint32_t nbClass; + const float32_t *pTheta = S->theta; + const float32_t *pSigma = S->sigma; + float32_t *buffer = pBuffer; + const float32_t *pIn = in; + float32_t result; + f32x4_t vsigma; + float32_t tmp; + f32x4_t vacc1, vacc2; + uint32_t index; + float32_t logclassPriors[S->numberOfClasses]; + float32_t *pLogPrior = logclassPriors; + + arm_vlog_f32((float32_t *) S->classPriors, logclassPriors, S->numberOfClasses); + + pTheta = S->theta; + pSigma = S->sigma; + + for (nbClass = 0; nbClass < S->numberOfClasses; nbClass++) { + pIn = in; + + vacc1 = vdupq_n_f32(0); + vacc2 = vdupq_n_f32(0); + + uint32_t blkCnt =S->vectorDimension >> 2; + while (blkCnt > 0U) { + f32x4_t vinvSigma, vtmp; + + vsigma = vaddq_n_f32(vld1q(pSigma), S->epsilon); + vacc1 = vaddq(vacc1, vlogq_f32(vmulq_n_f32(vsigma, 2.0f * PI))); + + vinvSigma = vrecip_medprec_f32(vsigma); + + vtmp = vsubq(vld1q(pIn), vld1q(pTheta)); + /* squaring */ + vtmp = vmulq(vtmp, vtmp); + + vacc2 = vfmaq(vacc2, vtmp, vinvSigma); + + pIn += 4; + pTheta += 4; + pSigma += 4; + blkCnt--; + } + + blkCnt = S->vectorDimension & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vinvSigma, vtmp; + + vsigma = vaddq_n_f32(vld1q(pSigma), S->epsilon); + vacc1 = + vaddq_m_f32(vacc1, vacc1, vlogq_f32(vmulq_n_f32(vsigma, 2.0f * PI)), p0); + + vinvSigma = vrecip_medprec_f32(vsigma); + + vtmp = vsubq(vld1q(pIn), vld1q(pTheta)); + /* squaring */ + vtmp = vmulq(vtmp, vtmp); + + vacc2 = vfmaq_m_f32(vacc2, vtmp, vinvSigma, p0); + + pTheta += blkCnt; + pSigma += blkCnt; + } + + tmp = -0.5f * vecAddAcrossF32Mve(vacc1); + tmp -= 0.5f * vecAddAcrossF32Mve(vacc2); + + *buffer = tmp + *pLogPrior++; + buffer++; + } + + arm_max_f32(pBuffer, S->numberOfClasses, &result, &index); + + return (index); +} + +#else + +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + + + +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer) +{ + + const float32_t *pPrior = S->classPriors; + + const float32_t *pTheta = S->theta; + const float32_t *pSigma = S->sigma; + + const float32_t *pTheta1 = S->theta + S->vectorDimension; + const float32_t *pSigma1 = S->sigma + S->vectorDimension; + + float32_t *buffer = pBuffer; + const float32_t *pIn=in; + + float32_t result; + float32_t sigma,sigma1; + float32_t tmp,tmp1; + uint32_t index; + uint32_t vecBlkCnt; + uint32_t classBlkCnt; + float32x4_t epsilonV; + float32x4_t sigmaV,sigmaV1; + float32x4_t tmpV,tmpVb,tmpV1; + float32x2_t tmpV2; + float32x4_t thetaV,thetaV1; + float32x4_t inV; + + epsilonV = vdupq_n_f32(S->epsilon); + + classBlkCnt = S->numberOfClasses >> 1; + while(classBlkCnt > 0) + { + + + pIn = in; + + tmp = logf(*pPrior++); + tmp1 = logf(*pPrior++); + tmpV = vdupq_n_f32(0.0f); + tmpV1 = vdupq_n_f32(0.0f); + + vecBlkCnt = S->vectorDimension >> 2; + while(vecBlkCnt > 0) + { + sigmaV = vld1q_f32(pSigma); + thetaV = vld1q_f32(pTheta); + + sigmaV1 = vld1q_f32(pSigma1); + thetaV1 = vld1q_f32(pTheta1); + + inV = vld1q_f32(pIn); + + sigmaV = vaddq_f32(sigmaV, epsilonV); + sigmaV1 = vaddq_f32(sigmaV1, epsilonV); + + tmpVb = vmulq_n_f32(sigmaV,DPI_F); + tmpVb = vlogq_f32(tmpVb); + tmpV = vmlsq_n_f32(tmpV,tmpVb,0.5f); + + tmpVb = vmulq_n_f32(sigmaV1,DPI_F); + tmpVb = vlogq_f32(tmpVb); + tmpV1 = vmlsq_n_f32(tmpV1,tmpVb,0.5f); + + tmpVb = vsubq_f32(inV,thetaV); + tmpVb = vmulq_f32(tmpVb,tmpVb); + tmpVb = vmulq_f32(tmpVb, vinvq_f32(sigmaV)); + tmpV = vmlsq_n_f32(tmpV,tmpVb,0.5f); + + tmpVb = vsubq_f32(inV,thetaV1); + tmpVb = vmulq_f32(tmpVb,tmpVb); + tmpVb = vmulq_f32(tmpVb, vinvq_f32(sigmaV1)); + tmpV1 = vmlsq_n_f32(tmpV1,tmpVb,0.5f); + + pIn += 4; + pTheta += 4; + pSigma += 4; + pTheta1 += 4; + pSigma1 += 4; + + vecBlkCnt--; + } + tmpV2 = vpadd_f32(vget_low_f32(tmpV),vget_high_f32(tmpV)); + tmp += vget_lane_f32(tmpV2, 0) + vget_lane_f32(tmpV2, 1); + + tmpV2 = vpadd_f32(vget_low_f32(tmpV1),vget_high_f32(tmpV1)); + tmp1 += vget_lane_f32(tmpV2, 0) + vget_lane_f32(tmpV2, 1); + + vecBlkCnt = S->vectorDimension & 3; + while(vecBlkCnt > 0) + { + sigma = *pSigma + S->epsilon; + sigma1 = *pSigma1 + S->epsilon; + + tmp -= 0.5f*logf(2.0f * PI_F * sigma); + tmp -= 0.5f*(*pIn - *pTheta) * (*pIn - *pTheta) / sigma; + + tmp1 -= 0.5f*logf(2.0f * PI_F * sigma1); + tmp1 -= 0.5f*(*pIn - *pTheta1) * (*pIn - *pTheta1) / sigma1; + + pIn++; + pTheta++; + pSigma++; + pTheta1++; + pSigma1++; + vecBlkCnt--; + } + + *buffer++ = tmp; + *buffer++ = tmp1; + + pSigma += S->vectorDimension; + pTheta += S->vectorDimension; + pSigma1 += S->vectorDimension; + pTheta1 += S->vectorDimension; + + classBlkCnt--; + } + + classBlkCnt = S->numberOfClasses & 1; + + while(classBlkCnt > 0) + { + + + pIn = in; + + tmp = logf(*pPrior++); + tmpV = vdupq_n_f32(0.0f); + + vecBlkCnt = S->vectorDimension >> 2; + while(vecBlkCnt > 0) + { + sigmaV = vld1q_f32(pSigma); + thetaV = vld1q_f32(pTheta); + inV = vld1q_f32(pIn); + + sigmaV = vaddq_f32(sigmaV, epsilonV); + + tmpVb = vmulq_n_f32(sigmaV,DPI_F); + tmpVb = vlogq_f32(tmpVb); + tmpV = vmlsq_n_f32(tmpV,tmpVb,0.5f); + + tmpVb = vsubq_f32(inV,thetaV); + tmpVb = vmulq_f32(tmpVb,tmpVb); + tmpVb = vmulq_f32(tmpVb, vinvq_f32(sigmaV)); + tmpV = vmlsq_n_f32(tmpV,tmpVb,0.5f); + + pIn += 4; + pTheta += 4; + pSigma += 4; + + vecBlkCnt--; + } + tmpV2 = vpadd_f32(vget_low_f32(tmpV),vget_high_f32(tmpV)); + tmp += vget_lane_f32(tmpV2, 0) + vget_lane_f32(tmpV2, 1); + + vecBlkCnt = S->vectorDimension & 3; + while(vecBlkCnt > 0) + { + sigma = *pSigma + S->epsilon; + tmp -= 0.5f*logf(2.0f * PI_F * sigma); + tmp -= 0.5f*(*pIn - *pTheta) * (*pIn - *pTheta) / sigma; + + pIn++; + pTheta++; + pSigma++; + vecBlkCnt--; + } + + *buffer++ = tmp; + + classBlkCnt--; + } + + arm_max_f32(pBuffer,S->numberOfClasses,&result,&index); + + return(index); +} + +#else + +/** + * @brief Naive Gaussian Bayesian Estimator + * + * @param[in] *S points to a naive bayes instance structure + * @param[in] *in points to the elements of the input vector. + * @param[in] *pBuffer points to a buffer of length numberOfClasses + * @return The predicted class + * + */ +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer) +{ + uint32_t nbClass; + uint32_t nbDim; + const float32_t *pPrior = S->classPriors; + const float32_t *pTheta = S->theta; + const float32_t *pSigma = S->sigma; + float32_t *buffer = pBuffer; + const float32_t *pIn=in; + float32_t result; + float32_t sigma; + float32_t tmp; + float32_t acc1,acc2; + uint32_t index; + + pTheta=S->theta; + pSigma=S->sigma; + + for(nbClass = 0; nbClass < S->numberOfClasses; nbClass++) + { + + + pIn = in; + + tmp = 0.0; + acc1 = 0.0f; + acc2 = 0.0f; + for(nbDim = 0; nbDim < S->vectorDimension; nbDim++) + { + sigma = *pSigma + S->epsilon; + acc1 += logf(2.0f * PI_F * sigma); + acc2 += (*pIn - *pTheta) * (*pIn - *pTheta) / sigma; + + pIn++; + pTheta++; + pSigma++; + } + + tmp = -0.5f * acc1; + tmp -= 0.5f * acc2; + + + *buffer = tmp + logf(*pPrior++); + buffer++; + } + + arm_max_f32(pBuffer,S->numberOfClasses,&result,&index); + + return(index); +} + +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupBayes group + */ diff --git a/Firmware/cmsis/dsp/Source/CMakeLists.txt b/Firmware/cmsis/dsp/Source/CMakeLists.txt new file mode 100644 index 0000000..5f70a45 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CMakeLists.txt @@ -0,0 +1,280 @@ +cmake_minimum_required (VERSION 3.6) +cmake_policy(SET CMP0077 NEW) +project(CMSISDSP) + +# DSP Sources +SET(DSP ${ROOT}/CMSIS/DSP) + +list(APPEND CMAKE_MODULE_PATH ${DSP}/Source) +list(APPEND CMAKE_MODULE_PATH ${DSP}) + + +include(configLib) + + +option(NEON "Neon acceleration" OFF) +option(NEONEXPERIMENTAL "Neon experimental acceleration" OFF) +option(LOOPUNROLL "Loop unrolling" ON) +option(ROUNDING "Rounding" OFF) +option(MATRIXCHECK "Matrix Checks" OFF) +option(HELIUM "Helium acceleration (MVEF and MVEI supported)" OFF) +option(MVEF "MVEF intrinsics supported" OFF) +option(MVEI "MVEI intrinsics supported" OFF) + +# Select which parts of the CMSIS-DSP must be compiled. +# There are some dependencies between the parts but they are not tracked +# by this cmake. So, enabling some functions may require to enable some +# other ones. +option(BASICMATH "Basic Math Functions" ON) +option(COMPLEXMATH "Complex Math Functions" ON) +option(CONTROLLER "Controller Functions" ON) +option(FASTMATH "Fast Math Functions" ON) +option(FILTERING "Filtering Functions" ON) +option(MATRIX "Matrix Functions" ON) +option(STATISTICS "Statistics Functions" ON) +option(SUPPORT "Support Functions" ON) +option(TRANSFORM "Transform Functions" ON) +option(SVM "Support Vector Machine Functions" ON) +option(BAYES "Bayesian Estimators" ON) +option(DISTANCE "Distance Functions" ON) + +# When OFF it is the default behavior : all tables are included. +option(CONFIGTABLE "Configuration of table allowed" OFF) + +# When CONFIGTABLE is ON, select if all interpolation tables must be included +option(ALLFAST "All interpolation tables included" OFF) +# When CONFIGTABLE is ON, select if all FFT tables must be included +option(ALLFFT "All fft tables included" OFF) + +# Features which require inclusion of a data table. +# Since some tables may be big, the corresponding feature can be +# disabled. +# Those options are taken into account only when CONFIGTABLE is ON +option(ARM_COS_F32 "cos f32" OFF) +option(ARM_COS_Q31 "cos q31" OFF) +option(ARM_COS_Q15 "cos q15" OFF) +option(ARM_SIN_F32 "sin f32" OFF) +option(ARM_SIN_Q31 "sin q31" OFF) +option(ARM_SIN_Q15 "sin q15" OFF) +option(ARM_SIN_COS_F32 "sin cos f32" OFF) +option(ARM_SIN_COS_Q31 "sin cos q31" OFF) + +option(ARM_LMS_NORM_Q31 "lms norm q31" OFF) +option(ARM_LMS_NORM_Q15 "lms norm q15" OFF) + +option(CFFT_F64_16 "cfft f64 16" OFF) +option(CFFT_F64_32 "cfft f64 32" OFF) +option(CFFT_F64_64 "cfft f64 64" OFF) +option(CFFT_F64_128 "cfft f64 128" OFF) +option(CFFT_F64_256 "cfft f64 256" OFF) +option(CFFT_F64_512 "cfft f64 512" OFF) +option(CFFT_F64_1024 "cfft f64 1024" OFF) +option(CFFT_F64_2048 "cfft f64 2048" OFF) +option(CFFT_F64_4096 "cfft f64 4096" OFF) + +option(CFFT_F32_16 "cfft f32 16" OFF) +option(CFFT_F32_32 "cfft f32 32" OFF) +option(CFFT_F32_64 "cfft f32 64" OFF) +option(CFFT_F32_128 "cfft f32 128" OFF) +option(CFFT_F32_256 "cfft f32 256" OFF) +option(CFFT_F32_512 "cfft f32 512" OFF) +option(CFFT_F32_1024 "cfft f32 1024" OFF) +option(CFFT_F32_2048 "cfft f32 2048" OFF) +option(CFFT_F32_4096 "cfft f32 4096" OFF) + +option(CFFT_Q31_16 "cfft q31 16" OFF) +option(CFFT_Q31_32 "cfft q31 32" OFF) +option(CFFT_Q31_64 "cfft q31 64" OFF) +option(CFFT_Q31_128 "cfft q31 128" OFF) +option(CFFT_Q31_256 "cfft q31 256" OFF) +option(CFFT_Q31_512 "cfft q31 512" OFF) +option(CFFT_Q31_1024 "cfft q31 1024" OFF) +option(CFFT_Q31_2048 "cfft q31 2048" OFF) +option(CFFT_Q31_4096 "cfft q31 4096" OFF) + +option(CFFT_Q15_16 "cfft q15 16" OFF) +option(CFFT_Q15_32 "cfft q15 32" OFF) +option(CFFT_Q15_64 "cfft q15 64" OFF) +option(CFFT_Q15_128 "cfft q15 128" OFF) +option(CFFT_Q15_256 "cfft q15 256" OFF) +option(CFFT_Q15_512 "cfft q15 512" OFF) +option(CFFT_Q15_1024 "cfft q15 1024" OFF) +option(CFFT_Q15_2048 "cfft q15 2048" OFF) +option(CFFT_Q15_4096 "cfft q15 4096" OFF) + +option(RFFT_FAST_F32_32 "rfft fast f32 32" OFF) +option(RFFT_FAST_F32_64 "rfft fast f32 64" OFF) +option(RFFT_FAST_F32_128 "rfft fast f32 128" OFF) +option(RFFT_FAST_F32_256 "rfft fast f32 256" OFF) +option(RFFT_FAST_F32_512 "rfft fast f32 512" OFF) +option(RFFT_FAST_F32_1024 "rfft fast f32 1024" OFF) +option(RFFT_FAST_F32_2048 "rfft fast f32 2048" OFF) +option(RFFT_FAST_F32_4096 "rfft fast f32 4096" OFF) + + +option(RFFT_F32_128 "rfft f32 128" OFF) +option(RFFT_F32_512 "rfft f32 512" OFF) +option(RFFT_F32_2048 "rfft f32 2048" OFF) +option(RFFT_F32_8192 "rfft f32 8192" OFF) + +option(RFFT_FAST_F64_32 "rfft fast f64 32" OFF) +option(RFFT_FAST_F64_64 "rfft fast f64 64" OFF) +option(RFFT_FAST_F64_128 "rfft fast f64 128" OFF) +option(RFFT_FAST_F64_256 "rfft fast f64 256" OFF) +option(RFFT_FAST_F64_512 "rfft fast f64 512" OFF) +option(RFFT_FAST_F64_1024 "rfft fast f64 1024" OFF) +option(RFFT_FAST_F64_2048 "rfft fast f64 2048" OFF) +option(RFFT_FAST_F64_4096 "rfft fast f64 4096" OFF) + + +option(RFFT_F64_128 "rfft f64 128" OFF) +option(RFFT_F64_512 "rfft f64 512" OFF) +option(RFFT_F64_2048 "rfft f64 2048" OFF) +option(RFFT_F64_8192 "rfft f64 8192" OFF) + +option(RFFT_Q31_32 "rfft q31 32" OFF) +option(RFFT_Q31_64 "rfft q31 64" OFF) +option(RFFT_Q31_128 "rfft q31 128" OFF) +option(RFFT_Q31_256 "rfft q31 256" OFF) +option(RFFT_Q31_512 "rfft q31 512" OFF) +option(RFFT_Q31_1024 "rfft q31 1024" OFF) +option(RFFT_Q31_2048 "rfft q31 2048" OFF) +option(RFFT_Q31_4096 "rfft q31 4096" OFF) +option(RFFT_Q31_8192 "rfft q31 8192" OFF) + +option(RFFT_Q15_32 "rfft q15 32" OFF) +option(RFFT_Q15_64 "rfft q15 64" OFF) +option(RFFT_Q15_128 "rfft q15 128" OFF) +option(RFFT_Q15_256 "rfft q15 256" OFF) +option(RFFT_Q15_512 "rfft q15 512" OFF) +option(RFFT_Q15_1024 "rfft q15 1024" OFF) +option(RFFT_Q15_2048 "rfft q15 2048" OFF) +option(RFFT_Q15_4096 "rfft q15 4096" OFF) +option(RFFT_Q15_8192 "rfft q15 8192" OFF) + +option(DCT4_F32_128 "dct4 f32 128" OFF) +option(DCT4_F32_512 "dct4 f32 512" OFF) +option(DCT4_F32_2048 "dct4 f32 2048" OFF) +option(DCT4_F32_8192 "dct4 f32 8192" OFF) + +option(DCT4_Q31_128 "dct4 q31 128" OFF) +option(DCT4_Q31_512 "dct4 q31 512" OFF) +option(DCT4_Q31_2048 "dct4 q31 2048" OFF) +option(DCT4_Q31_8192 "dct4 q31 8192" OFF) + +option(DCT4_Q15_128 "dct4 q15 128" OFF) +option(DCT4_Q15_512 "dct4 q15 512" OFF) +option(DCT4_Q15_2048 "dct4 q15 2048" OFF) +option(DCT4_Q15_8192 "dct4 q15 8192" OFF) + + +########################### +# +# CMSIS DSP +# +########################### + + + +add_library(CMSISDSP INTERFACE) + +if (BASICMATH) + add_subdirectory(BasicMathFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPBasicMath) +endif() + +if (COMPLEXMATH) + add_subdirectory(ComplexMathFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPComplexMath) +endif() + +if (CONTROLLER) + add_subdirectory(ControllerFunctions) + # Fast tables inclusion is allowed + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPController PUBLIC ARM_FAST_ALLOW_TABLES) + endif() + target_link_libraries(CMSISDSP INTERFACE CMSISDSPController) +endif() + +if (FASTMATH) + add_subdirectory(FastMathFunctions) + # Fast tables inclusion is allowed + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_FAST_ALLOW_TABLES) + endif() + target_link_libraries(CMSISDSP INTERFACE CMSISDSPFastMath) +endif() + +if (FILTERING) + add_subdirectory(FilteringFunctions) + # Fast tables inclusion is allowed + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_FAST_ALLOW_TABLES) + endif() + target_link_libraries(CMSISDSP INTERFACE CMSISDSPFiltering) +endif() + +if (MATRIX) + add_subdirectory(MatrixFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPMatrix) +endif() + +if (STATISTICS) + add_subdirectory(StatisticsFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPStatistics) +endif() + +if (SUPPORT) + add_subdirectory(SupportFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPSupport) +endif() + +if (TRANSFORM) + add_subdirectory(TransformFunctions) + # FFT tables inclusion is allowed + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPTransform PUBLIC ARM_FFT_ALLOW_TABLES) + endif() + target_link_libraries(CMSISDSP INTERFACE CMSISDSPTransform) +endif() + +if (FILTERING OR CONTROLLER OR FASTMATH OR TRANSFORM OR SVM OR DISTANCE) + add_subdirectory(CommonTables) + if (TRANSFORM) + # FFT tables inclusion is allowed + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FFT_ALLOW_TABLES) + endif() + endif() + if (FILTERING OR CONTROLLER OR FASTMATH) + # Select which tables to include + if (CONFIGTABLE) + target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FAST_ALLOW_TABLES) + endif() + endif() + target_link_libraries(CMSISDSP INTERFACE CMSISDSPCommon) + # Common project is adding ComputeLibrary tables used by SVM and Distance + # when NEon is ON. +endif() + +if (SVM) + add_subdirectory(SVMFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPSVM) +endif() + +if (BAYES) + add_subdirectory(BayesFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPBayes) +endif() + +if (DISTANCE) + add_subdirectory(DistanceFunctions) + target_link_libraries(CMSISDSP INTERFACE CMSISDSPDistance) +endif() + +### Includes +target_include_directories(CMSISDSP INTERFACE "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/CommonTables/CMakeLists.txt b/Firmware/cmsis/dsp/Source/CommonTables/CMakeLists.txt new file mode 100644 index 0000000..e7dd65f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CommonTables/CMakeLists.txt @@ -0,0 +1,41 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPCommon) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPCommon STATIC arm_common_tables.c) + +configLib(CMSISDSPCommon ${ROOT}) +configDsp(CMSISDSPCommon ${ROOT}) + +if (CONFIGTABLE AND ALLFFT) + target_compile_definitions(CMSISDSPCommon PUBLIC ARM_ALL_FFT_TABLES) +endif() + +if (CONFIGTABLE AND ALLFAST) + target_compile_definitions(CMSISDSPCommon PUBLIC ARM_ALL_FAST_TABLES) +endif() + +include(fft) +fft(CMSISDSPCommon) + +include(interpol) +interpol(CMSISDSPCommon) + +target_sources(CMSISDSPCommon PRIVATE arm_const_structs.c) + + +### Includes +target_include_directories(CMSISDSPCommon PUBLIC "${DSP}/Include") + +if (NEON OR NEONEXPERIMENTAL) + target_sources(CMSISDSPCommon PRIVATE "${DSP}/ComputeLibrary/Source/arm_cl_tables.c") +endif() + +if (HELIUM OR MVEF) + target_sources(CMSISDSPCommon PRIVATE "${DSP}/Source/CommonTables/arm_mve_tables.c") +endif() + + diff --git a/Firmware/cmsis/dsp/Source/CommonTables/CommonTables.c b/Firmware/cmsis/dsp/Source/CommonTables/CommonTables.c new file mode 100644 index 0000000..1a387c3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CommonTables/CommonTables.c @@ -0,0 +1,31 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: CommonTables.c + * Description: Combination of all common table source files. + * + * $Date: 08. January 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_common_tables.c" +#include "arm_const_structs.c" +#include "arm_mve_tables.c" diff --git a/Firmware/cmsis/dsp/Source/CommonTables/arm_common_tables.c b/Firmware/cmsis/dsp/Source/CommonTables/arm_common_tables.c new file mode 100644 index 0000000..7de244d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CommonTables/arm_common_tables.c @@ -0,0 +1,70552 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup ComplexFFT + */ + +/** + @addtogroup CFFT_CIFFT Complex FFT Tables + @{ + */ + +/** + @par + Pseudo code for Generation of Bit reversal Table is + @par + 
for (l = 1; l <= N/4; l++)
+  {
+    for (i = 0; i< logN2; i++)
+    {
+      a[i] = l & (1 << i);
+    }
+    for (j = 0; j < logN2; j++)
+    {
+      if (a[j] != 0)
+      y[l] += (1 << ((logN2 - 1) - j));
+    }
+    y[l] = y[l] >> 1;
+   }
+ @par + where N = 4096, logN2 = 12 + @par + N is the maximum FFT Size supported +*/ + +/** + @brief Table for bit reversal process +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024) +const uint16_t armBitRevTable[1024] = { + 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280, + 0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140, + 0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, + 0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0, + 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260, + 0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, + 0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, + 0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050, + 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0, + 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130, + 0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, + 0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0, + 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208, + 0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188, + 0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, + 0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028, + 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8, + 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168, + 0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, + 0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098, + 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258, + 0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, + 0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, + 0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078, + 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8, + 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104, + 0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, + 0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4, + 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224, + 0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, + 0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, + 0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014, + 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294, + 0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154, + 0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, + 0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4, + 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274, + 0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, + 0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, + 0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c, + 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0x0cc, 0x4cc, 0x2cc, + 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x02c, 0x42c, 0x22c, 0x62c, 0x12c, + 0x52c, 0x32c, 0x72c, 0x0ac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, + 0x7ac, 0x06c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0x0ec, + 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x01c, 0x41c, 0x21c, + 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x09c, 0x49c, 0x29c, 0x69c, 0x19c, + 0x59c, 0x39c, 0x79c, 0x05c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, + 0x75c, 0x0dc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x03c, + 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0x0bc, 0x4bc, 0x2bc, + 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x07c, 0x47c, 0x27c, 0x67c, 0x17c, + 0x57c, 0x37c, 0x77c, 0x0fc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, + 0x7fc, 0x002, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x082, + 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x042, 0x442, 0x242, + 0x642, 0x142, 0x542, 0x342, 0x742, 0x0c2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, + 0x5c2, 0x3c2, 0x7c2, 0x022, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, + 0x722, 0x0a2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x062, + 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0x0e2, 0x4e2, 0x2e2, + 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x012, 0x412, 0x212, 0x612, 0x112, + 0x512, 0x312, 0x712, 0x092, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, + 0x792, 0x052, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0x0d2, + 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x032, 0x432, 0x232, + 0x632, 0x132, 0x532, 0x332, 0x732, 0x0b2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, + 0x5b2, 0x3b2, 0x7b2, 0x072, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, + 0x772, 0x0f2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0x00a, + 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x08a, 0x48a, 0x28a, + 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x04a, 0x44a, 0x24a, 0x64a, 0x14a, + 0x54a, 0x34a, 0x74a, 0x0ca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, + 0x7ca, 0x02a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0x0aa, + 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x06a, 0x46a, 0x26a, + 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0x0ea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, + 0x5ea, 0x3ea, 0x7ea, 0x01a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, + 0x71a, 0x09a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, + 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0x0da, 0x4da, 0x2da, + 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x03a, 0x43a, 0x23a, 0x63a, 0x13a, + 0x53a, 0x33a, 0x73a, 0x0ba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, + 0x7ba, 0x07a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0x0fa, + 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x006, 0x406, 0x206, + 0x606, 0x106, 0x506, 0x306, 0x706, 0x086, 0x486, 0x286, 0x686, 0x186, + 0x586, 0x386, 0x786, 0x046, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, + 0x746, 0x0c6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x026, + 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0x0a6, 0x4a6, 0x2a6, + 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x066, 0x466, 0x266, 0x666, 0x166, + 0x566, 0x366, 0x766, 0x0e6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, + 0x7e6, 0x016, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x096, + 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x056, 0x456, 0x256, + 0x656, 0x156, 0x556, 0x356, 0x756, 0x0d6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, + 0x5d6, 0x3d6, 0x7d6, 0x036, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, + 0x736, 0x0b6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x076, + 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0x0f6, 0x4f6, 0x2f6, + 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0x00e, 0x40e, 0x20e, 0x60e, 0x10e, + 0x50e, 0x30e, 0x70e, 0x08e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, + 0x78e, 0x04e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0x0ce, + 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x02e, 0x42e, 0x22e, + 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0x0ae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, + 0x5ae, 0x3ae, 0x7ae, 0x06e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, + 0x76e, 0x0ee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x01e, + 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e, + 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e, + 0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, + 0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be, + 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e, + 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, + 0x5fe, 0x3fe, 0x7fe, 0x001 +}; +#endif + +/** + @brief Double Precision Floating-point Twiddle factors Table Generation +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(double)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(double)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_16[32] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32) + +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_32[64] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, //-0.19509, 0.98079' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, //-0.38268, 0.92388' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, //-0.55557, 0.83147' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //-0.70711, 0.70711' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, //-0.83147, 0.55557' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, //-0.92388, 0.38268' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, //-0.98079, 0.19509' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, //-0.98079,-0.19509' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, //-0.92388,-0.38268' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, //-0.83147,-0.55557' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //-0.70711,-0.70711' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, //-0.55557,-0.83147' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, //-0.38268,-0.92388' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, //-0.19509,-0.98079' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509,-0.98079' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268,-0.92388' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557,-0.83147' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711,-0.70711' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147,-0.55557' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388,-0.38268' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079,-0.19509' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_64[128] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + }; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_128[256] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988' + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518' + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918' + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079' + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003' + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694' + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154' + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388' + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399' + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192' + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773' + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147' + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321' + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301' + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095' + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711' + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156' + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439' + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957' + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557' + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141' + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714' + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756' + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268' + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689' + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028' + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298' + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509' + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673' + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017' + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068' + 0xbff0000000000000, 0x0000000000000000, // -1, 0' + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068' + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017' + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673' + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509' + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298' + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028' + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689' + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268' + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756' + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714' + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141' + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557' + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957' + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439' + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156' + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711' + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095' + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301' + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321' + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147' + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773' + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192' + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399' + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388' + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154' + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694' + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003' + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079' + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918' + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518' + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988' + 0x0000000000000000, 0xbff0000000000000, // 0, -1' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_256[512] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_512[1024] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, //-0.012272, 0.99992 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, //-0.024541, 0.9997 + 0xbfa2d865759455cd, 0x3feffa72effef75d, //-0.036807, 0.99932 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, //-0.049068, 0.9988 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, //-0.061321, 0.99812 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, //-0.073565, 0.99729 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //-0.085797, 0.99631 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, //-0.098017, 0.99518 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992,-0.012272 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997,-0.024541 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932,-0.036807 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988,-0.049068 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812,-0.061321 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729,-0.073565 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631,-0.085797 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518,-0.098017 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, //-0.098017, -0.99518 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //-0.085797, -0.99631 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, //-0.073565, -0.99729 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, //-0.061321, -0.99812 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, //-0.049068, -0.9988 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, //-0.036807, -0.99932 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, //-0.024541, -0.9997 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, //-0.012272, -0.99992 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_1024[2048] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_2048[4096] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096) +/** + @par + Example code for Double Precision Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_4096[8192] = { + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, // 0.0092038, 0.99996 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, // 0.0076698, 0.99997 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, // 0.0061359, 0.99998 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, // 0.0046019, 0.99999 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0xbf5921faaee6472d, 0x3feffffd88586ee6, // -0.001534, 1 + 0xbf6921f8becca4ba, 0x3feffff621621d02, // -0.003068, 1 + 0xbf72d97822f996bc, 0x3fefffe9cb1e2e8d, //-0.0046019, 0.99999 + 0xbf7921f0fe670071, 0x3fefffd8858e8a92, //-0.0061359, 0.99998 + 0xbf7f6a65f9a2a3c5, 0x3fefffc250b5daef, //-0.0076698, 0.99997 + 0xbf82d96b0e509703, 0x3fefffa72c978c4f, //-0.0092038, 0.99996 + 0xbf85fda037ac05e0, 0x3fefff871937ce2f, // -0.010738, 0.99994 + 0xbf8921d1fcdec784, 0x3fefff62169b92db, // -0.012272, 0.99992 + 0xbf8c45ffe1e48ad9, 0x3fefff3824c88f6f, // -0.013805, 0.9999 + 0xbf8f6a296ab997ca, 0x3fefff0943c53bd1, // -0.015339, 0.99988 + 0xbf9147270dad7132, 0x3feffed57398d2b7, // -0.016873, 0.99986 + 0xbf92d936bbe30efd, 0x3feffe9cb44b51a1, // -0.018407, 0.99983 + 0xbf946b4381fce81c, 0x3feffe5f05e578db, // -0.01994, 0.9998 + 0xbf95fd4d21fab226, 0x3feffe1c6870cb77, // -0.021474, 0.99977 + 0xbf978f535ddc9f03, 0x3feffdd4dbf78f52, // -0.023008, 0.99974 + 0xbf992155f7a3667e, 0x3feffd886084cd0d, // -0.024541, 0.9997 + 0xbf9ab354b1504fca, 0x3feffd36f624500c, // -0.026075, 0.99966 + 0xbf9c454f4ce53b1c, 0x3feffce09ce2a679, // -0.027608, 0.99962 + 0xbf9dd7458c64ab39, 0x3feffc8554cd213a, // -0.029142, 0.99958 + 0xbf9f693731d1cf01, 0x3feffc251df1d3f8, // -0.030675, 0.99953 + 0xbfa07d91ff984580, 0x3feffbbff85f9515, // -0.032208, 0.99948 + 0xbfa14685db42c17e, 0x3feffb55e425fdae, // -0.033741, 0.99943 + 0xbfa20f770ceb11c6, 0x3feffae6e1556998, // -0.035274, 0.99938 + 0xbfa2d865759455cd, 0x3feffa72effef75d, // -0.036807, 0.99932 + 0xbfa3a150f6421afc, 0x3feff9fa10348837, // -0.03834, 0.99926 + 0xbfa46a396ff86179, 0x3feff97c4208c014, // -0.039873, 0.9992 + 0xbfa5331ec3bba0eb, 0x3feff8f9858f058b, // -0.041406, 0.99914 + 0xbfa5fc00d290cd43, 0x3feff871dadb81df, // -0.042938, 0.99908 + 0xbfa6c4df7d7d5b84, 0x3feff7e5420320f9, // -0.044471, 0.99901 + 0xbfa78dbaa5874685, 0x3feff753bb1b9164, // -0.046003, 0.99894 + 0xbfa856922bb513c1, 0x3feff6bd463b444d, // -0.047535, 0.99887 + 0xbfa91f65f10dd814, 0x3feff621e3796d7e, // -0.049068, 0.9988 + 0xbfa9e835d6993c87, 0x3feff58192ee0358, // -0.0506, 0.99872 + 0xbfaab101bd5f8317, 0x3feff4dc54b1bed3, // -0.052132, 0.99864 + 0xbfab79c986698b78, 0x3feff43228de1b77, // -0.053664, 0.99856 + 0xbfac428d12c0d7e3, 0x3feff3830f8d575c, // -0.055195, 0.99848 + 0xbfad0b4c436f91d0, 0x3feff2cf08da7321, // -0.056727, 0.99839 + 0xbfadd406f9808ec8, 0x3feff21614e131ed, // -0.058258, 0.9983 + 0xbfae9cbd15ff5527, 0x3feff15833be1965, // -0.05979, 0.99821 + 0xbfaf656e79f820e0, 0x3feff095658e71ad, // -0.061321, 0.99812 + 0xbfb0170d833bf421, 0x3fefefcdaa704562, // -0.062852, 0.99802 + 0xbfb07b614e463064, 0x3fefef0102826191, // -0.064383, 0.99793 + 0xbfb0dfb28ea201e6, 0x3fefee2f6de455ba, // -0.065913, 0.99783 + 0xbfb1440134d709b2, 0x3fefed58ecb673c4, // -0.067444, 0.99772 + 0xbfb1a84d316d4f8a, 0x3fefec7d7f19cffc, // -0.068974, 0.99762 + 0xbfb20c9674ed444c, 0x3fefeb9d2530410f, // -0.070505, 0.99751 + 0xbfb270dcefdfc45b, 0x3fefeab7df1c6005, // -0.072035, 0.9974 + 0xbfb2d52092ce19f6, 0x3fefe9cdad01883a, // -0.073565, 0.99729 + 0xbfb339614e41ffa5, 0x3fefe8de8f03d75c, // -0.075094, 0.99718 + 0xbfb39d9f12c5a299, 0x3fefe7ea85482d60, // -0.076624, 0.99706 + 0xbfb401d9d0e3a507, 0x3fefe6f18ff42c84, // -0.078153, 0.99694 + 0xbfb4661179272096, 0x3fefe5f3af2e3940, // -0.079682, 0.99682 + 0xbfb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // -0.081211, 0.9967 + 0xbfb52e774a4d4d0a, 0x3fefe3e92be9d886, // -0.08274, 0.99657 + 0xbfb592a554489bc8, 0x3fefe2dc89bbff08, // -0.084269, 0.99644 + 0xbfb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // -0.085797, 0.99631 + 0xbfb65af75dd0f87b, 0x3fefe0b485181be3, // -0.087326, 0.99618 + 0xbfb6bf1b3e79b129, 0x3fefdf9922f73307, // -0.088854, 0.99604 + 0xbfb7233b9d236e71, 0x3fefde78d68653fd, // -0.090381, 0.99591 + 0xbfb787586a5d5b21, 0x3fefdd539ff1f456, // -0.091909, 0.99577 + 0xbfb7eb7196b72ee4, 0x3fefdc297f674ba9, // -0.093436, 0.99563 + 0xbfb84f8712c130a0, 0x3fefdafa7514538c, // -0.094963, 0.99548 + 0xbfb8b398cf0c38e0, 0x3fefd9c68127c78c, // -0.09649, 0.99533 + 0xbfb917a6bc29b42c, 0x3fefd88da3d12526, // -0.098017, 0.99518 + 0xbfb97bb0caaba56f, 0x3fefd74fdd40abbf, // -0.099544, 0.99503 + 0xbfb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // -0.10107, 0.99488 + 0xbfba43b90e27f3c4, 0x3fefd4c59536fae4, // -0.1026, 0.99472 + 0xbfbaa7b724495c04, 0x3fefd37914220b84, // -0.10412, 0.99456 + 0xbfbb0bb11e1d5559, 0x3fefd227aa9bd53b, // -0.10565, 0.9944 + 0xbfbb6fa6ec38f64c, 0x3fefd0d158d86087, // -0.10717, 0.99424 + 0xbfbbd3987f31fa0e, 0x3fefcf761f0c77a3, // -0.1087, 0.99407 + 0xbfbc3785c79ec2d5, 0x3fefce15fd6da67b, // -0.11022, 0.99391 + 0xbfbc9b6eb6165c42, 0x3fefccb0f4323aa3, // -0.11175, 0.99374 + 0xbfbcff533b307dc1, 0x3fefcb4703914354, // -0.11327, 0.99356 + 0xbfbd633347858ce4, 0x3fefc9d82bc2915e, // -0.11479, 0.99339 + 0xbfbdc70ecbae9fc8, 0x3fefc8646cfeb721, // -0.11632, 0.99321 + 0xbfbe2ae5b8457f77, 0x3fefc6ebc77f0887, // -0.11784, 0.99303 + 0xbfbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // -0.11937, 0.99285 + 0xbfbef2858d27561b, 0x3fefc3ebc935454c, // -0.12089, 0.99267 + 0xbfbf564e56a9730e, 0x3fefc26470e19fd3, // -0.12241, 0.99248 + 0xbfbfba124b07ad85, 0x3fefc0d832bf043a, // -0.12393, 0.99229 + 0xbfc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // -0.12545, 0.9921 + 0xbfc040c5bb67747e, 0x3fefbdb106021816, // -0.12698, 0.99191 + 0xbfc072a047ba831d, 0x3fefbc1617e44186, // -0.1285, 0.99171 + 0xbfc0a4784ab8bf1d, 0x3fefba7644f068b5, // -0.13002, 0.99151 + 0xbfc0d64dbcb26786, 0x3fefb8d18d66adb7, // -0.13154, 0.99131 + 0xbfc1082095f820b0, 0x3fefb727f187f1c7, // -0.13306, 0.99111 + 0xbfc139f0cedaf576, 0x3fefb5797195d741, // -0.13458, 0.9909 + 0xbfc16bbe5fac5865, 0x3fefb3c60dd2c199, // -0.1361, 0.9907 + 0xbfc19d8940be24e7, 0x3fefb20dc681d54d, // -0.13762, 0.99049 + 0xbfc1cf516a62a077, 0x3fefb0509be6f7db, // -0.13914, 0.99027 + 0xbfc20116d4ec7bce, 0x3fefae8e8e46cfbb, // -0.14066, 0.99006 + 0xbfc232d978aed413, 0x3fefacc79de6c44f, // -0.14218, 0.98984 + 0xbfc264994dfd340a, 0x3fefaafbcb0cfddc, // -0.1437, 0.98962 + 0xbfc296564d2b953e, 0x3fefa92b1600657c, // -0.14521, 0.9894 + 0xbfc2c8106e8e613a, 0x3fefa7557f08a517, // -0.14673, 0.98918 + 0xbfc2f9c7aa7a72af, 0x3fefa57b066e2754, // -0.14825, 0.98895 + 0xbfc32b7bf94516a7, 0x3fefa39bac7a1791, // -0.14976, 0.98872 + 0xbfc35d2d53440db2, 0x3fefa1b7717661d5, // -0.15128, 0.98849 + 0xbfc38edbb0cd8d14, 0x3fef9fce55adb2c8, // -0.1528, 0.98826 + 0xbfc3c0870a383ff6, 0x3fef9de0596b77a3, // -0.15431, 0.98802 + 0xbfc3f22f57db4893, 0x3fef9bed7cfbde29, // -0.15583, 0.98778 + 0xbfc423d4920e4166, 0x3fef99f5c0abd496, // -0.15734, 0.98754 + 0xbfc45576b1293e5a, 0x3fef97f924c9099b, // -0.15886, 0.9873 + 0xbfc48715ad84cdf5, 0x3fef95f7a9a1ec47, // -0.16037, 0.98706 + 0xbfc4b8b17f79fa88, 0x3fef93f14f85ac08, // -0.16189, 0.98681 + 0xbfc4ea4a1f624b61, 0x3fef91e616c43891, // -0.1634, 0.98656 + 0xbfc51bdf8597c5f2, 0x3fef8fd5ffae41db, // -0.16491, 0.98631 + 0xbfc54d71aa74ef02, 0x3fef8dc10a95380d, // -0.16643, 0.98605 + 0xbfc57f008654cbde, 0x3fef8ba737cb4b78, // -0.16794, 0.9858 + 0xbfc5b08c1192e381, 0x3fef898887a36c84, // -0.16945, 0.98554 + 0xbfc5e214448b3fc6, 0x3fef8764fa714ba9, // -0.17096, 0.98528 + 0xbfc61399179a6e94, 0x3fef853c9089595e, // -0.17247, 0.98501 + 0xbfc6451a831d830d, 0x3fef830f4a40c60c, // -0.17398, 0.98475 + 0xbfc676987f7216b8, 0x3fef80dd27ed8204, // -0.17549, 0.98448 + 0xbfc6a81304f64ab2, 0x3fef7ea629e63d6e, // -0.177, 0.98421 + 0xbfc6d98a0c08c8da, 0x3fef7c6a50826840, // -0.17851, 0.98394 + 0xbfc70afd8d08c4ff, 0x3fef7a299c1a322a, // -0.18002, 0.98366 + 0xbfc73c6d8055fe0a, 0x3fef77e40d068a90, // -0.18153, 0.98339 + 0xbfc76dd9de50bf31, 0x3fef7599a3a12077, // -0.18304, 0.98311 + 0xbfc79f429f59e11d, 0x3fef734a60446279, // -0.18455, 0.98282 + 0xbfc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // -0.18606, 0.98254 + 0xbfc802092c1d744b, 0x3fef6e9d4d1262ca, // -0.18756, 0.98225 + 0xbfc83366e89c64c5, 0x3fef6c3f7df5bbb7, // -0.18907, 0.98196 + 0xbfc864c0e9b2b6cf, 0x3fef69dcd652f5de, // -0.19057, 0.98167 + 0xbfc8961727c41804, 0x3fef677556883cee, // -0.19208, 0.98138 + 0xbfc8c7699b34ca7e, 0x3fef6508fef47bd5, // -0.19359, 0.98108 + 0xbfc8f8b83c69a60a, 0x3fef6297cff75cb0, // -0.19509, 0.98079 + 0xbfc92a0303c8194f, 0x3fef6021c9f148c2, // -0.19659, 0.98048 + 0xbfc95b49e9b62af9, 0x3fef5da6ed43685d, // -0.1981, 0.98018 + 0xbfc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // -0.1996, 0.97988 + 0xbfc9bdcbf2dc4366, 0x3fef58a2b1789e84, // -0.2011, 0.97957 + 0xbfc9ef0706e35a35, 0x3fef56195321c090, // -0.20261, 0.97926 + 0xbfca203e1b1831da, 0x3fef538b1faf2d07, // -0.20411, 0.97895 + 0xbfca517127e3dabc, 0x3fef50f81785c6b9, // -0.20561, 0.97863 + 0xbfca82a025b00451, 0x3fef4e603b0b2f2d, // -0.20711, 0.97832 + 0xbfcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // -0.20861, 0.978 + 0xbfcae4f1d5f3b9ab, 0x3fef492206bcabb4, // -0.21011, 0.97768 + 0xbfcb16147941ca2a, 0x3fef467bafb7bbe0, // -0.21161, 0.97735 + 0xbfcb4732ef3d6722, 0x3fef43d085ff92dd, // -0.21311, 0.97703 + 0xbfcb784d30536cda, 0x3fef412089fd8adc, // -0.21461, 0.9767 + 0xbfcba96334f15dad, 0x3fef3e6bbc1bbc65, // -0.21611, 0.97637 + 0xbfcbda74f5856330, 0x3fef3bb21cc4fe47, // -0.2176, 0.97604 + 0xbfcc0b826a7e4f63, 0x3fef38f3ac64e589, // -0.2191, 0.9757 + 0xbfcc3c8b8c4b9dd7, 0x3fef36306b67c556, // -0.2206, 0.97536 + 0xbfcc6d90535d74dc, 0x3fef33685a3aaef0, // -0.22209, 0.97503 + 0xbfcc9e90b824a6a9, 0x3fef309b794b719f, // -0.22359, 0.97468 + 0xbfcccf8cb312b286, 0x3fef2dc9c9089a9d, // -0.22508, 0.97434 + 0xbfcd00843c99c5f9, 0x3fef2af349e17507, // -0.22658, 0.97399 + 0xbfcd31774d2cbdee, 0x3fef2817fc4609ce, // -0.22807, 0.97364 + 0xbfcd6265dd3f27e3, 0x3fef2537e0a71f9f, // -0.22957, 0.97329 + 0xbfcd934fe5454311, 0x3fef2252f7763ada, // -0.23106, 0.97294 + 0xbfcdc4355db40195, 0x3fef1f6941259d7a, // -0.23255, 0.97258 + 0xbfcdf5163f01099a, 0x3fef1c7abe284708, // -0.23404, 0.97223 + 0xbfce25f281a2b684, 0x3fef19876ef1f486, // -0.23553, 0.97187 + 0xbfce56ca1e101a1b, 0x3fef168f53f7205d, // -0.23702, 0.9715 + 0xbfce879d0cc0fdaf, 0x3fef13926dad024e, // -0.23851, 0.97114 + 0xbfceb86b462de348, 0x3fef1090bc898f5f, // -0.24, 0.97077 + 0xbfcee934c2d006c7, 0x3fef0d8a410379c5, // -0.24149, 0.9704 + 0xbfcf19f97b215f1a, 0x3fef0a7efb9230d7, // -0.24298, 0.97003 + 0xbfcf4ab9679c9f5c, 0x3fef076eecade0fa, // -0.24447, 0.96966 + 0xbfcf7b7480bd3801, 0x3fef045a14cf738c, // -0.24596, 0.96928 + 0xbfcfac2abeff57ff, 0x3fef014074708ed3, // -0.24744, 0.9689 + 0xbfcfdcdc1adfedf8, 0x3feefe220c0b95ec, // -0.24893, 0.96852 + 0xbfd006c4466e54af, 0x3feefafedc1ba8b7, // -0.25041, 0.96814 + 0xbfd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // -0.2519, 0.96775 + 0xbfd037694a928cac, 0x3feef4aa278b2032, // -0.25338, 0.96737 + 0xbfd04fb80e37fdae, 0x3feef178a3e473c2, // -0.25487, 0.96698 + 0xbfd068044deab002, 0x3feeee425aa6b09a, // -0.25635, 0.96658 + 0xbfd0804e05eb661e, 0x3feeeb074c50a544, // -0.25783, 0.96619 + 0xbfd09895327b465e, 0x3feee7c77961dc9e, // -0.25931, 0.96579 + 0xbfd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // -0.26079, 0.96539 + 0xbfd0c91bda4f158d, 0x3feee13987bbebdc, // -0.26227, 0.96499 + 0xbfd0e15b4e1749cd, 0x3feeddeb6a078651, // -0.26375, 0.96459 + 0xbfd0f998277733f7, 0x3feeda9889bfe86a, // -0.26523, 0.96418 + 0xbfd111d262b1f677, 0x3feed740e7684963, // -0.26671, 0.96378 + 0xbfd12a09fc0b1b12, 0x3feed3e483849c51, // -0.26819, 0.96337 + 0xbfd1423eefc69378, 0x3feed0835e999009, // -0.26967, 0.96295 + 0xbfd15a713a28b9d9, 0x3feecd1d792c8f10, // -0.27115, 0.96254 + 0xbfd172a0d7765177, 0x3feec9b2d3c3bf84, // -0.27262, 0.96212 + 0xbfd18acdc3f4873a, 0x3feec6436ee60309, // -0.2741, 0.9617 + 0xbfd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // -0.27557, 0.96128 + 0xbfd1bb1f7b999480, 0x3feebf5668eaf2ef, // -0.27705, 0.96086 + 0xbfd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // -0.27852, 0.96043 + 0xbfd1eb6643499fbb, 0x3feeb8566b810f2a, // -0.27999, 0.96 + 0xbfd2038583d727bd, 0x3feeb4cf515b8811, // -0.28146, 0.95957 + 0xbfd21ba1fd3d2623, 0x3feeb1437af9bb34, // -0.28294, 0.95914 + 0xbfd233bbabc3bb72, 0x3feeadb2e8e7a88e, // -0.28441, 0.9587 + 0xbfd24bd28bb37672, 0x3feeaa1d9bb20af3, // -0.28588, 0.95827 + 0xbfd263e6995554ba, 0x3feea68393e65800, // -0.28735, 0.95783 + 0xbfd27bf7d0f2c346, 0x3feea2e4d212c000, // -0.28882, 0.95738 + 0xbfd294062ed59f05, 0x3fee9f4156c62dda, // -0.29028, 0.95694 + 0xbfd2ac11af483572, 0x3fee9b99229046f8, // -0.29175, 0.95649 + 0xbfd2c41a4e954520, 0x3fee97ec36016b30, // -0.29322, 0.95605 + 0xbfd2dc200907fe51, 0x3fee943a91aab4b4, // -0.29469, 0.95559 + 0xbfd2f422daec0386, 0x3fee9084361df7f3, // -0.29615, 0.95514 + 0xbfd30c22c08d6a13, 0x3fee8cc923edc388, // -0.29762, 0.95469 + 0xbfd3241fb638baaf, 0x3fee89095bad6025, // -0.29908, 0.95423 + 0xbfd33c19b83af207, 0x3fee8544ddf0d075, // -0.30054, 0.95377 + 0xbfd35410c2e18152, 0x3fee817bab4cd10d, // -0.30201, 0.95331 + 0xbfd36c04d27a4edf, 0x3fee7dadc456d850, // -0.30347, 0.95284 + 0xbfd383f5e353b6aa, 0x3fee79db29a5165a, // -0.30493, 0.95238 + 0xbfd39be3f1bc8aef, 0x3fee7603dbce74e9, // -0.30639, 0.95191 + 0xbfd3b3cefa0414b7, 0x3fee7227db6a9744, // -0.30785, 0.95144 + 0xbfd3cbb6f87a146e, 0x3fee6e472911da27, // -0.30931, 0.95096 + 0xbfd3e39be96ec271, 0x3fee6a61c55d53a7, // -0.31077, 0.95049 + 0xbfd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // -0.31222, 0.95001 + 0xbfd4135c94176602, 0x3fee6288ec48e112, // -0.31368, 0.94953 + 0xbfd42b38466e2928, 0x3fee5e95781ebf1c, // -0.31514, 0.94905 + 0xbfd44310dc8936f0, 0x3fee5a9d550467d3, // -0.31659, 0.94856 + 0xbfd45ae652bb2800, 0x3fee56a083968eb1, // -0.31805, 0.94807 + 0xbfd472b8a5571054, 0x3fee529f04729ffc, // -0.3195, 0.94759 + 0xbfd48a87d0b07fd7, 0x3fee4e98d836c0af, // -0.32096, 0.94709 + 0xbfd4a253d11b82f3, 0x3fee4a8dff81ce5e, // -0.32241, 0.9466 + 0xbfd4ba1ca2eca31c, 0x3fee467e7af35f23, // -0.32386, 0.94611 + 0xbfd4d1e24278e76a, 0x3fee426a4b2bc17e, // -0.32531, 0.94561 + 0xbfd4e9a4ac15d520, 0x3fee3e5170cbfc46, // -0.32676, 0.94511 + 0xbfd50163dc197047, 0x3fee3a33ec75ce85, // -0.32821, 0.9446 + 0xbfd5191fceda3c35, 0x3fee3611becbaf69, // -0.32966, 0.9441 + 0xbfd530d880af3c24, 0x3fee31eae870ce25, // -0.33111, 0.94359 + 0xbfd5488dedeff3be, 0x3fee2dbf6a0911d9, // -0.33255, 0.94308 + 0xbfd5604012f467b4, 0x3fee298f4439197a, // -0.334, 0.94257 + 0xbfd577eeec151e47, 0x3fee255a77a63bb8, // -0.33545, 0.94206 + 0xbfd58f9a75ab1fdd, 0x3fee212104f686e5, // -0.33689, 0.94154 + 0xbfd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // -0.33833, 0.94103 + 0xbfd5bee78b9db3b6, 0x3fee18a02fdc66d9, // -0.33978, 0.94051 + 0xbfd5d68910aee686, 0x3fee1458cec1ad83, // -0.34122, 0.93998 + 0xbfd5ee27379ea693, 0x3fee100cca2980ac, // -0.34266, 0.93946 + 0xbfd605c1fcc88f63, 0x3fee0bbc22bd8349, // -0.3441, 0.93893 + 0xbfd61d595c88c203, 0x3fee0766d9280f54, // -0.34554, 0.9384 + 0xbfd634ed533be58e, 0x3fee030cee1435b8, // -0.34698, 0.93787 + 0xbfd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // -0.34842, 0.93734 + 0xbfd6640af6f03d9e, 0x3fedfa4b3621271d, // -0.34986, 0.9368 + 0xbfd67b949cad63ca, 0x3fedf5e36a9ba59c, // -0.35129, 0.93627 + 0xbfd6931acad55f51, 0x3fedf177004b2534, // -0.35273, 0.93573 + 0xbfd6aa9d7dc77e16, 0x3feded05f7de47da, // -0.35416, 0.93518 + 0xbfd6c21cb1e39771, 0x3fede890520465ce, // -0.3556, 0.93464 + 0xbfd6d998638a0cb5, 0x3fede4160f6d8d81, // -0.35703, 0.93409 + 0xbfd6f1108f1bc9c5, 0x3feddf9730ca837b, // -0.35846, 0.93354 + 0xbfd7088530fa459e, 0x3feddb13b6ccc23d, // -0.3599, 0.93299 + 0xbfd71ff6458782ec, 0x3fedd68ba2267a25, // -0.36133, 0.93244 + 0xbfd73763c9261092, 0x3fedd1fef38a915a, // -0.36276, 0.93188 + 0xbfd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // -0.36418, 0.93133 + 0xbfd766340f2418f6, 0x3fedc8d7cb410260, // -0.36561, 0.93077 + 0xbfd77d96ca4b73a6, 0x3fedc43d52fcb453, // -0.36704, 0.93021 + 0xbfd794f5e613dfae, 0x3fedbf9e4395759a, // -0.36847, 0.92964 + 0xbfd7ac515ee2b172, 0x3fedbafa9dc1b78d, // -0.36989, 0.92907 + 0xbfd7c3a9311dcce7, 0x3fedb6526238a09b, // -0.37132, 0.92851 + 0xbfd7dafd592ba621, 0x3fedb1a591b20c38, // -0.37274, 0.92794 + 0xbfd7f24dd37341e3, 0x3fedacf42ce68ab9, // -0.37416, 0.92736 + 0xbfd8099a9c5c362d, 0x3feda83e348f613b, // -0.37559, 0.92679 + 0xbfd820e3b04eaac4, 0x3feda383a9668988, // -0.37701, 0.92621 + 0xbfd838290bb359c8, 0x3fed9ec48c26b1f3, // -0.37843, 0.92563 + 0xbfd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // -0.37985, 0.92505 + 0xbfd866a88a792ea0, 0x3fed95389e50429b, // -0.38127, 0.92447 + 0xbfd87de2a6aea963, 0x3fed906bcf328d46, // -0.38268, 0.92388 + 0xbfd89518fbff098e, 0x3fed8b9a70ef9cb4, // -0.3841, 0.92329 + 0xbfd8ac4b86d5ed44, 0x3fed86c48445a450, // -0.38552, 0.9227 + 0xbfd8c37a439f884f, 0x3fed81ea09f38b63, // -0.38693, 0.92211 + 0xbfd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // -0.38835, 0.92151 + 0xbfd8f1cc44bea329, 0x3fed78276f5617c6, // -0.38976, 0.92092 + 0xbfd908ef81ef7bd1, 0x3fed733f508c0dff, // -0.39117, 0.92032 + 0xbfd9200ee2c9be97, 0x3fed6e52a71c8547, // -0.39258, 0.91972 + 0xbfd9372a63bc93d7, 0x3fed696173c9e68b, // -0.39399, 0.91911 + 0xbfd94e420137bce3, 0x3fed646bb7574de5, // -0.3954, 0.91851 + 0xbfd96555b7ab948f, 0x3fed5f7172888a7f, // -0.39681, 0.9179 + 0xbfd97c6583890fc2, 0x3fed5a72a6221e73, // -0.39822, 0.91729 + 0xbfd993716141bdfe, 0x3fed556f52e93eb1, // -0.39962, 0.91668 + 0xbfd9aa794d47c9ee, 0x3fed506779a3d2d9, // -0.40103, 0.91606 + 0xbfd9c17d440df9f2, 0x3fed4b5b1b187524, // -0.40243, 0.91545 + 0xbfd9d87d4207b0ab, 0x3fed464a380e7242, // -0.40384, 0.91483 + 0xbfd9ef7943a8ed8a, 0x3fed4134d14dc93a, // -0.40524, 0.91421 + 0xbfda067145664d57, 0x3fed3c1ae79f2b4e, // -0.40664, 0.91359 + 0xbfda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // -0.40804, 0.91296 + 0xbfda34553b0afee5, 0x3fed31d98e9e503a, // -0.40944, 0.91234 + 0xbfda4b4127dea1e4, 0x3fed2cb220e0ef9f, // -0.41084, 0.91171 + 0xbfda622906a70b63, 0x3fed2786335f52fc, // -0.41224, 0.91107 + 0xbfda790cd3dbf31a, 0x3fed2255c6e5a4e1, // -0.41364, 0.91044 + 0xbfda8fec8bf5b166, 0x3fed1d20dc40c15c, // -0.41503, 0.90981 + 0xbfdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // -0.41643, 0.90917 + 0xbfdabd9faebc3980, 0x3fed12a98fac410c, // -0.41782, 0.90853 + 0xbfdad473125cdc08, 0x3fed0d672f59d2b9, // -0.41922, 0.90789 + 0xbfdaeb4252ca07ab, 0x3fed082054168bac, // -0.42061, 0.90724 + 0xbfdb020d6c7f4009, 0x3fed02d4feb2bd92, // -0.422, 0.9066 + 0xbfdb18d45bf8aca6, 0x3fecfd852fff6ad4, // -0.42339, 0.90595 + 0xbfdb2f971db31972, 0x3fecf830e8ce467b, // -0.42478, 0.9053 + 0xbfdb4655ae2bf757, 0x3fecf2d829f1b40e, // -0.42617, 0.90464 + 0xbfdb5d1009e15cc0, 0x3feced7af43cc773, // -0.42756, 0.90399 + 0xbfdb73c62d520624, 0x3fece819488344ce, // -0.42894, 0.90333 + 0xbfdb8a7814fd5693, 0x3fece2b32799a060, // -0.43033, 0.90267 + 0xbfdba125bd63583e, 0x3fecdd489254fe65, // -0.43171, 0.90201 + 0xbfdbb7cf2304bd01, 0x3fecd7d9898b32f6, // -0.43309, 0.90135 + 0xbfdbce744262deee, 0x3fecd2660e12c1e6, // -0.43448, 0.90068 + 0xbfdbe51517ffc0d9, 0x3fecccee20c2de9f, // -0.43586, 0.90002 + 0xbfdbfbb1a05e0edc, 0x3fecc771c2736c09, // -0.43724, 0.89935 + 0xbfdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // -0.43862, 0.89867 + 0xbfdc28ddbb6cf145, 0x3fecbc6bb638d10b, // -0.43999, 0.898 + 0xbfdc3f6d47263129, 0x3fecb6e20a00da99, // -0.44137, 0.89732 + 0xbfdc55f877b23537, 0x3fecb153f02fb87d, // -0.44275, 0.89665 + 0xbfdc6c7f4997000a, 0x3fecabc169a0b901, // -0.44412, 0.89597 + 0xbfdc8301b95b40c2, 0x3feca62a772fd919, // -0.4455, 0.89528 + 0xbfdc997fc3865388, 0x3feca08f19b9c449, // -0.44687, 0.8946 + 0xbfdcaff964a0421d, 0x3fec9aef521bd480, // -0.44824, 0.89391 + 0xbfdcc66e9931c45d, 0x3fec954b213411f5, // -0.44961, 0.89322 + 0xbfdcdcdf5dc440ce, 0x3fec8fa287e13305, // -0.45098, 0.89253 + 0xbfdcf34baee1cd21, 0x3fec89f587029c13, // -0.45235, 0.89184 + 0xbfdd09b389152ec1, 0x3fec84441f785f61, // -0.45372, 0.89115 + 0xbfdd2016e8e9db5b, 0x3fec7e8e52233cf3, // -0.45508, 0.89045 + 0xbfdd3675caebf962, 0x3fec78d41fe4a267, // -0.45645, 0.88975 + 0xbfdd4cd02ba8609c, 0x3fec7315899eaad7, // -0.45781, 0.88905 + 0xbfdd632607ac9aa9, 0x3fec6d5290341eb2, // -0.45918, 0.88835 + 0xbfdd79775b86e389, 0x3fec678b3488739b, // -0.46054, 0.88764 + 0xbfdd8fc423c62a25, 0x3fec61bf777fcc48, // -0.4619, 0.88693 + 0xbfdda60c5cfa10d8, 0x3fec5bef59fef85a, // -0.46326, 0.88622 + 0xbfddbc5003b2edf8, 0x3fec561adceb743e, // -0.46462, 0.88551 + 0xbfddd28f1481cc58, 0x3fec5042012b6907, // -0.46598, 0.8848 + 0xbfdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // -0.46733, 0.88408 + 0xbfddfeff66a941de, 0x3fec44833141c004, // -0.46869, 0.88336 + 0xbfde1530a12779f4, 0x3fec3e9d3ee7d262, // -0.47004, 0.88264 + 0xbfde2b5d3806f63b, 0x3fec38b2f180bdb1, // -0.4714, 0.88192 + 0xbfde418527dc4ffa, 0x3fec32c449f60831, // -0.47275, 0.8812 + 0xbfde57a86d3cd824, 0x3fec2cd14931e3f1, // -0.4741, 0.88047 + 0xbfde6dc704be97e2, 0x3fec26d9f01f2eaf, // -0.47545, 0.87974 + 0xbfde83e0eaf85113, 0x3fec20de3fa971b0, // -0.4768, 0.87901 + 0xbfde99f61c817eda, 0x3fec1ade38bce19b, // -0.47815, 0.87828 + 0xbfdeb00695f25620, 0x3fec14d9dc465e58, // -0.47949, 0.87755 + 0xbfdec61253e3c61b, 0x3fec0ed12b3372e9, // -0.48084, 0.87681 + 0xbfdedc1952ef78d5, 0x3fec08c426725549, // -0.48218, 0.87607 + 0xbfdef21b8fafd3b5, 0x3fec02b2cef1e641, // -0.48353, 0.87533 + 0xbfdf081906bff7fd, 0x3febfc9d25a1b147, // -0.48487, 0.87459 + 0xbfdf1e11b4bbc35c, 0x3febf6832b71ec5b, // -0.48621, 0.87384 + 0xbfdf3405963fd068, 0x3febf064e15377dd, // -0.48755, 0.87309 + 0xbfdf49f4a7e97729, 0x3febea424837de6d, // -0.48889, 0.87235 + 0xbfdf5fdee656cda3, 0x3febe41b611154c1, // -0.49023, 0.8716 + 0xbfdf75c44e26a852, 0x3febddf02cd2b983, // -0.49156, 0.87084 + 0xbfdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // -0.4929, 0.87009 + 0xbfdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // -0.49423, 0.86933 + 0xbfdfb7575c24d2de, 0x3febcb54cb0d2327, // -0.49557, 0.86857 + 0xbfdfcd2947c1ff57, 0x3febc5186bf8361d, // -0.4969, 0.86781 + 0xbfdfe2f64be7120f, 0x3febbed7c49380ea, // -0.49823, 0.86705 + 0xbfdff8be6537615e, 0x3febb892d5d5dad5, // -0.49956, 0.86628 + 0xbfe00740c82b82e0, 0x3febb249a0b6c40d, // -0.50089, 0.86551 + 0xbfe0121fe4f56d2c, 0x3febabfc262e6586, // -0.50221, 0.86474 + 0xbfe01cfc874c3eb7, 0x3feba5aa673590d2, // -0.50354, 0.86397 + 0xbfe027d6ad83287e, 0x3feb9f5464c5bffc, // -0.50486, 0.8632 + 0xbfe032ae55edbd95, 0x3feb98fa1fd9155e, // -0.50619, 0.86242 + 0xbfe03d837edff370, 0x3feb929b996a5b7f, // -0.50751, 0.86165 + 0xbfe0485626ae221a, 0x3feb8c38d27504e9, // -0.50883, 0.86087 + 0xbfe053264bad0483, 0x3feb85d1cbf52c02, // -0.51015, 0.86009 + 0xbfe05df3ec31b8b6, 0x3feb7f6686e792ea, // -0.51147, 0.8593 + 0xbfe068bf0691c028, 0x3feb78f70449a34b, // -0.51279, 0.85852 + 0xbfe073879922ffed, 0x3feb728345196e3e, // -0.5141, 0.85773 + 0xbfe07e4da23bc102, 0x3feb6c0b4a55ac17, // -0.51542, 0.85694 + 0xbfe089112032b08c, 0x3feb658f14fdbc47, // -0.51673, 0.85615 + 0xbfe093d2115ee018, 0x3feb5f0ea611a532, // -0.51804, 0.85535 + 0xbfe09e907417c5e1, 0x3feb5889fe921405, // -0.51936, 0.85456 + 0xbfe0a94c46b53d0b, 0x3feb52011f805c92, // -0.52067, 0.85376 + 0xbfe0b405878f85ec, 0x3feb4b7409de7925, // -0.52198, 0.85296 + 0xbfe0bebc34ff4646, 0x3feb44e2beaf0a61, // -0.52328, 0.85216 + 0xbfe0c9704d5d898f, 0x3feb3e4d3ef55712, // -0.52459, 0.85136 + 0xbfe0d421cf03c12b, 0x3feb37b38bb54c09, // -0.5259, 0.85055 + 0xbfe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // -0.5272, 0.84974 + 0xbfe0e97d078fd23b, 0x3feb2a738eb51f33, // -0.5285, 0.84893 + 0xbfe0f426bb2a8e7d, 0x3feb23cd470013b4, // -0.5298, 0.84812 + 0xbfe0fecdd1770537, 0x3feb1d22cfdadcc6, // -0.5311, 0.84731 + 0xbfe1097248d0a956, 0x3feb16742a4ca2f5, // -0.5324, 0.84649 + 0xbfe114141f935545, 0x3feb0fc1575d33db, // -0.5337, 0.84567 + 0xbfe11eb3541b4b22, 0x3feb090a58150200, // -0.535, 0.84485 + 0xbfe1294fe4c5350a, 0x3feb024f2d7d24a9, // -0.53629, 0.84403 + 0xbfe133e9cfee254e, 0x3feafb8fd89f57b6, // -0.53759, 0.84321 + 0xbfe13e8113f396c1, 0x3feaf4cc5a85fb73, // -0.53888, 0.84238 + 0xbfe14915af336ceb, 0x3feaee04b43c1474, // -0.54017, 0.84155 + 0xbfe153a7a00bf453, 0x3feae738e6cd4b67, // -0.54146, 0.84073 + 0xbfe15e36e4dbe2bc, 0x3feae068f345ecef, // -0.54275, 0.83989 + 0xbfe168c37c025764, 0x3fead994dab2e979, // -0.54404, 0.83906 + 0xbfe1734d63dedb49, 0x3fead2bc9e21d511, // -0.54532, 0.83822 + 0xbfe17dd49ad16161, 0x3feacbe03ea0e73b, // -0.54661, 0.83739 + 0xbfe188591f3a46e5, 0x3feac4ffbd3efac8, // -0.54789, 0.83655 + 0xbfe192daef7a5386, 0x3feabe1b1b0b8dac, // -0.54918, 0.83571 + 0xbfe19d5a09f2b9b8, 0x3feab7325916c0d4, // -0.55046, 0.83486 + 0xbfe1a7d66d0516e6, 0x3feab045787157ff, // -0.55174, 0.83402 + 0xbfe1b250171373be, 0x3feaa9547a2cb98e, // -0.55302, 0.83317 + 0xbfe1bcc706804467, 0x3feaa25f5f5aee60, // -0.55429, 0.83232 + 0xbfe1c73b39ae68c8, 0x3fea9b66290ea1a3, // -0.55557, 0.83147 + 0xbfe1d1acaf012cc2, 0x3fea9468d85b20ae, // -0.55685, 0.83062 + 0xbfe1dc1b64dc4872, 0x3fea8d676e545ad2, // -0.55812, 0.82976 + 0xbfe1e68759a3e074, 0x3fea8661ec0ee133, // -0.55939, 0.8289 + 0xbfe1f0f08bbc861b, 0x3fea7f58529fe69d, // -0.56066, 0.82805 + 0xbfe1fb56f98b37b8, 0x3fea784aa31d3f55, // -0.56193, 0.82718 + 0xbfe205baa17560d6, 0x3fea7138de9d60f5, // -0.5632, 0.82632 + 0xbfe2101b81e0da78, 0x3fea6a230637623b, // -0.56447, 0.82546 + 0xbfe21a799933eb58, 0x3fea63091b02fae2, // -0.56573, 0.82459 + 0xbfe224d4e5d5482e, 0x3fea5beb1e188375, // -0.567, 0.82372 + 0xbfe22f2d662c13e1, 0x3fea54c91090f524, // -0.56826, 0.82285 + 0xbfe23983189fdfd5, 0x3fea4da2f385e997, // -0.56952, 0.82198 + 0xbfe243d5fb98ac1f, 0x3fea4678c8119ac8, // -0.57078, 0.8211 + 0xbfe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // -0.57204, 0.82023 + 0xbfe258734cbb7110, 0x3fea38184a593bc6, // -0.5733, 0.81935 + 0xbfe262bdb7b795a2, 0x3fea30e1fa4cbf81, // -0.57455, 0.81847 + 0xbfe26d054cdd12df, 0x3fea29a7a0462782, // -0.57581, 0.81758 + 0xbfe2774a0a961612, 0x3fea22693d62ccb9, // -0.57706, 0.8167 + 0xbfe2818bef4d3cba, 0x3fea1b26d2c0a75e, // -0.57831, 0.81581 + 0xbfe28bcaf96d94ba, 0x3fea13e0617e4ec7, // -0.57956, 0.81493 + 0xbfe2960727629ca8, 0x3fea0c95eabaf937, // -0.58081, 0.81404 + 0xbfe2a040779843fb, 0x3fea05476f967bb5, // -0.58206, 0.81314 + 0xbfe2aa76e87aeb58, 0x3fe9fdf4f13149de, // -0.58331, 0.81225 + 0xbfe2b4aa787764c4, 0x3fe9f69e70ac75bc, // -0.58455, 0.81135 + 0xbfe2bedb25faf3ea, 0x3fe9ef43ef29af94, // -0.5858, 0.81046 + 0xbfe2c908ef734e57, 0x3fe9e7e56dcb45bd, // -0.58704, 0.80956 + 0xbfe2d333d34e9bb7, 0x3fe9e082edb42472, // -0.58828, 0.80866 + 0xbfe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // -0.58952, 0.80775 + 0xbfe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // -0.59076, 0.80685 + 0xbfe2f1a30d86773a, 0x3fe9ca438080eadb, // -0.592, 0.80594 + 0xbfe2fbc24b441015, 0x3fe9c2d110f075c3, // -0.59323, 0.80503 + 0xbfe305de9b921a94, 0x3fe9bb5aa85f2098, // -0.59447, 0.80412 + 0xbfe30ff7fce17035, 0x3fe9b3e047f38741, // -0.5957, 0.80321 + 0xbfe31a0e6da35e44, 0x3fe9ac61f0d4e247, // -0.59693, 0.80229 + 0xbfe32421ec49a620, 0x3fe9a4dfa42b06b2, // -0.59816, 0.80138 + 0xbfe32e3277467d6b, 0x3fe99d59631e65d5, // -0.59939, 0.80046 + 0xbfe338400d0c8e57, 0x3fe995cf2ed80d22, // -0.60062, 0.79954 + 0xbfe3424aac0ef7d6, 0x3fe98e410881a600, // -0.60184, 0.79861 + 0xbfe34c5252c14de1, 0x3fe986aef1457594, // -0.60307, 0.79769 + 0xbfe35656ff9799ae, 0x3fe97f18ea4e5c9e, // -0.60429, 0.79676 + 0xbfe36058b10659f3, 0x3fe9777ef4c7d742, // -0.60551, 0.79584 + 0xbfe36a576582831b, 0x3fe96fe111ddfce0, // -0.60673, 0.79491 + 0xbfe374531b817f8d, 0x3fe9683f42bd7fe1, // -0.60795, 0.79398 + 0xbfe37e4bd1792fe2, 0x3fe960998893ad8c, // -0.60917, 0.79304 + 0xbfe3884185dfeb22, 0x3fe958efe48e6dd7, // -0.61038, 0.79211 + 0xbfe39234372c7f04, 0x3fe9514257dc4335, // -0.6116, 0.79117 + 0xbfe39c23e3d63029, 0x3fe94990e3ac4a6c, // -0.61281, 0.79023 + 0xbfe3a6108a54ba58, 0x3fe941db892e3a65, // -0.61402, 0.78929 + 0xbfe3affa292050b9, 0x3fe93a22499263fc, // -0.61523, 0.78835 + 0xbfe3b9e0beb19e18, 0x3fe932652609b1cf, // -0.61644, 0.7874 + 0xbfe3c3c44981c517, 0x3fe92aa41fc5a815, // -0.61765, 0.78646 + 0xbfe3cda4c80a6076, 0x3fe922df37f8646a, // -0.61885, 0.78551 + 0xbfe3d78238c58343, 0x3fe91b166fd49da2, // -0.62006, 0.78456 + 0xbfe3e15c9a2db922, 0x3fe91349c88da398, // -0.62126, 0.7836 + 0xbfe3eb33eabe0680, 0x3fe90b7943575efe, // -0.62246, 0.78265 + 0xbfe3f50828f1e8d2, 0x3fe903a4e1665133, // -0.62366, 0.78169 + 0xbfe3fed9534556d4, 0x3fe8fbcca3ef940d, // -0.62486, 0.78074 + 0xbfe408a76834c0c0, 0x3fe8f3f08c28d9ac, // -0.62606, 0.77978 + 0xbfe41272663d108c, 0x3fe8ec109b486c49, // -0.62725, 0.77882 + 0xbfe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // -0.62845, 0.77785 + 0xbfe425ff178e6bb1, 0x3fe8dc45331698cc, // -0.62964, 0.77689 + 0xbfe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // -0.63083, 0.77592 + 0xbfe4397f5b2a4380, 0x3fe8cc6a75184655, // -0.63202, 0.77495 + 0xbfe4433ad0117b1d, 0x3fe8c47758fa71cb, // -0.63321, 0.77398 + 0xbfe44cf325091dd6, 0x3fe8bc806b151741, // -0.63439, 0.77301 + 0xbfe456a858917046, 0x3fe8b485aca2a468, // -0.63558, 0.77204 + 0xbfe4605a692b32a2, 0x3fe8ac871ede1d88, // -0.63676, 0.77106 + 0xbfe46a095557a0f1, 0x3fe8a484c3031d50, // -0.63794, 0.77008 + 0xbfe473b51b987347, 0x3fe89c7e9a4dd4ab, // -0.63912, 0.7691 + 0xbfe47d5dba6fde01, 0x3fe89474a5fb0a84, // -0.6403, 0.76812 + 0xbfe48703306091fe, 0x3fe88c66e7481ba1, // -0.64148, 0.76714 + 0xbfe490a57bedbcdf, 0x3fe884555f72fa6b, // -0.64266, 0.76615 + 0xbfe49a449b9b0938, 0x3fe87c400fba2ebf, // -0.64383, 0.76517 + 0xbfe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // -0.645, 0.76418 + 0xbfe4ad79516722f0, 0x3fe86c0a1d9aa195, // -0.64618, 0.76319 + 0xbfe4b70ee48fb869, 0x3fe863e97db3d95a, // -0.64735, 0.7622 + 0xbfe4c0a145ec0004, 0x3fe85bc51ae958cc, // -0.64851, 0.7612 + 0xbfe4ca30740218a3, 0x3fe8539cf67c9029, // -0.64968, 0.76021 + 0xbfe4d3bc6d589f80, 0x3fe84b7111af83f9, // -0.65085, 0.75921 + 0xbfe4dd453076b064, 0x3fe843416dc4cce2, // -0.65201, 0.75821 + 0xbfe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // -0.65317, 0.75721 + 0xbfe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // -0.65433, 0.75621 + 0xbfe4f9cc25cca486, 0x3fe82a9c13f545ff, // -0.65549, 0.7552 + 0xbfe503480159ded2, 0x3fe8225d803964e5, // -0.65665, 0.75419 + 0xbfe50cc09f59a09b, 0x3fe81a1b33b57acc, // -0.65781, 0.75319 + 0xbfe51635fe5601d7, 0x3fe811d52faf94dc, // -0.65896, 0.75218 + 0xbfe51fa81cd99aa6, 0x3fe8098b756e52fa, // -0.66011, 0.75117 + 0xbfe52916f96f8388, 0x3fe8013e0638e795, // -0.66127, 0.75015 + 0xbfe5328292a35596, 0x3fe7f8ece3571771, // -0.66242, 0.74914 + 0xbfe53beae7012abe, 0x3fe7f0980e113978, // -0.66356, 0.74812 + 0xbfe5454ff5159dfb, 0x3fe7e83f87b03686, // -0.66471, 0.7471 + 0xbfe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // -0.66586, 0.74608 + 0xbfe5581038975137, 0x3fe7d7836cc33db2, // -0.667, 0.74506 + 0xbfe5616b6b204e6e, 0x3fe7cf1fdacbf179, // -0.66814, 0.74403 + 0xbfe56ac35197649e, 0x3fe7c6b89ce2d333, // -0.66928, 0.74301 + 0xbfe57417ea8bb75c, 0x3fe7be4db453a27c, // -0.67042, 0.74198 + 0xbfe57d69348cec9f, 0x3fe7b5df226aafb0, // -0.67156, 0.74095 + 0xbfe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // -0.67269, 0.73992 + 0xbfe59001d5f723df, 0x3fe7a4f707bf97d2, // -0.67383, 0.73889 + 0xbfe599492a81ffbc, 0x3fe79c7d8198e56e, // -0.67496, 0.73785 + 0xbfe5a28d2a5d7250, 0x3fe79400574f55e4, // -0.67609, 0.73682 + 0xbfe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // -0.67722, 0.73578 + 0xbfe5b50b264f7448, 0x3fe782fb1b90b35b, // -0.67835, 0.73474 + 0xbfe5be451f8bf980, 0x3fe77a730cbb9100, // -0.67948, 0.7337 + 0xbfe5c77bbe65018c, 0x3fe771e75f037261, // -0.6806, 0.73265 + 0xbfe5d0af016ed1d4, 0x3fe7695813b9b594, // -0.68172, 0.73161 + 0xbfe5d9dee73e345c, 0x3fe760c52c304764, // -0.68285, 0.73056 + 0xbfe5e30b6e6877f3, 0x3fe7582ea9b9a329, // -0.68397, 0.72951 + 0xbfe5ec3495837074, 0x3fe74f948da8d28d, // -0.68508, 0.72846 + 0xbfe5f55a5b2576f8, 0x3fe746f6d9516d59, // -0.6862, 0.72741 + 0xbfe5fe7cbde56a0f, 0x3fe73e558e079942, // -0.68732, 0.72636 + 0xbfe6079bbc5aadfa, 0x3fe735b0ad2009b2, // -0.68843, 0.7253 + 0xbfe610b7551d2cde, 0x3fe72d0837efff97, // -0.68954, 0.72425 + 0xbfe619cf86c55702, 0x3fe7245c2fcd492a, // -0.69065, 0.72319 + 0xbfe622e44fec22ff, 0x3fe71bac960e41bf, // -0.69176, 0.72213 + 0xbfe62bf5af2b0dfd, 0x3fe712f96c09d18d, // -0.69287, 0.72107 + 0xbfe63503a31c1be8, 0x3fe70a42b3176d7a, // -0.69397, 0.72 + 0xbfe63e0e2a59d7aa, 0x3fe701886c8f16e6, // -0.69508, 0.71894 + 0xbfe64715437f535b, 0x3fe6f8ca99c95b75, // -0.69618, 0.71787 + 0xbfe65018ed28287f, 0x3fe6f0093c1f54de, // -0.69728, 0.7168 + 0xbfe6591925f0783e, 0x3fe6e74454eaa8ae, // -0.69838, 0.71573 + 0xbfe66215ec74eb91, 0x3fe6de7be585881d, // -0.69947, 0.71466 + 0xbfe66b0f3f52b386, 0x3fe6d5afef4aafcc, // -0.70057, 0.71358 + 0xbfe674051d27896c, 0x3fe6cce07395679f, // -0.70166, 0.71251 + 0xbfe67cf78491af10, 0x3fe6c40d73c18275, // -0.70275, 0.71143 + 0xbfe685e6742feeef, 0x3fe6bb36f12b5e06, // -0.70385, 0.71035 + 0xbfe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // -0.70493, 0.70927 + 0xbfe697b9e686941c, 0x3fe6a97f692c82ea, // -0.70602, 0.70819 + 0xbfe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // -0.70711, 0.70711 + 0xbfe6a97f692c82ea, 0x3fe697b9e686941c, // -0.70819, 0.70602 + 0xbfe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // -0.70927, 0.70493 + 0xbfe6bb36f12b5e06, 0x3fe685e6742feeef, // -0.71035, 0.70385 + 0xbfe6c40d73c18275, 0x3fe67cf78491af10, // -0.71143, 0.70275 + 0xbfe6cce07395679f, 0x3fe674051d27896c, // -0.71251, 0.70166 + 0xbfe6d5afef4aafcc, 0x3fe66b0f3f52b386, // -0.71358, 0.70057 + 0xbfe6de7be585881d, 0x3fe66215ec74eb91, // -0.71466, 0.69947 + 0xbfe6e74454eaa8ae, 0x3fe6591925f0783e, // -0.71573, 0.69838 + 0xbfe6f0093c1f54de, 0x3fe65018ed28287f, // -0.7168, 0.69728 + 0xbfe6f8ca99c95b75, 0x3fe64715437f535b, // -0.71787, 0.69618 + 0xbfe701886c8f16e6, 0x3fe63e0e2a59d7aa, // -0.71894, 0.69508 + 0xbfe70a42b3176d7a, 0x3fe63503a31c1be8, // -0.72, 0.69397 + 0xbfe712f96c09d18d, 0x3fe62bf5af2b0dfd, // -0.72107, 0.69287 + 0xbfe71bac960e41bf, 0x3fe622e44fec22ff, // -0.72213, 0.69176 + 0xbfe7245c2fcd492a, 0x3fe619cf86c55702, // -0.72319, 0.69065 + 0xbfe72d0837efff97, 0x3fe610b7551d2cde, // -0.72425, 0.68954 + 0xbfe735b0ad2009b2, 0x3fe6079bbc5aadfa, // -0.7253, 0.68843 + 0xbfe73e558e079942, 0x3fe5fe7cbde56a0f, // -0.72636, 0.68732 + 0xbfe746f6d9516d59, 0x3fe5f55a5b2576f8, // -0.72741, 0.6862 + 0xbfe74f948da8d28d, 0x3fe5ec3495837074, // -0.72846, 0.68508 + 0xbfe7582ea9b9a329, 0x3fe5e30b6e6877f3, // -0.72951, 0.68397 + 0xbfe760c52c304764, 0x3fe5d9dee73e345c, // -0.73056, 0.68285 + 0xbfe7695813b9b594, 0x3fe5d0af016ed1d4, // -0.73161, 0.68172 + 0xbfe771e75f037261, 0x3fe5c77bbe65018c, // -0.73265, 0.6806 + 0xbfe77a730cbb9100, 0x3fe5be451f8bf980, // -0.7337, 0.67948 + 0xbfe782fb1b90b35b, 0x3fe5b50b264f7448, // -0.73474, 0.67835 + 0xbfe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // -0.73578, 0.67722 + 0xbfe79400574f55e4, 0x3fe5a28d2a5d7250, // -0.73682, 0.67609 + 0xbfe79c7d8198e56e, 0x3fe599492a81ffbc, // -0.73785, 0.67496 + 0xbfe7a4f707bf97d2, 0x3fe59001d5f723df, // -0.73889, 0.67383 + 0xbfe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // -0.73992, 0.67269 + 0xbfe7b5df226aafb0, 0x3fe57d69348cec9f, // -0.74095, 0.67156 + 0xbfe7be4db453a27c, 0x3fe57417ea8bb75c, // -0.74198, 0.67042 + 0xbfe7c6b89ce2d333, 0x3fe56ac35197649e, // -0.74301, 0.66928 + 0xbfe7cf1fdacbf179, 0x3fe5616b6b204e6e, // -0.74403, 0.66814 + 0xbfe7d7836cc33db2, 0x3fe5581038975137, // -0.74506, 0.667 + 0xbfe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // -0.74608, 0.66586 + 0xbfe7e83f87b03686, 0x3fe5454ff5159dfb, // -0.7471, 0.66471 + 0xbfe7f0980e113978, 0x3fe53beae7012abe, // -0.74812, 0.66356 + 0xbfe7f8ece3571771, 0x3fe5328292a35596, // -0.74914, 0.66242 + 0xbfe8013e0638e795, 0x3fe52916f96f8388, // -0.75015, 0.66127 + 0xbfe8098b756e52fa, 0x3fe51fa81cd99aa6, // -0.75117, 0.66011 + 0xbfe811d52faf94dc, 0x3fe51635fe5601d7, // -0.75218, 0.65896 + 0xbfe81a1b33b57acc, 0x3fe50cc09f59a09b, // -0.75319, 0.65781 + 0xbfe8225d803964e5, 0x3fe503480159ded2, // -0.75419, 0.65665 + 0xbfe82a9c13f545ff, 0x3fe4f9cc25cca486, // -0.7552, 0.65549 + 0xbfe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // -0.75621, 0.65433 + 0xbfe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // -0.75721, 0.65317 + 0xbfe843416dc4cce2, 0x3fe4dd453076b064, // -0.75821, 0.65201 + 0xbfe84b7111af83f9, 0x3fe4d3bc6d589f80, // -0.75921, 0.65085 + 0xbfe8539cf67c9029, 0x3fe4ca30740218a3, // -0.76021, 0.64968 + 0xbfe85bc51ae958cc, 0x3fe4c0a145ec0004, // -0.7612, 0.64851 + 0xbfe863e97db3d95a, 0x3fe4b70ee48fb869, // -0.7622, 0.64735 + 0xbfe86c0a1d9aa195, 0x3fe4ad79516722f0, // -0.76319, 0.64618 + 0xbfe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // -0.76418, 0.645 + 0xbfe87c400fba2ebf, 0x3fe49a449b9b0938, // -0.76517, 0.64383 + 0xbfe884555f72fa6b, 0x3fe490a57bedbcdf, // -0.76615, 0.64266 + 0xbfe88c66e7481ba1, 0x3fe48703306091fe, // -0.76714, 0.64148 + 0xbfe89474a5fb0a84, 0x3fe47d5dba6fde01, // -0.76812, 0.6403 + 0xbfe89c7e9a4dd4ab, 0x3fe473b51b987347, // -0.7691, 0.63912 + 0xbfe8a484c3031d50, 0x3fe46a095557a0f1, // -0.77008, 0.63794 + 0xbfe8ac871ede1d88, 0x3fe4605a692b32a2, // -0.77106, 0.63676 + 0xbfe8b485aca2a468, 0x3fe456a858917046, // -0.77204, 0.63558 + 0xbfe8bc806b151741, 0x3fe44cf325091dd6, // -0.77301, 0.63439 + 0xbfe8c47758fa71cb, 0x3fe4433ad0117b1d, // -0.77398, 0.63321 + 0xbfe8cc6a75184655, 0x3fe4397f5b2a4380, // -0.77495, 0.63202 + 0xbfe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // -0.77592, 0.63083 + 0xbfe8dc45331698cc, 0x3fe425ff178e6bb1, // -0.77689, 0.62964 + 0xbfe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // -0.77785, 0.62845 + 0xbfe8ec109b486c49, 0x3fe41272663d108c, // -0.77882, 0.62725 + 0xbfe8f3f08c28d9ac, 0x3fe408a76834c0c0, // -0.77978, 0.62606 + 0xbfe8fbcca3ef940d, 0x3fe3fed9534556d4, // -0.78074, 0.62486 + 0xbfe903a4e1665133, 0x3fe3f50828f1e8d2, // -0.78169, 0.62366 + 0xbfe90b7943575efe, 0x3fe3eb33eabe0680, // -0.78265, 0.62246 + 0xbfe91349c88da398, 0x3fe3e15c9a2db922, // -0.7836, 0.62126 + 0xbfe91b166fd49da2, 0x3fe3d78238c58343, // -0.78456, 0.62006 + 0xbfe922df37f8646a, 0x3fe3cda4c80a6076, // -0.78551, 0.61885 + 0xbfe92aa41fc5a815, 0x3fe3c3c44981c517, // -0.78646, 0.61765 + 0xbfe932652609b1cf, 0x3fe3b9e0beb19e18, // -0.7874, 0.61644 + 0xbfe93a22499263fc, 0x3fe3affa292050b9, // -0.78835, 0.61523 + 0xbfe941db892e3a65, 0x3fe3a6108a54ba58, // -0.78929, 0.61402 + 0xbfe94990e3ac4a6c, 0x3fe39c23e3d63029, // -0.79023, 0.61281 + 0xbfe9514257dc4335, 0x3fe39234372c7f04, // -0.79117, 0.6116 + 0xbfe958efe48e6dd7, 0x3fe3884185dfeb22, // -0.79211, 0.61038 + 0xbfe960998893ad8c, 0x3fe37e4bd1792fe2, // -0.79304, 0.60917 + 0xbfe9683f42bd7fe1, 0x3fe374531b817f8d, // -0.79398, 0.60795 + 0xbfe96fe111ddfce0, 0x3fe36a576582831b, // -0.79491, 0.60673 + 0xbfe9777ef4c7d742, 0x3fe36058b10659f3, // -0.79584, 0.60551 + 0xbfe97f18ea4e5c9e, 0x3fe35656ff9799ae, // -0.79676, 0.60429 + 0xbfe986aef1457594, 0x3fe34c5252c14de1, // -0.79769, 0.60307 + 0xbfe98e410881a600, 0x3fe3424aac0ef7d6, // -0.79861, 0.60184 + 0xbfe995cf2ed80d22, 0x3fe338400d0c8e57, // -0.79954, 0.60062 + 0xbfe99d59631e65d5, 0x3fe32e3277467d6b, // -0.80046, 0.59939 + 0xbfe9a4dfa42b06b2, 0x3fe32421ec49a620, // -0.80138, 0.59816 + 0xbfe9ac61f0d4e247, 0x3fe31a0e6da35e44, // -0.80229, 0.59693 + 0xbfe9b3e047f38741, 0x3fe30ff7fce17035, // -0.80321, 0.5957 + 0xbfe9bb5aa85f2098, 0x3fe305de9b921a94, // -0.80412, 0.59447 + 0xbfe9c2d110f075c3, 0x3fe2fbc24b441015, // -0.80503, 0.59323 + 0xbfe9ca438080eadb, 0x3fe2f1a30d86773a, // -0.80594, 0.592 + 0xbfe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // -0.80685, 0.59076 + 0xbfe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // -0.80775, 0.58952 + 0xbfe9e082edb42472, 0x3fe2d333d34e9bb7, // -0.80866, 0.58828 + 0xbfe9e7e56dcb45bd, 0x3fe2c908ef734e57, // -0.80956, 0.58704 + 0xbfe9ef43ef29af94, 0x3fe2bedb25faf3ea, // -0.81046, 0.5858 + 0xbfe9f69e70ac75bc, 0x3fe2b4aa787764c4, // -0.81135, 0.58455 + 0xbfe9fdf4f13149de, 0x3fe2aa76e87aeb58, // -0.81225, 0.58331 + 0xbfea05476f967bb5, 0x3fe2a040779843fb, // -0.81314, 0.58206 + 0xbfea0c95eabaf937, 0x3fe2960727629ca8, // -0.81404, 0.58081 + 0xbfea13e0617e4ec7, 0x3fe28bcaf96d94ba, // -0.81493, 0.57956 + 0xbfea1b26d2c0a75e, 0x3fe2818bef4d3cba, // -0.81581, 0.57831 + 0xbfea22693d62ccb9, 0x3fe2774a0a961612, // -0.8167, 0.57706 + 0xbfea29a7a0462782, 0x3fe26d054cdd12df, // -0.81758, 0.57581 + 0xbfea30e1fa4cbf81, 0x3fe262bdb7b795a2, // -0.81847, 0.57455 + 0xbfea38184a593bc6, 0x3fe258734cbb7110, // -0.81935, 0.5733 + 0xbfea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // -0.82023, 0.57204 + 0xbfea4678c8119ac8, 0x3fe243d5fb98ac1f, // -0.8211, 0.57078 + 0xbfea4da2f385e997, 0x3fe23983189fdfd5, // -0.82198, 0.56952 + 0xbfea54c91090f524, 0x3fe22f2d662c13e1, // -0.82285, 0.56826 + 0xbfea5beb1e188375, 0x3fe224d4e5d5482e, // -0.82372, 0.567 + 0xbfea63091b02fae2, 0x3fe21a799933eb58, // -0.82459, 0.56573 + 0xbfea6a230637623b, 0x3fe2101b81e0da78, // -0.82546, 0.56447 + 0xbfea7138de9d60f5, 0x3fe205baa17560d6, // -0.82632, 0.5632 + 0xbfea784aa31d3f55, 0x3fe1fb56f98b37b8, // -0.82718, 0.56193 + 0xbfea7f58529fe69d, 0x3fe1f0f08bbc861b, // -0.82805, 0.56066 + 0xbfea8661ec0ee133, 0x3fe1e68759a3e074, // -0.8289, 0.55939 + 0xbfea8d676e545ad2, 0x3fe1dc1b64dc4872, // -0.82976, 0.55812 + 0xbfea9468d85b20ae, 0x3fe1d1acaf012cc2, // -0.83062, 0.55685 + 0xbfea9b66290ea1a3, 0x3fe1c73b39ae68c8, // -0.83147, 0.55557 + 0xbfeaa25f5f5aee60, 0x3fe1bcc706804467, // -0.83232, 0.55429 + 0xbfeaa9547a2cb98e, 0x3fe1b250171373be, // -0.83317, 0.55302 + 0xbfeab045787157ff, 0x3fe1a7d66d0516e6, // -0.83402, 0.55174 + 0xbfeab7325916c0d4, 0x3fe19d5a09f2b9b8, // -0.83486, 0.55046 + 0xbfeabe1b1b0b8dac, 0x3fe192daef7a5386, // -0.83571, 0.54918 + 0xbfeac4ffbd3efac8, 0x3fe188591f3a46e5, // -0.83655, 0.54789 + 0xbfeacbe03ea0e73b, 0x3fe17dd49ad16161, // -0.83739, 0.54661 + 0xbfead2bc9e21d511, 0x3fe1734d63dedb49, // -0.83822, 0.54532 + 0xbfead994dab2e979, 0x3fe168c37c025764, // -0.83906, 0.54404 + 0xbfeae068f345ecef, 0x3fe15e36e4dbe2bc, // -0.83989, 0.54275 + 0xbfeae738e6cd4b67, 0x3fe153a7a00bf453, // -0.84073, 0.54146 + 0xbfeaee04b43c1474, 0x3fe14915af336ceb, // -0.84155, 0.54017 + 0xbfeaf4cc5a85fb73, 0x3fe13e8113f396c1, // -0.84238, 0.53888 + 0xbfeafb8fd89f57b6, 0x3fe133e9cfee254e, // -0.84321, 0.53759 + 0xbfeb024f2d7d24a9, 0x3fe1294fe4c5350a, // -0.84403, 0.53629 + 0xbfeb090a58150200, 0x3fe11eb3541b4b22, // -0.84485, 0.535 + 0xbfeb0fc1575d33db, 0x3fe114141f935545, // -0.84567, 0.5337 + 0xbfeb16742a4ca2f5, 0x3fe1097248d0a956, // -0.84649, 0.5324 + 0xbfeb1d22cfdadcc6, 0x3fe0fecdd1770537, // -0.84731, 0.5311 + 0xbfeb23cd470013b4, 0x3fe0f426bb2a8e7d, // -0.84812, 0.5298 + 0xbfeb2a738eb51f33, 0x3fe0e97d078fd23b, // -0.84893, 0.5285 + 0xbfeb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // -0.84974, 0.5272 + 0xbfeb37b38bb54c09, 0x3fe0d421cf03c12b, // -0.85055, 0.5259 + 0xbfeb3e4d3ef55712, 0x3fe0c9704d5d898f, // -0.85136, 0.52459 + 0xbfeb44e2beaf0a61, 0x3fe0bebc34ff4646, // -0.85216, 0.52328 + 0xbfeb4b7409de7925, 0x3fe0b405878f85ec, // -0.85296, 0.52198 + 0xbfeb52011f805c92, 0x3fe0a94c46b53d0b, // -0.85376, 0.52067 + 0xbfeb5889fe921405, 0x3fe09e907417c5e1, // -0.85456, 0.51936 + 0xbfeb5f0ea611a532, 0x3fe093d2115ee018, // -0.85535, 0.51804 + 0xbfeb658f14fdbc47, 0x3fe089112032b08c, // -0.85615, 0.51673 + 0xbfeb6c0b4a55ac17, 0x3fe07e4da23bc102, // -0.85694, 0.51542 + 0xbfeb728345196e3e, 0x3fe073879922ffed, // -0.85773, 0.5141 + 0xbfeb78f70449a34b, 0x3fe068bf0691c028, // -0.85852, 0.51279 + 0xbfeb7f6686e792ea, 0x3fe05df3ec31b8b6, // -0.8593, 0.51147 + 0xbfeb85d1cbf52c02, 0x3fe053264bad0483, // -0.86009, 0.51015 + 0xbfeb8c38d27504e9, 0x3fe0485626ae221a, // -0.86087, 0.50883 + 0xbfeb929b996a5b7f, 0x3fe03d837edff370, // -0.86165, 0.50751 + 0xbfeb98fa1fd9155e, 0x3fe032ae55edbd95, // -0.86242, 0.50619 + 0xbfeb9f5464c5bffc, 0x3fe027d6ad83287e, // -0.8632, 0.50486 + 0xbfeba5aa673590d2, 0x3fe01cfc874c3eb7, // -0.86397, 0.50354 + 0xbfebabfc262e6586, 0x3fe0121fe4f56d2c, // -0.86474, 0.50221 + 0xbfebb249a0b6c40d, 0x3fe00740c82b82e0, // -0.86551, 0.50089 + 0xbfebb892d5d5dad5, 0x3fdff8be6537615e, // -0.86628, 0.49956 + 0xbfebbed7c49380ea, 0x3fdfe2f64be7120f, // -0.86705, 0.49823 + 0xbfebc5186bf8361d, 0x3fdfcd2947c1ff57, // -0.86781, 0.4969 + 0xbfebcb54cb0d2327, 0x3fdfb7575c24d2de, // -0.86857, 0.49557 + 0xbfebd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // -0.86933, 0.49423 + 0xbfebd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // -0.87009, 0.4929 + 0xbfebddf02cd2b983, 0x3fdf75c44e26a852, // -0.87084, 0.49156 + 0xbfebe41b611154c1, 0x3fdf5fdee656cda3, // -0.8716, 0.49023 + 0xbfebea424837de6d, 0x3fdf49f4a7e97729, // -0.87235, 0.48889 + 0xbfebf064e15377dd, 0x3fdf3405963fd068, // -0.87309, 0.48755 + 0xbfebf6832b71ec5b, 0x3fdf1e11b4bbc35c, // -0.87384, 0.48621 + 0xbfebfc9d25a1b147, 0x3fdf081906bff7fd, // -0.87459, 0.48487 + 0xbfec02b2cef1e641, 0x3fdef21b8fafd3b5, // -0.87533, 0.48353 + 0xbfec08c426725549, 0x3fdedc1952ef78d5, // -0.87607, 0.48218 + 0xbfec0ed12b3372e9, 0x3fdec61253e3c61b, // -0.87681, 0.48084 + 0xbfec14d9dc465e58, 0x3fdeb00695f25620, // -0.87755, 0.47949 + 0xbfec1ade38bce19b, 0x3fde99f61c817eda, // -0.87828, 0.47815 + 0xbfec20de3fa971b0, 0x3fde83e0eaf85113, // -0.87901, 0.4768 + 0xbfec26d9f01f2eaf, 0x3fde6dc704be97e2, // -0.87974, 0.47545 + 0xbfec2cd14931e3f1, 0x3fde57a86d3cd824, // -0.88047, 0.4741 + 0xbfec32c449f60831, 0x3fde418527dc4ffa, // -0.8812, 0.47275 + 0xbfec38b2f180bdb1, 0x3fde2b5d3806f63b, // -0.88192, 0.4714 + 0xbfec3e9d3ee7d262, 0x3fde1530a12779f4, // -0.88264, 0.47004 + 0xbfec44833141c004, 0x3fddfeff66a941de, // -0.88336, 0.46869 + 0xbfec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // -0.88408, 0.46733 + 0xbfec5042012b6907, 0x3fddd28f1481cc58, // -0.8848, 0.46598 + 0xbfec561adceb743e, 0x3fddbc5003b2edf8, // -0.88551, 0.46462 + 0xbfec5bef59fef85a, 0x3fdda60c5cfa10d8, // -0.88622, 0.46326 + 0xbfec61bf777fcc48, 0x3fdd8fc423c62a25, // -0.88693, 0.4619 + 0xbfec678b3488739b, 0x3fdd79775b86e389, // -0.88764, 0.46054 + 0xbfec6d5290341eb2, 0x3fdd632607ac9aa9, // -0.88835, 0.45918 + 0xbfec7315899eaad7, 0x3fdd4cd02ba8609c, // -0.88905, 0.45781 + 0xbfec78d41fe4a267, 0x3fdd3675caebf962, // -0.88975, 0.45645 + 0xbfec7e8e52233cf3, 0x3fdd2016e8e9db5b, // -0.89045, 0.45508 + 0xbfec84441f785f61, 0x3fdd09b389152ec1, // -0.89115, 0.45372 + 0xbfec89f587029c13, 0x3fdcf34baee1cd21, // -0.89184, 0.45235 + 0xbfec8fa287e13305, 0x3fdcdcdf5dc440ce, // -0.89253, 0.45098 + 0xbfec954b213411f5, 0x3fdcc66e9931c45d, // -0.89322, 0.44961 + 0xbfec9aef521bd480, 0x3fdcaff964a0421d, // -0.89391, 0.44824 + 0xbfeca08f19b9c449, 0x3fdc997fc3865388, // -0.8946, 0.44687 + 0xbfeca62a772fd919, 0x3fdc8301b95b40c2, // -0.89528, 0.4455 + 0xbfecabc169a0b901, 0x3fdc6c7f4997000a, // -0.89597, 0.44412 + 0xbfecb153f02fb87d, 0x3fdc55f877b23537, // -0.89665, 0.44275 + 0xbfecb6e20a00da99, 0x3fdc3f6d47263129, // -0.89732, 0.44137 + 0xbfecbc6bb638d10b, 0x3fdc28ddbb6cf145, // -0.898, 0.43999 + 0xbfecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // -0.89867, 0.43862 + 0xbfecc771c2736c09, 0x3fdbfbb1a05e0edc, // -0.89935, 0.43724 + 0xbfecccee20c2de9f, 0x3fdbe51517ffc0d9, // -0.90002, 0.43586 + 0xbfecd2660e12c1e6, 0x3fdbce744262deee, // -0.90068, 0.43448 + 0xbfecd7d9898b32f6, 0x3fdbb7cf2304bd01, // -0.90135, 0.43309 + 0xbfecdd489254fe65, 0x3fdba125bd63583e, // -0.90201, 0.43171 + 0xbfece2b32799a060, 0x3fdb8a7814fd5693, // -0.90267, 0.43033 + 0xbfece819488344ce, 0x3fdb73c62d520624, // -0.90333, 0.42894 + 0xbfeced7af43cc773, 0x3fdb5d1009e15cc0, // -0.90399, 0.42756 + 0xbfecf2d829f1b40e, 0x3fdb4655ae2bf757, // -0.90464, 0.42617 + 0xbfecf830e8ce467b, 0x3fdb2f971db31972, // -0.9053, 0.42478 + 0xbfecfd852fff6ad4, 0x3fdb18d45bf8aca6, // -0.90595, 0.42339 + 0xbfed02d4feb2bd92, 0x3fdb020d6c7f4009, // -0.9066, 0.422 + 0xbfed082054168bac, 0x3fdaeb4252ca07ab, // -0.90724, 0.42061 + 0xbfed0d672f59d2b9, 0x3fdad473125cdc08, // -0.90789, 0.41922 + 0xbfed12a98fac410c, 0x3fdabd9faebc3980, // -0.90853, 0.41782 + 0xbfed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // -0.90917, 0.41643 + 0xbfed1d20dc40c15c, 0x3fda8fec8bf5b166, // -0.90981, 0.41503 + 0xbfed2255c6e5a4e1, 0x3fda790cd3dbf31a, // -0.91044, 0.41364 + 0xbfed2786335f52fc, 0x3fda622906a70b63, // -0.91107, 0.41224 + 0xbfed2cb220e0ef9f, 0x3fda4b4127dea1e4, // -0.91171, 0.41084 + 0xbfed31d98e9e503a, 0x3fda34553b0afee5, // -0.91234, 0.40944 + 0xbfed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // -0.91296, 0.40804 + 0xbfed3c1ae79f2b4e, 0x3fda067145664d57, // -0.91359, 0.40664 + 0xbfed4134d14dc93a, 0x3fd9ef7943a8ed8a, // -0.91421, 0.40524 + 0xbfed464a380e7242, 0x3fd9d87d4207b0ab, // -0.91483, 0.40384 + 0xbfed4b5b1b187524, 0x3fd9c17d440df9f2, // -0.91545, 0.40243 + 0xbfed506779a3d2d9, 0x3fd9aa794d47c9ee, // -0.91606, 0.40103 + 0xbfed556f52e93eb1, 0x3fd993716141bdfe, // -0.91668, 0.39962 + 0xbfed5a72a6221e73, 0x3fd97c6583890fc2, // -0.91729, 0.39822 + 0xbfed5f7172888a7f, 0x3fd96555b7ab948f, // -0.9179, 0.39681 + 0xbfed646bb7574de5, 0x3fd94e420137bce3, // -0.91851, 0.3954 + 0xbfed696173c9e68b, 0x3fd9372a63bc93d7, // -0.91911, 0.39399 + 0xbfed6e52a71c8547, 0x3fd9200ee2c9be97, // -0.91972, 0.39258 + 0xbfed733f508c0dff, 0x3fd908ef81ef7bd1, // -0.92032, 0.39117 + 0xbfed78276f5617c6, 0x3fd8f1cc44bea329, // -0.92092, 0.38976 + 0xbfed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // -0.92151, 0.38835 + 0xbfed81ea09f38b63, 0x3fd8c37a439f884f, // -0.92211, 0.38693 + 0xbfed86c48445a450, 0x3fd8ac4b86d5ed44, // -0.9227, 0.38552 + 0xbfed8b9a70ef9cb4, 0x3fd89518fbff098e, // -0.92329, 0.3841 + 0xbfed906bcf328d46, 0x3fd87de2a6aea963, // -0.92388, 0.38268 + 0xbfed95389e50429b, 0x3fd866a88a792ea0, // -0.92447, 0.38127 + 0xbfed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // -0.92505, 0.37985 + 0xbfed9ec48c26b1f3, 0x3fd838290bb359c8, // -0.92563, 0.37843 + 0xbfeda383a9668988, 0x3fd820e3b04eaac4, // -0.92621, 0.37701 + 0xbfeda83e348f613b, 0x3fd8099a9c5c362d, // -0.92679, 0.37559 + 0xbfedacf42ce68ab9, 0x3fd7f24dd37341e3, // -0.92736, 0.37416 + 0xbfedb1a591b20c38, 0x3fd7dafd592ba621, // -0.92794, 0.37274 + 0xbfedb6526238a09b, 0x3fd7c3a9311dcce7, // -0.92851, 0.37132 + 0xbfedbafa9dc1b78d, 0x3fd7ac515ee2b172, // -0.92907, 0.36989 + 0xbfedbf9e4395759a, 0x3fd794f5e613dfae, // -0.92964, 0.36847 + 0xbfedc43d52fcb453, 0x3fd77d96ca4b73a6, // -0.93021, 0.36704 + 0xbfedc8d7cb410260, 0x3fd766340f2418f6, // -0.93077, 0.36561 + 0xbfedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // -0.93133, 0.36418 + 0xbfedd1fef38a915a, 0x3fd73763c9261092, // -0.93188, 0.36276 + 0xbfedd68ba2267a25, 0x3fd71ff6458782ec, // -0.93244, 0.36133 + 0xbfeddb13b6ccc23d, 0x3fd7088530fa459e, // -0.93299, 0.3599 + 0xbfeddf9730ca837b, 0x3fd6f1108f1bc9c5, // -0.93354, 0.35846 + 0xbfede4160f6d8d81, 0x3fd6d998638a0cb5, // -0.93409, 0.35703 + 0xbfede890520465ce, 0x3fd6c21cb1e39771, // -0.93464, 0.3556 + 0xbfeded05f7de47da, 0x3fd6aa9d7dc77e16, // -0.93518, 0.35416 + 0xbfedf177004b2534, 0x3fd6931acad55f51, // -0.93573, 0.35273 + 0xbfedf5e36a9ba59c, 0x3fd67b949cad63ca, // -0.93627, 0.35129 + 0xbfedfa4b3621271d, 0x3fd6640af6f03d9e, // -0.9368, 0.34986 + 0xbfedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // -0.93734, 0.34842 + 0xbfee030cee1435b8, 0x3fd634ed533be58e, // -0.93787, 0.34698 + 0xbfee0766d9280f54, 0x3fd61d595c88c203, // -0.9384, 0.34554 + 0xbfee0bbc22bd8349, 0x3fd605c1fcc88f63, // -0.93893, 0.3441 + 0xbfee100cca2980ac, 0x3fd5ee27379ea693, // -0.93946, 0.34266 + 0xbfee1458cec1ad83, 0x3fd5d68910aee686, // -0.93998, 0.34122 + 0xbfee18a02fdc66d9, 0x3fd5bee78b9db3b6, // -0.94051, 0.33978 + 0xbfee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // -0.94103, 0.33833 + 0xbfee212104f686e5, 0x3fd58f9a75ab1fdd, // -0.94154, 0.33689 + 0xbfee255a77a63bb8, 0x3fd577eeec151e47, // -0.94206, 0.33545 + 0xbfee298f4439197a, 0x3fd5604012f467b4, // -0.94257, 0.334 + 0xbfee2dbf6a0911d9, 0x3fd5488dedeff3be, // -0.94308, 0.33255 + 0xbfee31eae870ce25, 0x3fd530d880af3c24, // -0.94359, 0.33111 + 0xbfee3611becbaf69, 0x3fd5191fceda3c35, // -0.9441, 0.32966 + 0xbfee3a33ec75ce85, 0x3fd50163dc197047, // -0.9446, 0.32821 + 0xbfee3e5170cbfc46, 0x3fd4e9a4ac15d520, // -0.94511, 0.32676 + 0xbfee426a4b2bc17e, 0x3fd4d1e24278e76a, // -0.94561, 0.32531 + 0xbfee467e7af35f23, 0x3fd4ba1ca2eca31c, // -0.94611, 0.32386 + 0xbfee4a8dff81ce5e, 0x3fd4a253d11b82f3, // -0.9466, 0.32241 + 0xbfee4e98d836c0af, 0x3fd48a87d0b07fd7, // -0.94709, 0.32096 + 0xbfee529f04729ffc, 0x3fd472b8a5571054, // -0.94759, 0.3195 + 0xbfee56a083968eb1, 0x3fd45ae652bb2800, // -0.94807, 0.31805 + 0xbfee5a9d550467d3, 0x3fd44310dc8936f0, // -0.94856, 0.31659 + 0xbfee5e95781ebf1c, 0x3fd42b38466e2928, // -0.94905, 0.31514 + 0xbfee6288ec48e112, 0x3fd4135c94176602, // -0.94953, 0.31368 + 0xbfee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // -0.95001, 0.31222 + 0xbfee6a61c55d53a7, 0x3fd3e39be96ec271, // -0.95049, 0.31077 + 0xbfee6e472911da27, 0x3fd3cbb6f87a146e, // -0.95096, 0.30931 + 0xbfee7227db6a9744, 0x3fd3b3cefa0414b7, // -0.95144, 0.30785 + 0xbfee7603dbce74e9, 0x3fd39be3f1bc8aef, // -0.95191, 0.30639 + 0xbfee79db29a5165a, 0x3fd383f5e353b6aa, // -0.95238, 0.30493 + 0xbfee7dadc456d850, 0x3fd36c04d27a4edf, // -0.95284, 0.30347 + 0xbfee817bab4cd10d, 0x3fd35410c2e18152, // -0.95331, 0.30201 + 0xbfee8544ddf0d075, 0x3fd33c19b83af207, // -0.95377, 0.30054 + 0xbfee89095bad6025, 0x3fd3241fb638baaf, // -0.95423, 0.29908 + 0xbfee8cc923edc388, 0x3fd30c22c08d6a13, // -0.95469, 0.29762 + 0xbfee9084361df7f3, 0x3fd2f422daec0386, // -0.95514, 0.29615 + 0xbfee943a91aab4b4, 0x3fd2dc200907fe51, // -0.95559, 0.29469 + 0xbfee97ec36016b30, 0x3fd2c41a4e954520, // -0.95605, 0.29322 + 0xbfee9b99229046f8, 0x3fd2ac11af483572, // -0.95649, 0.29175 + 0xbfee9f4156c62dda, 0x3fd294062ed59f05, // -0.95694, 0.29028 + 0xbfeea2e4d212c000, 0x3fd27bf7d0f2c346, // -0.95738, 0.28882 + 0xbfeea68393e65800, 0x3fd263e6995554ba, // -0.95783, 0.28735 + 0xbfeeaa1d9bb20af3, 0x3fd24bd28bb37672, // -0.95827, 0.28588 + 0xbfeeadb2e8e7a88e, 0x3fd233bbabc3bb72, // -0.9587, 0.28441 + 0xbfeeb1437af9bb34, 0x3fd21ba1fd3d2623, // -0.95914, 0.28294 + 0xbfeeb4cf515b8811, 0x3fd2038583d727bd, // -0.95957, 0.28146 + 0xbfeeb8566b810f2a, 0x3fd1eb6643499fbb, // -0.96, 0.27999 + 0xbfeebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // -0.96043, 0.27852 + 0xbfeebf5668eaf2ef, 0x3fd1bb1f7b999480, // -0.96086, 0.27705 + 0xbfeec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // -0.96128, 0.27557 + 0xbfeec6436ee60309, 0x3fd18acdc3f4873a, // -0.9617, 0.2741 + 0xbfeec9b2d3c3bf84, 0x3fd172a0d7765177, // -0.96212, 0.27262 + 0xbfeecd1d792c8f10, 0x3fd15a713a28b9d9, // -0.96254, 0.27115 + 0xbfeed0835e999009, 0x3fd1423eefc69378, // -0.96295, 0.26967 + 0xbfeed3e483849c51, 0x3fd12a09fc0b1b12, // -0.96337, 0.26819 + 0xbfeed740e7684963, 0x3fd111d262b1f677, // -0.96378, 0.26671 + 0xbfeeda9889bfe86a, 0x3fd0f998277733f7, // -0.96418, 0.26523 + 0xbfeeddeb6a078651, 0x3fd0e15b4e1749cd, // -0.96459, 0.26375 + 0xbfeee13987bbebdc, 0x3fd0c91bda4f158d, // -0.96499, 0.26227 + 0xbfeee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // -0.96539, 0.26079 + 0xbfeee7c77961dc9e, 0x3fd09895327b465e, // -0.96579, 0.25931 + 0xbfeeeb074c50a544, 0x3fd0804e05eb661e, // -0.96619, 0.25783 + 0xbfeeee425aa6b09a, 0x3fd068044deab002, // -0.96658, 0.25635 + 0xbfeef178a3e473c2, 0x3fd04fb80e37fdae, // -0.96698, 0.25487 + 0xbfeef4aa278b2032, 0x3fd037694a928cac, // -0.96737, 0.25338 + 0xbfeef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // -0.96775, 0.2519 + 0xbfeefafedc1ba8b7, 0x3fd006c4466e54af, // -0.96814, 0.25041 + 0xbfeefe220c0b95ec, 0x3fcfdcdc1adfedf8, // -0.96852, 0.24893 + 0xbfef014074708ed3, 0x3fcfac2abeff57ff, // -0.9689, 0.24744 + 0xbfef045a14cf738c, 0x3fcf7b7480bd3801, // -0.96928, 0.24596 + 0xbfef076eecade0fa, 0x3fcf4ab9679c9f5c, // -0.96966, 0.24447 + 0xbfef0a7efb9230d7, 0x3fcf19f97b215f1a, // -0.97003, 0.24298 + 0xbfef0d8a410379c5, 0x3fcee934c2d006c7, // -0.9704, 0.24149 + 0xbfef1090bc898f5f, 0x3fceb86b462de348, // -0.97077, 0.24 + 0xbfef13926dad024e, 0x3fce879d0cc0fdaf, // -0.97114, 0.23851 + 0xbfef168f53f7205d, 0x3fce56ca1e101a1b, // -0.9715, 0.23702 + 0xbfef19876ef1f486, 0x3fce25f281a2b684, // -0.97187, 0.23553 + 0xbfef1c7abe284708, 0x3fcdf5163f01099a, // -0.97223, 0.23404 + 0xbfef1f6941259d7a, 0x3fcdc4355db40195, // -0.97258, 0.23255 + 0xbfef2252f7763ada, 0x3fcd934fe5454311, // -0.97294, 0.23106 + 0xbfef2537e0a71f9f, 0x3fcd6265dd3f27e3, // -0.97329, 0.22957 + 0xbfef2817fc4609ce, 0x3fcd31774d2cbdee, // -0.97364, 0.22807 + 0xbfef2af349e17507, 0x3fcd00843c99c5f9, // -0.97399, 0.22658 + 0xbfef2dc9c9089a9d, 0x3fcccf8cb312b286, // -0.97434, 0.22508 + 0xbfef309b794b719f, 0x3fcc9e90b824a6a9, // -0.97468, 0.22359 + 0xbfef33685a3aaef0, 0x3fcc6d90535d74dc, // -0.97503, 0.22209 + 0xbfef36306b67c556, 0x3fcc3c8b8c4b9dd7, // -0.97536, 0.2206 + 0xbfef38f3ac64e589, 0x3fcc0b826a7e4f63, // -0.9757, 0.2191 + 0xbfef3bb21cc4fe47, 0x3fcbda74f5856330, // -0.97604, 0.2176 + 0xbfef3e6bbc1bbc65, 0x3fcba96334f15dad, // -0.97637, 0.21611 + 0xbfef412089fd8adc, 0x3fcb784d30536cda, // -0.9767, 0.21461 + 0xbfef43d085ff92dd, 0x3fcb4732ef3d6722, // -0.97703, 0.21311 + 0xbfef467bafb7bbe0, 0x3fcb16147941ca2a, // -0.97735, 0.21161 + 0xbfef492206bcabb4, 0x3fcae4f1d5f3b9ab, // -0.97768, 0.21011 + 0xbfef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // -0.978, 0.20861 + 0xbfef4e603b0b2f2d, 0x3fca82a025b00451, // -0.97832, 0.20711 + 0xbfef50f81785c6b9, 0x3fca517127e3dabc, // -0.97863, 0.20561 + 0xbfef538b1faf2d07, 0x3fca203e1b1831da, // -0.97895, 0.20411 + 0xbfef56195321c090, 0x3fc9ef0706e35a35, // -0.97926, 0.20261 + 0xbfef58a2b1789e84, 0x3fc9bdcbf2dc4366, // -0.97957, 0.2011 + 0xbfef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // -0.97988, 0.1996 + 0xbfef5da6ed43685d, 0x3fc95b49e9b62af9, // -0.98018, 0.1981 + 0xbfef6021c9f148c2, 0x3fc92a0303c8194f, // -0.98048, 0.19659 + 0xbfef6297cff75cb0, 0x3fc8f8b83c69a60a, // -0.98079, 0.19509 + 0xbfef6508fef47bd5, 0x3fc8c7699b34ca7e, // -0.98108, 0.19359 + 0xbfef677556883cee, 0x3fc8961727c41804, // -0.98138, 0.19208 + 0xbfef69dcd652f5de, 0x3fc864c0e9b2b6cf, // -0.98167, 0.19057 + 0xbfef6c3f7df5bbb7, 0x3fc83366e89c64c5, // -0.98196, 0.18907 + 0xbfef6e9d4d1262ca, 0x3fc802092c1d744b, // -0.98225, 0.18756 + 0xbfef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // -0.98254, 0.18606 + 0xbfef734a60446279, 0x3fc79f429f59e11d, // -0.98282, 0.18455 + 0xbfef7599a3a12077, 0x3fc76dd9de50bf31, // -0.98311, 0.18304 + 0xbfef77e40d068a90, 0x3fc73c6d8055fe0a, // -0.98339, 0.18153 + 0xbfef7a299c1a322a, 0x3fc70afd8d08c4ff, // -0.98366, 0.18002 + 0xbfef7c6a50826840, 0x3fc6d98a0c08c8da, // -0.98394, 0.17851 + 0xbfef7ea629e63d6e, 0x3fc6a81304f64ab2, // -0.98421, 0.177 + 0xbfef80dd27ed8204, 0x3fc676987f7216b8, // -0.98448, 0.17549 + 0xbfef830f4a40c60c, 0x3fc6451a831d830d, // -0.98475, 0.17398 + 0xbfef853c9089595e, 0x3fc61399179a6e94, // -0.98501, 0.17247 + 0xbfef8764fa714ba9, 0x3fc5e214448b3fc6, // -0.98528, 0.17096 + 0xbfef898887a36c84, 0x3fc5b08c1192e381, // -0.98554, 0.16945 + 0xbfef8ba737cb4b78, 0x3fc57f008654cbde, // -0.9858, 0.16794 + 0xbfef8dc10a95380d, 0x3fc54d71aa74ef02, // -0.98605, 0.16643 + 0xbfef8fd5ffae41db, 0x3fc51bdf8597c5f2, // -0.98631, 0.16491 + 0xbfef91e616c43891, 0x3fc4ea4a1f624b61, // -0.98656, 0.1634 + 0xbfef93f14f85ac08, 0x3fc4b8b17f79fa88, // -0.98681, 0.16189 + 0xbfef95f7a9a1ec47, 0x3fc48715ad84cdf5, // -0.98706, 0.16037 + 0xbfef97f924c9099b, 0x3fc45576b1293e5a, // -0.9873, 0.15886 + 0xbfef99f5c0abd496, 0x3fc423d4920e4166, // -0.98754, 0.15734 + 0xbfef9bed7cfbde29, 0x3fc3f22f57db4893, // -0.98778, 0.15583 + 0xbfef9de0596b77a3, 0x3fc3c0870a383ff6, // -0.98802, 0.15431 + 0xbfef9fce55adb2c8, 0x3fc38edbb0cd8d14, // -0.98826, 0.1528 + 0xbfefa1b7717661d5, 0x3fc35d2d53440db2, // -0.98849, 0.15128 + 0xbfefa39bac7a1791, 0x3fc32b7bf94516a7, // -0.98872, 0.14976 + 0xbfefa57b066e2754, 0x3fc2f9c7aa7a72af, // -0.98895, 0.14825 + 0xbfefa7557f08a517, 0x3fc2c8106e8e613a, // -0.98918, 0.14673 + 0xbfefa92b1600657c, 0x3fc296564d2b953e, // -0.9894, 0.14521 + 0xbfefaafbcb0cfddc, 0x3fc264994dfd340a, // -0.98962, 0.1437 + 0xbfefacc79de6c44f, 0x3fc232d978aed413, // -0.98984, 0.14218 + 0xbfefae8e8e46cfbb, 0x3fc20116d4ec7bce, // -0.99006, 0.14066 + 0xbfefb0509be6f7db, 0x3fc1cf516a62a077, // -0.99027, 0.13914 + 0xbfefb20dc681d54d, 0x3fc19d8940be24e7, // -0.99049, 0.13762 + 0xbfefb3c60dd2c199, 0x3fc16bbe5fac5865, // -0.9907, 0.1361 + 0xbfefb5797195d741, 0x3fc139f0cedaf576, // -0.9909, 0.13458 + 0xbfefb727f187f1c7, 0x3fc1082095f820b0, // -0.99111, 0.13306 + 0xbfefb8d18d66adb7, 0x3fc0d64dbcb26786, // -0.99131, 0.13154 + 0xbfefba7644f068b5, 0x3fc0a4784ab8bf1d, // -0.99151, 0.13002 + 0xbfefbc1617e44186, 0x3fc072a047ba831d, // -0.99171, 0.1285 + 0xbfefbdb106021816, 0x3fc040c5bb67747e, // -0.99191, 0.12698 + 0xbfefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // -0.9921, 0.12545 + 0xbfefc0d832bf043a, 0x3fbfba124b07ad85, // -0.99229, 0.12393 + 0xbfefc26470e19fd3, 0x3fbf564e56a9730e, // -0.99248, 0.12241 + 0xbfefc3ebc935454c, 0x3fbef2858d27561b, // -0.99267, 0.12089 + 0xbfefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // -0.99285, 0.11937 + 0xbfefc6ebc77f0887, 0x3fbe2ae5b8457f77, // -0.99303, 0.11784 + 0xbfefc8646cfeb721, 0x3fbdc70ecbae9fc8, // -0.99321, 0.11632 + 0xbfefc9d82bc2915e, 0x3fbd633347858ce4, // -0.99339, 0.11479 + 0xbfefcb4703914354, 0x3fbcff533b307dc1, // -0.99356, 0.11327 + 0xbfefccb0f4323aa3, 0x3fbc9b6eb6165c42, // -0.99374, 0.11175 + 0xbfefce15fd6da67b, 0x3fbc3785c79ec2d5, // -0.99391, 0.11022 + 0xbfefcf761f0c77a3, 0x3fbbd3987f31fa0e, // -0.99407, 0.1087 + 0xbfefd0d158d86087, 0x3fbb6fa6ec38f64c, // -0.99424, 0.10717 + 0xbfefd227aa9bd53b, 0x3fbb0bb11e1d5559, // -0.9944, 0.10565 + 0xbfefd37914220b84, 0x3fbaa7b724495c04, // -0.99456, 0.10412 + 0xbfefd4c59536fae4, 0x3fba43b90e27f3c4, // -0.99472, 0.1026 + 0xbfefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // -0.99488, 0.10107 + 0xbfefd74fdd40abbf, 0x3fb97bb0caaba56f, // -0.99503, 0.099544 + 0xbfefd88da3d12526, 0x3fb917a6bc29b42c, // -0.99518, 0.098017 + 0xbfefd9c68127c78c, 0x3fb8b398cf0c38e0, // -0.99533, 0.09649 + 0xbfefdafa7514538c, 0x3fb84f8712c130a0, // -0.99548, 0.094963 + 0xbfefdc297f674ba9, 0x3fb7eb7196b72ee4, // -0.99563, 0.093436 + 0xbfefdd539ff1f456, 0x3fb787586a5d5b21, // -0.99577, 0.091909 + 0xbfefde78d68653fd, 0x3fb7233b9d236e71, // -0.99591, 0.090381 + 0xbfefdf9922f73307, 0x3fb6bf1b3e79b129, // -0.99604, 0.088854 + 0xbfefe0b485181be3, 0x3fb65af75dd0f87b, // -0.99618, 0.087326 + 0xbfefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // -0.99631, 0.085797 + 0xbfefe2dc89bbff08, 0x3fb592a554489bc8, // -0.99644, 0.084269 + 0xbfefe3e92be9d886, 0x3fb52e774a4d4d0a, // -0.99657, 0.08274 + 0xbfefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // -0.9967, 0.081211 + 0xbfefe5f3af2e3940, 0x3fb4661179272096, // -0.99682, 0.079682 + 0xbfefe6f18ff42c84, 0x3fb401d9d0e3a507, // -0.99694, 0.078153 + 0xbfefe7ea85482d60, 0x3fb39d9f12c5a299, // -0.99706, 0.076624 + 0xbfefe8de8f03d75c, 0x3fb339614e41ffa5, // -0.99718, 0.075094 + 0xbfefe9cdad01883a, 0x3fb2d52092ce19f6, // -0.99729, 0.073565 + 0xbfefeab7df1c6005, 0x3fb270dcefdfc45b, // -0.9974, 0.072035 + 0xbfefeb9d2530410f, 0x3fb20c9674ed444c, // -0.99751, 0.070505 + 0xbfefec7d7f19cffc, 0x3fb1a84d316d4f8a, // -0.99762, 0.068974 + 0xbfefed58ecb673c4, 0x3fb1440134d709b2, // -0.99772, 0.067444 + 0xbfefee2f6de455ba, 0x3fb0dfb28ea201e6, // -0.99783, 0.065913 + 0xbfefef0102826191, 0x3fb07b614e463064, // -0.99793, 0.064383 + 0xbfefefcdaa704562, 0x3fb0170d833bf421, // -0.99802, 0.062852 + 0xbfeff095658e71ad, 0x3faf656e79f820e0, // -0.99812, 0.061321 + 0xbfeff15833be1965, 0x3fae9cbd15ff5527, // -0.99821, 0.05979 + 0xbfeff21614e131ed, 0x3fadd406f9808ec8, // -0.9983, 0.058258 + 0xbfeff2cf08da7321, 0x3fad0b4c436f91d0, // -0.99839, 0.056727 + 0xbfeff3830f8d575c, 0x3fac428d12c0d7e3, // -0.99848, 0.055195 + 0xbfeff43228de1b77, 0x3fab79c986698b78, // -0.99856, 0.053664 + 0xbfeff4dc54b1bed3, 0x3faab101bd5f8317, // -0.99864, 0.052132 + 0xbfeff58192ee0358, 0x3fa9e835d6993c87, // -0.99872, 0.0506 + 0xbfeff621e3796d7e, 0x3fa91f65f10dd814, // -0.9988, 0.049068 + 0xbfeff6bd463b444d, 0x3fa856922bb513c1, // -0.99887, 0.047535 + 0xbfeff753bb1b9164, 0x3fa78dbaa5874685, // -0.99894, 0.046003 + 0xbfeff7e5420320f9, 0x3fa6c4df7d7d5b84, // -0.99901, 0.044471 + 0xbfeff871dadb81df, 0x3fa5fc00d290cd43, // -0.99908, 0.042938 + 0xbfeff8f9858f058b, 0x3fa5331ec3bba0eb, // -0.99914, 0.041406 + 0xbfeff97c4208c014, 0x3fa46a396ff86179, // -0.9992, 0.039873 + 0xbfeff9fa10348837, 0x3fa3a150f6421afc, // -0.99926, 0.03834 + 0xbfeffa72effef75d, 0x3fa2d865759455cd, // -0.99932, 0.036807 + 0xbfeffae6e1556998, 0x3fa20f770ceb11c6, // -0.99938, 0.035274 + 0xbfeffb55e425fdae, 0x3fa14685db42c17e, // -0.99943, 0.033741 + 0xbfeffbbff85f9515, 0x3fa07d91ff984580, // -0.99948, 0.032208 + 0xbfeffc251df1d3f8, 0x3f9f693731d1cf01, // -0.99953, 0.030675 + 0xbfeffc8554cd213a, 0x3f9dd7458c64ab39, // -0.99958, 0.029142 + 0xbfeffce09ce2a679, 0x3f9c454f4ce53b1c, // -0.99962, 0.027608 + 0xbfeffd36f624500c, 0x3f9ab354b1504fca, // -0.99966, 0.026075 + 0xbfeffd886084cd0d, 0x3f992155f7a3667e, // -0.9997, 0.024541 + 0xbfeffdd4dbf78f52, 0x3f978f535ddc9f03, // -0.99974, 0.023008 + 0xbfeffe1c6870cb77, 0x3f95fd4d21fab226, // -0.99977, 0.021474 + 0xbfeffe5f05e578db, 0x3f946b4381fce81c, // -0.9998, 0.01994 + 0xbfeffe9cb44b51a1, 0x3f92d936bbe30efd, // -0.99983, 0.018407 + 0xbfeffed57398d2b7, 0x3f9147270dad7132, // -0.99986, 0.016873 + 0xbfefff0943c53bd1, 0x3f8f6a296ab997ca, // -0.99988, 0.015339 + 0xbfefff3824c88f6f, 0x3f8c45ffe1e48ad9, // -0.9999, 0.013805 + 0xbfefff62169b92db, 0x3f8921d1fcdec784, // -0.99992, 0.012272 + 0xbfefff871937ce2f, 0x3f85fda037ac05e0, // -0.99994, 0.010738 + 0xbfefffa72c978c4f, 0x3f82d96b0e509703, // -0.99996, 0.0092038 + 0xbfefffc250b5daef, 0x3f7f6a65f9a2a3c5, // -0.99997, 0.0076698 + 0xbfefffd8858e8a92, 0x3f7921f0fe670071, // -0.99998, 0.0061359 + 0xbfefffe9cb1e2e8d, 0x3f72d97822f996bc, // -0.99999, 0.0046019 + 0xbfeffff621621d02, 0x3f6921f8becca4ba, // -1, 0.003068 + 0xbfeffffd88586ee6, 0x3f5921faaee6472d, // -1, 0.001534 + 0xbff0000000000000, 0x0000000000000000, // -1, 0 + 0xbfeffffd88586ee6, 0xbf5921faaee6472d, // -1, -0.001534 + 0xbfeffff621621d02, 0xbf6921f8becca4ba, // -1, -0.003068 + 0xbfefffe9cb1e2e8d, 0xbf72d97822f996bc, // -0.99999,-0.0046019 + 0xbfefffd8858e8a92, 0xbf7921f0fe670071, // -0.99998,-0.0061359 + 0xbfefffc250b5daef, 0xbf7f6a65f9a2a3c5, // -0.99997,-0.0076698 + 0xbfefffa72c978c4f, 0xbf82d96b0e509703, // -0.99996,-0.0092038 + 0xbfefff871937ce2f, 0xbf85fda037ac05e0, // -0.99994, -0.010738 + 0xbfefff62169b92db, 0xbf8921d1fcdec784, // -0.99992, -0.012272 + 0xbfefff3824c88f6f, 0xbf8c45ffe1e48ad9, // -0.9999, -0.013805 + 0xbfefff0943c53bd1, 0xbf8f6a296ab997ca, // -0.99988, -0.015339 + 0xbfeffed57398d2b7, 0xbf9147270dad7132, // -0.99986, -0.016873 + 0xbfeffe9cb44b51a1, 0xbf92d936bbe30efd, // -0.99983, -0.018407 + 0xbfeffe5f05e578db, 0xbf946b4381fce81c, // -0.9998, -0.01994 + 0xbfeffe1c6870cb77, 0xbf95fd4d21fab226, // -0.99977, -0.021474 + 0xbfeffdd4dbf78f52, 0xbf978f535ddc9f03, // -0.99974, -0.023008 + 0xbfeffd886084cd0d, 0xbf992155f7a3667e, // -0.9997, -0.024541 + 0xbfeffd36f624500c, 0xbf9ab354b1504fca, // -0.99966, -0.026075 + 0xbfeffce09ce2a679, 0xbf9c454f4ce53b1c, // -0.99962, -0.027608 + 0xbfeffc8554cd213a, 0xbf9dd7458c64ab39, // -0.99958, -0.029142 + 0xbfeffc251df1d3f8, 0xbf9f693731d1cf01, // -0.99953, -0.030675 + 0xbfeffbbff85f9515, 0xbfa07d91ff984580, // -0.99948, -0.032208 + 0xbfeffb55e425fdae, 0xbfa14685db42c17e, // -0.99943, -0.033741 + 0xbfeffae6e1556998, 0xbfa20f770ceb11c6, // -0.99938, -0.035274 + 0xbfeffa72effef75d, 0xbfa2d865759455cd, // -0.99932, -0.036807 + 0xbfeff9fa10348837, 0xbfa3a150f6421afc, // -0.99926, -0.03834 + 0xbfeff97c4208c014, 0xbfa46a396ff86179, // -0.9992, -0.039873 + 0xbfeff8f9858f058b, 0xbfa5331ec3bba0eb, // -0.99914, -0.041406 + 0xbfeff871dadb81df, 0xbfa5fc00d290cd43, // -0.99908, -0.042938 + 0xbfeff7e5420320f9, 0xbfa6c4df7d7d5b84, // -0.99901, -0.044471 + 0xbfeff753bb1b9164, 0xbfa78dbaa5874685, // -0.99894, -0.046003 + 0xbfeff6bd463b444d, 0xbfa856922bb513c1, // -0.99887, -0.047535 + 0xbfeff621e3796d7e, 0xbfa91f65f10dd814, // -0.9988, -0.049068 + 0xbfeff58192ee0358, 0xbfa9e835d6993c87, // -0.99872, -0.0506 + 0xbfeff4dc54b1bed3, 0xbfaab101bd5f8317, // -0.99864, -0.052132 + 0xbfeff43228de1b77, 0xbfab79c986698b78, // -0.99856, -0.053664 + 0xbfeff3830f8d575c, 0xbfac428d12c0d7e3, // -0.99848, -0.055195 + 0xbfeff2cf08da7321, 0xbfad0b4c436f91d0, // -0.99839, -0.056727 + 0xbfeff21614e131ed, 0xbfadd406f9808ec8, // -0.9983, -0.058258 + 0xbfeff15833be1965, 0xbfae9cbd15ff5527, // -0.99821, -0.05979 + 0xbfeff095658e71ad, 0xbfaf656e79f820e0, // -0.99812, -0.061321 + 0xbfefefcdaa704562, 0xbfb0170d833bf421, // -0.99802, -0.062852 + 0xbfefef0102826191, 0xbfb07b614e463064, // -0.99793, -0.064383 + 0xbfefee2f6de455ba, 0xbfb0dfb28ea201e6, // -0.99783, -0.065913 + 0xbfefed58ecb673c4, 0xbfb1440134d709b2, // -0.99772, -0.067444 + 0xbfefec7d7f19cffc, 0xbfb1a84d316d4f8a, // -0.99762, -0.068974 + 0xbfefeb9d2530410f, 0xbfb20c9674ed444c, // -0.99751, -0.070505 + 0xbfefeab7df1c6005, 0xbfb270dcefdfc45b, // -0.9974, -0.072035 + 0xbfefe9cdad01883a, 0xbfb2d52092ce19f6, // -0.99729, -0.073565 + 0xbfefe8de8f03d75c, 0xbfb339614e41ffa5, // -0.99718, -0.075094 + 0xbfefe7ea85482d60, 0xbfb39d9f12c5a299, // -0.99706, -0.076624 + 0xbfefe6f18ff42c84, 0xbfb401d9d0e3a507, // -0.99694, -0.078153 + 0xbfefe5f3af2e3940, 0xbfb4661179272096, // -0.99682, -0.079682 + 0xbfefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // -0.9967, -0.081211 + 0xbfefe3e92be9d886, 0xbfb52e774a4d4d0a, // -0.99657, -0.08274 + 0xbfefe2dc89bbff08, 0xbfb592a554489bc8, // -0.99644, -0.084269 + 0xbfefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // -0.99631, -0.085797 + 0xbfefe0b485181be3, 0xbfb65af75dd0f87b, // -0.99618, -0.087326 + 0xbfefdf9922f73307, 0xbfb6bf1b3e79b129, // -0.99604, -0.088854 + 0xbfefde78d68653fd, 0xbfb7233b9d236e71, // -0.99591, -0.090381 + 0xbfefdd539ff1f456, 0xbfb787586a5d5b21, // -0.99577, -0.091909 + 0xbfefdc297f674ba9, 0xbfb7eb7196b72ee4, // -0.99563, -0.093436 + 0xbfefdafa7514538c, 0xbfb84f8712c130a0, // -0.99548, -0.094963 + 0xbfefd9c68127c78c, 0xbfb8b398cf0c38e0, // -0.99533, -0.09649 + 0xbfefd88da3d12526, 0xbfb917a6bc29b42c, // -0.99518, -0.098017 + 0xbfefd74fdd40abbf, 0xbfb97bb0caaba56f, // -0.99503, -0.099544 + 0xbfefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // -0.99488, -0.10107 + 0xbfefd4c59536fae4, 0xbfba43b90e27f3c4, // -0.99472, -0.1026 + 0xbfefd37914220b84, 0xbfbaa7b724495c04, // -0.99456, -0.10412 + 0xbfefd227aa9bd53b, 0xbfbb0bb11e1d5559, // -0.9944, -0.10565 + 0xbfefd0d158d86087, 0xbfbb6fa6ec38f64c, // -0.99424, -0.10717 + 0xbfefcf761f0c77a3, 0xbfbbd3987f31fa0e, // -0.99407, -0.1087 + 0xbfefce15fd6da67b, 0xbfbc3785c79ec2d5, // -0.99391, -0.11022 + 0xbfefccb0f4323aa3, 0xbfbc9b6eb6165c42, // -0.99374, -0.11175 + 0xbfefcb4703914354, 0xbfbcff533b307dc1, // -0.99356, -0.11327 + 0xbfefc9d82bc2915e, 0xbfbd633347858ce4, // -0.99339, -0.11479 + 0xbfefc8646cfeb721, 0xbfbdc70ecbae9fc8, // -0.99321, -0.11632 + 0xbfefc6ebc77f0887, 0xbfbe2ae5b8457f77, // -0.99303, -0.11784 + 0xbfefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // -0.99285, -0.11937 + 0xbfefc3ebc935454c, 0xbfbef2858d27561b, // -0.99267, -0.12089 + 0xbfefc26470e19fd3, 0xbfbf564e56a9730e, // -0.99248, -0.12241 + 0xbfefc0d832bf043a, 0xbfbfba124b07ad85, // -0.99229, -0.12393 + 0xbfefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // -0.9921, -0.12545 + 0xbfefbdb106021816, 0xbfc040c5bb67747e, // -0.99191, -0.12698 + 0xbfefbc1617e44186, 0xbfc072a047ba831d, // -0.99171, -0.1285 + 0xbfefba7644f068b5, 0xbfc0a4784ab8bf1d, // -0.99151, -0.13002 + 0xbfefb8d18d66adb7, 0xbfc0d64dbcb26786, // -0.99131, -0.13154 + 0xbfefb727f187f1c7, 0xbfc1082095f820b0, // -0.99111, -0.13306 + 0xbfefb5797195d741, 0xbfc139f0cedaf576, // -0.9909, -0.13458 + 0xbfefb3c60dd2c199, 0xbfc16bbe5fac5865, // -0.9907, -0.1361 + 0xbfefb20dc681d54d, 0xbfc19d8940be24e7, // -0.99049, -0.13762 + 0xbfefb0509be6f7db, 0xbfc1cf516a62a077, // -0.99027, -0.13914 + 0xbfefae8e8e46cfbb, 0xbfc20116d4ec7bce, // -0.99006, -0.14066 + 0xbfefacc79de6c44f, 0xbfc232d978aed413, // -0.98984, -0.14218 + 0xbfefaafbcb0cfddc, 0xbfc264994dfd340a, // -0.98962, -0.1437 + 0xbfefa92b1600657c, 0xbfc296564d2b953e, // -0.9894, -0.14521 + 0xbfefa7557f08a517, 0xbfc2c8106e8e613a, // -0.98918, -0.14673 + 0xbfefa57b066e2754, 0xbfc2f9c7aa7a72af, // -0.98895, -0.14825 + 0xbfefa39bac7a1791, 0xbfc32b7bf94516a7, // -0.98872, -0.14976 + 0xbfefa1b7717661d5, 0xbfc35d2d53440db2, // -0.98849, -0.15128 + 0xbfef9fce55adb2c8, 0xbfc38edbb0cd8d14, // -0.98826, -0.1528 + 0xbfef9de0596b77a3, 0xbfc3c0870a383ff6, // -0.98802, -0.15431 + 0xbfef9bed7cfbde29, 0xbfc3f22f57db4893, // -0.98778, -0.15583 + 0xbfef99f5c0abd496, 0xbfc423d4920e4166, // -0.98754, -0.15734 + 0xbfef97f924c9099b, 0xbfc45576b1293e5a, // -0.9873, -0.15886 + 0xbfef95f7a9a1ec47, 0xbfc48715ad84cdf5, // -0.98706, -0.16037 + 0xbfef93f14f85ac08, 0xbfc4b8b17f79fa88, // -0.98681, -0.16189 + 0xbfef91e616c43891, 0xbfc4ea4a1f624b61, // -0.98656, -0.1634 + 0xbfef8fd5ffae41db, 0xbfc51bdf8597c5f2, // -0.98631, -0.16491 + 0xbfef8dc10a95380d, 0xbfc54d71aa74ef02, // -0.98605, -0.16643 + 0xbfef8ba737cb4b78, 0xbfc57f008654cbde, // -0.9858, -0.16794 + 0xbfef898887a36c84, 0xbfc5b08c1192e381, // -0.98554, -0.16945 + 0xbfef8764fa714ba9, 0xbfc5e214448b3fc6, // -0.98528, -0.17096 + 0xbfef853c9089595e, 0xbfc61399179a6e94, // -0.98501, -0.17247 + 0xbfef830f4a40c60c, 0xbfc6451a831d830d, // -0.98475, -0.17398 + 0xbfef80dd27ed8204, 0xbfc676987f7216b8, // -0.98448, -0.17549 + 0xbfef7ea629e63d6e, 0xbfc6a81304f64ab2, // -0.98421, -0.177 + 0xbfef7c6a50826840, 0xbfc6d98a0c08c8da, // -0.98394, -0.17851 + 0xbfef7a299c1a322a, 0xbfc70afd8d08c4ff, // -0.98366, -0.18002 + 0xbfef77e40d068a90, 0xbfc73c6d8055fe0a, // -0.98339, -0.18153 + 0xbfef7599a3a12077, 0xbfc76dd9de50bf31, // -0.98311, -0.18304 + 0xbfef734a60446279, 0xbfc79f429f59e11d, // -0.98282, -0.18455 + 0xbfef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // -0.98254, -0.18606 + 0xbfef6e9d4d1262ca, 0xbfc802092c1d744b, // -0.98225, -0.18756 + 0xbfef6c3f7df5bbb7, 0xbfc83366e89c64c5, // -0.98196, -0.18907 + 0xbfef69dcd652f5de, 0xbfc864c0e9b2b6cf, // -0.98167, -0.19057 + 0xbfef677556883cee, 0xbfc8961727c41804, // -0.98138, -0.19208 + 0xbfef6508fef47bd5, 0xbfc8c7699b34ca7e, // -0.98108, -0.19359 + 0xbfef6297cff75cb0, 0xbfc8f8b83c69a60a, // -0.98079, -0.19509 + 0xbfef6021c9f148c2, 0xbfc92a0303c8194f, // -0.98048, -0.19659 + 0xbfef5da6ed43685d, 0xbfc95b49e9b62af9, // -0.98018, -0.1981 + 0xbfef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // -0.97988, -0.1996 + 0xbfef58a2b1789e84, 0xbfc9bdcbf2dc4366, // -0.97957, -0.2011 + 0xbfef56195321c090, 0xbfc9ef0706e35a35, // -0.97926, -0.20261 + 0xbfef538b1faf2d07, 0xbfca203e1b1831da, // -0.97895, -0.20411 + 0xbfef50f81785c6b9, 0xbfca517127e3dabc, // -0.97863, -0.20561 + 0xbfef4e603b0b2f2d, 0xbfca82a025b00451, // -0.97832, -0.20711 + 0xbfef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // -0.978, -0.20861 + 0xbfef492206bcabb4, 0xbfcae4f1d5f3b9ab, // -0.97768, -0.21011 + 0xbfef467bafb7bbe0, 0xbfcb16147941ca2a, // -0.97735, -0.21161 + 0xbfef43d085ff92dd, 0xbfcb4732ef3d6722, // -0.97703, -0.21311 + 0xbfef412089fd8adc, 0xbfcb784d30536cda, // -0.9767, -0.21461 + 0xbfef3e6bbc1bbc65, 0xbfcba96334f15dad, // -0.97637, -0.21611 + 0xbfef3bb21cc4fe47, 0xbfcbda74f5856330, // -0.97604, -0.2176 + 0xbfef38f3ac64e589, 0xbfcc0b826a7e4f63, // -0.9757, -0.2191 + 0xbfef36306b67c556, 0xbfcc3c8b8c4b9dd7, // -0.97536, -0.2206 + 0xbfef33685a3aaef0, 0xbfcc6d90535d74dc, // -0.97503, -0.22209 + 0xbfef309b794b719f, 0xbfcc9e90b824a6a9, // -0.97468, -0.22359 + 0xbfef2dc9c9089a9d, 0xbfcccf8cb312b286, // -0.97434, -0.22508 + 0xbfef2af349e17507, 0xbfcd00843c99c5f9, // -0.97399, -0.22658 + 0xbfef2817fc4609ce, 0xbfcd31774d2cbdee, // -0.97364, -0.22807 + 0xbfef2537e0a71f9f, 0xbfcd6265dd3f27e3, // -0.97329, -0.22957 + 0xbfef2252f7763ada, 0xbfcd934fe5454311, // -0.97294, -0.23106 + 0xbfef1f6941259d7a, 0xbfcdc4355db40195, // -0.97258, -0.23255 + 0xbfef1c7abe284708, 0xbfcdf5163f01099a, // -0.97223, -0.23404 + 0xbfef19876ef1f486, 0xbfce25f281a2b684, // -0.97187, -0.23553 + 0xbfef168f53f7205d, 0xbfce56ca1e101a1b, // -0.9715, -0.23702 + 0xbfef13926dad024e, 0xbfce879d0cc0fdaf, // -0.97114, -0.23851 + 0xbfef1090bc898f5f, 0xbfceb86b462de348, // -0.97077, -0.24 + 0xbfef0d8a410379c5, 0xbfcee934c2d006c7, // -0.9704, -0.24149 + 0xbfef0a7efb9230d7, 0xbfcf19f97b215f1a, // -0.97003, -0.24298 + 0xbfef076eecade0fa, 0xbfcf4ab9679c9f5c, // -0.96966, -0.24447 + 0xbfef045a14cf738c, 0xbfcf7b7480bd3801, // -0.96928, -0.24596 + 0xbfef014074708ed3, 0xbfcfac2abeff57ff, // -0.9689, -0.24744 + 0xbfeefe220c0b95ec, 0xbfcfdcdc1adfedf8, // -0.96852, -0.24893 + 0xbfeefafedc1ba8b7, 0xbfd006c4466e54af, // -0.96814, -0.25041 + 0xbfeef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // -0.96775, -0.2519 + 0xbfeef4aa278b2032, 0xbfd037694a928cac, // -0.96737, -0.25338 + 0xbfeef178a3e473c2, 0xbfd04fb80e37fdae, // -0.96698, -0.25487 + 0xbfeeee425aa6b09a, 0xbfd068044deab002, // -0.96658, -0.25635 + 0xbfeeeb074c50a544, 0xbfd0804e05eb661e, // -0.96619, -0.25783 + 0xbfeee7c77961dc9e, 0xbfd09895327b465e, // -0.96579, -0.25931 + 0xbfeee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // -0.96539, -0.26079 + 0xbfeee13987bbebdc, 0xbfd0c91bda4f158d, // -0.96499, -0.26227 + 0xbfeeddeb6a078651, 0xbfd0e15b4e1749cd, // -0.96459, -0.26375 + 0xbfeeda9889bfe86a, 0xbfd0f998277733f7, // -0.96418, -0.26523 + 0xbfeed740e7684963, 0xbfd111d262b1f677, // -0.96378, -0.26671 + 0xbfeed3e483849c51, 0xbfd12a09fc0b1b12, // -0.96337, -0.26819 + 0xbfeed0835e999009, 0xbfd1423eefc69378, // -0.96295, -0.26967 + 0xbfeecd1d792c8f10, 0xbfd15a713a28b9d9, // -0.96254, -0.27115 + 0xbfeec9b2d3c3bf84, 0xbfd172a0d7765177, // -0.96212, -0.27262 + 0xbfeec6436ee60309, 0xbfd18acdc3f4873a, // -0.9617, -0.2741 + 0xbfeec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // -0.96128, -0.27557 + 0xbfeebf5668eaf2ef, 0xbfd1bb1f7b999480, // -0.96086, -0.27705 + 0xbfeebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // -0.96043, -0.27852 + 0xbfeeb8566b810f2a, 0xbfd1eb6643499fbb, // -0.96, -0.27999 + 0xbfeeb4cf515b8811, 0xbfd2038583d727bd, // -0.95957, -0.28146 + 0xbfeeb1437af9bb34, 0xbfd21ba1fd3d2623, // -0.95914, -0.28294 + 0xbfeeadb2e8e7a88e, 0xbfd233bbabc3bb72, // -0.9587, -0.28441 + 0xbfeeaa1d9bb20af3, 0xbfd24bd28bb37672, // -0.95827, -0.28588 + 0xbfeea68393e65800, 0xbfd263e6995554ba, // -0.95783, -0.28735 + 0xbfeea2e4d212c000, 0xbfd27bf7d0f2c346, // -0.95738, -0.28882 + 0xbfee9f4156c62dda, 0xbfd294062ed59f05, // -0.95694, -0.29028 + 0xbfee9b99229046f8, 0xbfd2ac11af483572, // -0.95649, -0.29175 + 0xbfee97ec36016b30, 0xbfd2c41a4e954520, // -0.95605, -0.29322 + 0xbfee943a91aab4b4, 0xbfd2dc200907fe51, // -0.95559, -0.29469 + 0xbfee9084361df7f3, 0xbfd2f422daec0386, // -0.95514, -0.29615 + 0xbfee8cc923edc388, 0xbfd30c22c08d6a13, // -0.95469, -0.29762 + 0xbfee89095bad6025, 0xbfd3241fb638baaf, // -0.95423, -0.29908 + 0xbfee8544ddf0d075, 0xbfd33c19b83af207, // -0.95377, -0.30054 + 0xbfee817bab4cd10d, 0xbfd35410c2e18152, // -0.95331, -0.30201 + 0xbfee7dadc456d850, 0xbfd36c04d27a4edf, // -0.95284, -0.30347 + 0xbfee79db29a5165a, 0xbfd383f5e353b6aa, // -0.95238, -0.30493 + 0xbfee7603dbce74e9, 0xbfd39be3f1bc8aef, // -0.95191, -0.30639 + 0xbfee7227db6a9744, 0xbfd3b3cefa0414b7, // -0.95144, -0.30785 + 0xbfee6e472911da27, 0xbfd3cbb6f87a146e, // -0.95096, -0.30931 + 0xbfee6a61c55d53a7, 0xbfd3e39be96ec271, // -0.95049, -0.31077 + 0xbfee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // -0.95001, -0.31222 + 0xbfee6288ec48e112, 0xbfd4135c94176602, // -0.94953, -0.31368 + 0xbfee5e95781ebf1c, 0xbfd42b38466e2928, // -0.94905, -0.31514 + 0xbfee5a9d550467d3, 0xbfd44310dc8936f0, // -0.94856, -0.31659 + 0xbfee56a083968eb1, 0xbfd45ae652bb2800, // -0.94807, -0.31805 + 0xbfee529f04729ffc, 0xbfd472b8a5571054, // -0.94759, -0.3195 + 0xbfee4e98d836c0af, 0xbfd48a87d0b07fd7, // -0.94709, -0.32096 + 0xbfee4a8dff81ce5e, 0xbfd4a253d11b82f3, // -0.9466, -0.32241 + 0xbfee467e7af35f23, 0xbfd4ba1ca2eca31c, // -0.94611, -0.32386 + 0xbfee426a4b2bc17e, 0xbfd4d1e24278e76a, // -0.94561, -0.32531 + 0xbfee3e5170cbfc46, 0xbfd4e9a4ac15d520, // -0.94511, -0.32676 + 0xbfee3a33ec75ce85, 0xbfd50163dc197047, // -0.9446, -0.32821 + 0xbfee3611becbaf69, 0xbfd5191fceda3c35, // -0.9441, -0.32966 + 0xbfee31eae870ce25, 0xbfd530d880af3c24, // -0.94359, -0.33111 + 0xbfee2dbf6a0911d9, 0xbfd5488dedeff3be, // -0.94308, -0.33255 + 0xbfee298f4439197a, 0xbfd5604012f467b4, // -0.94257, -0.334 + 0xbfee255a77a63bb8, 0xbfd577eeec151e47, // -0.94206, -0.33545 + 0xbfee212104f686e5, 0xbfd58f9a75ab1fdd, // -0.94154, -0.33689 + 0xbfee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // -0.94103, -0.33833 + 0xbfee18a02fdc66d9, 0xbfd5bee78b9db3b6, // -0.94051, -0.33978 + 0xbfee1458cec1ad83, 0xbfd5d68910aee686, // -0.93998, -0.34122 + 0xbfee100cca2980ac, 0xbfd5ee27379ea693, // -0.93946, -0.34266 + 0xbfee0bbc22bd8349, 0xbfd605c1fcc88f63, // -0.93893, -0.3441 + 0xbfee0766d9280f54, 0xbfd61d595c88c203, // -0.9384, -0.34554 + 0xbfee030cee1435b8, 0xbfd634ed533be58e, // -0.93787, -0.34698 + 0xbfedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // -0.93734, -0.34842 + 0xbfedfa4b3621271d, 0xbfd6640af6f03d9e, // -0.9368, -0.34986 + 0xbfedf5e36a9ba59c, 0xbfd67b949cad63ca, // -0.93627, -0.35129 + 0xbfedf177004b2534, 0xbfd6931acad55f51, // -0.93573, -0.35273 + 0xbfeded05f7de47da, 0xbfd6aa9d7dc77e16, // -0.93518, -0.35416 + 0xbfede890520465ce, 0xbfd6c21cb1e39771, // -0.93464, -0.3556 + 0xbfede4160f6d8d81, 0xbfd6d998638a0cb5, // -0.93409, -0.35703 + 0xbfeddf9730ca837b, 0xbfd6f1108f1bc9c5, // -0.93354, -0.35846 + 0xbfeddb13b6ccc23d, 0xbfd7088530fa459e, // -0.93299, -0.3599 + 0xbfedd68ba2267a25, 0xbfd71ff6458782ec, // -0.93244, -0.36133 + 0xbfedd1fef38a915a, 0xbfd73763c9261092, // -0.93188, -0.36276 + 0xbfedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // -0.93133, -0.36418 + 0xbfedc8d7cb410260, 0xbfd766340f2418f6, // -0.93077, -0.36561 + 0xbfedc43d52fcb453, 0xbfd77d96ca4b73a6, // -0.93021, -0.36704 + 0xbfedbf9e4395759a, 0xbfd794f5e613dfae, // -0.92964, -0.36847 + 0xbfedbafa9dc1b78d, 0xbfd7ac515ee2b172, // -0.92907, -0.36989 + 0xbfedb6526238a09b, 0xbfd7c3a9311dcce7, // -0.92851, -0.37132 + 0xbfedb1a591b20c38, 0xbfd7dafd592ba621, // -0.92794, -0.37274 + 0xbfedacf42ce68ab9, 0xbfd7f24dd37341e3, // -0.92736, -0.37416 + 0xbfeda83e348f613b, 0xbfd8099a9c5c362d, // -0.92679, -0.37559 + 0xbfeda383a9668988, 0xbfd820e3b04eaac4, // -0.92621, -0.37701 + 0xbfed9ec48c26b1f3, 0xbfd838290bb359c8, // -0.92563, -0.37843 + 0xbfed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // -0.92505, -0.37985 + 0xbfed95389e50429b, 0xbfd866a88a792ea0, // -0.92447, -0.38127 + 0xbfed906bcf328d46, 0xbfd87de2a6aea963, // -0.92388, -0.38268 + 0xbfed8b9a70ef9cb4, 0xbfd89518fbff098e, // -0.92329, -0.3841 + 0xbfed86c48445a450, 0xbfd8ac4b86d5ed44, // -0.9227, -0.38552 + 0xbfed81ea09f38b63, 0xbfd8c37a439f884f, // -0.92211, -0.38693 + 0xbfed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // -0.92151, -0.38835 + 0xbfed78276f5617c6, 0xbfd8f1cc44bea329, // -0.92092, -0.38976 + 0xbfed733f508c0dff, 0xbfd908ef81ef7bd1, // -0.92032, -0.39117 + 0xbfed6e52a71c8547, 0xbfd9200ee2c9be97, // -0.91972, -0.39258 + 0xbfed696173c9e68b, 0xbfd9372a63bc93d7, // -0.91911, -0.39399 + 0xbfed646bb7574de5, 0xbfd94e420137bce3, // -0.91851, -0.3954 + 0xbfed5f7172888a7f, 0xbfd96555b7ab948f, // -0.9179, -0.39681 + 0xbfed5a72a6221e73, 0xbfd97c6583890fc2, // -0.91729, -0.39822 + 0xbfed556f52e93eb1, 0xbfd993716141bdfe, // -0.91668, -0.39962 + 0xbfed506779a3d2d9, 0xbfd9aa794d47c9ee, // -0.91606, -0.40103 + 0xbfed4b5b1b187524, 0xbfd9c17d440df9f2, // -0.91545, -0.40243 + 0xbfed464a380e7242, 0xbfd9d87d4207b0ab, // -0.91483, -0.40384 + 0xbfed4134d14dc93a, 0xbfd9ef7943a8ed8a, // -0.91421, -0.40524 + 0xbfed3c1ae79f2b4e, 0xbfda067145664d57, // -0.91359, -0.40664 + 0xbfed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // -0.91296, -0.40804 + 0xbfed31d98e9e503a, 0xbfda34553b0afee5, // -0.91234, -0.40944 + 0xbfed2cb220e0ef9f, 0xbfda4b4127dea1e4, // -0.91171, -0.41084 + 0xbfed2786335f52fc, 0xbfda622906a70b63, // -0.91107, -0.41224 + 0xbfed2255c6e5a4e1, 0xbfda790cd3dbf31a, // -0.91044, -0.41364 + 0xbfed1d20dc40c15c, 0xbfda8fec8bf5b166, // -0.90981, -0.41503 + 0xbfed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // -0.90917, -0.41643 + 0xbfed12a98fac410c, 0xbfdabd9faebc3980, // -0.90853, -0.41782 + 0xbfed0d672f59d2b9, 0xbfdad473125cdc08, // -0.90789, -0.41922 + 0xbfed082054168bac, 0xbfdaeb4252ca07ab, // -0.90724, -0.42061 + 0xbfed02d4feb2bd92, 0xbfdb020d6c7f4009, // -0.9066, -0.422 + 0xbfecfd852fff6ad4, 0xbfdb18d45bf8aca6, // -0.90595, -0.42339 + 0xbfecf830e8ce467b, 0xbfdb2f971db31972, // -0.9053, -0.42478 + 0xbfecf2d829f1b40e, 0xbfdb4655ae2bf757, // -0.90464, -0.42617 + 0xbfeced7af43cc773, 0xbfdb5d1009e15cc0, // -0.90399, -0.42756 + 0xbfece819488344ce, 0xbfdb73c62d520624, // -0.90333, -0.42894 + 0xbfece2b32799a060, 0xbfdb8a7814fd5693, // -0.90267, -0.43033 + 0xbfecdd489254fe65, 0xbfdba125bd63583e, // -0.90201, -0.43171 + 0xbfecd7d9898b32f6, 0xbfdbb7cf2304bd01, // -0.90135, -0.43309 + 0xbfecd2660e12c1e6, 0xbfdbce744262deee, // -0.90068, -0.43448 + 0xbfecccee20c2de9f, 0xbfdbe51517ffc0d9, // -0.90002, -0.43586 + 0xbfecc771c2736c09, 0xbfdbfbb1a05e0edc, // -0.89935, -0.43724 + 0xbfecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // -0.89867, -0.43862 + 0xbfecbc6bb638d10b, 0xbfdc28ddbb6cf145, // -0.898, -0.43999 + 0xbfecb6e20a00da99, 0xbfdc3f6d47263129, // -0.89732, -0.44137 + 0xbfecb153f02fb87d, 0xbfdc55f877b23537, // -0.89665, -0.44275 + 0xbfecabc169a0b901, 0xbfdc6c7f4997000a, // -0.89597, -0.44412 + 0xbfeca62a772fd919, 0xbfdc8301b95b40c2, // -0.89528, -0.4455 + 0xbfeca08f19b9c449, 0xbfdc997fc3865388, // -0.8946, -0.44687 + 0xbfec9aef521bd480, 0xbfdcaff964a0421d, // -0.89391, -0.44824 + 0xbfec954b213411f5, 0xbfdcc66e9931c45d, // -0.89322, -0.44961 + 0xbfec8fa287e13305, 0xbfdcdcdf5dc440ce, // -0.89253, -0.45098 + 0xbfec89f587029c13, 0xbfdcf34baee1cd21, // -0.89184, -0.45235 + 0xbfec84441f785f61, 0xbfdd09b389152ec1, // -0.89115, -0.45372 + 0xbfec7e8e52233cf3, 0xbfdd2016e8e9db5b, // -0.89045, -0.45508 + 0xbfec78d41fe4a267, 0xbfdd3675caebf962, // -0.88975, -0.45645 + 0xbfec7315899eaad7, 0xbfdd4cd02ba8609c, // -0.88905, -0.45781 + 0xbfec6d5290341eb2, 0xbfdd632607ac9aa9, // -0.88835, -0.45918 + 0xbfec678b3488739b, 0xbfdd79775b86e389, // -0.88764, -0.46054 + 0xbfec61bf777fcc48, 0xbfdd8fc423c62a25, // -0.88693, -0.4619 + 0xbfec5bef59fef85a, 0xbfdda60c5cfa10d8, // -0.88622, -0.46326 + 0xbfec561adceb743e, 0xbfddbc5003b2edf8, // -0.88551, -0.46462 + 0xbfec5042012b6907, 0xbfddd28f1481cc58, // -0.8848, -0.46598 + 0xbfec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // -0.88408, -0.46733 + 0xbfec44833141c004, 0xbfddfeff66a941de, // -0.88336, -0.46869 + 0xbfec3e9d3ee7d262, 0xbfde1530a12779f4, // -0.88264, -0.47004 + 0xbfec38b2f180bdb1, 0xbfde2b5d3806f63b, // -0.88192, -0.4714 + 0xbfec32c449f60831, 0xbfde418527dc4ffa, // -0.8812, -0.47275 + 0xbfec2cd14931e3f1, 0xbfde57a86d3cd824, // -0.88047, -0.4741 + 0xbfec26d9f01f2eaf, 0xbfde6dc704be97e2, // -0.87974, -0.47545 + 0xbfec20de3fa971b0, 0xbfde83e0eaf85113, // -0.87901, -0.4768 + 0xbfec1ade38bce19b, 0xbfde99f61c817eda, // -0.87828, -0.47815 + 0xbfec14d9dc465e58, 0xbfdeb00695f25620, // -0.87755, -0.47949 + 0xbfec0ed12b3372e9, 0xbfdec61253e3c61b, // -0.87681, -0.48084 + 0xbfec08c426725549, 0xbfdedc1952ef78d5, // -0.87607, -0.48218 + 0xbfec02b2cef1e641, 0xbfdef21b8fafd3b5, // -0.87533, -0.48353 + 0xbfebfc9d25a1b147, 0xbfdf081906bff7fd, // -0.87459, -0.48487 + 0xbfebf6832b71ec5b, 0xbfdf1e11b4bbc35c, // -0.87384, -0.48621 + 0xbfebf064e15377dd, 0xbfdf3405963fd068, // -0.87309, -0.48755 + 0xbfebea424837de6d, 0xbfdf49f4a7e97729, // -0.87235, -0.48889 + 0xbfebe41b611154c1, 0xbfdf5fdee656cda3, // -0.8716, -0.49023 + 0xbfebddf02cd2b983, 0xbfdf75c44e26a852, // -0.87084, -0.49156 + 0xbfebd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // -0.87009, -0.4929 + 0xbfebd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // -0.86933, -0.49423 + 0xbfebcb54cb0d2327, 0xbfdfb7575c24d2de, // -0.86857, -0.49557 + 0xbfebc5186bf8361d, 0xbfdfcd2947c1ff57, // -0.86781, -0.4969 + 0xbfebbed7c49380ea, 0xbfdfe2f64be7120f, // -0.86705, -0.49823 + 0xbfebb892d5d5dad5, 0xbfdff8be6537615e, // -0.86628, -0.49956 + 0xbfebb249a0b6c40d, 0xbfe00740c82b82e0, // -0.86551, -0.50089 + 0xbfebabfc262e6586, 0xbfe0121fe4f56d2c, // -0.86474, -0.50221 + 0xbfeba5aa673590d2, 0xbfe01cfc874c3eb7, // -0.86397, -0.50354 + 0xbfeb9f5464c5bffc, 0xbfe027d6ad83287e, // -0.8632, -0.50486 + 0xbfeb98fa1fd9155e, 0xbfe032ae55edbd95, // -0.86242, -0.50619 + 0xbfeb929b996a5b7f, 0xbfe03d837edff370, // -0.86165, -0.50751 + 0xbfeb8c38d27504e9, 0xbfe0485626ae221a, // -0.86087, -0.50883 + 0xbfeb85d1cbf52c02, 0xbfe053264bad0483, // -0.86009, -0.51015 + 0xbfeb7f6686e792ea, 0xbfe05df3ec31b8b6, // -0.8593, -0.51147 + 0xbfeb78f70449a34b, 0xbfe068bf0691c028, // -0.85852, -0.51279 + 0xbfeb728345196e3e, 0xbfe073879922ffed, // -0.85773, -0.5141 + 0xbfeb6c0b4a55ac17, 0xbfe07e4da23bc102, // -0.85694, -0.51542 + 0xbfeb658f14fdbc47, 0xbfe089112032b08c, // -0.85615, -0.51673 + 0xbfeb5f0ea611a532, 0xbfe093d2115ee018, // -0.85535, -0.51804 + 0xbfeb5889fe921405, 0xbfe09e907417c5e1, // -0.85456, -0.51936 + 0xbfeb52011f805c92, 0xbfe0a94c46b53d0b, // -0.85376, -0.52067 + 0xbfeb4b7409de7925, 0xbfe0b405878f85ec, // -0.85296, -0.52198 + 0xbfeb44e2beaf0a61, 0xbfe0bebc34ff4646, // -0.85216, -0.52328 + 0xbfeb3e4d3ef55712, 0xbfe0c9704d5d898f, // -0.85136, -0.52459 + 0xbfeb37b38bb54c09, 0xbfe0d421cf03c12b, // -0.85055, -0.5259 + 0xbfeb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // -0.84974, -0.5272 + 0xbfeb2a738eb51f33, 0xbfe0e97d078fd23b, // -0.84893, -0.5285 + 0xbfeb23cd470013b4, 0xbfe0f426bb2a8e7d, // -0.84812, -0.5298 + 0xbfeb1d22cfdadcc6, 0xbfe0fecdd1770537, // -0.84731, -0.5311 + 0xbfeb16742a4ca2f5, 0xbfe1097248d0a956, // -0.84649, -0.5324 + 0xbfeb0fc1575d33db, 0xbfe114141f935545, // -0.84567, -0.5337 + 0xbfeb090a58150200, 0xbfe11eb3541b4b22, // -0.84485, -0.535 + 0xbfeb024f2d7d24a9, 0xbfe1294fe4c5350a, // -0.84403, -0.53629 + 0xbfeafb8fd89f57b6, 0xbfe133e9cfee254e, // -0.84321, -0.53759 + 0xbfeaf4cc5a85fb73, 0xbfe13e8113f396c1, // -0.84238, -0.53888 + 0xbfeaee04b43c1474, 0xbfe14915af336ceb, // -0.84155, -0.54017 + 0xbfeae738e6cd4b67, 0xbfe153a7a00bf453, // -0.84073, -0.54146 + 0xbfeae068f345ecef, 0xbfe15e36e4dbe2bc, // -0.83989, -0.54275 + 0xbfead994dab2e979, 0xbfe168c37c025764, // -0.83906, -0.54404 + 0xbfead2bc9e21d511, 0xbfe1734d63dedb49, // -0.83822, -0.54532 + 0xbfeacbe03ea0e73b, 0xbfe17dd49ad16161, // -0.83739, -0.54661 + 0xbfeac4ffbd3efac8, 0xbfe188591f3a46e5, // -0.83655, -0.54789 + 0xbfeabe1b1b0b8dac, 0xbfe192daef7a5386, // -0.83571, -0.54918 + 0xbfeab7325916c0d4, 0xbfe19d5a09f2b9b8, // -0.83486, -0.55046 + 0xbfeab045787157ff, 0xbfe1a7d66d0516e6, // -0.83402, -0.55174 + 0xbfeaa9547a2cb98e, 0xbfe1b250171373be, // -0.83317, -0.55302 + 0xbfeaa25f5f5aee60, 0xbfe1bcc706804467, // -0.83232, -0.55429 + 0xbfea9b66290ea1a3, 0xbfe1c73b39ae68c8, // -0.83147, -0.55557 + 0xbfea9468d85b20ae, 0xbfe1d1acaf012cc2, // -0.83062, -0.55685 + 0xbfea8d676e545ad2, 0xbfe1dc1b64dc4872, // -0.82976, -0.55812 + 0xbfea8661ec0ee133, 0xbfe1e68759a3e074, // -0.8289, -0.55939 + 0xbfea7f58529fe69d, 0xbfe1f0f08bbc861b, // -0.82805, -0.56066 + 0xbfea784aa31d3f55, 0xbfe1fb56f98b37b8, // -0.82718, -0.56193 + 0xbfea7138de9d60f5, 0xbfe205baa17560d6, // -0.82632, -0.5632 + 0xbfea6a230637623b, 0xbfe2101b81e0da78, // -0.82546, -0.56447 + 0xbfea63091b02fae2, 0xbfe21a799933eb58, // -0.82459, -0.56573 + 0xbfea5beb1e188375, 0xbfe224d4e5d5482e, // -0.82372, -0.567 + 0xbfea54c91090f524, 0xbfe22f2d662c13e1, // -0.82285, -0.56826 + 0xbfea4da2f385e997, 0xbfe23983189fdfd5, // -0.82198, -0.56952 + 0xbfea4678c8119ac8, 0xbfe243d5fb98ac1f, // -0.8211, -0.57078 + 0xbfea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // -0.82023, -0.57204 + 0xbfea38184a593bc6, 0xbfe258734cbb7110, // -0.81935, -0.5733 + 0xbfea30e1fa4cbf81, 0xbfe262bdb7b795a2, // -0.81847, -0.57455 + 0xbfea29a7a0462782, 0xbfe26d054cdd12df, // -0.81758, -0.57581 + 0xbfea22693d62ccb9, 0xbfe2774a0a961612, // -0.8167, -0.57706 + 0xbfea1b26d2c0a75e, 0xbfe2818bef4d3cba, // -0.81581, -0.57831 + 0xbfea13e0617e4ec7, 0xbfe28bcaf96d94ba, // -0.81493, -0.57956 + 0xbfea0c95eabaf937, 0xbfe2960727629ca8, // -0.81404, -0.58081 + 0xbfea05476f967bb5, 0xbfe2a040779843fb, // -0.81314, -0.58206 + 0xbfe9fdf4f13149de, 0xbfe2aa76e87aeb58, // -0.81225, -0.58331 + 0xbfe9f69e70ac75bc, 0xbfe2b4aa787764c4, // -0.81135, -0.58455 + 0xbfe9ef43ef29af94, 0xbfe2bedb25faf3ea, // -0.81046, -0.5858 + 0xbfe9e7e56dcb45bd, 0xbfe2c908ef734e57, // -0.80956, -0.58704 + 0xbfe9e082edb42472, 0xbfe2d333d34e9bb7, // -0.80866, -0.58828 + 0xbfe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // -0.80775, -0.58952 + 0xbfe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // -0.80685, -0.59076 + 0xbfe9ca438080eadb, 0xbfe2f1a30d86773a, // -0.80594, -0.592 + 0xbfe9c2d110f075c3, 0xbfe2fbc24b441015, // -0.80503, -0.59323 + 0xbfe9bb5aa85f2098, 0xbfe305de9b921a94, // -0.80412, -0.59447 + 0xbfe9b3e047f38741, 0xbfe30ff7fce17035, // -0.80321, -0.5957 + 0xbfe9ac61f0d4e247, 0xbfe31a0e6da35e44, // -0.80229, -0.59693 + 0xbfe9a4dfa42b06b2, 0xbfe32421ec49a620, // -0.80138, -0.59816 + 0xbfe99d59631e65d5, 0xbfe32e3277467d6b, // -0.80046, -0.59939 + 0xbfe995cf2ed80d22, 0xbfe338400d0c8e57, // -0.79954, -0.60062 + 0xbfe98e410881a600, 0xbfe3424aac0ef7d6, // -0.79861, -0.60184 + 0xbfe986aef1457594, 0xbfe34c5252c14de1, // -0.79769, -0.60307 + 0xbfe97f18ea4e5c9e, 0xbfe35656ff9799ae, // -0.79676, -0.60429 + 0xbfe9777ef4c7d742, 0xbfe36058b10659f3, // -0.79584, -0.60551 + 0xbfe96fe111ddfce0, 0xbfe36a576582831b, // -0.79491, -0.60673 + 0xbfe9683f42bd7fe1, 0xbfe374531b817f8d, // -0.79398, -0.60795 + 0xbfe960998893ad8c, 0xbfe37e4bd1792fe2, // -0.79304, -0.60917 + 0xbfe958efe48e6dd7, 0xbfe3884185dfeb22, // -0.79211, -0.61038 + 0xbfe9514257dc4335, 0xbfe39234372c7f04, // -0.79117, -0.6116 + 0xbfe94990e3ac4a6c, 0xbfe39c23e3d63029, // -0.79023, -0.61281 + 0xbfe941db892e3a65, 0xbfe3a6108a54ba58, // -0.78929, -0.61402 + 0xbfe93a22499263fc, 0xbfe3affa292050b9, // -0.78835, -0.61523 + 0xbfe932652609b1cf, 0xbfe3b9e0beb19e18, // -0.7874, -0.61644 + 0xbfe92aa41fc5a815, 0xbfe3c3c44981c517, // -0.78646, -0.61765 + 0xbfe922df37f8646a, 0xbfe3cda4c80a6076, // -0.78551, -0.61885 + 0xbfe91b166fd49da2, 0xbfe3d78238c58343, // -0.78456, -0.62006 + 0xbfe91349c88da398, 0xbfe3e15c9a2db922, // -0.7836, -0.62126 + 0xbfe90b7943575efe, 0xbfe3eb33eabe0680, // -0.78265, -0.62246 + 0xbfe903a4e1665133, 0xbfe3f50828f1e8d2, // -0.78169, -0.62366 + 0xbfe8fbcca3ef940d, 0xbfe3fed9534556d4, // -0.78074, -0.62486 + 0xbfe8f3f08c28d9ac, 0xbfe408a76834c0c0, // -0.77978, -0.62606 + 0xbfe8ec109b486c49, 0xbfe41272663d108c, // -0.77882, -0.62725 + 0xbfe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // -0.77785, -0.62845 + 0xbfe8dc45331698cc, 0xbfe425ff178e6bb1, // -0.77689, -0.62964 + 0xbfe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // -0.77592, -0.63083 + 0xbfe8cc6a75184655, 0xbfe4397f5b2a4380, // -0.77495, -0.63202 + 0xbfe8c47758fa71cb, 0xbfe4433ad0117b1d, // -0.77398, -0.63321 + 0xbfe8bc806b151741, 0xbfe44cf325091dd6, // -0.77301, -0.63439 + 0xbfe8b485aca2a468, 0xbfe456a858917046, // -0.77204, -0.63558 + 0xbfe8ac871ede1d88, 0xbfe4605a692b32a2, // -0.77106, -0.63676 + 0xbfe8a484c3031d50, 0xbfe46a095557a0f1, // -0.77008, -0.63794 + 0xbfe89c7e9a4dd4ab, 0xbfe473b51b987347, // -0.7691, -0.63912 + 0xbfe89474a5fb0a84, 0xbfe47d5dba6fde01, // -0.76812, -0.6403 + 0xbfe88c66e7481ba1, 0xbfe48703306091fe, // -0.76714, -0.64148 + 0xbfe884555f72fa6b, 0xbfe490a57bedbcdf, // -0.76615, -0.64266 + 0xbfe87c400fba2ebf, 0xbfe49a449b9b0938, // -0.76517, -0.64383 + 0xbfe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // -0.76418, -0.645 + 0xbfe86c0a1d9aa195, 0xbfe4ad79516722f0, // -0.76319, -0.64618 + 0xbfe863e97db3d95a, 0xbfe4b70ee48fb869, // -0.7622, -0.64735 + 0xbfe85bc51ae958cc, 0xbfe4c0a145ec0004, // -0.7612, -0.64851 + 0xbfe8539cf67c9029, 0xbfe4ca30740218a3, // -0.76021, -0.64968 + 0xbfe84b7111af83f9, 0xbfe4d3bc6d589f80, // -0.75921, -0.65085 + 0xbfe843416dc4cce2, 0xbfe4dd453076b064, // -0.75821, -0.65201 + 0xbfe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // -0.75721, -0.65317 + 0xbfe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // -0.75621, -0.65433 + 0xbfe82a9c13f545ff, 0xbfe4f9cc25cca486, // -0.7552, -0.65549 + 0xbfe8225d803964e5, 0xbfe503480159ded2, // -0.75419, -0.65665 + 0xbfe81a1b33b57acc, 0xbfe50cc09f59a09b, // -0.75319, -0.65781 + 0xbfe811d52faf94dc, 0xbfe51635fe5601d7, // -0.75218, -0.65896 + 0xbfe8098b756e52fa, 0xbfe51fa81cd99aa6, // -0.75117, -0.66011 + 0xbfe8013e0638e795, 0xbfe52916f96f8388, // -0.75015, -0.66127 + 0xbfe7f8ece3571771, 0xbfe5328292a35596, // -0.74914, -0.66242 + 0xbfe7f0980e113978, 0xbfe53beae7012abe, // -0.74812, -0.66356 + 0xbfe7e83f87b03686, 0xbfe5454ff5159dfb, // -0.7471, -0.66471 + 0xbfe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // -0.74608, -0.66586 + 0xbfe7d7836cc33db2, 0xbfe5581038975137, // -0.74506, -0.667 + 0xbfe7cf1fdacbf179, 0xbfe5616b6b204e6e, // -0.74403, -0.66814 + 0xbfe7c6b89ce2d333, 0xbfe56ac35197649e, // -0.74301, -0.66928 + 0xbfe7be4db453a27c, 0xbfe57417ea8bb75c, // -0.74198, -0.67042 + 0xbfe7b5df226aafb0, 0xbfe57d69348cec9f, // -0.74095, -0.67156 + 0xbfe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // -0.73992, -0.67269 + 0xbfe7a4f707bf97d2, 0xbfe59001d5f723df, // -0.73889, -0.67383 + 0xbfe79c7d8198e56e, 0xbfe599492a81ffbc, // -0.73785, -0.67496 + 0xbfe79400574f55e4, 0xbfe5a28d2a5d7250, // -0.73682, -0.67609 + 0xbfe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // -0.73578, -0.67722 + 0xbfe782fb1b90b35b, 0xbfe5b50b264f7448, // -0.73474, -0.67835 + 0xbfe77a730cbb9100, 0xbfe5be451f8bf980, // -0.7337, -0.67948 + 0xbfe771e75f037261, 0xbfe5c77bbe65018c, // -0.73265, -0.6806 + 0xbfe7695813b9b594, 0xbfe5d0af016ed1d4, // -0.73161, -0.68172 + 0xbfe760c52c304764, 0xbfe5d9dee73e345c, // -0.73056, -0.68285 + 0xbfe7582ea9b9a329, 0xbfe5e30b6e6877f3, // -0.72951, -0.68397 + 0xbfe74f948da8d28d, 0xbfe5ec3495837074, // -0.72846, -0.68508 + 0xbfe746f6d9516d59, 0xbfe5f55a5b2576f8, // -0.72741, -0.6862 + 0xbfe73e558e079942, 0xbfe5fe7cbde56a0f, // -0.72636, -0.68732 + 0xbfe735b0ad2009b2, 0xbfe6079bbc5aadfa, // -0.7253, -0.68843 + 0xbfe72d0837efff97, 0xbfe610b7551d2cde, // -0.72425, -0.68954 + 0xbfe7245c2fcd492a, 0xbfe619cf86c55702, // -0.72319, -0.69065 + 0xbfe71bac960e41bf, 0xbfe622e44fec22ff, // -0.72213, -0.69176 + 0xbfe712f96c09d18d, 0xbfe62bf5af2b0dfd, // -0.72107, -0.69287 + 0xbfe70a42b3176d7a, 0xbfe63503a31c1be8, // -0.72, -0.69397 + 0xbfe701886c8f16e6, 0xbfe63e0e2a59d7aa, // -0.71894, -0.69508 + 0xbfe6f8ca99c95b75, 0xbfe64715437f535b, // -0.71787, -0.69618 + 0xbfe6f0093c1f54de, 0xbfe65018ed28287f, // -0.7168, -0.69728 + 0xbfe6e74454eaa8ae, 0xbfe6591925f0783e, // -0.71573, -0.69838 + 0xbfe6de7be585881d, 0xbfe66215ec74eb91, // -0.71466, -0.69947 + 0xbfe6d5afef4aafcc, 0xbfe66b0f3f52b386, // -0.71358, -0.70057 + 0xbfe6cce07395679f, 0xbfe674051d27896c, // -0.71251, -0.70166 + 0xbfe6c40d73c18275, 0xbfe67cf78491af10, // -0.71143, -0.70275 + 0xbfe6bb36f12b5e06, 0xbfe685e6742feeef, // -0.71035, -0.70385 + 0xbfe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // -0.70927, -0.70493 + 0xbfe6a97f692c82ea, 0xbfe697b9e686941c, // -0.70819, -0.70602 + 0xbfe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // -0.70711, -0.70711 + 0xbfe697b9e686941c, 0xbfe6a97f692c82ea, // -0.70602, -0.70819 + 0xbfe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // -0.70493, -0.70927 + 0xbfe685e6742feeef, 0xbfe6bb36f12b5e06, // -0.70385, -0.71035 + 0xbfe67cf78491af10, 0xbfe6c40d73c18275, // -0.70275, -0.71143 + 0xbfe674051d27896c, 0xbfe6cce07395679f, // -0.70166, -0.71251 + 0xbfe66b0f3f52b386, 0xbfe6d5afef4aafcc, // -0.70057, -0.71358 + 0xbfe66215ec74eb91, 0xbfe6de7be585881d, // -0.69947, -0.71466 + 0xbfe6591925f0783e, 0xbfe6e74454eaa8ae, // -0.69838, -0.71573 + 0xbfe65018ed28287f, 0xbfe6f0093c1f54de, // -0.69728, -0.7168 + 0xbfe64715437f535b, 0xbfe6f8ca99c95b75, // -0.69618, -0.71787 + 0xbfe63e0e2a59d7aa, 0xbfe701886c8f16e6, // -0.69508, -0.71894 + 0xbfe63503a31c1be8, 0xbfe70a42b3176d7a, // -0.69397, -0.72 + 0xbfe62bf5af2b0dfd, 0xbfe712f96c09d18d, // -0.69287, -0.72107 + 0xbfe622e44fec22ff, 0xbfe71bac960e41bf, // -0.69176, -0.72213 + 0xbfe619cf86c55702, 0xbfe7245c2fcd492a, // -0.69065, -0.72319 + 0xbfe610b7551d2cde, 0xbfe72d0837efff97, // -0.68954, -0.72425 + 0xbfe6079bbc5aadfa, 0xbfe735b0ad2009b2, // -0.68843, -0.7253 + 0xbfe5fe7cbde56a0f, 0xbfe73e558e079942, // -0.68732, -0.72636 + 0xbfe5f55a5b2576f8, 0xbfe746f6d9516d59, // -0.6862, -0.72741 + 0xbfe5ec3495837074, 0xbfe74f948da8d28d, // -0.68508, -0.72846 + 0xbfe5e30b6e6877f3, 0xbfe7582ea9b9a329, // -0.68397, -0.72951 + 0xbfe5d9dee73e345c, 0xbfe760c52c304764, // -0.68285, -0.73056 + 0xbfe5d0af016ed1d4, 0xbfe7695813b9b594, // -0.68172, -0.73161 + 0xbfe5c77bbe65018c, 0xbfe771e75f037261, // -0.6806, -0.73265 + 0xbfe5be451f8bf980, 0xbfe77a730cbb9100, // -0.67948, -0.7337 + 0xbfe5b50b264f7448, 0xbfe782fb1b90b35b, // -0.67835, -0.73474 + 0xbfe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // -0.67722, -0.73578 + 0xbfe5a28d2a5d7250, 0xbfe79400574f55e4, // -0.67609, -0.73682 + 0xbfe599492a81ffbc, 0xbfe79c7d8198e56e, // -0.67496, -0.73785 + 0xbfe59001d5f723df, 0xbfe7a4f707bf97d2, // -0.67383, -0.73889 + 0xbfe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // -0.67269, -0.73992 + 0xbfe57d69348cec9f, 0xbfe7b5df226aafb0, // -0.67156, -0.74095 + 0xbfe57417ea8bb75c, 0xbfe7be4db453a27c, // -0.67042, -0.74198 + 0xbfe56ac35197649e, 0xbfe7c6b89ce2d333, // -0.66928, -0.74301 + 0xbfe5616b6b204e6e, 0xbfe7cf1fdacbf179, // -0.66814, -0.74403 + 0xbfe5581038975137, 0xbfe7d7836cc33db2, // -0.667, -0.74506 + 0xbfe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // -0.66586, -0.74608 + 0xbfe5454ff5159dfb, 0xbfe7e83f87b03686, // -0.66471, -0.7471 + 0xbfe53beae7012abe, 0xbfe7f0980e113978, // -0.66356, -0.74812 + 0xbfe5328292a35596, 0xbfe7f8ece3571771, // -0.66242, -0.74914 + 0xbfe52916f96f8388, 0xbfe8013e0638e795, // -0.66127, -0.75015 + 0xbfe51fa81cd99aa6, 0xbfe8098b756e52fa, // -0.66011, -0.75117 + 0xbfe51635fe5601d7, 0xbfe811d52faf94dc, // -0.65896, -0.75218 + 0xbfe50cc09f59a09b, 0xbfe81a1b33b57acc, // -0.65781, -0.75319 + 0xbfe503480159ded2, 0xbfe8225d803964e5, // -0.65665, -0.75419 + 0xbfe4f9cc25cca486, 0xbfe82a9c13f545ff, // -0.65549, -0.7552 + 0xbfe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // -0.65433, -0.75621 + 0xbfe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // -0.65317, -0.75721 + 0xbfe4dd453076b064, 0xbfe843416dc4cce2, // -0.65201, -0.75821 + 0xbfe4d3bc6d589f80, 0xbfe84b7111af83f9, // -0.65085, -0.75921 + 0xbfe4ca30740218a3, 0xbfe8539cf67c9029, // -0.64968, -0.76021 + 0xbfe4c0a145ec0004, 0xbfe85bc51ae958cc, // -0.64851, -0.7612 + 0xbfe4b70ee48fb869, 0xbfe863e97db3d95a, // -0.64735, -0.7622 + 0xbfe4ad79516722f0, 0xbfe86c0a1d9aa195, // -0.64618, -0.76319 + 0xbfe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // -0.645, -0.76418 + 0xbfe49a449b9b0938, 0xbfe87c400fba2ebf, // -0.64383, -0.76517 + 0xbfe490a57bedbcdf, 0xbfe884555f72fa6b, // -0.64266, -0.76615 + 0xbfe48703306091fe, 0xbfe88c66e7481ba1, // -0.64148, -0.76714 + 0xbfe47d5dba6fde01, 0xbfe89474a5fb0a84, // -0.6403, -0.76812 + 0xbfe473b51b987347, 0xbfe89c7e9a4dd4ab, // -0.63912, -0.7691 + 0xbfe46a095557a0f1, 0xbfe8a484c3031d50, // -0.63794, -0.77008 + 0xbfe4605a692b32a2, 0xbfe8ac871ede1d88, // -0.63676, -0.77106 + 0xbfe456a858917046, 0xbfe8b485aca2a468, // -0.63558, -0.77204 + 0xbfe44cf325091dd6, 0xbfe8bc806b151741, // -0.63439, -0.77301 + 0xbfe4433ad0117b1d, 0xbfe8c47758fa71cb, // -0.63321, -0.77398 + 0xbfe4397f5b2a4380, 0xbfe8cc6a75184655, // -0.63202, -0.77495 + 0xbfe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // -0.63083, -0.77592 + 0xbfe425ff178e6bb1, 0xbfe8dc45331698cc, // -0.62964, -0.77689 + 0xbfe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // -0.62845, -0.77785 + 0xbfe41272663d108c, 0xbfe8ec109b486c49, // -0.62725, -0.77882 + 0xbfe408a76834c0c0, 0xbfe8f3f08c28d9ac, // -0.62606, -0.77978 + 0xbfe3fed9534556d4, 0xbfe8fbcca3ef940d, // -0.62486, -0.78074 + 0xbfe3f50828f1e8d2, 0xbfe903a4e1665133, // -0.62366, -0.78169 + 0xbfe3eb33eabe0680, 0xbfe90b7943575efe, // -0.62246, -0.78265 + 0xbfe3e15c9a2db922, 0xbfe91349c88da398, // -0.62126, -0.7836 + 0xbfe3d78238c58343, 0xbfe91b166fd49da2, // -0.62006, -0.78456 + 0xbfe3cda4c80a6076, 0xbfe922df37f8646a, // -0.61885, -0.78551 + 0xbfe3c3c44981c517, 0xbfe92aa41fc5a815, // -0.61765, -0.78646 + 0xbfe3b9e0beb19e18, 0xbfe932652609b1cf, // -0.61644, -0.7874 + 0xbfe3affa292050b9, 0xbfe93a22499263fc, // -0.61523, -0.78835 + 0xbfe3a6108a54ba58, 0xbfe941db892e3a65, // -0.61402, -0.78929 + 0xbfe39c23e3d63029, 0xbfe94990e3ac4a6c, // -0.61281, -0.79023 + 0xbfe39234372c7f04, 0xbfe9514257dc4335, // -0.6116, -0.79117 + 0xbfe3884185dfeb22, 0xbfe958efe48e6dd7, // -0.61038, -0.79211 + 0xbfe37e4bd1792fe2, 0xbfe960998893ad8c, // -0.60917, -0.79304 + 0xbfe374531b817f8d, 0xbfe9683f42bd7fe1, // -0.60795, -0.79398 + 0xbfe36a576582831b, 0xbfe96fe111ddfce0, // -0.60673, -0.79491 + 0xbfe36058b10659f3, 0xbfe9777ef4c7d742, // -0.60551, -0.79584 + 0xbfe35656ff9799ae, 0xbfe97f18ea4e5c9e, // -0.60429, -0.79676 + 0xbfe34c5252c14de1, 0xbfe986aef1457594, // -0.60307, -0.79769 + 0xbfe3424aac0ef7d6, 0xbfe98e410881a600, // -0.60184, -0.79861 + 0xbfe338400d0c8e57, 0xbfe995cf2ed80d22, // -0.60062, -0.79954 + 0xbfe32e3277467d6b, 0xbfe99d59631e65d5, // -0.59939, -0.80046 + 0xbfe32421ec49a620, 0xbfe9a4dfa42b06b2, // -0.59816, -0.80138 + 0xbfe31a0e6da35e44, 0xbfe9ac61f0d4e247, // -0.59693, -0.80229 + 0xbfe30ff7fce17035, 0xbfe9b3e047f38741, // -0.5957, -0.80321 + 0xbfe305de9b921a94, 0xbfe9bb5aa85f2098, // -0.59447, -0.80412 + 0xbfe2fbc24b441015, 0xbfe9c2d110f075c3, // -0.59323, -0.80503 + 0xbfe2f1a30d86773a, 0xbfe9ca438080eadb, // -0.592, -0.80594 + 0xbfe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // -0.59076, -0.80685 + 0xbfe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // -0.58952, -0.80775 + 0xbfe2d333d34e9bb7, 0xbfe9e082edb42472, // -0.58828, -0.80866 + 0xbfe2c908ef734e57, 0xbfe9e7e56dcb45bd, // -0.58704, -0.80956 + 0xbfe2bedb25faf3ea, 0xbfe9ef43ef29af94, // -0.5858, -0.81046 + 0xbfe2b4aa787764c4, 0xbfe9f69e70ac75bc, // -0.58455, -0.81135 + 0xbfe2aa76e87aeb58, 0xbfe9fdf4f13149de, // -0.58331, -0.81225 + 0xbfe2a040779843fb, 0xbfea05476f967bb5, // -0.58206, -0.81314 + 0xbfe2960727629ca8, 0xbfea0c95eabaf937, // -0.58081, -0.81404 + 0xbfe28bcaf96d94ba, 0xbfea13e0617e4ec7, // -0.57956, -0.81493 + 0xbfe2818bef4d3cba, 0xbfea1b26d2c0a75e, // -0.57831, -0.81581 + 0xbfe2774a0a961612, 0xbfea22693d62ccb9, // -0.57706, -0.8167 + 0xbfe26d054cdd12df, 0xbfea29a7a0462782, // -0.57581, -0.81758 + 0xbfe262bdb7b795a2, 0xbfea30e1fa4cbf81, // -0.57455, -0.81847 + 0xbfe258734cbb7110, 0xbfea38184a593bc6, // -0.5733, -0.81935 + 0xbfe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // -0.57204, -0.82023 + 0xbfe243d5fb98ac1f, 0xbfea4678c8119ac8, // -0.57078, -0.8211 + 0xbfe23983189fdfd5, 0xbfea4da2f385e997, // -0.56952, -0.82198 + 0xbfe22f2d662c13e1, 0xbfea54c91090f524, // -0.56826, -0.82285 + 0xbfe224d4e5d5482e, 0xbfea5beb1e188375, // -0.567, -0.82372 + 0xbfe21a799933eb58, 0xbfea63091b02fae2, // -0.56573, -0.82459 + 0xbfe2101b81e0da78, 0xbfea6a230637623b, // -0.56447, -0.82546 + 0xbfe205baa17560d6, 0xbfea7138de9d60f5, // -0.5632, -0.82632 + 0xbfe1fb56f98b37b8, 0xbfea784aa31d3f55, // -0.56193, -0.82718 + 0xbfe1f0f08bbc861b, 0xbfea7f58529fe69d, // -0.56066, -0.82805 + 0xbfe1e68759a3e074, 0xbfea8661ec0ee133, // -0.55939, -0.8289 + 0xbfe1dc1b64dc4872, 0xbfea8d676e545ad2, // -0.55812, -0.82976 + 0xbfe1d1acaf012cc2, 0xbfea9468d85b20ae, // -0.55685, -0.83062 + 0xbfe1c73b39ae68c8, 0xbfea9b66290ea1a3, // -0.55557, -0.83147 + 0xbfe1bcc706804467, 0xbfeaa25f5f5aee60, // -0.55429, -0.83232 + 0xbfe1b250171373be, 0xbfeaa9547a2cb98e, // -0.55302, -0.83317 + 0xbfe1a7d66d0516e6, 0xbfeab045787157ff, // -0.55174, -0.83402 + 0xbfe19d5a09f2b9b8, 0xbfeab7325916c0d4, // -0.55046, -0.83486 + 0xbfe192daef7a5386, 0xbfeabe1b1b0b8dac, // -0.54918, -0.83571 + 0xbfe188591f3a46e5, 0xbfeac4ffbd3efac8, // -0.54789, -0.83655 + 0xbfe17dd49ad16161, 0xbfeacbe03ea0e73b, // -0.54661, -0.83739 + 0xbfe1734d63dedb49, 0xbfead2bc9e21d511, // -0.54532, -0.83822 + 0xbfe168c37c025764, 0xbfead994dab2e979, // -0.54404, -0.83906 + 0xbfe15e36e4dbe2bc, 0xbfeae068f345ecef, // -0.54275, -0.83989 + 0xbfe153a7a00bf453, 0xbfeae738e6cd4b67, // -0.54146, -0.84073 + 0xbfe14915af336ceb, 0xbfeaee04b43c1474, // -0.54017, -0.84155 + 0xbfe13e8113f396c1, 0xbfeaf4cc5a85fb73, // -0.53888, -0.84238 + 0xbfe133e9cfee254e, 0xbfeafb8fd89f57b6, // -0.53759, -0.84321 + 0xbfe1294fe4c5350a, 0xbfeb024f2d7d24a9, // -0.53629, -0.84403 + 0xbfe11eb3541b4b22, 0xbfeb090a58150200, // -0.535, -0.84485 + 0xbfe114141f935545, 0xbfeb0fc1575d33db, // -0.5337, -0.84567 + 0xbfe1097248d0a956, 0xbfeb16742a4ca2f5, // -0.5324, -0.84649 + 0xbfe0fecdd1770537, 0xbfeb1d22cfdadcc6, // -0.5311, -0.84731 + 0xbfe0f426bb2a8e7d, 0xbfeb23cd470013b4, // -0.5298, -0.84812 + 0xbfe0e97d078fd23b, 0xbfeb2a738eb51f33, // -0.5285, -0.84893 + 0xbfe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // -0.5272, -0.84974 + 0xbfe0d421cf03c12b, 0xbfeb37b38bb54c09, // -0.5259, -0.85055 + 0xbfe0c9704d5d898f, 0xbfeb3e4d3ef55712, // -0.52459, -0.85136 + 0xbfe0bebc34ff4646, 0xbfeb44e2beaf0a61, // -0.52328, -0.85216 + 0xbfe0b405878f85ec, 0xbfeb4b7409de7925, // -0.52198, -0.85296 + 0xbfe0a94c46b53d0b, 0xbfeb52011f805c92, // -0.52067, -0.85376 + 0xbfe09e907417c5e1, 0xbfeb5889fe921405, // -0.51936, -0.85456 + 0xbfe093d2115ee018, 0xbfeb5f0ea611a532, // -0.51804, -0.85535 + 0xbfe089112032b08c, 0xbfeb658f14fdbc47, // -0.51673, -0.85615 + 0xbfe07e4da23bc102, 0xbfeb6c0b4a55ac17, // -0.51542, -0.85694 + 0xbfe073879922ffed, 0xbfeb728345196e3e, // -0.5141, -0.85773 + 0xbfe068bf0691c028, 0xbfeb78f70449a34b, // -0.51279, -0.85852 + 0xbfe05df3ec31b8b6, 0xbfeb7f6686e792ea, // -0.51147, -0.8593 + 0xbfe053264bad0483, 0xbfeb85d1cbf52c02, // -0.51015, -0.86009 + 0xbfe0485626ae221a, 0xbfeb8c38d27504e9, // -0.50883, -0.86087 + 0xbfe03d837edff370, 0xbfeb929b996a5b7f, // -0.50751, -0.86165 + 0xbfe032ae55edbd95, 0xbfeb98fa1fd9155e, // -0.50619, -0.86242 + 0xbfe027d6ad83287e, 0xbfeb9f5464c5bffc, // -0.50486, -0.8632 + 0xbfe01cfc874c3eb7, 0xbfeba5aa673590d2, // -0.50354, -0.86397 + 0xbfe0121fe4f56d2c, 0xbfebabfc262e6586, // -0.50221, -0.86474 + 0xbfe00740c82b82e0, 0xbfebb249a0b6c40d, // -0.50089, -0.86551 + 0xbfdff8be6537615e, 0xbfebb892d5d5dad5, // -0.49956, -0.86628 + 0xbfdfe2f64be7120f, 0xbfebbed7c49380ea, // -0.49823, -0.86705 + 0xbfdfcd2947c1ff57, 0xbfebc5186bf8361d, // -0.4969, -0.86781 + 0xbfdfb7575c24d2de, 0xbfebcb54cb0d2327, // -0.49557, -0.86857 + 0xbfdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // -0.49423, -0.86933 + 0xbfdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // -0.4929, -0.87009 + 0xbfdf75c44e26a852, 0xbfebddf02cd2b983, // -0.49156, -0.87084 + 0xbfdf5fdee656cda3, 0xbfebe41b611154c1, // -0.49023, -0.8716 + 0xbfdf49f4a7e97729, 0xbfebea424837de6d, // -0.48889, -0.87235 + 0xbfdf3405963fd068, 0xbfebf064e15377dd, // -0.48755, -0.87309 + 0xbfdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // -0.48621, -0.87384 + 0xbfdf081906bff7fd, 0xbfebfc9d25a1b147, // -0.48487, -0.87459 + 0xbfdef21b8fafd3b5, 0xbfec02b2cef1e641, // -0.48353, -0.87533 + 0xbfdedc1952ef78d5, 0xbfec08c426725549, // -0.48218, -0.87607 + 0xbfdec61253e3c61b, 0xbfec0ed12b3372e9, // -0.48084, -0.87681 + 0xbfdeb00695f25620, 0xbfec14d9dc465e58, // -0.47949, -0.87755 + 0xbfde99f61c817eda, 0xbfec1ade38bce19b, // -0.47815, -0.87828 + 0xbfde83e0eaf85113, 0xbfec20de3fa971b0, // -0.4768, -0.87901 + 0xbfde6dc704be97e2, 0xbfec26d9f01f2eaf, // -0.47545, -0.87974 + 0xbfde57a86d3cd824, 0xbfec2cd14931e3f1, // -0.4741, -0.88047 + 0xbfde418527dc4ffa, 0xbfec32c449f60831, // -0.47275, -0.8812 + 0xbfde2b5d3806f63b, 0xbfec38b2f180bdb1, // -0.4714, -0.88192 + 0xbfde1530a12779f4, 0xbfec3e9d3ee7d262, // -0.47004, -0.88264 + 0xbfddfeff66a941de, 0xbfec44833141c004, // -0.46869, -0.88336 + 0xbfdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // -0.46733, -0.88408 + 0xbfddd28f1481cc58, 0xbfec5042012b6907, // -0.46598, -0.8848 + 0xbfddbc5003b2edf8, 0xbfec561adceb743e, // -0.46462, -0.88551 + 0xbfdda60c5cfa10d8, 0xbfec5bef59fef85a, // -0.46326, -0.88622 + 0xbfdd8fc423c62a25, 0xbfec61bf777fcc48, // -0.4619, -0.88693 + 0xbfdd79775b86e389, 0xbfec678b3488739b, // -0.46054, -0.88764 + 0xbfdd632607ac9aa9, 0xbfec6d5290341eb2, // -0.45918, -0.88835 + 0xbfdd4cd02ba8609c, 0xbfec7315899eaad7, // -0.45781, -0.88905 + 0xbfdd3675caebf962, 0xbfec78d41fe4a267, // -0.45645, -0.88975 + 0xbfdd2016e8e9db5b, 0xbfec7e8e52233cf3, // -0.45508, -0.89045 + 0xbfdd09b389152ec1, 0xbfec84441f785f61, // -0.45372, -0.89115 + 0xbfdcf34baee1cd21, 0xbfec89f587029c13, // -0.45235, -0.89184 + 0xbfdcdcdf5dc440ce, 0xbfec8fa287e13305, // -0.45098, -0.89253 + 0xbfdcc66e9931c45d, 0xbfec954b213411f5, // -0.44961, -0.89322 + 0xbfdcaff964a0421d, 0xbfec9aef521bd480, // -0.44824, -0.89391 + 0xbfdc997fc3865388, 0xbfeca08f19b9c449, // -0.44687, -0.8946 + 0xbfdc8301b95b40c2, 0xbfeca62a772fd919, // -0.4455, -0.89528 + 0xbfdc6c7f4997000a, 0xbfecabc169a0b901, // -0.44412, -0.89597 + 0xbfdc55f877b23537, 0xbfecb153f02fb87d, // -0.44275, -0.89665 + 0xbfdc3f6d47263129, 0xbfecb6e20a00da99, // -0.44137, -0.89732 + 0xbfdc28ddbb6cf145, 0xbfecbc6bb638d10b, // -0.43999, -0.898 + 0xbfdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // -0.43862, -0.89867 + 0xbfdbfbb1a05e0edc, 0xbfecc771c2736c09, // -0.43724, -0.89935 + 0xbfdbe51517ffc0d9, 0xbfecccee20c2de9f, // -0.43586, -0.90002 + 0xbfdbce744262deee, 0xbfecd2660e12c1e6, // -0.43448, -0.90068 + 0xbfdbb7cf2304bd01, 0xbfecd7d9898b32f6, // -0.43309, -0.90135 + 0xbfdba125bd63583e, 0xbfecdd489254fe65, // -0.43171, -0.90201 + 0xbfdb8a7814fd5693, 0xbfece2b32799a060, // -0.43033, -0.90267 + 0xbfdb73c62d520624, 0xbfece819488344ce, // -0.42894, -0.90333 + 0xbfdb5d1009e15cc0, 0xbfeced7af43cc773, // -0.42756, -0.90399 + 0xbfdb4655ae2bf757, 0xbfecf2d829f1b40e, // -0.42617, -0.90464 + 0xbfdb2f971db31972, 0xbfecf830e8ce467b, // -0.42478, -0.9053 + 0xbfdb18d45bf8aca6, 0xbfecfd852fff6ad4, // -0.42339, -0.90595 + 0xbfdb020d6c7f4009, 0xbfed02d4feb2bd92, // -0.422, -0.9066 + 0xbfdaeb4252ca07ab, 0xbfed082054168bac, // -0.42061, -0.90724 + 0xbfdad473125cdc08, 0xbfed0d672f59d2b9, // -0.41922, -0.90789 + 0xbfdabd9faebc3980, 0xbfed12a98fac410c, // -0.41782, -0.90853 + 0xbfdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // -0.41643, -0.90917 + 0xbfda8fec8bf5b166, 0xbfed1d20dc40c15c, // -0.41503, -0.90981 + 0xbfda790cd3dbf31a, 0xbfed2255c6e5a4e1, // -0.41364, -0.91044 + 0xbfda622906a70b63, 0xbfed2786335f52fc, // -0.41224, -0.91107 + 0xbfda4b4127dea1e4, 0xbfed2cb220e0ef9f, // -0.41084, -0.91171 + 0xbfda34553b0afee5, 0xbfed31d98e9e503a, // -0.40944, -0.91234 + 0xbfda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // -0.40804, -0.91296 + 0xbfda067145664d57, 0xbfed3c1ae79f2b4e, // -0.40664, -0.91359 + 0xbfd9ef7943a8ed8a, 0xbfed4134d14dc93a, // -0.40524, -0.91421 + 0xbfd9d87d4207b0ab, 0xbfed464a380e7242, // -0.40384, -0.91483 + 0xbfd9c17d440df9f2, 0xbfed4b5b1b187524, // -0.40243, -0.91545 + 0xbfd9aa794d47c9ee, 0xbfed506779a3d2d9, // -0.40103, -0.91606 + 0xbfd993716141bdfe, 0xbfed556f52e93eb1, // -0.39962, -0.91668 + 0xbfd97c6583890fc2, 0xbfed5a72a6221e73, // -0.39822, -0.91729 + 0xbfd96555b7ab948f, 0xbfed5f7172888a7f, // -0.39681, -0.9179 + 0xbfd94e420137bce3, 0xbfed646bb7574de5, // -0.3954, -0.91851 + 0xbfd9372a63bc93d7, 0xbfed696173c9e68b, // -0.39399, -0.91911 + 0xbfd9200ee2c9be97, 0xbfed6e52a71c8547, // -0.39258, -0.91972 + 0xbfd908ef81ef7bd1, 0xbfed733f508c0dff, // -0.39117, -0.92032 + 0xbfd8f1cc44bea329, 0xbfed78276f5617c6, // -0.38976, -0.92092 + 0xbfd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // -0.38835, -0.92151 + 0xbfd8c37a439f884f, 0xbfed81ea09f38b63, // -0.38693, -0.92211 + 0xbfd8ac4b86d5ed44, 0xbfed86c48445a450, // -0.38552, -0.9227 + 0xbfd89518fbff098e, 0xbfed8b9a70ef9cb4, // -0.3841, -0.92329 + 0xbfd87de2a6aea963, 0xbfed906bcf328d46, // -0.38268, -0.92388 + 0xbfd866a88a792ea0, 0xbfed95389e50429b, // -0.38127, -0.92447 + 0xbfd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // -0.37985, -0.92505 + 0xbfd838290bb359c8, 0xbfed9ec48c26b1f3, // -0.37843, -0.92563 + 0xbfd820e3b04eaac4, 0xbfeda383a9668988, // -0.37701, -0.92621 + 0xbfd8099a9c5c362d, 0xbfeda83e348f613b, // -0.37559, -0.92679 + 0xbfd7f24dd37341e3, 0xbfedacf42ce68ab9, // -0.37416, -0.92736 + 0xbfd7dafd592ba621, 0xbfedb1a591b20c38, // -0.37274, -0.92794 + 0xbfd7c3a9311dcce7, 0xbfedb6526238a09b, // -0.37132, -0.92851 + 0xbfd7ac515ee2b172, 0xbfedbafa9dc1b78d, // -0.36989, -0.92907 + 0xbfd794f5e613dfae, 0xbfedbf9e4395759a, // -0.36847, -0.92964 + 0xbfd77d96ca4b73a6, 0xbfedc43d52fcb453, // -0.36704, -0.93021 + 0xbfd766340f2418f6, 0xbfedc8d7cb410260, // -0.36561, -0.93077 + 0xbfd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // -0.36418, -0.93133 + 0xbfd73763c9261092, 0xbfedd1fef38a915a, // -0.36276, -0.93188 + 0xbfd71ff6458782ec, 0xbfedd68ba2267a25, // -0.36133, -0.93244 + 0xbfd7088530fa459e, 0xbfeddb13b6ccc23d, // -0.3599, -0.93299 + 0xbfd6f1108f1bc9c5, 0xbfeddf9730ca837b, // -0.35846, -0.93354 + 0xbfd6d998638a0cb5, 0xbfede4160f6d8d81, // -0.35703, -0.93409 + 0xbfd6c21cb1e39771, 0xbfede890520465ce, // -0.3556, -0.93464 + 0xbfd6aa9d7dc77e16, 0xbfeded05f7de47da, // -0.35416, -0.93518 + 0xbfd6931acad55f51, 0xbfedf177004b2534, // -0.35273, -0.93573 + 0xbfd67b949cad63ca, 0xbfedf5e36a9ba59c, // -0.35129, -0.93627 + 0xbfd6640af6f03d9e, 0xbfedfa4b3621271d, // -0.34986, -0.9368 + 0xbfd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // -0.34842, -0.93734 + 0xbfd634ed533be58e, 0xbfee030cee1435b8, // -0.34698, -0.93787 + 0xbfd61d595c88c203, 0xbfee0766d9280f54, // -0.34554, -0.9384 + 0xbfd605c1fcc88f63, 0xbfee0bbc22bd8349, // -0.3441, -0.93893 + 0xbfd5ee27379ea693, 0xbfee100cca2980ac, // -0.34266, -0.93946 + 0xbfd5d68910aee686, 0xbfee1458cec1ad83, // -0.34122, -0.93998 + 0xbfd5bee78b9db3b6, 0xbfee18a02fdc66d9, // -0.33978, -0.94051 + 0xbfd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // -0.33833, -0.94103 + 0xbfd58f9a75ab1fdd, 0xbfee212104f686e5, // -0.33689, -0.94154 + 0xbfd577eeec151e47, 0xbfee255a77a63bb8, // -0.33545, -0.94206 + 0xbfd5604012f467b4, 0xbfee298f4439197a, // -0.334, -0.94257 + 0xbfd5488dedeff3be, 0xbfee2dbf6a0911d9, // -0.33255, -0.94308 + 0xbfd530d880af3c24, 0xbfee31eae870ce25, // -0.33111, -0.94359 + 0xbfd5191fceda3c35, 0xbfee3611becbaf69, // -0.32966, -0.9441 + 0xbfd50163dc197047, 0xbfee3a33ec75ce85, // -0.32821, -0.9446 + 0xbfd4e9a4ac15d520, 0xbfee3e5170cbfc46, // -0.32676, -0.94511 + 0xbfd4d1e24278e76a, 0xbfee426a4b2bc17e, // -0.32531, -0.94561 + 0xbfd4ba1ca2eca31c, 0xbfee467e7af35f23, // -0.32386, -0.94611 + 0xbfd4a253d11b82f3, 0xbfee4a8dff81ce5e, // -0.32241, -0.9466 + 0xbfd48a87d0b07fd7, 0xbfee4e98d836c0af, // -0.32096, -0.94709 + 0xbfd472b8a5571054, 0xbfee529f04729ffc, // -0.3195, -0.94759 + 0xbfd45ae652bb2800, 0xbfee56a083968eb1, // -0.31805, -0.94807 + 0xbfd44310dc8936f0, 0xbfee5a9d550467d3, // -0.31659, -0.94856 + 0xbfd42b38466e2928, 0xbfee5e95781ebf1c, // -0.31514, -0.94905 + 0xbfd4135c94176602, 0xbfee6288ec48e112, // -0.31368, -0.94953 + 0xbfd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // -0.31222, -0.95001 + 0xbfd3e39be96ec271, 0xbfee6a61c55d53a7, // -0.31077, -0.95049 + 0xbfd3cbb6f87a146e, 0xbfee6e472911da27, // -0.30931, -0.95096 + 0xbfd3b3cefa0414b7, 0xbfee7227db6a9744, // -0.30785, -0.95144 + 0xbfd39be3f1bc8aef, 0xbfee7603dbce74e9, // -0.30639, -0.95191 + 0xbfd383f5e353b6aa, 0xbfee79db29a5165a, // -0.30493, -0.95238 + 0xbfd36c04d27a4edf, 0xbfee7dadc456d850, // -0.30347, -0.95284 + 0xbfd35410c2e18152, 0xbfee817bab4cd10d, // -0.30201, -0.95331 + 0xbfd33c19b83af207, 0xbfee8544ddf0d075, // -0.30054, -0.95377 + 0xbfd3241fb638baaf, 0xbfee89095bad6025, // -0.29908, -0.95423 + 0xbfd30c22c08d6a13, 0xbfee8cc923edc388, // -0.29762, -0.95469 + 0xbfd2f422daec0386, 0xbfee9084361df7f3, // -0.29615, -0.95514 + 0xbfd2dc200907fe51, 0xbfee943a91aab4b4, // -0.29469, -0.95559 + 0xbfd2c41a4e954520, 0xbfee97ec36016b30, // -0.29322, -0.95605 + 0xbfd2ac11af483572, 0xbfee9b99229046f8, // -0.29175, -0.95649 + 0xbfd294062ed59f05, 0xbfee9f4156c62dda, // -0.29028, -0.95694 + 0xbfd27bf7d0f2c346, 0xbfeea2e4d212c000, // -0.28882, -0.95738 + 0xbfd263e6995554ba, 0xbfeea68393e65800, // -0.28735, -0.95783 + 0xbfd24bd28bb37672, 0xbfeeaa1d9bb20af3, // -0.28588, -0.95827 + 0xbfd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // -0.28441, -0.9587 + 0xbfd21ba1fd3d2623, 0xbfeeb1437af9bb34, // -0.28294, -0.95914 + 0xbfd2038583d727bd, 0xbfeeb4cf515b8811, // -0.28146, -0.95957 + 0xbfd1eb6643499fbb, 0xbfeeb8566b810f2a, // -0.27999, -0.96 + 0xbfd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // -0.27852, -0.96043 + 0xbfd1bb1f7b999480, 0xbfeebf5668eaf2ef, // -0.27705, -0.96086 + 0xbfd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // -0.27557, -0.96128 + 0xbfd18acdc3f4873a, 0xbfeec6436ee60309, // -0.2741, -0.9617 + 0xbfd172a0d7765177, 0xbfeec9b2d3c3bf84, // -0.27262, -0.96212 + 0xbfd15a713a28b9d9, 0xbfeecd1d792c8f10, // -0.27115, -0.96254 + 0xbfd1423eefc69378, 0xbfeed0835e999009, // -0.26967, -0.96295 + 0xbfd12a09fc0b1b12, 0xbfeed3e483849c51, // -0.26819, -0.96337 + 0xbfd111d262b1f677, 0xbfeed740e7684963, // -0.26671, -0.96378 + 0xbfd0f998277733f7, 0xbfeeda9889bfe86a, // -0.26523, -0.96418 + 0xbfd0e15b4e1749cd, 0xbfeeddeb6a078651, // -0.26375, -0.96459 + 0xbfd0c91bda4f158d, 0xbfeee13987bbebdc, // -0.26227, -0.96499 + 0xbfd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // -0.26079, -0.96539 + 0xbfd09895327b465e, 0xbfeee7c77961dc9e, // -0.25931, -0.96579 + 0xbfd0804e05eb661e, 0xbfeeeb074c50a544, // -0.25783, -0.96619 + 0xbfd068044deab002, 0xbfeeee425aa6b09a, // -0.25635, -0.96658 + 0xbfd04fb80e37fdae, 0xbfeef178a3e473c2, // -0.25487, -0.96698 + 0xbfd037694a928cac, 0xbfeef4aa278b2032, // -0.25338, -0.96737 + 0xbfd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // -0.2519, -0.96775 + 0xbfd006c4466e54af, 0xbfeefafedc1ba8b7, // -0.25041, -0.96814 + 0xbfcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // -0.24893, -0.96852 + 0xbfcfac2abeff57ff, 0xbfef014074708ed3, // -0.24744, -0.9689 + 0xbfcf7b7480bd3801, 0xbfef045a14cf738c, // -0.24596, -0.96928 + 0xbfcf4ab9679c9f5c, 0xbfef076eecade0fa, // -0.24447, -0.96966 + 0xbfcf19f97b215f1a, 0xbfef0a7efb9230d7, // -0.24298, -0.97003 + 0xbfcee934c2d006c7, 0xbfef0d8a410379c5, // -0.24149, -0.9704 + 0xbfceb86b462de348, 0xbfef1090bc898f5f, // -0.24, -0.97077 + 0xbfce879d0cc0fdaf, 0xbfef13926dad024e, // -0.23851, -0.97114 + 0xbfce56ca1e101a1b, 0xbfef168f53f7205d, // -0.23702, -0.9715 + 0xbfce25f281a2b684, 0xbfef19876ef1f486, // -0.23553, -0.97187 + 0xbfcdf5163f01099a, 0xbfef1c7abe284708, // -0.23404, -0.97223 + 0xbfcdc4355db40195, 0xbfef1f6941259d7a, // -0.23255, -0.97258 + 0xbfcd934fe5454311, 0xbfef2252f7763ada, // -0.23106, -0.97294 + 0xbfcd6265dd3f27e3, 0xbfef2537e0a71f9f, // -0.22957, -0.97329 + 0xbfcd31774d2cbdee, 0xbfef2817fc4609ce, // -0.22807, -0.97364 + 0xbfcd00843c99c5f9, 0xbfef2af349e17507, // -0.22658, -0.97399 + 0xbfcccf8cb312b286, 0xbfef2dc9c9089a9d, // -0.22508, -0.97434 + 0xbfcc9e90b824a6a9, 0xbfef309b794b719f, // -0.22359, -0.97468 + 0xbfcc6d90535d74dc, 0xbfef33685a3aaef0, // -0.22209, -0.97503 + 0xbfcc3c8b8c4b9dd7, 0xbfef36306b67c556, // -0.2206, -0.97536 + 0xbfcc0b826a7e4f63, 0xbfef38f3ac64e589, // -0.2191, -0.9757 + 0xbfcbda74f5856330, 0xbfef3bb21cc4fe47, // -0.2176, -0.97604 + 0xbfcba96334f15dad, 0xbfef3e6bbc1bbc65, // -0.21611, -0.97637 + 0xbfcb784d30536cda, 0xbfef412089fd8adc, // -0.21461, -0.9767 + 0xbfcb4732ef3d6722, 0xbfef43d085ff92dd, // -0.21311, -0.97703 + 0xbfcb16147941ca2a, 0xbfef467bafb7bbe0, // -0.21161, -0.97735 + 0xbfcae4f1d5f3b9ab, 0xbfef492206bcabb4, // -0.21011, -0.97768 + 0xbfcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // -0.20861, -0.978 + 0xbfca82a025b00451, 0xbfef4e603b0b2f2d, // -0.20711, -0.97832 + 0xbfca517127e3dabc, 0xbfef50f81785c6b9, // -0.20561, -0.97863 + 0xbfca203e1b1831da, 0xbfef538b1faf2d07, // -0.20411, -0.97895 + 0xbfc9ef0706e35a35, 0xbfef56195321c090, // -0.20261, -0.97926 + 0xbfc9bdcbf2dc4366, 0xbfef58a2b1789e84, // -0.2011, -0.97957 + 0xbfc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // -0.1996, -0.97988 + 0xbfc95b49e9b62af9, 0xbfef5da6ed43685d, // -0.1981, -0.98018 + 0xbfc92a0303c8194f, 0xbfef6021c9f148c2, // -0.19659, -0.98048 + 0xbfc8f8b83c69a60a, 0xbfef6297cff75cb0, // -0.19509, -0.98079 + 0xbfc8c7699b34ca7e, 0xbfef6508fef47bd5, // -0.19359, -0.98108 + 0xbfc8961727c41804, 0xbfef677556883cee, // -0.19208, -0.98138 + 0xbfc864c0e9b2b6cf, 0xbfef69dcd652f5de, // -0.19057, -0.98167 + 0xbfc83366e89c64c5, 0xbfef6c3f7df5bbb7, // -0.18907, -0.98196 + 0xbfc802092c1d744b, 0xbfef6e9d4d1262ca, // -0.18756, -0.98225 + 0xbfc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // -0.18606, -0.98254 + 0xbfc79f429f59e11d, 0xbfef734a60446279, // -0.18455, -0.98282 + 0xbfc76dd9de50bf31, 0xbfef7599a3a12077, // -0.18304, -0.98311 + 0xbfc73c6d8055fe0a, 0xbfef77e40d068a90, // -0.18153, -0.98339 + 0xbfc70afd8d08c4ff, 0xbfef7a299c1a322a, // -0.18002, -0.98366 + 0xbfc6d98a0c08c8da, 0xbfef7c6a50826840, // -0.17851, -0.98394 + 0xbfc6a81304f64ab2, 0xbfef7ea629e63d6e, // -0.177, -0.98421 + 0xbfc676987f7216b8, 0xbfef80dd27ed8204, // -0.17549, -0.98448 + 0xbfc6451a831d830d, 0xbfef830f4a40c60c, // -0.17398, -0.98475 + 0xbfc61399179a6e94, 0xbfef853c9089595e, // -0.17247, -0.98501 + 0xbfc5e214448b3fc6, 0xbfef8764fa714ba9, // -0.17096, -0.98528 + 0xbfc5b08c1192e381, 0xbfef898887a36c84, // -0.16945, -0.98554 + 0xbfc57f008654cbde, 0xbfef8ba737cb4b78, // -0.16794, -0.9858 + 0xbfc54d71aa74ef02, 0xbfef8dc10a95380d, // -0.16643, -0.98605 + 0xbfc51bdf8597c5f2, 0xbfef8fd5ffae41db, // -0.16491, -0.98631 + 0xbfc4ea4a1f624b61, 0xbfef91e616c43891, // -0.1634, -0.98656 + 0xbfc4b8b17f79fa88, 0xbfef93f14f85ac08, // -0.16189, -0.98681 + 0xbfc48715ad84cdf5, 0xbfef95f7a9a1ec47, // -0.16037, -0.98706 + 0xbfc45576b1293e5a, 0xbfef97f924c9099b, // -0.15886, -0.9873 + 0xbfc423d4920e4166, 0xbfef99f5c0abd496, // -0.15734, -0.98754 + 0xbfc3f22f57db4893, 0xbfef9bed7cfbde29, // -0.15583, -0.98778 + 0xbfc3c0870a383ff6, 0xbfef9de0596b77a3, // -0.15431, -0.98802 + 0xbfc38edbb0cd8d14, 0xbfef9fce55adb2c8, // -0.1528, -0.98826 + 0xbfc35d2d53440db2, 0xbfefa1b7717661d5, // -0.15128, -0.98849 + 0xbfc32b7bf94516a7, 0xbfefa39bac7a1791, // -0.14976, -0.98872 + 0xbfc2f9c7aa7a72af, 0xbfefa57b066e2754, // -0.14825, -0.98895 + 0xbfc2c8106e8e613a, 0xbfefa7557f08a517, // -0.14673, -0.98918 + 0xbfc296564d2b953e, 0xbfefa92b1600657c, // -0.14521, -0.9894 + 0xbfc264994dfd340a, 0xbfefaafbcb0cfddc, // -0.1437, -0.98962 + 0xbfc232d978aed413, 0xbfefacc79de6c44f, // -0.14218, -0.98984 + 0xbfc20116d4ec7bce, 0xbfefae8e8e46cfbb, // -0.14066, -0.99006 + 0xbfc1cf516a62a077, 0xbfefb0509be6f7db, // -0.13914, -0.99027 + 0xbfc19d8940be24e7, 0xbfefb20dc681d54d, // -0.13762, -0.99049 + 0xbfc16bbe5fac5865, 0xbfefb3c60dd2c199, // -0.1361, -0.9907 + 0xbfc139f0cedaf576, 0xbfefb5797195d741, // -0.13458, -0.9909 + 0xbfc1082095f820b0, 0xbfefb727f187f1c7, // -0.13306, -0.99111 + 0xbfc0d64dbcb26786, 0xbfefb8d18d66adb7, // -0.13154, -0.99131 + 0xbfc0a4784ab8bf1d, 0xbfefba7644f068b5, // -0.13002, -0.99151 + 0xbfc072a047ba831d, 0xbfefbc1617e44186, // -0.1285, -0.99171 + 0xbfc040c5bb67747e, 0xbfefbdb106021816, // -0.12698, -0.99191 + 0xbfc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // -0.12545, -0.9921 + 0xbfbfba124b07ad85, 0xbfefc0d832bf043a, // -0.12393, -0.99229 + 0xbfbf564e56a9730e, 0xbfefc26470e19fd3, // -0.12241, -0.99248 + 0xbfbef2858d27561b, 0xbfefc3ebc935454c, // -0.12089, -0.99267 + 0xbfbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // -0.11937, -0.99285 + 0xbfbe2ae5b8457f77, 0xbfefc6ebc77f0887, // -0.11784, -0.99303 + 0xbfbdc70ecbae9fc8, 0xbfefc8646cfeb721, // -0.11632, -0.99321 + 0xbfbd633347858ce4, 0xbfefc9d82bc2915e, // -0.11479, -0.99339 + 0xbfbcff533b307dc1, 0xbfefcb4703914354, // -0.11327, -0.99356 + 0xbfbc9b6eb6165c42, 0xbfefccb0f4323aa3, // -0.11175, -0.99374 + 0xbfbc3785c79ec2d5, 0xbfefce15fd6da67b, // -0.11022, -0.99391 + 0xbfbbd3987f31fa0e, 0xbfefcf761f0c77a3, // -0.1087, -0.99407 + 0xbfbb6fa6ec38f64c, 0xbfefd0d158d86087, // -0.10717, -0.99424 + 0xbfbb0bb11e1d5559, 0xbfefd227aa9bd53b, // -0.10565, -0.9944 + 0xbfbaa7b724495c04, 0xbfefd37914220b84, // -0.10412, -0.99456 + 0xbfba43b90e27f3c4, 0xbfefd4c59536fae4, // -0.1026, -0.99472 + 0xbfb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // -0.10107, -0.99488 + 0xbfb97bb0caaba56f, 0xbfefd74fdd40abbf, // -0.099544, -0.99503 + 0xbfb917a6bc29b42c, 0xbfefd88da3d12526, // -0.098017, -0.99518 + 0xbfb8b398cf0c38e0, 0xbfefd9c68127c78c, // -0.09649, -0.99533 + 0xbfb84f8712c130a0, 0xbfefdafa7514538c, // -0.094963, -0.99548 + 0xbfb7eb7196b72ee4, 0xbfefdc297f674ba9, // -0.093436, -0.99563 + 0xbfb787586a5d5b21, 0xbfefdd539ff1f456, // -0.091909, -0.99577 + 0xbfb7233b9d236e71, 0xbfefde78d68653fd, // -0.090381, -0.99591 + 0xbfb6bf1b3e79b129, 0xbfefdf9922f73307, // -0.088854, -0.99604 + 0xbfb65af75dd0f87b, 0xbfefe0b485181be3, // -0.087326, -0.99618 + 0xbfb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // -0.085797, -0.99631 + 0xbfb592a554489bc8, 0xbfefe2dc89bbff08, // -0.084269, -0.99644 + 0xbfb52e774a4d4d0a, 0xbfefe3e92be9d886, // -0.08274, -0.99657 + 0xbfb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // -0.081211, -0.9967 + 0xbfb4661179272096, 0xbfefe5f3af2e3940, // -0.079682, -0.99682 + 0xbfb401d9d0e3a507, 0xbfefe6f18ff42c84, // -0.078153, -0.99694 + 0xbfb39d9f12c5a299, 0xbfefe7ea85482d60, // -0.076624, -0.99706 + 0xbfb339614e41ffa5, 0xbfefe8de8f03d75c, // -0.075094, -0.99718 + 0xbfb2d52092ce19f6, 0xbfefe9cdad01883a, // -0.073565, -0.99729 + 0xbfb270dcefdfc45b, 0xbfefeab7df1c6005, // -0.072035, -0.9974 + 0xbfb20c9674ed444c, 0xbfefeb9d2530410f, // -0.070505, -0.99751 + 0xbfb1a84d316d4f8a, 0xbfefec7d7f19cffc, // -0.068974, -0.99762 + 0xbfb1440134d709b2, 0xbfefed58ecb673c4, // -0.067444, -0.99772 + 0xbfb0dfb28ea201e6, 0xbfefee2f6de455ba, // -0.065913, -0.99783 + 0xbfb07b614e463064, 0xbfefef0102826191, // -0.064383, -0.99793 + 0xbfb0170d833bf421, 0xbfefefcdaa704562, // -0.062852, -0.99802 + 0xbfaf656e79f820e0, 0xbfeff095658e71ad, // -0.061321, -0.99812 + 0xbfae9cbd15ff5527, 0xbfeff15833be1965, // -0.05979, -0.99821 + 0xbfadd406f9808ec8, 0xbfeff21614e131ed, // -0.058258, -0.9983 + 0xbfad0b4c436f91d0, 0xbfeff2cf08da7321, // -0.056727, -0.99839 + 0xbfac428d12c0d7e3, 0xbfeff3830f8d575c, // -0.055195, -0.99848 + 0xbfab79c986698b78, 0xbfeff43228de1b77, // -0.053664, -0.99856 + 0xbfaab101bd5f8317, 0xbfeff4dc54b1bed3, // -0.052132, -0.99864 + 0xbfa9e835d6993c87, 0xbfeff58192ee0358, // -0.0506, -0.99872 + 0xbfa91f65f10dd814, 0xbfeff621e3796d7e, // -0.049068, -0.9988 + 0xbfa856922bb513c1, 0xbfeff6bd463b444d, // -0.047535, -0.99887 + 0xbfa78dbaa5874685, 0xbfeff753bb1b9164, // -0.046003, -0.99894 + 0xbfa6c4df7d7d5b84, 0xbfeff7e5420320f9, // -0.044471, -0.99901 + 0xbfa5fc00d290cd43, 0xbfeff871dadb81df, // -0.042938, -0.99908 + 0xbfa5331ec3bba0eb, 0xbfeff8f9858f058b, // -0.041406, -0.99914 + 0xbfa46a396ff86179, 0xbfeff97c4208c014, // -0.039873, -0.9992 + 0xbfa3a150f6421afc, 0xbfeff9fa10348837, // -0.03834, -0.99926 + 0xbfa2d865759455cd, 0xbfeffa72effef75d, // -0.036807, -0.99932 + 0xbfa20f770ceb11c6, 0xbfeffae6e1556998, // -0.035274, -0.99938 + 0xbfa14685db42c17e, 0xbfeffb55e425fdae, // -0.033741, -0.99943 + 0xbfa07d91ff984580, 0xbfeffbbff85f9515, // -0.032208, -0.99948 + 0xbf9f693731d1cf01, 0xbfeffc251df1d3f8, // -0.030675, -0.99953 + 0xbf9dd7458c64ab39, 0xbfeffc8554cd213a, // -0.029142, -0.99958 + 0xbf9c454f4ce53b1c, 0xbfeffce09ce2a679, // -0.027608, -0.99962 + 0xbf9ab354b1504fca, 0xbfeffd36f624500c, // -0.026075, -0.99966 + 0xbf992155f7a3667e, 0xbfeffd886084cd0d, // -0.024541, -0.9997 + 0xbf978f535ddc9f03, 0xbfeffdd4dbf78f52, // -0.023008, -0.99974 + 0xbf95fd4d21fab226, 0xbfeffe1c6870cb77, // -0.021474, -0.99977 + 0xbf946b4381fce81c, 0xbfeffe5f05e578db, // -0.01994, -0.9998 + 0xbf92d936bbe30efd, 0xbfeffe9cb44b51a1, // -0.018407, -0.99983 + 0xbf9147270dad7132, 0xbfeffed57398d2b7, // -0.016873, -0.99986 + 0xbf8f6a296ab997ca, 0xbfefff0943c53bd1, // -0.015339, -0.99988 + 0xbf8c45ffe1e48ad9, 0xbfefff3824c88f6f, // -0.013805, -0.9999 + 0xbf8921d1fcdec784, 0xbfefff62169b92db, // -0.012272, -0.99992 + 0xbf85fda037ac05e0, 0xbfefff871937ce2f, // -0.010738, -0.99994 + 0xbf82d96b0e509703, 0xbfefffa72c978c4f, //-0.0092038, -0.99996 + 0xbf7f6a65f9a2a3c5, 0xbfefffc250b5daef, //-0.0076698, -0.99997 + 0xbf7921f0fe670071, 0xbfefffd8858e8a92, //-0.0061359, -0.99998 + 0xbf72d97822f996bc, 0xbfefffe9cb1e2e8d, //-0.0046019, -0.99999 + 0xbf6921f8becca4ba, 0xbfeffff621621d02, // -0.003068, -1 + 0xbf5921faaee6472d, 0xbfeffffd88586ee6, // -0.001534, -1 + 0x0000000000000000, 0xbff0000000000000, // 0, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, // 0.0046019, -0.99999 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, // 0.0061359, -0.99998 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, // 0.0076698, -0.99997 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, // 0.0092038, -0.99996 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + + +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @brief Floating-point Twiddle factors Table Generation +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_16[32] = { + 1.000000000f, 0.000000000f, + 0.923879533f, 0.382683432f, + 0.707106781f, 0.707106781f, + 0.382683432f, 0.923879533f, + 0.000000000f, 1.000000000f, + -0.382683432f, 0.923879533f, + -0.707106781f, 0.707106781f, + -0.923879533f, 0.382683432f, + -1.000000000f, 0.000000000f, + -0.923879533f, -0.382683432f, + -0.707106781f, -0.707106781f, + -0.382683432f, -0.923879533f, + -0.000000000f, -1.000000000f, + 0.382683432f, -0.923879533f, + 0.707106781f, -0.707106781f, + 0.923879533f, -0.382683432f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_32[64] = { + 1.000000000f, 0.000000000f, + 0.980785280f, 0.195090322f, + 0.923879533f, 0.382683432f, + 0.831469612f, 0.555570233f, + 0.707106781f, 0.707106781f, + 0.555570233f, 0.831469612f, + 0.382683432f, 0.923879533f, + 0.195090322f, 0.980785280f, + 0.000000000f, 1.000000000f, + -0.195090322f, 0.980785280f, + -0.382683432f, 0.923879533f, + -0.555570233f, 0.831469612f, + -0.707106781f, 0.707106781f, + -0.831469612f, 0.555570233f, + -0.923879533f, 0.382683432f, + -0.980785280f, 0.195090322f, + -1.000000000f, 0.000000000f, + -0.980785280f, -0.195090322f, + -0.923879533f, -0.382683432f, + -0.831469612f, -0.555570233f, + -0.707106781f, -0.707106781f, + -0.555570233f, -0.831469612f, + -0.382683432f, -0.923879533f, + -0.195090322f, -0.980785280f, + -0.000000000f, -1.000000000f, + 0.195090322f, -0.980785280f, + 0.382683432f, -0.923879533f, + 0.555570233f, -0.831469612f, + 0.707106781f, -0.707106781f, + 0.831469612f, -0.555570233f, + 0.923879533f, -0.382683432f, + 0.980785280f, -0.195090322f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_64[128] = { + 1.000000000f, 0.000000000f, + 0.995184727f, 0.098017140f, + 0.980785280f, 0.195090322f, + 0.956940336f, 0.290284677f, + 0.923879533f, 0.382683432f, + 0.881921264f, 0.471396737f, + 0.831469612f, 0.555570233f, + 0.773010453f, 0.634393284f, + 0.707106781f, 0.707106781f, + 0.634393284f, 0.773010453f, + 0.555570233f, 0.831469612f, + 0.471396737f, 0.881921264f, + 0.382683432f, 0.923879533f, + 0.290284677f, 0.956940336f, + 0.195090322f, 0.980785280f, + 0.098017140f, 0.995184727f, + 0.000000000f, 1.000000000f, + -0.098017140f, 0.995184727f, + -0.195090322f, 0.980785280f, + -0.290284677f, 0.956940336f, + -0.382683432f, 0.923879533f, + -0.471396737f, 0.881921264f, + -0.555570233f, 0.831469612f, + -0.634393284f, 0.773010453f, + -0.707106781f, 0.707106781f, + -0.773010453f, 0.634393284f, + -0.831469612f, 0.555570233f, + -0.881921264f, 0.471396737f, + -0.923879533f, 0.382683432f, + -0.956940336f, 0.290284677f, + -0.980785280f, 0.195090322f, + -0.995184727f, 0.098017140f, + -1.000000000f, 0.000000000f, + -0.995184727f, -0.098017140f, + -0.980785280f, -0.195090322f, + -0.956940336f, -0.290284677f, + -0.923879533f, -0.382683432f, + -0.881921264f, -0.471396737f, + -0.831469612f, -0.555570233f, + -0.773010453f, -0.634393284f, + -0.707106781f, -0.707106781f, + -0.634393284f, -0.773010453f, + -0.555570233f, -0.831469612f, + -0.471396737f, -0.881921264f, + -0.382683432f, -0.923879533f, + -0.290284677f, -0.956940336f, + -0.195090322f, -0.980785280f, + -0.098017140f, -0.995184727f, + -0.000000000f, -1.000000000f, + 0.098017140f, -0.995184727f, + 0.195090322f, -0.980785280f, + 0.290284677f, -0.956940336f, + 0.382683432f, -0.923879533f, + 0.471396737f, -0.881921264f, + 0.555570233f, -0.831469612f, + 0.634393284f, -0.773010453f, + 0.707106781f, -0.707106781f, + 0.773010453f, -0.634393284f, + 0.831469612f, -0.555570233f, + 0.881921264f, -0.471396737f, + 0.923879533f, -0.382683432f, + 0.956940336f, -0.290284677f, + 0.980785280f, -0.195090322f, + 0.995184727f, -0.098017140f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_128[256] = { + 1.000000000f, 0.000000000f, + 0.998795456f, 0.049067674f, + 0.995184727f, 0.098017140f, + 0.989176510f, 0.146730474f, + 0.980785280f, 0.195090322f, + 0.970031253f, 0.242980180f, + 0.956940336f, 0.290284677f, + 0.941544065f, 0.336889853f, + 0.923879533f, 0.382683432f, + 0.903989293f, 0.427555093f, + 0.881921264f, 0.471396737f, + 0.857728610f, 0.514102744f, + 0.831469612f, 0.555570233f, + 0.803207531f, 0.595699304f, + 0.773010453f, 0.634393284f, + 0.740951125f, 0.671558955f, + 0.707106781f, 0.707106781f, + 0.671558955f, 0.740951125f, + 0.634393284f, 0.773010453f, + 0.595699304f, 0.803207531f, + 0.555570233f, 0.831469612f, + 0.514102744f, 0.857728610f, + 0.471396737f, 0.881921264f, + 0.427555093f, 0.903989293f, + 0.382683432f, 0.923879533f, + 0.336889853f, 0.941544065f, + 0.290284677f, 0.956940336f, + 0.242980180f, 0.970031253f, + 0.195090322f, 0.980785280f, + 0.146730474f, 0.989176510f, + 0.098017140f, 0.995184727f, + 0.049067674f, 0.998795456f, + 0.000000000f, 1.000000000f, + -0.049067674f, 0.998795456f, + -0.098017140f, 0.995184727f, + -0.146730474f, 0.989176510f, + -0.195090322f, 0.980785280f, + -0.242980180f, 0.970031253f, + -0.290284677f, 0.956940336f, + -0.336889853f, 0.941544065f, + -0.382683432f, 0.923879533f, + -0.427555093f, 0.903989293f, + -0.471396737f, 0.881921264f, + -0.514102744f, 0.857728610f, + -0.555570233f, 0.831469612f, + -0.595699304f, 0.803207531f, + -0.634393284f, 0.773010453f, + -0.671558955f, 0.740951125f, + -0.707106781f, 0.707106781f, + -0.740951125f, 0.671558955f, + -0.773010453f, 0.634393284f, + -0.803207531f, 0.595699304f, + -0.831469612f, 0.555570233f, + -0.857728610f, 0.514102744f, + -0.881921264f, 0.471396737f, + -0.903989293f, 0.427555093f, + -0.923879533f, 0.382683432f, + -0.941544065f, 0.336889853f, + -0.956940336f, 0.290284677f, + -0.970031253f, 0.242980180f, + -0.980785280f, 0.195090322f, + -0.989176510f, 0.146730474f, + -0.995184727f, 0.098017140f, + -0.998795456f, 0.049067674f, + -1.000000000f, 0.000000000f, + -0.998795456f, -0.049067674f, + -0.995184727f, -0.098017140f, + -0.989176510f, -0.146730474f, + -0.980785280f, -0.195090322f, + -0.970031253f, -0.242980180f, + -0.956940336f, -0.290284677f, + -0.941544065f, -0.336889853f, + -0.923879533f, -0.382683432f, + -0.903989293f, -0.427555093f, + -0.881921264f, -0.471396737f, + -0.857728610f, -0.514102744f, + -0.831469612f, -0.555570233f, + -0.803207531f, -0.595699304f, + -0.773010453f, -0.634393284f, + -0.740951125f, -0.671558955f, + -0.707106781f, -0.707106781f, + -0.671558955f, -0.740951125f, + -0.634393284f, -0.773010453f, + -0.595699304f, -0.803207531f, + -0.555570233f, -0.831469612f, + -0.514102744f, -0.857728610f, + -0.471396737f, -0.881921264f, + -0.427555093f, -0.903989293f, + -0.382683432f, -0.923879533f, + -0.336889853f, -0.941544065f, + -0.290284677f, -0.956940336f, + -0.242980180f, -0.970031253f, + -0.195090322f, -0.980785280f, + -0.146730474f, -0.989176510f, + -0.098017140f, -0.995184727f, + -0.049067674f, -0.998795456f, + -0.000000000f, -1.000000000f, + 0.049067674f, -0.998795456f, + 0.098017140f, -0.995184727f, + 0.146730474f, -0.989176510f, + 0.195090322f, -0.980785280f, + 0.242980180f, -0.970031253f, + 0.290284677f, -0.956940336f, + 0.336889853f, -0.941544065f, + 0.382683432f, -0.923879533f, + 0.427555093f, -0.903989293f, + 0.471396737f, -0.881921264f, + 0.514102744f, -0.857728610f, + 0.555570233f, -0.831469612f, + 0.595699304f, -0.803207531f, + 0.634393284f, -0.773010453f, + 0.671558955f, -0.740951125f, + 0.707106781f, -0.707106781f, + 0.740951125f, -0.671558955f, + 0.773010453f, -0.634393284f, + 0.803207531f, -0.595699304f, + 0.831469612f, -0.555570233f, + 0.857728610f, -0.514102744f, + 0.881921264f, -0.471396737f, + 0.903989293f, -0.427555093f, + 0.923879533f, -0.382683432f, + 0.941544065f, -0.336889853f, + 0.956940336f, -0.290284677f, + 0.970031253f, -0.242980180f, + 0.980785280f, -0.195090322f, + 0.989176510f, -0.146730474f, + 0.995184727f, -0.098017140f, + 0.998795456f, -0.049067674f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_256[512] = { + 1.000000000f, 0.000000000f, + 0.999698819f, 0.024541229f, + 0.998795456f, 0.049067674f, + 0.997290457f, 0.073564564f, + 0.995184727f, 0.098017140f, + 0.992479535f, 0.122410675f, + 0.989176510f, 0.146730474f, + 0.985277642f, 0.170961889f, + 0.980785280f, 0.195090322f, + 0.975702130f, 0.219101240f, + 0.970031253f, 0.242980180f, + 0.963776066f, 0.266712757f, + 0.956940336f, 0.290284677f, + 0.949528181f, 0.313681740f, + 0.941544065f, 0.336889853f, + 0.932992799f, 0.359895037f, + 0.923879533f, 0.382683432f, + 0.914209756f, 0.405241314f, + 0.903989293f, 0.427555093f, + 0.893224301f, 0.449611330f, + 0.881921264f, 0.471396737f, + 0.870086991f, 0.492898192f, + 0.857728610f, 0.514102744f, + 0.844853565f, 0.534997620f, + 0.831469612f, 0.555570233f, + 0.817584813f, 0.575808191f, + 0.803207531f, 0.595699304f, + 0.788346428f, 0.615231591f, + 0.773010453f, 0.634393284f, + 0.757208847f, 0.653172843f, + 0.740951125f, 0.671558955f, + 0.724247083f, 0.689540545f, + 0.707106781f, 0.707106781f, + 0.689540545f, 0.724247083f, + 0.671558955f, 0.740951125f, + 0.653172843f, 0.757208847f, + 0.634393284f, 0.773010453f, + 0.615231591f, 0.788346428f, + 0.595699304f, 0.803207531f, + 0.575808191f, 0.817584813f, + 0.555570233f, 0.831469612f, + 0.534997620f, 0.844853565f, + 0.514102744f, 0.857728610f, + 0.492898192f, 0.870086991f, + 0.471396737f, 0.881921264f, + 0.449611330f, 0.893224301f, + 0.427555093f, 0.903989293f, + 0.405241314f, 0.914209756f, + 0.382683432f, 0.923879533f, + 0.359895037f, 0.932992799f, + 0.336889853f, 0.941544065f, + 0.313681740f, 0.949528181f, + 0.290284677f, 0.956940336f, + 0.266712757f, 0.963776066f, + 0.242980180f, 0.970031253f, + 0.219101240f, 0.975702130f, + 0.195090322f, 0.980785280f, + 0.170961889f, 0.985277642f, + 0.146730474f, 0.989176510f, + 0.122410675f, 0.992479535f, + 0.098017140f, 0.995184727f, + 0.073564564f, 0.997290457f, + 0.049067674f, 0.998795456f, + 0.024541229f, 0.999698819f, + 0.000000000f, 1.000000000f, + -0.024541229f, 0.999698819f, + -0.049067674f, 0.998795456f, + -0.073564564f, 0.997290457f, + -0.098017140f, 0.995184727f, + -0.122410675f, 0.992479535f, + -0.146730474f, 0.989176510f, + -0.170961889f, 0.985277642f, + -0.195090322f, 0.980785280f, + -0.219101240f, 0.975702130f, + -0.242980180f, 0.970031253f, + -0.266712757f, 0.963776066f, + -0.290284677f, 0.956940336f, + -0.313681740f, 0.949528181f, + -0.336889853f, 0.941544065f, + -0.359895037f, 0.932992799f, + -0.382683432f, 0.923879533f, + -0.405241314f, 0.914209756f, + -0.427555093f, 0.903989293f, + -0.449611330f, 0.893224301f, + -0.471396737f, 0.881921264f, + -0.492898192f, 0.870086991f, + -0.514102744f, 0.857728610f, + -0.534997620f, 0.844853565f, + -0.555570233f, 0.831469612f, + -0.575808191f, 0.817584813f, + -0.595699304f, 0.803207531f, + -0.615231591f, 0.788346428f, + -0.634393284f, 0.773010453f, + -0.653172843f, 0.757208847f, + -0.671558955f, 0.740951125f, + -0.689540545f, 0.724247083f, + -0.707106781f, 0.707106781f, + -0.724247083f, 0.689540545f, + -0.740951125f, 0.671558955f, + -0.757208847f, 0.653172843f, + -0.773010453f, 0.634393284f, + -0.788346428f, 0.615231591f, + -0.803207531f, 0.595699304f, + -0.817584813f, 0.575808191f, + -0.831469612f, 0.555570233f, + -0.844853565f, 0.534997620f, + -0.857728610f, 0.514102744f, + -0.870086991f, 0.492898192f, + -0.881921264f, 0.471396737f, + -0.893224301f, 0.449611330f, + -0.903989293f, 0.427555093f, + -0.914209756f, 0.405241314f, + -0.923879533f, 0.382683432f, + -0.932992799f, 0.359895037f, + -0.941544065f, 0.336889853f, + -0.949528181f, 0.313681740f, + -0.956940336f, 0.290284677f, + -0.963776066f, 0.266712757f, + -0.970031253f, 0.242980180f, + -0.975702130f, 0.219101240f, + -0.980785280f, 0.195090322f, + -0.985277642f, 0.170961889f, + -0.989176510f, 0.146730474f, + -0.992479535f, 0.122410675f, + -0.995184727f, 0.098017140f, + -0.997290457f, 0.073564564f, + -0.998795456f, 0.049067674f, + -0.999698819f, 0.024541229f, + -1.000000000f, 0.000000000f, + -0.999698819f, -0.024541229f, + -0.998795456f, -0.049067674f, + -0.997290457f, -0.073564564f, + -0.995184727f, -0.098017140f, + -0.992479535f, -0.122410675f, + -0.989176510f, -0.146730474f, + -0.985277642f, -0.170961889f, + -0.980785280f, -0.195090322f, + -0.975702130f, -0.219101240f, + -0.970031253f, -0.242980180f, + -0.963776066f, -0.266712757f, + -0.956940336f, -0.290284677f, + -0.949528181f, -0.313681740f, + -0.941544065f, -0.336889853f, + -0.932992799f, -0.359895037f, + -0.923879533f, -0.382683432f, + -0.914209756f, -0.405241314f, + -0.903989293f, -0.427555093f, + -0.893224301f, -0.449611330f, + -0.881921264f, -0.471396737f, + -0.870086991f, -0.492898192f, + -0.857728610f, -0.514102744f, + -0.844853565f, -0.534997620f, + -0.831469612f, -0.555570233f, + -0.817584813f, -0.575808191f, + -0.803207531f, -0.595699304f, + -0.788346428f, -0.615231591f, + -0.773010453f, -0.634393284f, + -0.757208847f, -0.653172843f, + -0.740951125f, -0.671558955f, + -0.724247083f, -0.689540545f, + -0.707106781f, -0.707106781f, + -0.689540545f, -0.724247083f, + -0.671558955f, -0.740951125f, + -0.653172843f, -0.757208847f, + -0.634393284f, -0.773010453f, + -0.615231591f, -0.788346428f, + -0.595699304f, -0.803207531f, + -0.575808191f, -0.817584813f, + -0.555570233f, -0.831469612f, + -0.534997620f, -0.844853565f, + -0.514102744f, -0.857728610f, + -0.492898192f, -0.870086991f, + -0.471396737f, -0.881921264f, + -0.449611330f, -0.893224301f, + -0.427555093f, -0.903989293f, + -0.405241314f, -0.914209756f, + -0.382683432f, -0.923879533f, + -0.359895037f, -0.932992799f, + -0.336889853f, -0.941544065f, + -0.313681740f, -0.949528181f, + -0.290284677f, -0.956940336f, + -0.266712757f, -0.963776066f, + -0.242980180f, -0.970031253f, + -0.219101240f, -0.975702130f, + -0.195090322f, -0.980785280f, + -0.170961889f, -0.985277642f, + -0.146730474f, -0.989176510f, + -0.122410675f, -0.992479535f, + -0.098017140f, -0.995184727f, + -0.073564564f, -0.997290457f, + -0.049067674f, -0.998795456f, + -0.024541229f, -0.999698819f, + -0.000000000f, -1.000000000f, + 0.024541229f, -0.999698819f, + 0.049067674f, -0.998795456f, + 0.073564564f, -0.997290457f, + 0.098017140f, -0.995184727f, + 0.122410675f, -0.992479535f, + 0.146730474f, -0.989176510f, + 0.170961889f, -0.985277642f, + 0.195090322f, -0.980785280f, + 0.219101240f, -0.975702130f, + 0.242980180f, -0.970031253f, + 0.266712757f, -0.963776066f, + 0.290284677f, -0.956940336f, + 0.313681740f, -0.949528181f, + 0.336889853f, -0.941544065f, + 0.359895037f, -0.932992799f, + 0.382683432f, -0.923879533f, + 0.405241314f, -0.914209756f, + 0.427555093f, -0.903989293f, + 0.449611330f, -0.893224301f, + 0.471396737f, -0.881921264f, + 0.492898192f, -0.870086991f, + 0.514102744f, -0.857728610f, + 0.534997620f, -0.844853565f, + 0.555570233f, -0.831469612f, + 0.575808191f, -0.817584813f, + 0.595699304f, -0.803207531f, + 0.615231591f, -0.788346428f, + 0.634393284f, -0.773010453f, + 0.653172843f, -0.757208847f, + 0.671558955f, -0.740951125f, + 0.689540545f, -0.724247083f, + 0.707106781f, -0.707106781f, + 0.724247083f, -0.689540545f, + 0.740951125f, -0.671558955f, + 0.757208847f, -0.653172843f, + 0.773010453f, -0.634393284f, + 0.788346428f, -0.615231591f, + 0.803207531f, -0.595699304f, + 0.817584813f, -0.575808191f, + 0.831469612f, -0.555570233f, + 0.844853565f, -0.534997620f, + 0.857728610f, -0.514102744f, + 0.870086991f, -0.492898192f, + 0.881921264f, -0.471396737f, + 0.893224301f, -0.449611330f, + 0.903989293f, -0.427555093f, + 0.914209756f, -0.405241314f, + 0.923879533f, -0.382683432f, + 0.932992799f, -0.359895037f, + 0.941544065f, -0.336889853f, + 0.949528181f, -0.313681740f, + 0.956940336f, -0.290284677f, + 0.963776066f, -0.266712757f, + 0.970031253f, -0.242980180f, + 0.975702130f, -0.219101240f, + 0.980785280f, -0.195090322f, + 0.985277642f, -0.170961889f, + 0.989176510f, -0.146730474f, + 0.992479535f, -0.122410675f, + 0.995184727f, -0.098017140f, + 0.997290457f, -0.073564564f, + 0.998795456f, -0.049067674f, + 0.999698819f, -0.024541229f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_512[1024] = { + 1.000000000f, 0.000000000f, + 0.999924702f, 0.012271538f, + 0.999698819f, 0.024541229f, + 0.999322385f, 0.036807223f, + 0.998795456f, 0.049067674f, + 0.998118113f, 0.061320736f, + 0.997290457f, 0.073564564f, + 0.996312612f, 0.085797312f, + 0.995184727f, 0.098017140f, + 0.993906970f, 0.110222207f, + 0.992479535f, 0.122410675f, + 0.990902635f, 0.134580709f, + 0.989176510f, 0.146730474f, + 0.987301418f, 0.158858143f, + 0.985277642f, 0.170961889f, + 0.983105487f, 0.183039888f, + 0.980785280f, 0.195090322f, + 0.978317371f, 0.207111376f, + 0.975702130f, 0.219101240f, + 0.972939952f, 0.231058108f, + 0.970031253f, 0.242980180f, + 0.966976471f, 0.254865660f, + 0.963776066f, 0.266712757f, + 0.960430519f, 0.278519689f, + 0.956940336f, 0.290284677f, + 0.953306040f, 0.302005949f, + 0.949528181f, 0.313681740f, + 0.945607325f, 0.325310292f, + 0.941544065f, 0.336889853f, + 0.937339012f, 0.348418680f, + 0.932992799f, 0.359895037f, + 0.928506080f, 0.371317194f, + 0.923879533f, 0.382683432f, + 0.919113852f, 0.393992040f, + 0.914209756f, 0.405241314f, + 0.909167983f, 0.416429560f, + 0.903989293f, 0.427555093f, + 0.898674466f, 0.438616239f, + 0.893224301f, 0.449611330f, + 0.887639620f, 0.460538711f, + 0.881921264f, 0.471396737f, + 0.876070094f, 0.482183772f, + 0.870086991f, 0.492898192f, + 0.863972856f, 0.503538384f, + 0.857728610f, 0.514102744f, + 0.851355193f, 0.524589683f, + 0.844853565f, 0.534997620f, + 0.838224706f, 0.545324988f, + 0.831469612f, 0.555570233f, + 0.824589303f, 0.565731811f, + 0.817584813f, 0.575808191f, + 0.810457198f, 0.585797857f, + 0.803207531f, 0.595699304f, + 0.795836905f, 0.605511041f, + 0.788346428f, 0.615231591f, + 0.780737229f, 0.624859488f, + 0.773010453f, 0.634393284f, + 0.765167266f, 0.643831543f, + 0.757208847f, 0.653172843f, + 0.749136395f, 0.662415778f, + 0.740951125f, 0.671558955f, + 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0.405241314f, 0.914209756f, + 0.393992040f, 0.919113852f, + 0.382683432f, 0.923879533f, + 0.371317194f, 0.928506080f, + 0.359895037f, 0.932992799f, + 0.348418680f, 0.937339012f, + 0.336889853f, 0.941544065f, + 0.325310292f, 0.945607325f, + 0.313681740f, 0.949528181f, + 0.302005949f, 0.953306040f, + 0.290284677f, 0.956940336f, + 0.278519689f, 0.960430519f, + 0.266712757f, 0.963776066f, + 0.254865660f, 0.966976471f, + 0.242980180f, 0.970031253f, + 0.231058108f, 0.972939952f, + 0.219101240f, 0.975702130f, + 0.207111376f, 0.978317371f, + 0.195090322f, 0.980785280f, + 0.183039888f, 0.983105487f, + 0.170961889f, 0.985277642f, + 0.158858143f, 0.987301418f, + 0.146730474f, 0.989176510f, + 0.134580709f, 0.990902635f, + 0.122410675f, 0.992479535f, + 0.110222207f, 0.993906970f, + 0.098017140f, 0.995184727f, + 0.085797312f, 0.996312612f, + 0.073564564f, 0.997290457f, + 0.061320736f, 0.998118113f, + 0.049067674f, 0.998795456f, + 0.036807223f, 0.999322385f, + 0.024541229f, 0.999698819f, + 0.012271538f, 0.999924702f, + 0.000000000f, 1.000000000f, + -0.012271538f, 0.999924702f, + -0.024541229f, 0.999698819f, + -0.036807223f, 0.999322385f, + -0.049067674f, 0.998795456f, + -0.061320736f, 0.998118113f, + -0.073564564f, 0.997290457f, + -0.085797312f, 0.996312612f, + -0.098017140f, 0.995184727f, + -0.110222207f, 0.993906970f, + -0.122410675f, 0.992479535f, + -0.134580709f, 0.990902635f, + -0.146730474f, 0.989176510f, + -0.158858143f, 0.987301418f, + -0.170961889f, 0.985277642f, + -0.183039888f, 0.983105487f, + -0.195090322f, 0.980785280f, + -0.207111376f, 0.978317371f, + -0.219101240f, 0.975702130f, + -0.231058108f, 0.972939952f, + -0.242980180f, 0.970031253f, + -0.254865660f, 0.966976471f, + -0.266712757f, 0.963776066f, + -0.278519689f, 0.960430519f, + -0.290284677f, 0.956940336f, + -0.302005949f, 0.953306040f, + -0.313681740f, 0.949528181f, + -0.325310292f, 0.945607325f, + -0.336889853f, 0.941544065f, + -0.348418680f, 0.937339012f, + -0.359895037f, 0.932992799f, + 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0.998118113f, -0.061320736f, + 0.998795456f, -0.049067674f, + 0.999322385f, -0.036807223f, + 0.999698819f, -0.024541229f, + 0.999924702f, -0.012271538f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_1024[2048] = { + 1.000000000f, 0.000000000f, + 0.999981175f, 0.006135885f, + 0.999924702f, 0.012271538f, + 0.999830582f, 0.018406730f, + 0.999698819f, 0.024541229f, + 0.999529418f, 0.030674803f, + 0.999322385f, 0.036807223f, + 0.999077728f, 0.042938257f, + 0.998795456f, 0.049067674f, + 0.998475581f, 0.055195244f, + 0.998118113f, 0.061320736f, + 0.997723067f, 0.067443920f, + 0.997290457f, 0.073564564f, + 0.996820299f, 0.079682438f, + 0.996312612f, 0.085797312f, + 0.995767414f, 0.091908956f, + 0.995184727f, 0.098017140f, + 0.994564571f, 0.104121634f, + 0.993906970f, 0.110222207f, + 0.993211949f, 0.116318631f, + 0.992479535f, 0.122410675f, + 0.991709754f, 0.128498111f, + 0.990902635f, 0.134580709f, + 0.990058210f, 0.140658239f, + 0.989176510f, 0.146730474f, + 0.988257568f, 0.152797185f, + 0.987301418f, 0.158858143f, + 0.986308097f, 0.164913120f, + 0.985277642f, 0.170961889f, + 0.984210092f, 0.177004220f, + 0.983105487f, 0.183039888f, + 0.981963869f, 0.189068664f, + 0.980785280f, 0.195090322f, + 0.979569766f, 0.201104635f, + 0.978317371f, 0.207111376f, + 0.977028143f, 0.213110320f, + 0.975702130f, 0.219101240f, + 0.974339383f, 0.225083911f, + 0.972939952f, 0.231058108f, + 0.971503891f, 0.237023606f, + 0.970031253f, 0.242980180f, + 0.968522094f, 0.248927606f, + 0.966976471f, 0.254865660f, + 0.965394442f, 0.260794118f, + 0.963776066f, 0.266712757f, + 0.962121404f, 0.272621355f, + 0.960430519f, 0.278519689f, + 0.958703475f, 0.284407537f, + 0.956940336f, 0.290284677f, + 0.955141168f, 0.296150888f, + 0.953306040f, 0.302005949f, + 0.951435021f, 0.307849640f, + 0.949528181f, 0.313681740f, + 0.947585591f, 0.319502031f, + 0.945607325f, 0.325310292f, + 0.943593458f, 0.331106306f, + 0.941544065f, 0.336889853f, + 0.939459224f, 0.342660717f, + 0.937339012f, 0.348418680f, + 0.935183510f, 0.354163525f, + 0.932992799f, 0.359895037f, + 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0.999529418f, -0.030674803f, + 0.999698819f, -0.024541229f, + 0.999830582f, -0.018406730f, + 0.999924702f, -0.012271538f, + 0.999981175f, -0.006135885f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_2048[4096] = { + 1.000000000f, 0.000000000f, + 0.999995294f, 0.003067957f, + 0.999981175f, 0.006135885f, + 0.999957645f, 0.009203755f, + 0.999924702f, 0.012271538f, + 0.999882347f, 0.015339206f, + 0.999830582f, 0.018406730f, + 0.999769405f, 0.021474080f, + 0.999698819f, 0.024541229f, + 0.999618822f, 0.027608146f, + 0.999529418f, 0.030674803f, + 0.999430605f, 0.033741172f, + 0.999322385f, 0.036807223f, + 0.999204759f, 0.039872928f, + 0.999077728f, 0.042938257f, + 0.998941293f, 0.046003182f, + 0.998795456f, 0.049067674f, + 0.998640218f, 0.052131705f, + 0.998475581f, 0.055195244f, + 0.998301545f, 0.058258265f, + 0.998118113f, 0.061320736f, + 0.997925286f, 0.064382631f, + 0.997723067f, 0.067443920f, + 0.997511456f, 0.070504573f, + 0.997290457f, 0.073564564f, + 0.997060070f, 0.076623861f, + 0.996820299f, 0.079682438f, + 0.996571146f, 0.082740265f, + 0.996312612f, 0.085797312f, + 0.996044701f, 0.088853553f, + 0.995767414f, 0.091908956f, + 0.995480755f, 0.094963495f, + 0.995184727f, 0.098017140f, + 0.994879331f, 0.101069863f, + 0.994564571f, 0.104121634f, + 0.994240449f, 0.107172425f, + 0.993906970f, 0.110222207f, + 0.993564136f, 0.113270952f, + 0.993211949f, 0.116318631f, + 0.992850414f, 0.119365215f, + 0.992479535f, 0.122410675f, + 0.992099313f, 0.125454983f, + 0.991709754f, 0.128498111f, + 0.991310860f, 0.131540029f, + 0.990902635f, 0.134580709f, + 0.990485084f, 0.137620122f, + 0.990058210f, 0.140658239f, + 0.989622017f, 0.143695033f, + 0.989176510f, 0.146730474f, + 0.988721692f, 0.149764535f, + 0.988257568f, 0.152797185f, + 0.987784142f, 0.155828398f, + 0.987301418f, 0.158858143f, + 0.986809402f, 0.161886394f, + 0.986308097f, 0.164913120f, + 0.985797509f, 0.167938295f, + 0.985277642f, 0.170961889f, + 0.984748502f, 0.173983873f, + 0.984210092f, 0.177004220f, + 0.983662419f, 0.180022901f, + 0.983105487f, 0.183039888f, + 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0.999882347f, -0.015339206f, + 0.999924702f, -0.012271538f, + 0.999957645f, -0.009203755f, + 0.999981175f, -0.006135885f, + 0.999995294f, -0.003067957f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) +/** + @par + Example code for Floating-point Twiddle factors Generation: + @par + 
for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are in interleaved fashion +*/ +const float32_t twiddleCoef_4096[8192] = { + 1.000000000f, 0.000000000f, + 0.999998823f, 0.001533980f, + 0.999995294f, 0.003067957f, + 0.999989411f, 0.004601926f, + 0.999981175f, 0.006135885f, + 0.999970586f, 0.007669829f, + 0.999957645f, 0.009203755f, + 0.999942350f, 0.010737659f, + 0.999924702f, 0.012271538f, + 0.999904701f, 0.013805389f, + 0.999882347f, 0.015339206f, + 0.999857641f, 0.016872988f, + 0.999830582f, 0.018406730f, + 0.999801170f, 0.019940429f, + 0.999769405f, 0.021474080f, + 0.999735288f, 0.023007681f, + 0.999698819f, 0.024541229f, + 0.999659997f, 0.026074718f, + 0.999618822f, 0.027608146f, + 0.999575296f, 0.029141509f, + 0.999529418f, 0.030674803f, + 0.999481187f, 0.032208025f, + 0.999430605f, 0.033741172f, + 0.999377670f, 0.035274239f, + 0.999322385f, 0.036807223f, + 0.999264747f, 0.038340120f, + 0.999204759f, 0.039872928f, + 0.999142419f, 0.041405641f, + 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0.999957645f, -0.009203755f, + 0.999970586f, -0.007669829f, + 0.999981175f, -0.006135885f, + 0.999989411f, -0.004601926f, + 0.999995294f, -0.003067957f, + 0.999998823f, -0.001533980f +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + +/** + @brief Q31 Twiddle factors Table +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
 for(i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_16_q31[24] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_32_q31[48] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xB8E31319, (q31_t)0x9592675B, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xE70747C3, (q31_t)0x8275A0C0 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_64_q31[96] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i < 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_128_q31[192] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3, + (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70, + (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB, + (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C, + (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C, + (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1, + (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684, + (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2, + (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B, + (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B, + (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376, + (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B, + (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F, + (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4, + (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03, + (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_256_q31[384] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF, + (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2, + (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4, + (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7, + (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013, + (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62, + (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A, + (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E, + (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049, + (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6, + (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91, + (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95, + (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E, + (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC, + (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648, + (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B, + (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D, + (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20, + (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E, + (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB, + (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B, + (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E, + (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411, + (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16, + (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D, + (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872, + (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_512_q31[768] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + 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(q31_t)0x812A1A39, (q31_t)0x1139F0CE, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A, + (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C, + (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440, + (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440, + (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C, + (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A, + (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971, + (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E, + (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70, + (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3, + (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124, + (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30, + (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D, + (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E, + (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04, + (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043, + (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9, + (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1, + (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC, + (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB, + (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5, + (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B, + (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC, + (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70, + (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + + */ +const q31_t twiddleCoef_1024_q31[1536] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4, + (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6, + (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956, + (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7, + (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC, + (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724, + (q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89, + (q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323, + (q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8, + (q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1, + (q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988, + (q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D, + (q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B, + (q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1, + (q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626, + (q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804, + (q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099, + (q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12, + (q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C, + (q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278, + (q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A, + (q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7, + (q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3, + (q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF, + (q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B, + (q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D, + (q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, 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(q31_t)0xF8EF5CBB, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D, + (q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D, + (q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF, + (q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C, + (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6, + (q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C, + (q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758, + (q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621, + (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8, + (q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422, + (q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF, + (q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3, + (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C, + (q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152, + (q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE, + (q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B, + (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820, + (q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677, + (q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5, + (q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38, + (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05, + (q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30, + (q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7, + (q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148, + (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A, + (q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663, + (q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805, + (q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA, + (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B, + (q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94, + (q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855, + (q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368, + (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D, + (q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70, + (q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596, + (q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91, + (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C, + (q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283, + (q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533, + (q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68, + (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173, + (q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106, + (q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D, + (q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72, + (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91, + (q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2, + (q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8, + (q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C, + (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362, + (q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B, + (q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8, + (q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87, + (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F, + (q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2, + (q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3, + (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E, + (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50, + (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527, + (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2, + (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D, + (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504, + (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5, + (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A, + (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8, + (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5, + (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A, + (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10, + (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB, + (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_2048_q31[3072] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885, + (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1, + (q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477, + (q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108, + (q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853, + (q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2, + (q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15, + (q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4, + (q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450, + (q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E, + (q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765, + (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635, + (q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39, + (q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1, + (q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0, + (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF, + (q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7, + (q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D, + (q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8, + (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E, + (q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218, + (q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CCDA168, + (q31_t)0x1C6D9053, (q31_t)0x7CB72724, (q31_t)0x1CCF8CB3, + (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C71EAF8, (q31_t)0x1DF5163F, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4242F2, + (q31_t)0x1EB86B46, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7BF88830, + (q31_t)0x1FDCDC1A, (q31_t)0x7BDF5B94, (q31_t)0x203E300D, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BAC1D31, + (q31_t)0x21009C0B, (q31_t)0x7B920B89, (q31_t)0x2161B39F, + (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7B420D7A, (q31_t)0x22847DDF, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B0B3D2C, + (q31_t)0x2345EFF7, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AB6CBA3, + (q31_t)0x24677757, (q31_t)0x7A9A0E4F, (q31_t)0x24C7CD32, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A5FB0D8, + (q31_t)0x2588349D, (q31_t)0x7A4210D8, (q31_t)0x25E845B5, + (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x79E76CA6, (q31_t)0x2707EBC6, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79A98715, + (q31_t)0x27C737D2, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x794A7C11, + (q31_t)0x28E5714A, (q31_t)0x792A37FE, (q31_t)0x2944A7A2, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78E8CFB1, + (q31_t)0x2A02C7B8, (q31_t)0x78C7ABA1, (q31_t)0x2A61B101, + (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x786280BF, (q31_t)0x2B7DCF17, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x781D9B64, + (q31_t)0x2C3AB2B9, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77B417DF, + (q31_t)0x2D553AFB, (q31_t)0x7790583D, (q31_t)0x2DB330C7, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7747FBCE, + (q31_t)0x2E6EC792, (q31_t)0x77235F2D, (q31_t)0x2ECC681E, + (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x76B3D0B3, (q31_t)0x2FE49BA6, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x76680376, + (q31_t)0x309ED555, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x75F42C0A, + (q31_t)0x31B54A5D, (q31_t)0x75CCFD42, (q31_t)0x3211DF03, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x757DC5CA, + (q31_t)0x32CAAB6F, (q31_t)0x7555BD4B, (q31_t)0x3326E2C2, + (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x74DBF1EF, (q31_t)0x343ACA87, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x7489571B, + (q31_t)0x34F219A7, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x74359CBD, (q31_t)0x35A8E624, (q31_t)0x740B53FA, + (q31_t)0x36041AD9, (q31_t)0x73E0C3A3, (q31_t)0x365F2E3B, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x738ACC9E, + (q31_t)0x3714F02A, (q31_t)0x735F6626, (q31_t)0x376F9E46, + (q31_t)0x7333B883, (q31_t)0x37CA2A30, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72DB8828, (q31_t)0x387EDA8E, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72823C66, + (q31_t)0x3932FF87, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x7227D61C, (q31_t)0x39E6975D, (q31_t)0x71FA3948, + (q31_t)0x3A402DD1, (q31_t)0x71CC5626, (q31_t)0x3A99A057, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x716FBD68, + (q31_t)0x3B4C18BA, (q31_t)0x71410804, (q31_t)0x3BA51E29, + (q31_t)0x71120CC5, (q31_t)0x3BFDFECD, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70B34524, (q31_t)0x3CAF50DA, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70536771, + (q31_t)0x3D600D2B, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6FF27496, (q31_t)0x3E10320D, (q31_t)0x6FC19385, + (q31_t)0x3E680B2C, (q31_t)0x6F906D84, (q31_t)0x3EBFBDCC, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6F2D532C, + (q31_t)0x3F6EAEB8, (q31_t)0x6EFB5F12, (q31_t)0x3FC5EC97, + (q31_t)0x6EC92682, (q31_t)0x401D0320, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6E63E87F, (q31_t)0x40CAB957, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DFD9A1B, + (q31_t)0x4177CFB0, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6D963C54, (q31_t)0x42244480, (q31_t)0x6D6227FA, + (q31_t)0x427A41D0, (q31_t)0x6D2DD027, (q31_t)0x42D0161E, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6CC45697, + (q31_t)0x437B42E1, (q31_t)0x6C8F351C, (q31_t)0x43D09AEC, + (q31_t)0x6C59D0A9, (q31_t)0x4425C923, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6BEE3F62, (q31_t)0x44CFA73F, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B81A3CD, + (q31_t)0x4578DB93, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6B13FEF5, (q31_t)0x4621647C, (q31_t)0x6ADCC964, + (q31_t)0x46756827, (q31_t)0x6AA551E8, (q31_t)0x46C9405C, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x6A359DB9, + (q31_t)0x47706D93, (q31_t)0x69FD614A, (q31_t)0x47C3C22E, + (q31_t)0x69C4E37A, (q31_t)0x4816EA85, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x69532442, (q31_t)0x48BCB598, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68E06129, + (q31_t)0x4961CD32, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x686C9B4B, (q31_t)0x4A062FBD, (q31_t)0x683257AA, + (q31_t)0x4A581C9D, (q31_t)0x67F7D3C4, (q31_t)0x4AA9DBA1, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x67820BB6, + (q31_t)0x4B4CCF4D, (q31_t)0x6746C7D7, (q31_t)0x4B9E038F, + (q31_t)0x670B4443, (q31_t)0x4BEF092D, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x66937E90, (q31_t)0x4C9087B1, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x661ABBC5, + (q31_t)0x4D31494B, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x65A0FD0B, (q31_t)0x4DD14C6E, (q31_t)0x6563BF92, + (q31_t)0x4E210617, (q31_t)0x6526438E, (q31_t)0x4E708F8F, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x64AA907F, + (q31_t)0x4F0F1126, (q31_t)0x646C59BF, (q31_t)0x4F5E08E3, + (q31_t)0x642DE50D, (q31_t)0x4FACCFAB, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x63B0426D, (q31_t)0x5049C999, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x6331A9D4, + (q31_t)0x50E5FD6C, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x62B21C7B, (q31_t)0x518169A4, (q31_t)0x6271FA69, + (q31_t)0x51CED46E, (q31_t)0x62319B9D, (q31_t)0x521C0CC1, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x61B02876, + (q31_t)0x52B5E545, (q31_t)0x616F146B, (q31_t)0x53028517, + (q31_t)0x612DC446, (q31_t)0x534EF1B5, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x60AA704F, (q31_t)0x53E73097, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x60262DD5, + (q31_t)0x547EA073, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5FA0FE1E, (q31_t)0x55153FD4, (q31_t)0x5F5E0DB3, + (q31_t)0x556040E2, (q31_t)0x5F1AE273, (q31_t)0x55AB0D46, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E93DC1F, + (q31_t)0x56400757, (q31_t)0x5E50015D, (q31_t)0x568A34A9, + (q31_t)0x5E0BEC6E, (q31_t)0x56D42C99, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5D8314B0, (q31_t)0x57677B9D, + (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CF95638, + (q31_t)0x57F9F2F7, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5C6EB258, (q31_t)0x588B913F, (q31_t)0x5C290ACC, + (q31_t)0x58D40E8C, (q31_t)0x5BE32A67, (q31_t)0x591C550E, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B56BFBD, + (q31_t)0x59AC3CFD, (q31_t)0x5B1035CF, (q31_t)0x59F3DE12, + (q31_t)0x5AC973B4, (q31_t)0x5A3B47AA, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x5A3B47AA, (q31_t)0x5AC973B4, + (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59AC3CFD, + (q31_t)0x5B56BFBD, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x591C550E, (q31_t)0x5BE32A67, (q31_t)0x58D40E8C, + (q31_t)0x5C290ACC, (q31_t)0x588B913F, (q31_t)0x5C6EB258, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57F9F2F7, + (q31_t)0x5CF95638, (q31_t)0x57B0D256, (q31_t)0x5D3E5236, + (q31_t)0x57677B9D, (q31_t)0x5D8314B0, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x56D42C99, (q31_t)0x5E0BEC6E, + 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(q31_t)0x9447ED2F, (q31_t)0xBB3058C0, + (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513, + (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1, + (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805, + (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8, + (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368, + (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233, + (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A, + (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25, + (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7, + (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8, + (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7, + (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571, + (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA, + (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4, + (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05, + (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578, + (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D, + (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC, + (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5, + (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459, + (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1, + (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38, + (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820, + (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8, + (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE, + (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D, + (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE, + (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439, + (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A, + (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD, + (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C, + (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220, + (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60, + (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2, + (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF, + (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1, + (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C, + (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB, + (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8, + (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616, + (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917, + (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273, + (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758, + (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80, + (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F, + (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2, + (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752, + (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A, + (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89, + (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260, + (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743, + (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5, + (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90, + (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB, + (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89, + (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69, + (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078, + (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) +/** + @par + Example code for Q31 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to Q31(Fixed point 1.31): + round(twiddleCoefQ31(i) * pow(2, 31)) + */ +const q31_t twiddleCoef_4096_q31[6144] = +{ + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621, + (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3, + (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64, + (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F, + (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17, + (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4, + (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553, + (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790, + (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840, + (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C, + (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518, + (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152, + (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23, + (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE, + (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7, + (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494, + (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C, + (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89, + (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226, + (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B, + (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD, + (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389, + (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654, + (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + 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(q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8, + (q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79, + (q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0, + (q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1, + (q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5, + (q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406, + (q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2, + (q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3, + (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0, + (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243, + (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44, + (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3, + (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23, + (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662, + (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0, + (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C, + (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A, + (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76, + (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231, + (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74, + (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01, + (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076, + (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188, + (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B, + (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E, + (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41, + (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E, + (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD, + (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820, + (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4, + (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C, + (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F, + (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569, + (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B, + (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E, + (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0, + (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0, + (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9, + (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D, + (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @brief q15 Twiddle factors Table +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) + +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
fori = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 16, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_16_q15[24] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xCF04, (q15_t)0x89BE +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 32, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_32_q15[48] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7D8A, (q15_t)0x18F8, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x6A6D, (q15_t)0x471C, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x471C, (q15_t)0x6A6D, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x18F8, (q15_t)0x7D8A, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xE707, (q15_t)0x7D8A, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xB8E3, (q15_t)0x6A6D, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x9592, (q15_t)0x471C, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8275, (q15_t)0x18F8, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x8275, (q15_t)0xE707, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0x9592, (q15_t)0xB8E3, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xB8E3, (q15_t)0x9592, + (q15_t)0xCF04, (q15_t)0x89BE, + (q15_t)0xE707, (q15_t)0x8275 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 64, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_64_q15[96] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 128, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_128_q15[192] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 256, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_256_q15[384] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 512, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_512_q15[768] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 1024, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + + */ +const q15_t twiddleCoef_1024_q15[1536] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524, + (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3, + (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58, + (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1, + (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E, + (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE, + (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433, + (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A, + (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4, + (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10, + (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E, + (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E, + (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F, + (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371, + (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563, + (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746, + (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919, + (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC, + (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F, + (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30, + (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1, + (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141, + (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF, + (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F, + 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(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975, + (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B, + (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF, + (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1, + (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1, + (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90, + (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E, + (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C, + (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9, + (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6, + (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370, + (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF, + (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E, + (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE, + (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50, + (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4, + (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA, + (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971, + (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B, + (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 2048, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_2048_q15[3072] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DE8, (q15_t)0x170A, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DC3, (q15_t)0x17D0, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7D9D, (q15_t)0x1896, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D76, (q15_t)0x195B, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D4E, (q15_t)0x1A20, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D24, (q15_t)0x1AE4, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7CF9, (q15_t)0x1BA9, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CCD, (q15_t)0x1C6D, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CA0, (q15_t)0x1D31, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C71, (q15_t)0x1DF5, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C42, (q15_t)0x1EB8, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C11, (q15_t)0x1F7B, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BDF, (q15_t)0x203E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BAC, (q15_t)0x2100, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B77, (q15_t)0x21C2, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B42, (q15_t)0x2284, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B0B, (q15_t)0x2345, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AD3, (q15_t)0x2407, + (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7A9A, (q15_t)0x24C7, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A5F, (q15_t)0x2588, + (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A24, (q15_t)0x2648, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79E7, (q15_t)0x2707, + (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79A9, (q15_t)0x27C7, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x796A, (q15_t)0x2886, + (q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x792A, (q15_t)0x2944, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78E8, (q15_t)0x2A02, + (q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78A6, (q15_t)0x2AC0, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7862, (q15_t)0x2B7D, + (q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x781D, (q15_t)0x2C3A, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77D7, (q15_t)0x2CF7, + (q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x7790, (q15_t)0x2DB3, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7747, (q15_t)0x2E6E, + (q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x76FE, (q15_t)0x2F29, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76B3, (q15_t)0x2FE4, + (q15_t)0x768E, (q15_t)0x3041, (q15_t)0x7668, (q15_t)0x309E, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x761B, (q15_t)0x3158, + (q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75CC, (q15_t)0x3211, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x757D, (q15_t)0x32CA, + (q15_t)0x7555, (q15_t)0x3326, (q15_t)0x752D, (q15_t)0x3382, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74DB, (q15_t)0x343A, + (q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x7489, (q15_t)0x34F2, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x7435, (q15_t)0x35A8, + (q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73E0, (q15_t)0x365F, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x738A, (q15_t)0x3714, + (q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7333, (q15_t)0x37CA, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72DB, (q15_t)0x387E, + (q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7282, (q15_t)0x3932, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x7227, (q15_t)0x39E6, + (q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71CC, (q15_t)0x3A99, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x716F, (q15_t)0x3B4C, + (q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7112, (q15_t)0x3BFD, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70B3, (q15_t)0x3CAF, + (q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x7053, (q15_t)0x3D60, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FF2, (q15_t)0x3E10, + (q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6F90, (q15_t)0x3EBF, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F2D, (q15_t)0x3F6E, + (q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EC9, (q15_t)0x401D, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E63, (q15_t)0x40CA, + (q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6DFD, (q15_t)0x4177, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D96, (q15_t)0x4224, + (q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D2D, (q15_t)0x42D0, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CC4, (q15_t)0x437B, + (q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C59, (q15_t)0x4425, + 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(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) +/** + @par + Example code for q15 Twiddle factors Generation:: + @par + 
for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  }
+ @par + where N = 4096, PI = 3.14159265358979 + @par + Cos and Sin values are interleaved fashion + @par + Convert Floating point to q15(Fixed point 1.15): + round(twiddleCoefq15(i) * pow(2, 15)) + */ +const q15_t twiddleCoef_4096_q15[6144] = +{ + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032, + (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB, + (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4, + (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D, + (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356, + (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F, + (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8, + (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1, + (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A, + (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742, + (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B, + (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4, + (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C, + (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65, + (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D, + (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5, + (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD, + (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85, + (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D, + (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15, + (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD, + (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4, + (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B, + (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232, + (q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9, + (q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0, + (q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487, + (q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D, + (q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613, + (q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9, + (q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F, + (q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864, + (q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A, + (q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF, + (q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3, + (q15_t)0x7D24, (q15_t)0x1AE4, (q15_t)0x7D19, (q15_t)0x1B16, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7D04, (q15_t)0x1B78, + (q15_t)0x7CF9, (q15_t)0x1BA9, (q15_t)0x7CEE, (q15_t)0x1BDA, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CD8, (q15_t)0x1C3C, + (q15_t)0x7CCD, (q15_t)0x1C6D, (q15_t)0x7CC2, (q15_t)0x1C9E, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CAB, (q15_t)0x1D00, + (q15_t)0x7CA0, (q15_t)0x1D31, (q15_t)0x7C94, (q15_t)0x1D62, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C7D, (q15_t)0x1DC4, + (q15_t)0x7C71, (q15_t)0x1DF5, (q15_t)0x7C66, (q15_t)0x1E25, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C4E, (q15_t)0x1E87, + (q15_t)0x7C42, (q15_t)0x1EB8, (q15_t)0x7C36, (q15_t)0x1EE9, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C1D, (q15_t)0x1F4A, + (q15_t)0x7C11, (q15_t)0x1F7B, (q15_t)0x7C05, (q15_t)0x1FAC, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BEB, (q15_t)0x200D, + (q15_t)0x7BDF, (q15_t)0x203E, (q15_t)0x7BD2, (q15_t)0x206E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BB9, (q15_t)0x20D0, + (q15_t)0x7BAC, (q15_t)0x2100, (q15_t)0x7B9F, (q15_t)0x2131, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B84, (q15_t)0x2192, + (q15_t)0x7B77, (q15_t)0x21C2, (q15_t)0x7B6A, (q15_t)0x21F3, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B4F, (q15_t)0x2254, + (q15_t)0x7B42, (q15_t)0x2284, (q15_t)0x7B34, (q15_t)0x22B4, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B19, (q15_t)0x2315, + (q15_t)0x7B0B, (q15_t)0x2345, (q15_t)0x7AFD, (q15_t)0x2376, + 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(q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB, + (q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A, + (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439, + (q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397, + (q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347, + (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6, + (q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6, + (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256, + (q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206, + (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7, + (q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118, + (q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9, + (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A, + (q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B, + (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD, + (q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F, + (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40, + (q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5, + (q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57, + (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A, + (q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD, + (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70, + (q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23, + (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7, + (q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E, + (q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2, + (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7, + (q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B, + 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(q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657, + (q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E, + (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6, + (q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576, + (q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E, + (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507, + (q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499, + (q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463, + (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C, + (q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0, + (q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B, + (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356, + (q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321, + 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(q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3, + (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1, + (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE, + (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A, + (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749, + (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727, + (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6, + (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5, + (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5, + (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666, + (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646, + (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627, + (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA, + (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC, + (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF, + (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574, + (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557, + (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A, + (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502, + (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6, + (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB, + (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495, + (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B, + (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460, + (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D, + (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414, + (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA, + (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9, + (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1, + (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399, + (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B, + (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354, + (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D, + (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311, + (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6, + (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC, + (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293, + (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B, + (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245, + (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220, + (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC, + (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9, + (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8, + (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198, + (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179, + (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B, + (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E, + (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123, + (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109, + (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0, + (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8, + (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2, + (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC, + (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098, + (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086, + (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074, + (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064, + (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055, + (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047, + (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A, + (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F, + (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025, + (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C, + (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014, + (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D, + (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008, + (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004, + (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001, + (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000, + (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +/** + @} end of CFFT_CIFFT group +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16) + +const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH] = +{ + /* radix 4, size 12 */ + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32) +const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH] = +{ + /* 4x2, size 24 */ + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64) +const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH] = +{ + /* radix 4, size 56 */ + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128) +const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH] = +{ + /* 4x2, size 112 */ + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256) +const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH] = +{ + /* radix 4, size 240 */ + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512) +const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH] = +{ + /* 4x2, size 480 */ + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024) +const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH] = +{ + /* radix 4, size 992 */ + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048) +const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH] = +{ + /* 4x2, size 1984 */ + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 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10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096) +const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH] = +{ + /* radix 4, size 4032 */ + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, + 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, + 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, + 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, + 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, + 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, + 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, + 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, + 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, + 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, + 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, + 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, + 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, + 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, + 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, + 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, + 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, + 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, + 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, + 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, + 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, + 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, + 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, + 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, + 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, + 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, + 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, + 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, + 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, + 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, + 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, + 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, + 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, + 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, + 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, + 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, + 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, + 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, + 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, + 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, + 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, + 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, + 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, + 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, + 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, + 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, + 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, + 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, + 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, + 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, + 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, + 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, + 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, + 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, + 4232,17440, 4240,9248, 4248,25632, 4256,5152, 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22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16) + +const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] = +{ + /* 8x2, size 20 */ + 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32) + +const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] = +{ + /* 8x4, size 48 */ + 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, + 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, + 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64) + +const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] = +{ + /* radix 8, size 56 */ + 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, + 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, + 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, + 368,424, 376,488, 440,496 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128) + +const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = +{ + /* 8x2, size 208 */ + 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, + 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, + 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, + 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, + 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, + 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, + 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, + 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, + 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, + 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, + 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, + 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, + 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256) + +const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = +{ + /* 8x4, size 440 */ + 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, + 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, + 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, + 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, + 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, + 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, + 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, + 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, + 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, + 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, + 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, + 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, + 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, + 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, + 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, + 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, + 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, + 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, + 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, + 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, + 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, + 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, + 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, + 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, + 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, + 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, + 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, + 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, + 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, + 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, + 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, + 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, + 1960,1968, 2008,2032, 1992,2016, 2024,2032 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512) + +const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = +{ + /* radix 8, size 448 */ + 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, + 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, + 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, + 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, + 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, + 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, + 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, + 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, + 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, + 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, + 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, + 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, + 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, + 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, + 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, + 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, + 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, + 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, + 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, + 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, + 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, + 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, + 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, + 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, + 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, + 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, + 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, + 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, + 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, + 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, + 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, + 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, + 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, + 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, + 3448,3952, 3512,4016, 3576,4080 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024) + +const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] = +{ + /* 8x2, size 1800 */ + 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, + 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, + 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, + 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, + 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, + 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, + 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, + 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, + 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, + 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, + 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, + 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, + 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, + 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, + 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, + 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, + 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, + 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, + 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, + 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, + 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, + 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, + 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, + 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, + 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, + 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, + 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, + 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, + 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, + 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, + 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, + 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, + 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, + 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, + 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, + 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, + 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, + 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, + 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, + 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, + 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, + 2152,7184, 2160,3600, 2168,7696, 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7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, + 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, + 8112,8136, 8120,8168, 8136,8160, 8152,8176 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048) + +const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] = +{ + /* 8x2, size 3808 */ + 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, + 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, + 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, + 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, + 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, + 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, + 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, + 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, + 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, + 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, + 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, + 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, + 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, + 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, + 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, + 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, + 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, + 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, + 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, + 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, + 1128,5888, 1136,9984, 1144,14080, 1152,2304, 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1856,3392, + 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, + 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, + 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, + 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, + 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, + 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, + 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, + 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, + 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, + 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, + 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, + 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, + 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, + 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, + 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16216,16240, 16224,16320, 16232,16336, 16240,16352, + 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, + 16328,16352, 16360,16368 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096) + +const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] = +{ + /* radix 8, size 4032 */ + 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, + 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, + 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, + 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, + 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, + 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, + 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, + 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, + 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, + 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, + 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, + 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, + 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, + 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, + 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, + 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, + 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, + 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, + 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, + 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, + 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, + 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, + 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, + 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, + 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, + 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, + 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, + 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, + 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, + 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, + 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, + 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, + 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, + 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, + 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, + 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, + 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, + 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, + 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, + 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, + 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, + 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, + 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, + 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, + 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, + 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, + 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, + 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, 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25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, + 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, + 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, + 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, + 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, + 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, + 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, + 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, + 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, + 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, + 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, + 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, + 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, + 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, + 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, + 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, + 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, + 32248,32696 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + +const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] = +{ + /* radix 4, size 12 */ + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) +const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] = +{ + /* 4x2, size 24 */ + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) +const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] = +{ + /* radix 4, size 56 */ + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) +const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] = +{ + /* 4x2, size 112 */ + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) +const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] = +{ + /* radix 4, size 240 */ + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) +const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] = +{ + /* 4x2, size 480 */ + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) +const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = +{ + /* radix 4, size 992 */ + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) +const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = +{ + /* 4x2, size 1984 */ + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, + 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, + 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, + 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, + 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, + 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, + 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, + 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, + 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, + 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, + 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, + 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, + 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, + 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, + 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) +const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = +{ + /* radix 4, size 4032 */ + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 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11096,27472, 11112,23376, 11120,15184, + 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544, + 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592, + 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640, + 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808, + 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760, + 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008, + 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440, + 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176, + 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848, + 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088, + 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968, + 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824, + 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648, + 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384, + 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624, + 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528, + 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768, + 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504, + 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136, + 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088, + 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872, + 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304, + 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928, + 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808, + 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664, + 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248, + 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416, + 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368, + 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848, + 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584, + 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728, + 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360, + 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096, + 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336, + 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912, + 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152, + 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080, + 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424, + 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664, + 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592, + 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592, + 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520, + 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664, + 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296, + 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032, + 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176, + 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040, + 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, + 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, + 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, + 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, + 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, + 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, + 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, + 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, + 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, + 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, + 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, + 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, + 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, + 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, + 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, + 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, + 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, + 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, + 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, + 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, + 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, + 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, + 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, + 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, + 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, + 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, + 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, + 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, + 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, + 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, + 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, + 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, + 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, + 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, + 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, + 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, + 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, + 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, + 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, + 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, + 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, + 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, + 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, + 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, + 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, + 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, + 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, + 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, + 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, + 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, + 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, + 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, + 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, + 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, + 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, + 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, + 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, + 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, + 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, + 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, + 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, + 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, + 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, + 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, + 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) +/** + @par + Example code for Double Precision Floating-point RFFT Twiddle factors Generation: + @par + 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
+ @par + Real and Imag values are in interleaved fashion +*/ +const uint64_t twiddleCoefF64_rfft_32[32] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, //0.19509, 0.98079 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, //0.38268, 0.92388 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, //0.55557, 0.83147 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, //0.70711, 0.70711 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, //0.83147, 0.55557 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, //0.92388, 0.38268 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, //0.98079, 0.19509 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, //0.98079,-0.19509 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, //0.92388,-0.38268 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, //0.83147,-0.55557 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, //0.70711,-0.70711 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, //0.55557,-0.83147 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, //0.38268,-0.92388 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, //0.19509,-0.98079 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) +const uint64_t twiddleCoefF64_rfft_64[64] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) +const uint64_t twiddleCoefF64_rfft_128[128] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) +const uint64_t twiddleCoefF64_rfft_256[256] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997 + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) +const uint64_t twiddleCoefF64_rfft_512[512] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, //0.012272, 0.99992' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, //0.024541, 0.9997' + 0x3fa2d865759455cd, 0x3feffa72effef75d, //0.036807, 0.99932' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, //0.049068, 0.9988' + 0x3faf656e79f820e0, 0x3feff095658e71ad, //0.061321, 0.99812' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, //0.073565, 0.99729' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, //0.085797, 0.99631' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, //0.098017, 0.99518' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992,-0.012272' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997,-0.024541' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932,-0.036807' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988,-0.049068' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812,-0.061321' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729,-0.073565' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631,-0.085797' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518,-0.098017' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, //0.098017, -0.99518' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, //0.085797, -0.99631' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, //0.073565, -0.99729' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, //0.061321, -0.99812' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, //0.049068, -0.9988' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, //0.036807, -0.99932' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, //0.024541, -0.9997' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, //0.012272, -0.99992' + + +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) +const uint64_t twiddleCoefF64_rfft_1024[1024] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1' + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998' + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992' + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983' + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997' + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953' + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932' + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908' + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988' + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848' + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812' + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772' + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729' + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682' + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631' + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577' + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518' + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456' + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391' + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321' + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248' + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171' + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909' + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006' + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918' + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826' + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873' + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631' + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528' + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421' + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311' + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196' + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079' + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957' + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832' + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703' + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757' + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434' + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294' + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715' + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003' + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852' + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698' + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539' + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378' + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212' + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043' + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587' + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694' + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514' + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331' + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144' + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953' + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759' + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561' + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359' + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154' + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946' + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734' + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518' + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299' + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077' + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851' + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621' + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388' + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151' + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911' + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668' + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421' + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171' + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917' + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066' + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399' + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135' + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867' + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597' + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322' + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045' + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764' + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848' + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192' + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901' + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607' + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309' + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009' + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705' + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397' + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087' + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773' + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456' + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136' + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812' + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485' + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155' + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822' + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486' + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147' + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805' + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459' + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211' + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758' + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404' + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046' + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685' + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321' + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954' + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584' + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211' + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835' + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456' + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074' + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689' + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301' + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691' + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517' + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612' + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721' + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319' + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914' + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506' + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095' + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682' + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265' + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846' + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425' + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72' + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573' + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143' + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711' + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275' + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838' + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397' + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954' + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508' + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806' + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609' + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156' + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667' + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242' + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781' + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317' + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851' + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383' + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912' + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439' + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964' + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486' + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006' + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523' + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038' + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551' + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062' + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957' + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076' + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858' + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081' + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581' + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078' + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573' + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066' + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557' + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046' + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532' + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017' + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535' + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298' + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459' + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936' + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141' + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883' + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354' + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823' + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929' + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755' + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218' + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768' + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714' + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598' + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054' + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508' + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961' + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412' + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862' + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309' + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756' + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422' + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643' + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084' + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524' + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962' + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399' + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835' + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268' + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701' + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132' + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561' + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599' + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416' + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842' + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266' + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689' + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111' + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531' + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195' + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368' + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785' + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201' + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615' + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028' + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441' + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852' + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262' + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671' + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079' + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487' + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893' + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298' + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702' + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106' + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508' + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191' + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311' + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711' + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011' + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509' + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907' + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304' + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177' + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096' + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491' + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886' + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528' + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673' + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066' + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458' + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285' + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241' + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632' + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022' + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412' + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017' + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909' + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797' + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682' + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565' + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444' + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321' + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195' + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068' + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938' + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807' + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675' + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541' + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407' + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272' + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359' + 0x3ff0000000000000, 0x0000000000000000, // 1, 0' + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359' + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272' + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407' + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541' + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675' + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807' + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938' + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068' + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195' + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321' + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444' + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565' + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682' + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797' + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909' + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017' + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412' + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022' + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632' + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241' + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285' + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458' + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066' + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673' + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528' + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886' + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491' + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096' + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177' + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304' + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907' + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509' + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011' + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711' + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311' + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191' + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508' + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106' + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702' + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298' + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893' + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487' + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079' + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671' + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262' + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852' + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441' + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028' + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615' + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201' + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785' + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368' + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195' + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531' + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111' + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689' + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266' + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842' + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416' + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599' + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561' + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132' + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701' + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268' + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835' + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399' + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962' + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524' + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084' + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643' + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422' + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756' + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309' + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862' + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412' + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961' + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508' + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054' + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598' + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714' + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768' + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218' + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755' + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929' + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823' + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354' + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883' + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141' + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936' + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459' + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298' + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535' + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017' + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532' + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046' + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557' + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066' + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573' + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078' + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581' + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081' + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858' + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076' + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957' + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062' + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551' + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038' + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523' + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006' + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486' + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964' + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439' + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912' + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383' + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851' + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317' + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781' + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242' + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667' + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156' + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609' + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806' + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508' + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954' + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397' + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838' + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275' + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711' + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143' + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573' + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72' + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425' + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846' + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265' + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682' + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095' + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506' + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914' + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319' + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721' + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612' + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517' + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691' + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301' + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689' + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074' + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456' + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835' + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211' + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584' + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954' + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321' + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685' + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046' + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404' + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758' + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211' + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459' + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805' + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147' + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486' + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822' + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155' + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485' + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812' + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136' + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456' + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773' + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087' + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397' + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705' + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009' + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309' + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607' + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901' + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192' + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848' + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764' + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045' + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322' + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597' + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867' + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135' + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399' + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066' + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917' + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171' + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421' + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668' + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911' + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151' + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388' + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621' + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851' + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077' + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299' + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518' + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734' + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946' + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154' + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359' + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561' + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759' + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953' + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144' + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331' + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514' + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694' + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587' + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043' + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212' + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378' + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539' + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698' + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852' + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003' + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715' + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294' + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434' + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757' + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703' + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832' + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957' + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079' + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196' + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311' + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421' + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528' + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631' + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873' + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826' + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918' + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006' + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909' + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171' + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248' + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321' + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391' + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456' + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518' + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577' + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631' + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682' + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729' + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772' + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812' + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848' + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988' + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908' + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932' + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953' + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997' + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983' + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992' + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998' +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) +const uint64_t twiddleCoefF64_rfft_2048[2048] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) +const uint64_t twiddleCoefF64_rfft_4096[4096] = { + 0x0000000000000000, 0x3ff0000000000000, // 0, 1 + 0x3f5921faaee6472d, 0x3feffffd88586ee6, // 0.001534, 1 + 0x3f6921f8becca4ba, 0x3feffff621621d02, // 0.003068, 1 + 0x3f72d97822f996bc, 0x3fefffe9cb1e2e8d, //0.0046019, 0.99999 + 0x3f7921f0fe670071, 0x3fefffd8858e8a92, //0.0061359, 0.99998 + 0x3f7f6a65f9a2a3c5, 0x3fefffc250b5daef, //0.0076698, 0.99997 + 0x3f82d96b0e509703, 0x3fefffa72c978c4f, //0.0092038, 0.99996 + 0x3f85fda037ac05e0, 0x3fefff871937ce2f, // 0.010738, 0.99994 + 0x3f8921d1fcdec784, 0x3fefff62169b92db, // 0.012272, 0.99992 + 0x3f8c45ffe1e48ad9, 0x3fefff3824c88f6f, // 0.013805, 0.9999 + 0x3f8f6a296ab997ca, 0x3fefff0943c53bd1, // 0.015339, 0.99988 + 0x3f9147270dad7132, 0x3feffed57398d2b7, // 0.016873, 0.99986 + 0x3f92d936bbe30efd, 0x3feffe9cb44b51a1, // 0.018407, 0.99983 + 0x3f946b4381fce81c, 0x3feffe5f05e578db, // 0.01994, 0.9998 + 0x3f95fd4d21fab226, 0x3feffe1c6870cb77, // 0.021474, 0.99977 + 0x3f978f535ddc9f03, 0x3feffdd4dbf78f52, // 0.023008, 0.99974 + 0x3f992155f7a3667e, 0x3feffd886084cd0d, // 0.024541, 0.9997 + 0x3f9ab354b1504fca, 0x3feffd36f624500c, // 0.026075, 0.99966 + 0x3f9c454f4ce53b1c, 0x3feffce09ce2a679, // 0.027608, 0.99962 + 0x3f9dd7458c64ab39, 0x3feffc8554cd213a, // 0.029142, 0.99958 + 0x3f9f693731d1cf01, 0x3feffc251df1d3f8, // 0.030675, 0.99953 + 0x3fa07d91ff984580, 0x3feffbbff85f9515, // 0.032208, 0.99948 + 0x3fa14685db42c17e, 0x3feffb55e425fdae, // 0.033741, 0.99943 + 0x3fa20f770ceb11c6, 0x3feffae6e1556998, // 0.035274, 0.99938 + 0x3fa2d865759455cd, 0x3feffa72effef75d, // 0.036807, 0.99932 + 0x3fa3a150f6421afc, 0x3feff9fa10348837, // 0.03834, 0.99926 + 0x3fa46a396ff86179, 0x3feff97c4208c014, // 0.039873, 0.9992 + 0x3fa5331ec3bba0eb, 0x3feff8f9858f058b, // 0.041406, 0.99914 + 0x3fa5fc00d290cd43, 0x3feff871dadb81df, // 0.042938, 0.99908 + 0x3fa6c4df7d7d5b84, 0x3feff7e5420320f9, // 0.044471, 0.99901 + 0x3fa78dbaa5874685, 0x3feff753bb1b9164, // 0.046003, 0.99894 + 0x3fa856922bb513c1, 0x3feff6bd463b444d, // 0.047535, 0.99887 + 0x3fa91f65f10dd814, 0x3feff621e3796d7e, // 0.049068, 0.9988 + 0x3fa9e835d6993c87, 0x3feff58192ee0358, // 0.0506, 0.99872 + 0x3faab101bd5f8317, 0x3feff4dc54b1bed3, // 0.052132, 0.99864 + 0x3fab79c986698b78, 0x3feff43228de1b77, // 0.053664, 0.99856 + 0x3fac428d12c0d7e3, 0x3feff3830f8d575c, // 0.055195, 0.99848 + 0x3fad0b4c436f91d0, 0x3feff2cf08da7321, // 0.056727, 0.99839 + 0x3fadd406f9808ec8, 0x3feff21614e131ed, // 0.058258, 0.9983 + 0x3fae9cbd15ff5527, 0x3feff15833be1965, // 0.05979, 0.99821 + 0x3faf656e79f820e0, 0x3feff095658e71ad, // 0.061321, 0.99812 + 0x3fb0170d833bf421, 0x3fefefcdaa704562, // 0.062852, 0.99802 + 0x3fb07b614e463064, 0x3fefef0102826191, // 0.064383, 0.99793 + 0x3fb0dfb28ea201e6, 0x3fefee2f6de455ba, // 0.065913, 0.99783 + 0x3fb1440134d709b2, 0x3fefed58ecb673c4, // 0.067444, 0.99772 + 0x3fb1a84d316d4f8a, 0x3fefec7d7f19cffc, // 0.068974, 0.99762 + 0x3fb20c9674ed444c, 0x3fefeb9d2530410f, // 0.070505, 0.99751 + 0x3fb270dcefdfc45b, 0x3fefeab7df1c6005, // 0.072035, 0.9974 + 0x3fb2d52092ce19f6, 0x3fefe9cdad01883a, // 0.073565, 0.99729 + 0x3fb339614e41ffa5, 0x3fefe8de8f03d75c, // 0.075094, 0.99718 + 0x3fb39d9f12c5a299, 0x3fefe7ea85482d60, // 0.076624, 0.99706 + 0x3fb401d9d0e3a507, 0x3fefe6f18ff42c84, // 0.078153, 0.99694 + 0x3fb4661179272096, 0x3fefe5f3af2e3940, // 0.079682, 0.99682 + 0x3fb4ca45fc1ba8b6, 0x3fefe4f0e31d7a4a, // 0.081211, 0.9967 + 0x3fb52e774a4d4d0a, 0x3fefe3e92be9d886, // 0.08274, 0.99657 + 0x3fb592a554489bc8, 0x3fefe2dc89bbff08, // 0.084269, 0.99644 + 0x3fb5f6d00a9aa419, 0x3fefe1cafcbd5b09, // 0.085797, 0.99631 + 0x3fb65af75dd0f87b, 0x3fefe0b485181be3, // 0.087326, 0.99618 + 0x3fb6bf1b3e79b129, 0x3fefdf9922f73307, // 0.088854, 0.99604 + 0x3fb7233b9d236e71, 0x3fefde78d68653fd, // 0.090381, 0.99591 + 0x3fb787586a5d5b21, 0x3fefdd539ff1f456, // 0.091909, 0.99577 + 0x3fb7eb7196b72ee4, 0x3fefdc297f674ba9, // 0.093436, 0.99563 + 0x3fb84f8712c130a0, 0x3fefdafa7514538c, // 0.094963, 0.99548 + 0x3fb8b398cf0c38e0, 0x3fefd9c68127c78c, // 0.09649, 0.99533 + 0x3fb917a6bc29b42c, 0x3fefd88da3d12526, // 0.098017, 0.99518 + 0x3fb97bb0caaba56f, 0x3fefd74fdd40abbf, // 0.099544, 0.99503 + 0x3fb9dfb6eb24a85c, 0x3fefd60d2da75c9e, // 0.10107, 0.99488 + 0x3fba43b90e27f3c4, 0x3fefd4c59536fae4, // 0.1026, 0.99472 + 0x3fbaa7b724495c04, 0x3fefd37914220b84, // 0.10412, 0.99456 + 0x3fbb0bb11e1d5559, 0x3fefd227aa9bd53b, // 0.10565, 0.9944 + 0x3fbb6fa6ec38f64c, 0x3fefd0d158d86087, // 0.10717, 0.99424 + 0x3fbbd3987f31fa0e, 0x3fefcf761f0c77a3, // 0.1087, 0.99407 + 0x3fbc3785c79ec2d5, 0x3fefce15fd6da67b, // 0.11022, 0.99391 + 0x3fbc9b6eb6165c42, 0x3fefccb0f4323aa3, // 0.11175, 0.99374 + 0x3fbcff533b307dc1, 0x3fefcb4703914354, // 0.11327, 0.99356 + 0x3fbd633347858ce4, 0x3fefc9d82bc2915e, // 0.11479, 0.99339 + 0x3fbdc70ecbae9fc8, 0x3fefc8646cfeb721, // 0.11632, 0.99321 + 0x3fbe2ae5b8457f77, 0x3fefc6ebc77f0887, // 0.11784, 0.99303 + 0x3fbe8eb7fde4aa3e, 0x3fefc56e3b7d9af6, // 0.11937, 0.99285 + 0x3fbef2858d27561b, 0x3fefc3ebc935454c, // 0.12089, 0.99267 + 0x3fbf564e56a9730e, 0x3fefc26470e19fd3, // 0.12241, 0.99248 + 0x3fbfba124b07ad85, 0x3fefc0d832bf043a, // 0.12393, 0.99229 + 0x3fc00ee8ad6fb85b, 0x3fefbf470f0a8d88, // 0.12545, 0.9921 + 0x3fc040c5bb67747e, 0x3fefbdb106021816, // 0.12698, 0.99191 + 0x3fc072a047ba831d, 0x3fefbc1617e44186, // 0.1285, 0.99171 + 0x3fc0a4784ab8bf1d, 0x3fefba7644f068b5, // 0.13002, 0.99151 + 0x3fc0d64dbcb26786, 0x3fefb8d18d66adb7, // 0.13154, 0.99131 + 0x3fc1082095f820b0, 0x3fefb727f187f1c7, // 0.13306, 0.99111 + 0x3fc139f0cedaf576, 0x3fefb5797195d741, // 0.13458, 0.9909 + 0x3fc16bbe5fac5865, 0x3fefb3c60dd2c199, // 0.1361, 0.9907 + 0x3fc19d8940be24e7, 0x3fefb20dc681d54d, // 0.13762, 0.99049 + 0x3fc1cf516a62a077, 0x3fefb0509be6f7db, // 0.13914, 0.99027 + 0x3fc20116d4ec7bce, 0x3fefae8e8e46cfbb, // 0.14066, 0.99006 + 0x3fc232d978aed413, 0x3fefacc79de6c44f, // 0.14218, 0.98984 + 0x3fc264994dfd340a, 0x3fefaafbcb0cfddc, // 0.1437, 0.98962 + 0x3fc296564d2b953e, 0x3fefa92b1600657c, // 0.14521, 0.9894 + 0x3fc2c8106e8e613a, 0x3fefa7557f08a517, // 0.14673, 0.98918 + 0x3fc2f9c7aa7a72af, 0x3fefa57b066e2754, // 0.14825, 0.98895 + 0x3fc32b7bf94516a7, 0x3fefa39bac7a1791, // 0.14976, 0.98872 + 0x3fc35d2d53440db2, 0x3fefa1b7717661d5, // 0.15128, 0.98849 + 0x3fc38edbb0cd8d14, 0x3fef9fce55adb2c8, // 0.1528, 0.98826 + 0x3fc3c0870a383ff6, 0x3fef9de0596b77a3, // 0.15431, 0.98802 + 0x3fc3f22f57db4893, 0x3fef9bed7cfbde29, // 0.15583, 0.98778 + 0x3fc423d4920e4166, 0x3fef99f5c0abd496, // 0.15734, 0.98754 + 0x3fc45576b1293e5a, 0x3fef97f924c9099b, // 0.15886, 0.9873 + 0x3fc48715ad84cdf5, 0x3fef95f7a9a1ec47, // 0.16037, 0.98706 + 0x3fc4b8b17f79fa88, 0x3fef93f14f85ac08, // 0.16189, 0.98681 + 0x3fc4ea4a1f624b61, 0x3fef91e616c43891, // 0.1634, 0.98656 + 0x3fc51bdf8597c5f2, 0x3fef8fd5ffae41db, // 0.16491, 0.98631 + 0x3fc54d71aa74ef02, 0x3fef8dc10a95380d, // 0.16643, 0.98605 + 0x3fc57f008654cbde, 0x3fef8ba737cb4b78, // 0.16794, 0.9858 + 0x3fc5b08c1192e381, 0x3fef898887a36c84, // 0.16945, 0.98554 + 0x3fc5e214448b3fc6, 0x3fef8764fa714ba9, // 0.17096, 0.98528 + 0x3fc61399179a6e94, 0x3fef853c9089595e, // 0.17247, 0.98501 + 0x3fc6451a831d830d, 0x3fef830f4a40c60c, // 0.17398, 0.98475 + 0x3fc676987f7216b8, 0x3fef80dd27ed8204, // 0.17549, 0.98448 + 0x3fc6a81304f64ab2, 0x3fef7ea629e63d6e, // 0.177, 0.98421 + 0x3fc6d98a0c08c8da, 0x3fef7c6a50826840, // 0.17851, 0.98394 + 0x3fc70afd8d08c4ff, 0x3fef7a299c1a322a, // 0.18002, 0.98366 + 0x3fc73c6d8055fe0a, 0x3fef77e40d068a90, // 0.18153, 0.98339 + 0x3fc76dd9de50bf31, 0x3fef7599a3a12077, // 0.18304, 0.98311 + 0x3fc79f429f59e11d, 0x3fef734a60446279, // 0.18455, 0.98282 + 0x3fc7d0a7bbd2cb1b, 0x3fef70f6434b7eb7, // 0.18606, 0.98254 + 0x3fc802092c1d744b, 0x3fef6e9d4d1262ca, // 0.18756, 0.98225 + 0x3fc83366e89c64c5, 0x3fef6c3f7df5bbb7, // 0.18907, 0.98196 + 0x3fc864c0e9b2b6cf, 0x3fef69dcd652f5de, // 0.19057, 0.98167 + 0x3fc8961727c41804, 0x3fef677556883cee, // 0.19208, 0.98138 + 0x3fc8c7699b34ca7e, 0x3fef6508fef47bd5, // 0.19359, 0.98108 + 0x3fc8f8b83c69a60a, 0x3fef6297cff75cb0, // 0.19509, 0.98079 + 0x3fc92a0303c8194f, 0x3fef6021c9f148c2, // 0.19659, 0.98048 + 0x3fc95b49e9b62af9, 0x3fef5da6ed43685d, // 0.1981, 0.98018 + 0x3fc98c8ce69a7aec, 0x3fef5b273a4fa2d9, // 0.1996, 0.97988 + 0x3fc9bdcbf2dc4366, 0x3fef58a2b1789e84, // 0.2011, 0.97957 + 0x3fc9ef0706e35a35, 0x3fef56195321c090, // 0.20261, 0.97926 + 0x3fca203e1b1831da, 0x3fef538b1faf2d07, // 0.20411, 0.97895 + 0x3fca517127e3dabc, 0x3fef50f81785c6b9, // 0.20561, 0.97863 + 0x3fca82a025b00451, 0x3fef4e603b0b2f2d, // 0.20711, 0.97832 + 0x3fcab3cb0ce6fe44, 0x3fef4bc38aa5c694, // 0.20861, 0.978 + 0x3fcae4f1d5f3b9ab, 0x3fef492206bcabb4, // 0.21011, 0.97768 + 0x3fcb16147941ca2a, 0x3fef467bafb7bbe0, // 0.21161, 0.97735 + 0x3fcb4732ef3d6722, 0x3fef43d085ff92dd, // 0.21311, 0.97703 + 0x3fcb784d30536cda, 0x3fef412089fd8adc, // 0.21461, 0.9767 + 0x3fcba96334f15dad, 0x3fef3e6bbc1bbc65, // 0.21611, 0.97637 + 0x3fcbda74f5856330, 0x3fef3bb21cc4fe47, // 0.2176, 0.97604 + 0x3fcc0b826a7e4f63, 0x3fef38f3ac64e589, // 0.2191, 0.9757 + 0x3fcc3c8b8c4b9dd7, 0x3fef36306b67c556, // 0.2206, 0.97536 + 0x3fcc6d90535d74dc, 0x3fef33685a3aaef0, // 0.22209, 0.97503 + 0x3fcc9e90b824a6a9, 0x3fef309b794b719f, // 0.22359, 0.97468 + 0x3fcccf8cb312b286, 0x3fef2dc9c9089a9d, // 0.22508, 0.97434 + 0x3fcd00843c99c5f9, 0x3fef2af349e17507, // 0.22658, 0.97399 + 0x3fcd31774d2cbdee, 0x3fef2817fc4609ce, // 0.22807, 0.97364 + 0x3fcd6265dd3f27e3, 0x3fef2537e0a71f9f, // 0.22957, 0.97329 + 0x3fcd934fe5454311, 0x3fef2252f7763ada, // 0.23106, 0.97294 + 0x3fcdc4355db40195, 0x3fef1f6941259d7a, // 0.23255, 0.97258 + 0x3fcdf5163f01099a, 0x3fef1c7abe284708, // 0.23404, 0.97223 + 0x3fce25f281a2b684, 0x3fef19876ef1f486, // 0.23553, 0.97187 + 0x3fce56ca1e101a1b, 0x3fef168f53f7205d, // 0.23702, 0.9715 + 0x3fce879d0cc0fdaf, 0x3fef13926dad024e, // 0.23851, 0.97114 + 0x3fceb86b462de348, 0x3fef1090bc898f5f, // 0.24, 0.97077 + 0x3fcee934c2d006c7, 0x3fef0d8a410379c5, // 0.24149, 0.9704 + 0x3fcf19f97b215f1a, 0x3fef0a7efb9230d7, // 0.24298, 0.97003 + 0x3fcf4ab9679c9f5c, 0x3fef076eecade0fa, // 0.24447, 0.96966 + 0x3fcf7b7480bd3801, 0x3fef045a14cf738c, // 0.24596, 0.96928 + 0x3fcfac2abeff57ff, 0x3fef014074708ed3, // 0.24744, 0.9689 + 0x3fcfdcdc1adfedf8, 0x3feefe220c0b95ec, // 0.24893, 0.96852 + 0x3fd006c4466e54af, 0x3feefafedc1ba8b7, // 0.25041, 0.96814 + 0x3fd01f1806b9fdd2, 0x3feef7d6e51ca3c0, // 0.2519, 0.96775 + 0x3fd037694a928cac, 0x3feef4aa278b2032, // 0.25338, 0.96737 + 0x3fd04fb80e37fdae, 0x3feef178a3e473c2, // 0.25487, 0.96698 + 0x3fd068044deab002, 0x3feeee425aa6b09a, // 0.25635, 0.96658 + 0x3fd0804e05eb661e, 0x3feeeb074c50a544, // 0.25783, 0.96619 + 0x3fd09895327b465e, 0x3feee7c77961dc9e, // 0.25931, 0.96579 + 0x3fd0b0d9cfdbdb90, 0x3feee482e25a9dbc, // 0.26079, 0.96539 + 0x3fd0c91bda4f158d, 0x3feee13987bbebdc, // 0.26227, 0.96499 + 0x3fd0e15b4e1749cd, 0x3feeddeb6a078651, // 0.26375, 0.96459 + 0x3fd0f998277733f7, 0x3feeda9889bfe86a, // 0.26523, 0.96418 + 0x3fd111d262b1f677, 0x3feed740e7684963, // 0.26671, 0.96378 + 0x3fd12a09fc0b1b12, 0x3feed3e483849c51, // 0.26819, 0.96337 + 0x3fd1423eefc69378, 0x3feed0835e999009, // 0.26967, 0.96295 + 0x3fd15a713a28b9d9, 0x3feecd1d792c8f10, // 0.27115, 0.96254 + 0x3fd172a0d7765177, 0x3feec9b2d3c3bf84, // 0.27262, 0.96212 + 0x3fd18acdc3f4873a, 0x3feec6436ee60309, // 0.2741, 0.9617 + 0x3fd1a2f7fbe8f243, 0x3feec2cf4b1af6b2, // 0.27557, 0.96128 + 0x3fd1bb1f7b999480, 0x3feebf5668eaf2ef, // 0.27705, 0.96086 + 0x3fd1d3443f4cdb3d, 0x3feebbd8c8df0b74, // 0.27852, 0.96043 + 0x3fd1eb6643499fbb, 0x3feeb8566b810f2a, // 0.27999, 0.96 + 0x3fd2038583d727bd, 0x3feeb4cf515b8811, // 0.28146, 0.95957 + 0x3fd21ba1fd3d2623, 0x3feeb1437af9bb34, // 0.28294, 0.95914 + 0x3fd233bbabc3bb72, 0x3feeadb2e8e7a88e, // 0.28441, 0.9587 + 0x3fd24bd28bb37672, 0x3feeaa1d9bb20af3, // 0.28588, 0.95827 + 0x3fd263e6995554ba, 0x3feea68393e65800, // 0.28735, 0.95783 + 0x3fd27bf7d0f2c346, 0x3feea2e4d212c000, // 0.28882, 0.95738 + 0x3fd294062ed59f05, 0x3fee9f4156c62dda, // 0.29028, 0.95694 + 0x3fd2ac11af483572, 0x3fee9b99229046f8, // 0.29175, 0.95649 + 0x3fd2c41a4e954520, 0x3fee97ec36016b30, // 0.29322, 0.95605 + 0x3fd2dc200907fe51, 0x3fee943a91aab4b4, // 0.29469, 0.95559 + 0x3fd2f422daec0386, 0x3fee9084361df7f3, // 0.29615, 0.95514 + 0x3fd30c22c08d6a13, 0x3fee8cc923edc388, // 0.29762, 0.95469 + 0x3fd3241fb638baaf, 0x3fee89095bad6025, // 0.29908, 0.95423 + 0x3fd33c19b83af207, 0x3fee8544ddf0d075, // 0.30054, 0.95377 + 0x3fd35410c2e18152, 0x3fee817bab4cd10d, // 0.30201, 0.95331 + 0x3fd36c04d27a4edf, 0x3fee7dadc456d850, // 0.30347, 0.95284 + 0x3fd383f5e353b6aa, 0x3fee79db29a5165a, // 0.30493, 0.95238 + 0x3fd39be3f1bc8aef, 0x3fee7603dbce74e9, // 0.30639, 0.95191 + 0x3fd3b3cefa0414b7, 0x3fee7227db6a9744, // 0.30785, 0.95144 + 0x3fd3cbb6f87a146e, 0x3fee6e472911da27, // 0.30931, 0.95096 + 0x3fd3e39be96ec271, 0x3fee6a61c55d53a7, // 0.31077, 0.95049 + 0x3fd3fb7dc932cfa4, 0x3fee6677b0e6d31e, // 0.31222, 0.95001 + 0x3fd4135c94176602, 0x3fee6288ec48e112, // 0.31368, 0.94953 + 0x3fd42b38466e2928, 0x3fee5e95781ebf1c, // 0.31514, 0.94905 + 0x3fd44310dc8936f0, 0x3fee5a9d550467d3, // 0.31659, 0.94856 + 0x3fd45ae652bb2800, 0x3fee56a083968eb1, // 0.31805, 0.94807 + 0x3fd472b8a5571054, 0x3fee529f04729ffc, // 0.3195, 0.94759 + 0x3fd48a87d0b07fd7, 0x3fee4e98d836c0af, // 0.32096, 0.94709 + 0x3fd4a253d11b82f3, 0x3fee4a8dff81ce5e, // 0.32241, 0.9466 + 0x3fd4ba1ca2eca31c, 0x3fee467e7af35f23, // 0.32386, 0.94611 + 0x3fd4d1e24278e76a, 0x3fee426a4b2bc17e, // 0.32531, 0.94561 + 0x3fd4e9a4ac15d520, 0x3fee3e5170cbfc46, // 0.32676, 0.94511 + 0x3fd50163dc197047, 0x3fee3a33ec75ce85, // 0.32821, 0.9446 + 0x3fd5191fceda3c35, 0x3fee3611becbaf69, // 0.32966, 0.9441 + 0x3fd530d880af3c24, 0x3fee31eae870ce25, // 0.33111, 0.94359 + 0x3fd5488dedeff3be, 0x3fee2dbf6a0911d9, // 0.33255, 0.94308 + 0x3fd5604012f467b4, 0x3fee298f4439197a, // 0.334, 0.94257 + 0x3fd577eeec151e47, 0x3fee255a77a63bb8, // 0.33545, 0.94206 + 0x3fd58f9a75ab1fdd, 0x3fee212104f686e5, // 0.33689, 0.94154 + 0x3fd5a742ac0ff78d, 0x3fee1ce2ecd0c0d8, // 0.33833, 0.94103 + 0x3fd5bee78b9db3b6, 0x3fee18a02fdc66d9, // 0.33978, 0.94051 + 0x3fd5d68910aee686, 0x3fee1458cec1ad83, // 0.34122, 0.93998 + 0x3fd5ee27379ea693, 0x3fee100cca2980ac, // 0.34266, 0.93946 + 0x3fd605c1fcc88f63, 0x3fee0bbc22bd8349, // 0.3441, 0.93893 + 0x3fd61d595c88c203, 0x3fee0766d9280f54, // 0.34554, 0.9384 + 0x3fd634ed533be58e, 0x3fee030cee1435b8, // 0.34698, 0.93787 + 0x3fd64c7ddd3f27c6, 0x3fedfeae622dbe2b, // 0.34842, 0.93734 + 0x3fd6640af6f03d9e, 0x3fedfa4b3621271d, // 0.34986, 0.9368 + 0x3fd67b949cad63ca, 0x3fedf5e36a9ba59c, // 0.35129, 0.93627 + 0x3fd6931acad55f51, 0x3fedf177004b2534, // 0.35273, 0.93573 + 0x3fd6aa9d7dc77e16, 0x3feded05f7de47da, // 0.35416, 0.93518 + 0x3fd6c21cb1e39771, 0x3fede890520465ce, // 0.3556, 0.93464 + 0x3fd6d998638a0cb5, 0x3fede4160f6d8d81, // 0.35703, 0.93409 + 0x3fd6f1108f1bc9c5, 0x3feddf9730ca837b, // 0.35846, 0.93354 + 0x3fd7088530fa459e, 0x3feddb13b6ccc23d, // 0.3599, 0.93299 + 0x3fd71ff6458782ec, 0x3fedd68ba2267a25, // 0.36133, 0.93244 + 0x3fd73763c9261092, 0x3fedd1fef38a915a, // 0.36276, 0.93188 + 0x3fd74ecdb8390a3e, 0x3fedcd6dabaca3a5, // 0.36418, 0.93133 + 0x3fd766340f2418f6, 0x3fedc8d7cb410260, // 0.36561, 0.93077 + 0x3fd77d96ca4b73a6, 0x3fedc43d52fcb453, // 0.36704, 0.93021 + 0x3fd794f5e613dfae, 0x3fedbf9e4395759a, // 0.36847, 0.92964 + 0x3fd7ac515ee2b172, 0x3fedbafa9dc1b78d, // 0.36989, 0.92907 + 0x3fd7c3a9311dcce7, 0x3fedb6526238a09b, // 0.37132, 0.92851 + 0x3fd7dafd592ba621, 0x3fedb1a591b20c38, // 0.37274, 0.92794 + 0x3fd7f24dd37341e3, 0x3fedacf42ce68ab9, // 0.37416, 0.92736 + 0x3fd8099a9c5c362d, 0x3feda83e348f613b, // 0.37559, 0.92679 + 0x3fd820e3b04eaac4, 0x3feda383a9668988, // 0.37701, 0.92621 + 0x3fd838290bb359c8, 0x3fed9ec48c26b1f3, // 0.37843, 0.92563 + 0x3fd84f6aaaf3903f, 0x3fed9a00dd8b3d46, // 0.37985, 0.92505 + 0x3fd866a88a792ea0, 0x3fed95389e50429b, // 0.38127, 0.92447 + 0x3fd87de2a6aea963, 0x3fed906bcf328d46, // 0.38268, 0.92388 + 0x3fd89518fbff098e, 0x3fed8b9a70ef9cb4, // 0.3841, 0.92329 + 0x3fd8ac4b86d5ed44, 0x3fed86c48445a450, // 0.38552, 0.9227 + 0x3fd8c37a439f884f, 0x3fed81ea09f38b63, // 0.38693, 0.92211 + 0x3fd8daa52ec8a4af, 0x3fed7d0b02b8ecf9, // 0.38835, 0.92151 + 0x3fd8f1cc44bea329, 0x3fed78276f5617c6, // 0.38976, 0.92092 + 0x3fd908ef81ef7bd1, 0x3fed733f508c0dff, // 0.39117, 0.92032 + 0x3fd9200ee2c9be97, 0x3fed6e52a71c8547, // 0.39258, 0.91972 + 0x3fd9372a63bc93d7, 0x3fed696173c9e68b, // 0.39399, 0.91911 + 0x3fd94e420137bce3, 0x3fed646bb7574de5, // 0.3954, 0.91851 + 0x3fd96555b7ab948f, 0x3fed5f7172888a7f, // 0.39681, 0.9179 + 0x3fd97c6583890fc2, 0x3fed5a72a6221e73, // 0.39822, 0.91729 + 0x3fd993716141bdfe, 0x3fed556f52e93eb1, // 0.39962, 0.91668 + 0x3fd9aa794d47c9ee, 0x3fed506779a3d2d9, // 0.40103, 0.91606 + 0x3fd9c17d440df9f2, 0x3fed4b5b1b187524, // 0.40243, 0.91545 + 0x3fd9d87d4207b0ab, 0x3fed464a380e7242, // 0.40384, 0.91483 + 0x3fd9ef7943a8ed8a, 0x3fed4134d14dc93a, // 0.40524, 0.91421 + 0x3fda067145664d57, 0x3fed3c1ae79f2b4e, // 0.40664, 0.91359 + 0x3fda1d6543b50ac0, 0x3fed36fc7bcbfbdc, // 0.40804, 0.91296 + 0x3fda34553b0afee5, 0x3fed31d98e9e503a, // 0.40944, 0.91234 + 0x3fda4b4127dea1e4, 0x3fed2cb220e0ef9f, // 0.41084, 0.91171 + 0x3fda622906a70b63, 0x3fed2786335f52fc, // 0.41224, 0.91107 + 0x3fda790cd3dbf31a, 0x3fed2255c6e5a4e1, // 0.41364, 0.91044 + 0x3fda8fec8bf5b166, 0x3fed1d20dc40c15c, // 0.41503, 0.90981 + 0x3fdaa6c82b6d3fc9, 0x3fed17e7743e35dc, // 0.41643, 0.90917 + 0x3fdabd9faebc3980, 0x3fed12a98fac410c, // 0.41782, 0.90853 + 0x3fdad473125cdc08, 0x3fed0d672f59d2b9, // 0.41922, 0.90789 + 0x3fdaeb4252ca07ab, 0x3fed082054168bac, // 0.42061, 0.90724 + 0x3fdb020d6c7f4009, 0x3fed02d4feb2bd92, // 0.422, 0.9066 + 0x3fdb18d45bf8aca6, 0x3fecfd852fff6ad4, // 0.42339, 0.90595 + 0x3fdb2f971db31972, 0x3fecf830e8ce467b, // 0.42478, 0.9053 + 0x3fdb4655ae2bf757, 0x3fecf2d829f1b40e, // 0.42617, 0.90464 + 0x3fdb5d1009e15cc0, 0x3feced7af43cc773, // 0.42756, 0.90399 + 0x3fdb73c62d520624, 0x3fece819488344ce, // 0.42894, 0.90333 + 0x3fdb8a7814fd5693, 0x3fece2b32799a060, // 0.43033, 0.90267 + 0x3fdba125bd63583e, 0x3fecdd489254fe65, // 0.43171, 0.90201 + 0x3fdbb7cf2304bd01, 0x3fecd7d9898b32f6, // 0.43309, 0.90135 + 0x3fdbce744262deee, 0x3fecd2660e12c1e6, // 0.43448, 0.90068 + 0x3fdbe51517ffc0d9, 0x3fecccee20c2de9f, // 0.43586, 0.90002 + 0x3fdbfbb1a05e0edc, 0x3fecc771c2736c09, // 0.43724, 0.89935 + 0x3fdc1249d8011ee7, 0x3fecc1f0f3fcfc5c, // 0.43862, 0.89867 + 0x3fdc28ddbb6cf145, 0x3fecbc6bb638d10b, // 0.43999, 0.898 + 0x3fdc3f6d47263129, 0x3fecb6e20a00da99, // 0.44137, 0.89732 + 0x3fdc55f877b23537, 0x3fecb153f02fb87d, // 0.44275, 0.89665 + 0x3fdc6c7f4997000a, 0x3fecabc169a0b901, // 0.44412, 0.89597 + 0x3fdc8301b95b40c2, 0x3feca62a772fd919, // 0.4455, 0.89528 + 0x3fdc997fc3865388, 0x3feca08f19b9c449, // 0.44687, 0.8946 + 0x3fdcaff964a0421d, 0x3fec9aef521bd480, // 0.44824, 0.89391 + 0x3fdcc66e9931c45d, 0x3fec954b213411f5, // 0.44961, 0.89322 + 0x3fdcdcdf5dc440ce, 0x3fec8fa287e13305, // 0.45098, 0.89253 + 0x3fdcf34baee1cd21, 0x3fec89f587029c13, // 0.45235, 0.89184 + 0x3fdd09b389152ec1, 0x3fec84441f785f61, // 0.45372, 0.89115 + 0x3fdd2016e8e9db5b, 0x3fec7e8e52233cf3, // 0.45508, 0.89045 + 0x3fdd3675caebf962, 0x3fec78d41fe4a267, // 0.45645, 0.88975 + 0x3fdd4cd02ba8609c, 0x3fec7315899eaad7, // 0.45781, 0.88905 + 0x3fdd632607ac9aa9, 0x3fec6d5290341eb2, // 0.45918, 0.88835 + 0x3fdd79775b86e389, 0x3fec678b3488739b, // 0.46054, 0.88764 + 0x3fdd8fc423c62a25, 0x3fec61bf777fcc48, // 0.4619, 0.88693 + 0x3fdda60c5cfa10d8, 0x3fec5bef59fef85a, // 0.46326, 0.88622 + 0x3fddbc5003b2edf8, 0x3fec561adceb743e, // 0.46462, 0.88551 + 0x3fddd28f1481cc58, 0x3fec5042012b6907, // 0.46598, 0.8848 + 0x3fdde8c98bf86bd6, 0x3fec4a64c7a5ac4c, // 0.46733, 0.88408 + 0x3fddfeff66a941de, 0x3fec44833141c004, // 0.46869, 0.88336 + 0x3fde1530a12779f4, 0x3fec3e9d3ee7d262, // 0.47004, 0.88264 + 0x3fde2b5d3806f63b, 0x3fec38b2f180bdb1, // 0.4714, 0.88192 + 0x3fde418527dc4ffa, 0x3fec32c449f60831, // 0.47275, 0.8812 + 0x3fde57a86d3cd824, 0x3fec2cd14931e3f1, // 0.4741, 0.88047 + 0x3fde6dc704be97e2, 0x3fec26d9f01f2eaf, // 0.47545, 0.87974 + 0x3fde83e0eaf85113, 0x3fec20de3fa971b0, // 0.4768, 0.87901 + 0x3fde99f61c817eda, 0x3fec1ade38bce19b, // 0.47815, 0.87828 + 0x3fdeb00695f25620, 0x3fec14d9dc465e58, // 0.47949, 0.87755 + 0x3fdec61253e3c61b, 0x3fec0ed12b3372e9, // 0.48084, 0.87681 + 0x3fdedc1952ef78d5, 0x3fec08c426725549, // 0.48218, 0.87607 + 0x3fdef21b8fafd3b5, 0x3fec02b2cef1e641, // 0.48353, 0.87533 + 0x3fdf081906bff7fd, 0x3febfc9d25a1b147, // 0.48487, 0.87459 + 0x3fdf1e11b4bbc35c, 0x3febf6832b71ec5b, // 0.48621, 0.87384 + 0x3fdf3405963fd068, 0x3febf064e15377dd, // 0.48755, 0.87309 + 0x3fdf49f4a7e97729, 0x3febea424837de6d, // 0.48889, 0.87235 + 0x3fdf5fdee656cda3, 0x3febe41b611154c1, // 0.49023, 0.8716 + 0x3fdf75c44e26a852, 0x3febddf02cd2b983, // 0.49156, 0.87084 + 0x3fdf8ba4dbf89aba, 0x3febd7c0ac6f952a, // 0.4929, 0.87009 + 0x3fdfa1808c6cf7e0, 0x3febd18ce0dc19d6, // 0.49423, 0.86933 + 0x3fdfb7575c24d2de, 0x3febcb54cb0d2327, // 0.49557, 0.86857 + 0x3fdfcd2947c1ff57, 0x3febc5186bf8361d, // 0.4969, 0.86781 + 0x3fdfe2f64be7120f, 0x3febbed7c49380ea, // 0.49823, 0.86705 + 0x3fdff8be6537615e, 0x3febb892d5d5dad5, // 0.49956, 0.86628 + 0x3fe00740c82b82e0, 0x3febb249a0b6c40d, // 0.50089, 0.86551 + 0x3fe0121fe4f56d2c, 0x3febabfc262e6586, // 0.50221, 0.86474 + 0x3fe01cfc874c3eb7, 0x3feba5aa673590d2, // 0.50354, 0.86397 + 0x3fe027d6ad83287e, 0x3feb9f5464c5bffc, // 0.50486, 0.8632 + 0x3fe032ae55edbd95, 0x3feb98fa1fd9155e, // 0.50619, 0.86242 + 0x3fe03d837edff370, 0x3feb929b996a5b7f, // 0.50751, 0.86165 + 0x3fe0485626ae221a, 0x3feb8c38d27504e9, // 0.50883, 0.86087 + 0x3fe053264bad0483, 0x3feb85d1cbf52c02, // 0.51015, 0.86009 + 0x3fe05df3ec31b8b6, 0x3feb7f6686e792ea, // 0.51147, 0.8593 + 0x3fe068bf0691c028, 0x3feb78f70449a34b, // 0.51279, 0.85852 + 0x3fe073879922ffed, 0x3feb728345196e3e, // 0.5141, 0.85773 + 0x3fe07e4da23bc102, 0x3feb6c0b4a55ac17, // 0.51542, 0.85694 + 0x3fe089112032b08c, 0x3feb658f14fdbc47, // 0.51673, 0.85615 + 0x3fe093d2115ee018, 0x3feb5f0ea611a532, // 0.51804, 0.85535 + 0x3fe09e907417c5e1, 0x3feb5889fe921405, // 0.51936, 0.85456 + 0x3fe0a94c46b53d0b, 0x3feb52011f805c92, // 0.52067, 0.85376 + 0x3fe0b405878f85ec, 0x3feb4b7409de7925, // 0.52198, 0.85296 + 0x3fe0bebc34ff4646, 0x3feb44e2beaf0a61, // 0.52328, 0.85216 + 0x3fe0c9704d5d898f, 0x3feb3e4d3ef55712, // 0.52459, 0.85136 + 0x3fe0d421cf03c12b, 0x3feb37b38bb54c09, // 0.5259, 0.85055 + 0x3fe0ded0b84bc4b5, 0x3feb3115a5f37bf4, // 0.5272, 0.84974 + 0x3fe0e97d078fd23b, 0x3feb2a738eb51f33, // 0.5285, 0.84893 + 0x3fe0f426bb2a8e7d, 0x3feb23cd470013b4, // 0.5298, 0.84812 + 0x3fe0fecdd1770537, 0x3feb1d22cfdadcc6, // 0.5311, 0.84731 + 0x3fe1097248d0a956, 0x3feb16742a4ca2f5, // 0.5324, 0.84649 + 0x3fe114141f935545, 0x3feb0fc1575d33db, // 0.5337, 0.84567 + 0x3fe11eb3541b4b22, 0x3feb090a58150200, // 0.535, 0.84485 + 0x3fe1294fe4c5350a, 0x3feb024f2d7d24a9, // 0.53629, 0.84403 + 0x3fe133e9cfee254e, 0x3feafb8fd89f57b6, // 0.53759, 0.84321 + 0x3fe13e8113f396c1, 0x3feaf4cc5a85fb73, // 0.53888, 0.84238 + 0x3fe14915af336ceb, 0x3feaee04b43c1474, // 0.54017, 0.84155 + 0x3fe153a7a00bf453, 0x3feae738e6cd4b67, // 0.54146, 0.84073 + 0x3fe15e36e4dbe2bc, 0x3feae068f345ecef, // 0.54275, 0.83989 + 0x3fe168c37c025764, 0x3fead994dab2e979, // 0.54404, 0.83906 + 0x3fe1734d63dedb49, 0x3fead2bc9e21d511, // 0.54532, 0.83822 + 0x3fe17dd49ad16161, 0x3feacbe03ea0e73b, // 0.54661, 0.83739 + 0x3fe188591f3a46e5, 0x3feac4ffbd3efac8, // 0.54789, 0.83655 + 0x3fe192daef7a5386, 0x3feabe1b1b0b8dac, // 0.54918, 0.83571 + 0x3fe19d5a09f2b9b8, 0x3feab7325916c0d4, // 0.55046, 0.83486 + 0x3fe1a7d66d0516e6, 0x3feab045787157ff, // 0.55174, 0.83402 + 0x3fe1b250171373be, 0x3feaa9547a2cb98e, // 0.55302, 0.83317 + 0x3fe1bcc706804467, 0x3feaa25f5f5aee60, // 0.55429, 0.83232 + 0x3fe1c73b39ae68c8, 0x3fea9b66290ea1a3, // 0.55557, 0.83147 + 0x3fe1d1acaf012cc2, 0x3fea9468d85b20ae, // 0.55685, 0.83062 + 0x3fe1dc1b64dc4872, 0x3fea8d676e545ad2, // 0.55812, 0.82976 + 0x3fe1e68759a3e074, 0x3fea8661ec0ee133, // 0.55939, 0.8289 + 0x3fe1f0f08bbc861b, 0x3fea7f58529fe69d, // 0.56066, 0.82805 + 0x3fe1fb56f98b37b8, 0x3fea784aa31d3f55, // 0.56193, 0.82718 + 0x3fe205baa17560d6, 0x3fea7138de9d60f5, // 0.5632, 0.82632 + 0x3fe2101b81e0da78, 0x3fea6a230637623b, // 0.56447, 0.82546 + 0x3fe21a799933eb58, 0x3fea63091b02fae2, // 0.56573, 0.82459 + 0x3fe224d4e5d5482e, 0x3fea5beb1e188375, // 0.567, 0.82372 + 0x3fe22f2d662c13e1, 0x3fea54c91090f524, // 0.56826, 0.82285 + 0x3fe23983189fdfd5, 0x3fea4da2f385e997, // 0.56952, 0.82198 + 0x3fe243d5fb98ac1f, 0x3fea4678c8119ac8, // 0.57078, 0.8211 + 0x3fe24e260d7ee7c9, 0x3fea3f4a8f4ee2d2, // 0.57204, 0.82023 + 0x3fe258734cbb7110, 0x3fea38184a593bc6, // 0.5733, 0.81935 + 0x3fe262bdb7b795a2, 0x3fea30e1fa4cbf81, // 0.57455, 0.81847 + 0x3fe26d054cdd12df, 0x3fea29a7a0462782, // 0.57581, 0.81758 + 0x3fe2774a0a961612, 0x3fea22693d62ccb9, // 0.57706, 0.8167 + 0x3fe2818bef4d3cba, 0x3fea1b26d2c0a75e, // 0.57831, 0.81581 + 0x3fe28bcaf96d94ba, 0x3fea13e0617e4ec7, // 0.57956, 0.81493 + 0x3fe2960727629ca8, 0x3fea0c95eabaf937, // 0.58081, 0.81404 + 0x3fe2a040779843fb, 0x3fea05476f967bb5, // 0.58206, 0.81314 + 0x3fe2aa76e87aeb58, 0x3fe9fdf4f13149de, // 0.58331, 0.81225 + 0x3fe2b4aa787764c4, 0x3fe9f69e70ac75bc, // 0.58455, 0.81135 + 0x3fe2bedb25faf3ea, 0x3fe9ef43ef29af94, // 0.5858, 0.81046 + 0x3fe2c908ef734e57, 0x3fe9e7e56dcb45bd, // 0.58704, 0.80956 + 0x3fe2d333d34e9bb7, 0x3fe9e082edb42472, // 0.58828, 0.80866 + 0x3fe2dd5bcffb7616, 0x3fe9d91c7007d5a6, // 0.58952, 0.80775 + 0x3fe2e780e3e8ea16, 0x3fe9d1b1f5ea80d6, // 0.59076, 0.80685 + 0x3fe2f1a30d86773a, 0x3fe9ca438080eadb, // 0.592, 0.80594 + 0x3fe2fbc24b441015, 0x3fe9c2d110f075c3, // 0.59323, 0.80503 + 0x3fe305de9b921a94, 0x3fe9bb5aa85f2098, // 0.59447, 0.80412 + 0x3fe30ff7fce17035, 0x3fe9b3e047f38741, // 0.5957, 0.80321 + 0x3fe31a0e6da35e44, 0x3fe9ac61f0d4e247, // 0.59693, 0.80229 + 0x3fe32421ec49a620, 0x3fe9a4dfa42b06b2, // 0.59816, 0.80138 + 0x3fe32e3277467d6b, 0x3fe99d59631e65d5, // 0.59939, 0.80046 + 0x3fe338400d0c8e57, 0x3fe995cf2ed80d22, // 0.60062, 0.79954 + 0x3fe3424aac0ef7d6, 0x3fe98e410881a600, // 0.60184, 0.79861 + 0x3fe34c5252c14de1, 0x3fe986aef1457594, // 0.60307, 0.79769 + 0x3fe35656ff9799ae, 0x3fe97f18ea4e5c9e, // 0.60429, 0.79676 + 0x3fe36058b10659f3, 0x3fe9777ef4c7d742, // 0.60551, 0.79584 + 0x3fe36a576582831b, 0x3fe96fe111ddfce0, // 0.60673, 0.79491 + 0x3fe374531b817f8d, 0x3fe9683f42bd7fe1, // 0.60795, 0.79398 + 0x3fe37e4bd1792fe2, 0x3fe960998893ad8c, // 0.60917, 0.79304 + 0x3fe3884185dfeb22, 0x3fe958efe48e6dd7, // 0.61038, 0.79211 + 0x3fe39234372c7f04, 0x3fe9514257dc4335, // 0.6116, 0.79117 + 0x3fe39c23e3d63029, 0x3fe94990e3ac4a6c, // 0.61281, 0.79023 + 0x3fe3a6108a54ba58, 0x3fe941db892e3a65, // 0.61402, 0.78929 + 0x3fe3affa292050b9, 0x3fe93a22499263fc, // 0.61523, 0.78835 + 0x3fe3b9e0beb19e18, 0x3fe932652609b1cf, // 0.61644, 0.7874 + 0x3fe3c3c44981c517, 0x3fe92aa41fc5a815, // 0.61765, 0.78646 + 0x3fe3cda4c80a6076, 0x3fe922df37f8646a, // 0.61885, 0.78551 + 0x3fe3d78238c58343, 0x3fe91b166fd49da2, // 0.62006, 0.78456 + 0x3fe3e15c9a2db922, 0x3fe91349c88da398, // 0.62126, 0.7836 + 0x3fe3eb33eabe0680, 0x3fe90b7943575efe, // 0.62246, 0.78265 + 0x3fe3f50828f1e8d2, 0x3fe903a4e1665133, // 0.62366, 0.78169 + 0x3fe3fed9534556d4, 0x3fe8fbcca3ef940d, // 0.62486, 0.78074 + 0x3fe408a76834c0c0, 0x3fe8f3f08c28d9ac, // 0.62606, 0.77978 + 0x3fe41272663d108c, 0x3fe8ec109b486c49, // 0.62725, 0.77882 + 0x3fe41c3a4bdbaa26, 0x3fe8e42cd2852e0a, // 0.62845, 0.77785 + 0x3fe425ff178e6bb1, 0x3fe8dc45331698cc, // 0.62964, 0.77689 + 0x3fe42fc0c7d3adbb, 0x3fe8d459be34bdfa, // 0.63083, 0.77592 + 0x3fe4397f5b2a4380, 0x3fe8cc6a75184655, // 0.63202, 0.77495 + 0x3fe4433ad0117b1d, 0x3fe8c47758fa71cb, // 0.63321, 0.77398 + 0x3fe44cf325091dd6, 0x3fe8bc806b151741, // 0.63439, 0.77301 + 0x3fe456a858917046, 0x3fe8b485aca2a468, // 0.63558, 0.77204 + 0x3fe4605a692b32a2, 0x3fe8ac871ede1d88, // 0.63676, 0.77106 + 0x3fe46a095557a0f1, 0x3fe8a484c3031d50, // 0.63794, 0.77008 + 0x3fe473b51b987347, 0x3fe89c7e9a4dd4ab, // 0.63912, 0.7691 + 0x3fe47d5dba6fde01, 0x3fe89474a5fb0a84, // 0.6403, 0.76812 + 0x3fe48703306091fe, 0x3fe88c66e7481ba1, // 0.64148, 0.76714 + 0x3fe490a57bedbcdf, 0x3fe884555f72fa6b, // 0.64266, 0.76615 + 0x3fe49a449b9b0938, 0x3fe87c400fba2ebf, // 0.64383, 0.76517 + 0x3fe4a3e08dec9ed6, 0x3fe87426f95cd5bd, // 0.645, 0.76418 + 0x3fe4ad79516722f0, 0x3fe86c0a1d9aa195, // 0.64618, 0.76319 + 0x3fe4b70ee48fb869, 0x3fe863e97db3d95a, // 0.64735, 0.7622 + 0x3fe4c0a145ec0004, 0x3fe85bc51ae958cc, // 0.64851, 0.7612 + 0x3fe4ca30740218a3, 0x3fe8539cf67c9029, // 0.64968, 0.76021 + 0x3fe4d3bc6d589f80, 0x3fe84b7111af83f9, // 0.65085, 0.75921 + 0x3fe4dd453076b064, 0x3fe843416dc4cce2, // 0.65201, 0.75821 + 0x3fe4e6cabbe3e5e9, 0x3fe83b0e0bff976e, // 0.65317, 0.75721 + 0x3fe4f04d0e2859aa, 0x3fe832d6eda3a3e0, // 0.65433, 0.75621 + 0x3fe4f9cc25cca486, 0x3fe82a9c13f545ff, // 0.65549, 0.7552 + 0x3fe503480159ded2, 0x3fe8225d803964e5, // 0.65665, 0.75419 + 0x3fe50cc09f59a09b, 0x3fe81a1b33b57acc, // 0.65781, 0.75319 + 0x3fe51635fe5601d7, 0x3fe811d52faf94dc, // 0.65896, 0.75218 + 0x3fe51fa81cd99aa6, 0x3fe8098b756e52fa, // 0.66011, 0.75117 + 0x3fe52916f96f8388, 0x3fe8013e0638e795, // 0.66127, 0.75015 + 0x3fe5328292a35596, 0x3fe7f8ece3571771, // 0.66242, 0.74914 + 0x3fe53beae7012abe, 0x3fe7f0980e113978, // 0.66356, 0.74812 + 0x3fe5454ff5159dfb, 0x3fe7e83f87b03686, // 0.66471, 0.7471 + 0x3fe54eb1bb6dcb8f, 0x3fe7dfe3517d8937, // 0.66586, 0.74608 + 0x3fe5581038975137, 0x3fe7d7836cc33db2, // 0.667, 0.74506 + 0x3fe5616b6b204e6e, 0x3fe7cf1fdacbf179, // 0.66814, 0.74403 + 0x3fe56ac35197649e, 0x3fe7c6b89ce2d333, // 0.66928, 0.74301 + 0x3fe57417ea8bb75c, 0x3fe7be4db453a27c, // 0.67042, 0.74198 + 0x3fe57d69348cec9f, 0x3fe7b5df226aafb0, // 0.67156, 0.74095 + 0x3fe586b72e2b2cfd, 0x3fe7ad6ce874dbb6, // 0.67269, 0.73992 + 0x3fe59001d5f723df, 0x3fe7a4f707bf97d2, // 0.67383, 0.73889 + 0x3fe599492a81ffbc, 0x3fe79c7d8198e56e, // 0.67496, 0.73785 + 0x3fe5a28d2a5d7250, 0x3fe79400574f55e4, // 0.67609, 0.73682 + 0x3fe5abcdd41bb0d8, 0x3fe78b7f8a320a52, // 0.67722, 0.73578 + 0x3fe5b50b264f7448, 0x3fe782fb1b90b35b, // 0.67835, 0.73474 + 0x3fe5be451f8bf980, 0x3fe77a730cbb9100, // 0.67948, 0.7337 + 0x3fe5c77bbe65018c, 0x3fe771e75f037261, // 0.6806, 0.73265 + 0x3fe5d0af016ed1d4, 0x3fe7695813b9b594, // 0.68172, 0.73161 + 0x3fe5d9dee73e345c, 0x3fe760c52c304764, // 0.68285, 0.73056 + 0x3fe5e30b6e6877f3, 0x3fe7582ea9b9a329, // 0.68397, 0.72951 + 0x3fe5ec3495837074, 0x3fe74f948da8d28d, // 0.68508, 0.72846 + 0x3fe5f55a5b2576f8, 0x3fe746f6d9516d59, // 0.6862, 0.72741 + 0x3fe5fe7cbde56a0f, 0x3fe73e558e079942, // 0.68732, 0.72636 + 0x3fe6079bbc5aadfa, 0x3fe735b0ad2009b2, // 0.68843, 0.7253 + 0x3fe610b7551d2cde, 0x3fe72d0837efff97, // 0.68954, 0.72425 + 0x3fe619cf86c55702, 0x3fe7245c2fcd492a, // 0.69065, 0.72319 + 0x3fe622e44fec22ff, 0x3fe71bac960e41bf, // 0.69176, 0.72213 + 0x3fe62bf5af2b0dfd, 0x3fe712f96c09d18d, // 0.69287, 0.72107 + 0x3fe63503a31c1be8, 0x3fe70a42b3176d7a, // 0.69397, 0.72 + 0x3fe63e0e2a59d7aa, 0x3fe701886c8f16e6, // 0.69508, 0.71894 + 0x3fe64715437f535b, 0x3fe6f8ca99c95b75, // 0.69618, 0.71787 + 0x3fe65018ed28287f, 0x3fe6f0093c1f54de, // 0.69728, 0.7168 + 0x3fe6591925f0783e, 0x3fe6e74454eaa8ae, // 0.69838, 0.71573 + 0x3fe66215ec74eb91, 0x3fe6de7be585881d, // 0.69947, 0.71466 + 0x3fe66b0f3f52b386, 0x3fe6d5afef4aafcc, // 0.70057, 0.71358 + 0x3fe674051d27896c, 0x3fe6cce07395679f, // 0.70166, 0.71251 + 0x3fe67cf78491af10, 0x3fe6c40d73c18275, // 0.70275, 0.71143 + 0x3fe685e6742feeef, 0x3fe6bb36f12b5e06, // 0.70385, 0.71035 + 0x3fe68ed1eaa19c71, 0x3fe6b25ced2fe29c, // 0.70493, 0.70927 + 0x3fe697b9e686941c, 0x3fe6a97f692c82ea, // 0.70602, 0.70819 + 0x3fe6a09e667f3bcc, 0x3fe6a09e667f3bcc, // 0.70711, 0.70711 + 0x3fe6a97f692c82ea, 0x3fe697b9e686941c, // 0.70819, 0.70602 + 0x3fe6b25ced2fe29c, 0x3fe68ed1eaa19c71, // 0.70927, 0.70493 + 0x3fe6bb36f12b5e06, 0x3fe685e6742feeef, // 0.71035, 0.70385 + 0x3fe6c40d73c18275, 0x3fe67cf78491af10, // 0.71143, 0.70275 + 0x3fe6cce07395679f, 0x3fe674051d27896c, // 0.71251, 0.70166 + 0x3fe6d5afef4aafcc, 0x3fe66b0f3f52b386, // 0.71358, 0.70057 + 0x3fe6de7be585881d, 0x3fe66215ec74eb91, // 0.71466, 0.69947 + 0x3fe6e74454eaa8ae, 0x3fe6591925f0783e, // 0.71573, 0.69838 + 0x3fe6f0093c1f54de, 0x3fe65018ed28287f, // 0.7168, 0.69728 + 0x3fe6f8ca99c95b75, 0x3fe64715437f535b, // 0.71787, 0.69618 + 0x3fe701886c8f16e6, 0x3fe63e0e2a59d7aa, // 0.71894, 0.69508 + 0x3fe70a42b3176d7a, 0x3fe63503a31c1be8, // 0.72, 0.69397 + 0x3fe712f96c09d18d, 0x3fe62bf5af2b0dfd, // 0.72107, 0.69287 + 0x3fe71bac960e41bf, 0x3fe622e44fec22ff, // 0.72213, 0.69176 + 0x3fe7245c2fcd492a, 0x3fe619cf86c55702, // 0.72319, 0.69065 + 0x3fe72d0837efff97, 0x3fe610b7551d2cde, // 0.72425, 0.68954 + 0x3fe735b0ad2009b2, 0x3fe6079bbc5aadfa, // 0.7253, 0.68843 + 0x3fe73e558e079942, 0x3fe5fe7cbde56a0f, // 0.72636, 0.68732 + 0x3fe746f6d9516d59, 0x3fe5f55a5b2576f8, // 0.72741, 0.6862 + 0x3fe74f948da8d28d, 0x3fe5ec3495837074, // 0.72846, 0.68508 + 0x3fe7582ea9b9a329, 0x3fe5e30b6e6877f3, // 0.72951, 0.68397 + 0x3fe760c52c304764, 0x3fe5d9dee73e345c, // 0.73056, 0.68285 + 0x3fe7695813b9b594, 0x3fe5d0af016ed1d4, // 0.73161, 0.68172 + 0x3fe771e75f037261, 0x3fe5c77bbe65018c, // 0.73265, 0.6806 + 0x3fe77a730cbb9100, 0x3fe5be451f8bf980, // 0.7337, 0.67948 + 0x3fe782fb1b90b35b, 0x3fe5b50b264f7448, // 0.73474, 0.67835 + 0x3fe78b7f8a320a52, 0x3fe5abcdd41bb0d8, // 0.73578, 0.67722 + 0x3fe79400574f55e4, 0x3fe5a28d2a5d7250, // 0.73682, 0.67609 + 0x3fe79c7d8198e56e, 0x3fe599492a81ffbc, // 0.73785, 0.67496 + 0x3fe7a4f707bf97d2, 0x3fe59001d5f723df, // 0.73889, 0.67383 + 0x3fe7ad6ce874dbb6, 0x3fe586b72e2b2cfd, // 0.73992, 0.67269 + 0x3fe7b5df226aafb0, 0x3fe57d69348cec9f, // 0.74095, 0.67156 + 0x3fe7be4db453a27c, 0x3fe57417ea8bb75c, // 0.74198, 0.67042 + 0x3fe7c6b89ce2d333, 0x3fe56ac35197649e, // 0.74301, 0.66928 + 0x3fe7cf1fdacbf179, 0x3fe5616b6b204e6e, // 0.74403, 0.66814 + 0x3fe7d7836cc33db2, 0x3fe5581038975137, // 0.74506, 0.667 + 0x3fe7dfe3517d8937, 0x3fe54eb1bb6dcb8f, // 0.74608, 0.66586 + 0x3fe7e83f87b03686, 0x3fe5454ff5159dfb, // 0.7471, 0.66471 + 0x3fe7f0980e113978, 0x3fe53beae7012abe, // 0.74812, 0.66356 + 0x3fe7f8ece3571771, 0x3fe5328292a35596, // 0.74914, 0.66242 + 0x3fe8013e0638e795, 0x3fe52916f96f8388, // 0.75015, 0.66127 + 0x3fe8098b756e52fa, 0x3fe51fa81cd99aa6, // 0.75117, 0.66011 + 0x3fe811d52faf94dc, 0x3fe51635fe5601d7, // 0.75218, 0.65896 + 0x3fe81a1b33b57acc, 0x3fe50cc09f59a09b, // 0.75319, 0.65781 + 0x3fe8225d803964e5, 0x3fe503480159ded2, // 0.75419, 0.65665 + 0x3fe82a9c13f545ff, 0x3fe4f9cc25cca486, // 0.7552, 0.65549 + 0x3fe832d6eda3a3e0, 0x3fe4f04d0e2859aa, // 0.75621, 0.65433 + 0x3fe83b0e0bff976e, 0x3fe4e6cabbe3e5e9, // 0.75721, 0.65317 + 0x3fe843416dc4cce2, 0x3fe4dd453076b064, // 0.75821, 0.65201 + 0x3fe84b7111af83f9, 0x3fe4d3bc6d589f80, // 0.75921, 0.65085 + 0x3fe8539cf67c9029, 0x3fe4ca30740218a3, // 0.76021, 0.64968 + 0x3fe85bc51ae958cc, 0x3fe4c0a145ec0004, // 0.7612, 0.64851 + 0x3fe863e97db3d95a, 0x3fe4b70ee48fb869, // 0.7622, 0.64735 + 0x3fe86c0a1d9aa195, 0x3fe4ad79516722f0, // 0.76319, 0.64618 + 0x3fe87426f95cd5bd, 0x3fe4a3e08dec9ed6, // 0.76418, 0.645 + 0x3fe87c400fba2ebf, 0x3fe49a449b9b0938, // 0.76517, 0.64383 + 0x3fe884555f72fa6b, 0x3fe490a57bedbcdf, // 0.76615, 0.64266 + 0x3fe88c66e7481ba1, 0x3fe48703306091fe, // 0.76714, 0.64148 + 0x3fe89474a5fb0a84, 0x3fe47d5dba6fde01, // 0.76812, 0.6403 + 0x3fe89c7e9a4dd4ab, 0x3fe473b51b987347, // 0.7691, 0.63912 + 0x3fe8a484c3031d50, 0x3fe46a095557a0f1, // 0.77008, 0.63794 + 0x3fe8ac871ede1d88, 0x3fe4605a692b32a2, // 0.77106, 0.63676 + 0x3fe8b485aca2a468, 0x3fe456a858917046, // 0.77204, 0.63558 + 0x3fe8bc806b151741, 0x3fe44cf325091dd6, // 0.77301, 0.63439 + 0x3fe8c47758fa71cb, 0x3fe4433ad0117b1d, // 0.77398, 0.63321 + 0x3fe8cc6a75184655, 0x3fe4397f5b2a4380, // 0.77495, 0.63202 + 0x3fe8d459be34bdfa, 0x3fe42fc0c7d3adbb, // 0.77592, 0.63083 + 0x3fe8dc45331698cc, 0x3fe425ff178e6bb1, // 0.77689, 0.62964 + 0x3fe8e42cd2852e0a, 0x3fe41c3a4bdbaa26, // 0.77785, 0.62845 + 0x3fe8ec109b486c49, 0x3fe41272663d108c, // 0.77882, 0.62725 + 0x3fe8f3f08c28d9ac, 0x3fe408a76834c0c0, // 0.77978, 0.62606 + 0x3fe8fbcca3ef940d, 0x3fe3fed9534556d4, // 0.78074, 0.62486 + 0x3fe903a4e1665133, 0x3fe3f50828f1e8d2, // 0.78169, 0.62366 + 0x3fe90b7943575efe, 0x3fe3eb33eabe0680, // 0.78265, 0.62246 + 0x3fe91349c88da398, 0x3fe3e15c9a2db922, // 0.7836, 0.62126 + 0x3fe91b166fd49da2, 0x3fe3d78238c58343, // 0.78456, 0.62006 + 0x3fe922df37f8646a, 0x3fe3cda4c80a6076, // 0.78551, 0.61885 + 0x3fe92aa41fc5a815, 0x3fe3c3c44981c517, // 0.78646, 0.61765 + 0x3fe932652609b1cf, 0x3fe3b9e0beb19e18, // 0.7874, 0.61644 + 0x3fe93a22499263fc, 0x3fe3affa292050b9, // 0.78835, 0.61523 + 0x3fe941db892e3a65, 0x3fe3a6108a54ba58, // 0.78929, 0.61402 + 0x3fe94990e3ac4a6c, 0x3fe39c23e3d63029, // 0.79023, 0.61281 + 0x3fe9514257dc4335, 0x3fe39234372c7f04, // 0.79117, 0.6116 + 0x3fe958efe48e6dd7, 0x3fe3884185dfeb22, // 0.79211, 0.61038 + 0x3fe960998893ad8c, 0x3fe37e4bd1792fe2, // 0.79304, 0.60917 + 0x3fe9683f42bd7fe1, 0x3fe374531b817f8d, // 0.79398, 0.60795 + 0x3fe96fe111ddfce0, 0x3fe36a576582831b, // 0.79491, 0.60673 + 0x3fe9777ef4c7d742, 0x3fe36058b10659f3, // 0.79584, 0.60551 + 0x3fe97f18ea4e5c9e, 0x3fe35656ff9799ae, // 0.79676, 0.60429 + 0x3fe986aef1457594, 0x3fe34c5252c14de1, // 0.79769, 0.60307 + 0x3fe98e410881a600, 0x3fe3424aac0ef7d6, // 0.79861, 0.60184 + 0x3fe995cf2ed80d22, 0x3fe338400d0c8e57, // 0.79954, 0.60062 + 0x3fe99d59631e65d5, 0x3fe32e3277467d6b, // 0.80046, 0.59939 + 0x3fe9a4dfa42b06b2, 0x3fe32421ec49a620, // 0.80138, 0.59816 + 0x3fe9ac61f0d4e247, 0x3fe31a0e6da35e44, // 0.80229, 0.59693 + 0x3fe9b3e047f38741, 0x3fe30ff7fce17035, // 0.80321, 0.5957 + 0x3fe9bb5aa85f2098, 0x3fe305de9b921a94, // 0.80412, 0.59447 + 0x3fe9c2d110f075c3, 0x3fe2fbc24b441015, // 0.80503, 0.59323 + 0x3fe9ca438080eadb, 0x3fe2f1a30d86773a, // 0.80594, 0.592 + 0x3fe9d1b1f5ea80d6, 0x3fe2e780e3e8ea16, // 0.80685, 0.59076 + 0x3fe9d91c7007d5a6, 0x3fe2dd5bcffb7616, // 0.80775, 0.58952 + 0x3fe9e082edb42472, 0x3fe2d333d34e9bb7, // 0.80866, 0.58828 + 0x3fe9e7e56dcb45bd, 0x3fe2c908ef734e57, // 0.80956, 0.58704 + 0x3fe9ef43ef29af94, 0x3fe2bedb25faf3ea, // 0.81046, 0.5858 + 0x3fe9f69e70ac75bc, 0x3fe2b4aa787764c4, // 0.81135, 0.58455 + 0x3fe9fdf4f13149de, 0x3fe2aa76e87aeb58, // 0.81225, 0.58331 + 0x3fea05476f967bb5, 0x3fe2a040779843fb, // 0.81314, 0.58206 + 0x3fea0c95eabaf937, 0x3fe2960727629ca8, // 0.81404, 0.58081 + 0x3fea13e0617e4ec7, 0x3fe28bcaf96d94ba, // 0.81493, 0.57956 + 0x3fea1b26d2c0a75e, 0x3fe2818bef4d3cba, // 0.81581, 0.57831 + 0x3fea22693d62ccb9, 0x3fe2774a0a961612, // 0.8167, 0.57706 + 0x3fea29a7a0462782, 0x3fe26d054cdd12df, // 0.81758, 0.57581 + 0x3fea30e1fa4cbf81, 0x3fe262bdb7b795a2, // 0.81847, 0.57455 + 0x3fea38184a593bc6, 0x3fe258734cbb7110, // 0.81935, 0.5733 + 0x3fea3f4a8f4ee2d2, 0x3fe24e260d7ee7c9, // 0.82023, 0.57204 + 0x3fea4678c8119ac8, 0x3fe243d5fb98ac1f, // 0.8211, 0.57078 + 0x3fea4da2f385e997, 0x3fe23983189fdfd5, // 0.82198, 0.56952 + 0x3fea54c91090f524, 0x3fe22f2d662c13e1, // 0.82285, 0.56826 + 0x3fea5beb1e188375, 0x3fe224d4e5d5482e, // 0.82372, 0.567 + 0x3fea63091b02fae2, 0x3fe21a799933eb58, // 0.82459, 0.56573 + 0x3fea6a230637623b, 0x3fe2101b81e0da78, // 0.82546, 0.56447 + 0x3fea7138de9d60f5, 0x3fe205baa17560d6, // 0.82632, 0.5632 + 0x3fea784aa31d3f55, 0x3fe1fb56f98b37b8, // 0.82718, 0.56193 + 0x3fea7f58529fe69d, 0x3fe1f0f08bbc861b, // 0.82805, 0.56066 + 0x3fea8661ec0ee133, 0x3fe1e68759a3e074, // 0.8289, 0.55939 + 0x3fea8d676e545ad2, 0x3fe1dc1b64dc4872, // 0.82976, 0.55812 + 0x3fea9468d85b20ae, 0x3fe1d1acaf012cc2, // 0.83062, 0.55685 + 0x3fea9b66290ea1a3, 0x3fe1c73b39ae68c8, // 0.83147, 0.55557 + 0x3feaa25f5f5aee60, 0x3fe1bcc706804467, // 0.83232, 0.55429 + 0x3feaa9547a2cb98e, 0x3fe1b250171373be, // 0.83317, 0.55302 + 0x3feab045787157ff, 0x3fe1a7d66d0516e6, // 0.83402, 0.55174 + 0x3feab7325916c0d4, 0x3fe19d5a09f2b9b8, // 0.83486, 0.55046 + 0x3feabe1b1b0b8dac, 0x3fe192daef7a5386, // 0.83571, 0.54918 + 0x3feac4ffbd3efac8, 0x3fe188591f3a46e5, // 0.83655, 0.54789 + 0x3feacbe03ea0e73b, 0x3fe17dd49ad16161, // 0.83739, 0.54661 + 0x3fead2bc9e21d511, 0x3fe1734d63dedb49, // 0.83822, 0.54532 + 0x3fead994dab2e979, 0x3fe168c37c025764, // 0.83906, 0.54404 + 0x3feae068f345ecef, 0x3fe15e36e4dbe2bc, // 0.83989, 0.54275 + 0x3feae738e6cd4b67, 0x3fe153a7a00bf453, // 0.84073, 0.54146 + 0x3feaee04b43c1474, 0x3fe14915af336ceb, // 0.84155, 0.54017 + 0x3feaf4cc5a85fb73, 0x3fe13e8113f396c1, // 0.84238, 0.53888 + 0x3feafb8fd89f57b6, 0x3fe133e9cfee254e, // 0.84321, 0.53759 + 0x3feb024f2d7d24a9, 0x3fe1294fe4c5350a, // 0.84403, 0.53629 + 0x3feb090a58150200, 0x3fe11eb3541b4b22, // 0.84485, 0.535 + 0x3feb0fc1575d33db, 0x3fe114141f935545, // 0.84567, 0.5337 + 0x3feb16742a4ca2f5, 0x3fe1097248d0a956, // 0.84649, 0.5324 + 0x3feb1d22cfdadcc6, 0x3fe0fecdd1770537, // 0.84731, 0.5311 + 0x3feb23cd470013b4, 0x3fe0f426bb2a8e7d, // 0.84812, 0.5298 + 0x3feb2a738eb51f33, 0x3fe0e97d078fd23b, // 0.84893, 0.5285 + 0x3feb3115a5f37bf4, 0x3fe0ded0b84bc4b5, // 0.84974, 0.5272 + 0x3feb37b38bb54c09, 0x3fe0d421cf03c12b, // 0.85055, 0.5259 + 0x3feb3e4d3ef55712, 0x3fe0c9704d5d898f, // 0.85136, 0.52459 + 0x3feb44e2beaf0a61, 0x3fe0bebc34ff4646, // 0.85216, 0.52328 + 0x3feb4b7409de7925, 0x3fe0b405878f85ec, // 0.85296, 0.52198 + 0x3feb52011f805c92, 0x3fe0a94c46b53d0b, // 0.85376, 0.52067 + 0x3feb5889fe921405, 0x3fe09e907417c5e1, // 0.85456, 0.51936 + 0x3feb5f0ea611a532, 0x3fe093d2115ee018, // 0.85535, 0.51804 + 0x3feb658f14fdbc47, 0x3fe089112032b08c, // 0.85615, 0.51673 + 0x3feb6c0b4a55ac17, 0x3fe07e4da23bc102, // 0.85694, 0.51542 + 0x3feb728345196e3e, 0x3fe073879922ffed, // 0.85773, 0.5141 + 0x3feb78f70449a34b, 0x3fe068bf0691c028, // 0.85852, 0.51279 + 0x3feb7f6686e792ea, 0x3fe05df3ec31b8b6, // 0.8593, 0.51147 + 0x3feb85d1cbf52c02, 0x3fe053264bad0483, // 0.86009, 0.51015 + 0x3feb8c38d27504e9, 0x3fe0485626ae221a, // 0.86087, 0.50883 + 0x3feb929b996a5b7f, 0x3fe03d837edff370, // 0.86165, 0.50751 + 0x3feb98fa1fd9155e, 0x3fe032ae55edbd95, // 0.86242, 0.50619 + 0x3feb9f5464c5bffc, 0x3fe027d6ad83287e, // 0.8632, 0.50486 + 0x3feba5aa673590d2, 0x3fe01cfc874c3eb7, // 0.86397, 0.50354 + 0x3febabfc262e6586, 0x3fe0121fe4f56d2c, // 0.86474, 0.50221 + 0x3febb249a0b6c40d, 0x3fe00740c82b82e0, // 0.86551, 0.50089 + 0x3febb892d5d5dad5, 0x3fdff8be6537615e, // 0.86628, 0.49956 + 0x3febbed7c49380ea, 0x3fdfe2f64be7120f, // 0.86705, 0.49823 + 0x3febc5186bf8361d, 0x3fdfcd2947c1ff57, // 0.86781, 0.4969 + 0x3febcb54cb0d2327, 0x3fdfb7575c24d2de, // 0.86857, 0.49557 + 0x3febd18ce0dc19d6, 0x3fdfa1808c6cf7e0, // 0.86933, 0.49423 + 0x3febd7c0ac6f952a, 0x3fdf8ba4dbf89aba, // 0.87009, 0.4929 + 0x3febddf02cd2b983, 0x3fdf75c44e26a852, // 0.87084, 0.49156 + 0x3febe41b611154c1, 0x3fdf5fdee656cda3, // 0.8716, 0.49023 + 0x3febea424837de6d, 0x3fdf49f4a7e97729, // 0.87235, 0.48889 + 0x3febf064e15377dd, 0x3fdf3405963fd068, // 0.87309, 0.48755 + 0x3febf6832b71ec5b, 0x3fdf1e11b4bbc35c, // 0.87384, 0.48621 + 0x3febfc9d25a1b147, 0x3fdf081906bff7fd, // 0.87459, 0.48487 + 0x3fec02b2cef1e641, 0x3fdef21b8fafd3b5, // 0.87533, 0.48353 + 0x3fec08c426725549, 0x3fdedc1952ef78d5, // 0.87607, 0.48218 + 0x3fec0ed12b3372e9, 0x3fdec61253e3c61b, // 0.87681, 0.48084 + 0x3fec14d9dc465e58, 0x3fdeb00695f25620, // 0.87755, 0.47949 + 0x3fec1ade38bce19b, 0x3fde99f61c817eda, // 0.87828, 0.47815 + 0x3fec20de3fa971b0, 0x3fde83e0eaf85113, // 0.87901, 0.4768 + 0x3fec26d9f01f2eaf, 0x3fde6dc704be97e2, // 0.87974, 0.47545 + 0x3fec2cd14931e3f1, 0x3fde57a86d3cd824, // 0.88047, 0.4741 + 0x3fec32c449f60831, 0x3fde418527dc4ffa, // 0.8812, 0.47275 + 0x3fec38b2f180bdb1, 0x3fde2b5d3806f63b, // 0.88192, 0.4714 + 0x3fec3e9d3ee7d262, 0x3fde1530a12779f4, // 0.88264, 0.47004 + 0x3fec44833141c004, 0x3fddfeff66a941de, // 0.88336, 0.46869 + 0x3fec4a64c7a5ac4c, 0x3fdde8c98bf86bd6, // 0.88408, 0.46733 + 0x3fec5042012b6907, 0x3fddd28f1481cc58, // 0.8848, 0.46598 + 0x3fec561adceb743e, 0x3fddbc5003b2edf8, // 0.88551, 0.46462 + 0x3fec5bef59fef85a, 0x3fdda60c5cfa10d8, // 0.88622, 0.46326 + 0x3fec61bf777fcc48, 0x3fdd8fc423c62a25, // 0.88693, 0.4619 + 0x3fec678b3488739b, 0x3fdd79775b86e389, // 0.88764, 0.46054 + 0x3fec6d5290341eb2, 0x3fdd632607ac9aa9, // 0.88835, 0.45918 + 0x3fec7315899eaad7, 0x3fdd4cd02ba8609c, // 0.88905, 0.45781 + 0x3fec78d41fe4a267, 0x3fdd3675caebf962, // 0.88975, 0.45645 + 0x3fec7e8e52233cf3, 0x3fdd2016e8e9db5b, // 0.89045, 0.45508 + 0x3fec84441f785f61, 0x3fdd09b389152ec1, // 0.89115, 0.45372 + 0x3fec89f587029c13, 0x3fdcf34baee1cd21, // 0.89184, 0.45235 + 0x3fec8fa287e13305, 0x3fdcdcdf5dc440ce, // 0.89253, 0.45098 + 0x3fec954b213411f5, 0x3fdcc66e9931c45d, // 0.89322, 0.44961 + 0x3fec9aef521bd480, 0x3fdcaff964a0421d, // 0.89391, 0.44824 + 0x3feca08f19b9c449, 0x3fdc997fc3865388, // 0.8946, 0.44687 + 0x3feca62a772fd919, 0x3fdc8301b95b40c2, // 0.89528, 0.4455 + 0x3fecabc169a0b901, 0x3fdc6c7f4997000a, // 0.89597, 0.44412 + 0x3fecb153f02fb87d, 0x3fdc55f877b23537, // 0.89665, 0.44275 + 0x3fecb6e20a00da99, 0x3fdc3f6d47263129, // 0.89732, 0.44137 + 0x3fecbc6bb638d10b, 0x3fdc28ddbb6cf145, // 0.898, 0.43999 + 0x3fecc1f0f3fcfc5c, 0x3fdc1249d8011ee7, // 0.89867, 0.43862 + 0x3fecc771c2736c09, 0x3fdbfbb1a05e0edc, // 0.89935, 0.43724 + 0x3fecccee20c2de9f, 0x3fdbe51517ffc0d9, // 0.90002, 0.43586 + 0x3fecd2660e12c1e6, 0x3fdbce744262deee, // 0.90068, 0.43448 + 0x3fecd7d9898b32f6, 0x3fdbb7cf2304bd01, // 0.90135, 0.43309 + 0x3fecdd489254fe65, 0x3fdba125bd63583e, // 0.90201, 0.43171 + 0x3fece2b32799a060, 0x3fdb8a7814fd5693, // 0.90267, 0.43033 + 0x3fece819488344ce, 0x3fdb73c62d520624, // 0.90333, 0.42894 + 0x3feced7af43cc773, 0x3fdb5d1009e15cc0, // 0.90399, 0.42756 + 0x3fecf2d829f1b40e, 0x3fdb4655ae2bf757, // 0.90464, 0.42617 + 0x3fecf830e8ce467b, 0x3fdb2f971db31972, // 0.9053, 0.42478 + 0x3fecfd852fff6ad4, 0x3fdb18d45bf8aca6, // 0.90595, 0.42339 + 0x3fed02d4feb2bd92, 0x3fdb020d6c7f4009, // 0.9066, 0.422 + 0x3fed082054168bac, 0x3fdaeb4252ca07ab, // 0.90724, 0.42061 + 0x3fed0d672f59d2b9, 0x3fdad473125cdc08, // 0.90789, 0.41922 + 0x3fed12a98fac410c, 0x3fdabd9faebc3980, // 0.90853, 0.41782 + 0x3fed17e7743e35dc, 0x3fdaa6c82b6d3fc9, // 0.90917, 0.41643 + 0x3fed1d20dc40c15c, 0x3fda8fec8bf5b166, // 0.90981, 0.41503 + 0x3fed2255c6e5a4e1, 0x3fda790cd3dbf31a, // 0.91044, 0.41364 + 0x3fed2786335f52fc, 0x3fda622906a70b63, // 0.91107, 0.41224 + 0x3fed2cb220e0ef9f, 0x3fda4b4127dea1e4, // 0.91171, 0.41084 + 0x3fed31d98e9e503a, 0x3fda34553b0afee5, // 0.91234, 0.40944 + 0x3fed36fc7bcbfbdc, 0x3fda1d6543b50ac0, // 0.91296, 0.40804 + 0x3fed3c1ae79f2b4e, 0x3fda067145664d57, // 0.91359, 0.40664 + 0x3fed4134d14dc93a, 0x3fd9ef7943a8ed8a, // 0.91421, 0.40524 + 0x3fed464a380e7242, 0x3fd9d87d4207b0ab, // 0.91483, 0.40384 + 0x3fed4b5b1b187524, 0x3fd9c17d440df9f2, // 0.91545, 0.40243 + 0x3fed506779a3d2d9, 0x3fd9aa794d47c9ee, // 0.91606, 0.40103 + 0x3fed556f52e93eb1, 0x3fd993716141bdfe, // 0.91668, 0.39962 + 0x3fed5a72a6221e73, 0x3fd97c6583890fc2, // 0.91729, 0.39822 + 0x3fed5f7172888a7f, 0x3fd96555b7ab948f, // 0.9179, 0.39681 + 0x3fed646bb7574de5, 0x3fd94e420137bce3, // 0.91851, 0.3954 + 0x3fed696173c9e68b, 0x3fd9372a63bc93d7, // 0.91911, 0.39399 + 0x3fed6e52a71c8547, 0x3fd9200ee2c9be97, // 0.91972, 0.39258 + 0x3fed733f508c0dff, 0x3fd908ef81ef7bd1, // 0.92032, 0.39117 + 0x3fed78276f5617c6, 0x3fd8f1cc44bea329, // 0.92092, 0.38976 + 0x3fed7d0b02b8ecf9, 0x3fd8daa52ec8a4af, // 0.92151, 0.38835 + 0x3fed81ea09f38b63, 0x3fd8c37a439f884f, // 0.92211, 0.38693 + 0x3fed86c48445a450, 0x3fd8ac4b86d5ed44, // 0.9227, 0.38552 + 0x3fed8b9a70ef9cb4, 0x3fd89518fbff098e, // 0.92329, 0.3841 + 0x3fed906bcf328d46, 0x3fd87de2a6aea963, // 0.92388, 0.38268 + 0x3fed95389e50429b, 0x3fd866a88a792ea0, // 0.92447, 0.38127 + 0x3fed9a00dd8b3d46, 0x3fd84f6aaaf3903f, // 0.92505, 0.37985 + 0x3fed9ec48c26b1f3, 0x3fd838290bb359c8, // 0.92563, 0.37843 + 0x3feda383a9668988, 0x3fd820e3b04eaac4, // 0.92621, 0.37701 + 0x3feda83e348f613b, 0x3fd8099a9c5c362d, // 0.92679, 0.37559 + 0x3fedacf42ce68ab9, 0x3fd7f24dd37341e3, // 0.92736, 0.37416 + 0x3fedb1a591b20c38, 0x3fd7dafd592ba621, // 0.92794, 0.37274 + 0x3fedb6526238a09b, 0x3fd7c3a9311dcce7, // 0.92851, 0.37132 + 0x3fedbafa9dc1b78d, 0x3fd7ac515ee2b172, // 0.92907, 0.36989 + 0x3fedbf9e4395759a, 0x3fd794f5e613dfae, // 0.92964, 0.36847 + 0x3fedc43d52fcb453, 0x3fd77d96ca4b73a6, // 0.93021, 0.36704 + 0x3fedc8d7cb410260, 0x3fd766340f2418f6, // 0.93077, 0.36561 + 0x3fedcd6dabaca3a5, 0x3fd74ecdb8390a3e, // 0.93133, 0.36418 + 0x3fedd1fef38a915a, 0x3fd73763c9261092, // 0.93188, 0.36276 + 0x3fedd68ba2267a25, 0x3fd71ff6458782ec, // 0.93244, 0.36133 + 0x3feddb13b6ccc23d, 0x3fd7088530fa459e, // 0.93299, 0.3599 + 0x3feddf9730ca837b, 0x3fd6f1108f1bc9c5, // 0.93354, 0.35846 + 0x3fede4160f6d8d81, 0x3fd6d998638a0cb5, // 0.93409, 0.35703 + 0x3fede890520465ce, 0x3fd6c21cb1e39771, // 0.93464, 0.3556 + 0x3feded05f7de47da, 0x3fd6aa9d7dc77e16, // 0.93518, 0.35416 + 0x3fedf177004b2534, 0x3fd6931acad55f51, // 0.93573, 0.35273 + 0x3fedf5e36a9ba59c, 0x3fd67b949cad63ca, // 0.93627, 0.35129 + 0x3fedfa4b3621271d, 0x3fd6640af6f03d9e, // 0.9368, 0.34986 + 0x3fedfeae622dbe2b, 0x3fd64c7ddd3f27c6, // 0.93734, 0.34842 + 0x3fee030cee1435b8, 0x3fd634ed533be58e, // 0.93787, 0.34698 + 0x3fee0766d9280f54, 0x3fd61d595c88c203, // 0.9384, 0.34554 + 0x3fee0bbc22bd8349, 0x3fd605c1fcc88f63, // 0.93893, 0.3441 + 0x3fee100cca2980ac, 0x3fd5ee27379ea693, // 0.93946, 0.34266 + 0x3fee1458cec1ad83, 0x3fd5d68910aee686, // 0.93998, 0.34122 + 0x3fee18a02fdc66d9, 0x3fd5bee78b9db3b6, // 0.94051, 0.33978 + 0x3fee1ce2ecd0c0d8, 0x3fd5a742ac0ff78d, // 0.94103, 0.33833 + 0x3fee212104f686e5, 0x3fd58f9a75ab1fdd, // 0.94154, 0.33689 + 0x3fee255a77a63bb8, 0x3fd577eeec151e47, // 0.94206, 0.33545 + 0x3fee298f4439197a, 0x3fd5604012f467b4, // 0.94257, 0.334 + 0x3fee2dbf6a0911d9, 0x3fd5488dedeff3be, // 0.94308, 0.33255 + 0x3fee31eae870ce25, 0x3fd530d880af3c24, // 0.94359, 0.33111 + 0x3fee3611becbaf69, 0x3fd5191fceda3c35, // 0.9441, 0.32966 + 0x3fee3a33ec75ce85, 0x3fd50163dc197047, // 0.9446, 0.32821 + 0x3fee3e5170cbfc46, 0x3fd4e9a4ac15d520, // 0.94511, 0.32676 + 0x3fee426a4b2bc17e, 0x3fd4d1e24278e76a, // 0.94561, 0.32531 + 0x3fee467e7af35f23, 0x3fd4ba1ca2eca31c, // 0.94611, 0.32386 + 0x3fee4a8dff81ce5e, 0x3fd4a253d11b82f3, // 0.9466, 0.32241 + 0x3fee4e98d836c0af, 0x3fd48a87d0b07fd7, // 0.94709, 0.32096 + 0x3fee529f04729ffc, 0x3fd472b8a5571054, // 0.94759, 0.3195 + 0x3fee56a083968eb1, 0x3fd45ae652bb2800, // 0.94807, 0.31805 + 0x3fee5a9d550467d3, 0x3fd44310dc8936f0, // 0.94856, 0.31659 + 0x3fee5e95781ebf1c, 0x3fd42b38466e2928, // 0.94905, 0.31514 + 0x3fee6288ec48e112, 0x3fd4135c94176602, // 0.94953, 0.31368 + 0x3fee6677b0e6d31e, 0x3fd3fb7dc932cfa4, // 0.95001, 0.31222 + 0x3fee6a61c55d53a7, 0x3fd3e39be96ec271, // 0.95049, 0.31077 + 0x3fee6e472911da27, 0x3fd3cbb6f87a146e, // 0.95096, 0.30931 + 0x3fee7227db6a9744, 0x3fd3b3cefa0414b7, // 0.95144, 0.30785 + 0x3fee7603dbce74e9, 0x3fd39be3f1bc8aef, // 0.95191, 0.30639 + 0x3fee79db29a5165a, 0x3fd383f5e353b6aa, // 0.95238, 0.30493 + 0x3fee7dadc456d850, 0x3fd36c04d27a4edf, // 0.95284, 0.30347 + 0x3fee817bab4cd10d, 0x3fd35410c2e18152, // 0.95331, 0.30201 + 0x3fee8544ddf0d075, 0x3fd33c19b83af207, // 0.95377, 0.30054 + 0x3fee89095bad6025, 0x3fd3241fb638baaf, // 0.95423, 0.29908 + 0x3fee8cc923edc388, 0x3fd30c22c08d6a13, // 0.95469, 0.29762 + 0x3fee9084361df7f3, 0x3fd2f422daec0386, // 0.95514, 0.29615 + 0x3fee943a91aab4b4, 0x3fd2dc200907fe51, // 0.95559, 0.29469 + 0x3fee97ec36016b30, 0x3fd2c41a4e954520, // 0.95605, 0.29322 + 0x3fee9b99229046f8, 0x3fd2ac11af483572, // 0.95649, 0.29175 + 0x3fee9f4156c62dda, 0x3fd294062ed59f05, // 0.95694, 0.29028 + 0x3feea2e4d212c000, 0x3fd27bf7d0f2c346, // 0.95738, 0.28882 + 0x3feea68393e65800, 0x3fd263e6995554ba, // 0.95783, 0.28735 + 0x3feeaa1d9bb20af3, 0x3fd24bd28bb37672, // 0.95827, 0.28588 + 0x3feeadb2e8e7a88e, 0x3fd233bbabc3bb72, // 0.9587, 0.28441 + 0x3feeb1437af9bb34, 0x3fd21ba1fd3d2623, // 0.95914, 0.28294 + 0x3feeb4cf515b8811, 0x3fd2038583d727bd, // 0.95957, 0.28146 + 0x3feeb8566b810f2a, 0x3fd1eb6643499fbb, // 0.96, 0.27999 + 0x3feebbd8c8df0b74, 0x3fd1d3443f4cdb3d, // 0.96043, 0.27852 + 0x3feebf5668eaf2ef, 0x3fd1bb1f7b999480, // 0.96086, 0.27705 + 0x3feec2cf4b1af6b2, 0x3fd1a2f7fbe8f243, // 0.96128, 0.27557 + 0x3feec6436ee60309, 0x3fd18acdc3f4873a, // 0.9617, 0.2741 + 0x3feec9b2d3c3bf84, 0x3fd172a0d7765177, // 0.96212, 0.27262 + 0x3feecd1d792c8f10, 0x3fd15a713a28b9d9, // 0.96254, 0.27115 + 0x3feed0835e999009, 0x3fd1423eefc69378, // 0.96295, 0.26967 + 0x3feed3e483849c51, 0x3fd12a09fc0b1b12, // 0.96337, 0.26819 + 0x3feed740e7684963, 0x3fd111d262b1f677, // 0.96378, 0.26671 + 0x3feeda9889bfe86a, 0x3fd0f998277733f7, // 0.96418, 0.26523 + 0x3feeddeb6a078651, 0x3fd0e15b4e1749cd, // 0.96459, 0.26375 + 0x3feee13987bbebdc, 0x3fd0c91bda4f158d, // 0.96499, 0.26227 + 0x3feee482e25a9dbc, 0x3fd0b0d9cfdbdb90, // 0.96539, 0.26079 + 0x3feee7c77961dc9e, 0x3fd09895327b465e, // 0.96579, 0.25931 + 0x3feeeb074c50a544, 0x3fd0804e05eb661e, // 0.96619, 0.25783 + 0x3feeee425aa6b09a, 0x3fd068044deab002, // 0.96658, 0.25635 + 0x3feef178a3e473c2, 0x3fd04fb80e37fdae, // 0.96698, 0.25487 + 0x3feef4aa278b2032, 0x3fd037694a928cac, // 0.96737, 0.25338 + 0x3feef7d6e51ca3c0, 0x3fd01f1806b9fdd2, // 0.96775, 0.2519 + 0x3feefafedc1ba8b7, 0x3fd006c4466e54af, // 0.96814, 0.25041 + 0x3feefe220c0b95ec, 0x3fcfdcdc1adfedf8, // 0.96852, 0.24893 + 0x3fef014074708ed3, 0x3fcfac2abeff57ff, // 0.9689, 0.24744 + 0x3fef045a14cf738c, 0x3fcf7b7480bd3801, // 0.96928, 0.24596 + 0x3fef076eecade0fa, 0x3fcf4ab9679c9f5c, // 0.96966, 0.24447 + 0x3fef0a7efb9230d7, 0x3fcf19f97b215f1a, // 0.97003, 0.24298 + 0x3fef0d8a410379c5, 0x3fcee934c2d006c7, // 0.9704, 0.24149 + 0x3fef1090bc898f5f, 0x3fceb86b462de348, // 0.97077, 0.24 + 0x3fef13926dad024e, 0x3fce879d0cc0fdaf, // 0.97114, 0.23851 + 0x3fef168f53f7205d, 0x3fce56ca1e101a1b, // 0.9715, 0.23702 + 0x3fef19876ef1f486, 0x3fce25f281a2b684, // 0.97187, 0.23553 + 0x3fef1c7abe284708, 0x3fcdf5163f01099a, // 0.97223, 0.23404 + 0x3fef1f6941259d7a, 0x3fcdc4355db40195, // 0.97258, 0.23255 + 0x3fef2252f7763ada, 0x3fcd934fe5454311, // 0.97294, 0.23106 + 0x3fef2537e0a71f9f, 0x3fcd6265dd3f27e3, // 0.97329, 0.22957 + 0x3fef2817fc4609ce, 0x3fcd31774d2cbdee, // 0.97364, 0.22807 + 0x3fef2af349e17507, 0x3fcd00843c99c5f9, // 0.97399, 0.22658 + 0x3fef2dc9c9089a9d, 0x3fcccf8cb312b286, // 0.97434, 0.22508 + 0x3fef309b794b719f, 0x3fcc9e90b824a6a9, // 0.97468, 0.22359 + 0x3fef33685a3aaef0, 0x3fcc6d90535d74dc, // 0.97503, 0.22209 + 0x3fef36306b67c556, 0x3fcc3c8b8c4b9dd7, // 0.97536, 0.2206 + 0x3fef38f3ac64e589, 0x3fcc0b826a7e4f63, // 0.9757, 0.2191 + 0x3fef3bb21cc4fe47, 0x3fcbda74f5856330, // 0.97604, 0.2176 + 0x3fef3e6bbc1bbc65, 0x3fcba96334f15dad, // 0.97637, 0.21611 + 0x3fef412089fd8adc, 0x3fcb784d30536cda, // 0.9767, 0.21461 + 0x3fef43d085ff92dd, 0x3fcb4732ef3d6722, // 0.97703, 0.21311 + 0x3fef467bafb7bbe0, 0x3fcb16147941ca2a, // 0.97735, 0.21161 + 0x3fef492206bcabb4, 0x3fcae4f1d5f3b9ab, // 0.97768, 0.21011 + 0x3fef4bc38aa5c694, 0x3fcab3cb0ce6fe44, // 0.978, 0.20861 + 0x3fef4e603b0b2f2d, 0x3fca82a025b00451, // 0.97832, 0.20711 + 0x3fef50f81785c6b9, 0x3fca517127e3dabc, // 0.97863, 0.20561 + 0x3fef538b1faf2d07, 0x3fca203e1b1831da, // 0.97895, 0.20411 + 0x3fef56195321c090, 0x3fc9ef0706e35a35, // 0.97926, 0.20261 + 0x3fef58a2b1789e84, 0x3fc9bdcbf2dc4366, // 0.97957, 0.2011 + 0x3fef5b273a4fa2d9, 0x3fc98c8ce69a7aec, // 0.97988, 0.1996 + 0x3fef5da6ed43685d, 0x3fc95b49e9b62af9, // 0.98018, 0.1981 + 0x3fef6021c9f148c2, 0x3fc92a0303c8194f, // 0.98048, 0.19659 + 0x3fef6297cff75cb0, 0x3fc8f8b83c69a60a, // 0.98079, 0.19509 + 0x3fef6508fef47bd5, 0x3fc8c7699b34ca7e, // 0.98108, 0.19359 + 0x3fef677556883cee, 0x3fc8961727c41804, // 0.98138, 0.19208 + 0x3fef69dcd652f5de, 0x3fc864c0e9b2b6cf, // 0.98167, 0.19057 + 0x3fef6c3f7df5bbb7, 0x3fc83366e89c64c5, // 0.98196, 0.18907 + 0x3fef6e9d4d1262ca, 0x3fc802092c1d744b, // 0.98225, 0.18756 + 0x3fef70f6434b7eb7, 0x3fc7d0a7bbd2cb1b, // 0.98254, 0.18606 + 0x3fef734a60446279, 0x3fc79f429f59e11d, // 0.98282, 0.18455 + 0x3fef7599a3a12077, 0x3fc76dd9de50bf31, // 0.98311, 0.18304 + 0x3fef77e40d068a90, 0x3fc73c6d8055fe0a, // 0.98339, 0.18153 + 0x3fef7a299c1a322a, 0x3fc70afd8d08c4ff, // 0.98366, 0.18002 + 0x3fef7c6a50826840, 0x3fc6d98a0c08c8da, // 0.98394, 0.17851 + 0x3fef7ea629e63d6e, 0x3fc6a81304f64ab2, // 0.98421, 0.177 + 0x3fef80dd27ed8204, 0x3fc676987f7216b8, // 0.98448, 0.17549 + 0x3fef830f4a40c60c, 0x3fc6451a831d830d, // 0.98475, 0.17398 + 0x3fef853c9089595e, 0x3fc61399179a6e94, // 0.98501, 0.17247 + 0x3fef8764fa714ba9, 0x3fc5e214448b3fc6, // 0.98528, 0.17096 + 0x3fef898887a36c84, 0x3fc5b08c1192e381, // 0.98554, 0.16945 + 0x3fef8ba737cb4b78, 0x3fc57f008654cbde, // 0.9858, 0.16794 + 0x3fef8dc10a95380d, 0x3fc54d71aa74ef02, // 0.98605, 0.16643 + 0x3fef8fd5ffae41db, 0x3fc51bdf8597c5f2, // 0.98631, 0.16491 + 0x3fef91e616c43891, 0x3fc4ea4a1f624b61, // 0.98656, 0.1634 + 0x3fef93f14f85ac08, 0x3fc4b8b17f79fa88, // 0.98681, 0.16189 + 0x3fef95f7a9a1ec47, 0x3fc48715ad84cdf5, // 0.98706, 0.16037 + 0x3fef97f924c9099b, 0x3fc45576b1293e5a, // 0.9873, 0.15886 + 0x3fef99f5c0abd496, 0x3fc423d4920e4166, // 0.98754, 0.15734 + 0x3fef9bed7cfbde29, 0x3fc3f22f57db4893, // 0.98778, 0.15583 + 0x3fef9de0596b77a3, 0x3fc3c0870a383ff6, // 0.98802, 0.15431 + 0x3fef9fce55adb2c8, 0x3fc38edbb0cd8d14, // 0.98826, 0.1528 + 0x3fefa1b7717661d5, 0x3fc35d2d53440db2, // 0.98849, 0.15128 + 0x3fefa39bac7a1791, 0x3fc32b7bf94516a7, // 0.98872, 0.14976 + 0x3fefa57b066e2754, 0x3fc2f9c7aa7a72af, // 0.98895, 0.14825 + 0x3fefa7557f08a517, 0x3fc2c8106e8e613a, // 0.98918, 0.14673 + 0x3fefa92b1600657c, 0x3fc296564d2b953e, // 0.9894, 0.14521 + 0x3fefaafbcb0cfddc, 0x3fc264994dfd340a, // 0.98962, 0.1437 + 0x3fefacc79de6c44f, 0x3fc232d978aed413, // 0.98984, 0.14218 + 0x3fefae8e8e46cfbb, 0x3fc20116d4ec7bce, // 0.99006, 0.14066 + 0x3fefb0509be6f7db, 0x3fc1cf516a62a077, // 0.99027, 0.13914 + 0x3fefb20dc681d54d, 0x3fc19d8940be24e7, // 0.99049, 0.13762 + 0x3fefb3c60dd2c199, 0x3fc16bbe5fac5865, // 0.9907, 0.1361 + 0x3fefb5797195d741, 0x3fc139f0cedaf576, // 0.9909, 0.13458 + 0x3fefb727f187f1c7, 0x3fc1082095f820b0, // 0.99111, 0.13306 + 0x3fefb8d18d66adb7, 0x3fc0d64dbcb26786, // 0.99131, 0.13154 + 0x3fefba7644f068b5, 0x3fc0a4784ab8bf1d, // 0.99151, 0.13002 + 0x3fefbc1617e44186, 0x3fc072a047ba831d, // 0.99171, 0.1285 + 0x3fefbdb106021816, 0x3fc040c5bb67747e, // 0.99191, 0.12698 + 0x3fefbf470f0a8d88, 0x3fc00ee8ad6fb85b, // 0.9921, 0.12545 + 0x3fefc0d832bf043a, 0x3fbfba124b07ad85, // 0.99229, 0.12393 + 0x3fefc26470e19fd3, 0x3fbf564e56a9730e, // 0.99248, 0.12241 + 0x3fefc3ebc935454c, 0x3fbef2858d27561b, // 0.99267, 0.12089 + 0x3fefc56e3b7d9af6, 0x3fbe8eb7fde4aa3e, // 0.99285, 0.11937 + 0x3fefc6ebc77f0887, 0x3fbe2ae5b8457f77, // 0.99303, 0.11784 + 0x3fefc8646cfeb721, 0x3fbdc70ecbae9fc8, // 0.99321, 0.11632 + 0x3fefc9d82bc2915e, 0x3fbd633347858ce4, // 0.99339, 0.11479 + 0x3fefcb4703914354, 0x3fbcff533b307dc1, // 0.99356, 0.11327 + 0x3fefccb0f4323aa3, 0x3fbc9b6eb6165c42, // 0.99374, 0.11175 + 0x3fefce15fd6da67b, 0x3fbc3785c79ec2d5, // 0.99391, 0.11022 + 0x3fefcf761f0c77a3, 0x3fbbd3987f31fa0e, // 0.99407, 0.1087 + 0x3fefd0d158d86087, 0x3fbb6fa6ec38f64c, // 0.99424, 0.10717 + 0x3fefd227aa9bd53b, 0x3fbb0bb11e1d5559, // 0.9944, 0.10565 + 0x3fefd37914220b84, 0x3fbaa7b724495c04, // 0.99456, 0.10412 + 0x3fefd4c59536fae4, 0x3fba43b90e27f3c4, // 0.99472, 0.1026 + 0x3fefd60d2da75c9e, 0x3fb9dfb6eb24a85c, // 0.99488, 0.10107 + 0x3fefd74fdd40abbf, 0x3fb97bb0caaba56f, // 0.99503, 0.099544 + 0x3fefd88da3d12526, 0x3fb917a6bc29b42c, // 0.99518, 0.098017 + 0x3fefd9c68127c78c, 0x3fb8b398cf0c38e0, // 0.99533, 0.09649 + 0x3fefdafa7514538c, 0x3fb84f8712c130a0, // 0.99548, 0.094963 + 0x3fefdc297f674ba9, 0x3fb7eb7196b72ee4, // 0.99563, 0.093436 + 0x3fefdd539ff1f456, 0x3fb787586a5d5b21, // 0.99577, 0.091909 + 0x3fefde78d68653fd, 0x3fb7233b9d236e71, // 0.99591, 0.090381 + 0x3fefdf9922f73307, 0x3fb6bf1b3e79b129, // 0.99604, 0.088854 + 0x3fefe0b485181be3, 0x3fb65af75dd0f87b, // 0.99618, 0.087326 + 0x3fefe1cafcbd5b09, 0x3fb5f6d00a9aa419, // 0.99631, 0.085797 + 0x3fefe2dc89bbff08, 0x3fb592a554489bc8, // 0.99644, 0.084269 + 0x3fefe3e92be9d886, 0x3fb52e774a4d4d0a, // 0.99657, 0.08274 + 0x3fefe4f0e31d7a4a, 0x3fb4ca45fc1ba8b6, // 0.9967, 0.081211 + 0x3fefe5f3af2e3940, 0x3fb4661179272096, // 0.99682, 0.079682 + 0x3fefe6f18ff42c84, 0x3fb401d9d0e3a507, // 0.99694, 0.078153 + 0x3fefe7ea85482d60, 0x3fb39d9f12c5a299, // 0.99706, 0.076624 + 0x3fefe8de8f03d75c, 0x3fb339614e41ffa5, // 0.99718, 0.075094 + 0x3fefe9cdad01883a, 0x3fb2d52092ce19f6, // 0.99729, 0.073565 + 0x3fefeab7df1c6005, 0x3fb270dcefdfc45b, // 0.9974, 0.072035 + 0x3fefeb9d2530410f, 0x3fb20c9674ed444c, // 0.99751, 0.070505 + 0x3fefec7d7f19cffc, 0x3fb1a84d316d4f8a, // 0.99762, 0.068974 + 0x3fefed58ecb673c4, 0x3fb1440134d709b2, // 0.99772, 0.067444 + 0x3fefee2f6de455ba, 0x3fb0dfb28ea201e6, // 0.99783, 0.065913 + 0x3fefef0102826191, 0x3fb07b614e463064, // 0.99793, 0.064383 + 0x3fefefcdaa704562, 0x3fb0170d833bf421, // 0.99802, 0.062852 + 0x3feff095658e71ad, 0x3faf656e79f820e0, // 0.99812, 0.061321 + 0x3feff15833be1965, 0x3fae9cbd15ff5527, // 0.99821, 0.05979 + 0x3feff21614e131ed, 0x3fadd406f9808ec8, // 0.9983, 0.058258 + 0x3feff2cf08da7321, 0x3fad0b4c436f91d0, // 0.99839, 0.056727 + 0x3feff3830f8d575c, 0x3fac428d12c0d7e3, // 0.99848, 0.055195 + 0x3feff43228de1b77, 0x3fab79c986698b78, // 0.99856, 0.053664 + 0x3feff4dc54b1bed3, 0x3faab101bd5f8317, // 0.99864, 0.052132 + 0x3feff58192ee0358, 0x3fa9e835d6993c87, // 0.99872, 0.0506 + 0x3feff621e3796d7e, 0x3fa91f65f10dd814, // 0.9988, 0.049068 + 0x3feff6bd463b444d, 0x3fa856922bb513c1, // 0.99887, 0.047535 + 0x3feff753bb1b9164, 0x3fa78dbaa5874685, // 0.99894, 0.046003 + 0x3feff7e5420320f9, 0x3fa6c4df7d7d5b84, // 0.99901, 0.044471 + 0x3feff871dadb81df, 0x3fa5fc00d290cd43, // 0.99908, 0.042938 + 0x3feff8f9858f058b, 0x3fa5331ec3bba0eb, // 0.99914, 0.041406 + 0x3feff97c4208c014, 0x3fa46a396ff86179, // 0.9992, 0.039873 + 0x3feff9fa10348837, 0x3fa3a150f6421afc, // 0.99926, 0.03834 + 0x3feffa72effef75d, 0x3fa2d865759455cd, // 0.99932, 0.036807 + 0x3feffae6e1556998, 0x3fa20f770ceb11c6, // 0.99938, 0.035274 + 0x3feffb55e425fdae, 0x3fa14685db42c17e, // 0.99943, 0.033741 + 0x3feffbbff85f9515, 0x3fa07d91ff984580, // 0.99948, 0.032208 + 0x3feffc251df1d3f8, 0x3f9f693731d1cf01, // 0.99953, 0.030675 + 0x3feffc8554cd213a, 0x3f9dd7458c64ab39, // 0.99958, 0.029142 + 0x3feffce09ce2a679, 0x3f9c454f4ce53b1c, // 0.99962, 0.027608 + 0x3feffd36f624500c, 0x3f9ab354b1504fca, // 0.99966, 0.026075 + 0x3feffd886084cd0d, 0x3f992155f7a3667e, // 0.9997, 0.024541 + 0x3feffdd4dbf78f52, 0x3f978f535ddc9f03, // 0.99974, 0.023008 + 0x3feffe1c6870cb77, 0x3f95fd4d21fab226, // 0.99977, 0.021474 + 0x3feffe5f05e578db, 0x3f946b4381fce81c, // 0.9998, 0.01994 + 0x3feffe9cb44b51a1, 0x3f92d936bbe30efd, // 0.99983, 0.018407 + 0x3feffed57398d2b7, 0x3f9147270dad7132, // 0.99986, 0.016873 + 0x3fefff0943c53bd1, 0x3f8f6a296ab997ca, // 0.99988, 0.015339 + 0x3fefff3824c88f6f, 0x3f8c45ffe1e48ad9, // 0.9999, 0.013805 + 0x3fefff62169b92db, 0x3f8921d1fcdec784, // 0.99992, 0.012272 + 0x3fefff871937ce2f, 0x3f85fda037ac05e0, // 0.99994, 0.010738 + 0x3fefffa72c978c4f, 0x3f82d96b0e509703, // 0.99996, 0.0092038 + 0x3fefffc250b5daef, 0x3f7f6a65f9a2a3c5, // 0.99997, 0.0076698 + 0x3fefffd8858e8a92, 0x3f7921f0fe670071, // 0.99998, 0.0061359 + 0x3fefffe9cb1e2e8d, 0x3f72d97822f996bc, // 0.99999, 0.0046019 + 0x3feffff621621d02, 0x3f6921f8becca4ba, // 1, 0.003068 + 0x3feffffd88586ee6, 0x3f5921faaee6472d, // 1, 0.001534 + 0x3ff0000000000000, 0x0000000000000000, // 1, 0 + 0x3feffffd88586ee6, 0xbf5921faaee6472d, // 1, -0.001534 + 0x3feffff621621d02, 0xbf6921f8becca4ba, // 1, -0.003068 + 0x3fefffe9cb1e2e8d, 0xbf72d97822f996bc, // 0.99999,-0.0046019 + 0x3fefffd8858e8a92, 0xbf7921f0fe670071, // 0.99998,-0.0061359 + 0x3fefffc250b5daef, 0xbf7f6a65f9a2a3c5, // 0.99997,-0.0076698 + 0x3fefffa72c978c4f, 0xbf82d96b0e509703, // 0.99996,-0.0092038 + 0x3fefff871937ce2f, 0xbf85fda037ac05e0, // 0.99994, -0.010738 + 0x3fefff62169b92db, 0xbf8921d1fcdec784, // 0.99992, -0.012272 + 0x3fefff3824c88f6f, 0xbf8c45ffe1e48ad9, // 0.9999, -0.013805 + 0x3fefff0943c53bd1, 0xbf8f6a296ab997ca, // 0.99988, -0.015339 + 0x3feffed57398d2b7, 0xbf9147270dad7132, // 0.99986, -0.016873 + 0x3feffe9cb44b51a1, 0xbf92d936bbe30efd, // 0.99983, -0.018407 + 0x3feffe5f05e578db, 0xbf946b4381fce81c, // 0.9998, -0.01994 + 0x3feffe1c6870cb77, 0xbf95fd4d21fab226, // 0.99977, -0.021474 + 0x3feffdd4dbf78f52, 0xbf978f535ddc9f03, // 0.99974, -0.023008 + 0x3feffd886084cd0d, 0xbf992155f7a3667e, // 0.9997, -0.024541 + 0x3feffd36f624500c, 0xbf9ab354b1504fca, // 0.99966, -0.026075 + 0x3feffce09ce2a679, 0xbf9c454f4ce53b1c, // 0.99962, -0.027608 + 0x3feffc8554cd213a, 0xbf9dd7458c64ab39, // 0.99958, -0.029142 + 0x3feffc251df1d3f8, 0xbf9f693731d1cf01, // 0.99953, -0.030675 + 0x3feffbbff85f9515, 0xbfa07d91ff984580, // 0.99948, -0.032208 + 0x3feffb55e425fdae, 0xbfa14685db42c17e, // 0.99943, -0.033741 + 0x3feffae6e1556998, 0xbfa20f770ceb11c6, // 0.99938, -0.035274 + 0x3feffa72effef75d, 0xbfa2d865759455cd, // 0.99932, -0.036807 + 0x3feff9fa10348837, 0xbfa3a150f6421afc, // 0.99926, -0.03834 + 0x3feff97c4208c014, 0xbfa46a396ff86179, // 0.9992, -0.039873 + 0x3feff8f9858f058b, 0xbfa5331ec3bba0eb, // 0.99914, -0.041406 + 0x3feff871dadb81df, 0xbfa5fc00d290cd43, // 0.99908, -0.042938 + 0x3feff7e5420320f9, 0xbfa6c4df7d7d5b84, // 0.99901, -0.044471 + 0x3feff753bb1b9164, 0xbfa78dbaa5874685, // 0.99894, -0.046003 + 0x3feff6bd463b444d, 0xbfa856922bb513c1, // 0.99887, -0.047535 + 0x3feff621e3796d7e, 0xbfa91f65f10dd814, // 0.9988, -0.049068 + 0x3feff58192ee0358, 0xbfa9e835d6993c87, // 0.99872, -0.0506 + 0x3feff4dc54b1bed3, 0xbfaab101bd5f8317, // 0.99864, -0.052132 + 0x3feff43228de1b77, 0xbfab79c986698b78, // 0.99856, -0.053664 + 0x3feff3830f8d575c, 0xbfac428d12c0d7e3, // 0.99848, -0.055195 + 0x3feff2cf08da7321, 0xbfad0b4c436f91d0, // 0.99839, -0.056727 + 0x3feff21614e131ed, 0xbfadd406f9808ec8, // 0.9983, -0.058258 + 0x3feff15833be1965, 0xbfae9cbd15ff5527, // 0.99821, -0.05979 + 0x3feff095658e71ad, 0xbfaf656e79f820e0, // 0.99812, -0.061321 + 0x3fefefcdaa704562, 0xbfb0170d833bf421, // 0.99802, -0.062852 + 0x3fefef0102826191, 0xbfb07b614e463064, // 0.99793, -0.064383 + 0x3fefee2f6de455ba, 0xbfb0dfb28ea201e6, // 0.99783, -0.065913 + 0x3fefed58ecb673c4, 0xbfb1440134d709b2, // 0.99772, -0.067444 + 0x3fefec7d7f19cffc, 0xbfb1a84d316d4f8a, // 0.99762, -0.068974 + 0x3fefeb9d2530410f, 0xbfb20c9674ed444c, // 0.99751, -0.070505 + 0x3fefeab7df1c6005, 0xbfb270dcefdfc45b, // 0.9974, -0.072035 + 0x3fefe9cdad01883a, 0xbfb2d52092ce19f6, // 0.99729, -0.073565 + 0x3fefe8de8f03d75c, 0xbfb339614e41ffa5, // 0.99718, -0.075094 + 0x3fefe7ea85482d60, 0xbfb39d9f12c5a299, // 0.99706, -0.076624 + 0x3fefe6f18ff42c84, 0xbfb401d9d0e3a507, // 0.99694, -0.078153 + 0x3fefe5f3af2e3940, 0xbfb4661179272096, // 0.99682, -0.079682 + 0x3fefe4f0e31d7a4a, 0xbfb4ca45fc1ba8b6, // 0.9967, -0.081211 + 0x3fefe3e92be9d886, 0xbfb52e774a4d4d0a, // 0.99657, -0.08274 + 0x3fefe2dc89bbff08, 0xbfb592a554489bc8, // 0.99644, -0.084269 + 0x3fefe1cafcbd5b09, 0xbfb5f6d00a9aa419, // 0.99631, -0.085797 + 0x3fefe0b485181be3, 0xbfb65af75dd0f87b, // 0.99618, -0.087326 + 0x3fefdf9922f73307, 0xbfb6bf1b3e79b129, // 0.99604, -0.088854 + 0x3fefde78d68653fd, 0xbfb7233b9d236e71, // 0.99591, -0.090381 + 0x3fefdd539ff1f456, 0xbfb787586a5d5b21, // 0.99577, -0.091909 + 0x3fefdc297f674ba9, 0xbfb7eb7196b72ee4, // 0.99563, -0.093436 + 0x3fefdafa7514538c, 0xbfb84f8712c130a0, // 0.99548, -0.094963 + 0x3fefd9c68127c78c, 0xbfb8b398cf0c38e0, // 0.99533, -0.09649 + 0x3fefd88da3d12526, 0xbfb917a6bc29b42c, // 0.99518, -0.098017 + 0x3fefd74fdd40abbf, 0xbfb97bb0caaba56f, // 0.99503, -0.099544 + 0x3fefd60d2da75c9e, 0xbfb9dfb6eb24a85c, // 0.99488, -0.10107 + 0x3fefd4c59536fae4, 0xbfba43b90e27f3c4, // 0.99472, -0.1026 + 0x3fefd37914220b84, 0xbfbaa7b724495c04, // 0.99456, -0.10412 + 0x3fefd227aa9bd53b, 0xbfbb0bb11e1d5559, // 0.9944, -0.10565 + 0x3fefd0d158d86087, 0xbfbb6fa6ec38f64c, // 0.99424, -0.10717 + 0x3fefcf761f0c77a3, 0xbfbbd3987f31fa0e, // 0.99407, -0.1087 + 0x3fefce15fd6da67b, 0xbfbc3785c79ec2d5, // 0.99391, -0.11022 + 0x3fefccb0f4323aa3, 0xbfbc9b6eb6165c42, // 0.99374, -0.11175 + 0x3fefcb4703914354, 0xbfbcff533b307dc1, // 0.99356, -0.11327 + 0x3fefc9d82bc2915e, 0xbfbd633347858ce4, // 0.99339, -0.11479 + 0x3fefc8646cfeb721, 0xbfbdc70ecbae9fc8, // 0.99321, -0.11632 + 0x3fefc6ebc77f0887, 0xbfbe2ae5b8457f77, // 0.99303, -0.11784 + 0x3fefc56e3b7d9af6, 0xbfbe8eb7fde4aa3e, // 0.99285, -0.11937 + 0x3fefc3ebc935454c, 0xbfbef2858d27561b, // 0.99267, -0.12089 + 0x3fefc26470e19fd3, 0xbfbf564e56a9730e, // 0.99248, -0.12241 + 0x3fefc0d832bf043a, 0xbfbfba124b07ad85, // 0.99229, -0.12393 + 0x3fefbf470f0a8d88, 0xbfc00ee8ad6fb85b, // 0.9921, -0.12545 + 0x3fefbdb106021816, 0xbfc040c5bb67747e, // 0.99191, -0.12698 + 0x3fefbc1617e44186, 0xbfc072a047ba831d, // 0.99171, -0.1285 + 0x3fefba7644f068b5, 0xbfc0a4784ab8bf1d, // 0.99151, -0.13002 + 0x3fefb8d18d66adb7, 0xbfc0d64dbcb26786, // 0.99131, -0.13154 + 0x3fefb727f187f1c7, 0xbfc1082095f820b0, // 0.99111, -0.13306 + 0x3fefb5797195d741, 0xbfc139f0cedaf576, // 0.9909, -0.13458 + 0x3fefb3c60dd2c199, 0xbfc16bbe5fac5865, // 0.9907, -0.1361 + 0x3fefb20dc681d54d, 0xbfc19d8940be24e7, // 0.99049, -0.13762 + 0x3fefb0509be6f7db, 0xbfc1cf516a62a077, // 0.99027, -0.13914 + 0x3fefae8e8e46cfbb, 0xbfc20116d4ec7bce, // 0.99006, -0.14066 + 0x3fefacc79de6c44f, 0xbfc232d978aed413, // 0.98984, -0.14218 + 0x3fefaafbcb0cfddc, 0xbfc264994dfd340a, // 0.98962, -0.1437 + 0x3fefa92b1600657c, 0xbfc296564d2b953e, // 0.9894, -0.14521 + 0x3fefa7557f08a517, 0xbfc2c8106e8e613a, // 0.98918, -0.14673 + 0x3fefa57b066e2754, 0xbfc2f9c7aa7a72af, // 0.98895, -0.14825 + 0x3fefa39bac7a1791, 0xbfc32b7bf94516a7, // 0.98872, -0.14976 + 0x3fefa1b7717661d5, 0xbfc35d2d53440db2, // 0.98849, -0.15128 + 0x3fef9fce55adb2c8, 0xbfc38edbb0cd8d14, // 0.98826, -0.1528 + 0x3fef9de0596b77a3, 0xbfc3c0870a383ff6, // 0.98802, -0.15431 + 0x3fef9bed7cfbde29, 0xbfc3f22f57db4893, // 0.98778, -0.15583 + 0x3fef99f5c0abd496, 0xbfc423d4920e4166, // 0.98754, -0.15734 + 0x3fef97f924c9099b, 0xbfc45576b1293e5a, // 0.9873, -0.15886 + 0x3fef95f7a9a1ec47, 0xbfc48715ad84cdf5, // 0.98706, -0.16037 + 0x3fef93f14f85ac08, 0xbfc4b8b17f79fa88, // 0.98681, -0.16189 + 0x3fef91e616c43891, 0xbfc4ea4a1f624b61, // 0.98656, -0.1634 + 0x3fef8fd5ffae41db, 0xbfc51bdf8597c5f2, // 0.98631, -0.16491 + 0x3fef8dc10a95380d, 0xbfc54d71aa74ef02, // 0.98605, -0.16643 + 0x3fef8ba737cb4b78, 0xbfc57f008654cbde, // 0.9858, -0.16794 + 0x3fef898887a36c84, 0xbfc5b08c1192e381, // 0.98554, -0.16945 + 0x3fef8764fa714ba9, 0xbfc5e214448b3fc6, // 0.98528, -0.17096 + 0x3fef853c9089595e, 0xbfc61399179a6e94, // 0.98501, -0.17247 + 0x3fef830f4a40c60c, 0xbfc6451a831d830d, // 0.98475, -0.17398 + 0x3fef80dd27ed8204, 0xbfc676987f7216b8, // 0.98448, -0.17549 + 0x3fef7ea629e63d6e, 0xbfc6a81304f64ab2, // 0.98421, -0.177 + 0x3fef7c6a50826840, 0xbfc6d98a0c08c8da, // 0.98394, -0.17851 + 0x3fef7a299c1a322a, 0xbfc70afd8d08c4ff, // 0.98366, -0.18002 + 0x3fef77e40d068a90, 0xbfc73c6d8055fe0a, // 0.98339, -0.18153 + 0x3fef7599a3a12077, 0xbfc76dd9de50bf31, // 0.98311, -0.18304 + 0x3fef734a60446279, 0xbfc79f429f59e11d, // 0.98282, -0.18455 + 0x3fef70f6434b7eb7, 0xbfc7d0a7bbd2cb1b, // 0.98254, -0.18606 + 0x3fef6e9d4d1262ca, 0xbfc802092c1d744b, // 0.98225, -0.18756 + 0x3fef6c3f7df5bbb7, 0xbfc83366e89c64c5, // 0.98196, -0.18907 + 0x3fef69dcd652f5de, 0xbfc864c0e9b2b6cf, // 0.98167, -0.19057 + 0x3fef677556883cee, 0xbfc8961727c41804, // 0.98138, -0.19208 + 0x3fef6508fef47bd5, 0xbfc8c7699b34ca7e, // 0.98108, -0.19359 + 0x3fef6297cff75cb0, 0xbfc8f8b83c69a60a, // 0.98079, -0.19509 + 0x3fef6021c9f148c2, 0xbfc92a0303c8194f, // 0.98048, -0.19659 + 0x3fef5da6ed43685d, 0xbfc95b49e9b62af9, // 0.98018, -0.1981 + 0x3fef5b273a4fa2d9, 0xbfc98c8ce69a7aec, // 0.97988, -0.1996 + 0x3fef58a2b1789e84, 0xbfc9bdcbf2dc4366, // 0.97957, -0.2011 + 0x3fef56195321c090, 0xbfc9ef0706e35a35, // 0.97926, -0.20261 + 0x3fef538b1faf2d07, 0xbfca203e1b1831da, // 0.97895, -0.20411 + 0x3fef50f81785c6b9, 0xbfca517127e3dabc, // 0.97863, -0.20561 + 0x3fef4e603b0b2f2d, 0xbfca82a025b00451, // 0.97832, -0.20711 + 0x3fef4bc38aa5c694, 0xbfcab3cb0ce6fe44, // 0.978, -0.20861 + 0x3fef492206bcabb4, 0xbfcae4f1d5f3b9ab, // 0.97768, -0.21011 + 0x3fef467bafb7bbe0, 0xbfcb16147941ca2a, // 0.97735, -0.21161 + 0x3fef43d085ff92dd, 0xbfcb4732ef3d6722, // 0.97703, -0.21311 + 0x3fef412089fd8adc, 0xbfcb784d30536cda, // 0.9767, -0.21461 + 0x3fef3e6bbc1bbc65, 0xbfcba96334f15dad, // 0.97637, -0.21611 + 0x3fef3bb21cc4fe47, 0xbfcbda74f5856330, // 0.97604, -0.2176 + 0x3fef38f3ac64e589, 0xbfcc0b826a7e4f63, // 0.9757, -0.2191 + 0x3fef36306b67c556, 0xbfcc3c8b8c4b9dd7, // 0.97536, -0.2206 + 0x3fef33685a3aaef0, 0xbfcc6d90535d74dc, // 0.97503, -0.22209 + 0x3fef309b794b719f, 0xbfcc9e90b824a6a9, // 0.97468, -0.22359 + 0x3fef2dc9c9089a9d, 0xbfcccf8cb312b286, // 0.97434, -0.22508 + 0x3fef2af349e17507, 0xbfcd00843c99c5f9, // 0.97399, -0.22658 + 0x3fef2817fc4609ce, 0xbfcd31774d2cbdee, // 0.97364, -0.22807 + 0x3fef2537e0a71f9f, 0xbfcd6265dd3f27e3, // 0.97329, -0.22957 + 0x3fef2252f7763ada, 0xbfcd934fe5454311, // 0.97294, -0.23106 + 0x3fef1f6941259d7a, 0xbfcdc4355db40195, // 0.97258, -0.23255 + 0x3fef1c7abe284708, 0xbfcdf5163f01099a, // 0.97223, -0.23404 + 0x3fef19876ef1f486, 0xbfce25f281a2b684, // 0.97187, -0.23553 + 0x3fef168f53f7205d, 0xbfce56ca1e101a1b, // 0.9715, -0.23702 + 0x3fef13926dad024e, 0xbfce879d0cc0fdaf, // 0.97114, -0.23851 + 0x3fef1090bc898f5f, 0xbfceb86b462de348, // 0.97077, -0.24 + 0x3fef0d8a410379c5, 0xbfcee934c2d006c7, // 0.9704, -0.24149 + 0x3fef0a7efb9230d7, 0xbfcf19f97b215f1a, // 0.97003, -0.24298 + 0x3fef076eecade0fa, 0xbfcf4ab9679c9f5c, // 0.96966, -0.24447 + 0x3fef045a14cf738c, 0xbfcf7b7480bd3801, // 0.96928, -0.24596 + 0x3fef014074708ed3, 0xbfcfac2abeff57ff, // 0.9689, -0.24744 + 0x3feefe220c0b95ec, 0xbfcfdcdc1adfedf8, // 0.96852, -0.24893 + 0x3feefafedc1ba8b7, 0xbfd006c4466e54af, // 0.96814, -0.25041 + 0x3feef7d6e51ca3c0, 0xbfd01f1806b9fdd2, // 0.96775, -0.2519 + 0x3feef4aa278b2032, 0xbfd037694a928cac, // 0.96737, -0.25338 + 0x3feef178a3e473c2, 0xbfd04fb80e37fdae, // 0.96698, -0.25487 + 0x3feeee425aa6b09a, 0xbfd068044deab002, // 0.96658, -0.25635 + 0x3feeeb074c50a544, 0xbfd0804e05eb661e, // 0.96619, -0.25783 + 0x3feee7c77961dc9e, 0xbfd09895327b465e, // 0.96579, -0.25931 + 0x3feee482e25a9dbc, 0xbfd0b0d9cfdbdb90, // 0.96539, -0.26079 + 0x3feee13987bbebdc, 0xbfd0c91bda4f158d, // 0.96499, -0.26227 + 0x3feeddeb6a078651, 0xbfd0e15b4e1749cd, // 0.96459, -0.26375 + 0x3feeda9889bfe86a, 0xbfd0f998277733f7, // 0.96418, -0.26523 + 0x3feed740e7684963, 0xbfd111d262b1f677, // 0.96378, -0.26671 + 0x3feed3e483849c51, 0xbfd12a09fc0b1b12, // 0.96337, -0.26819 + 0x3feed0835e999009, 0xbfd1423eefc69378, // 0.96295, -0.26967 + 0x3feecd1d792c8f10, 0xbfd15a713a28b9d9, // 0.96254, -0.27115 + 0x3feec9b2d3c3bf84, 0xbfd172a0d7765177, // 0.96212, -0.27262 + 0x3feec6436ee60309, 0xbfd18acdc3f4873a, // 0.9617, -0.2741 + 0x3feec2cf4b1af6b2, 0xbfd1a2f7fbe8f243, // 0.96128, -0.27557 + 0x3feebf5668eaf2ef, 0xbfd1bb1f7b999480, // 0.96086, -0.27705 + 0x3feebbd8c8df0b74, 0xbfd1d3443f4cdb3d, // 0.96043, -0.27852 + 0x3feeb8566b810f2a, 0xbfd1eb6643499fbb, // 0.96, -0.27999 + 0x3feeb4cf515b8811, 0xbfd2038583d727bd, // 0.95957, -0.28146 + 0x3feeb1437af9bb34, 0xbfd21ba1fd3d2623, // 0.95914, -0.28294 + 0x3feeadb2e8e7a88e, 0xbfd233bbabc3bb72, // 0.9587, -0.28441 + 0x3feeaa1d9bb20af3, 0xbfd24bd28bb37672, // 0.95827, -0.28588 + 0x3feea68393e65800, 0xbfd263e6995554ba, // 0.95783, -0.28735 + 0x3feea2e4d212c000, 0xbfd27bf7d0f2c346, // 0.95738, -0.28882 + 0x3fee9f4156c62dda, 0xbfd294062ed59f05, // 0.95694, -0.29028 + 0x3fee9b99229046f8, 0xbfd2ac11af483572, // 0.95649, -0.29175 + 0x3fee97ec36016b30, 0xbfd2c41a4e954520, // 0.95605, -0.29322 + 0x3fee943a91aab4b4, 0xbfd2dc200907fe51, // 0.95559, -0.29469 + 0x3fee9084361df7f3, 0xbfd2f422daec0386, // 0.95514, -0.29615 + 0x3fee8cc923edc388, 0xbfd30c22c08d6a13, // 0.95469, -0.29762 + 0x3fee89095bad6025, 0xbfd3241fb638baaf, // 0.95423, -0.29908 + 0x3fee8544ddf0d075, 0xbfd33c19b83af207, // 0.95377, -0.30054 + 0x3fee817bab4cd10d, 0xbfd35410c2e18152, // 0.95331, -0.30201 + 0x3fee7dadc456d850, 0xbfd36c04d27a4edf, // 0.95284, -0.30347 + 0x3fee79db29a5165a, 0xbfd383f5e353b6aa, // 0.95238, -0.30493 + 0x3fee7603dbce74e9, 0xbfd39be3f1bc8aef, // 0.95191, -0.30639 + 0x3fee7227db6a9744, 0xbfd3b3cefa0414b7, // 0.95144, -0.30785 + 0x3fee6e472911da27, 0xbfd3cbb6f87a146e, // 0.95096, -0.30931 + 0x3fee6a61c55d53a7, 0xbfd3e39be96ec271, // 0.95049, -0.31077 + 0x3fee6677b0e6d31e, 0xbfd3fb7dc932cfa4, // 0.95001, -0.31222 + 0x3fee6288ec48e112, 0xbfd4135c94176602, // 0.94953, -0.31368 + 0x3fee5e95781ebf1c, 0xbfd42b38466e2928, // 0.94905, -0.31514 + 0x3fee5a9d550467d3, 0xbfd44310dc8936f0, // 0.94856, -0.31659 + 0x3fee56a083968eb1, 0xbfd45ae652bb2800, // 0.94807, -0.31805 + 0x3fee529f04729ffc, 0xbfd472b8a5571054, // 0.94759, -0.3195 + 0x3fee4e98d836c0af, 0xbfd48a87d0b07fd7, // 0.94709, -0.32096 + 0x3fee4a8dff81ce5e, 0xbfd4a253d11b82f3, // 0.9466, -0.32241 + 0x3fee467e7af35f23, 0xbfd4ba1ca2eca31c, // 0.94611, -0.32386 + 0x3fee426a4b2bc17e, 0xbfd4d1e24278e76a, // 0.94561, -0.32531 + 0x3fee3e5170cbfc46, 0xbfd4e9a4ac15d520, // 0.94511, -0.32676 + 0x3fee3a33ec75ce85, 0xbfd50163dc197047, // 0.9446, -0.32821 + 0x3fee3611becbaf69, 0xbfd5191fceda3c35, // 0.9441, -0.32966 + 0x3fee31eae870ce25, 0xbfd530d880af3c24, // 0.94359, -0.33111 + 0x3fee2dbf6a0911d9, 0xbfd5488dedeff3be, // 0.94308, -0.33255 + 0x3fee298f4439197a, 0xbfd5604012f467b4, // 0.94257, -0.334 + 0x3fee255a77a63bb8, 0xbfd577eeec151e47, // 0.94206, -0.33545 + 0x3fee212104f686e5, 0xbfd58f9a75ab1fdd, // 0.94154, -0.33689 + 0x3fee1ce2ecd0c0d8, 0xbfd5a742ac0ff78d, // 0.94103, -0.33833 + 0x3fee18a02fdc66d9, 0xbfd5bee78b9db3b6, // 0.94051, -0.33978 + 0x3fee1458cec1ad83, 0xbfd5d68910aee686, // 0.93998, -0.34122 + 0x3fee100cca2980ac, 0xbfd5ee27379ea693, // 0.93946, -0.34266 + 0x3fee0bbc22bd8349, 0xbfd605c1fcc88f63, // 0.93893, -0.3441 + 0x3fee0766d9280f54, 0xbfd61d595c88c203, // 0.9384, -0.34554 + 0x3fee030cee1435b8, 0xbfd634ed533be58e, // 0.93787, -0.34698 + 0x3fedfeae622dbe2b, 0xbfd64c7ddd3f27c6, // 0.93734, -0.34842 + 0x3fedfa4b3621271d, 0xbfd6640af6f03d9e, // 0.9368, -0.34986 + 0x3fedf5e36a9ba59c, 0xbfd67b949cad63ca, // 0.93627, -0.35129 + 0x3fedf177004b2534, 0xbfd6931acad55f51, // 0.93573, -0.35273 + 0x3feded05f7de47da, 0xbfd6aa9d7dc77e16, // 0.93518, -0.35416 + 0x3fede890520465ce, 0xbfd6c21cb1e39771, // 0.93464, -0.3556 + 0x3fede4160f6d8d81, 0xbfd6d998638a0cb5, // 0.93409, -0.35703 + 0x3feddf9730ca837b, 0xbfd6f1108f1bc9c5, // 0.93354, -0.35846 + 0x3feddb13b6ccc23d, 0xbfd7088530fa459e, // 0.93299, -0.3599 + 0x3fedd68ba2267a25, 0xbfd71ff6458782ec, // 0.93244, -0.36133 + 0x3fedd1fef38a915a, 0xbfd73763c9261092, // 0.93188, -0.36276 + 0x3fedcd6dabaca3a5, 0xbfd74ecdb8390a3e, // 0.93133, -0.36418 + 0x3fedc8d7cb410260, 0xbfd766340f2418f6, // 0.93077, -0.36561 + 0x3fedc43d52fcb453, 0xbfd77d96ca4b73a6, // 0.93021, -0.36704 + 0x3fedbf9e4395759a, 0xbfd794f5e613dfae, // 0.92964, -0.36847 + 0x3fedbafa9dc1b78d, 0xbfd7ac515ee2b172, // 0.92907, -0.36989 + 0x3fedb6526238a09b, 0xbfd7c3a9311dcce7, // 0.92851, -0.37132 + 0x3fedb1a591b20c38, 0xbfd7dafd592ba621, // 0.92794, -0.37274 + 0x3fedacf42ce68ab9, 0xbfd7f24dd37341e3, // 0.92736, -0.37416 + 0x3feda83e348f613b, 0xbfd8099a9c5c362d, // 0.92679, -0.37559 + 0x3feda383a9668988, 0xbfd820e3b04eaac4, // 0.92621, -0.37701 + 0x3fed9ec48c26b1f3, 0xbfd838290bb359c8, // 0.92563, -0.37843 + 0x3fed9a00dd8b3d46, 0xbfd84f6aaaf3903f, // 0.92505, -0.37985 + 0x3fed95389e50429b, 0xbfd866a88a792ea0, // 0.92447, -0.38127 + 0x3fed906bcf328d46, 0xbfd87de2a6aea963, // 0.92388, -0.38268 + 0x3fed8b9a70ef9cb4, 0xbfd89518fbff098e, // 0.92329, -0.3841 + 0x3fed86c48445a450, 0xbfd8ac4b86d5ed44, // 0.9227, -0.38552 + 0x3fed81ea09f38b63, 0xbfd8c37a439f884f, // 0.92211, -0.38693 + 0x3fed7d0b02b8ecf9, 0xbfd8daa52ec8a4af, // 0.92151, -0.38835 + 0x3fed78276f5617c6, 0xbfd8f1cc44bea329, // 0.92092, -0.38976 + 0x3fed733f508c0dff, 0xbfd908ef81ef7bd1, // 0.92032, -0.39117 + 0x3fed6e52a71c8547, 0xbfd9200ee2c9be97, // 0.91972, -0.39258 + 0x3fed696173c9e68b, 0xbfd9372a63bc93d7, // 0.91911, -0.39399 + 0x3fed646bb7574de5, 0xbfd94e420137bce3, // 0.91851, -0.3954 + 0x3fed5f7172888a7f, 0xbfd96555b7ab948f, // 0.9179, -0.39681 + 0x3fed5a72a6221e73, 0xbfd97c6583890fc2, // 0.91729, -0.39822 + 0x3fed556f52e93eb1, 0xbfd993716141bdfe, // 0.91668, -0.39962 + 0x3fed506779a3d2d9, 0xbfd9aa794d47c9ee, // 0.91606, -0.40103 + 0x3fed4b5b1b187524, 0xbfd9c17d440df9f2, // 0.91545, -0.40243 + 0x3fed464a380e7242, 0xbfd9d87d4207b0ab, // 0.91483, -0.40384 + 0x3fed4134d14dc93a, 0xbfd9ef7943a8ed8a, // 0.91421, -0.40524 + 0x3fed3c1ae79f2b4e, 0xbfda067145664d57, // 0.91359, -0.40664 + 0x3fed36fc7bcbfbdc, 0xbfda1d6543b50ac0, // 0.91296, -0.40804 + 0x3fed31d98e9e503a, 0xbfda34553b0afee5, // 0.91234, -0.40944 + 0x3fed2cb220e0ef9f, 0xbfda4b4127dea1e4, // 0.91171, -0.41084 + 0x3fed2786335f52fc, 0xbfda622906a70b63, // 0.91107, -0.41224 + 0x3fed2255c6e5a4e1, 0xbfda790cd3dbf31a, // 0.91044, -0.41364 + 0x3fed1d20dc40c15c, 0xbfda8fec8bf5b166, // 0.90981, -0.41503 + 0x3fed17e7743e35dc, 0xbfdaa6c82b6d3fc9, // 0.90917, -0.41643 + 0x3fed12a98fac410c, 0xbfdabd9faebc3980, // 0.90853, -0.41782 + 0x3fed0d672f59d2b9, 0xbfdad473125cdc08, // 0.90789, -0.41922 + 0x3fed082054168bac, 0xbfdaeb4252ca07ab, // 0.90724, -0.42061 + 0x3fed02d4feb2bd92, 0xbfdb020d6c7f4009, // 0.9066, -0.422 + 0x3fecfd852fff6ad4, 0xbfdb18d45bf8aca6, // 0.90595, -0.42339 + 0x3fecf830e8ce467b, 0xbfdb2f971db31972, // 0.9053, -0.42478 + 0x3fecf2d829f1b40e, 0xbfdb4655ae2bf757, // 0.90464, -0.42617 + 0x3feced7af43cc773, 0xbfdb5d1009e15cc0, // 0.90399, -0.42756 + 0x3fece819488344ce, 0xbfdb73c62d520624, // 0.90333, -0.42894 + 0x3fece2b32799a060, 0xbfdb8a7814fd5693, // 0.90267, -0.43033 + 0x3fecdd489254fe65, 0xbfdba125bd63583e, // 0.90201, -0.43171 + 0x3fecd7d9898b32f6, 0xbfdbb7cf2304bd01, // 0.90135, -0.43309 + 0x3fecd2660e12c1e6, 0xbfdbce744262deee, // 0.90068, -0.43448 + 0x3fecccee20c2de9f, 0xbfdbe51517ffc0d9, // 0.90002, -0.43586 + 0x3fecc771c2736c09, 0xbfdbfbb1a05e0edc, // 0.89935, -0.43724 + 0x3fecc1f0f3fcfc5c, 0xbfdc1249d8011ee7, // 0.89867, -0.43862 + 0x3fecbc6bb638d10b, 0xbfdc28ddbb6cf145, // 0.898, -0.43999 + 0x3fecb6e20a00da99, 0xbfdc3f6d47263129, // 0.89732, -0.44137 + 0x3fecb153f02fb87d, 0xbfdc55f877b23537, // 0.89665, -0.44275 + 0x3fecabc169a0b901, 0xbfdc6c7f4997000a, // 0.89597, -0.44412 + 0x3feca62a772fd919, 0xbfdc8301b95b40c2, // 0.89528, -0.4455 + 0x3feca08f19b9c449, 0xbfdc997fc3865388, // 0.8946, -0.44687 + 0x3fec9aef521bd480, 0xbfdcaff964a0421d, // 0.89391, -0.44824 + 0x3fec954b213411f5, 0xbfdcc66e9931c45d, // 0.89322, -0.44961 + 0x3fec8fa287e13305, 0xbfdcdcdf5dc440ce, // 0.89253, -0.45098 + 0x3fec89f587029c13, 0xbfdcf34baee1cd21, // 0.89184, -0.45235 + 0x3fec84441f785f61, 0xbfdd09b389152ec1, // 0.89115, -0.45372 + 0x3fec7e8e52233cf3, 0xbfdd2016e8e9db5b, // 0.89045, -0.45508 + 0x3fec78d41fe4a267, 0xbfdd3675caebf962, // 0.88975, -0.45645 + 0x3fec7315899eaad7, 0xbfdd4cd02ba8609c, // 0.88905, -0.45781 + 0x3fec6d5290341eb2, 0xbfdd632607ac9aa9, // 0.88835, -0.45918 + 0x3fec678b3488739b, 0xbfdd79775b86e389, // 0.88764, -0.46054 + 0x3fec61bf777fcc48, 0xbfdd8fc423c62a25, // 0.88693, -0.4619 + 0x3fec5bef59fef85a, 0xbfdda60c5cfa10d8, // 0.88622, -0.46326 + 0x3fec561adceb743e, 0xbfddbc5003b2edf8, // 0.88551, -0.46462 + 0x3fec5042012b6907, 0xbfddd28f1481cc58, // 0.8848, -0.46598 + 0x3fec4a64c7a5ac4c, 0xbfdde8c98bf86bd6, // 0.88408, -0.46733 + 0x3fec44833141c004, 0xbfddfeff66a941de, // 0.88336, -0.46869 + 0x3fec3e9d3ee7d262, 0xbfde1530a12779f4, // 0.88264, -0.47004 + 0x3fec38b2f180bdb1, 0xbfde2b5d3806f63b, // 0.88192, -0.4714 + 0x3fec32c449f60831, 0xbfde418527dc4ffa, // 0.8812, -0.47275 + 0x3fec2cd14931e3f1, 0xbfde57a86d3cd824, // 0.88047, -0.4741 + 0x3fec26d9f01f2eaf, 0xbfde6dc704be97e2, // 0.87974, -0.47545 + 0x3fec20de3fa971b0, 0xbfde83e0eaf85113, // 0.87901, -0.4768 + 0x3fec1ade38bce19b, 0xbfde99f61c817eda, // 0.87828, -0.47815 + 0x3fec14d9dc465e58, 0xbfdeb00695f25620, // 0.87755, -0.47949 + 0x3fec0ed12b3372e9, 0xbfdec61253e3c61b, // 0.87681, -0.48084 + 0x3fec08c426725549, 0xbfdedc1952ef78d5, // 0.87607, -0.48218 + 0x3fec02b2cef1e641, 0xbfdef21b8fafd3b5, // 0.87533, -0.48353 + 0x3febfc9d25a1b147, 0xbfdf081906bff7fd, // 0.87459, -0.48487 + 0x3febf6832b71ec5b, 0xbfdf1e11b4bbc35c, // 0.87384, -0.48621 + 0x3febf064e15377dd, 0xbfdf3405963fd068, // 0.87309, -0.48755 + 0x3febea424837de6d, 0xbfdf49f4a7e97729, // 0.87235, -0.48889 + 0x3febe41b611154c1, 0xbfdf5fdee656cda3, // 0.8716, -0.49023 + 0x3febddf02cd2b983, 0xbfdf75c44e26a852, // 0.87084, -0.49156 + 0x3febd7c0ac6f952a, 0xbfdf8ba4dbf89aba, // 0.87009, -0.4929 + 0x3febd18ce0dc19d6, 0xbfdfa1808c6cf7e0, // 0.86933, -0.49423 + 0x3febcb54cb0d2327, 0xbfdfb7575c24d2de, // 0.86857, -0.49557 + 0x3febc5186bf8361d, 0xbfdfcd2947c1ff57, // 0.86781, -0.4969 + 0x3febbed7c49380ea, 0xbfdfe2f64be7120f, // 0.86705, -0.49823 + 0x3febb892d5d5dad5, 0xbfdff8be6537615e, // 0.86628, -0.49956 + 0x3febb249a0b6c40d, 0xbfe00740c82b82e0, // 0.86551, -0.50089 + 0x3febabfc262e6586, 0xbfe0121fe4f56d2c, // 0.86474, -0.50221 + 0x3feba5aa673590d2, 0xbfe01cfc874c3eb7, // 0.86397, -0.50354 + 0x3feb9f5464c5bffc, 0xbfe027d6ad83287e, // 0.8632, -0.50486 + 0x3feb98fa1fd9155e, 0xbfe032ae55edbd95, // 0.86242, -0.50619 + 0x3feb929b996a5b7f, 0xbfe03d837edff370, // 0.86165, -0.50751 + 0x3feb8c38d27504e9, 0xbfe0485626ae221a, // 0.86087, -0.50883 + 0x3feb85d1cbf52c02, 0xbfe053264bad0483, // 0.86009, -0.51015 + 0x3feb7f6686e792ea, 0xbfe05df3ec31b8b6, // 0.8593, -0.51147 + 0x3feb78f70449a34b, 0xbfe068bf0691c028, // 0.85852, -0.51279 + 0x3feb728345196e3e, 0xbfe073879922ffed, // 0.85773, -0.5141 + 0x3feb6c0b4a55ac17, 0xbfe07e4da23bc102, // 0.85694, -0.51542 + 0x3feb658f14fdbc47, 0xbfe089112032b08c, // 0.85615, -0.51673 + 0x3feb5f0ea611a532, 0xbfe093d2115ee018, // 0.85535, -0.51804 + 0x3feb5889fe921405, 0xbfe09e907417c5e1, // 0.85456, -0.51936 + 0x3feb52011f805c92, 0xbfe0a94c46b53d0b, // 0.85376, -0.52067 + 0x3feb4b7409de7925, 0xbfe0b405878f85ec, // 0.85296, -0.52198 + 0x3feb44e2beaf0a61, 0xbfe0bebc34ff4646, // 0.85216, -0.52328 + 0x3feb3e4d3ef55712, 0xbfe0c9704d5d898f, // 0.85136, -0.52459 + 0x3feb37b38bb54c09, 0xbfe0d421cf03c12b, // 0.85055, -0.5259 + 0x3feb3115a5f37bf4, 0xbfe0ded0b84bc4b5, // 0.84974, -0.5272 + 0x3feb2a738eb51f33, 0xbfe0e97d078fd23b, // 0.84893, -0.5285 + 0x3feb23cd470013b4, 0xbfe0f426bb2a8e7d, // 0.84812, -0.5298 + 0x3feb1d22cfdadcc6, 0xbfe0fecdd1770537, // 0.84731, -0.5311 + 0x3feb16742a4ca2f5, 0xbfe1097248d0a956, // 0.84649, -0.5324 + 0x3feb0fc1575d33db, 0xbfe114141f935545, // 0.84567, -0.5337 + 0x3feb090a58150200, 0xbfe11eb3541b4b22, // 0.84485, -0.535 + 0x3feb024f2d7d24a9, 0xbfe1294fe4c5350a, // 0.84403, -0.53629 + 0x3feafb8fd89f57b6, 0xbfe133e9cfee254e, // 0.84321, -0.53759 + 0x3feaf4cc5a85fb73, 0xbfe13e8113f396c1, // 0.84238, -0.53888 + 0x3feaee04b43c1474, 0xbfe14915af336ceb, // 0.84155, -0.54017 + 0x3feae738e6cd4b67, 0xbfe153a7a00bf453, // 0.84073, -0.54146 + 0x3feae068f345ecef, 0xbfe15e36e4dbe2bc, // 0.83989, -0.54275 + 0x3fead994dab2e979, 0xbfe168c37c025764, // 0.83906, -0.54404 + 0x3fead2bc9e21d511, 0xbfe1734d63dedb49, // 0.83822, -0.54532 + 0x3feacbe03ea0e73b, 0xbfe17dd49ad16161, // 0.83739, -0.54661 + 0x3feac4ffbd3efac8, 0xbfe188591f3a46e5, // 0.83655, -0.54789 + 0x3feabe1b1b0b8dac, 0xbfe192daef7a5386, // 0.83571, -0.54918 + 0x3feab7325916c0d4, 0xbfe19d5a09f2b9b8, // 0.83486, -0.55046 + 0x3feab045787157ff, 0xbfe1a7d66d0516e6, // 0.83402, -0.55174 + 0x3feaa9547a2cb98e, 0xbfe1b250171373be, // 0.83317, -0.55302 + 0x3feaa25f5f5aee60, 0xbfe1bcc706804467, // 0.83232, -0.55429 + 0x3fea9b66290ea1a3, 0xbfe1c73b39ae68c8, // 0.83147, -0.55557 + 0x3fea9468d85b20ae, 0xbfe1d1acaf012cc2, // 0.83062, -0.55685 + 0x3fea8d676e545ad2, 0xbfe1dc1b64dc4872, // 0.82976, -0.55812 + 0x3fea8661ec0ee133, 0xbfe1e68759a3e074, // 0.8289, -0.55939 + 0x3fea7f58529fe69d, 0xbfe1f0f08bbc861b, // 0.82805, -0.56066 + 0x3fea784aa31d3f55, 0xbfe1fb56f98b37b8, // 0.82718, -0.56193 + 0x3fea7138de9d60f5, 0xbfe205baa17560d6, // 0.82632, -0.5632 + 0x3fea6a230637623b, 0xbfe2101b81e0da78, // 0.82546, -0.56447 + 0x3fea63091b02fae2, 0xbfe21a799933eb58, // 0.82459, -0.56573 + 0x3fea5beb1e188375, 0xbfe224d4e5d5482e, // 0.82372, -0.567 + 0x3fea54c91090f524, 0xbfe22f2d662c13e1, // 0.82285, -0.56826 + 0x3fea4da2f385e997, 0xbfe23983189fdfd5, // 0.82198, -0.56952 + 0x3fea4678c8119ac8, 0xbfe243d5fb98ac1f, // 0.8211, -0.57078 + 0x3fea3f4a8f4ee2d2, 0xbfe24e260d7ee7c9, // 0.82023, -0.57204 + 0x3fea38184a593bc6, 0xbfe258734cbb7110, // 0.81935, -0.5733 + 0x3fea30e1fa4cbf81, 0xbfe262bdb7b795a2, // 0.81847, -0.57455 + 0x3fea29a7a0462782, 0xbfe26d054cdd12df, // 0.81758, -0.57581 + 0x3fea22693d62ccb9, 0xbfe2774a0a961612, // 0.8167, -0.57706 + 0x3fea1b26d2c0a75e, 0xbfe2818bef4d3cba, // 0.81581, -0.57831 + 0x3fea13e0617e4ec7, 0xbfe28bcaf96d94ba, // 0.81493, -0.57956 + 0x3fea0c95eabaf937, 0xbfe2960727629ca8, // 0.81404, -0.58081 + 0x3fea05476f967bb5, 0xbfe2a040779843fb, // 0.81314, -0.58206 + 0x3fe9fdf4f13149de, 0xbfe2aa76e87aeb58, // 0.81225, -0.58331 + 0x3fe9f69e70ac75bc, 0xbfe2b4aa787764c4, // 0.81135, -0.58455 + 0x3fe9ef43ef29af94, 0xbfe2bedb25faf3ea, // 0.81046, -0.5858 + 0x3fe9e7e56dcb45bd, 0xbfe2c908ef734e57, // 0.80956, -0.58704 + 0x3fe9e082edb42472, 0xbfe2d333d34e9bb7, // 0.80866, -0.58828 + 0x3fe9d91c7007d5a6, 0xbfe2dd5bcffb7616, // 0.80775, -0.58952 + 0x3fe9d1b1f5ea80d6, 0xbfe2e780e3e8ea16, // 0.80685, -0.59076 + 0x3fe9ca438080eadb, 0xbfe2f1a30d86773a, // 0.80594, -0.592 + 0x3fe9c2d110f075c3, 0xbfe2fbc24b441015, // 0.80503, -0.59323 + 0x3fe9bb5aa85f2098, 0xbfe305de9b921a94, // 0.80412, -0.59447 + 0x3fe9b3e047f38741, 0xbfe30ff7fce17035, // 0.80321, -0.5957 + 0x3fe9ac61f0d4e247, 0xbfe31a0e6da35e44, // 0.80229, -0.59693 + 0x3fe9a4dfa42b06b2, 0xbfe32421ec49a620, // 0.80138, -0.59816 + 0x3fe99d59631e65d5, 0xbfe32e3277467d6b, // 0.80046, -0.59939 + 0x3fe995cf2ed80d22, 0xbfe338400d0c8e57, // 0.79954, -0.60062 + 0x3fe98e410881a600, 0xbfe3424aac0ef7d6, // 0.79861, -0.60184 + 0x3fe986aef1457594, 0xbfe34c5252c14de1, // 0.79769, -0.60307 + 0x3fe97f18ea4e5c9e, 0xbfe35656ff9799ae, // 0.79676, -0.60429 + 0x3fe9777ef4c7d742, 0xbfe36058b10659f3, // 0.79584, -0.60551 + 0x3fe96fe111ddfce0, 0xbfe36a576582831b, // 0.79491, -0.60673 + 0x3fe9683f42bd7fe1, 0xbfe374531b817f8d, // 0.79398, -0.60795 + 0x3fe960998893ad8c, 0xbfe37e4bd1792fe2, // 0.79304, -0.60917 + 0x3fe958efe48e6dd7, 0xbfe3884185dfeb22, // 0.79211, -0.61038 + 0x3fe9514257dc4335, 0xbfe39234372c7f04, // 0.79117, -0.6116 + 0x3fe94990e3ac4a6c, 0xbfe39c23e3d63029, // 0.79023, -0.61281 + 0x3fe941db892e3a65, 0xbfe3a6108a54ba58, // 0.78929, -0.61402 + 0x3fe93a22499263fc, 0xbfe3affa292050b9, // 0.78835, -0.61523 + 0x3fe932652609b1cf, 0xbfe3b9e0beb19e18, // 0.7874, -0.61644 + 0x3fe92aa41fc5a815, 0xbfe3c3c44981c517, // 0.78646, -0.61765 + 0x3fe922df37f8646a, 0xbfe3cda4c80a6076, // 0.78551, -0.61885 + 0x3fe91b166fd49da2, 0xbfe3d78238c58343, // 0.78456, -0.62006 + 0x3fe91349c88da398, 0xbfe3e15c9a2db922, // 0.7836, -0.62126 + 0x3fe90b7943575efe, 0xbfe3eb33eabe0680, // 0.78265, -0.62246 + 0x3fe903a4e1665133, 0xbfe3f50828f1e8d2, // 0.78169, -0.62366 + 0x3fe8fbcca3ef940d, 0xbfe3fed9534556d4, // 0.78074, -0.62486 + 0x3fe8f3f08c28d9ac, 0xbfe408a76834c0c0, // 0.77978, -0.62606 + 0x3fe8ec109b486c49, 0xbfe41272663d108c, // 0.77882, -0.62725 + 0x3fe8e42cd2852e0a, 0xbfe41c3a4bdbaa26, // 0.77785, -0.62845 + 0x3fe8dc45331698cc, 0xbfe425ff178e6bb1, // 0.77689, -0.62964 + 0x3fe8d459be34bdfa, 0xbfe42fc0c7d3adbb, // 0.77592, -0.63083 + 0x3fe8cc6a75184655, 0xbfe4397f5b2a4380, // 0.77495, -0.63202 + 0x3fe8c47758fa71cb, 0xbfe4433ad0117b1d, // 0.77398, -0.63321 + 0x3fe8bc806b151741, 0xbfe44cf325091dd6, // 0.77301, -0.63439 + 0x3fe8b485aca2a468, 0xbfe456a858917046, // 0.77204, -0.63558 + 0x3fe8ac871ede1d88, 0xbfe4605a692b32a2, // 0.77106, -0.63676 + 0x3fe8a484c3031d50, 0xbfe46a095557a0f1, // 0.77008, -0.63794 + 0x3fe89c7e9a4dd4ab, 0xbfe473b51b987347, // 0.7691, -0.63912 + 0x3fe89474a5fb0a84, 0xbfe47d5dba6fde01, // 0.76812, -0.6403 + 0x3fe88c66e7481ba1, 0xbfe48703306091fe, // 0.76714, -0.64148 + 0x3fe884555f72fa6b, 0xbfe490a57bedbcdf, // 0.76615, -0.64266 + 0x3fe87c400fba2ebf, 0xbfe49a449b9b0938, // 0.76517, -0.64383 + 0x3fe87426f95cd5bd, 0xbfe4a3e08dec9ed6, // 0.76418, -0.645 + 0x3fe86c0a1d9aa195, 0xbfe4ad79516722f0, // 0.76319, -0.64618 + 0x3fe863e97db3d95a, 0xbfe4b70ee48fb869, // 0.7622, -0.64735 + 0x3fe85bc51ae958cc, 0xbfe4c0a145ec0004, // 0.7612, -0.64851 + 0x3fe8539cf67c9029, 0xbfe4ca30740218a3, // 0.76021, -0.64968 + 0x3fe84b7111af83f9, 0xbfe4d3bc6d589f80, // 0.75921, -0.65085 + 0x3fe843416dc4cce2, 0xbfe4dd453076b064, // 0.75821, -0.65201 + 0x3fe83b0e0bff976e, 0xbfe4e6cabbe3e5e9, // 0.75721, -0.65317 + 0x3fe832d6eda3a3e0, 0xbfe4f04d0e2859aa, // 0.75621, -0.65433 + 0x3fe82a9c13f545ff, 0xbfe4f9cc25cca486, // 0.7552, -0.65549 + 0x3fe8225d803964e5, 0xbfe503480159ded2, // 0.75419, -0.65665 + 0x3fe81a1b33b57acc, 0xbfe50cc09f59a09b, // 0.75319, -0.65781 + 0x3fe811d52faf94dc, 0xbfe51635fe5601d7, // 0.75218, -0.65896 + 0x3fe8098b756e52fa, 0xbfe51fa81cd99aa6, // 0.75117, -0.66011 + 0x3fe8013e0638e795, 0xbfe52916f96f8388, // 0.75015, -0.66127 + 0x3fe7f8ece3571771, 0xbfe5328292a35596, // 0.74914, -0.66242 + 0x3fe7f0980e113978, 0xbfe53beae7012abe, // 0.74812, -0.66356 + 0x3fe7e83f87b03686, 0xbfe5454ff5159dfb, // 0.7471, -0.66471 + 0x3fe7dfe3517d8937, 0xbfe54eb1bb6dcb8f, // 0.74608, -0.66586 + 0x3fe7d7836cc33db2, 0xbfe5581038975137, // 0.74506, -0.667 + 0x3fe7cf1fdacbf179, 0xbfe5616b6b204e6e, // 0.74403, -0.66814 + 0x3fe7c6b89ce2d333, 0xbfe56ac35197649e, // 0.74301, -0.66928 + 0x3fe7be4db453a27c, 0xbfe57417ea8bb75c, // 0.74198, -0.67042 + 0x3fe7b5df226aafb0, 0xbfe57d69348cec9f, // 0.74095, -0.67156 + 0x3fe7ad6ce874dbb6, 0xbfe586b72e2b2cfd, // 0.73992, -0.67269 + 0x3fe7a4f707bf97d2, 0xbfe59001d5f723df, // 0.73889, -0.67383 + 0x3fe79c7d8198e56e, 0xbfe599492a81ffbc, // 0.73785, -0.67496 + 0x3fe79400574f55e4, 0xbfe5a28d2a5d7250, // 0.73682, -0.67609 + 0x3fe78b7f8a320a52, 0xbfe5abcdd41bb0d8, // 0.73578, -0.67722 + 0x3fe782fb1b90b35b, 0xbfe5b50b264f7448, // 0.73474, -0.67835 + 0x3fe77a730cbb9100, 0xbfe5be451f8bf980, // 0.7337, -0.67948 + 0x3fe771e75f037261, 0xbfe5c77bbe65018c, // 0.73265, -0.6806 + 0x3fe7695813b9b594, 0xbfe5d0af016ed1d4, // 0.73161, -0.68172 + 0x3fe760c52c304764, 0xbfe5d9dee73e345c, // 0.73056, -0.68285 + 0x3fe7582ea9b9a329, 0xbfe5e30b6e6877f3, // 0.72951, -0.68397 + 0x3fe74f948da8d28d, 0xbfe5ec3495837074, // 0.72846, -0.68508 + 0x3fe746f6d9516d59, 0xbfe5f55a5b2576f8, // 0.72741, -0.6862 + 0x3fe73e558e079942, 0xbfe5fe7cbde56a0f, // 0.72636, -0.68732 + 0x3fe735b0ad2009b2, 0xbfe6079bbc5aadfa, // 0.7253, -0.68843 + 0x3fe72d0837efff97, 0xbfe610b7551d2cde, // 0.72425, -0.68954 + 0x3fe7245c2fcd492a, 0xbfe619cf86c55702, // 0.72319, -0.69065 + 0x3fe71bac960e41bf, 0xbfe622e44fec22ff, // 0.72213, -0.69176 + 0x3fe712f96c09d18d, 0xbfe62bf5af2b0dfd, // 0.72107, -0.69287 + 0x3fe70a42b3176d7a, 0xbfe63503a31c1be8, // 0.72, -0.69397 + 0x3fe701886c8f16e6, 0xbfe63e0e2a59d7aa, // 0.71894, -0.69508 + 0x3fe6f8ca99c95b75, 0xbfe64715437f535b, // 0.71787, -0.69618 + 0x3fe6f0093c1f54de, 0xbfe65018ed28287f, // 0.7168, -0.69728 + 0x3fe6e74454eaa8ae, 0xbfe6591925f0783e, // 0.71573, -0.69838 + 0x3fe6de7be585881d, 0xbfe66215ec74eb91, // 0.71466, -0.69947 + 0x3fe6d5afef4aafcc, 0xbfe66b0f3f52b386, // 0.71358, -0.70057 + 0x3fe6cce07395679f, 0xbfe674051d27896c, // 0.71251, -0.70166 + 0x3fe6c40d73c18275, 0xbfe67cf78491af10, // 0.71143, -0.70275 + 0x3fe6bb36f12b5e06, 0xbfe685e6742feeef, // 0.71035, -0.70385 + 0x3fe6b25ced2fe29c, 0xbfe68ed1eaa19c71, // 0.70927, -0.70493 + 0x3fe6a97f692c82ea, 0xbfe697b9e686941c, // 0.70819, -0.70602 + 0x3fe6a09e667f3bcc, 0xbfe6a09e667f3bcc, // 0.70711, -0.70711 + 0x3fe697b9e686941c, 0xbfe6a97f692c82ea, // 0.70602, -0.70819 + 0x3fe68ed1eaa19c71, 0xbfe6b25ced2fe29c, // 0.70493, -0.70927 + 0x3fe685e6742feeef, 0xbfe6bb36f12b5e06, // 0.70385, -0.71035 + 0x3fe67cf78491af10, 0xbfe6c40d73c18275, // 0.70275, -0.71143 + 0x3fe674051d27896c, 0xbfe6cce07395679f, // 0.70166, -0.71251 + 0x3fe66b0f3f52b386, 0xbfe6d5afef4aafcc, // 0.70057, -0.71358 + 0x3fe66215ec74eb91, 0xbfe6de7be585881d, // 0.69947, -0.71466 + 0x3fe6591925f0783e, 0xbfe6e74454eaa8ae, // 0.69838, -0.71573 + 0x3fe65018ed28287f, 0xbfe6f0093c1f54de, // 0.69728, -0.7168 + 0x3fe64715437f535b, 0xbfe6f8ca99c95b75, // 0.69618, -0.71787 + 0x3fe63e0e2a59d7aa, 0xbfe701886c8f16e6, // 0.69508, -0.71894 + 0x3fe63503a31c1be8, 0xbfe70a42b3176d7a, // 0.69397, -0.72 + 0x3fe62bf5af2b0dfd, 0xbfe712f96c09d18d, // 0.69287, -0.72107 + 0x3fe622e44fec22ff, 0xbfe71bac960e41bf, // 0.69176, -0.72213 + 0x3fe619cf86c55702, 0xbfe7245c2fcd492a, // 0.69065, -0.72319 + 0x3fe610b7551d2cde, 0xbfe72d0837efff97, // 0.68954, -0.72425 + 0x3fe6079bbc5aadfa, 0xbfe735b0ad2009b2, // 0.68843, -0.7253 + 0x3fe5fe7cbde56a0f, 0xbfe73e558e079942, // 0.68732, -0.72636 + 0x3fe5f55a5b2576f8, 0xbfe746f6d9516d59, // 0.6862, -0.72741 + 0x3fe5ec3495837074, 0xbfe74f948da8d28d, // 0.68508, -0.72846 + 0x3fe5e30b6e6877f3, 0xbfe7582ea9b9a329, // 0.68397, -0.72951 + 0x3fe5d9dee73e345c, 0xbfe760c52c304764, // 0.68285, -0.73056 + 0x3fe5d0af016ed1d4, 0xbfe7695813b9b594, // 0.68172, -0.73161 + 0x3fe5c77bbe65018c, 0xbfe771e75f037261, // 0.6806, -0.73265 + 0x3fe5be451f8bf980, 0xbfe77a730cbb9100, // 0.67948, -0.7337 + 0x3fe5b50b264f7448, 0xbfe782fb1b90b35b, // 0.67835, -0.73474 + 0x3fe5abcdd41bb0d8, 0xbfe78b7f8a320a52, // 0.67722, -0.73578 + 0x3fe5a28d2a5d7250, 0xbfe79400574f55e4, // 0.67609, -0.73682 + 0x3fe599492a81ffbc, 0xbfe79c7d8198e56e, // 0.67496, -0.73785 + 0x3fe59001d5f723df, 0xbfe7a4f707bf97d2, // 0.67383, -0.73889 + 0x3fe586b72e2b2cfd, 0xbfe7ad6ce874dbb6, // 0.67269, -0.73992 + 0x3fe57d69348cec9f, 0xbfe7b5df226aafb0, // 0.67156, -0.74095 + 0x3fe57417ea8bb75c, 0xbfe7be4db453a27c, // 0.67042, -0.74198 + 0x3fe56ac35197649e, 0xbfe7c6b89ce2d333, // 0.66928, -0.74301 + 0x3fe5616b6b204e6e, 0xbfe7cf1fdacbf179, // 0.66814, -0.74403 + 0x3fe5581038975137, 0xbfe7d7836cc33db2, // 0.667, -0.74506 + 0x3fe54eb1bb6dcb8f, 0xbfe7dfe3517d8937, // 0.66586, -0.74608 + 0x3fe5454ff5159dfb, 0xbfe7e83f87b03686, // 0.66471, -0.7471 + 0x3fe53beae7012abe, 0xbfe7f0980e113978, // 0.66356, -0.74812 + 0x3fe5328292a35596, 0xbfe7f8ece3571771, // 0.66242, -0.74914 + 0x3fe52916f96f8388, 0xbfe8013e0638e795, // 0.66127, -0.75015 + 0x3fe51fa81cd99aa6, 0xbfe8098b756e52fa, // 0.66011, -0.75117 + 0x3fe51635fe5601d7, 0xbfe811d52faf94dc, // 0.65896, -0.75218 + 0x3fe50cc09f59a09b, 0xbfe81a1b33b57acc, // 0.65781, -0.75319 + 0x3fe503480159ded2, 0xbfe8225d803964e5, // 0.65665, -0.75419 + 0x3fe4f9cc25cca486, 0xbfe82a9c13f545ff, // 0.65549, -0.7552 + 0x3fe4f04d0e2859aa, 0xbfe832d6eda3a3e0, // 0.65433, -0.75621 + 0x3fe4e6cabbe3e5e9, 0xbfe83b0e0bff976e, // 0.65317, -0.75721 + 0x3fe4dd453076b064, 0xbfe843416dc4cce2, // 0.65201, -0.75821 + 0x3fe4d3bc6d589f80, 0xbfe84b7111af83f9, // 0.65085, -0.75921 + 0x3fe4ca30740218a3, 0xbfe8539cf67c9029, // 0.64968, -0.76021 + 0x3fe4c0a145ec0004, 0xbfe85bc51ae958cc, // 0.64851, -0.7612 + 0x3fe4b70ee48fb869, 0xbfe863e97db3d95a, // 0.64735, -0.7622 + 0x3fe4ad79516722f0, 0xbfe86c0a1d9aa195, // 0.64618, -0.76319 + 0x3fe4a3e08dec9ed6, 0xbfe87426f95cd5bd, // 0.645, -0.76418 + 0x3fe49a449b9b0938, 0xbfe87c400fba2ebf, // 0.64383, -0.76517 + 0x3fe490a57bedbcdf, 0xbfe884555f72fa6b, // 0.64266, -0.76615 + 0x3fe48703306091fe, 0xbfe88c66e7481ba1, // 0.64148, -0.76714 + 0x3fe47d5dba6fde01, 0xbfe89474a5fb0a84, // 0.6403, -0.76812 + 0x3fe473b51b987347, 0xbfe89c7e9a4dd4ab, // 0.63912, -0.7691 + 0x3fe46a095557a0f1, 0xbfe8a484c3031d50, // 0.63794, -0.77008 + 0x3fe4605a692b32a2, 0xbfe8ac871ede1d88, // 0.63676, -0.77106 + 0x3fe456a858917046, 0xbfe8b485aca2a468, // 0.63558, -0.77204 + 0x3fe44cf325091dd6, 0xbfe8bc806b151741, // 0.63439, -0.77301 + 0x3fe4433ad0117b1d, 0xbfe8c47758fa71cb, // 0.63321, -0.77398 + 0x3fe4397f5b2a4380, 0xbfe8cc6a75184655, // 0.63202, -0.77495 + 0x3fe42fc0c7d3adbb, 0xbfe8d459be34bdfa, // 0.63083, -0.77592 + 0x3fe425ff178e6bb1, 0xbfe8dc45331698cc, // 0.62964, -0.77689 + 0x3fe41c3a4bdbaa26, 0xbfe8e42cd2852e0a, // 0.62845, -0.77785 + 0x3fe41272663d108c, 0xbfe8ec109b486c49, // 0.62725, -0.77882 + 0x3fe408a76834c0c0, 0xbfe8f3f08c28d9ac, // 0.62606, -0.77978 + 0x3fe3fed9534556d4, 0xbfe8fbcca3ef940d, // 0.62486, -0.78074 + 0x3fe3f50828f1e8d2, 0xbfe903a4e1665133, // 0.62366, -0.78169 + 0x3fe3eb33eabe0680, 0xbfe90b7943575efe, // 0.62246, -0.78265 + 0x3fe3e15c9a2db922, 0xbfe91349c88da398, // 0.62126, -0.7836 + 0x3fe3d78238c58343, 0xbfe91b166fd49da2, // 0.62006, -0.78456 + 0x3fe3cda4c80a6076, 0xbfe922df37f8646a, // 0.61885, -0.78551 + 0x3fe3c3c44981c517, 0xbfe92aa41fc5a815, // 0.61765, -0.78646 + 0x3fe3b9e0beb19e18, 0xbfe932652609b1cf, // 0.61644, -0.7874 + 0x3fe3affa292050b9, 0xbfe93a22499263fc, // 0.61523, -0.78835 + 0x3fe3a6108a54ba58, 0xbfe941db892e3a65, // 0.61402, -0.78929 + 0x3fe39c23e3d63029, 0xbfe94990e3ac4a6c, // 0.61281, -0.79023 + 0x3fe39234372c7f04, 0xbfe9514257dc4335, // 0.6116, -0.79117 + 0x3fe3884185dfeb22, 0xbfe958efe48e6dd7, // 0.61038, -0.79211 + 0x3fe37e4bd1792fe2, 0xbfe960998893ad8c, // 0.60917, -0.79304 + 0x3fe374531b817f8d, 0xbfe9683f42bd7fe1, // 0.60795, -0.79398 + 0x3fe36a576582831b, 0xbfe96fe111ddfce0, // 0.60673, -0.79491 + 0x3fe36058b10659f3, 0xbfe9777ef4c7d742, // 0.60551, -0.79584 + 0x3fe35656ff9799ae, 0xbfe97f18ea4e5c9e, // 0.60429, -0.79676 + 0x3fe34c5252c14de1, 0xbfe986aef1457594, // 0.60307, -0.79769 + 0x3fe3424aac0ef7d6, 0xbfe98e410881a600, // 0.60184, -0.79861 + 0x3fe338400d0c8e57, 0xbfe995cf2ed80d22, // 0.60062, -0.79954 + 0x3fe32e3277467d6b, 0xbfe99d59631e65d5, // 0.59939, -0.80046 + 0x3fe32421ec49a620, 0xbfe9a4dfa42b06b2, // 0.59816, -0.80138 + 0x3fe31a0e6da35e44, 0xbfe9ac61f0d4e247, // 0.59693, -0.80229 + 0x3fe30ff7fce17035, 0xbfe9b3e047f38741, // 0.5957, -0.80321 + 0x3fe305de9b921a94, 0xbfe9bb5aa85f2098, // 0.59447, -0.80412 + 0x3fe2fbc24b441015, 0xbfe9c2d110f075c3, // 0.59323, -0.80503 + 0x3fe2f1a30d86773a, 0xbfe9ca438080eadb, // 0.592, -0.80594 + 0x3fe2e780e3e8ea16, 0xbfe9d1b1f5ea80d6, // 0.59076, -0.80685 + 0x3fe2dd5bcffb7616, 0xbfe9d91c7007d5a6, // 0.58952, -0.80775 + 0x3fe2d333d34e9bb7, 0xbfe9e082edb42472, // 0.58828, -0.80866 + 0x3fe2c908ef734e57, 0xbfe9e7e56dcb45bd, // 0.58704, -0.80956 + 0x3fe2bedb25faf3ea, 0xbfe9ef43ef29af94, // 0.5858, -0.81046 + 0x3fe2b4aa787764c4, 0xbfe9f69e70ac75bc, // 0.58455, -0.81135 + 0x3fe2aa76e87aeb58, 0xbfe9fdf4f13149de, // 0.58331, -0.81225 + 0x3fe2a040779843fb, 0xbfea05476f967bb5, // 0.58206, -0.81314 + 0x3fe2960727629ca8, 0xbfea0c95eabaf937, // 0.58081, -0.81404 + 0x3fe28bcaf96d94ba, 0xbfea13e0617e4ec7, // 0.57956, -0.81493 + 0x3fe2818bef4d3cba, 0xbfea1b26d2c0a75e, // 0.57831, -0.81581 + 0x3fe2774a0a961612, 0xbfea22693d62ccb9, // 0.57706, -0.8167 + 0x3fe26d054cdd12df, 0xbfea29a7a0462782, // 0.57581, -0.81758 + 0x3fe262bdb7b795a2, 0xbfea30e1fa4cbf81, // 0.57455, -0.81847 + 0x3fe258734cbb7110, 0xbfea38184a593bc6, // 0.5733, -0.81935 + 0x3fe24e260d7ee7c9, 0xbfea3f4a8f4ee2d2, // 0.57204, -0.82023 + 0x3fe243d5fb98ac1f, 0xbfea4678c8119ac8, // 0.57078, -0.8211 + 0x3fe23983189fdfd5, 0xbfea4da2f385e997, // 0.56952, -0.82198 + 0x3fe22f2d662c13e1, 0xbfea54c91090f524, // 0.56826, -0.82285 + 0x3fe224d4e5d5482e, 0xbfea5beb1e188375, // 0.567, -0.82372 + 0x3fe21a799933eb58, 0xbfea63091b02fae2, // 0.56573, -0.82459 + 0x3fe2101b81e0da78, 0xbfea6a230637623b, // 0.56447, -0.82546 + 0x3fe205baa17560d6, 0xbfea7138de9d60f5, // 0.5632, -0.82632 + 0x3fe1fb56f98b37b8, 0xbfea784aa31d3f55, // 0.56193, -0.82718 + 0x3fe1f0f08bbc861b, 0xbfea7f58529fe69d, // 0.56066, -0.82805 + 0x3fe1e68759a3e074, 0xbfea8661ec0ee133, // 0.55939, -0.8289 + 0x3fe1dc1b64dc4872, 0xbfea8d676e545ad2, // 0.55812, -0.82976 + 0x3fe1d1acaf012cc2, 0xbfea9468d85b20ae, // 0.55685, -0.83062 + 0x3fe1c73b39ae68c8, 0xbfea9b66290ea1a3, // 0.55557, -0.83147 + 0x3fe1bcc706804467, 0xbfeaa25f5f5aee60, // 0.55429, -0.83232 + 0x3fe1b250171373be, 0xbfeaa9547a2cb98e, // 0.55302, -0.83317 + 0x3fe1a7d66d0516e6, 0xbfeab045787157ff, // 0.55174, -0.83402 + 0x3fe19d5a09f2b9b8, 0xbfeab7325916c0d4, // 0.55046, -0.83486 + 0x3fe192daef7a5386, 0xbfeabe1b1b0b8dac, // 0.54918, -0.83571 + 0x3fe188591f3a46e5, 0xbfeac4ffbd3efac8, // 0.54789, -0.83655 + 0x3fe17dd49ad16161, 0xbfeacbe03ea0e73b, // 0.54661, -0.83739 + 0x3fe1734d63dedb49, 0xbfead2bc9e21d511, // 0.54532, -0.83822 + 0x3fe168c37c025764, 0xbfead994dab2e979, // 0.54404, -0.83906 + 0x3fe15e36e4dbe2bc, 0xbfeae068f345ecef, // 0.54275, -0.83989 + 0x3fe153a7a00bf453, 0xbfeae738e6cd4b67, // 0.54146, -0.84073 + 0x3fe14915af336ceb, 0xbfeaee04b43c1474, // 0.54017, -0.84155 + 0x3fe13e8113f396c1, 0xbfeaf4cc5a85fb73, // 0.53888, -0.84238 + 0x3fe133e9cfee254e, 0xbfeafb8fd89f57b6, // 0.53759, -0.84321 + 0x3fe1294fe4c5350a, 0xbfeb024f2d7d24a9, // 0.53629, -0.84403 + 0x3fe11eb3541b4b22, 0xbfeb090a58150200, // 0.535, -0.84485 + 0x3fe114141f935545, 0xbfeb0fc1575d33db, // 0.5337, -0.84567 + 0x3fe1097248d0a956, 0xbfeb16742a4ca2f5, // 0.5324, -0.84649 + 0x3fe0fecdd1770537, 0xbfeb1d22cfdadcc6, // 0.5311, -0.84731 + 0x3fe0f426bb2a8e7d, 0xbfeb23cd470013b4, // 0.5298, -0.84812 + 0x3fe0e97d078fd23b, 0xbfeb2a738eb51f33, // 0.5285, -0.84893 + 0x3fe0ded0b84bc4b5, 0xbfeb3115a5f37bf4, // 0.5272, -0.84974 + 0x3fe0d421cf03c12b, 0xbfeb37b38bb54c09, // 0.5259, -0.85055 + 0x3fe0c9704d5d898f, 0xbfeb3e4d3ef55712, // 0.52459, -0.85136 + 0x3fe0bebc34ff4646, 0xbfeb44e2beaf0a61, // 0.52328, -0.85216 + 0x3fe0b405878f85ec, 0xbfeb4b7409de7925, // 0.52198, -0.85296 + 0x3fe0a94c46b53d0b, 0xbfeb52011f805c92, // 0.52067, -0.85376 + 0x3fe09e907417c5e1, 0xbfeb5889fe921405, // 0.51936, -0.85456 + 0x3fe093d2115ee018, 0xbfeb5f0ea611a532, // 0.51804, -0.85535 + 0x3fe089112032b08c, 0xbfeb658f14fdbc47, // 0.51673, -0.85615 + 0x3fe07e4da23bc102, 0xbfeb6c0b4a55ac17, // 0.51542, -0.85694 + 0x3fe073879922ffed, 0xbfeb728345196e3e, // 0.5141, -0.85773 + 0x3fe068bf0691c028, 0xbfeb78f70449a34b, // 0.51279, -0.85852 + 0x3fe05df3ec31b8b6, 0xbfeb7f6686e792ea, // 0.51147, -0.8593 + 0x3fe053264bad0483, 0xbfeb85d1cbf52c02, // 0.51015, -0.86009 + 0x3fe0485626ae221a, 0xbfeb8c38d27504e9, // 0.50883, -0.86087 + 0x3fe03d837edff370, 0xbfeb929b996a5b7f, // 0.50751, -0.86165 + 0x3fe032ae55edbd95, 0xbfeb98fa1fd9155e, // 0.50619, -0.86242 + 0x3fe027d6ad83287e, 0xbfeb9f5464c5bffc, // 0.50486, -0.8632 + 0x3fe01cfc874c3eb7, 0xbfeba5aa673590d2, // 0.50354, -0.86397 + 0x3fe0121fe4f56d2c, 0xbfebabfc262e6586, // 0.50221, -0.86474 + 0x3fe00740c82b82e0, 0xbfebb249a0b6c40d, // 0.50089, -0.86551 + 0x3fdff8be6537615e, 0xbfebb892d5d5dad5, // 0.49956, -0.86628 + 0x3fdfe2f64be7120f, 0xbfebbed7c49380ea, // 0.49823, -0.86705 + 0x3fdfcd2947c1ff57, 0xbfebc5186bf8361d, // 0.4969, -0.86781 + 0x3fdfb7575c24d2de, 0xbfebcb54cb0d2327, // 0.49557, -0.86857 + 0x3fdfa1808c6cf7e0, 0xbfebd18ce0dc19d6, // 0.49423, -0.86933 + 0x3fdf8ba4dbf89aba, 0xbfebd7c0ac6f952a, // 0.4929, -0.87009 + 0x3fdf75c44e26a852, 0xbfebddf02cd2b983, // 0.49156, -0.87084 + 0x3fdf5fdee656cda3, 0xbfebe41b611154c1, // 0.49023, -0.8716 + 0x3fdf49f4a7e97729, 0xbfebea424837de6d, // 0.48889, -0.87235 + 0x3fdf3405963fd068, 0xbfebf064e15377dd, // 0.48755, -0.87309 + 0x3fdf1e11b4bbc35c, 0xbfebf6832b71ec5b, // 0.48621, -0.87384 + 0x3fdf081906bff7fd, 0xbfebfc9d25a1b147, // 0.48487, -0.87459 + 0x3fdef21b8fafd3b5, 0xbfec02b2cef1e641, // 0.48353, -0.87533 + 0x3fdedc1952ef78d5, 0xbfec08c426725549, // 0.48218, -0.87607 + 0x3fdec61253e3c61b, 0xbfec0ed12b3372e9, // 0.48084, -0.87681 + 0x3fdeb00695f25620, 0xbfec14d9dc465e58, // 0.47949, -0.87755 + 0x3fde99f61c817eda, 0xbfec1ade38bce19b, // 0.47815, -0.87828 + 0x3fde83e0eaf85113, 0xbfec20de3fa971b0, // 0.4768, -0.87901 + 0x3fde6dc704be97e2, 0xbfec26d9f01f2eaf, // 0.47545, -0.87974 + 0x3fde57a86d3cd824, 0xbfec2cd14931e3f1, // 0.4741, -0.88047 + 0x3fde418527dc4ffa, 0xbfec32c449f60831, // 0.47275, -0.8812 + 0x3fde2b5d3806f63b, 0xbfec38b2f180bdb1, // 0.4714, -0.88192 + 0x3fde1530a12779f4, 0xbfec3e9d3ee7d262, // 0.47004, -0.88264 + 0x3fddfeff66a941de, 0xbfec44833141c004, // 0.46869, -0.88336 + 0x3fdde8c98bf86bd6, 0xbfec4a64c7a5ac4c, // 0.46733, -0.88408 + 0x3fddd28f1481cc58, 0xbfec5042012b6907, // 0.46598, -0.8848 + 0x3fddbc5003b2edf8, 0xbfec561adceb743e, // 0.46462, -0.88551 + 0x3fdda60c5cfa10d8, 0xbfec5bef59fef85a, // 0.46326, -0.88622 + 0x3fdd8fc423c62a25, 0xbfec61bf777fcc48, // 0.4619, -0.88693 + 0x3fdd79775b86e389, 0xbfec678b3488739b, // 0.46054, -0.88764 + 0x3fdd632607ac9aa9, 0xbfec6d5290341eb2, // 0.45918, -0.88835 + 0x3fdd4cd02ba8609c, 0xbfec7315899eaad7, // 0.45781, -0.88905 + 0x3fdd3675caebf962, 0xbfec78d41fe4a267, // 0.45645, -0.88975 + 0x3fdd2016e8e9db5b, 0xbfec7e8e52233cf3, // 0.45508, -0.89045 + 0x3fdd09b389152ec1, 0xbfec84441f785f61, // 0.45372, -0.89115 + 0x3fdcf34baee1cd21, 0xbfec89f587029c13, // 0.45235, -0.89184 + 0x3fdcdcdf5dc440ce, 0xbfec8fa287e13305, // 0.45098, -0.89253 + 0x3fdcc66e9931c45d, 0xbfec954b213411f5, // 0.44961, -0.89322 + 0x3fdcaff964a0421d, 0xbfec9aef521bd480, // 0.44824, -0.89391 + 0x3fdc997fc3865388, 0xbfeca08f19b9c449, // 0.44687, -0.8946 + 0x3fdc8301b95b40c2, 0xbfeca62a772fd919, // 0.4455, -0.89528 + 0x3fdc6c7f4997000a, 0xbfecabc169a0b901, // 0.44412, -0.89597 + 0x3fdc55f877b23537, 0xbfecb153f02fb87d, // 0.44275, -0.89665 + 0x3fdc3f6d47263129, 0xbfecb6e20a00da99, // 0.44137, -0.89732 + 0x3fdc28ddbb6cf145, 0xbfecbc6bb638d10b, // 0.43999, -0.898 + 0x3fdc1249d8011ee7, 0xbfecc1f0f3fcfc5c, // 0.43862, -0.89867 + 0x3fdbfbb1a05e0edc, 0xbfecc771c2736c09, // 0.43724, -0.89935 + 0x3fdbe51517ffc0d9, 0xbfecccee20c2de9f, // 0.43586, -0.90002 + 0x3fdbce744262deee, 0xbfecd2660e12c1e6, // 0.43448, -0.90068 + 0x3fdbb7cf2304bd01, 0xbfecd7d9898b32f6, // 0.43309, -0.90135 + 0x3fdba125bd63583e, 0xbfecdd489254fe65, // 0.43171, -0.90201 + 0x3fdb8a7814fd5693, 0xbfece2b32799a060, // 0.43033, -0.90267 + 0x3fdb73c62d520624, 0xbfece819488344ce, // 0.42894, -0.90333 + 0x3fdb5d1009e15cc0, 0xbfeced7af43cc773, // 0.42756, -0.90399 + 0x3fdb4655ae2bf757, 0xbfecf2d829f1b40e, // 0.42617, -0.90464 + 0x3fdb2f971db31972, 0xbfecf830e8ce467b, // 0.42478, -0.9053 + 0x3fdb18d45bf8aca6, 0xbfecfd852fff6ad4, // 0.42339, -0.90595 + 0x3fdb020d6c7f4009, 0xbfed02d4feb2bd92, // 0.422, -0.9066 + 0x3fdaeb4252ca07ab, 0xbfed082054168bac, // 0.42061, -0.90724 + 0x3fdad473125cdc08, 0xbfed0d672f59d2b9, // 0.41922, -0.90789 + 0x3fdabd9faebc3980, 0xbfed12a98fac410c, // 0.41782, -0.90853 + 0x3fdaa6c82b6d3fc9, 0xbfed17e7743e35dc, // 0.41643, -0.90917 + 0x3fda8fec8bf5b166, 0xbfed1d20dc40c15c, // 0.41503, -0.90981 + 0x3fda790cd3dbf31a, 0xbfed2255c6e5a4e1, // 0.41364, -0.91044 + 0x3fda622906a70b63, 0xbfed2786335f52fc, // 0.41224, -0.91107 + 0x3fda4b4127dea1e4, 0xbfed2cb220e0ef9f, // 0.41084, -0.91171 + 0x3fda34553b0afee5, 0xbfed31d98e9e503a, // 0.40944, -0.91234 + 0x3fda1d6543b50ac0, 0xbfed36fc7bcbfbdc, // 0.40804, -0.91296 + 0x3fda067145664d57, 0xbfed3c1ae79f2b4e, // 0.40664, -0.91359 + 0x3fd9ef7943a8ed8a, 0xbfed4134d14dc93a, // 0.40524, -0.91421 + 0x3fd9d87d4207b0ab, 0xbfed464a380e7242, // 0.40384, -0.91483 + 0x3fd9c17d440df9f2, 0xbfed4b5b1b187524, // 0.40243, -0.91545 + 0x3fd9aa794d47c9ee, 0xbfed506779a3d2d9, // 0.40103, -0.91606 + 0x3fd993716141bdfe, 0xbfed556f52e93eb1, // 0.39962, -0.91668 + 0x3fd97c6583890fc2, 0xbfed5a72a6221e73, // 0.39822, -0.91729 + 0x3fd96555b7ab948f, 0xbfed5f7172888a7f, // 0.39681, -0.9179 + 0x3fd94e420137bce3, 0xbfed646bb7574de5, // 0.3954, -0.91851 + 0x3fd9372a63bc93d7, 0xbfed696173c9e68b, // 0.39399, -0.91911 + 0x3fd9200ee2c9be97, 0xbfed6e52a71c8547, // 0.39258, -0.91972 + 0x3fd908ef81ef7bd1, 0xbfed733f508c0dff, // 0.39117, -0.92032 + 0x3fd8f1cc44bea329, 0xbfed78276f5617c6, // 0.38976, -0.92092 + 0x3fd8daa52ec8a4af, 0xbfed7d0b02b8ecf9, // 0.38835, -0.92151 + 0x3fd8c37a439f884f, 0xbfed81ea09f38b63, // 0.38693, -0.92211 + 0x3fd8ac4b86d5ed44, 0xbfed86c48445a450, // 0.38552, -0.9227 + 0x3fd89518fbff098e, 0xbfed8b9a70ef9cb4, // 0.3841, -0.92329 + 0x3fd87de2a6aea963, 0xbfed906bcf328d46, // 0.38268, -0.92388 + 0x3fd866a88a792ea0, 0xbfed95389e50429b, // 0.38127, -0.92447 + 0x3fd84f6aaaf3903f, 0xbfed9a00dd8b3d46, // 0.37985, -0.92505 + 0x3fd838290bb359c8, 0xbfed9ec48c26b1f3, // 0.37843, -0.92563 + 0x3fd820e3b04eaac4, 0xbfeda383a9668988, // 0.37701, -0.92621 + 0x3fd8099a9c5c362d, 0xbfeda83e348f613b, // 0.37559, -0.92679 + 0x3fd7f24dd37341e3, 0xbfedacf42ce68ab9, // 0.37416, -0.92736 + 0x3fd7dafd592ba621, 0xbfedb1a591b20c38, // 0.37274, -0.92794 + 0x3fd7c3a9311dcce7, 0xbfedb6526238a09b, // 0.37132, -0.92851 + 0x3fd7ac515ee2b172, 0xbfedbafa9dc1b78d, // 0.36989, -0.92907 + 0x3fd794f5e613dfae, 0xbfedbf9e4395759a, // 0.36847, -0.92964 + 0x3fd77d96ca4b73a6, 0xbfedc43d52fcb453, // 0.36704, -0.93021 + 0x3fd766340f2418f6, 0xbfedc8d7cb410260, // 0.36561, -0.93077 + 0x3fd74ecdb8390a3e, 0xbfedcd6dabaca3a5, // 0.36418, -0.93133 + 0x3fd73763c9261092, 0xbfedd1fef38a915a, // 0.36276, -0.93188 + 0x3fd71ff6458782ec, 0xbfedd68ba2267a25, // 0.36133, -0.93244 + 0x3fd7088530fa459e, 0xbfeddb13b6ccc23d, // 0.3599, -0.93299 + 0x3fd6f1108f1bc9c5, 0xbfeddf9730ca837b, // 0.35846, -0.93354 + 0x3fd6d998638a0cb5, 0xbfede4160f6d8d81, // 0.35703, -0.93409 + 0x3fd6c21cb1e39771, 0xbfede890520465ce, // 0.3556, -0.93464 + 0x3fd6aa9d7dc77e16, 0xbfeded05f7de47da, // 0.35416, -0.93518 + 0x3fd6931acad55f51, 0xbfedf177004b2534, // 0.35273, -0.93573 + 0x3fd67b949cad63ca, 0xbfedf5e36a9ba59c, // 0.35129, -0.93627 + 0x3fd6640af6f03d9e, 0xbfedfa4b3621271d, // 0.34986, -0.9368 + 0x3fd64c7ddd3f27c6, 0xbfedfeae622dbe2b, // 0.34842, -0.93734 + 0x3fd634ed533be58e, 0xbfee030cee1435b8, // 0.34698, -0.93787 + 0x3fd61d595c88c203, 0xbfee0766d9280f54, // 0.34554, -0.9384 + 0x3fd605c1fcc88f63, 0xbfee0bbc22bd8349, // 0.3441, -0.93893 + 0x3fd5ee27379ea693, 0xbfee100cca2980ac, // 0.34266, -0.93946 + 0x3fd5d68910aee686, 0xbfee1458cec1ad83, // 0.34122, -0.93998 + 0x3fd5bee78b9db3b6, 0xbfee18a02fdc66d9, // 0.33978, -0.94051 + 0x3fd5a742ac0ff78d, 0xbfee1ce2ecd0c0d8, // 0.33833, -0.94103 + 0x3fd58f9a75ab1fdd, 0xbfee212104f686e5, // 0.33689, -0.94154 + 0x3fd577eeec151e47, 0xbfee255a77a63bb8, // 0.33545, -0.94206 + 0x3fd5604012f467b4, 0xbfee298f4439197a, // 0.334, -0.94257 + 0x3fd5488dedeff3be, 0xbfee2dbf6a0911d9, // 0.33255, -0.94308 + 0x3fd530d880af3c24, 0xbfee31eae870ce25, // 0.33111, -0.94359 + 0x3fd5191fceda3c35, 0xbfee3611becbaf69, // 0.32966, -0.9441 + 0x3fd50163dc197047, 0xbfee3a33ec75ce85, // 0.32821, -0.9446 + 0x3fd4e9a4ac15d520, 0xbfee3e5170cbfc46, // 0.32676, -0.94511 + 0x3fd4d1e24278e76a, 0xbfee426a4b2bc17e, // 0.32531, -0.94561 + 0x3fd4ba1ca2eca31c, 0xbfee467e7af35f23, // 0.32386, -0.94611 + 0x3fd4a253d11b82f3, 0xbfee4a8dff81ce5e, // 0.32241, -0.9466 + 0x3fd48a87d0b07fd7, 0xbfee4e98d836c0af, // 0.32096, -0.94709 + 0x3fd472b8a5571054, 0xbfee529f04729ffc, // 0.3195, -0.94759 + 0x3fd45ae652bb2800, 0xbfee56a083968eb1, // 0.31805, -0.94807 + 0x3fd44310dc8936f0, 0xbfee5a9d550467d3, // 0.31659, -0.94856 + 0x3fd42b38466e2928, 0xbfee5e95781ebf1c, // 0.31514, -0.94905 + 0x3fd4135c94176602, 0xbfee6288ec48e112, // 0.31368, -0.94953 + 0x3fd3fb7dc932cfa4, 0xbfee6677b0e6d31e, // 0.31222, -0.95001 + 0x3fd3e39be96ec271, 0xbfee6a61c55d53a7, // 0.31077, -0.95049 + 0x3fd3cbb6f87a146e, 0xbfee6e472911da27, // 0.30931, -0.95096 + 0x3fd3b3cefa0414b7, 0xbfee7227db6a9744, // 0.30785, -0.95144 + 0x3fd39be3f1bc8aef, 0xbfee7603dbce74e9, // 0.30639, -0.95191 + 0x3fd383f5e353b6aa, 0xbfee79db29a5165a, // 0.30493, -0.95238 + 0x3fd36c04d27a4edf, 0xbfee7dadc456d850, // 0.30347, -0.95284 + 0x3fd35410c2e18152, 0xbfee817bab4cd10d, // 0.30201, -0.95331 + 0x3fd33c19b83af207, 0xbfee8544ddf0d075, // 0.30054, -0.95377 + 0x3fd3241fb638baaf, 0xbfee89095bad6025, // 0.29908, -0.95423 + 0x3fd30c22c08d6a13, 0xbfee8cc923edc388, // 0.29762, -0.95469 + 0x3fd2f422daec0386, 0xbfee9084361df7f3, // 0.29615, -0.95514 + 0x3fd2dc200907fe51, 0xbfee943a91aab4b4, // 0.29469, -0.95559 + 0x3fd2c41a4e954520, 0xbfee97ec36016b30, // 0.29322, -0.95605 + 0x3fd2ac11af483572, 0xbfee9b99229046f8, // 0.29175, -0.95649 + 0x3fd294062ed59f05, 0xbfee9f4156c62dda, // 0.29028, -0.95694 + 0x3fd27bf7d0f2c346, 0xbfeea2e4d212c000, // 0.28882, -0.95738 + 0x3fd263e6995554ba, 0xbfeea68393e65800, // 0.28735, -0.95783 + 0x3fd24bd28bb37672, 0xbfeeaa1d9bb20af3, // 0.28588, -0.95827 + 0x3fd233bbabc3bb72, 0xbfeeadb2e8e7a88e, // 0.28441, -0.9587 + 0x3fd21ba1fd3d2623, 0xbfeeb1437af9bb34, // 0.28294, -0.95914 + 0x3fd2038583d727bd, 0xbfeeb4cf515b8811, // 0.28146, -0.95957 + 0x3fd1eb6643499fbb, 0xbfeeb8566b810f2a, // 0.27999, -0.96 + 0x3fd1d3443f4cdb3d, 0xbfeebbd8c8df0b74, // 0.27852, -0.96043 + 0x3fd1bb1f7b999480, 0xbfeebf5668eaf2ef, // 0.27705, -0.96086 + 0x3fd1a2f7fbe8f243, 0xbfeec2cf4b1af6b2, // 0.27557, -0.96128 + 0x3fd18acdc3f4873a, 0xbfeec6436ee60309, // 0.2741, -0.9617 + 0x3fd172a0d7765177, 0xbfeec9b2d3c3bf84, // 0.27262, -0.96212 + 0x3fd15a713a28b9d9, 0xbfeecd1d792c8f10, // 0.27115, -0.96254 + 0x3fd1423eefc69378, 0xbfeed0835e999009, // 0.26967, -0.96295 + 0x3fd12a09fc0b1b12, 0xbfeed3e483849c51, // 0.26819, -0.96337 + 0x3fd111d262b1f677, 0xbfeed740e7684963, // 0.26671, -0.96378 + 0x3fd0f998277733f7, 0xbfeeda9889bfe86a, // 0.26523, -0.96418 + 0x3fd0e15b4e1749cd, 0xbfeeddeb6a078651, // 0.26375, -0.96459 + 0x3fd0c91bda4f158d, 0xbfeee13987bbebdc, // 0.26227, -0.96499 + 0x3fd0b0d9cfdbdb90, 0xbfeee482e25a9dbc, // 0.26079, -0.96539 + 0x3fd09895327b465e, 0xbfeee7c77961dc9e, // 0.25931, -0.96579 + 0x3fd0804e05eb661e, 0xbfeeeb074c50a544, // 0.25783, -0.96619 + 0x3fd068044deab002, 0xbfeeee425aa6b09a, // 0.25635, -0.96658 + 0x3fd04fb80e37fdae, 0xbfeef178a3e473c2, // 0.25487, -0.96698 + 0x3fd037694a928cac, 0xbfeef4aa278b2032, // 0.25338, -0.96737 + 0x3fd01f1806b9fdd2, 0xbfeef7d6e51ca3c0, // 0.2519, -0.96775 + 0x3fd006c4466e54af, 0xbfeefafedc1ba8b7, // 0.25041, -0.96814 + 0x3fcfdcdc1adfedf8, 0xbfeefe220c0b95ec, // 0.24893, -0.96852 + 0x3fcfac2abeff57ff, 0xbfef014074708ed3, // 0.24744, -0.9689 + 0x3fcf7b7480bd3801, 0xbfef045a14cf738c, // 0.24596, -0.96928 + 0x3fcf4ab9679c9f5c, 0xbfef076eecade0fa, // 0.24447, -0.96966 + 0x3fcf19f97b215f1a, 0xbfef0a7efb9230d7, // 0.24298, -0.97003 + 0x3fcee934c2d006c7, 0xbfef0d8a410379c5, // 0.24149, -0.9704 + 0x3fceb86b462de348, 0xbfef1090bc898f5f, // 0.24, -0.97077 + 0x3fce879d0cc0fdaf, 0xbfef13926dad024e, // 0.23851, -0.97114 + 0x3fce56ca1e101a1b, 0xbfef168f53f7205d, // 0.23702, -0.9715 + 0x3fce25f281a2b684, 0xbfef19876ef1f486, // 0.23553, -0.97187 + 0x3fcdf5163f01099a, 0xbfef1c7abe284708, // 0.23404, -0.97223 + 0x3fcdc4355db40195, 0xbfef1f6941259d7a, // 0.23255, -0.97258 + 0x3fcd934fe5454311, 0xbfef2252f7763ada, // 0.23106, -0.97294 + 0x3fcd6265dd3f27e3, 0xbfef2537e0a71f9f, // 0.22957, -0.97329 + 0x3fcd31774d2cbdee, 0xbfef2817fc4609ce, // 0.22807, -0.97364 + 0x3fcd00843c99c5f9, 0xbfef2af349e17507, // 0.22658, -0.97399 + 0x3fcccf8cb312b286, 0xbfef2dc9c9089a9d, // 0.22508, -0.97434 + 0x3fcc9e90b824a6a9, 0xbfef309b794b719f, // 0.22359, -0.97468 + 0x3fcc6d90535d74dc, 0xbfef33685a3aaef0, // 0.22209, -0.97503 + 0x3fcc3c8b8c4b9dd7, 0xbfef36306b67c556, // 0.2206, -0.97536 + 0x3fcc0b826a7e4f63, 0xbfef38f3ac64e589, // 0.2191, -0.9757 + 0x3fcbda74f5856330, 0xbfef3bb21cc4fe47, // 0.2176, -0.97604 + 0x3fcba96334f15dad, 0xbfef3e6bbc1bbc65, // 0.21611, -0.97637 + 0x3fcb784d30536cda, 0xbfef412089fd8adc, // 0.21461, -0.9767 + 0x3fcb4732ef3d6722, 0xbfef43d085ff92dd, // 0.21311, -0.97703 + 0x3fcb16147941ca2a, 0xbfef467bafb7bbe0, // 0.21161, -0.97735 + 0x3fcae4f1d5f3b9ab, 0xbfef492206bcabb4, // 0.21011, -0.97768 + 0x3fcab3cb0ce6fe44, 0xbfef4bc38aa5c694, // 0.20861, -0.978 + 0x3fca82a025b00451, 0xbfef4e603b0b2f2d, // 0.20711, -0.97832 + 0x3fca517127e3dabc, 0xbfef50f81785c6b9, // 0.20561, -0.97863 + 0x3fca203e1b1831da, 0xbfef538b1faf2d07, // 0.20411, -0.97895 + 0x3fc9ef0706e35a35, 0xbfef56195321c090, // 0.20261, -0.97926 + 0x3fc9bdcbf2dc4366, 0xbfef58a2b1789e84, // 0.2011, -0.97957 + 0x3fc98c8ce69a7aec, 0xbfef5b273a4fa2d9, // 0.1996, -0.97988 + 0x3fc95b49e9b62af9, 0xbfef5da6ed43685d, // 0.1981, -0.98018 + 0x3fc92a0303c8194f, 0xbfef6021c9f148c2, // 0.19659, -0.98048 + 0x3fc8f8b83c69a60a, 0xbfef6297cff75cb0, // 0.19509, -0.98079 + 0x3fc8c7699b34ca7e, 0xbfef6508fef47bd5, // 0.19359, -0.98108 + 0x3fc8961727c41804, 0xbfef677556883cee, // 0.19208, -0.98138 + 0x3fc864c0e9b2b6cf, 0xbfef69dcd652f5de, // 0.19057, -0.98167 + 0x3fc83366e89c64c5, 0xbfef6c3f7df5bbb7, // 0.18907, -0.98196 + 0x3fc802092c1d744b, 0xbfef6e9d4d1262ca, // 0.18756, -0.98225 + 0x3fc7d0a7bbd2cb1b, 0xbfef70f6434b7eb7, // 0.18606, -0.98254 + 0x3fc79f429f59e11d, 0xbfef734a60446279, // 0.18455, -0.98282 + 0x3fc76dd9de50bf31, 0xbfef7599a3a12077, // 0.18304, -0.98311 + 0x3fc73c6d8055fe0a, 0xbfef77e40d068a90, // 0.18153, -0.98339 + 0x3fc70afd8d08c4ff, 0xbfef7a299c1a322a, // 0.18002, -0.98366 + 0x3fc6d98a0c08c8da, 0xbfef7c6a50826840, // 0.17851, -0.98394 + 0x3fc6a81304f64ab2, 0xbfef7ea629e63d6e, // 0.177, -0.98421 + 0x3fc676987f7216b8, 0xbfef80dd27ed8204, // 0.17549, -0.98448 + 0x3fc6451a831d830d, 0xbfef830f4a40c60c, // 0.17398, -0.98475 + 0x3fc61399179a6e94, 0xbfef853c9089595e, // 0.17247, -0.98501 + 0x3fc5e214448b3fc6, 0xbfef8764fa714ba9, // 0.17096, -0.98528 + 0x3fc5b08c1192e381, 0xbfef898887a36c84, // 0.16945, -0.98554 + 0x3fc57f008654cbde, 0xbfef8ba737cb4b78, // 0.16794, -0.9858 + 0x3fc54d71aa74ef02, 0xbfef8dc10a95380d, // 0.16643, -0.98605 + 0x3fc51bdf8597c5f2, 0xbfef8fd5ffae41db, // 0.16491, -0.98631 + 0x3fc4ea4a1f624b61, 0xbfef91e616c43891, // 0.1634, -0.98656 + 0x3fc4b8b17f79fa88, 0xbfef93f14f85ac08, // 0.16189, -0.98681 + 0x3fc48715ad84cdf5, 0xbfef95f7a9a1ec47, // 0.16037, -0.98706 + 0x3fc45576b1293e5a, 0xbfef97f924c9099b, // 0.15886, -0.9873 + 0x3fc423d4920e4166, 0xbfef99f5c0abd496, // 0.15734, -0.98754 + 0x3fc3f22f57db4893, 0xbfef9bed7cfbde29, // 0.15583, -0.98778 + 0x3fc3c0870a383ff6, 0xbfef9de0596b77a3, // 0.15431, -0.98802 + 0x3fc38edbb0cd8d14, 0xbfef9fce55adb2c8, // 0.1528, -0.98826 + 0x3fc35d2d53440db2, 0xbfefa1b7717661d5, // 0.15128, -0.98849 + 0x3fc32b7bf94516a7, 0xbfefa39bac7a1791, // 0.14976, -0.98872 + 0x3fc2f9c7aa7a72af, 0xbfefa57b066e2754, // 0.14825, -0.98895 + 0x3fc2c8106e8e613a, 0xbfefa7557f08a517, // 0.14673, -0.98918 + 0x3fc296564d2b953e, 0xbfefa92b1600657c, // 0.14521, -0.9894 + 0x3fc264994dfd340a, 0xbfefaafbcb0cfddc, // 0.1437, -0.98962 + 0x3fc232d978aed413, 0xbfefacc79de6c44f, // 0.14218, -0.98984 + 0x3fc20116d4ec7bce, 0xbfefae8e8e46cfbb, // 0.14066, -0.99006 + 0x3fc1cf516a62a077, 0xbfefb0509be6f7db, // 0.13914, -0.99027 + 0x3fc19d8940be24e7, 0xbfefb20dc681d54d, // 0.13762, -0.99049 + 0x3fc16bbe5fac5865, 0xbfefb3c60dd2c199, // 0.1361, -0.9907 + 0x3fc139f0cedaf576, 0xbfefb5797195d741, // 0.13458, -0.9909 + 0x3fc1082095f820b0, 0xbfefb727f187f1c7, // 0.13306, -0.99111 + 0x3fc0d64dbcb26786, 0xbfefb8d18d66adb7, // 0.13154, -0.99131 + 0x3fc0a4784ab8bf1d, 0xbfefba7644f068b5, // 0.13002, -0.99151 + 0x3fc072a047ba831d, 0xbfefbc1617e44186, // 0.1285, -0.99171 + 0x3fc040c5bb67747e, 0xbfefbdb106021816, // 0.12698, -0.99191 + 0x3fc00ee8ad6fb85b, 0xbfefbf470f0a8d88, // 0.12545, -0.9921 + 0x3fbfba124b07ad85, 0xbfefc0d832bf043a, // 0.12393, -0.99229 + 0x3fbf564e56a9730e, 0xbfefc26470e19fd3, // 0.12241, -0.99248 + 0x3fbef2858d27561b, 0xbfefc3ebc935454c, // 0.12089, -0.99267 + 0x3fbe8eb7fde4aa3e, 0xbfefc56e3b7d9af6, // 0.11937, -0.99285 + 0x3fbe2ae5b8457f77, 0xbfefc6ebc77f0887, // 0.11784, -0.99303 + 0x3fbdc70ecbae9fc8, 0xbfefc8646cfeb721, // 0.11632, -0.99321 + 0x3fbd633347858ce4, 0xbfefc9d82bc2915e, // 0.11479, -0.99339 + 0x3fbcff533b307dc1, 0xbfefcb4703914354, // 0.11327, -0.99356 + 0x3fbc9b6eb6165c42, 0xbfefccb0f4323aa3, // 0.11175, -0.99374 + 0x3fbc3785c79ec2d5, 0xbfefce15fd6da67b, // 0.11022, -0.99391 + 0x3fbbd3987f31fa0e, 0xbfefcf761f0c77a3, // 0.1087, -0.99407 + 0x3fbb6fa6ec38f64c, 0xbfefd0d158d86087, // 0.10717, -0.99424 + 0x3fbb0bb11e1d5559, 0xbfefd227aa9bd53b, // 0.10565, -0.9944 + 0x3fbaa7b724495c04, 0xbfefd37914220b84, // 0.10412, -0.99456 + 0x3fba43b90e27f3c4, 0xbfefd4c59536fae4, // 0.1026, -0.99472 + 0x3fb9dfb6eb24a85c, 0xbfefd60d2da75c9e, // 0.10107, -0.99488 + 0x3fb97bb0caaba56f, 0xbfefd74fdd40abbf, // 0.099544, -0.99503 + 0x3fb917a6bc29b42c, 0xbfefd88da3d12526, // 0.098017, -0.99518 + 0x3fb8b398cf0c38e0, 0xbfefd9c68127c78c, // 0.09649, -0.99533 + 0x3fb84f8712c130a0, 0xbfefdafa7514538c, // 0.094963, -0.99548 + 0x3fb7eb7196b72ee4, 0xbfefdc297f674ba9, // 0.093436, -0.99563 + 0x3fb787586a5d5b21, 0xbfefdd539ff1f456, // 0.091909, -0.99577 + 0x3fb7233b9d236e71, 0xbfefde78d68653fd, // 0.090381, -0.99591 + 0x3fb6bf1b3e79b129, 0xbfefdf9922f73307, // 0.088854, -0.99604 + 0x3fb65af75dd0f87b, 0xbfefe0b485181be3, // 0.087326, -0.99618 + 0x3fb5f6d00a9aa419, 0xbfefe1cafcbd5b09, // 0.085797, -0.99631 + 0x3fb592a554489bc8, 0xbfefe2dc89bbff08, // 0.084269, -0.99644 + 0x3fb52e774a4d4d0a, 0xbfefe3e92be9d886, // 0.08274, -0.99657 + 0x3fb4ca45fc1ba8b6, 0xbfefe4f0e31d7a4a, // 0.081211, -0.9967 + 0x3fb4661179272096, 0xbfefe5f3af2e3940, // 0.079682, -0.99682 + 0x3fb401d9d0e3a507, 0xbfefe6f18ff42c84, // 0.078153, -0.99694 + 0x3fb39d9f12c5a299, 0xbfefe7ea85482d60, // 0.076624, -0.99706 + 0x3fb339614e41ffa5, 0xbfefe8de8f03d75c, // 0.075094, -0.99718 + 0x3fb2d52092ce19f6, 0xbfefe9cdad01883a, // 0.073565, -0.99729 + 0x3fb270dcefdfc45b, 0xbfefeab7df1c6005, // 0.072035, -0.9974 + 0x3fb20c9674ed444c, 0xbfefeb9d2530410f, // 0.070505, -0.99751 + 0x3fb1a84d316d4f8a, 0xbfefec7d7f19cffc, // 0.068974, -0.99762 + 0x3fb1440134d709b2, 0xbfefed58ecb673c4, // 0.067444, -0.99772 + 0x3fb0dfb28ea201e6, 0xbfefee2f6de455ba, // 0.065913, -0.99783 + 0x3fb07b614e463064, 0xbfefef0102826191, // 0.064383, -0.99793 + 0x3fb0170d833bf421, 0xbfefefcdaa704562, // 0.062852, -0.99802 + 0x3faf656e79f820e0, 0xbfeff095658e71ad, // 0.061321, -0.99812 + 0x3fae9cbd15ff5527, 0xbfeff15833be1965, // 0.05979, -0.99821 + 0x3fadd406f9808ec8, 0xbfeff21614e131ed, // 0.058258, -0.9983 + 0x3fad0b4c436f91d0, 0xbfeff2cf08da7321, // 0.056727, -0.99839 + 0x3fac428d12c0d7e3, 0xbfeff3830f8d575c, // 0.055195, -0.99848 + 0x3fab79c986698b78, 0xbfeff43228de1b77, // 0.053664, -0.99856 + 0x3faab101bd5f8317, 0xbfeff4dc54b1bed3, // 0.052132, -0.99864 + 0x3fa9e835d6993c87, 0xbfeff58192ee0358, // 0.0506, -0.99872 + 0x3fa91f65f10dd814, 0xbfeff621e3796d7e, // 0.049068, -0.9988 + 0x3fa856922bb513c1, 0xbfeff6bd463b444d, // 0.047535, -0.99887 + 0x3fa78dbaa5874685, 0xbfeff753bb1b9164, // 0.046003, -0.99894 + 0x3fa6c4df7d7d5b84, 0xbfeff7e5420320f9, // 0.044471, -0.99901 + 0x3fa5fc00d290cd43, 0xbfeff871dadb81df, // 0.042938, -0.99908 + 0x3fa5331ec3bba0eb, 0xbfeff8f9858f058b, // 0.041406, -0.99914 + 0x3fa46a396ff86179, 0xbfeff97c4208c014, // 0.039873, -0.9992 + 0x3fa3a150f6421afc, 0xbfeff9fa10348837, // 0.03834, -0.99926 + 0x3fa2d865759455cd, 0xbfeffa72effef75d, // 0.036807, -0.99932 + 0x3fa20f770ceb11c6, 0xbfeffae6e1556998, // 0.035274, -0.99938 + 0x3fa14685db42c17e, 0xbfeffb55e425fdae, // 0.033741, -0.99943 + 0x3fa07d91ff984580, 0xbfeffbbff85f9515, // 0.032208, -0.99948 + 0x3f9f693731d1cf01, 0xbfeffc251df1d3f8, // 0.030675, -0.99953 + 0x3f9dd7458c64ab39, 0xbfeffc8554cd213a, // 0.029142, -0.99958 + 0x3f9c454f4ce53b1c, 0xbfeffce09ce2a679, // 0.027608, -0.99962 + 0x3f9ab354b1504fca, 0xbfeffd36f624500c, // 0.026075, -0.99966 + 0x3f992155f7a3667e, 0xbfeffd886084cd0d, // 0.024541, -0.9997 + 0x3f978f535ddc9f03, 0xbfeffdd4dbf78f52, // 0.023008, -0.99974 + 0x3f95fd4d21fab226, 0xbfeffe1c6870cb77, // 0.021474, -0.99977 + 0x3f946b4381fce81c, 0xbfeffe5f05e578db, // 0.01994, -0.9998 + 0x3f92d936bbe30efd, 0xbfeffe9cb44b51a1, // 0.018407, -0.99983 + 0x3f9147270dad7132, 0xbfeffed57398d2b7, // 0.016873, -0.99986 + 0x3f8f6a296ab997ca, 0xbfefff0943c53bd1, // 0.015339, -0.99988 + 0x3f8c45ffe1e48ad9, 0xbfefff3824c88f6f, // 0.013805, -0.9999 + 0x3f8921d1fcdec784, 0xbfefff62169b92db, // 0.012272, -0.99992 + 0x3f85fda037ac05e0, 0xbfefff871937ce2f, // 0.010738, -0.99994 + 0x3f82d96b0e509703, 0xbfefffa72c978c4f, //0.0092038, -0.99996 + 0x3f7f6a65f9a2a3c5, 0xbfefffc250b5daef, //0.0076698, -0.99997 + 0x3f7921f0fe670071, 0xbfefffd8858e8a92, //0.0061359, -0.99998 + 0x3f72d97822f996bc, 0xbfefffe9cb1e2e8d, //0.0046019, -0.99999 + 0x3f6921f8becca4ba, 0xbfeffff621621d02, // 0.003068, -1 + 0x3f5921faaee6472d, 0xbfeffffd88586ee6, // 0.001534, -1 +}; + +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) +/** + @par + Example code for Floating-point RFFT Twiddle factors Generation: + @par + 
TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).'
+ @par + Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { + 0.000000000f, 1.000000000f, + 0.195090322f, 0.980785280f, + 0.382683432f, 0.923879533f, + 0.555570233f, 0.831469612f, + 0.707106781f, 0.707106781f, + 0.831469612f, 0.555570233f, + 0.923879533f, 0.382683432f, + 0.980785280f, 0.195090322f, + 1.000000000f, 0.000000000f, + 0.980785280f, -0.195090322f, + 0.923879533f, -0.382683432f, + 0.831469612f, -0.555570233f, + 0.707106781f, -0.707106781f, + 0.555570233f, -0.831469612f, + 0.382683432f, -0.923879533f, + 0.195090322f, -0.980785280f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) +const float32_t twiddleCoef_rfft_64[64] = { + 0.000000000000000f, 1.000000000000000f, + 0.098017140329561f, 0.995184726672197f, + 0.195090322016128f, 0.980785280403230f, + 0.290284677254462f, 0.956940335732209f, + 0.382683432365090f, 0.923879532511287f, + 0.471396736825998f, 0.881921264348355f, + 0.555570233019602f, 0.831469612302545f, + 0.634393284163645f, 0.773010453362737f, + 0.707106781186547f, 0.707106781186548f, + 0.773010453362737f, 0.634393284163645f, + 0.831469612302545f, 0.555570233019602f, + 0.881921264348355f, 0.471396736825998f, + 0.923879532511287f, 0.382683432365090f, + 0.956940335732209f, 0.290284677254462f, + 0.980785280403230f, 0.195090322016128f, + 0.995184726672197f, 0.098017140329561f, + 1.000000000000000f, 0.000000000000000f, + 0.995184726672197f, -0.098017140329561f, + 0.980785280403230f, -0.195090322016128f, + 0.956940335732209f, -0.290284677254462f, + 0.923879532511287f, -0.382683432365090f, + 0.881921264348355f, -0.471396736825998f, + 0.831469612302545f, -0.555570233019602f, + 0.773010453362737f, -0.634393284163645f, + 0.707106781186548f, -0.707106781186547f, + 0.634393284163645f, -0.773010453362737f, + 0.555570233019602f, -0.831469612302545f, + 0.471396736825998f, -0.881921264348355f, + 0.382683432365090f, -0.923879532511287f, + 0.290284677254462f, -0.956940335732209f, + 0.195090322016129f, -0.980785280403230f, + 0.098017140329561f, -0.995184726672197f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) +const float32_t twiddleCoef_rfft_128[128] = { + 0.000000000f, 1.000000000f, + 0.049067674f, 0.998795456f, + 0.098017140f, 0.995184727f, + 0.146730474f, 0.989176510f, + 0.195090322f, 0.980785280f, + 0.242980180f, 0.970031253f, + 0.290284677f, 0.956940336f, + 0.336889853f, 0.941544065f, + 0.382683432f, 0.923879533f, + 0.427555093f, 0.903989293f, + 0.471396737f, 0.881921264f, + 0.514102744f, 0.857728610f, + 0.555570233f, 0.831469612f, + 0.595699304f, 0.803207531f, + 0.634393284f, 0.773010453f, + 0.671558955f, 0.740951125f, + 0.707106781f, 0.707106781f, + 0.740951125f, 0.671558955f, + 0.773010453f, 0.634393284f, + 0.803207531f, 0.595699304f, + 0.831469612f, 0.555570233f, + 0.857728610f, 0.514102744f, + 0.881921264f, 0.471396737f, + 0.903989293f, 0.427555093f, + 0.923879533f, 0.382683432f, + 0.941544065f, 0.336889853f, + 0.956940336f, 0.290284677f, + 0.970031253f, 0.242980180f, + 0.980785280f, 0.195090322f, + 0.989176510f, 0.146730474f, + 0.995184727f, 0.098017140f, + 0.998795456f, 0.049067674f, + 1.000000000f, 0.000000000f, + 0.998795456f, -0.049067674f, + 0.995184727f, -0.098017140f, + 0.989176510f, -0.146730474f, + 0.980785280f, -0.195090322f, + 0.970031253f, -0.242980180f, + 0.956940336f, -0.290284677f, + 0.941544065f, -0.336889853f, + 0.923879533f, -0.382683432f, + 0.903989293f, -0.427555093f, + 0.881921264f, -0.471396737f, + 0.857728610f, -0.514102744f, + 0.831469612f, -0.555570233f, + 0.803207531f, -0.595699304f, + 0.773010453f, -0.634393284f, + 0.740951125f, -0.671558955f, + 0.707106781f, -0.707106781f, + 0.671558955f, -0.740951125f, + 0.634393284f, -0.773010453f, + 0.595699304f, -0.803207531f, + 0.555570233f, -0.831469612f, + 0.514102744f, -0.857728610f, + 0.471396737f, -0.881921264f, + 0.427555093f, -0.903989293f, + 0.382683432f, -0.923879533f, + 0.336889853f, -0.941544065f, + 0.290284677f, -0.956940336f, + 0.242980180f, -0.970031253f, + 0.195090322f, -0.980785280f, + 0.146730474f, -0.989176510f, + 0.098017140f, -0.995184727f, + 0.049067674f, -0.998795456f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) +const float32_t twiddleCoef_rfft_256[256] = { + 0.000000000f, 1.000000000f, + 0.024541229f, 0.999698819f, + 0.049067674f, 0.998795456f, + 0.073564564f, 0.997290457f, + 0.098017140f, 0.995184727f, + 0.122410675f, 0.992479535f, + 0.146730474f, 0.989176510f, + 0.170961889f, 0.985277642f, + 0.195090322f, 0.980785280f, + 0.219101240f, 0.975702130f, + 0.242980180f, 0.970031253f, + 0.266712757f, 0.963776066f, + 0.290284677f, 0.956940336f, + 0.313681740f, 0.949528181f, + 0.336889853f, 0.941544065f, + 0.359895037f, 0.932992799f, + 0.382683432f, 0.923879533f, + 0.405241314f, 0.914209756f, + 0.427555093f, 0.903989293f, + 0.449611330f, 0.893224301f, + 0.471396737f, 0.881921264f, + 0.492898192f, 0.870086991f, + 0.514102744f, 0.857728610f, + 0.534997620f, 0.844853565f, + 0.555570233f, 0.831469612f, + 0.575808191f, 0.817584813f, + 0.595699304f, 0.803207531f, + 0.615231591f, 0.788346428f, + 0.634393284f, 0.773010453f, + 0.653172843f, 0.757208847f, + 0.671558955f, 0.740951125f, + 0.689540545f, 0.724247083f, + 0.707106781f, 0.707106781f, + 0.724247083f, 0.689540545f, + 0.740951125f, 0.671558955f, + 0.757208847f, 0.653172843f, + 0.773010453f, 0.634393284f, + 0.788346428f, 0.615231591f, + 0.803207531f, 0.595699304f, + 0.817584813f, 0.575808191f, + 0.831469612f, 0.555570233f, + 0.844853565f, 0.534997620f, + 0.857728610f, 0.514102744f, + 0.870086991f, 0.492898192f, + 0.881921264f, 0.471396737f, + 0.893224301f, 0.449611330f, + 0.903989293f, 0.427555093f, + 0.914209756f, 0.405241314f, + 0.923879533f, 0.382683432f, + 0.932992799f, 0.359895037f, + 0.941544065f, 0.336889853f, + 0.949528181f, 0.313681740f, + 0.956940336f, 0.290284677f, + 0.963776066f, 0.266712757f, + 0.970031253f, 0.242980180f, + 0.975702130f, 0.219101240f, + 0.980785280f, 0.195090322f, + 0.985277642f, 0.170961889f, + 0.989176510f, 0.146730474f, + 0.992479535f, 0.122410675f, + 0.995184727f, 0.098017140f, + 0.997290457f, 0.073564564f, + 0.998795456f, 0.049067674f, + 0.999698819f, 0.024541229f, + 1.000000000f, 0.000000000f, + 0.999698819f, -0.024541229f, + 0.998795456f, -0.049067674f, + 0.997290457f, -0.073564564f, + 0.995184727f, -0.098017140f, + 0.992479535f, -0.122410675f, + 0.989176510f, -0.146730474f, + 0.985277642f, -0.170961889f, + 0.980785280f, -0.195090322f, + 0.975702130f, -0.219101240f, + 0.970031253f, -0.242980180f, + 0.963776066f, -0.266712757f, + 0.956940336f, -0.290284677f, + 0.949528181f, -0.313681740f, + 0.941544065f, -0.336889853f, + 0.932992799f, -0.359895037f, + 0.923879533f, -0.382683432f, + 0.914209756f, -0.405241314f, + 0.903989293f, -0.427555093f, + 0.893224301f, -0.449611330f, + 0.881921264f, -0.471396737f, + 0.870086991f, -0.492898192f, + 0.857728610f, -0.514102744f, + 0.844853565f, -0.534997620f, + 0.831469612f, -0.555570233f, + 0.817584813f, -0.575808191f, + 0.803207531f, -0.595699304f, + 0.788346428f, -0.615231591f, + 0.773010453f, -0.634393284f, + 0.757208847f, -0.653172843f, + 0.740951125f, -0.671558955f, + 0.724247083f, -0.689540545f, + 0.707106781f, -0.707106781f, + 0.689540545f, -0.724247083f, + 0.671558955f, -0.740951125f, + 0.653172843f, -0.757208847f, + 0.634393284f, -0.773010453f, + 0.615231591f, -0.788346428f, + 0.595699304f, -0.803207531f, + 0.575808191f, -0.817584813f, + 0.555570233f, -0.831469612f, + 0.534997620f, -0.844853565f, + 0.514102744f, -0.857728610f, + 0.492898192f, -0.870086991f, + 0.471396737f, -0.881921264f, + 0.449611330f, -0.893224301f, + 0.427555093f, -0.903989293f, + 0.405241314f, -0.914209756f, + 0.382683432f, -0.923879533f, + 0.359895037f, -0.932992799f, + 0.336889853f, -0.941544065f, + 0.313681740f, -0.949528181f, + 0.290284677f, -0.956940336f, + 0.266712757f, -0.963776066f, + 0.242980180f, -0.970031253f, + 0.219101240f, -0.975702130f, + 0.195090322f, -0.980785280f, + 0.170961889f, -0.985277642f, + 0.146730474f, -0.989176510f, + 0.122410675f, -0.992479535f, + 0.098017140f, -0.995184727f, + 0.073564564f, -0.997290457f, + 0.049067674f, -0.998795456f, + 0.024541229f, -0.999698819f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) +const float32_t twiddleCoef_rfft_512[512] = { + 0.000000000f, 1.000000000f, + 0.012271538f, 0.999924702f, + 0.024541229f, 0.999698819f, + 0.036807223f, 0.999322385f, + 0.049067674f, 0.998795456f, + 0.061320736f, 0.998118113f, + 0.073564564f, 0.997290457f, + 0.085797312f, 0.996312612f, + 0.098017140f, 0.995184727f, + 0.110222207f, 0.993906970f, + 0.122410675f, 0.992479535f, + 0.134580709f, 0.990902635f, + 0.146730474f, 0.989176510f, + 0.158858143f, 0.987301418f, + 0.170961889f, 0.985277642f, + 0.183039888f, 0.983105487f, + 0.195090322f, 0.980785280f, + 0.207111376f, 0.978317371f, + 0.219101240f, 0.975702130f, + 0.231058108f, 0.972939952f, + 0.242980180f, 0.970031253f, + 0.254865660f, 0.966976471f, + 0.266712757f, 0.963776066f, + 0.278519689f, 0.960430519f, + 0.290284677f, 0.956940336f, + 0.302005949f, 0.953306040f, + 0.313681740f, 0.949528181f, + 0.325310292f, 0.945607325f, + 0.336889853f, 0.941544065f, + 0.348418680f, 0.937339012f, + 0.359895037f, 0.932992799f, + 0.371317194f, 0.928506080f, + 0.382683432f, 0.923879533f, + 0.393992040f, 0.919113852f, + 0.405241314f, 0.914209756f, + 0.416429560f, 0.909167983f, + 0.427555093f, 0.903989293f, + 0.438616239f, 0.898674466f, + 0.449611330f, 0.893224301f, + 0.460538711f, 0.887639620f, + 0.471396737f, 0.881921264f, + 0.482183772f, 0.876070094f, + 0.492898192f, 0.870086991f, + 0.503538384f, 0.863972856f, + 0.514102744f, 0.857728610f, + 0.524589683f, 0.851355193f, + 0.534997620f, 0.844853565f, + 0.545324988f, 0.838224706f, + 0.555570233f, 0.831469612f, + 0.565731811f, 0.824589303f, + 0.575808191f, 0.817584813f, + 0.585797857f, 0.810457198f, + 0.595699304f, 0.803207531f, + 0.605511041f, 0.795836905f, + 0.615231591f, 0.788346428f, + 0.624859488f, 0.780737229f, + 0.634393284f, 0.773010453f, + 0.643831543f, 0.765167266f, + 0.653172843f, 0.757208847f, + 0.662415778f, 0.749136395f, + 0.671558955f, 0.740951125f, + 0.680600998f, 0.732654272f, + 0.689540545f, 0.724247083f, + 0.698376249f, 0.715730825f, + 0.707106781f, 0.707106781f, + 0.715730825f, 0.698376249f, + 0.724247083f, 0.689540545f, + 0.732654272f, 0.680600998f, + 0.740951125f, 0.671558955f, + 0.749136395f, 0.662415778f, + 0.757208847f, 0.653172843f, + 0.765167266f, 0.643831543f, + 0.773010453f, 0.634393284f, + 0.780737229f, 0.624859488f, + 0.788346428f, 0.615231591f, + 0.795836905f, 0.605511041f, + 0.803207531f, 0.595699304f, + 0.810457198f, 0.585797857f, + 0.817584813f, 0.575808191f, + 0.824589303f, 0.565731811f, + 0.831469612f, 0.555570233f, + 0.838224706f, 0.545324988f, + 0.844853565f, 0.534997620f, + 0.851355193f, 0.524589683f, + 0.857728610f, 0.514102744f, + 0.863972856f, 0.503538384f, + 0.870086991f, 0.492898192f, + 0.876070094f, 0.482183772f, + 0.881921264f, 0.471396737f, + 0.887639620f, 0.460538711f, + 0.893224301f, 0.449611330f, + 0.898674466f, 0.438616239f, + 0.903989293f, 0.427555093f, + 0.909167983f, 0.416429560f, + 0.914209756f, 0.405241314f, + 0.919113852f, 0.393992040f, + 0.923879533f, 0.382683432f, + 0.928506080f, 0.371317194f, + 0.932992799f, 0.359895037f, + 0.937339012f, 0.348418680f, + 0.941544065f, 0.336889853f, + 0.945607325f, 0.325310292f, + 0.949528181f, 0.313681740f, + 0.953306040f, 0.302005949f, + 0.956940336f, 0.290284677f, + 0.960430519f, 0.278519689f, + 0.963776066f, 0.266712757f, + 0.966976471f, 0.254865660f, + 0.970031253f, 0.242980180f, + 0.972939952f, 0.231058108f, + 0.975702130f, 0.219101240f, + 0.978317371f, 0.207111376f, + 0.980785280f, 0.195090322f, + 0.983105487f, 0.183039888f, + 0.985277642f, 0.170961889f, + 0.987301418f, 0.158858143f, + 0.989176510f, 0.146730474f, + 0.990902635f, 0.134580709f, + 0.992479535f, 0.122410675f, + 0.993906970f, 0.110222207f, + 0.995184727f, 0.098017140f, + 0.996312612f, 0.085797312f, + 0.997290457f, 0.073564564f, + 0.998118113f, 0.061320736f, + 0.998795456f, 0.049067674f, + 0.999322385f, 0.036807223f, + 0.999698819f, 0.024541229f, + 0.999924702f, 0.012271538f, + 1.000000000f, 0.000000000f, + 0.999924702f, -0.012271538f, + 0.999698819f, -0.024541229f, + 0.999322385f, -0.036807223f, + 0.998795456f, -0.049067674f, + 0.998118113f, -0.061320736f, + 0.997290457f, -0.073564564f, + 0.996312612f, -0.085797312f, + 0.995184727f, -0.098017140f, + 0.993906970f, -0.110222207f, + 0.992479535f, -0.122410675f, + 0.990902635f, -0.134580709f, + 0.989176510f, -0.146730474f, + 0.987301418f, -0.158858143f, + 0.985277642f, -0.170961889f, + 0.983105487f, -0.183039888f, + 0.980785280f, -0.195090322f, + 0.978317371f, -0.207111376f, + 0.975702130f, -0.219101240f, + 0.972939952f, -0.231058108f, + 0.970031253f, -0.242980180f, + 0.966976471f, -0.254865660f, + 0.963776066f, -0.266712757f, + 0.960430519f, -0.278519689f, + 0.956940336f, -0.290284677f, + 0.953306040f, -0.302005949f, + 0.949528181f, -0.313681740f, + 0.945607325f, -0.325310292f, + 0.941544065f, -0.336889853f, + 0.937339012f, -0.348418680f, + 0.932992799f, -0.359895037f, + 0.928506080f, -0.371317194f, + 0.923879533f, -0.382683432f, + 0.919113852f, -0.393992040f, + 0.914209756f, -0.405241314f, + 0.909167983f, -0.416429560f, + 0.903989293f, -0.427555093f, + 0.898674466f, -0.438616239f, + 0.893224301f, -0.449611330f, + 0.887639620f, -0.460538711f, + 0.881921264f, -0.471396737f, + 0.876070094f, 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-0.960430519f, + 0.266712757f, -0.963776066f, + 0.254865660f, -0.966976471f, + 0.242980180f, -0.970031253f, + 0.231058108f, -0.972939952f, + 0.219101240f, -0.975702130f, + 0.207111376f, -0.978317371f, + 0.195090322f, -0.980785280f, + 0.183039888f, -0.983105487f, + 0.170961889f, -0.985277642f, + 0.158858143f, -0.987301418f, + 0.146730474f, -0.989176510f, + 0.134580709f, -0.990902635f, + 0.122410675f, -0.992479535f, + 0.110222207f, -0.993906970f, + 0.098017140f, -0.995184727f, + 0.085797312f, -0.996312612f, + 0.073564564f, -0.997290457f, + 0.061320736f, -0.998118113f, + 0.049067674f, -0.998795456f, + 0.036807223f, -0.999322385f, + 0.024541229f, -0.999698819f, + 0.012271538f, -0.999924702f +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) +const float32_t twiddleCoef_rfft_1024[1024] = { + 0.000000000f, 1.000000000f, + 0.006135885f, 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-0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */ + +/** + @ingroup RealFFT + */ + +/** + @addtogroup RealFFT_Table Real FFT Tables + @{ + */ + +/** + @par + Generation of realCoefA array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32) +const float32_t realCoefA[8192] = { + 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f, + 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f, + 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f, + 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f, + 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f, + 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f, + 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f, + 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f, + 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f, + 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f, + 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0.485045909881592f, 0.499776333570480f, + 0.485429257154465f, 0.499787658452988f, 0.485812574625015f, 0.499798685312271f, + 0.486195921897888f, 0.499809414148331f, 0.486579269170761f, 0.499819844961166f, + 0.486962646245956f, 0.499830007553101f, 0.487346023321152f, 0.499839842319489f, + 0.487729400396347f, 0.499849408864975f, 0.488112777471542f, 0.499858677387238f, + 0.488496154546738f, 0.499867647886276f, 0.488879561424255f, 0.499876320362091f, + 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f, + 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f, + 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f, + 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f, + 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f, + 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f, + 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f, + 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f, + 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f, + 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f, + 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f, + 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f, + 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f, + 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f, +}; + + +/** + @par + Generation of realCoefB array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ */ + +const float32_t realCoefB[8192] = { + 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f, + 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f, + 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f, + 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f, + 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f, + 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f, + 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f, + 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f, + 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f, + 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f, + 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f, + 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f, + 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f, + 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f, + 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f, + 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f, + 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f, + 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f, + 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f, + 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f, + 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f, + 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f, + 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f, + 0.517637133598328f, 0.499688833951950f, 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for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q31 format + round(pATable[i] * pow(2, 31)) +*/ +const q31_t realCoefAQ31[8192] = { + (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c, + (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a, + (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8, + (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74, + (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee, + (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547, + (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e, + (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594, + (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489, + (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c, + (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d, + (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c, + (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a, + (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356, + (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80, + (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188, + (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e, + (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731, + (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3, + (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452, + (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae, + (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8, + (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff, + (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3, + (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4, + (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872, + (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd, + (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364, + (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8, + (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7, + (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3, + (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b, + (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e, + (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd, + (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047, + (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c, + (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac, + (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7, + (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c, + (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b, + (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5, + (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018, + (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54, + (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a, + (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859, + (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421, + (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1, + (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939, + (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289, + (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1, + (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0, + (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986, + (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33, + (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6, + (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910, + (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f, + (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44, + (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d, + (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc, + (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f, + (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6, + (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1, + (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf, + (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1, + (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145, + (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb, + (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03, + (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d, + (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07, + (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3, + (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e, + (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa, + (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4, + (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce, + (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97, + (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e, + (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92, + (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3, + (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2, + (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c, + (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223, + (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85, + (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2, + (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9, + (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a, + (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5, + (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548, + (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64, + (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48, + (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3, + (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065, + (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d, + (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b, + (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e, + (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6, + (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33, + (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42, + (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815, + (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa, + (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901, + (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019, + (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2, + (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a, + (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3, + (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa, + (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf, + (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762, + (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2, + (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be, + (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686, + (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09, + (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147, + (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e, + (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee, + (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257, + (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77, + (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f, + (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add, + (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120, + (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119, + (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6, + (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26, + (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39, + (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff, + (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276, + (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d, + (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075, + (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb, + (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530, + (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613, + (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3, + (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df, + (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6, + (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58, + (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94, + (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678, + (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05, + (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a, + (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, 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(q31_t)0x3acd6e81, (q31_t)0x3fc9e1c6, (q31_t)0x3ad9f4f8, (q31_t)0x3fcae5cd, + (q31_t)0x3ae67ba2, (q31_t)0x3fcbe75e, (q31_t)0x3af3027e, (q31_t)0x3fcce67a, + (q31_t)0x3aff898c, (q31_t)0x3fcde320, (q31_t)0x3b0c10cb, (q31_t)0x3fcedd50, + (q31_t)0x3b18983b, (q31_t)0x3fcfd50b, (q31_t)0x3b251fdc, (q31_t)0x3fd0ca4f, + (q31_t)0x3b31a7ac, (q31_t)0x3fd1bd1e, (q31_t)0x3b3e2fac, (q31_t)0x3fd2ad77, + (q31_t)0x3b4ab7db, (q31_t)0x3fd39b5a, (q31_t)0x3b574039, (q31_t)0x3fd486c7, + (q31_t)0x3b63c8c4, (q31_t)0x3fd56fbe, (q31_t)0x3b70517d, (q31_t)0x3fd6563f, + (q31_t)0x3b7cda63, (q31_t)0x3fd73a4a, (q31_t)0x3b896375, (q31_t)0x3fd81bdf, + (q31_t)0x3b95ecb4, (q31_t)0x3fd8fafe, (q31_t)0x3ba2761e, (q31_t)0x3fd9d7a7, + (q31_t)0x3baeffb3, (q31_t)0x3fdab1d9, (q31_t)0x3bbb8973, (q31_t)0x3fdb8996, + (q31_t)0x3bc8135c, (q31_t)0x3fdc5edc, (q31_t)0x3bd49d70, (q31_t)0x3fdd31ac, + (q31_t)0x3be127ac, (q31_t)0x3fde0205, (q31_t)0x3bedb212, (q31_t)0x3fdecfe8, + (q31_t)0x3bfa3c9f, (q31_t)0x3fdf9b55, (q31_t)0x3c06c754, (q31_t)0x3fe0644b, + (q31_t)0x3c135231, (q31_t)0x3fe12acb, (q31_t)0x3c1fdd34, (q31_t)0x3fe1eed5, + (q31_t)0x3c2c685d, (q31_t)0x3fe2b067, (q31_t)0x3c38f3ac, (q31_t)0x3fe36f84, + (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659, + (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354, + (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674, + (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9, + (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23, + (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2, + (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065, + (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d, + (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39, + (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858, + (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c, + (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703, + (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e, + (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c, + (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d, + (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01, + (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718, + (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652, + (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae, + (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d, + (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf, + (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092, + (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78, + (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280, + (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa, + (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6, + (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364, + (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3, + (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4, + (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77, + (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c, + (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82, + (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9, + (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12, + (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c, + (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128, + (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6, + (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4, +}; + + +/** + @par + Generation of realCoefBQ31 array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q31 format + round(pBTable[i] * pow(2, 31)) + */ + +const q31_t realCoefBQ31[8192] = { + (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4, + (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6, + (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128, + (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c, + (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12, + (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9, + (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82, + (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c, + (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77, + (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4, + (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3, + (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364, + (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6, + (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa, + (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280, + (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78, + (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092, + (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf, + (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d, + (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae, + (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652, + (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718, + (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01, + (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d, + (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c, + (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e, + (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703, + (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c, + (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858, + (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39, + (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d, + (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065, + (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2, + (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23, + (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9, + (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674, + (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354, + (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659, + (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84, + (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5, + (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b, + (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8, + (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac, + (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996, + (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7, + (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf, + (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f, + (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7, + (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77, + (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f, + (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50, + (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a, + (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd, + (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a, + (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0, + (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1, + (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc, + (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3, + (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334, + (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1, + (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a, + (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f, + (q31_t)0x4613e1c5, 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(q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44, + (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f, + (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910, + (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6, + (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33, + (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986, + (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0, + (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1, + (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289, + (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939, + (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1, + (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421, + (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859, + (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a, + (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54, + (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018, + (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5, + (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b, + (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c, + (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7, + (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac, + (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c, + (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047, + (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd, + (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e, + (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b, + (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3, + (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7, + (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8, + (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364, + (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd, + (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872, + (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4, + (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3, + (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff, + (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8, + (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae, + (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452, + (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3, + (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731, + (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e, + (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188, + (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80, + (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356, + (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a, + (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c, + (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d, + (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c, + (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489, + (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594, + (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e, + (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547, + (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee, + (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74, + (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8, + (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a, + (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c, +}; +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15) +/** + @par + Generation fixed-point realCoefAQ15 array in Q15 format: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q15 format + round(pATable[i] * pow(2, 15)) + */ +const q15_t __ALIGNED(4) realCoefAQ15[8192] = { + (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000, + (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000, + (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001, + (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001, + (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002, + (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003, + (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004, + (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005, + (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006, + (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007, + (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009, + (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b, + (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d, + (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f, + (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011, + (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013, + (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016, + (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018, + (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b, + (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e, + (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021, + (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024, + (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028, + (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b, + (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f, + (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033, + (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037, + (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b, + (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040, + (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044, + (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049, + (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e, + (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053, + (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058, + (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d, + (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062, + (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068, + (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e, + (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074, + (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a, + (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080, + (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086, + (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d, + (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093, + (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a, + (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1, + (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8, + (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, 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(q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7, + (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb, + (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf, + (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3, + (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6, + (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda, + (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd, + (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0, + (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3, + (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6, + (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9, + (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec, + (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee, + (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0, + (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2, + (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4, + (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6, + (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8, + (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9, + (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb, + (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc, + (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd, + (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe, + (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff, + (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff, + (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000, + (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000, + (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000, +}; + +/** + @par + Generation of real_CoefB array: + @par + n = 4096 + 
for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }
+ @par + Convert to fixed point Q15 format + round(pBTable[i] * pow(2, 15)) +*/ +const q15_t __ALIGNED(4) realCoefBQ15[8192] = { + (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000, + (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000, + (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff, + (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff, + (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe, + (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd, + (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc, + (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb, + (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa, + (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9, + (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7, + (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5, + (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3, + (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1, + (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef, + (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed, + (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea, + (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8, + (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5, + (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2, + (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf, + (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc, + (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8, + (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5, + (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1, + (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd, + (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9, + (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5, + (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0, + (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc, + (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7, + (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2, + (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad, + (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8, + (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3, + (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e, + (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98, + (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92, + (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c, + (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86, + (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80, + (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a, + (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73, + (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d, + (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66, + (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f, + (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58, + (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51, + (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49, + (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42, + (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a, + (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32, + (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a, + (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22, + (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19, + (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, 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(q15_t)0x493f, (q15_t)0xc0ac, + (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5, + (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e, + (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097, + (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090, + (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089, + (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083, + (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d, + (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077, + (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071, + (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b, + (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065, + (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060, + (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a, + (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055, + (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050, + (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b, + (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047, + (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042, + (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d, + (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039, + (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035, + (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031, + (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d, + (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a, + (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026, + (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023, + (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020, + (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d, + (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a, + (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017, + (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014, + (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012, + (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010, + (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e, + (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c, + (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a, + (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008, + (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007, + (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005, + (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004, + (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003, + (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002, + (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001, + (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001, + (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000, + (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000, + (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000, +}; + +#endif +/** + @} end of RealFFT_Table group + */ + +/** + @ingroup DCT4_IDCT4 + */ + +/** + @addtogroup DCT4_IDCT4_Table DCT Type IV Tables + @{ + */ + +/** + @brief Weights Table + */ + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for(i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos (i*c);
+    weights[(2*i)+1] = -sin (i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + + +/** + @par + cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + @par + 
 for(i = 0; i< N; i++)
+  {
+     cos_factors[i]= 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) +*/ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + const float32_t Weights_128[256] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, -0.012271538285719925f, + 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f, + 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f, + 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f, + 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f, + 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f, + 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f, + 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f, + 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f, + 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f, + 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f, + 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f, + 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f, + 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f, + 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f, + 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f, + 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f, + 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f, + 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, -0.438616238538527660f, + 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, -0.460538710958240010f, + 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, -0.482183772079122720f, + 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, -0.503538383725717580f, + 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, -0.524589682678468950f, + 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, -0.545324988422046460f, + 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, -0.565731810783613120f, + 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, -0.585797857456438860f, + 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, -0.605511041404325550f, + 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, -0.624859488142386340f, + 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, -0.643831542889791390f, + 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, -0.662415777590171780f, + 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, -0.680600997795453020f, + 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, -0.698376249408972920f, + 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, -0.715730825283818590f, + 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, -0.732654271672412820f, + 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, -0.749136394523459260f, + 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, -0.765167265622458960f, + 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, -0.780737228572094380f, + 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, -0.795836904608883460f, + 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, 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0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, -0.937339011912574960f, + 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, -0.945607325380521280f, + 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, -0.953306040354193750f, + 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, -0.960430519415565790f, + 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, -0.966976471044852070f, + 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, -0.972939952205560070f, + 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, -0.978317370719627650f, + 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, -0.983105487431216290f, + 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, -0.987301418157858430f, + 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, -0.990902635427780010f, + 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, -0.993906970002356060f, + 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f, + 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f, + 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f, + 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f +}; + + const float32_t cos_factors_128[128] = { + 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, + 0.999077727752645360f, + 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, + 0.995767414467659820f, + 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, + 0.990058210262297120f, + 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, + 0.981963869109555240f, + 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, + 0.971503890986251780f, + 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0.000191747598192208f +}; + #endif + +/** + @brief Weights Table + */ + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for(i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + Converted the output to q15 format by multiplying with 2^31 and saturated if required. + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + +/** + @par + cosFactor tables are generated using the formula : 
 cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) + @par + Then converted to q15 format by multiplying with 2^31 and saturated if required. +*/ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + + const q15_t __ALIGNED(4) WeightsQ15_128[256] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003 +}; + const q15_t __ALIGNED(4) cos_factorsQ15_128[128] = { + (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75, + (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0, + (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6, + (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e, + (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141, + (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc, + (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371, + (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10, + (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce, + (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3, + (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07, + (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5, + (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8, + (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd, + (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53, + (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + const q15_t __ALIGNED(4) WeightsQ15_512[1024] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9, + (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a, + (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e, + (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81, + (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6, + (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0, + (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457, + (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf, + (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2, + (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e, + (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb, + (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8, + (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839, + (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc, + (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6, + (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d, + (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7, + (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef, + (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e, + (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e, + (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836, + (q15_t)0x7307, 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(q15_t)0x90d3, + (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e10, (q15_t)0x900e, + (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3caf, (q15_t)0x8f4d, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b4c, (q15_t)0x8e91, + (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x39e6, (q15_t)0x8dd9, + (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x387e, (q15_t)0x8d25, + (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3714, (q15_t)0x8c76, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35a8, (q15_t)0x8bcb, + (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x343a, (q15_t)0x8b25, + (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x32ca, (q15_t)0x8a83, + (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x3158, (q15_t)0x89e5, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x2fe4, (q15_t)0x894d, + (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2e6e, (q15_t)0x88b9, + (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2cf7, (q15_t)0x8829, + (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2b7d, (q15_t)0x879e, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a02, (q15_t)0x8718, + (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x2886, (q15_t)0x8696, + (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2707, (q15_t)0x8619, + (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x2588, (q15_t)0x85a1, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2407, (q15_t)0x852d, + (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x2284, (q15_t)0x84be, + (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2100, (q15_t)0x8454, + (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1f7b, (q15_t)0x83ef, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1df5, (q15_t)0x838f, + (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1c6d, (q15_t)0x8333, + (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1ae4, (q15_t)0x82dc, + (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x195b, (q15_t)0x828a, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x17d0, (q15_t)0x823d, + (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x1645, (q15_t)0x81f4, + (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x14b8, (q15_t)0x81b1, + (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x132b, (q15_t)0x8172, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x119d, (q15_t)0x8138, + (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x100e, (q15_t)0x8103, + (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xe7f, (q15_t)0x80d3, + (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xcef, (q15_t)0x80a8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xb5f, (q15_t)0x8082, + (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa33, (q15_t)0x8069, (q15_t)0x9ce, (q15_t)0x8061, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001 +}; + + const q15_t __ALIGNED(4) cos_factorsQ15_512[512] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7, + (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda, + (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa, + (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67, + (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f, + (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4, + (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26, + (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94, + (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee, + (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36, + (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a, + (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b, + (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999, + (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895, + (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e, + (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654, + (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519, + (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb, + (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b, + (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa, + (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77, + (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3, + (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f, + (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89, + (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3, + (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed, + (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507, + (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311, + (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d, + (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9, + (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6, + (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5, + (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867, + (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a, + (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1, + (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a, + (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7, + (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68, + (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd, + (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746, + (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5, + (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9, + (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43, + (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83, + (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9, + (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7, + (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c, + (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a, + (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f, + (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e, + (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856, + (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558, + (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254, + (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a, + (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c, + (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a, + (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613, + (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9, + (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd, + (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd, + (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c, + (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a, + (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356, + (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32 +}; + + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + const q15_t __ALIGNED(4) WeightsQ15_2048[4096] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fde, (q15_t)0xfa36, + (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fd9, (q15_t)0xf9d2, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd4, (q15_t)0xf96d, + (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fcf, (q15_t)0xf909, + (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fc9, (q15_t)0xf8a5, + (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc3, (q15_t)0xf840, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbd, (q15_t)0xf7dc, + (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb7, (q15_t)0xf778, + (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb0, (q15_t)0xf713, + (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7fa9, (q15_t)0xf6af, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa1, (q15_t)0xf64b, + (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f99, (q15_t)0xf5e7, + (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f91, (q15_t)0xf582, + (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f89, (q15_t)0xf51e, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f80, (q15_t)0xf4ba, + (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f77, (q15_t)0xf456, + (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f6e, (q15_t)0xf3f2, + (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f64, (q15_t)0xf38e, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5a, (q15_t)0xf32a, + (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f50, (q15_t)0xf2c6, + (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f45, (q15_t)0xf262, + (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3b, (q15_t)0xf1fe, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f2f, (q15_t)0xf19a, + (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f24, (q15_t)0xf136, + (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f18, (q15_t)0xf0d2, + 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(q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063, + (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054, + (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d, + (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046, + (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a, + (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034, + (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e, + (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024, + (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020, + (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c, + (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014, + (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011, + (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e, + (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001 +}; + const q15_t __ALIGNED(4) cos_factorsQ15_2048[2048] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, + (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea, + (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2, + (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9, + (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3, + (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6, + (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8, + (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98, + (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88, + (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76, + (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63, + (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f, + (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39, + (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23, + (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b, + (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1, + (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7, + (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb, + (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f, + (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81, + (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61, + (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41, + (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f, + (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc, + (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8, + (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3, + (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c, + (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65, + (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c, + (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11, + (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6, + (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9, + (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c, + (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d, + (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d, + (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb, + (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9, + (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95, + (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60, + (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a, + (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2, + (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba, + (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80, + (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45, + (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09, + (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc, + (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e, + (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e, + (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d, + (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb, + (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888, + 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(q15_t)0x1098, (q15_t)0x107f, + (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7, + (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0, + (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28, + (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60, + (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98, + (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0, + (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07, + (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f, + (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977, + (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae, + (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5, + (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d, + (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654, + (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b, + (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2, + (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9, + (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330, + (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267, + (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e, + (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5, + (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc + +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + const q15_t __ALIGNED(4) WeightsQ15_8192[16384] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee, + (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5, + (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb, + (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89, + (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70, + (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57, + (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25, + (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b, + (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2, + (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0, + (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7, + (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e, + (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c, + (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42, + (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29, + (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7, + (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde, + (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5, + (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93, + (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79, + (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60, + (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e, + (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15, + (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc, + (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9, + (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0, + (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97, + (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65, + (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c, + (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33, + (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01, + (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7, + (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce, + (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c, + (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83, + (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a, + (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38, + (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e, + (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05, + (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3, + (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba, + (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1, + (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f, + (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56, + (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c, + (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23, + (q15_t)0x7fdd, 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(q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b, + (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a, + (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009, + (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009, + (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008, + (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007, + (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007, + (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006, + (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005, + (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005, + (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004, + (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004, + (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003, + (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003, + (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002, + (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002, + (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002, + (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002, + (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001, + (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001, + (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001, + (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001, + (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001, + (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001, + (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001, + (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001 +}; + + const q15_t __ALIGNED(4) cos_factorsQ15_8192[8192] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, + (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, + (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, + (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, + (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, + (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, + (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, + (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, + (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, + (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed, + (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb, + (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9, + (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, + (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, + (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, + (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1, + (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf, + (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd, + (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, + (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8, + (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6, + (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3, + (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0, + (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb, + (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8, + (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5, + (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2, + (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf, + (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc, + (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8, + (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5, + (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2, + (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae, + (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab, + (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7, + (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, 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(q15_t)0xe50, + (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e, + (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec, + (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba, + (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88, + (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56, + (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24, + (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2, + (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0, + (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e, + (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c, + (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a, + (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8, + (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6, + (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94, + (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62, + (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30, + (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe, + (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc, + (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a, + (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68, + (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36, + (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04, + (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1, + (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f, + (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d, + (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b, + (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909, + (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7, + (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5, + (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872, + (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840, + (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e, + (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc, + (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa, + (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778, + (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745, + (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713, + (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1, + (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af, + (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d, + (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a, + (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618, + (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6, + (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4, + (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582, + (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f, + (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d, + (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb, + (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9, + (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487, + (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454, + (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422, + (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0, + (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be, + (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b, + (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359, + (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327, + (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5, + (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2, + (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290, + (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e, + (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c, + (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9, + (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7, + (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195, + (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162, + (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130, + (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe, + (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc, + (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99, + (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67, + (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35, + (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3 +}; + #endif + +/** + @par + Weights tables are generated using the formula : 
weights[n] = e^(-j*n*pi/(2*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  }
+ @par + where N is the Number of weights to be calculated and c is pi/(2*N) + @par + Convert the output to q31 format by multiplying with 2^31 and saturated if required. + @par + In the tables below the real and imaginary values are placed alternatively, hence the + array length is 2*N. + */ + +/** + @par + cosFactor tables are generated using the formula : 
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+ @par + C command to generate the table + 
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  }
+ @par + where N is the number of factors to generate and c is pi/(2*N) + @par + Then converted to q31 format by multiplying with 2^31 and saturated if required. +*/ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + const q31_t WeightsQ31_128[256] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, + (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x07d95b9e, (q31_t)0x803daa6a, + (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x01921d20, (q31_t)0x800277a6 +}; + const q31_t cos_factorsQ31_128[128] = { + (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3, + (q31_t)0x7f97cebd, (q31_t)0x7f754e80, + (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff, + (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8, + (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89, + (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4, + (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df, + (q31_t)0x77235f2d, (q31_t)0x768e0ea6, + (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7, + (q31_t)0x71fa3949, (q31_t)0x71410805, + (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c, + (q31_t)0x6bb812d1, (q31_t)0x6adcc964, + (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92, + (q31_t)0x646c59bf, (q31_t)0x637114cc, + (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237, + (q31_t)0x5c290acc, (q31_t)0x5b1035cf, + (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d, + (q31_t)0x53028518, (q31_t)0x51ced46e, + (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e, + (q31_t)0x490f57ee, (q31_t)0x47c3c22f, + (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98, + (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6, + (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250, + (q31_t)0x3326e2c3, (q31_t)0x31b54a5e, + (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b, + (q31_t)0x27679df4, (q31_t)0x25e845b6, + (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3, + (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3, + (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048, + (q31_t)0xee38766, (q31_t)0xd53db92, + (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7, + (q31_t)0xc90f88 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + const q31_t WeightsQ31_512[1024] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273, + (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, + (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, + (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, + (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, 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(q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59ac3cfd, (q31_t)0xa4a94043, + (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x588b9140, (q31_t)0xa3914da8, + (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x57677b9d, (q31_t)0xa27ceb4f, + (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x56400758, (q31_t)0xa16c23e1, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x55153fd4, (q31_t)0xa05f01e1, + (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x53e73097, (q31_t)0x9f558fb0, + (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52b5e546, (q31_t)0x9e4fd78a, + (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x518169a5, (q31_t)0x9d4de385, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x5049c999, (q31_t)0x9c4fbd93, + (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f0f1126, (q31_t)0x9b556f81, + (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, + (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4c9087b1, (q31_t)0x996c816f, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b4ccf4d, (q31_t)0x987df449, + (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a062fbd, (q31_t)0x979364b5, + (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x48bcb599, (q31_t)0x96acdbbe, + (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47706d93, (q31_t)0x95ca6247, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x4621647d, (q31_t)0x94ec010b, + (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x44cfa740, (q31_t)0x9411c09e, + (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x437b42e1, (q31_t)0x933ba968, + (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x42244481, (q31_t)0x9269c3ac, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x40cab958, (q31_t)0x919c1781, + (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, + (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e10320d, (q31_t)0x900d8b69, + (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b4c18ba, (q31_t)0x8e904298, + (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x39e6975e, (q31_t)0x8dd829e4, + (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x387eda8e, (q31_t)0x8d2477d8, + (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3714f02a, (q31_t)0x8c753362, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35a8e625, (q31_t)0x8bca6343, + (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x343aca87, (q31_t)0x8b240e11, + (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x32caab6f, (q31_t)0x8a823a36, + (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x3158970e, (q31_t)0x89e4edef, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, + (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2e6ec792, (q31_t)0x88b80432, + (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2cf72939, (q31_t)0x88287256, + (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a02c7b8, (q31_t)0x8717304e, + (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x288621b9, (q31_t)0x86958aac, + (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2707ebc7, (q31_t)0x86189359, + (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x2588349d, (q31_t)0x85a04f28, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb, + (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22847de0, (q31_t)0x84bdf286, + (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf, + (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507, + (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97, + (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, + (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, + (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0f475bff, (q31_t)0x80ea4712, (q31_t)0x0ee38766, (q31_t)0x80de6e4c, (q31_t)0x0e7fa99e, (q31_t)0x80d2e3f2, + (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, (q31_t)0x0db7d376, (q31_t)0x80bcba9d, (q31_t)0x0d53db92, (q31_t)0x80b21baf, (q31_t)0x0cefdb76, (q31_t)0x80a7cb49, + (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0c27c389, (q31_t)0x8094162c, (q31_t)0x0bc3ac35, (q31_t)0x808ab180, (q31_t)0x0b5f8d9f, (q31_t)0x80819b74, + (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x0a973ba5, (q31_t)0x80705b50, (q31_t)0x0a3308bd, (q31_t)0x80683143, (q31_t)0x09cecf89, (q31_t)0x806055eb, + (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x09064b3a, (q31_t)0x80518b6b, (q31_t)0x08a2009a, (q31_t)0x804a9c4d, (q31_t)0x083db0a7, (q31_t)0x8043fbf6, + (q31_t)0x07d95b9e, (q31_t)0x803daa6a, (q31_t)0x077501be, (q31_t)0x8037a7ac, (q31_t)0x0710a345, (q31_t)0x8031f3c2, (q31_t)0x06ac406f, (q31_t)0x802c8ead, + (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x05e36ea9, (q31_t)0x8022b114, (q31_t)0x057f0035, (q31_t)0x801e3895, (q31_t)0x051a8e5c, (q31_t)0x801a0ef8, + (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x0451a177, (q31_t)0x8012a86f, (q31_t)0x03ed26e6, (q31_t)0x800f6b88, (q31_t)0x0388a9ea, (q31_t)0x800c7d8c, + (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x02bfa9a4, (q31_t)0x80078e5e, (q31_t)0x025b26d7, (q31_t)0x80058d2f, (q31_t)0x01f6a297, (q31_t)0x8003daf1, + (q31_t)0x01921d20, (q31_t)0x800277a6, (q31_t)0x012d96b1, (q31_t)0x8001634e, (q31_t)0x00c90f88, (q31_t)0x80009dea, (q31_t)0x006487e3, (q31_t)0x8000277a +}; + const q31_t cos_factorsQ31_512[512] = { + (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce, + (q31_t)0x7ff97c18, (q31_t)0x7ff75370, + (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616, + (q31_t)0x7fdf9508, (q31_t)0x7fdaf519, + (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8, + (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c, + (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a, + (q31_t)0x7f70a5fe, (q31_t)0x7f671a05, + (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af, + (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25, + (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270, + (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58, + (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b, + (q31_t)0x7e37042a, (q31_t)0x7e26221f, + (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534, + (q31_t)0x7da77359, (q31_t)0x7d9423fc, + (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf, + (q31_t)0x7d048228, (q31_t)0x7ceec873, + (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc, + (q31_t)0x7c4e49b7, (q31_t)0x7c362904, + (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6, + (q31_t)0x7b84e61f, (q31_t)0x7b6a6227, + (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec, + (q31_t)0x7aa8766f, (q31_t)0x7a8b9348, + (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f, + (q31_t)0x79b91ca4, (q31_t)0x7999dec4, + (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb, + (q31_t)0x78b6fda8, (q31_t)0x789569df, + (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01, + (q31_t)0x77a24148, (q31_t)0x777e5cc3, + (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2, + (q31_t)0x767b1231, (q31_t)0x7654e279, + (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99, + (q31_t)0x75419de7, (q31_t)0x751928e0, + (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150, + (q31_t)0x73f614c0, (q31_t)0x73cb60a8, + (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1, + (q31_t)0x7298a9dd, (q31_t)0x726bbd48, + (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74, + (q31_t)0x7129931f, (q31_t)0x70fa74fc, + (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae, + (q31_t)0x6fa90921, (q31_t)0x6f77c0b3, + (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66, + (q31_t)0x6e174730, (q31_t)0x6de3dc11, + (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b, + (q31_t)0x6c748b3f, (q31_t)0x6c3f055d, + (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c, + (q31_t)0x6ac115e2, (q31_t)0x6a897d7d, + (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce, + (q31_t)0x68fd2a3d, (q31_t)0x68c387e9, + (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0, + (q31_t)0x67290e02, (q31_t)0x66ed6aa1, + (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622, + (q31_t)0x6545095f, (q31_t)0x65076e25, + (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a, + (q31_t)0x635166f9, (q31_t)0x6311dd64, + (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7, + (q31_t)0x614e73da, (q31_t)0x610d05b7, + (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46, + (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1, + (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7, + (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5, + (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce, + (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5, + (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9, + (q31_t)0x58afd6bd, (q31_t)0x58673e1b, + (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750, + (q31_t)0x566524aa, (q31_t)0x561adcb9, + (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9, + (q31_t)0x540d2005, (q31_t)0x53c13439, + (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea, + (q31_t)0x51a82555, (q31_t)0x515aa162, + (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269, + (q31_t)0x4f369320, (q31_t)0x4ee782fb, + (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0, + (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7, + (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de, + (q31_t)0x4a2f2be6, (q31_t)0x49dd282a, + (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6, + (q31_t)0x479a1d67, (q31_t)0x4746b2bc, + (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80, + (q31_t)0x44fa0450, (q31_t)0x44a53f93, + (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b, + (q31_t)0x424f4845, (q31_t)0x41f93689, + (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca, + (q31_t)0x3f9a5290, (q31_t)0x3f430119, + (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39, + (q31_t)0x3cdb8e09, (q31_t)0x3c830a50, + (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96, + (q31_t)0x3a136712, (q31_t)0x39b9bebc, + (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885, + (q31_t)0x37424b7b, (q31_t)0x36e78c5b, + (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d, + (q31_t)0x3468aa76, (q31_t)0x340ce28b, + (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889, + (q31_t)0x3186f487, (q31_t)0x312a31f8, + (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95, + (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b, + (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa, + (q31_t)0x2bad1221, (q31_t)0x2b4e8558, + (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1, + (q31_t)0x28b5cca5, (q31_t)0x2856708d, + (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581, + (q31_t)0x25b84012, (q31_t)0x2558235f, + (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88, + (q31_t)0x22b4e274, (q31_t)0x225413f8, + (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d, + (q31_t)0x1fac2abf, (q31_t)0x1f4ab968, + (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d, + (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c, + (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707, + (q31_t)0x198c8ce7, (q31_t)0x192a0304, + (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c, + (q31_t)0x1676987f, (q31_t)0x16139918, + (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a, + (q31_t)0x135d2d53, (q31_t)0x12f9c7aa, + (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b, + (q31_t)0x1040c5bb, (q31_t)0xfdd0926, + (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87, + (q31_t)0xcbdd865, + (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8, + (q31_t)0x99cb0a7, + (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262, + (q31_t)0x67a0d76, + (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2, + (q31_t)0x3566a96, + (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1, + (q31_t)0x3243f5 +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + const q31_t WeightsQ31_2048[4096] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, + (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b, + (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3, + (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f, + (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed, + (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a, + (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574, + (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423, + (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5, + (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea, + (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8, + (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc, + (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b, + (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21, + (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5, + (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xa4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a, + (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3, + (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2, + (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba, + (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d, + (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32, + (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848, + (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8, + (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae, + (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa, + (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9, + (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88, + (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642, + (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0, + (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e, + (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d, + (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e53d462, (q31_t)0xeb601c04, + (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e437a9c, (q31_t)0xeafceac6, + (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3b3083, (q31_t)0xeacb56ff, (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e32d2f4, (q31_t)0xea99c67e, + (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e21dd73, (q31_t)0xea36af69, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5, + (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e0374a0, 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(q31_t)0x17e958ea, (q31_t)0x8240d673, + (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240, + (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, + (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae, + (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13, + (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d, + (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4, + (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715, + (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032, + (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754, + (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd, + (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136, + (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca, + (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90, + (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, + (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63, + (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446, + (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984, + (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24, + (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, + (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, + (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, + (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, + (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806, + (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f, + (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c, + (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998, + (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87, + (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f, + (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466, + (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560, + (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512, + (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381, + (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2, + (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9, + (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a, + (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8, + (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959, + (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e, + (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86, + (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f, + (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa, + (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc, + (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf, + (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278 +}; + const q31_t cos_factorsQ31_2048[2048] = { + (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c, + (q31_t)0x7fff97c1, (q31_t)0x7fff7536, + (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52, + (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37, + (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78, + (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a, + (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6, + (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7, + (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275, + (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688, + (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62, + (q31_t)0x7feb296d, (q31_t)0x7fea418b, + (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac, + (q31_t)0x7fe36045, (q31_t)0x7fe250ef, + (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67, + (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca, + (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8, + (q31_t)0x7fd01b63, (q31_t)0x7fcebd31, + (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089, + (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d, + (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125, + (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d, + (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b, + (q31_t)0x7fa9f723, (q31_t)0x7fa822bf, + (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d, + (q31_t)0x7f9aca37, (q31_t)0x7f98ce76, + (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1, + (q31_t)0x7f8a6272, (q31_t)0x7f883f58, + (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e, + (q31_t)0x7f78bffb, (q31_t)0x7f76758e, + (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0, + (q31_t)0x7f65e2ff, (q31_t)0x7f637144, + (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5, + (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9, + (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d, + (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee, + (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d, + (q31_t)0x7f25eec7, (q31_t)0x7f230749, + (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d, + (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2, + (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7, + (q31_t)0x7ef52b00, (q31_t)0x7ef1f524, + (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38, + (q31_t)0x7edaf31c, (q31_t)0x7ed7961c, + (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f, + (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c, + (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2, + (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68, + (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5, + (q31_t)0x7e84f67e, (q31_t)0x7e812447, + (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093, + (q31_t)0x7e65dc3b, (q31_t)0x7e61e303, + (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567, + (q31_t)0x7e458a17, (q31_t)0x7e4169e9, + (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2, + (q31_t)0x7e240064, (q31_t)0x7e1fb94a, + (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894, + (q31_t)0x7e013f74, (q31_t)0x7dfcd178, + (q31_t)0x7df85ea0, (q31_t)0x7df3e6ee, (q31_t)0x7def6a60, (q31_t)0x7deae8f7, (q31_t)0x7de662b3, (q31_t)0x7de1d795, + (q31_t)0x7ddd479d, (q31_t)0x7dd8b2ca, + (q31_t)0x7dd4191d, (q31_t)0x7dcf7a96, (q31_t)0x7dcad736, (q31_t)0x7dc62efc, (q31_t)0x7dc181e8, (q31_t)0x7dbccffc, + (q31_t)0x7db81936, (q31_t)0x7db35d98, + (q31_t)0x7dae9d21, (q31_t)0x7da9d7d2, (q31_t)0x7da50dab, (q31_t)0x7da03eab, (q31_t)0x7d9b6ad3, (q31_t)0x7d969224, + (q31_t)0x7d91b49e, (q31_t)0x7d8cd240, + (q31_t)0x7d87eb0a, (q31_t)0x7d82fefe, (q31_t)0x7d7e0e1c, (q31_t)0x7d791862, (q31_t)0x7d741dd2, (q31_t)0x7d6f1e6c, + (q31_t)0x7d6a1a31, (q31_t)0x7d65111f, + (q31_t)0x7d600338, (q31_t)0x7d5af07b, (q31_t)0x7d55d8e9, (q31_t)0x7d50bc82, (q31_t)0x7d4b9b46, (q31_t)0x7d467536, + (q31_t)0x7d414a51, (q31_t)0x7d3c1a98, + (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5, + (q31_t)0x7d174564, (q31_t)0x7d11ef11, + (q31_t)0x7d0c93eb, (q31_t)0x7d0733f3, (q31_t)0x7d01cf29, (q31_t)0x7cfc658d, (q31_t)0x7cf6f720, (q31_t)0x7cf183e1, + (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0, + (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94, + (q31_t)0x7cbf9e03, (q31_t)0x7cb9faa2, + (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b, + (q31_t)0x7c91fc66, (q31_t)0x7c8c3294, + (q31_t)0x7c8663f4, (q31_t)0x7c809088, (q31_t)0x7c7ab84e, (q31_t)0x7c74db48, (q31_t)0x7c6ef976, (q31_t)0x7c6912d7, + (q31_t)0x7c63276d, (q31_t)0x7c5d3737, + (q31_t)0x7c574236, (q31_t)0x7c514869, (q31_t)0x7c4b49d2, (q31_t)0x7c45466f, (q31_t)0x7c3f3e42, (q31_t)0x7c39314b, + (q31_t)0x7c331f8a, (q31_t)0x7c2d08ff, + (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d, + (q31_t)0x7c01e534, (q31_t)0x7bfba863, + (q31_t)0x7bf566cb, (q31_t)0x7bef206b, (q31_t)0x7be8d544, (q31_t)0x7be28556, (q31_t)0x7bdc30a1, (q31_t)0x7bd5d726, + (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd, + (q31_t)0x7bc2ae10, (q31_t)0x7bbc417e, (q31_t)0x7bb5d026, (q31_t)0x7baf5a09, (q31_t)0x7ba8df28, (q31_t)0x7ba25f82, + (q31_t)0x7b9bdb18, (q31_t)0x7b9551ea, + (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0, + (q31_t)0x7b670c4d, (q31_t)0x7b605d09, + (q31_t)0x7b59a902, (q31_t)0x7b52f03a, (q31_t)0x7b4c32b1, (q31_t)0x7b457068, (q31_t)0x7b3ea95d, (q31_t)0x7b37dd92, + (q31_t)0x7b310d07, (q31_t)0x7b2a37bc, + (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d, + (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b, + (q31_t)0x7aebe28d, (q31_t)0x7ae4ddd2, (q31_t)0x7addd45b, (q31_t)0x7ad6c626, (q31_t)0x7acfb336, (q31_t)0x7ac89b89, + (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc, + (q31_t)0x7ab3381d, (q31_t)0x7aac0d82, (q31_t)0x7aa4de2d, (q31_t)0x7a9daa1d, (q31_t)0x7a967153, (q31_t)0x7a8f33d0, + (q31_t)0x7a87f192, (q31_t)0x7a80aa9c, + (q31_t)0x7a795eec, (q31_t)0x7a720e84, (q31_t)0x7a6ab963, (q31_t)0x7a635f8a, (q31_t)0x7a5c00f9, (q31_t)0x7a549db0, + (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9, + (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9, + (q31_t)0x7a114c09, (q31_t)0x7a09b9a4, + (q31_t)0x7a02228a, (q31_t)0x79fa86bc, (q31_t)0x79f2e63a, (q31_t)0x79eb4105, (q31_t)0x79e3971c, (q31_t)0x79dbe880, + (q31_t)0x79d43532, (q31_t)0x79cc7d31, + (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a, + (q31_t)0x7995f1c1, (q31_t)0x798e1438, + (q31_t)0x798631ff, (q31_t)0x797e4b16, (q31_t)0x79765f7f, (q31_t)0x796e6f39, (q31_t)0x79667a44, (q31_t)0x795e80a1, + (q31_t)0x79568250, (q31_t)0x794e7f52, + (q31_t)0x794677a6, (q31_t)0x793e6b4e, (q31_t)0x79365a49, (q31_t)0x792e4497, (q31_t)0x79262a3a, (q31_t)0x791e0b31, + (q31_t)0x7915e77c, (q31_t)0x790dbf1d, + (q31_t)0x79059212, (q31_t)0x78fd605d, (q31_t)0x78f529fe, (q31_t)0x78eceef6, (q31_t)0x78e4af44, (q31_t)0x78dc6ae8, + (q31_t)0x78d421e4, (q31_t)0x78cbd437, + (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a, + (q31_t)0x7891322a, (q31_t)0x7888bf45, + (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a, + (q31_t)0x784d18f4, (q31_t)0x784480ea, + (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60, + (q31_t)0x7807d6e9, (q31_t)0x77ff19d1, + (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27, + (q31_t)0x77c16cb4, (q31_t)0x77b88aa3, + (q31_t)0x77afa3f5, (q31_t)0x77a6b8a9, (q31_t)0x779dc8c0, (q31_t)0x7794d43b, (q31_t)0x778bdb19, (q31_t)0x7782dd5c, + (q31_t)0x7779db03, (q31_t)0x7770d40f, + (q31_t)0x7767c880, (q31_t)0x775eb857, (q31_t)0x7755a394, (q31_t)0x774c8a36, (q31_t)0x77436c40, (q31_t)0x773a49b0, + (q31_t)0x77312287, (q31_t)0x7727f6c6, + (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5, + (q31_t)0x76e743f4, (q31_t)0x76ddf37c, + (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082, + (q31_t)0x769c3ffe, (q31_t)0x7692cae8, + (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f, + (q31_t)0x76501760, (q31_t)0x76467dc2, + (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457, + (q31_t)0x7602cad5, (q31_t)0x75f90cc7, + (q31_t)0x75ef4a2c, (q31_t)0x75e58305, (q31_t)0x75dbb753, (q31_t)0x75d1e715, (q31_t)0x75c8124d, (q31_t)0x75be38fa, + (q31_t)0x75b45b1d, (q31_t)0x75aa78b6, + (q31_t)0x75a091c6, (q31_t)0x7596a64d, (q31_t)0x758cb64c, (q31_t)0x7582c1c2, (q31_t)0x7578c8b0, (q31_t)0x756ecb18, + (q31_t)0x7564c8f8, (q31_t)0x755ac251, + (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, 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(q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4, + (q31_t)0x16073834, (q31_t)0x15ee75cb, + (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1, + (q31_t)0x15410d70, (q31_t)0x1528445d, + (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee, + (q31_t)0x147aae3a, (q31_t)0x1461debc, + (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167, + (q31_t)0x13b41c7d, (q31_t)0x139b46d0, + (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505, + (q31_t)0x12ed5a21, (q31_t)0x12d47e83, + (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2, + (q31_t)0x12266913, (q31_t)0x120d87c1, + (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159, + (q31_t)0x115f4b3c, (q31_t)0x11466473, + (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5, + (q31_t)0x10980287, (q31_t)0x107f1686, + (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143, + (q31_t)0xfd090e1, (q31_t)0xfb79fe4, + (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836, + (q31_t)0xef0027b, + (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72, + (q31_t)0xe284036, + (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982, + (q31_t)0xd605b03, + (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752, + (q31_t)0xc9854cf, + (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2, + (q31_t)0xbd02f87, + (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee, + (q31_t)0xb07ed19, + (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94, + (q31_t)0xa3f8f73, + (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3, + (q31_t)0x9771884, + (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a, + (q31_t)0x8ae8a3a, + (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16, + (q31_t)0x7e5e685, + (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738, + (q31_t)0x71d2f52, + (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f, + (q31_t)0x6546692, + (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09, + (q31_t)0x58b8e34, + (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597, + (q31_t)0x4c2a827, + (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528, + (q31_t)0x3f9b65b, + (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac, + (q31_t)0x330bac1, + (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813, + (q31_t)0x267b747, + (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d, + (q31_t)0x19eaddd, + (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249, + (q31_t)0xd5a075, + (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8, + (q31_t)0xc90fe +}; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + const q31_t WeightsQ31_8192[16384] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, (q31_t)0xffed2684, + (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, (q31_t)0x7ffff872, (q31_t)0xffd40489, + (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, (q31_t)0x7fffed57, (q31_t)0xffbae290, + (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, (q31_t)0x7fffc854, (q31_t)0xff889ea7, + (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, (q31_t)0x7fffae6c, (q31_t)0xff6f7cba, + (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, (q31_t)0x7fff8f94, (q31_t)0xff565ad1, + (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, (q31_t)0x7fff4317, (q31_t)0xff241715, + (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, (q31_t)0x7fff1572, (q31_t)0xff0af543, + (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b, + (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a, + (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, (q31_t)0x7ffe2d83, (q31_t)0xfea66e64, + (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb, + (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5, + (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a, + (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, (q31_t)0x7ffc9c92, (q31_t)0xfe28c700, + (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484, + (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, (q31_t)0x7ffb70cb, (q31_t)0xfddd6363, + (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, (q31_t)0x7ffb0300, (q31_t)0xfdc44258, + (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, (q31_t)0x7ffa9045, (q31_t)0xfdab2162, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, (q31_t)0x7ffa189c, (q31_t)0xfd920084, + (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd, + (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10, + (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, (q31_t)0x7ff89405, (q31_t)0xfd469e7c, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04, + (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, (q31_t)0x7ff7784a, (q31_t)0xfd145da7, + (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67, + (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, (q31_t)0x7ff648d4, (q31_t)0xfce21d45, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41, + (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e, + (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b, + (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff355e4, (q31_t)0xfc710e36, (q31_t)0x7ff32905, (q31_t)0xfc6ac657, (q31_t)0x7ff2fbd7, (q31_t)0xfc647e7b, + (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff2a08f, (q31_t)0xfc57eec9, (q31_t)0x7ff27275, (q31_t)0xfc51a6f3, (q31_t)0x7ff2440b, (q31_t)0xfc4b5f20, + (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1e64c, (q31_t)0xfc3ecf80, (q31_t)0x7ff1b6f6, (q31_t)0xfc3887b3, (q31_t)0x7ff18751, (q31_t)0xfc323fe9, + (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, (q31_t)0x7ff1271a, (q31_t)0xfc25b05c, (q31_t)0x7ff0f688, (q31_t)0xfc1f6899, (q31_t)0x7ff0c5a7, (q31_t)0xfc1920d8, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7ff062f9, (q31_t)0xfc0c915e, (q31_t)0x7ff0312c, (q31_t)0xfc0649a5, (q31_t)0x7fefff0f, (q31_t)0xfc0001ee, + (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7fef99ea, (q31_t)0xfbf37287, (q31_t)0x7fef66e1, (q31_t)0xfbed2ad8, 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(q31_t)0x4f4e2d8, (q31_t)0x801893b4, (q31_t)0x4ee9b8c, (q31_t)0x80185592, + (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4e20cec, (q31_t)0x8017da3b, (q31_t)0x4dbc597, (q31_t)0x80179d06, (q31_t)0x4d57e40, (q31_t)0x80176020, + (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, (q31_t)0x4bc60c4, (q31_t)0x80166f9c, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, (q31_t)0x4a34319, (q31_t)0x80158406, + (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, (q31_t)0x48a2540, (q31_t)0x80149d5f, + (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, (q31_t)0x471073b, (q31_t)0x8013bba7, + (q31_t)0x46abfb3, (q31_t)0x801383fe, (q31_t)0x4647828, (q31_t)0x80134ca4, (q31_t)0x45e309a, (q31_t)0x80131599, (q31_t)0x457e90a, (q31_t)0x8012dedd, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, (q31_t)0x43ecaae, (q31_t)0x80120701, + (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, (q31_t)0x425ac28, (q31_t)0x80113414, + (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, (q31_t)0x40c8d79, (q31_t)0x80106616, + (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, (q31_t)0x3f36ea2, (q31_t)0x800f9d07, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3e6df28, (q31_t)0x800f3a59, (q31_t)0x3e09767, (q31_t)0x800f0978, (q31_t)0x3da4fa4, (q31_t)0x800ed8e6, + (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, (q31_t)0x3c13080, (q31_t)0x800e19b4, + (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3b4a0e0, (q31_t)0x800dbbf5, (q31_t)0x3ae590d, (q31_t)0x800d8d8b, (q31_t)0x3a81137, (q31_t)0x800d5f71, + (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, (q31_t)0x38ef1ca, (q31_t)0x800caa1c, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, (q31_t)0x375d23a, (q31_t)0x800bf9b7, + (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3694265, (q31_t)0x800ba35d, (q31_t)0x362fa78, (q31_t)0x800b78a7, (q31_t)0x35cb288, (q31_t)0x800b4e40, + (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x35022a2, (q31_t)0x800afa5e, (q31_t)0x349daac, (q31_t)0x800ad0e3, (q31_t)0x34392b4, (q31_t)0x800aa7b8, + (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, (q31_t)0x32a72c1, (q31_t)0x800a061f, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, (q31_t)0x31152ae, (q31_t)0x80096975, + (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, (q31_t)0x2f8327d, (q31_t)0x8008d1ba, + (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, (q31_t)0x2df122e, (q31_t)0x80083eed, + (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, (q31_t)0x2c5f1c3, (q31_t)0x8007b110, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, (q31_t)0x2acd13d, (q31_t)0x80072822, + (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, (q31_t)0x293b09c, (q31_t)0x8006a423, + (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, (q31_t)0x27a8fe2, (q31_t)0x80062513, + (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, (q31_t)0x2616f10, (q31_t)0x8005aaf2, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, (q31_t)0x2484e26, (q31_t)0x800535c0, + (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, (q31_t)0x22f2d25, (q31_t)0x8004c57d, + (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, (q31_t)0x2160c0f, (q31_t)0x80045a29, + (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, (q31_t)0x1fceae4, (q31_t)0x8003f3c5, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, (q31_t)0x1e3c9a6, (q31_t)0x8003924f, + (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, (q31_t)0x1caa855, (q31_t)0x800335c9, + (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, (q31_t)0x1b186f3, (q31_t)0x8002de32, + (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, (q31_t)0x198657f, (q31_t)0x80028b8a, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, (q31_t)0x17f43fc, (q31_t)0x80023dd2, + (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, (q31_t)0x166226a, (q31_t)0x8001f508, + (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, (q31_t)0x14d00ca, (q31_t)0x8001b12e, + (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, (q31_t)0x133df1e, (q31_t)0x80017243, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, (q31_t)0x11abd66, (q31_t)0x80013847, + (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, (q31_t)0x1019ba2, (q31_t)0x8001033b, + (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0x0f50abd, (q31_t)0x8000ea8e, (q31_t)0x0eec249, (q31_t)0x8000deaf, (q31_t)0x0e879d5, (q31_t)0x8000d31e, + (q31_t)0x0e23160, (q31_t)0x8000c7dc, (q31_t)0x0dbe8eb, (q31_t)0x8000bce9, (q31_t)0x0d5a075, (q31_t)0x8000b245, (q31_t)0x0cf57ff, (q31_t)0x8000a7f0, + (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0c2c711, (q31_t)0x80009433, (q31_t)0x0bc7e99, (q31_t)0x80008aca, (q31_t)0x0b63621, (q31_t)0x800081b1, + (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x0a9a52f, (q31_t)0x8000706c, (q31_t)0x0a35cb5, (q31_t)0x8000683f, (q31_t)0x09d143b, (q31_t)0x80006062, + (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x0908346, (q31_t)0x80005194, (q31_t)0x08a3acb, (q31_t)0x80004aa4, (q31_t)0x083f250, (q31_t)0x80004402, + (q31_t)0x07da9d4, (q31_t)0x80003daf, (q31_t)0x0776159, (q31_t)0x800037ac, (q31_t)0x07118dc, (q31_t)0x800031f7, (q31_t)0x06ad060, (q31_t)0x80002c91, + (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x05e3f66, (q31_t)0x800022b3, (q31_t)0x057f6e9, (q31_t)0x80001e3a, (q31_t)0x051ae6b, (q31_t)0x80001a10, + (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x0451d70, (q31_t)0x800012a9, (q31_t)0x03ed4f2, (q31_t)0x80000f6c, (q31_t)0x0388c74, (q31_t)0x80000c7e, + (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x02bfb77, (q31_t)0x8000078e, (q31_t)0x025b2f8, (q31_t)0x8000058d, (q31_t)0x01f6a7a, (q31_t)0x800003db, + (q31_t)0x01921fb, (q31_t)0x80000278, (q31_t)0x012d97c, (q31_t)0x80000163, (q31_t)0x00c90fe, (q31_t)0x8000009e, (q31_t)0x006487f, (q31_t)0x80000027 +}; + const q31_t cos_factorsQ31_8192[8192] = { + (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, (q31_t)0x7ffff97c, (q31_t)0x7ffff753, + (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3, + (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6, + (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, (q31_t)0x7fff708b, (q31_t)0x7fff66fc, + (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64, + (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f, + (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe, + (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, (q31_t)0x7ffda59d, (q31_t)0x7ffd922f, + (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, (q31_t)0x7ffd0189, (q31_t)0x7ffceba4, + (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b, + (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356, + (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195, + (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17, + (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, (q31_t)0x7ff8a519, (q31_t)0x7ff882dd, + (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7, + (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, (q31_t)0x7ff65c5f, (q31_t)0x7ff63535, + (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7, + (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e, + (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9, + (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19, + (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf, + (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, 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(q31_t)0x93b90a0, + (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, (q31_t)0x9096d79, + (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, (q31_t)0x8d748ed, + (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, (q31_t)0x8a52304, + (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, (q31_t)0x872fbc6, + (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, (q31_t)0x840d33b, + (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, (q31_t)0x80ea969, + (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, (q31_t)0x7dc7e5a, + (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, (q31_t)0x7aa5214, + (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, (q31_t)0x77824a0, + (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, (q31_t)0x745f604, + (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, (q31_t)0x713c64a, + (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, (q31_t)0x6e19578, + (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, (q31_t)0x6af6396, + (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, (q31_t)0x67d30ad, + (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, (q31_t)0x64afcc3, + (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, (q31_t)0x618c7e1, + (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, (q31_t)0x5e6920e, + (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, (q31_t)0x5b45b53, + (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, (q31_t)0x58223b6, + (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, (q31_t)0x54feb3f, + (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, (q31_t)0x51db1f7, + (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, (q31_t)0x4eb77e5, + (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, (q31_t)0x4b93d11, + (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, (q31_t)0x4870182, + (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, (q31_t)0x454c541, + (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, (q31_t)0x4228854, + (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, (q31_t)0x3f04ac4, + (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, (q31_t)0x3be0c99, + (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, (q31_t)0x38bcdda, + (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, (q31_t)0x3598e8f, + (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, (q31_t)0x3274ec0, + (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, (q31_t)0x2f50e74, + (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, (q31_t)0x2c2cdb4, + (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, (q31_t)0x2908c87, + (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, (q31_t)0x25e4af4, + (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, (q31_t)0x22c0904, + (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, (q31_t)0x1f9c6be, + (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, (q31_t)0x1c7842a, + (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, (q31_t)0x1954150, + (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, (q31_t)0x162fe37, + (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, (q31_t)0x130bae7, + (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, (q31_t)0xfe7769, + (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, (q31_t)0xcc33c3, + (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, (q31_t)0x99effe, + (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, (q31_t)0x67ac21, + (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, (q31_t)0x356835, + (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f +}; + #endif + +/** + @} end of DCT4_IDCT4_Table group + */ + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15) +/** + @brief Q15 table for reciprocal +*/ +const q15_t __ALIGNED(4) armRecipTableQ15[64] = { + 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, + 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, + 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, + 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, + 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, + 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, + 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, + 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, + 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, + 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, + 0x41CC, 0x4146, 0x40C2, 0x4040 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31) + +/** + @brief Q31 table for reciprocal +*/ +const q31_t armRecipTableQ31[64] = { + 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, + 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, + 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, + 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, + 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, + 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, + 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, + 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, + 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, + 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, + 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 +}; + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32) +/** + @par + Example code for the generation of the floating-point sine table: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ @par + where PI value is 3.14159265358979 + */ +const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = { + 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f, + 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f, + 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f, + 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f, + 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f, + 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f, + 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f, + 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f, + 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f, + 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f, + 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f, + 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f, + 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f, + 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f, + 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f, + 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f, + 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f, + 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f, + 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f, + 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f, + 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f, + 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f, + 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f, + 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f, + 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f, + 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f, + 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f, + 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f, + 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f, + 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f, + 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f, + 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f, + 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f, + 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f, + 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f, + 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f, + 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f, + 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f, + 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f, + 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f, + 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f, + 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f, + 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f, + -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f, + -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f, + -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, + -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, + -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, + -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, + -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, + -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, + -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, + -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, + -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, + -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, + -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, + -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, + -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, + -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, + -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, + -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, + -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, + -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, + -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, + -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, + -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, + -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, + -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, + -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, + -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, + -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, + -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, + -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, + -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, + -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, + -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, + -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, + -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, + -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, + -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, + -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, + -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, + -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, + -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, + -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, + -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, + -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, + -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, + -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, + -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, + -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, + -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, + -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, + -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f +}; +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31) +/** + @par + Table values are in Q31 (1.31 fixed-point format) and generation is done in + three steps. First, generate sin values in floating point: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ where PI value is 3.14159265358979 + @par + Second, convert floating-point to Q31 (Fixed point): + (sinTable[i] * pow(2, 31)) + @par + Finally, round to the nearest integer value: + sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5); + */ +const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = { + 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L, + 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L, + 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L, + 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L, + 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L, + 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L, + 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L, + 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L, + 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L, + 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L, + 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L, + 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L, + 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L, + 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L, + 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L, + 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L, + 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L, + 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L, + 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L, + 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L, + 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L, + 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L, + 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L, + 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L, + 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L, + 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L, + 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L, + 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L, + 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L, + 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L, + 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L, + 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L, + 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L, + 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L, + 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L, + 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L, + 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L, + 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L, + 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L, + 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L, + 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L, + 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L, + 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L, + -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L, + -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L, + -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L, + -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L, + -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L, + -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L, + -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L, + -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L, + -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L, + -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L, + -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L, + -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L, + -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L, + -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L, + -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L, + -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L, + -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L, + -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L, + -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L, + -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L, + -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L, + -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L, + -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L, + -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L, + -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L, + -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L, + -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L, + -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L, + -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L, + -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L, + -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L, + -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L, + -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L, + -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L, + -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L, + -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L, + -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L, + -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L, + -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L, + -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L, + -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L, + -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L, + -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L, + -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L, + -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L, + -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L, + -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L, + -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0 +}; + +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15) +/** + @par + Table values are in Q15 (1.15 fixed-point format) and generation is done in + three steps. First, generate sin values in floating point: + 
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }
+ where PI value is 3.14159265358979 + @par + Second, convert floating-point to Q15 (Fixed point): + (sinTable[i] * pow(2, 15)) + @par + Finally, round to the nearest integer value: + sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = { + 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808, + 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512, + 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279, + 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846, + 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160, + 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170, + 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833, + 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106, + 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957, + 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357, + 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286, + 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729, + 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679, + 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138, + 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114, + 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622, + 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684, + 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330, + 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595, + 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520, + 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151, + 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540, + 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351, + 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612, + 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206, + -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205, + -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127, + -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540, + -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800, + -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868, + -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706, + -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279, + -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557, + -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511, + -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118, + -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357, + -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214, + -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679, + -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746, + -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413, + -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686, + -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572, + -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086, + -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246, + -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073, + -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595, + -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841, + -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846, + -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646, + -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279, + -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393, + -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411, + -2009, -1608, -1206, -804, -402, 0 +}; +#endif /* defined(ARM_ALL_FAST_TABLES) */ + +#if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) +const q31_t sqrtTable_Q31[256] = { + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x5ffffffe, 0x7ffffffa, 0x5e88c596, 0x7a39e2ff, + 0x5d2238d8, 0x74dfa6b1, 0x5bcb268e, 0x6fe69562, + 0x5a827998, 0x6b454dba, 0x5947373a, 0x66f39063, + 0x58187bf8, 0x62ea1669, 0x56f578e6, 0x5f226e5f, + 0x55dd714e, 0x5b96df40, 0x54cfb8b0, 0x58424fca, + 0x53cbb102, 0x552031c7, 0x52d0c92c, 0x522c7048, + 0x51de7bb2, 0x4f6360a9, 0x50f44d86, 0x4cc1b594, + 0x5011cd0a, 0x4a4473f6, 0x4f36911a, 0x47e8e962, + 0x4e62384e, 0x45aca3d0, 0x4d946838, 0x438d6a6a, + 0x4cccccca, 0x41893746, 0x4c0b17c0, 0x3f9e31fa, + 0x4b4f0022, 0x3dcaaac3, 0x4a9841ce, 0x3c0d1660, + 0x49e69d14, 0x3a640a53, 0x4939d654, 0x38ce39a6, + 0x4891b5b2, 0x374a720b, 0x47ee06ba, 0x35d7993c, + 0x474e9830, 0x3474aacc, 0x46b33bc0, 0x3320b60c, + 0x461bc5d2, 0x31dadc4f, 0x45880d4c, 0x30a24f3c, + 0x44f7eb6a, 0x2f764f6a, 0x446b3b92, 0x2e562b0b, + 0x43e1db32, 0x2d413cc9, 0x435ba98a, 0x2c36eab0, + 0x42d887a4, 0x2b36a542, 0x42585824, 0x2a3fe69b, + 0x41daff34, 0x295231b0, 0x41606266, 0x286d118d, + 0x40e868a4, 0x279018c3, 0x4072fa10, 0x26bae0c8, + 0x3ffffffe, 0x25ed0979, 0x3f8f64d2, 0x25263894, + 0x3f2113f8, 0x24661958, 0x3eb4f9d8, 0x23ac5c10, + 0x3e4b03ba, 0x22f8b5bb, 0x3de31fc4, 0x224adfba, + 0x3d7d3cee, 0x21a2977a, 0x3d194ae8, 0x20ff9e30, + 0x3cb73a24, 0x2061b89a, 0x3c56fbba, 0x1fc8aebb, + 0x3bf88166, 0x1f344ba6, 0x3b9bbd80, 0x1ea45d4b, + 0x3b40a2f0, 0x1e18b448, 0x3ae7252e, 0x1d9123b9, + 0x3a8f382c, 0x1d0d8113, 0x3a38d062, 0x1c8da3fb, + 0x39e3e2b6, 0x1c116628, 0x39906482, 0x1b98a33c, + 0x393e4b8a, 0x1b2338aa, 0x38ed8df6, 0x1ab1059a, + 0x389e2250, 0x1a41eace, 0x384fff7a, 0x19d5ca89, + 0x38031cb2, 0x196c887b, 0x37b77184, 0x190609a9, + 0x376cf5ce, 0x18a2345b, 0x3723a1ba, 0x1840f00a, + 0x36db6db6, 0x17e22550, 0x36945276, 0x1785bdd2, + 0x364e48f4, 0x172ba43e, 0x36094a64, 0x16d3c42c, + 0x35c55036, 0x167e0a1f, 0x35825414, 0x162a6372, + 0x35404fde, 0x15d8be4d, 0x34ff3dac, 0x1589099d, + 0x34bf17c4, 0x153b3508, 0x347fd89e, 0x14ef30e4, + 0x34417ade, 0x14a4ee2a, 0x3403f956, 0x145c5e76, + 0x33c74f02, 0x141573fa, 0x338b7706, 0x13d02171, + 0x33506cae, 0x138c5a28, 0x33162b6a, 0x134a11e6, + 0x32dcaed0, 0x13093cee, 0x32a3f294, 0x12c9cffa, + 0x326bf292, 0x128bc034, 0x3234aac0, 0x124f0330, + 0x31fe1736, 0x12138ee5, 0x31c83428, 0x11d959b0, + 0x3192fde6, 0x11a05a45, 0x315e70de, 0x116887b5, + 0x312a8994, 0x1131d960, 0x30f744aa, 0x10fc46fd, + 0x30c49ed6, 0x10c7c88b, 0x309294ea, 0x10945653, + 0x306123cc, 0x1061e8e6, 0x30304878, 0x10307919 +}; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) +const q15_t sqrtTable_Q15[256] = { + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, + 0x5fff, 0x7fff, 0x5e88, 0x7a39, + 0x5d22, 0x74df, 0x5bcb, 0x6fe6, + 0x5a82, 0x6b45, 0x5947, 0x66f3, + 0x5818, 0x62ea, 0x56f5, 0x5f22, + 0x55dd, 0x5b96, 0x54cf, 0x5842, + 0x53cb, 0x5520, 0x52d0, 0x522c, + 0x51de, 0x4f63, 0x50f4, 0x4cc1, + 0x5011, 0x4a44, 0x4f36, 0x47e8, + 0x4e62, 0x45ac, 0x4d94, 0x438d, + 0x4ccc, 0x4189, 0x4c0b, 0x3f9e, + 0x4b4f, 0x3dca, 0x4a98, 0x3c0d, + 0x49e6, 0x3a64, 0x4939, 0x38ce, + 0x4891, 0x374a, 0x47ee, 0x35d7, + 0x474e, 0x3474, 0x46b3, 0x3320, + 0x461b, 0x31da, 0x4588, 0x30a2, + 0x44f7, 0x2f76, 0x446b, 0x2e56, + 0x43e1, 0x2d41, 0x435b, 0x2c36, + 0x42d8, 0x2b36, 0x4258, 0x2a3f, + 0x41da, 0x2952, 0x4160, 0x286d, + 0x40e8, 0x2790, 0x4072, 0x26ba, + 0x3fff, 0x25ed, 0x3f8f, 0x2526, + 0x3f21, 0x2466, 0x3eb4, 0x23ac, + 0x3e4b, 0x22f8, 0x3de3, 0x224a, + 0x3d7d, 0x21a2, 0x3d19, 0x20ff, + 0x3cb7, 0x2061, 0x3c56, 0x1fc8, + 0x3bf8, 0x1f34, 0x3b9b, 0x1ea4, + 0x3b40, 0x1e18, 0x3ae7, 0x1d91, + 0x3a8f, 0x1d0d, 0x3a38, 0x1c8d, + 0x39e3, 0x1c11, 0x3990, 0x1b98, + 0x393e, 0x1b23, 0x38ed, 0x1ab1, + 0x389e, 0x1a41, 0x384f, 0x19d5, + 0x3803, 0x196c, 0x37b7, 0x1906, + 0x376c, 0x18a2, 0x3723, 0x1840, + 0x36db, 0x17e2, 0x3694, 0x1785, + 0x364e, 0x172b, 0x3609, 0x16d3, + 0x35c5, 0x167e, 0x3582, 0x162a, + 0x3540, 0x15d8, 0x34ff, 0x1589, + 0x34bf, 0x153b, 0x347f, 0x14ef, + 0x3441, 0x14a4, 0x3403, 0x145c, + 0x33c7, 0x1415, 0x338b, 0x13d0, + 0x3350, 0x138c, 0x3316, 0x134a, + 0x32dc, 0x1309, 0x32a3, 0x12c9, + 0x326b, 0x128b, 0x3234, 0x124f, + 0x31fe, 0x1213, 0x31c8, 0x11d9, + 0x3192, 0x11a0, 0x315e, 0x1168, + 0x312a, 0x1131, 0x30f7, 0x10fc, + 0x30c4, 0x10c7, 0x3092, 0x1094, + 0x3061, 0x1061, 0x3030, 0x1030 +}; + #endif +#endif /* defined(ARM_MATH_MVEI) */ + + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) +const float32_t exp_tab[8] = { + (1.f), + (0.0416598916054f), + (0.500000596046f), + (0.0014122662833f), + (1.00000011921f), + (0.00833693705499f), + (0.166665703058f), + (0.000195780929062f), +}; + +const float32_t __logf_lut_f32[8] = { + -2.295614848256274, /*p0*/ + -2.470711633419806, /*p4*/ + -5.686926051100417, /*p2*/ + -0.165253547131978, /*p6*/ + +5.175912446351073, /*p1*/ + +0.844006986174912, /*p5*/ + +4.584458825456749, /*p3*/ + +0.014127821926000 /*p7*/ +}; + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) + +/* haming weight LUT for bytes */ +#define B2(n) n, n + 1, n + 1, n + 2 +#define B4(n) B2(n) , B2(n + 1), B2(n + 1), B2(n + 2) +#define B6(n) B4(n) , B4(n + 1), B4(n + 1), B4(n + 2) + +// Lookup table that store the reverse of each table +const unsigned char hwLUT[256] = { B6(0), B6(1), B6(1), B6(2) }; + +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ diff --git a/Firmware/cmsis/dsp/Source/CommonTables/arm_const_structs.c b/Firmware/cmsis/dsp/Source/CommonTables/arm_const_structs.c new file mode 100644 index 0000000..fcec3bc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CommonTables/arm_const_structs.c @@ -0,0 +1,663 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.c + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_const_structs.h" + +/* +ALLOW TABLE is true when config table is enabled and the Tramsform folder is included +for compilation. +*/ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +/* Floating-point structs */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = { + 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = { + 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = { + 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = { + 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = { + 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = { + 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = { + 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = { + 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096)) +const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = { + 4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH +}; +#endif + +/* Floating-point structs */ +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT F32 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = { + 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = { + 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = { + 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = { + 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = { + 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = { + 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = { + 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { + 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) +const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { + 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ + +#if !defined(ARM_MATH_MVEI) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = { + 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = { + 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = { + 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = { + 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = { + 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = { + 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = { + 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = { + 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = { + 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = { + 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = { + 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = { + 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = { + 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = { + 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = { + 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = { + 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = { + 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = { + 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + +/* Structure for real-value inputs */ +/* Double precision strucs */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = { + { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH }, + 32U, + (float64_t *)twiddleCoefF64_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = { + { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH }, + 64U, + (float64_t *)twiddleCoefF64_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = { + { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH }, + 128U, + (float64_t *)twiddleCoefF64_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = { + { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH }, + 256U, + (float64_t *)twiddleCoefF64_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = { + { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH }, + 512U, + (float64_t *)twiddleCoefF64_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = { + { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH }, + 1024U, + (float64_t *)twiddleCoefF64_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = { + { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH }, + 2048U, + (float64_t *)twiddleCoefF64_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)) +const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = { + { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH }, + 4096U, + (float64_t *)twiddleCoefF64_rfft_4096 +}; +#endif + +/* Floating-point structs */ + +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = { + { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH }, + 32U, + (float32_t *)twiddleCoef_rfft_32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = { + { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH }, + 64U, + (float32_t *)twiddleCoef_rfft_64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = { + { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH }, + 128U, + (float32_t *)twiddleCoef_rfft_128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = { + { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH }, + 256U, + (float32_t *)twiddleCoef_rfft_256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = { + { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH }, + 512U, + (float32_t *)twiddleCoef_rfft_512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = { + { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH }, + 1024U, + (float32_t *)twiddleCoef_rfft_1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = { + { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH }, + 2048U, + (float32_t *)twiddleCoef_rfft_2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)) +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = { + { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH }, + 4096U, + (float32_t *)twiddleCoef_rfft_4096 +}; +#endif + +#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */ + +/* Fixed-point structs */ +/* q31_t */ + +#if !defined(ARM_MATH_MVEI) + +/* + +Those structures cannot be used to initialize the MVE version of the FFT Q31 instances. +So they are not compiled when MVE is defined. + +For the MVE version, the new arm_cfft_init_f32 must be used. + + +*/ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = { + 32U, + 0, + 1, + 256U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = { + 64U, + 0, + 1, + 128U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = { + 128U, + 0, + 1, + 64U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = { + 256U, + 0, + 1, + 32U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = { + 512U, + 0, + 1, + 16U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = { + 1024U, + 0, + 1, + 8U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = { + 2048U, + 0, + 1, + 4U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = { + 4096U, + 0, + 1, + 2U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = { + 8192U, + 0, + 1, + 1U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len4096 +}; +#endif + + + +/* q15_t */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = { + 32U, + 0, + 1, + 256U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len16 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = { + 64U, + 0, + 1, + 128U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len32 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = { + 128U, + 0, + 1, + 64U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len64 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = { + 256U, + 0, + 1, + 32U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len128 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = { + 512U, + 0, + 1, + 16U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len256 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = { + 1024U, + 0, + 1, + 8U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len512 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = { + 2048U, + 0, + 1, + 4U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len1024 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = { + 4096U, + 0, + 1, + 2U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len2048 +}; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) +const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = { + 8192U, + 0, + 1, + 1U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len4096 +}; +#endif + +#endif /* !defined(ARM_MATH_MVEI) */ + + +#endif diff --git a/Firmware/cmsis/dsp/Source/CommonTables/arm_mve_tables.c b/Firmware/cmsis/dsp/Source/CommonTables/arm_mve_tables.c new file mode 100644 index 0000000..0cd002a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/CommonTables/arm_mve_tables.c @@ -0,0 +1,6542 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * $Date: 08. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]={ +0,0,}; + +float32_t rearranged_twiddle_stride1_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.92387953251128673848f, +0.38268343236508978178f,0.70710678118654757274f,0.70710678118654757274f, +0.38268343236508983729f,0.92387953251128673848f,}; + +float32_t rearranged_twiddle_stride2_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.70710678118654757274f, +0.70710678118654757274f,0.00000000000000006123f,1.00000000000000000000f, +-0.70710678118654746172f,0.70710678118654757274f,}; + +float32_t rearranged_twiddle_stride3_16_f32[8]={ +1.00000000000000000000f,0.00000000000000000000f,0.38268343236508983729f, +0.92387953251128673848f,-0.70710678118654746172f,0.70710678118654757274f, +-0.92387953251128684951f,-0.38268343236508967076f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]={ +0,32,0,}; + +float32_t rearranged_twiddle_stride1_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.99518472667219692873f, +0.09801714032956060363f,0.98078528040323043058f,0.19509032201612824808f, +0.95694033573220882438f,0.29028467725446233105f,0.92387953251128673848f, +0.38268343236508978178f,0.88192126434835504956f,0.47139673682599764204f, +0.83146961230254523567f,0.55557023301960217765f,0.77301045336273699338f, +0.63439328416364548779f,0.70710678118654757274f,0.70710678118654757274f, +0.63439328416364548779f,0.77301045336273688235f,0.55557023301960228867f, +0.83146961230254523567f,0.47139673682599780857f,0.88192126434835493853f, +0.38268343236508983729f,0.92387953251128673848f,0.29028467725446233105f, +0.95694033573220893540f,0.19509032201612833135f,0.98078528040323043058f, +0.09801714032956077016f,0.99518472667219681771f,1.00000000000000000000f, +0.00000000000000000000f,0.92387953251128673848f,0.38268343236508978178f, +0.70710678118654757274f,0.70710678118654757274f,0.38268343236508983729f, +0.92387953251128673848f,}; + +float32_t rearranged_twiddle_stride2_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.98078528040323043058f, +0.19509032201612824808f,0.92387953251128673848f,0.38268343236508978178f, +0.83146961230254523567f,0.55557023301960217765f,0.70710678118654757274f, +0.70710678118654757274f,0.55557023301960228867f,0.83146961230254523567f, +0.38268343236508983729f,0.92387953251128673848f,0.19509032201612833135f, +0.98078528040323043058f,0.00000000000000006123f,1.00000000000000000000f, +-0.19509032201612819257f,0.98078528040323043058f,-0.38268343236508972627f, +0.92387953251128673848f,-0.55557023301960195560f,0.83146961230254534669f, +-0.70710678118654746172f,0.70710678118654757274f,-0.83146961230254534669f, +0.55557023301960217765f,-0.92387953251128673848f,0.38268343236508989280f, +-0.98078528040323043058f,0.19509032201612860891f,1.00000000000000000000f, +0.00000000000000000000f,0.70710678118654757274f,0.70710678118654757274f, +0.00000000000000006123f,1.00000000000000000000f,-0.70710678118654746172f, +0.70710678118654757274f,}; + +float32_t rearranged_twiddle_stride3_64_f32[40]={ +1.00000000000000000000f,0.00000000000000000000f,0.95694033573220882438f, +0.29028467725446233105f,0.83146961230254523567f,0.55557023301960217765f, +0.63439328416364548779f,0.77301045336273688235f,0.38268343236508983729f, +0.92387953251128673848f,0.09801714032956077016f,0.99518472667219681771f, +-0.19509032201612819257f,0.98078528040323043058f,-0.47139673682599769755f, +0.88192126434835504956f,-0.70710678118654746172f,0.70710678118654757274f, +-0.88192126434835493853f,0.47139673682599780857f,-0.98078528040323043058f, +0.19509032201612860891f,-0.99518472667219692873f,-0.09801714032956058975f, +-0.92387953251128684951f,-0.38268343236508967076f,-0.77301045336273710440f, +-0.63439328416364526575f,-0.55557023301960217765f,-0.83146961230254523567f, +-0.29028467725446244208f,-0.95694033573220882438f,1.00000000000000000000f, +0.00000000000000000000f,0.38268343236508983729f,0.92387953251128673848f, +-0.70710678118654746172f,0.70710678118654757274f,-0.92387953251128684951f, +-0.38268343236508967076f,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]={ +0,128,160,0,}; + +float32_t rearranged_twiddle_stride1_256_f32[168]={ +1.00000000000000000000f,0.00000000000000000000f,0.99969881869620424997f, +0.02454122852291228812f,0.99879545620517240501f,0.04906767432741801493f, +0.99729045667869020697f,0.07356456359966742631f,0.99518472667219692873f, +0.09801714032956060363f,0.99247953459870996706f,0.12241067519921619566f, +0.98917650996478101444f,0.14673047445536174793f,0.98527764238894122162f, +0.17096188876030121717f,0.98078528040323043058f,0.19509032201612824808f, +0.97570213003852857003f,0.21910124015686979759f,0.97003125319454397424f, +0.24298017990326387094f,0.96377606579543984022f,0.26671275747489836538f, +0.95694033573220882438f,0.29028467725446233105f,0.94952818059303667475f, +0.31368174039889151761f,0.94154406518302080631f,0.33688985339222005111f, +0.93299279883473895669f,0.35989503653498811087f,0.92387953251128673848f, +0.38268343236508978178f,0.91420975570353069095f,0.40524131400498986100f, 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+0.92387953251128673848f,0.29028467725446233105f,0.95694033573220893540f, +0.19509032201612833135f,0.98078528040323043058f,0.09801714032956077016f, +0.99518472667219681771f,1.00000000000000000000f,0.00000000000000000000f, +0.92387953251128673848f,0.38268343236508978178f,0.70710678118654757274f, +0.70710678118654757274f,0.38268343236508983729f,0.92387953251128673848f,}; + +float32_t rearranged_twiddle_stride2_256_f32[168]={ +1.00000000000000000000f,0.00000000000000000000f,0.99879545620517240501f, +0.04906767432741801493f,0.99518472667219692873f,0.09801714032956060363f, +0.98917650996478101444f,0.14673047445536174793f,0.98078528040323043058f, +0.19509032201612824808f,0.97003125319454397424f,0.24298017990326387094f, +0.95694033573220882438f,0.29028467725446233105f,0.94154406518302080631f, +0.33688985339222005111f,0.92387953251128673848f,0.38268343236508978178f, +0.90398929312344333820f,0.42755509343028208491f,0.88192126434835504956f, 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+0.55557023301960228867f,0.83146961230254523567f,0.38268343236508983729f, +0.92387953251128673848f,0.19509032201612833135f,0.98078528040323043058f, +0.00000000000000006123f,1.00000000000000000000f,-0.19509032201612819257f, +0.98078528040323043058f,-0.38268343236508972627f,0.92387953251128673848f, +-0.55557023301960195560f,0.83146961230254534669f,-0.70710678118654746172f, +0.70710678118654757274f,-0.83146961230254534669f,0.55557023301960217765f, +-0.92387953251128673848f,0.38268343236508989280f,-0.98078528040323043058f, +0.19509032201612860891f,1.00000000000000000000f,0.00000000000000000000f, +0.70710678118654757274f,0.70710678118654757274f,0.00000000000000006123f, +1.00000000000000000000f,-0.70710678118654746172f,0.70710678118654757274f,}; + +float32_t rearranged_twiddle_stride3_256_f32[168]={ +1.00000000000000000000f,0.00000000000000000000f,0.99729045667869020697f, +0.07356456359966742631f,0.98917650996478101444f,0.14673047445536174793f, 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+-0.97570213003852845901f,-0.14673047445536230304f,-0.98917650996478090342f, +-0.07356456359966735692f,-0.99729045667869020697f,1.00000000000000000000f, +0.00000000000000000000f,0.95694033573220882438f,0.29028467725446233105f, +0.83146961230254523567f,0.55557023301960217765f,0.63439328416364548779f, +0.77301045336273688235f,0.38268343236508983729f,0.92387953251128673848f, +0.09801714032956077016f,0.99518472667219681771f,-0.19509032201612819257f, +0.98078528040323043058f,-0.47139673682599769755f,0.88192126434835504956f, +-0.70710678118654746172f,0.70710678118654757274f,-0.88192126434835493853f, +0.47139673682599780857f,-0.98078528040323043058f,0.19509032201612860891f, +-0.99518472667219692873f,-0.09801714032956058975f,-0.92387953251128684951f, +-0.38268343236508967076f,-0.77301045336273710440f,-0.63439328416364526575f, +-0.55557023301960217765f,-0.83146961230254523567f,-0.29028467725446244208f, +-0.95694033573220882438f,1.00000000000000000000f,0.00000000000000000000f, 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+0.19509032201612860891f,-0.99518472667219692873f,-0.09801714032956058975f, +-0.92387953251128684951f,-0.38268343236508967076f,-0.77301045336273710440f, +-0.63439328416364526575f,-0.55557023301960217765f,-0.83146961230254523567f, +-0.29028467725446244208f,-0.95694033573220882438f,1.00000000000000000000f, +0.00000000000000000000f,0.38268343236508983729f,0.92387953251128673848f, +-0.70710678118654746172f,0.70710678118654757274f,-0.92387953251128684951f, +-0.38268343236508967076f,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]={ +0,0,}; + +q31_t rearranged_twiddle_stride1_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, +0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, +0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_16_q31[8]={ +0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, +0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]={ +0,32,0,}; + +q31_t rearranged_twiddle_stride1_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, +0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, +0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, +0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, +0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, +0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, +0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, +0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, +0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, +0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, +0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_64_q31[40]={ +0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94, +0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0, +0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0, +0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, +0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, +0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]={ +0,128,160,0,}; + +q31_t rearranged_twiddle_stride1_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684,0x7FA736B4, +0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC,0xED37EF91, +0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE, +0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8, +0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345, +0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590, +0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4, +0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B, +0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0, +0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376, +0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4, +0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0, +0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32, +0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3, +0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E, +0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E, +0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B, +0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872, +0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40, +0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590, +0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94, +0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3, +0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF, +0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC, +0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2, +0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6, +0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C, +0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2, +0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C, +0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D, +0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412, +0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C, +0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971, +0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2, +0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F, +0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C, +0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666, +0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C, +0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC, +0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412, +0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2, +0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D, +0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C, +0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4, +0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666, +0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF, +0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_256_q31[168]={ +0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2, +0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC, +0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A, +0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F, +0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928, +0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971, +0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4, +0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB, +0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510, +0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C, +0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC, +0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5, +0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16, +0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D, +0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54, +0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926, +0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E, +0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC, +0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4, +0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971, +0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A, +0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D, +0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF, +0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]={ +0,512,640,672,0,}; + +q31_t rearranged_twiddle_stride1_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFF6216,0xFF36F078,0x7FFD885A,0xFE6DE2E0,0x7FFA72D1, +0xFDA4D929,0x7FF62182,0xFCDBD541,0x7FF09478,0xFC12D91A,0x7FE9CBC0,0xFB49E6A3, +0x7FE1C76B,0xFA80FFCB,0x7FD8878E,0xF9B82684,0x7FCE0C3E,0xF8EF5CBB,0x7FC25596, +0xF826A462,0x7FB563B3,0xF75DFF66,0x7FA736B4,0xF6956FB7,0x7F97CEBD,0xF5CCF743, +0x7F872BF3,0xF50497FB,0x7F754E80,0xF43C53CB,0x7F62368F,0xF3742CA2,0x7F4DE451, +0xF2AC246E,0x7F3857F6,0xF1E43D1C,0x7F2191B4,0xF11C789A,0x7F0991C4,0xF054D8D5, +0x7EF05860,0xEF8D5FB8,0x7ED5E5C6,0xEEC60F31,0x7EBA3A39,0xEDFEE92B,0x7E9D55FC, +0xED37EF91,0x7E7F3957,0xEC71244F,0x7E5FE493,0xEBAA894F,0x7E3F57FF,0xEAE4207A, +0x7E1D93EA,0xEA1DEBBB,0x7DFA98A8,0xE957ECFB,0x7DD6668F,0xE8922622,0x7DB0FDF8, +0xE7CC9917,0x7D8A5F40,0xE70747C4,0x7D628AC6,0xE642340D,0x7D3980EC,0xE57D5FDA, +0x7D0F4218,0xE4B8CD11,0x7CE3CEB2,0xE3F47D96,0x7CB72724,0xE330734D,0x7C894BDE, +0xE26CB01B,0x7C5A3D50,0xE1A935E2,0x7C29FBEE,0xE0E60685,0x7BF88830,0xE02323E5, +0x7BC5E290,0xDF608FE4,0x7B920B89,0xDE9E4C60,0x7B5D039E,0xDDDC5B3B,0x7B26CB4F, +0xDD1ABE51,0x7AEF6323,0xDC597781,0x7AB6CBA4,0xDB9888A8,0x7A7D055B,0xDAD7F3A2, +0x7A4210D8,0xDA17BA4A,0x7A05EEAD,0xD957DE7A,0x79C89F6E,0xD898620C,0x798A23B1, +0xD7D946D8,0x794A7C12,0xD71A8EB5,0x7909A92D,0xD65C3B7B,0x78C7ABA2,0xD59E4EFF, +0x78848414,0xD4E0CB15,0x78403329,0xD423B191,0x77FAB989,0xD3670446,0x77B417DF, +0xD2AAC504,0x776C4EDB,0xD1EEF59E,0x77235F2D,0xD13397E2,0x76D94989,0xD078AD9E, +0x768E0EA6,0xCFBE389F,0x7641AF3D,0xCF043AB3,0x75F42C0B,0xCE4AB5A2,0x75A585CF, +0xCD91AB39,0x7555BD4C,0xCCD91D3D,0x7504D345,0xCC210D79,0x74B2C884,0xCB697DB0, +0x745F9DD1,0xCAB26FA9,0x740B53FB,0xC9FBE527,0x73B5EBD1,0xC945DFEC,0x735F6626, +0xC89061BA,0x7307C3D0,0xC7DB6C50,0x72AF05A7,0xC727016D,0x72552C85,0xC67322CE, +0x71FA3949,0xC5BFD22E,0x719E2CD2,0xC50D1149,0x71410805,0xC45AE1D7,0x70E2CBC6, +0xC3A94590,0x708378FF,0xC2F83E2A,0x7023109A,0xC247CD5A,0x6FC19385,0xC197F4D4, +0x6F5F02B2,0xC0E8B648,0x6EFB5F12,0xC03A1368,0x6E96A99D,0xBF8C0DE3,0x6E30E34A, +0xBEDEA765,0x6DCA0D14,0xBE31E19B,0x6D6227FA,0xBD85BE30,0x6CF934FC,0xBCDA3ECB, +0x6C8F351C,0xBC2F6513,0x6C242960,0xBB8532B0,0x6BB812D1,0xBADBA943,0x6B4AF279, +0xBA32CA71,0x6ADCC964,0xB98A97D8,0x6A6D98A4,0xB8E31319,0x69FD614A,0xB83C3DD1, +0x698C246C,0xB796199B,0x6919E320,0xB6F0A812,0x68A69E81,0xB64BEACD,0x683257AB, +0xB5A7E362,0x67BD0FBD,0xB5049368,0x6746C7D8,0xB461FC70,0x66CF8120,0xB3C0200C, +0x66573CBB,0xB31EFFCC,0x65DDFBD3,0xB27E9D3C,0x6563BF92,0xB1DEF9E9,0x64E88926, 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+0x812A1A3A,0x1072A048,0x810FA7A0,0x0FAB272B,0x80F66E3C,0x0EE38766,0x80DE6E4C, +0x0E1BC2E4,0x80C7A80A,0x0D53DB92,0x80B21BAF,0x0C8BD35E,0x809DC971,0x0BC3AC35, +0x808AB180,0x0AFB6805,0x8078D40D,0x0A3308BD,0x80683143,0x096A9049,0x8058C94C, +0x08A2009A,0x804A9C4D,0x07D95B9E,0x803DAA6A,0x0710A345,0x8031F3C2,0x0647D97C, +0x80277872,0x057F0035,0x801E3895,0x04B6195D,0x80163440,0x03ED26E6,0x800F6B88, +0x03242ABF,0x8009DE7E,0x025B26D7,0x80058D2F,0x01921D20,0x800277A6,0x00C90F88, +0x80009DEA,0x7FFFFFFF,0x00000000,0x7FF62182,0xFCDBD541,0x7FD8878E,0xF9B82684, +0x7FA736B4,0xF6956FB7,0x7F62368F,0xF3742CA2,0x7F0991C4,0xF054D8D5,0x7E9D55FC, +0xED37EF91,0x7E1D93EA,0xEA1DEBBB,0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96, +0x7C29FBEE,0xE0E60685,0x7B5D039E,0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1, +0xD7D946D8,0x78848414,0xD4E0CB15,0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3, +0x7504D345,0xCC210D79,0x73B5EBD1,0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6, +0xC3A94590,0x6F5F02B2,0xC0E8B648,0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0, +0x6A6D98A4,0xB8E31319,0x68A69E81,0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926, +0xB140175B,0x62F201AC,0xAECC336C,0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E, +0x5CB420E0,0xA7BD22AC,0x5A82799A,0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2, +0xA1288376,0x539B2AF0,0x9F13C7D0,0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA, +0x4C3FDFF4,0x99307EE0,0x49B41533,0x9759617F,0x471CECE7,0x9592675C,0x447ACD50, +0x93DBD6A0,0x41CE1E65,0x9235F2EC,0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A, +0x398CDD32,0x8DAAD37B,0x36BA2014,0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D, +0x89BE50C3,0x2E110A62,0x8893B125,0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F, +0x25280C5E,0x8582FAA5,0x2223A4C5,0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A, +0x831C314E,0x18F8B83C,0x8275A0C0,0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04, +0x0FAB272B,0x80F66E3C,0x0C8BD35E,0x809DC971,0x096A9049,0x8058C94C,0x0647D97C, +0x80277872,0x03242ABF,0x8009DE7E,0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2, +0x7D8A5F40,0xE70747C4,0x7A7D055B,0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6, +0xC3A94590,0x6A6D98A4,0xB8E31319,0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666, +0x5133CC94,0x9D0DFE54,0x471CECE7,0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D, +0x89BE50C3,0x25280C5E,0x8582FAA5,0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971, +0x7FFFFFFF,0x00000000,0x7641AF3D,0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D, +0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFD885A,0xFE6DE2E0,0x7FF62182,0xFCDBD541,0x7FE9CBC0, +0xFB49E6A3,0x7FD8878E,0xF9B82684,0x7FC25596,0xF826A462,0x7FA736B4,0xF6956FB7, +0x7F872BF3,0xF50497FB,0x7F62368F,0xF3742CA2,0x7F3857F6,0xF1E43D1C,0x7F0991C4, +0xF054D8D5,0x7ED5E5C6,0xEEC60F31,0x7E9D55FC,0xED37EF91,0x7E5FE493,0xEBAA894F, +0x7E1D93EA,0xEA1DEBBB,0x7DD6668F,0xE8922622,0x7D8A5F40,0xE70747C4,0x7D3980EC, +0xE57D5FDA,0x7CE3CEB2,0xE3F47D96,0x7C894BDE,0xE26CB01B,0x7C29FBEE,0xE0E60685, +0x7BC5E290,0xDF608FE4,0x7B5D039E,0xDDDC5B3B,0x7AEF6323,0xDC597781,0x7A7D055B, +0xDAD7F3A2,0x7A05EEAD,0xD957DE7A,0x798A23B1,0xD7D946D8,0x7909A92D,0xD65C3B7B, +0x78848414,0xD4E0CB15,0x77FAB989,0xD3670446,0x776C4EDB,0xD1EEF59E,0x76D94989, +0xD078AD9E,0x7641AF3D,0xCF043AB3,0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79, +0x745F9DD1,0xCAB26FA9,0x73B5EBD1,0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85, +0xC67322CE,0x719E2CD2,0xC50D1149,0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A, +0x6F5F02B2,0xC0E8B648,0x6E96A99D,0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC, +0xBCDA3ECB,0x6C242960,0xBB8532B0,0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319, +0x698C246C,0xB796199B,0x68A69E81,0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120, +0xB3C0200C,0x65DDFBD3,0xB27E9D3C,0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3, +0x62F201AC,0xAECC336C,0x61F1003F,0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D, +0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E,0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC, +0x5B9D1154,0xA69B9B68,0x5A82799A,0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54, +0xA34BDF20,0x571DEEFA,0xA2386284,0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73, +0x539B2AF0,0x9F13C7D0,0x5269126E,0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D, +0x9C10CD70,0x4EBFE8A5,0x9B1776DA,0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0, +0x4AFB6C98,0x9842F043,0x49B41533,0x9759617F,0x4869E665,0x9673DB94,0x471CECE7, +0x9592675C,0x45CD358F,0x94B50D87,0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04, +0x41CE1E65,0x9235F2EC,0x4073F21D,0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6, +0x8FDCEF66,0x3C56BA70,0x8F1D343A,0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B, +0x382493B0,0x8CF83C30,0x36BA2014,0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287, +0x8AFB2CBB,0x326E54C7,0x8A5A7A31,0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677, +0x2E110A62,0x8893B125,0x2C98FBBA,0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485, +0x86F656D3,0x2826B928,0x8675DC4F,0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5, +0x23A6887F,0x85109CDD,0x2223A4C5,0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B, +0x83D60412,0x1D934FE5,0x8376B422,0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14, +0x18F8B83C,0x8275A0C0,0x176DD9DE,0x82299971,0x15E21445,0x81E26C16,0x145576B1, +0x81A01B6D,0x12C8106F,0x8162AA04,0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C, +0x0E1BC2E4,0x80C7A80A,0x0C8BD35E,0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049, +0x8058C94C,0x07D95B9E,0x803DAA6A,0x0647D97C,0x80277872,0x04B6195D,0x80163440, +0x03242ABF,0x8009DE7E,0x01921D20,0x800277A6,0x00000000,0x80000000,0xFE6DE2E0, +0x800277A6,0xFCDBD541,0x8009DE7E,0xFB49E6A3,0x80163440,0xF9B82684,0x80277872, +0xF826A462,0x803DAA6A,0xF6956FB7,0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2, +0x809DC971,0xF1E43D1C,0x80C7A80A,0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A, +0xED37EF91,0x8162AA04,0xEBAA894F,0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622, +0x82299971,0xE70747C4,0x8275A0C0,0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E, +0xE26CB01B,0x8376B422,0xE0E60685,0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B, +0x84A2FC62,0xDC597781,0x85109CDD,0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153, +0xD7D946D8,0x8675DC4F,0xD65C3B7B,0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446, +0x88054677,0xD1EEF59E,0x8893B125,0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3, +0xCD91AB39,0x8A5A7A31,0xCC210D79,0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC, +0x8C4A142F,0xC7DB6C50,0x8CF83C30,0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E, +0xC3A94590,0x8F1D343A,0xC247CD5A,0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3, +0x91695663,0xBE31E19B,0x9235F2EC,0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0, +0xBA32CA71,0x94B50D87,0xB8E31319,0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD, +0x9759617F,0xB5049368,0x9842F043,0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D, +0xB140175B,0x9B1776DA,0xB0049AB3,0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92, +0x9E0EFFC1,0xAC64D510,0x9F13C7D0,0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376, +0xA8E21106,0xA2386284,0xA7BD22AC,0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666, +0xA57D8666,0xA462EEAC,0xA69B9B68,0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106, +0xA1288376,0xAA0A5B2E,0xA01C4C73,0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1, +0xAD96ED92,0x9D0DFE54,0xAECC336C,0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B, +0x9A22042D,0xB27E9D3C,0x99307EE0,0xB3C0200C,0x9842F043,0xB5049368,0x9759617F, +0xB64BEACD,0x9673DB94,0xB796199B,0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71, +0x93DBD6A0,0xBB8532B0,0x9306CB04,0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663, +0xBF8C0DE3,0x90A0FD4E,0xC0E8B648,0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590, +0x8E61D32E,0xC50D1149,0x8DAAD37B,0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F, +0xC945DFEC,0x8BA0622F,0xCAB26FA9,0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39, +0x89BE50C3,0xCF043AB3,0x8926B677,0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677, +0xD3670446,0x877B7BEC,0xD4E0CB15,0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8, +0x85FA1153,0xD957DE7A,0x8582FAA5,0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62, +0xDDDC5B3B,0x843A1D70,0xDF608FE4,0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B, +0x831C314E,0xE3F47D96,0x82C67F14,0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971, +0xE8922622,0x81E26C16,0xEA1DEBBB,0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91, +0x812A1A3A,0xEEC60F31,0x80F66E3C,0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971, +0xF3742CA2,0x8078D40D,0xF50497FB,0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462, +0x80277872,0xF9B82684,0x80163440,0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6, +0xFE6DE2E0,0x7FFFFFFF,0x00000000,0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2, +0x7E9D55FC,0xED37EF91,0x7D8A5F40,0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B, +0xDAD7F3A2,0x78848414,0xD4E0CB15,0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC, +0x70E2CBC6,0xC3A94590,0x6DCA0D14,0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120, +0xB3C0200C,0x62F201AC,0xAECC336C,0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666, +0x55F5A4D2,0xA1288376,0x5133CC94,0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7, +0x9592675C,0x41CE1E65,0x9235F2EC,0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F, +0x30FBC54D,0x89BE50C3,0x2B1F34EB,0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B, +0x83D60412,0x18F8B83C,0x8275A0C0,0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971, +0x0647D97C,0x80277872,0x00000000,0x80000000,0xF9B82684,0x80277872,0xF3742CA2, +0x809DC971,0xED37EF91,0x8162AA04,0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412, +0xDAD7F3A2,0x8582FAA5,0xD4E0CB15,0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC, +0x8C4A142F,0xC3A94590,0x8F1D343A,0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C, +0xB3C0200C,0x99307EE0,0xAECC336C,0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666, +0xA57D8666,0xA1288376,0xAA0A5B2E,0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C, +0x9592675C,0xB8E31319,0x9235F2EC,0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F, +0xC945DFEC,0x89BE50C3,0xCF043AB3,0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2, +0x83D60412,0xE0E60685,0x8275A0C0,0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971, +0xF3742CA2,0x80277872,0xF9B82684,0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4, +0x7641AF3D,0xCF043AB3,0x6A6D98A4,0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7, +0x9592675C,0x30FBC54D,0x89BE50C3,0x18F8B83C,0x8275A0C0,0x00000000,0x80000000, +0xE70747C4,0x8275A0C0,0xCF043AB3,0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666, +0xA57D8666,0x9592675C,0xB8E31319,0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4, +0x7FFFFFFF,0x00000000,0x5A82799A,0xA57D8666,0x00000000,0x80000000,0xA57D8666, +0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_1024_q31[680]={ +0x7FFFFFFF,0x00000000,0x7FFA72D1,0xFDA4D929,0x7FE9CBC0,0xFB49E6A3,0x7FCE0C3E, +0xF8EF5CBB,0x7FA736B4,0xF6956FB7,0x7F754E80,0xF43C53CB,0x7F3857F6,0xF1E43D1C, +0x7EF05860,0xEF8D5FB8,0x7E9D55FC,0xED37EF91,0x7E3F57FF,0xEAE4207A,0x7DD6668F, +0xE8922622,0x7D628AC6,0xE642340D,0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2, +0x7BC5E290,0xDF608FE4,0x7B26CB4F,0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E, +0xD898620C,0x7909A92D,0xD65C3B7B,0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E, +0x768E0EA6,0xCFBE389F,0x75A585CF,0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1, +0xC945DFEC,0x72AF05A7,0xC727016D,0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A, +0x6F5F02B2,0xC0E8B648,0x6E30E34A,0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1, +0xBADBA943,0x6A6D98A4,0xB8E31319,0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368, +0x66573CBB,0xB31EFFCC,0x64E88926,0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F, +0xAD96ED92,0x60686CCF,0xABCCFD83,0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA, +0x5B9D1154,0xA69B9B68,0x59F3DE12,0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9, +0xA1AFFEA3,0x54CA0A4B,0xA01C4C73,0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54, +0x4F5E08E3,0x9B93A641,0x4D8162C4,0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533, +0x9759617F,0x47C3C22F,0x96029EB6,0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4, +0x41CE1E65,0x9235F2EC,0x3FC5EC98,0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29, +0x8EBEF7FB,0x398CDD32,0x8DAAD37B,0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F, +0x3326E2C3,0x8AAA42B4,0x30FBC54D,0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA, +0x88054677,0x2A61B101,0x8738545E,0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28, +0x23A6887F,0x85109CDD,0x2161B3A0,0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3, +0x8348D8DC,0x1A82A026,0x82C67F14,0x183366E9,0x824F0208,0x15E21445,0x81E26C16, +0x138EDBB1,0x8180C6A9,0x1139F0CF,0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E, +0x809DC971,0x0A3308BD,0x80683143,0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895, +0x03242ABF,0x8009DE7E,0x00C90F88,0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A, +0x800F6B88,0xF9B82684,0x80277872,0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D, +0xF2AC246E,0x80B21BAF,0xF054D8D5,0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F, +0x81A01B6D,0xE957ECFB,0x82056758,0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8, +0xE26CB01B,0x8376B422,0xE02323E5,0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8, +0x8549345C,0xD957DE7A,0x85FA1153,0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC, +0xD2AAC504,0x884BE821,0xD078AD9E,0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79, +0x8AFB2CBB,0xC9FBE527,0x8BF4AC05,0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7, +0xC3A94590,0x8F1D343A,0xC197F4D4,0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30, +0x929DD806,0xBB8532B0,0x93DBD6A0,0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94, +0xB5A7E362,0x97CDA855,0xB3C0200C,0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3, +0x9C10CD70,0xAE312B92,0x9D8E0597,0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D, +0xA8E21106,0xA2386284,0xA72BF174,0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534, +0xA72BF174,0xA2386284,0xA8E21106,0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510, +0x9D8E0597,0xAE312B92,0x9C10CD70,0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0, +0xB3C0200C,0x97CDA855,0xB5A7E362,0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8, +0x93DBD6A0,0xBB8532B0,0x929DD806,0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B, +0xC197F4D4,0x8F1D343A,0xC3A94590,0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50, +0x8BF4AC05,0xC9FBE527,0x8AFB2CBB,0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677, +0xD078AD9E,0x884BE821,0xD2AAC504,0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5, +0x85FA1153,0xD957DE7A,0x8549345C,0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0, +0xE02323E5,0x8376B422,0xE26CB01B,0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4, +0x82056758,0xE957ECFB,0x81A01B6D,0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C, +0xF054D8D5,0x80B21BAF,0xF2AC246E,0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66, +0x80277872,0xF9B82684,0x800F6B88,0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA, +0x00C90F88,0x8009DE7E,0x03242ABF,0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E, +0x80683143,0x0A3308BD,0x809DC971,0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A, +0x1139F0CF,0x8180C6A9,0x138EDBB1,0x81E26C16,0x15E21445,0x824F0208,0x183366E9, +0x82C67F14,0x1A82A026,0x8348D8DC,0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477, +0x2161B3A0,0x85109CDD,0x23A6887F,0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928, +0x8738545E,0x2A61B101,0x88054677,0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3, +0x30FBC54D,0x8AAA42B4,0x3326E2C3,0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46, +0x8DAAD37B,0x398CDD32,0x8EBEF7FB,0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE, +0x3FC5EC98,0x9235F2EC,0x41CE1E65,0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F, +0x96029EB6,0x47C3C22F,0x9759617F,0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D, +0x4D8162C4,0x9B93A641,0x4F5E08E3,0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518, +0xA01C4C73,0x54CA0A4B,0xA1AFFEA3,0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31, +0x59F3DE12,0xA69B9B68,0x5B9D1154,0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A, +0xABCCFD83,0x60686CCF,0xAD96ED92,0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B, +0x64E88926,0xB31EFFCC,0x66573CBB,0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320, +0xB8E31319,0x6A6D98A4,0xBADBA943,0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765, +0x6E30E34A,0xC0E8B648,0x6F5F02B2,0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2, +0xC727016D,0x72AF05A7,0xC945DFEC,0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39, +0x75A585CF,0xCFBE389F,0x768E0EA6,0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329, +0xD65C3B7B,0x7909A92D,0xD898620C,0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51, +0x7B26CB4F,0xDF608FE4,0x7BC5E290,0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2, +0xE642340D,0x7D628AC6,0xE8922622,0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91, +0x7E9D55FC,0xEF8D5FB8,0x7EF05860,0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80, +0xF6956FB7,0x7FA736B4,0xF8EF5CBB,0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929, +0x7FFA72D1,0x7FFFFFFF,0x00000000,0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91, +0x7CE3CEB2,0xE3F47D96,0x7A7D055B,0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1, +0xC945DFEC,0x6F5F02B2,0xC0E8B648,0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B, +0x5ED77C8A,0xAA0A5B2E,0x5842DD54,0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533, +0x9759617F,0x41CE1E65,0x9235F2EC,0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3, +0x2826B928,0x8675DC4F,0x1F19F97B,0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E, +0x809DC971,0x03242ABF,0x8009DE7E,0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C, +0xE70747C4,0x8275A0C0,0xDDDC5B3B,0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79, +0x8AFB2CBB,0xC3A94590,0x8F1D343A,0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0, +0xAC64D510,0x9F13C7D0,0xA57D8666,0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0, +0xB3C0200C,0x93DBD6A0,0xBB8532B0,0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79, +0x877B7BEC,0xD4E0CB15,0x84A2FC62,0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C, +0xF054D8D5,0x80277872,0xF9B82684,0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E, +0x81E26C16,0x15E21445,0x83D60412,0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3, +0x30FBC54D,0x8DAAD37B,0x398CDD32,0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533, +0x9D0DFE54,0x5133CC94,0xA34BDF20,0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B, +0x64E88926,0xB8E31319,0x6A6D98A4,0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1, +0xD1EEF59E,0x776C4EDB,0xDAD7F3A2,0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91, +0x7E9D55FC,0xF6956FB7,0x7FA736B4,0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2, +0x6A6D98A4,0xB8E31319,0x5133CC94,0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E, +0x809DC971,0xE70747C4,0x8275A0C0,0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666, +0x8F1D343A,0xC3A94590,0x8275A0C0,0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3, +0x30FBC54D,0x9D0DFE54,0x5133CC94,0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B, +0x7FFFFFFF,0x00000000,0x30FBC54D,0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3, +0x30FBC54D,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192) + +uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]={ +0,2048,2560,2688,2720,0,}; + +q31_t rearranged_twiddle_stride1_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFF621,0xFFCDBC0B,0x7FFFD886,0xFF9B781D,0x7FFFA72C, +0xFF69343F,0x7FFF6216,0xFF36F078,0x7FFF0943,0xFF04ACD0,0x7FFE9CB2,0xFED2694F, +0x7FFE1C65,0xFEA025FD,0x7FFD885A,0xFE6DE2E0,0x7FFCE093,0xFE3BA002,0x7FFC250F, +0xFE095D69,0x7FFB55CE,0xFDD71B1E,0x7FFA72D1,0xFDA4D929,0x7FF97C18,0xFD729790, +0x7FF871A2,0xFD40565C,0x7FF75370,0xFD0E1594,0x7FF62182,0xFCDBD541,0x7FF4DBD9, +0xFCA9956A,0x7FF38274,0xFC775616,0x7FF21553,0xFC45174E,0x7FF09478,0xFC12D91A, +0x7FEEFFE1,0xFBE09B80,0x7FED5791,0xFBAE5E89,0x7FEB9B85,0xFB7C223D,0x7FE9CBC0, +0xFB49E6A3,0x7FE7E841,0xFB17ABC2,0x7FE5F108,0xFAE571A4,0x7FE3E616,0xFAB3384F, +0x7FE1C76B,0xFA80FFCB,0x7FDF9508,0xFA4EC821,0x7FDD4EEC,0xFA1C9157,0x7FDAF519, +0xF9EA5B75,0x7FD8878E,0xF9B82684,0x7FD6064C,0xF985F28A,0x7FD37153,0xF953BF91, +0x7FD0C8A3,0xF9218D9E,0x7FCE0C3E,0xF8EF5CBB,0x7FCB3C23,0xF8BD2CEF,0x7FC85854, +0xF88AFE42,0x7FC560CF,0xF858D0BB,0x7FC25596,0xF826A462,0x7FBF36AA,0xF7F4793E, +0x7FBC040A,0xF7C24F59,0x7FB8BDB8,0xF79026B9,0x7FB563B3,0xF75DFF66,0x7FB1F5FC, +0xF72BD967,0x7FAE7495,0xF6F9B4C6,0x7FAADF7C,0xF6C79188,0x7FA736B4,0xF6956FB7, +0x7FA37A3C,0xF6634F59,0x7F9FAA15,0xF6313077,0x7F9BC640,0xF5FF1318,0x7F97CEBD, +0xF5CCF743,0x7F93C38C,0xF59ADD02,0x7F8FA4B0,0xF568C45B,0x7F8B7227,0xF536AD56, +0x7F872BF3,0xF50497FB,0x7F82D214,0xF4D28451,0x7F7E648C,0xF4A07261,0x7F79E35A, +0xF46E6231,0x7F754E80,0xF43C53CB,0x7F70A5FE,0xF40A4735,0x7F6BE9D4,0xF3D83C77, +0x7F671A05,0xF3A63398,0x7F62368F,0xF3742CA2,0x7F5D3F75,0xF342279B,0x7F5834B7, +0xF310248A,0x7F531655,0xF2DE2379,0x7F4DE451,0xF2AC246E,0x7F489EAA,0xF27A2771, +0x7F434563,0xF2482C8A,0x7F3DD87C,0xF21633C0,0x7F3857F6,0xF1E43D1C,0x7F32C3D1, +0xF1B248A5,0x7F2D1C0E,0xF1805662,0x7F2760AF,0xF14E665C,0x7F2191B4,0xF11C789A, +0x7F1BAF1E,0xF0EA8D24,0x7F15B8EE,0xF0B8A401,0x7F0FAF25,0xF086BD39,0x7F0991C4, +0xF054D8D5,0x7F0360CB,0xF022F6DA,0x7EFD1C3C,0xEFF11753,0x7EF6C418,0xEFBF3A45, +0x7EF05860,0xEF8D5FB8,0x7EE9D914,0xEF5B87B5,0x7EE34636,0xEF29B243,0x7EDC9FC6, +0xEEF7DF6A,0x7ED5E5C6,0xEEC60F31,0x7ECF1837,0xEE9441A0,0x7EC8371A,0xEE6276BF, +0x7EC14270,0xEE30AE96,0x7EBA3A39,0xEDFEE92B,0x7EB31E78,0xEDCD2687,0x7EABEF2C, +0xED9B66B2,0x7EA4AC58,0xED69A9B3,0x7E9D55FC,0xED37EF91,0x7E95EC1A,0xED063856, +0x7E8E6EB2,0xECD48407,0x7E86DDC6,0xECA2D2AD,0x7E7F3957,0xEC71244F,0x7E778166, +0xEC3F78F6,0x7E6FB5F4,0xEC0DD0A8,0x7E67D703,0xEBDC2B6E,0x7E5FE493,0xEBAA894F, +0x7E57DEA7,0xEB78EA52,0x7E4FC53E,0xEB474E81,0x7E47985B,0xEB15B5E1,0x7E3F57FF, +0xEAE4207A,0x7E37042A,0xEAB28E56,0x7E2E9CDF,0xEA80FF7A,0x7E26221F,0xEA4F73EE, +0x7E1D93EA,0xEA1DEBBB,0x7E14F242,0xE9EC66E8,0x7E0C3D29,0xE9BAE57D,0x7E0374A0, +0xE9896781,0x7DFA98A8,0xE957ECFB,0x7DF1A942,0xE92675F4,0x7DE8A670,0xE8F50273, +0x7DDF9034,0xE8C39280,0x7DD6668F,0xE8922622,0x7DCD2981,0xE860BD61,0x7DC3D90D, +0xE82F5844,0x7DBA7534,0xE7FDF6D4,0x7DB0FDF8,0xE7CC9917,0x7DA77359,0xE79B3F16, +0x7D9DD55A,0xE769E8D8,0x7D9423FC,0xE7389665,0x7D8A5F40,0xE70747C4,0x7D808728, +0xE6D5FCFC,0x7D769BB5,0xE6A4B616,0x7D6C9CE9,0xE6737319,0x7D628AC6,0xE642340D, +0x7D58654D,0xE610F8F9,0x7D4E2C7F,0xE5DFC1E5,0x7D43E05E,0xE5AE8ED8,0x7D3980EC, +0xE57D5FDA,0x7D2F0E2B,0xE54C34F3,0x7D24881B,0xE51B0E2A,0x7D19EEBF,0xE4E9EB87, +0x7D0F4218,0xE4B8CD11,0x7D048228,0xE487B2D0,0x7CF9AEF0,0xE4569CCB,0x7CEEC873, +0xE4258B0A,0x7CE3CEB2,0xE3F47D96,0x7CD8C1AE,0xE3C37474,0x7CCDA169,0xE3926FAD, +0x7CC26DE5,0xE3616F48,0x7CB72724,0xE330734D,0x7CABCD28,0xE2FF7BC3,0x7CA05FF1, +0xE2CE88B3,0x7C94DF83,0xE29D9A23,0x7C894BDE,0xE26CB01B,0x7C7DA505,0xE23BCAA2, +0x7C71EAF9,0xE20AE9C1,0x7C661DBC,0xE1DA0D7E,0x7C5A3D50,0xE1A935E2,0x7C4E49B7, +0xE17862F3,0x7C4242F2,0xE14794BA,0x7C362904,0xE116CB3D,0x7C29FBEE,0xE0E60685, +0x7C1DBBB3,0xE0B54698,0x7C116853,0xE0848B7F,0x7C0501D2,0xE053D541,0x7BF88830, +0xE02323E5,0x7BEBFB70,0xDFF27773,0x7BDF5B94,0xDFC1CFF3,0x7BD2A89E,0xDF912D6B, +0x7BC5E290,0xDF608FE4,0x7BB9096B,0xDF2FF764,0x7BAC1D31,0xDEFF63F4,0x7B9F1DE6, +0xDECED59B,0x7B920B89,0xDE9E4C60,0x7B84E61F,0xDE6DC84B,0x7B77ADA8,0xDE3D4964, +0x7B6A6227,0xDE0CCFB1,0x7B5D039E,0xDDDC5B3B,0x7B4F920E,0xDDABEC08,0x7B420D7A, +0xDD7B8220,0x7B3475E5,0xDD4B1D8C,0x7B26CB4F,0xDD1ABE51,0x7B190DBC,0xDCEA6478, +0x7B0B3D2C,0xDCBA1008,0x7AFD59A4,0xDC89C109,0x7AEF6323,0xDC597781,0x7AE159AE, +0xDC293379,0x7AD33D45,0xDBF8F4F8,0x7AC50DEC,0xDBC8BC06,0x7AB6CBA4,0xDB9888A8, +0x7AA8766F,0xDB685AE9,0x7A9A0E50,0xDB3832CD,0x7A8B9348,0xDB08105E,0x7A7D055B, +0xDAD7F3A2,0x7A6E648A,0xDAA7DCA1,0x7A5FB0D8,0xDA77CB63,0x7A50EA47,0xDA47BFEE, +0x7A4210D8,0xDA17BA4A,0x7A332490,0xD9E7BA7F,0x7A24256F,0xD9B7C094,0x7A151378, +0xD987CC90,0x7A05EEAD,0xD957DE7A,0x79F6B711,0xD927F65B,0x79E76CA7,0xD8F81439, +0x79D80F6F,0xD8C8381D,0x79C89F6E,0xD898620C,0x79B91CA4,0xD868920F,0x79A98715, +0xD838C82D,0x7999DEC4,0xD809046E,0x798A23B1,0xD7D946D8,0x797A55E0,0xD7A98F73, +0x796A7554,0xD779DE47,0x795A820E,0xD74A335B,0x794A7C12,0xD71A8EB5,0x793A6361, +0xD6EAF05F,0x792A37FE,0xD6BB585E,0x7919F9EC,0xD68BC6BA,0x7909A92D,0xD65C3B7B, +0x78F945C3,0xD62CB6A8,0x78E8CFB2,0xD5FD3848,0x78D846FB,0xD5CDC062,0x78C7ABA2, +0xD59E4EFF,0x78B6FDA8,0xD56EE424,0x78A63D11,0xD53F7FDA,0x789569DF,0xD5102228, +0x78848414,0xD4E0CB15,0x78738BB3,0xD4B17AA8,0x786280BF,0xD48230E9,0x7851633B, +0xD452EDDF,0x78403329,0xD423B191,0x782EF08B,0xD3F47C06,0x781D9B65,0xD3C54D47, +0x780C33B8,0xD396255A,0x77FAB989,0xD3670446,0x77E92CD9,0xD337EA12,0x77D78DAA, +0xD308D6C7,0x77C5DC01,0xD2D9CA6A,0x77B417DF,0xD2AAC504,0x77A24148,0xD27BC69C, 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+0x7D8A5F40,0xE70747C4,0x7CE3CEB2,0xE3F47D96,0x7C29FBEE,0xE0E60685,0x7B5D039E, +0xDDDC5B3B,0x7A7D055B,0xDAD7F3A2,0x798A23B1,0xD7D946D8,0x78848414,0xD4E0CB15, +0x776C4EDB,0xD1EEF59E,0x7641AF3D,0xCF043AB3,0x7504D345,0xCC210D79,0x73B5EBD1, +0xC945DFEC,0x72552C85,0xC67322CE,0x70E2CBC6,0xC3A94590,0x6F5F02B2,0xC0E8B648, +0x6DCA0D14,0xBE31E19B,0x6C242960,0xBB8532B0,0x6A6D98A4,0xB8E31319,0x68A69E81, +0xB64BEACD,0x66CF8120,0xB3C0200C,0x64E88926,0xB140175B,0x62F201AC,0xAECC336C, +0x60EC3830,0xAC64D510,0x5ED77C8A,0xAA0A5B2E,0x5CB420E0,0xA7BD22AC,0x5A82799A, +0xA57D8666,0x5842DD54,0xA34BDF20,0x55F5A4D2,0xA1288376,0x539B2AF0,0x9F13C7D0, +0x5133CC94,0x9D0DFE54,0x4EBFE8A5,0x9B1776DA,0x4C3FDFF4,0x99307EE0,0x49B41533, +0x9759617F,0x471CECE7,0x9592675C,0x447ACD50,0x93DBD6A0,0x41CE1E65,0x9235F2EC, +0x3F1749B8,0x90A0FD4E,0x3C56BA70,0x8F1D343A,0x398CDD32,0x8DAAD37B,0x36BA2014, +0x8C4A142F,0x33DEF287,0x8AFB2CBB,0x30FBC54D,0x89BE50C3,0x2E110A62,0x8893B125, +0x2B1F34EB,0x877B7BEC,0x2826B928,0x8675DC4F,0x25280C5E,0x8582FAA5,0x2223A4C5, +0x84A2FC62,0x1F19F97B,0x83D60412,0x1C0B826A,0x831C314E,0x18F8B83C,0x8275A0C0, +0x15E21445,0x81E26C16,0x12C8106F,0x8162AA04,0x0FAB272B,0x80F66E3C,0x0C8BD35E, +0x809DC971,0x096A9049,0x8058C94C,0x0647D97C,0x80277872,0x03242ABF,0x8009DE7E, +0x7FFFFFFF,0x00000000,0x7F62368F,0xF3742CA2,0x7D8A5F40,0xE70747C4,0x7A7D055B, +0xDAD7F3A2,0x7641AF3D,0xCF043AB3,0x70E2CBC6,0xC3A94590,0x6A6D98A4,0xB8E31319, +0x62F201AC,0xAECC336C,0x5A82799A,0xA57D8666,0x5133CC94,0x9D0DFE54,0x471CECE7, +0x9592675C,0x3C56BA70,0x8F1D343A,0x30FBC54D,0x89BE50C3,0x25280C5E,0x8582FAA5, +0x18F8B83C,0x8275A0C0,0x0C8BD35E,0x809DC971,0x7FFFFFFF,0x00000000,0x7641AF3D, +0xCF043AB3,0x5A82799A,0xA57D8666,0x30FBC54D,0x89BE50C3,}; + +q31_t rearranged_twiddle_stride2_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFD886,0xFF9B781D,0x7FFF6216,0xFF36F078,0x7FFE9CB2, +0xFED2694F,0x7FFD885A,0xFE6DE2E0,0x7FFC250F,0xFE095D69,0x7FFA72D1,0xFDA4D929, +0x7FF871A2,0xFD40565C,0x7FF62182,0xFCDBD541,0x7FF38274,0xFC775616,0x7FF09478, +0xFC12D91A,0x7FED5791,0xFBAE5E89,0x7FE9CBC0,0xFB49E6A3,0x7FE5F108,0xFAE571A4, +0x7FE1C76B,0xFA80FFCB,0x7FDD4EEC,0xFA1C9157,0x7FD8878E,0xF9B82684,0x7FD37153, +0xF953BF91,0x7FCE0C3E,0xF8EF5CBB,0x7FC85854,0xF88AFE42,0x7FC25596,0xF826A462, +0x7FBC040A,0xF7C24F59,0x7FB563B3,0xF75DFF66,0x7FAE7495,0xF6F9B4C6,0x7FA736B4, +0xF6956FB7,0x7F9FAA15,0xF6313077,0x7F97CEBD,0xF5CCF743,0x7F8FA4B0,0xF568C45B, +0x7F872BF3,0xF50497FB,0x7F7E648C,0xF4A07261,0x7F754E80,0xF43C53CB,0x7F6BE9D4, +0xF3D83C77,0x7F62368F,0xF3742CA2,0x7F5834B7,0xF310248A,0x7F4DE451,0xF2AC246E, +0x7F434563,0xF2482C8A,0x7F3857F6,0xF1E43D1C,0x7F2D1C0E,0xF1805662,0x7F2191B4, +0xF11C789A,0x7F15B8EE,0xF0B8A401,0x7F0991C4,0xF054D8D5,0x7EFD1C3C,0xEFF11753, +0x7EF05860,0xEF8D5FB8,0x7EE34636,0xEF29B243,0x7ED5E5C6,0xEEC60F31,0x7EC8371A, +0xEE6276BF,0x7EBA3A39,0xEDFEE92B,0x7EABEF2C,0xED9B66B2,0x7E9D55FC,0xED37EF91, +0x7E8E6EB2,0xECD48407,0x7E7F3957,0xEC71244F,0x7E6FB5F4,0xEC0DD0A8,0x7E5FE493, +0xEBAA894F,0x7E4FC53E,0xEB474E81,0x7E3F57FF,0xEAE4207A,0x7E2E9CDF,0xEA80FF7A, +0x7E1D93EA,0xEA1DEBBB,0x7E0C3D29,0xE9BAE57D,0x7DFA98A8,0xE957ECFB,0x7DE8A670, +0xE8F50273,0x7DD6668F,0xE8922622,0x7DC3D90D,0xE82F5844,0x7DB0FDF8,0xE7CC9917, +0x7D9DD55A,0xE769E8D8,0x7D8A5F40,0xE70747C4,0x7D769BB5,0xE6A4B616,0x7D628AC6, +0xE642340D,0x7D4E2C7F,0xE5DFC1E5,0x7D3980EC,0xE57D5FDA,0x7D24881B,0xE51B0E2A, +0x7D0F4218,0xE4B8CD11,0x7CF9AEF0,0xE4569CCB,0x7CE3CEB2,0xE3F47D96,0x7CCDA169, +0xE3926FAD,0x7CB72724,0xE330734D,0x7CA05FF1,0xE2CE88B3,0x7C894BDE,0xE26CB01B, +0x7C71EAF9,0xE20AE9C1,0x7C5A3D50,0xE1A935E2,0x7C4242F2,0xE14794BA,0x7C29FBEE, +0xE0E60685,0x7C116853,0xE0848B7F,0x7BF88830,0xE02323E5,0x7BDF5B94,0xDFC1CFF3, +0x7BC5E290,0xDF608FE4,0x7BAC1D31,0xDEFF63F4,0x7B920B89,0xDE9E4C60,0x7B77ADA8, +0xDE3D4964,0x7B5D039E,0xDDDC5B3B,0x7B420D7A,0xDD7B8220,0x7B26CB4F,0xDD1ABE51, +0x7B0B3D2C,0xDCBA1008,0x7AEF6323,0xDC597781,0x7AD33D45,0xDBF8F4F8,0x7AB6CBA4, +0xDB9888A8,0x7A9A0E50,0xDB3832CD,0x7A7D055B,0xDAD7F3A2,0x7A5FB0D8,0xDA77CB63, +0x7A4210D8,0xDA17BA4A,0x7A24256F,0xD9B7C094,0x7A05EEAD,0xD957DE7A,0x79E76CA7, +0xD8F81439,0x79C89F6E,0xD898620C,0x79A98715,0xD838C82D,0x798A23B1,0xD7D946D8, +0x796A7554,0xD779DE47,0x794A7C12,0xD71A8EB5,0x792A37FE,0xD6BB585E,0x7909A92D, +0xD65C3B7B,0x78E8CFB2,0xD5FD3848,0x78C7ABA2,0xD59E4EFF,0x78A63D11,0xD53F7FDA, +0x78848414,0xD4E0CB15,0x786280BF,0xD48230E9,0x78403329,0xD423B191,0x781D9B65, +0xD3C54D47,0x77FAB989,0xD3670446,0x77D78DAA,0xD308D6C7,0x77B417DF,0xD2AAC504, +0x7790583E,0xD24CCF39,0x776C4EDB,0xD1EEF59E,0x7747FBCE,0xD191386E,0x77235F2D, +0xD13397E2,0x76FE790E,0xD0D61434,0x76D94989,0xD078AD9E,0x76B3D0B4,0xD01B6459, +0x768E0EA6,0xCFBE389F,0x76680376,0xCF612AAA,0x7641AF3D,0xCF043AB3,0x761B1211, +0xCEA768F2,0x75F42C0B,0xCE4AB5A2,0x75CCFD42,0xCDEE20FC,0x75A585CF,0xCD91AB39, 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+0x75A585CF,0xCD91AB39,0x7504D345,0xCC210D79,0x745F9DD1,0xCAB26FA9,0x73B5EBD1, +0xC945DFEC,0x7307C3D0,0xC7DB6C50,0x72552C85,0xC67322CE,0x719E2CD2,0xC50D1149, +0x70E2CBC6,0xC3A94590,0x7023109A,0xC247CD5A,0x6F5F02B2,0xC0E8B648,0x6E96A99D, +0xBF8C0DE3,0x6DCA0D14,0xBE31E19B,0x6CF934FC,0xBCDA3ECB,0x6C242960,0xBB8532B0, +0x6B4AF279,0xBA32CA71,0x6A6D98A4,0xB8E31319,0x698C246C,0xB796199B,0x68A69E81, +0xB64BEACD,0x67BD0FBD,0xB5049368,0x66CF8120,0xB3C0200C,0x65DDFBD3,0xB27E9D3C, +0x64E88926,0xB140175B,0x63EF3290,0xB0049AB3,0x62F201AC,0xAECC336C,0x61F1003F, +0xAD96ED92,0x60EC3830,0xAC64D510,0x5FE3B38D,0xAB35F5B5,0x5ED77C8A,0xAA0A5B2E, +0x5DC79D7C,0xA8E21106,0x5CB420E0,0xA7BD22AC,0x5B9D1154,0xA69B9B68,0x5A82799A, +0xA57D8666,0x59646498,0xA462EEAC,0x5842DD54,0xA34BDF20,0x571DEEFA,0xA2386284, +0x55F5A4D2,0xA1288376,0x54CA0A4B,0xA01C4C73,0x539B2AF0,0x9F13C7D0,0x5269126E, +0x9E0EFFC1,0x5133CC94,0x9D0DFE54,0x4FFB654D,0x9C10CD70,0x4EBFE8A5,0x9B1776DA, +0x4D8162C4,0x9A22042D,0x4C3FDFF4,0x99307EE0,0x4AFB6C98,0x9842F043,0x49B41533, +0x9759617F,0x4869E665,0x9673DB94,0x471CECE7,0x9592675C,0x45CD358F,0x94B50D87, +0x447ACD50,0x93DBD6A0,0x4325C135,0x9306CB04,0x41CE1E65,0x9235F2EC,0x4073F21D, +0x91695663,0x3F1749B8,0x90A0FD4E,0x3DB832A6,0x8FDCEF66,0x3C56BA70,0x8F1D343A, +0x3AF2EEB7,0x8E61D32E,0x398CDD32,0x8DAAD37B,0x382493B0,0x8CF83C30,0x36BA2014, +0x8C4A142F,0x354D9057,0x8BA0622F,0x33DEF287,0x8AFB2CBB,0x326E54C7,0x8A5A7A31, +0x30FBC54D,0x89BE50C3,0x2F875262,0x8926B677,0x2E110A62,0x8893B125,0x2C98FBBA, +0x88054677,0x2B1F34EB,0x877B7BEC,0x29A3C485,0x86F656D3,0x2826B928,0x8675DC4F, +0x26A82186,0x85FA1153,0x25280C5E,0x8582FAA5,0x23A6887F,0x85109CDD,0x2223A4C5, +0x84A2FC62,0x209F701C,0x843A1D70,0x1F19F97B,0x83D60412,0x1D934FE5,0x8376B422, +0x1C0B826A,0x831C314E,0x1A82A026,0x82C67F14,0x18F8B83C,0x8275A0C0,0x176DD9DE, +0x82299971,0x15E21445,0x81E26C16,0x145576B1,0x81A01B6D,0x12C8106F,0x8162AA04, +0x1139F0CF,0x812A1A3A,0x0FAB272B,0x80F66E3C,0x0E1BC2E4,0x80C7A80A,0x0C8BD35E, +0x809DC971,0x0AFB6805,0x8078D40D,0x096A9049,0x8058C94C,0x07D95B9E,0x803DAA6A, +0x0647D97C,0x80277872,0x04B6195D,0x80163440,0x03242ABF,0x8009DE7E,0x01921D20, +0x800277A6,0x00000000,0x80000000,0xFE6DE2E0,0x800277A6,0xFCDBD541,0x8009DE7E, +0xFB49E6A3,0x80163440,0xF9B82684,0x80277872,0xF826A462,0x803DAA6A,0xF6956FB7, +0x8058C94C,0xF50497FB,0x8078D40D,0xF3742CA2,0x809DC971,0xF1E43D1C,0x80C7A80A, +0xF054D8D5,0x80F66E3C,0xEEC60F31,0x812A1A3A,0xED37EF91,0x8162AA04,0xEBAA894F, +0x81A01B6D,0xEA1DEBBB,0x81E26C16,0xE8922622,0x82299971,0xE70747C4,0x8275A0C0, +0xE57D5FDA,0x82C67F14,0xE3F47D96,0x831C314E,0xE26CB01B,0x8376B422,0xE0E60685, +0x83D60412,0xDF608FE4,0x843A1D70,0xDDDC5B3B,0x84A2FC62,0xDC597781,0x85109CDD, +0xDAD7F3A2,0x8582FAA5,0xD957DE7A,0x85FA1153,0xD7D946D8,0x8675DC4F,0xD65C3B7B, +0x86F656D3,0xD4E0CB15,0x877B7BEC,0xD3670446,0x88054677,0xD1EEF59E,0x8893B125, +0xD078AD9E,0x8926B677,0xCF043AB3,0x89BE50C3,0xCD91AB39,0x8A5A7A31,0xCC210D79, +0x8AFB2CBB,0xCAB26FA9,0x8BA0622F,0xC945DFEC,0x8C4A142F,0xC7DB6C50,0x8CF83C30, +0xC67322CE,0x8DAAD37B,0xC50D1149,0x8E61D32E,0xC3A94590,0x8F1D343A,0xC247CD5A, +0x8FDCEF66,0xC0E8B648,0x90A0FD4E,0xBF8C0DE3,0x91695663,0xBE31E19B,0x9235F2EC, +0xBCDA3ECB,0x9306CB04,0xBB8532B0,0x93DBD6A0,0xBA32CA71,0x94B50D87,0xB8E31319, +0x9592675C,0xB796199B,0x9673DB94,0xB64BEACD,0x9759617F,0xB5049368,0x9842F043, +0xB3C0200C,0x99307EE0,0xB27E9D3C,0x9A22042D,0xB140175B,0x9B1776DA,0xB0049AB3, +0x9C10CD70,0xAECC336C,0x9D0DFE54,0xAD96ED92,0x9E0EFFC1,0xAC64D510,0x9F13C7D0, +0xAB35F5B5,0xA01C4C73,0xAA0A5B2E,0xA1288376,0xA8E21106,0xA2386284,0xA7BD22AC, +0xA34BDF20,0xA69B9B68,0xA462EEAC,0xA57D8666,0xA57D8666,0xA462EEAC,0xA69B9B68, +0xA34BDF20,0xA7BD22AC,0xA2386284,0xA8E21106,0xA1288376,0xAA0A5B2E,0xA01C4C73, +0xAB35F5B5,0x9F13C7D0,0xAC64D510,0x9E0EFFC1,0xAD96ED92,0x9D0DFE54,0xAECC336C, +0x9C10CD70,0xB0049AB3,0x9B1776DA,0xB140175B,0x9A22042D,0xB27E9D3C,0x99307EE0, +0xB3C0200C,0x9842F043,0xB5049368,0x9759617F,0xB64BEACD,0x9673DB94,0xB796199B, +0x9592675C,0xB8E31319,0x94B50D87,0xBA32CA71,0x93DBD6A0,0xBB8532B0,0x9306CB04, +0xBCDA3ECB,0x9235F2EC,0xBE31E19B,0x91695663,0xBF8C0DE3,0x90A0FD4E,0xC0E8B648, +0x8FDCEF66,0xC247CD5A,0x8F1D343A,0xC3A94590,0x8E61D32E,0xC50D1149,0x8DAAD37B, +0xC67322CE,0x8CF83C30,0xC7DB6C50,0x8C4A142F,0xC945DFEC,0x8BA0622F,0xCAB26FA9, +0x8AFB2CBB,0xCC210D79,0x8A5A7A31,0xCD91AB39,0x89BE50C3,0xCF043AB3,0x8926B677, +0xD078AD9E,0x8893B125,0xD1EEF59E,0x88054677,0xD3670446,0x877B7BEC,0xD4E0CB15, +0x86F656D3,0xD65C3B7B,0x8675DC4F,0xD7D946D8,0x85FA1153,0xD957DE7A,0x8582FAA5, +0xDAD7F3A2,0x85109CDD,0xDC597781,0x84A2FC62,0xDDDC5B3B,0x843A1D70,0xDF608FE4, +0x83D60412,0xE0E60685,0x8376B422,0xE26CB01B,0x831C314E,0xE3F47D96,0x82C67F14, +0xE57D5FDA,0x8275A0C0,0xE70747C4,0x82299971,0xE8922622,0x81E26C16,0xEA1DEBBB, +0x81A01B6D,0xEBAA894F,0x8162AA04,0xED37EF91,0x812A1A3A,0xEEC60F31,0x80F66E3C, +0xF054D8D5,0x80C7A80A,0xF1E43D1C,0x809DC971,0xF3742CA2,0x8078D40D,0xF50497FB, +0x8058C94C,0xF6956FB7,0x803DAA6A,0xF826A462,0x80277872,0xF9B82684,0x80163440, +0xFB49E6A3,0x8009DE7E,0xFCDBD541,0x800277A6,0xFE6DE2E0,0x7FFFFFFF,0x00000000, +0x7FD8878E,0xF9B82684,0x7F62368F,0xF3742CA2,0x7E9D55FC,0xED37EF91,0x7D8A5F40, +0xE70747C4,0x7C29FBEE,0xE0E60685,0x7A7D055B,0xDAD7F3A2,0x78848414,0xD4E0CB15, +0x7641AF3D,0xCF043AB3,0x73B5EBD1,0xC945DFEC,0x70E2CBC6,0xC3A94590,0x6DCA0D14, +0xBE31E19B,0x6A6D98A4,0xB8E31319,0x66CF8120,0xB3C0200C,0x62F201AC,0xAECC336C, +0x5ED77C8A,0xAA0A5B2E,0x5A82799A,0xA57D8666,0x55F5A4D2,0xA1288376,0x5133CC94, +0x9D0DFE54,0x4C3FDFF4,0x99307EE0,0x471CECE7,0x9592675C,0x41CE1E65,0x9235F2EC, +0x3C56BA70,0x8F1D343A,0x36BA2014,0x8C4A142F,0x30FBC54D,0x89BE50C3,0x2B1F34EB, +0x877B7BEC,0x25280C5E,0x8582FAA5,0x1F19F97B,0x83D60412,0x18F8B83C,0x8275A0C0, +0x12C8106F,0x8162AA04,0x0C8BD35E,0x809DC971,0x0647D97C,0x80277872,0x00000000, +0x80000000,0xF9B82684,0x80277872,0xF3742CA2,0x809DC971,0xED37EF91,0x8162AA04, +0xE70747C4,0x8275A0C0,0xE0E60685,0x83D60412,0xDAD7F3A2,0x8582FAA5,0xD4E0CB15, +0x877B7BEC,0xCF043AB3,0x89BE50C3,0xC945DFEC,0x8C4A142F,0xC3A94590,0x8F1D343A, +0xBE31E19B,0x9235F2EC,0xB8E31319,0x9592675C,0xB3C0200C,0x99307EE0,0xAECC336C, +0x9D0DFE54,0xAA0A5B2E,0xA1288376,0xA57D8666,0xA57D8666,0xA1288376,0xAA0A5B2E, +0x9D0DFE54,0xAECC336C,0x99307EE0,0xB3C0200C,0x9592675C,0xB8E31319,0x9235F2EC, +0xBE31E19B,0x8F1D343A,0xC3A94590,0x8C4A142F,0xC945DFEC,0x89BE50C3,0xCF043AB3, +0x877B7BEC,0xD4E0CB15,0x8582FAA5,0xDAD7F3A2,0x83D60412,0xE0E60685,0x8275A0C0, +0xE70747C4,0x8162AA04,0xED37EF91,0x809DC971,0xF3742CA2,0x80277872,0xF9B82684, +0x7FFFFFFF,0x00000000,0x7D8A5F40,0xE70747C4,0x7641AF3D,0xCF043AB3,0x6A6D98A4, +0xB8E31319,0x5A82799A,0xA57D8666,0x471CECE7,0x9592675C,0x30FBC54D,0x89BE50C3, +0x18F8B83C,0x8275A0C0,0x00000000,0x80000000,0xE70747C4,0x8275A0C0,0xCF043AB3, +0x89BE50C3,0xB8E31319,0x9592675C,0xA57D8666,0xA57D8666,0x9592675C,0xB8E31319, +0x89BE50C3,0xCF043AB3,0x8275A0C0,0xE70747C4,0x7FFFFFFF,0x00000000,0x5A82799A, +0xA57D8666,0x00000000,0x80000000,0xA57D8666,0xA57D8666,}; + +q31_t rearranged_twiddle_stride3_4096_q31[2728]={ +0x7FFFFFFF,0x00000000,0x7FFFA72C,0xFF69343F,0x7FFE9CB2,0xFED2694F,0x7FFCE093, +0xFE3BA002,0x7FFA72D1,0xFDA4D929,0x7FF75370,0xFD0E1594,0x7FF38274,0xFC775616, +0x7FEEFFE1,0xFBE09B80,0x7FE9CBC0,0xFB49E6A3,0x7FE3E616,0xFAB3384F,0x7FDD4EEC, +0xFA1C9157,0x7FD6064C,0xF985F28A,0x7FCE0C3E,0xF8EF5CBB,0x7FC560CF,0xF858D0BB, +0x7FBC040A,0xF7C24F59,0x7FB1F5FC,0xF72BD967,0x7FA736B4,0xF6956FB7,0x7F9BC640, +0xF5FF1318,0x7F8FA4B0,0xF568C45B,0x7F82D214,0xF4D28451,0x7F754E80,0xF43C53CB, +0x7F671A05,0xF3A63398,0x7F5834B7,0xF310248A,0x7F489EAA,0xF27A2771,0x7F3857F6, +0xF1E43D1C,0x7F2760AF,0xF14E665C,0x7F15B8EE,0xF0B8A401,0x7F0360CB,0xF022F6DA, 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+0x7CE3CEB2,0xE3F47D96,0x7C5A3D50,0xE1A935E2,0x7BC5E290,0xDF608FE4,0x7B26CB4F, +0xDD1ABE51,0x7A7D055B,0xDAD7F3A2,0x79C89F6E,0xD898620C,0x7909A92D,0xD65C3B7B, +0x78403329,0xD423B191,0x776C4EDB,0xD1EEF59E,0x768E0EA6,0xCFBE389F,0x75A585CF, +0xCD91AB39,0x74B2C884,0xCB697DB0,0x73B5EBD1,0xC945DFEC,0x72AF05A7,0xC727016D, +0x719E2CD2,0xC50D1149,0x708378FF,0xC2F83E2A,0x6F5F02B2,0xC0E8B648,0x6E30E34A, +0xBEDEA765,0x6CF934FC,0xBCDA3ECB,0x6BB812D1,0xBADBA943,0x6A6D98A4,0xB8E31319, +0x6919E320,0xB6F0A812,0x67BD0FBD,0xB5049368,0x66573CBB,0xB31EFFCC,0x64E88926, +0xB140175B,0x637114CC,0xAF6803A2,0x61F1003F,0xAD96ED92,0x60686CCF,0xABCCFD83, +0x5ED77C8A,0xAA0A5B2E,0x5D3E5237,0xA84F2DAA,0x5B9D1154,0xA69B9B68,0x59F3DE12, +0xA4EFCA31,0x5842DD54,0xA34BDF20,0x568A34A9,0xA1AFFEA3,0x54CA0A4B,0xA01C4C73, +0x53028518,0x9E90EB94,0x5133CC94,0x9D0DFE54,0x4F5E08E3,0x9B93A641,0x4D8162C4, +0x9A22042D,0x4B9E0390,0x98B93828,0x49B41533,0x9759617F,0x47C3C22F,0x96029EB6, +0x45CD358F,0x94B50D87,0x43D09AED,0x9370CAE4,0x41CE1E65,0x9235F2EC,0x3FC5EC98, +0x9104A0EE,0x3DB832A6,0x8FDCEF66,0x3BA51E29,0x8EBEF7FB,0x398CDD32,0x8DAAD37B, +0x376F9E46,0x8CA099DA,0x354D9057,0x8BA0622F,0x3326E2C3,0x8AAA42B4,0x30FBC54D, +0x89BE50C3,0x2ECC681E,0x88DCA0D3,0x2C98FBBA,0x88054677,0x2A61B101,0x8738545E, +0x2826B928,0x8675DC4F,0x25E845B6,0x85BDEF28,0x23A6887F,0x85109CDD,0x2161B3A0, +0x846DF477,0x1F19F97B,0x83D60412,0x1CCF8CB3,0x8348D8DC,0x1A82A026,0x82C67F14, +0x183366E9,0x824F0208,0x15E21445,0x81E26C16,0x138EDBB1,0x8180C6A9,0x1139F0CF, +0x812A1A3A,0x0EE38766,0x80DE6E4C,0x0C8BD35E,0x809DC971,0x0A3308BD,0x80683143, +0x07D95B9E,0x803DAA6A,0x057F0035,0x801E3895,0x03242ABF,0x8009DE7E,0x00C90F88, +0x80009DEA,0xFE6DE2E0,0x800277A6,0xFC12D91A,0x800F6B88,0xF9B82684,0x80277872, +0xF75DFF66,0x804A9C4D,0xF50497FB,0x8078D40D,0xF2AC246E,0x80B21BAF,0xF054D8D5, +0x80F66E3C,0xEDFEE92B,0x8145C5C7,0xEBAA894F,0x81A01B6D,0xE957ECFB,0x82056758, +0xE70747C4,0x8275A0C0,0xE4B8CD11,0x82F0BDE8,0xE26CB01B,0x8376B422,0xE02323E5, +0x840777D0,0xDDDC5B3B,0x84A2FC62,0xDB9888A8,0x8549345C,0xD957DE7A,0x85FA1153, +0xD71A8EB5,0x86B583EE,0xD4E0CB15,0x877B7BEC,0xD2AAC504,0x884BE821,0xD078AD9E, +0x8926B677,0xCE4AB5A2,0x8A0BD3F5,0xCC210D79,0x8AFB2CBB,0xC9FBE527,0x8BF4AC05, +0xC7DB6C50,0x8CF83C30,0xC5BFD22E,0x8E05C6B7,0xC3A94590,0x8F1D343A,0xC197F4D4, +0x903E6C7B,0xBF8C0DE3,0x91695663,0xBD85BE30,0x929DD806,0xBB8532B0,0x93DBD6A0, +0xB98A97D8,0x9523369C,0xB796199B,0x9673DB94,0xB5A7E362,0x97CDA855,0xB3C0200C, +0x99307EE0,0xB1DEF9E9,0x9A9C406E,0xB0049AB3,0x9C10CD70,0xAE312B92,0x9D8E0597, +0xAC64D510,0x9F13C7D0,0xAA9FBF1E,0xA0A1F24D,0xA8E21106,0xA2386284,0xA72BF174, +0xA3D6F534,0xA57D8666,0xA57D8666,0xA3D6F534,0xA72BF174,0xA2386284,0xA8E21106, +0xA0A1F24D,0xAA9FBF1E,0x9F13C7D0,0xAC64D510,0x9D8E0597,0xAE312B92,0x9C10CD70, +0xB0049AB3,0x9A9C406E,0xB1DEF9E9,0x99307EE0,0xB3C0200C,0x97CDA855,0xB5A7E362, +0x9673DB94,0xB796199B,0x9523369C,0xB98A97D8,0x93DBD6A0,0xBB8532B0,0x929DD806, +0xBD85BE30,0x91695663,0xBF8C0DE3,0x903E6C7B,0xC197F4D4,0x8F1D343A,0xC3A94590, +0x8E05C6B7,0xC5BFD22E,0x8CF83C30,0xC7DB6C50,0x8BF4AC05,0xC9FBE527,0x8AFB2CBB, +0xCC210D79,0x8A0BD3F5,0xCE4AB5A2,0x8926B677,0xD078AD9E,0x884BE821,0xD2AAC504, +0x877B7BEC,0xD4E0CB15,0x86B583EE,0xD71A8EB5,0x85FA1153,0xD957DE7A,0x8549345C, +0xDB9888A8,0x84A2FC62,0xDDDC5B3B,0x840777D0,0xE02323E5,0x8376B422,0xE26CB01B, +0x82F0BDE8,0xE4B8CD11,0x8275A0C0,0xE70747C4,0x82056758,0xE957ECFB,0x81A01B6D, +0xEBAA894F,0x8145C5C7,0xEDFEE92B,0x80F66E3C,0xF054D8D5,0x80B21BAF,0xF2AC246E, +0x8078D40D,0xF50497FB,0x804A9C4D,0xF75DFF66,0x80277872,0xF9B82684,0x800F6B88, +0xFC12D91A,0x800277A6,0xFE6DE2E0,0x80009DEA,0x00C90F88,0x8009DE7E,0x03242ABF, +0x801E3895,0x057F0035,0x803DAA6A,0x07D95B9E,0x80683143,0x0A3308BD,0x809DC971, +0x0C8BD35E,0x80DE6E4C,0x0EE38766,0x812A1A3A,0x1139F0CF,0x8180C6A9,0x138EDBB1, +0x81E26C16,0x15E21445,0x824F0208,0x183366E9,0x82C67F14,0x1A82A026,0x8348D8DC, +0x1CCF8CB3,0x83D60412,0x1F19F97B,0x846DF477,0x2161B3A0,0x85109CDD,0x23A6887F, +0x85BDEF28,0x25E845B6,0x8675DC4F,0x2826B928,0x8738545E,0x2A61B101,0x88054677, +0x2C98FBBA,0x88DCA0D3,0x2ECC681E,0x89BE50C3,0x30FBC54D,0x8AAA42B4,0x3326E2C3, +0x8BA0622F,0x354D9057,0x8CA099DA,0x376F9E46,0x8DAAD37B,0x398CDD32,0x8EBEF7FB, +0x3BA51E29,0x8FDCEF66,0x3DB832A6,0x9104A0EE,0x3FC5EC98,0x9235F2EC,0x41CE1E65, +0x9370CAE4,0x43D09AED,0x94B50D87,0x45CD358F,0x96029EB6,0x47C3C22F,0x9759617F, +0x49B41533,0x98B93828,0x4B9E0390,0x9A22042D,0x4D8162C4,0x9B93A641,0x4F5E08E3, +0x9D0DFE54,0x5133CC94,0x9E90EB94,0x53028518,0xA01C4C73,0x54CA0A4B,0xA1AFFEA3, +0x568A34A9,0xA34BDF20,0x5842DD54,0xA4EFCA31,0x59F3DE12,0xA69B9B68,0x5B9D1154, +0xA84F2DAA,0x5D3E5237,0xAA0A5B2E,0x5ED77C8A,0xABCCFD83,0x60686CCF,0xAD96ED92, +0x61F1003F,0xAF6803A2,0x637114CC,0xB140175B,0x64E88926,0xB31EFFCC,0x66573CBB, +0xB5049368,0x67BD0FBD,0xB6F0A812,0x6919E320,0xB8E31319,0x6A6D98A4,0xBADBA943, +0x6BB812D1,0xBCDA3ECB,0x6CF934FC,0xBEDEA765,0x6E30E34A,0xC0E8B648,0x6F5F02B2, +0xC2F83E2A,0x708378FF,0xC50D1149,0x719E2CD2,0xC727016D,0x72AF05A7,0xC945DFEC, +0x73B5EBD1,0xCB697DB0,0x74B2C884,0xCD91AB39,0x75A585CF,0xCFBE389F,0x768E0EA6, +0xD1EEF59E,0x776C4EDB,0xD423B191,0x78403329,0xD65C3B7B,0x7909A92D,0xD898620C, +0x79C89F6E,0xDAD7F3A2,0x7A7D055B,0xDD1ABE51,0x7B26CB4F,0xDF608FE4,0x7BC5E290, +0xE1A935E2,0x7C5A3D50,0xE3F47D96,0x7CE3CEB2,0xE642340D,0x7D628AC6,0xE8922622, +0x7DD6668F,0xEAE4207A,0x7E3F57FF,0xED37EF91,0x7E9D55FC,0xEF8D5FB8,0x7EF05860, +0xF1E43D1C,0x7F3857F6,0xF43C53CB,0x7F754E80,0xF6956FB7,0x7FA736B4,0xF8EF5CBB, +0x7FCE0C3E,0xFB49E6A3,0x7FE9CBC0,0xFDA4D929,0x7FFA72D1,0x7FFFFFFF,0x00000000, +0x7FA736B4,0xF6956FB7,0x7E9D55FC,0xED37EF91,0x7CE3CEB2,0xE3F47D96,0x7A7D055B, +0xDAD7F3A2,0x776C4EDB,0xD1EEF59E,0x73B5EBD1,0xC945DFEC,0x6F5F02B2,0xC0E8B648, +0x6A6D98A4,0xB8E31319,0x64E88926,0xB140175B,0x5ED77C8A,0xAA0A5B2E,0x5842DD54, +0xA34BDF20,0x5133CC94,0x9D0DFE54,0x49B41533,0x9759617F,0x41CE1E65,0x9235F2EC, +0x398CDD32,0x8DAAD37B,0x30FBC54D,0x89BE50C3,0x2826B928,0x8675DC4F,0x1F19F97B, +0x83D60412,0x15E21445,0x81E26C16,0x0C8BD35E,0x809DC971,0x03242ABF,0x8009DE7E, +0xF9B82684,0x80277872,0xF054D8D5,0x80F66E3C,0xE70747C4,0x8275A0C0,0xDDDC5B3B, +0x84A2FC62,0xD4E0CB15,0x877B7BEC,0xCC210D79,0x8AFB2CBB,0xC3A94590,0x8F1D343A, +0xBB8532B0,0x93DBD6A0,0xB3C0200C,0x99307EE0,0xAC64D510,0x9F13C7D0,0xA57D8666, +0xA57D8666,0x9F13C7D0,0xAC64D510,0x99307EE0,0xB3C0200C,0x93DBD6A0,0xBB8532B0, +0x8F1D343A,0xC3A94590,0x8AFB2CBB,0xCC210D79,0x877B7BEC,0xD4E0CB15,0x84A2FC62, +0xDDDC5B3B,0x8275A0C0,0xE70747C4,0x80F66E3C,0xF054D8D5,0x80277872,0xF9B82684, +0x8009DE7E,0x03242ABF,0x809DC971,0x0C8BD35E,0x81E26C16,0x15E21445,0x83D60412, +0x1F19F97B,0x8675DC4F,0x2826B928,0x89BE50C3,0x30FBC54D,0x8DAAD37B,0x398CDD32, +0x9235F2EC,0x41CE1E65,0x9759617F,0x49B41533,0x9D0DFE54,0x5133CC94,0xA34BDF20, +0x5842DD54,0xAA0A5B2E,0x5ED77C8A,0xB140175B,0x64E88926,0xB8E31319,0x6A6D98A4, +0xC0E8B648,0x6F5F02B2,0xC945DFEC,0x73B5EBD1,0xD1EEF59E,0x776C4EDB,0xDAD7F3A2, +0x7A7D055B,0xE3F47D96,0x7CE3CEB2,0xED37EF91,0x7E9D55FC,0xF6956FB7,0x7FA736B4, +0x7FFFFFFF,0x00000000,0x7A7D055B,0xDAD7F3A2,0x6A6D98A4,0xB8E31319,0x5133CC94, +0x9D0DFE54,0x30FBC54D,0x89BE50C3,0x0C8BD35E,0x809DC971,0xE70747C4,0x8275A0C0, +0xC3A94590,0x8F1D343A,0xA57D8666,0xA57D8666,0x8F1D343A,0xC3A94590,0x8275A0C0, +0xE70747C4,0x809DC971,0x0C8BD35E,0x89BE50C3,0x30FBC54D,0x9D0DFE54,0x5133CC94, +0xB8E31319,0x6A6D98A4,0xDAD7F3A2,0x7A7D055B,0x7FFFFFFF,0x00000000,0x30FBC54D, +0x89BE50C3,0xA57D8666,0xA57D8666,0x89BE50C3,0x30FBC54D,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEI) */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + +uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]={ +0,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]={ +0,0,}; + +q15_t rearranged_twiddle_stride1_16_q15[8]={ +0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_16_q15[8]={ +0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_16_q15[8]={ +0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + +uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]={ +0,32,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]={ +0,32,0,}; + +q15_t rearranged_twiddle_stride1_64_q15[40]={ +0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3, +0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592, +0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF, +0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_64_q15[40]={ +0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D, +0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE, +0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF, +0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_64_q15[40]={ +0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C, +0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707, +0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF, +0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + +uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]={ +0,128,160,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]={ +0,128,160,0,}; + +q15_t rearranged_twiddle_stride1_256_q15[168]={ +0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9,0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A, +0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E,0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6, +0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A,0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642, +0xCF04,0x7505,0xCC21,0x73B6,0xC946,0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9, +0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E,0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9, +0xB140,0x62F2,0xAECC,0x60EC,0xAC65,0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E, +0x5843,0xA34C,0x55F6,0xA129,0x539B,0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40, +0x9930,0x49B4,0x9759,0x471D,0x9592,0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1, +0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA,0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11, +0x8894,0x2B1F,0x877B,0x2827,0x8676,0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6, +0x1C0C,0x831C,0x18F9,0x8276,0x15E2,0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C, +0x809E,0x096B,0x8059,0x0648,0x8027,0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374, +0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642,0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2, +0xAECC,0x5A82,0xA57E,0x5134,0x9D0E,0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE, +0x2528,0x8583,0x18F9,0x8276,0x0C8C,0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82, +0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_256_q15[168]={ +0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62,0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A, +0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1,0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9, +0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0,0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82, +0xA57E,0x55F6,0xA129,0x5134,0x9D0E,0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236, +0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC,0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A, +0x83D6,0x18F9,0x8276,0x12C8,0x8163,0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000, +0xF9B8,0x8027,0xF374,0x809E,0xED38,0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8, +0x8583,0xD4E1,0x877B,0xCF04,0x89BE,0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236, +0xB8E3,0x9592,0xB3C0,0x9930,0xAECC,0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129, +0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0,0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9, +0x8C4A,0xC946,0x89BE,0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276, +0xE707,0x8163,0xED38,0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707, +0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9, +0x8276,0x0000,0x8000,0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E, +0x9592,0xB8E3,0x89BE,0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000, +0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_256_q15[168]={ +0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C, +0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A, +0x5843,0xA34C,0x5134,0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC, +0x89BE,0x2827,0x8676,0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A, +0xF9B8,0x8027,0xF055,0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21, +0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E, +0x9F14,0xAC65,0x9930,0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B, +0xD4E1,0x84A3,0xDDDC,0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324, +0x809E,0x0C8C,0x81E2,0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB, +0x398D,0x9236,0x41CE,0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7, +0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8, +0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8, +0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9, +0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC, +0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E, +0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + +uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]={ +0,512,640,672,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]={ +0,512,640,672,0,}; + +q15_t rearranged_twiddle_stride1_1024_q15[680]={ +0x7FFF,0x0000,0x7FFF,0xFF37,0x7FFE,0xFE6E,0x7FFA,0xFDA5,0x7FF6,0xFCDC,0x7FF1, +0xFC13,0x7FEA,0xFB4A,0x7FE2,0xFA81,0x7FD9,0xF9B8,0x7FCE,0xF8EF,0x7FC2,0xF827, +0x7FB5,0xF75E,0x7FA7,0xF695,0x7F98,0xF5CD,0x7F87,0xF505,0x7F75,0xF43C,0x7F62, +0xF374,0x7F4E,0xF2AC,0x7F38,0xF1E4,0x7F22,0xF11C,0x7F0A,0xF055,0x7EF0,0xEF8D, +0x7ED6,0xEEC6,0x7EBA,0xEDFF,0x7E9D,0xED38,0x7E7F,0xEC71,0x7E60,0xEBAB,0x7E3F, +0xEAE4,0x7E1E,0xEA1E,0x7DFB,0xE958,0x7DD6,0xE892,0x7DB1,0xE7CD,0x7D8A,0xE707, +0x7D63,0xE642,0x7D3A,0xE57D,0x7D0F,0xE4B9,0x7CE4,0xE3F4,0x7CB7,0xE330,0x7C89, +0xE26D,0x7C5A,0xE1A9,0x7C2A,0xE0E6,0x7BF9,0xE023,0x7BC6,0xDF61,0x7B92,0xDE9E, +0x7B5D,0xDDDC,0x7B27,0xDD1B,0x7AEF,0xDC59,0x7AB7,0xDB99,0x7A7D,0xDAD8,0x7A42, +0xDA18,0x7A06,0xD958,0x79C9,0xD898,0x798A,0xD7D9,0x794A,0xD71B,0x790A,0xD65C, +0x78C8,0xD59E,0x7885,0xD4E1,0x7840,0xD424,0x77FB,0xD367,0x77B4,0xD2AB,0x776C, +0xD1EF,0x7723,0xD134,0x76D9,0xD079,0x768E,0xCFBE,0x7642,0xCF04,0x75F4,0xCE4B, +0x75A6,0xCD92,0x7556,0xCCD9,0x7505,0xCC21,0x74B3,0xCB69,0x7460,0xCAB2,0x740B, +0xC9FC,0x73B6,0xC946,0x735F,0xC890,0x7308,0xC7DB,0x72AF,0xC727,0x7255,0xC673, +0x71FA,0xC5C0,0x719E,0xC50D,0x7141,0xC45B,0x70E3,0xC3A9,0x7083,0xC2F8,0x7023, +0xC248,0x6FC2,0xC198,0x6F5F,0xC0E9,0x6EFB,0xC03A,0x6E97,0xBF8C,0x6E31,0xBEDF, +0x6DCA,0xBE32,0x6D62,0xBD86,0x6CF9,0xBCDA,0x6C8F,0xBC2F,0x6C24,0xBB85,0x6BB8, +0xBADC,0x6B4B,0xBA33,0x6ADD,0xB98B,0x6A6E,0xB8E3,0x69FD,0xB83C,0x698C,0xB796, +0x691A,0xB6F1,0x68A7,0xB64C,0x6832,0xB5A8,0x67BD,0xB505,0x6747,0xB462,0x66D0, +0xB3C0,0x6657,0xB31F,0x65DE,0xB27F,0x6564,0xB1DF,0x64E9,0xB140,0x646C,0xB0A2, +0x63EF,0xB005,0x6371,0xAF68,0x62F2,0xAECC,0x6272,0xAE31,0x61F1,0xAD97,0x616F, +0xACFD,0x60EC,0xAC65,0x6068,0xABCD,0x5FE4,0xAB36,0x5F5E,0xAAA0,0x5ED7,0xAA0A, +0x5E50,0xA976,0x5DC8,0xA8E2,0x5D3E,0xA84F,0x5CB4,0xA7BD,0x5C29,0xA72C,0x5B9D, +0xA69C,0x5B10,0xA60C,0x5A82,0xA57E,0x59F4,0xA4F0,0x5964,0xA463,0x58D4,0xA3D7, +0x5843,0xA34C,0x57B1,0xA2C2,0x571E,0xA238,0x568A,0xA1B0,0x55F6,0xA129,0x5560, +0xA0A2,0x54CA,0xA01C,0x5433,0x9F98,0x539B,0x9F14,0x5303,0x9E91,0x5269,0x9E0F, +0x51CF,0x9D8E,0x5134,0x9D0E,0x5098,0x9C8F,0x4FFB,0x9C11,0x4F5E,0x9B94,0x4EC0, +0x9B17,0x4E21,0x9A9C,0x4D81,0x9A22,0x4CE1,0x99A9,0x4C40,0x9930,0x4B9E,0x98B9, +0x4AFB,0x9843,0x4A58,0x97CE,0x49B4,0x9759,0x490F,0x96E6,0x486A,0x9674,0x47C4, +0x9603,0x471D,0x9592,0x4675,0x9523,0x45CD,0x94B5,0x4524,0x9448,0x447B,0x93DC, +0x43D1,0x9371,0x4326,0x9307,0x427A,0x929E,0x41CE,0x9236,0x4121,0x91CF,0x4074, +0x9169,0x3FC6,0x9105,0x3F17,0x90A1,0x3E68,0x903E,0x3DB8,0x8FDD,0x3D08,0x8F7D, +0x3C57,0x8F1D,0x3BA5,0x8EBF,0x3AF3,0x8E62,0x3A40,0x8E06,0x398D,0x8DAB,0x38D9, +0x8D51,0x3825,0x8CF8,0x3770,0x8CA1,0x36BA,0x8C4A,0x3604,0x8BF5,0x354E,0x8BA0, +0x3497,0x8B4D,0x33DF,0x8AFB,0x3327,0x8AAA,0x326E,0x8A5A,0x31B5,0x8A0C,0x30FC, +0x89BE,0x3042,0x8972,0x2F87,0x8927,0x2ECC,0x88DD,0x2E11,0x8894,0x2D55,0x884C, +0x2C99,0x8805,0x2BDC,0x87C0,0x2B1F,0x877B,0x2A62,0x8738,0x29A4,0x86F6,0x28E5, +0x86B6,0x2827,0x8676,0x2768,0x8637,0x26A8,0x85FA,0x25E8,0x85BE,0x2528,0x8583, +0x2467,0x8549,0x23A7,0x8511,0x22E5,0x84D9,0x2224,0x84A3,0x2162,0x846E,0x209F, +0x843A,0x1FDD,0x8407,0x1F1A,0x83D6,0x1E57,0x83A6,0x1D93,0x8377,0x1CD0,0x8349, +0x1C0C,0x831C,0x1B47,0x82F1,0x1A83,0x82C6,0x19BE,0x829D,0x18F9,0x8276,0x1833, +0x824F,0x176E,0x822A,0x16A8,0x8205,0x15E2,0x81E2,0x151C,0x81C1,0x1455,0x81A0, +0x138F,0x8181,0x12C8,0x8163,0x1201,0x8146,0x113A,0x812A,0x1073,0x8110,0x0FAB, +0x80F6,0x0EE4,0x80DE,0x0E1C,0x80C8,0x0D54,0x80B2,0x0C8C,0x809E,0x0BC4,0x808B, +0x0AFB,0x8079,0x0A33,0x8068,0x096B,0x8059,0x08A2,0x804B,0x07D9,0x803E,0x0711, +0x8032,0x0648,0x8027,0x057F,0x801E,0x04B6,0x8016,0x03ED,0x800F,0x0324,0x800A, +0x025B,0x8006,0x0192,0x8002,0x00C9,0x8001,0x7FFF,0x0000,0x7FF6,0xFCDC,0x7FD9, +0xF9B8,0x7FA7,0xF695,0x7F62,0xF374,0x7F0A,0xF055,0x7E9D,0xED38,0x7E1E,0xEA1E, +0x7D8A,0xE707,0x7CE4,0xE3F4,0x7C2A,0xE0E6,0x7B5D,0xDDDC,0x7A7D,0xDAD8,0x798A, +0xD7D9,0x7885,0xD4E1,0x776C,0xD1EF,0x7642,0xCF04,0x7505,0xCC21,0x73B6,0xC946, +0x7255,0xC673,0x70E3,0xC3A9,0x6F5F,0xC0E9,0x6DCA,0xBE32,0x6C24,0xBB85,0x6A6E, +0xB8E3,0x68A7,0xB64C,0x66D0,0xB3C0,0x64E9,0xB140,0x62F2,0xAECC,0x60EC,0xAC65, +0x5ED7,0xAA0A,0x5CB4,0xA7BD,0x5A82,0xA57E,0x5843,0xA34C,0x55F6,0xA129,0x539B, +0x9F14,0x5134,0x9D0E,0x4EC0,0x9B17,0x4C40,0x9930,0x49B4,0x9759,0x471D,0x9592, +0x447B,0x93DC,0x41CE,0x9236,0x3F17,0x90A1,0x3C57,0x8F1D,0x398D,0x8DAB,0x36BA, +0x8C4A,0x33DF,0x8AFB,0x30FC,0x89BE,0x2E11,0x8894,0x2B1F,0x877B,0x2827,0x8676, +0x2528,0x8583,0x2224,0x84A3,0x1F1A,0x83D6,0x1C0C,0x831C,0x18F9,0x8276,0x15E2, +0x81E2,0x12C8,0x8163,0x0FAB,0x80F6,0x0C8C,0x809E,0x096B,0x8059,0x0648,0x8027, +0x0324,0x800A,0x7FFF,0x0000,0x7F62,0xF374,0x7D8A,0xE707,0x7A7D,0xDAD8,0x7642, +0xCF04,0x70E3,0xC3A9,0x6A6E,0xB8E3,0x62F2,0xAECC,0x5A82,0xA57E,0x5134,0x9D0E, +0x471D,0x9592,0x3C57,0x8F1D,0x30FC,0x89BE,0x2528,0x8583,0x18F9,0x8276,0x0C8C, +0x809E,0x7FFF,0x0000,0x7642,0xCF04,0x5A82,0xA57E,0x30FC,0x89BE,}; + +q15_t rearranged_twiddle_stride2_1024_q15[680]={ +0x7FFF,0x0000,0x7FFE,0xFE6E,0x7FF6,0xFCDC,0x7FEA,0xFB4A,0x7FD9,0xF9B8,0x7FC2, +0xF827,0x7FA7,0xF695,0x7F87,0xF505,0x7F62,0xF374,0x7F38,0xF1E4,0x7F0A,0xF055, +0x7ED6,0xEEC6,0x7E9D,0xED38,0x7E60,0xEBAB,0x7E1E,0xEA1E,0x7DD6,0xE892,0x7D8A, +0xE707,0x7D3A,0xE57D,0x7CE4,0xE3F4,0x7C89,0xE26D,0x7C2A,0xE0E6,0x7BC6,0xDF61, +0x7B5D,0xDDDC,0x7AEF,0xDC59,0x7A7D,0xDAD8,0x7A06,0xD958,0x798A,0xD7D9,0x790A, +0xD65C,0x7885,0xD4E1,0x77FB,0xD367,0x776C,0xD1EF,0x76D9,0xD079,0x7642,0xCF04, +0x75A6,0xCD92,0x7505,0xCC21,0x7460,0xCAB2,0x73B6,0xC946,0x7308,0xC7DB,0x7255, +0xC673,0x719E,0xC50D,0x70E3,0xC3A9,0x7023,0xC248,0x6F5F,0xC0E9,0x6E97,0xBF8C, +0x6DCA,0xBE32,0x6CF9,0xBCDA,0x6C24,0xBB85,0x6B4B,0xBA33,0x6A6E,0xB8E3,0x698C, +0xB796,0x68A7,0xB64C,0x67BD,0xB505,0x66D0,0xB3C0,0x65DE,0xB27F,0x64E9,0xB140, +0x63EF,0xB005,0x62F2,0xAECC,0x61F1,0xAD97,0x60EC,0xAC65,0x5FE4,0xAB36,0x5ED7, +0xAA0A,0x5DC8,0xA8E2,0x5CB4,0xA7BD,0x5B9D,0xA69C,0x5A82,0xA57E,0x5964,0xA463, +0x5843,0xA34C,0x571E,0xA238,0x55F6,0xA129,0x54CA,0xA01C,0x539B,0x9F14,0x5269, +0x9E0F,0x5134,0x9D0E,0x4FFB,0x9C11,0x4EC0,0x9B17,0x4D81,0x9A22,0x4C40,0x9930, +0x4AFB,0x9843,0x49B4,0x9759,0x486A,0x9674,0x471D,0x9592,0x45CD,0x94B5,0x447B, +0x93DC,0x4326,0x9307,0x41CE,0x9236,0x4074,0x9169,0x3F17,0x90A1,0x3DB8,0x8FDD, +0x3C57,0x8F1D,0x3AF3,0x8E62,0x398D,0x8DAB,0x3825,0x8CF8,0x36BA,0x8C4A,0x354E, +0x8BA0,0x33DF,0x8AFB,0x326E,0x8A5A,0x30FC,0x89BE,0x2F87,0x8927,0x2E11,0x8894, +0x2C99,0x8805,0x2B1F,0x877B,0x29A4,0x86F6,0x2827,0x8676,0x26A8,0x85FA,0x2528, +0x8583,0x23A7,0x8511,0x2224,0x84A3,0x209F,0x843A,0x1F1A,0x83D6,0x1D93,0x8377, +0x1C0C,0x831C,0x1A83,0x82C6,0x18F9,0x8276,0x176E,0x822A,0x15E2,0x81E2,0x1455, +0x81A0,0x12C8,0x8163,0x113A,0x812A,0x0FAB,0x80F6,0x0E1C,0x80C8,0x0C8C,0x809E, +0x0AFB,0x8079,0x096B,0x8059,0x07D9,0x803E,0x0648,0x8027,0x04B6,0x8016,0x0324, +0x800A,0x0192,0x8002,0x0000,0x8000,0xFE6E,0x8002,0xFCDC,0x800A,0xFB4A,0x8016, +0xF9B8,0x8027,0xF827,0x803E,0xF695,0x8059,0xF505,0x8079,0xF374,0x809E,0xF1E4, +0x80C8,0xF055,0x80F6,0xEEC6,0x812A,0xED38,0x8163,0xEBAB,0x81A0,0xEA1E,0x81E2, +0xE892,0x822A,0xE707,0x8276,0xE57D,0x82C6,0xE3F4,0x831C,0xE26D,0x8377,0xE0E6, +0x83D6,0xDF61,0x843A,0xDDDC,0x84A3,0xDC59,0x8511,0xDAD8,0x8583,0xD958,0x85FA, +0xD7D9,0x8676,0xD65C,0x86F6,0xD4E1,0x877B,0xD367,0x8805,0xD1EF,0x8894,0xD079, +0x8927,0xCF04,0x89BE,0xCD92,0x8A5A,0xCC21,0x8AFB,0xCAB2,0x8BA0,0xC946,0x8C4A, +0xC7DB,0x8CF8,0xC673,0x8DAB,0xC50D,0x8E62,0xC3A9,0x8F1D,0xC248,0x8FDD,0xC0E9, +0x90A1,0xBF8C,0x9169,0xBE32,0x9236,0xBCDA,0x9307,0xBB85,0x93DC,0xBA33,0x94B5, +0xB8E3,0x9592,0xB796,0x9674,0xB64C,0x9759,0xB505,0x9843,0xB3C0,0x9930,0xB27F, +0x9A22,0xB140,0x9B17,0xB005,0x9C11,0xAECC,0x9D0E,0xAD97,0x9E0F,0xAC65,0x9F14, +0xAB36,0xA01C,0xAA0A,0xA129,0xA8E2,0xA238,0xA7BD,0xA34C,0xA69C,0xA463,0xA57E, +0xA57E,0xA463,0xA69C,0xA34C,0xA7BD,0xA238,0xA8E2,0xA129,0xAA0A,0xA01C,0xAB36, +0x9F14,0xAC65,0x9E0F,0xAD97,0x9D0E,0xAECC,0x9C11,0xB005,0x9B17,0xB140,0x9A22, +0xB27F,0x9930,0xB3C0,0x9843,0xB505,0x9759,0xB64C,0x9674,0xB796,0x9592,0xB8E3, +0x94B5,0xBA33,0x93DC,0xBB85,0x9307,0xBCDA,0x9236,0xBE32,0x9169,0xBF8C,0x90A1, +0xC0E9,0x8FDD,0xC248,0x8F1D,0xC3A9,0x8E62,0xC50D,0x8DAB,0xC673,0x8CF8,0xC7DB, +0x8C4A,0xC946,0x8BA0,0xCAB2,0x8AFB,0xCC21,0x8A5A,0xCD92,0x89BE,0xCF04,0x8927, +0xD079,0x8894,0xD1EF,0x8805,0xD367,0x877B,0xD4E1,0x86F6,0xD65C,0x8676,0xD7D9, +0x85FA,0xD958,0x8583,0xDAD8,0x8511,0xDC59,0x84A3,0xDDDC,0x843A,0xDF61,0x83D6, +0xE0E6,0x8377,0xE26D,0x831C,0xE3F4,0x82C6,0xE57D,0x8276,0xE707,0x822A,0xE892, +0x81E2,0xEA1E,0x81A0,0xEBAB,0x8163,0xED38,0x812A,0xEEC6,0x80F6,0xF055,0x80C8, +0xF1E4,0x809E,0xF374,0x8079,0xF505,0x8059,0xF695,0x803E,0xF827,0x8027,0xF9B8, +0x8016,0xFB4A,0x800A,0xFCDC,0x8002,0xFE6E,0x7FFF,0x0000,0x7FD9,0xF9B8,0x7F62, +0xF374,0x7E9D,0xED38,0x7D8A,0xE707,0x7C2A,0xE0E6,0x7A7D,0xDAD8,0x7885,0xD4E1, +0x7642,0xCF04,0x73B6,0xC946,0x70E3,0xC3A9,0x6DCA,0xBE32,0x6A6E,0xB8E3,0x66D0, +0xB3C0,0x62F2,0xAECC,0x5ED7,0xAA0A,0x5A82,0xA57E,0x55F6,0xA129,0x5134,0x9D0E, +0x4C40,0x9930,0x471D,0x9592,0x41CE,0x9236,0x3C57,0x8F1D,0x36BA,0x8C4A,0x30FC, +0x89BE,0x2B1F,0x877B,0x2528,0x8583,0x1F1A,0x83D6,0x18F9,0x8276,0x12C8,0x8163, +0x0C8C,0x809E,0x0648,0x8027,0x0000,0x8000,0xF9B8,0x8027,0xF374,0x809E,0xED38, +0x8163,0xE707,0x8276,0xE0E6,0x83D6,0xDAD8,0x8583,0xD4E1,0x877B,0xCF04,0x89BE, +0xC946,0x8C4A,0xC3A9,0x8F1D,0xBE32,0x9236,0xB8E3,0x9592,0xB3C0,0x9930,0xAECC, +0x9D0E,0xAA0A,0xA129,0xA57E,0xA57E,0xA129,0xAA0A,0x9D0E,0xAECC,0x9930,0xB3C0, +0x9592,0xB8E3,0x9236,0xBE32,0x8F1D,0xC3A9,0x8C4A,0xC946,0x89BE,0xCF04,0x877B, +0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38,0x809E,0xF374, +0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E,0xB8E3,0x5A82, +0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000,0xE707,0x8276, +0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE,0xCF04,0x8276, +0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_1024_q15[680]={ +0x7FFF,0x0000,0x7FFA,0xFDA5,0x7FEA,0xFB4A,0x7FCE,0xF8EF,0x7FA7,0xF695,0x7F75, +0xF43C,0x7F38,0xF1E4,0x7EF0,0xEF8D,0x7E9D,0xED38,0x7E3F,0xEAE4,0x7DD6,0xE892, +0x7D63,0xE642,0x7CE4,0xE3F4,0x7C5A,0xE1A9,0x7BC6,0xDF61,0x7B27,0xDD1B,0x7A7D, +0xDAD8,0x79C9,0xD898,0x790A,0xD65C,0x7840,0xD424,0x776C,0xD1EF,0x768E,0xCFBE, +0x75A6,0xCD92,0x74B3,0xCB69,0x73B6,0xC946,0x72AF,0xC727,0x719E,0xC50D,0x7083, +0xC2F8,0x6F5F,0xC0E9,0x6E31,0xBEDF,0x6CF9,0xBCDA,0x6BB8,0xBADC,0x6A6E,0xB8E3, +0x691A,0xB6F1,0x67BD,0xB505,0x6657,0xB31F,0x64E9,0xB140,0x6371,0xAF68,0x61F1, +0xAD97,0x6068,0xABCD,0x5ED7,0xAA0A,0x5D3E,0xA84F,0x5B9D,0xA69C,0x59F4,0xA4F0, +0x5843,0xA34C,0x568A,0xA1B0,0x54CA,0xA01C,0x5303,0x9E91,0x5134,0x9D0E,0x4F5E, +0x9B94,0x4D81,0x9A22,0x4B9E,0x98B9,0x49B4,0x9759,0x47C4,0x9603,0x45CD,0x94B5, +0x43D1,0x9371,0x41CE,0x9236,0x3FC6,0x9105,0x3DB8,0x8FDD,0x3BA5,0x8EBF,0x398D, +0x8DAB,0x3770,0x8CA1,0x354E,0x8BA0,0x3327,0x8AAA,0x30FC,0x89BE,0x2ECC,0x88DD, +0x2C99,0x8805,0x2A62,0x8738,0x2827,0x8676,0x25E8,0x85BE,0x23A7,0x8511,0x2162, +0x846E,0x1F1A,0x83D6,0x1CD0,0x8349,0x1A83,0x82C6,0x1833,0x824F,0x15E2,0x81E2, +0x138F,0x8181,0x113A,0x812A,0x0EE4,0x80DE,0x0C8C,0x809E,0x0A33,0x8068,0x07D9, +0x803E,0x057F,0x801E,0x0324,0x800A,0x00C9,0x8001,0xFE6E,0x8002,0xFC13,0x800F, +0xF9B8,0x8027,0xF75E,0x804B,0xF505,0x8079,0xF2AC,0x80B2,0xF055,0x80F6,0xEDFF, +0x8146,0xEBAB,0x81A0,0xE958,0x8205,0xE707,0x8276,0xE4B9,0x82F1,0xE26D,0x8377, +0xE023,0x8407,0xDDDC,0x84A3,0xDB99,0x8549,0xD958,0x85FA,0xD71B,0x86B6,0xD4E1, +0x877B,0xD2AB,0x884C,0xD079,0x8927,0xCE4B,0x8A0C,0xCC21,0x8AFB,0xC9FC,0x8BF5, +0xC7DB,0x8CF8,0xC5C0,0x8E06,0xC3A9,0x8F1D,0xC198,0x903E,0xBF8C,0x9169,0xBD86, +0x929E,0xBB85,0x93DC,0xB98B,0x9523,0xB796,0x9674,0xB5A8,0x97CE,0xB3C0,0x9930, +0xB1DF,0x9A9C,0xB005,0x9C11,0xAE31,0x9D8E,0xAC65,0x9F14,0xAAA0,0xA0A2,0xA8E2, +0xA238,0xA72C,0xA3D7,0xA57E,0xA57E,0xA3D7,0xA72C,0xA238,0xA8E2,0xA0A2,0xAAA0, +0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930,0xB3C0,0x97CE, +0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86,0x9169,0xBF8C, +0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5,0xC9FC,0x8AFB, +0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1,0x86B6,0xD71B, +0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377,0xE26D,0x82F1, +0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF,0x80F6,0xF055, +0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F,0xFC13,0x8002, +0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9,0x8068,0x0A33, +0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2,0x15E2,0x824F, +0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162,0x8511,0x23A7, +0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD,0x2ECC,0x89BE, +0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D,0x8EBF,0x3BA5, +0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5,0x45CD,0x9603, +0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E,0x9D0E,0x5134, +0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0,0x59F4,0xA69C, +0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1,0xAF68,0x6371, +0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3,0x6A6E,0xBADC, +0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083,0xC50D,0x719E, +0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE,0x768E,0xD1EF, +0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D,0xDD1B,0x7B27, +0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892,0x7DD6,0xEAE4, +0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75,0xF695,0x7FA7, +0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7,0xF695,0x7E9D, +0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946,0x6F5F,0xC0E9, +0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134,0x9D0E,0x49B4, +0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676,0x1F1A,0x83D6, +0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055,0x80F6,0xE707, +0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D,0xBB85,0x93DC, +0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930,0xB3C0,0x93DC, +0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC,0x8276,0xE707, +0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2,0x15E2,0x83D6, +0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE,0x9759,0x49B4, +0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3,0x6A6E,0xC0E9, +0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4,0xED38,0x7E9D, +0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134,0x9D0E,0x30FC, +0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E,0x8F1D,0xC3A9, +0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3,0x6A6E,0xDAD8, +0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192) + +uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]={ +0,2048,2560,2688,2720,0,}; + +q15_t rearranged_twiddle_stride1_4096_q15[2728]={ +0x7FFF,0x0000,0x7FFF,0xFFCE,0x7FFF,0xFF9B,0x7FFF,0xFF69,0x7FFF,0xFF37,0x7FFF, +0xFF05,0x7FFF,0xFED2,0x7FFE,0xFEA0,0x7FFE,0xFE6E,0x7FFD,0xFE3C,0x7FFC,0xFE09, +0x7FFB,0xFDD7,0x7FFA,0xFDA5,0x7FF9,0xFD73,0x7FF8,0xFD40,0x7FF7,0xFD0E,0x7FF6, +0xFCDC,0x7FF5,0xFCAA,0x7FF4,0xFC77,0x7FF2,0xFC45,0x7FF1,0xFC13,0x7FEF,0xFBE1, +0x7FED,0xFBAE,0x7FEC,0xFB7C,0x7FEA,0xFB4A,0x7FE8,0xFB18,0x7FE6,0xFAE5,0x7FE4, +0xFAB3,0x7FE2,0xFA81,0x7FE0,0xFA4F,0x7FDD,0xFA1D,0x7FDB,0xF9EA,0x7FD9,0xF9B8, +0x7FD6,0xF986,0x7FD3,0xF954,0x7FD1,0xF922,0x7FCE,0xF8EF,0x7FCB,0xF8BD,0x7FC8, +0xF88B,0x7FC5,0xF859,0x7FC2,0xF827,0x7FBF,0xF7F4,0x7FBC,0xF7C2,0x7FB9,0xF790, +0x7FB5,0xF75E,0x7FB2,0xF72C,0x7FAE,0xF6FA,0x7FAB,0xF6C8,0x7FA7,0xF695,0x7FA3, +0xF663,0x7FA0,0xF631,0x7F9C,0xF5FF,0x7F98,0xF5CD,0x7F94,0xF59B,0x7F90,0xF569, +0x7F8B,0xF537,0x7F87,0xF505,0x7F83,0xF4D3,0x7F7E,0xF4A0,0x7F7A,0xF46E,0x7F75, +0xF43C,0x7F71,0xF40A,0x7F6C,0xF3D8,0x7F67,0xF3A6,0x7F62,0xF374,0x7F5D,0xF342, +0x7F58,0xF310,0x7F53,0xF2DE,0x7F4E,0xF2AC,0x7F49,0xF27A,0x7F43,0xF248,0x7F3E, +0xF216,0x7F38,0xF1E4,0x7F33,0xF1B2,0x7F2D,0xF180,0x7F27,0xF14E,0x7F22,0xF11C, +0x7F1C,0xF0EB,0x7F16,0xF0B9,0x7F10,0xF087,0x7F0A,0xF055,0x7F03,0xF023,0x7EFD, +0xEFF1,0x7EF7,0xEFBF,0x7EF0,0xEF8D,0x7EEA,0xEF5C,0x7EE3,0xEF2A,0x7EDD,0xEEF8, +0x7ED6,0xEEC6,0x7ECF,0xEE94,0x7EC8,0xEE62,0x7EC1,0xEE31,0x7EBA,0xEDFF,0x7EB3, +0xEDCD,0x7EAC,0xED9B,0x7EA5,0xED6A,0x7E9D,0xED38,0x7E96,0xED06,0x7E8E,0xECD5, +0x7E87,0xECA3,0x7E7F,0xEC71,0x7E78,0xEC3F,0x7E70,0xEC0E,0x7E68,0xEBDC,0x7E60, +0xEBAB,0x7E58,0xEB79,0x7E50,0xEB47,0x7E48,0xEB16,0x7E3F,0xEAE4,0x7E37,0xEAB3, +0x7E2F,0xEA81,0x7E26,0xEA4F,0x7E1E,0xEA1E,0x7E15,0xE9EC,0x7E0C,0xE9BB,0x7E03, +0xE989,0x7DFB,0xE958,0x7DF2,0xE926,0x7DE9,0xE8F5,0x7DE0,0xE8C4,0x7DD6,0xE892, +0x7DCD,0xE861,0x7DC4,0xE82F,0x7DBA,0xE7FE,0x7DB1,0xE7CD,0x7DA7,0xE79B,0x7D9E, +0xE76A,0x7D94,0xE739,0x7D8A,0xE707,0x7D81,0xE6D6,0x7D77,0xE6A5,0x7D6D,0xE673, +0x7D63,0xE642,0x7D58,0xE611,0x7D4E,0xE5E0,0x7D44,0xE5AF,0x7D3A,0xE57D,0x7D2F, +0xE54C,0x7D25,0xE51B,0x7D1A,0xE4EA,0x7D0F,0xE4B9,0x7D05,0xE488,0x7CFA,0xE457, +0x7CEF,0xE426,0x7CE4,0xE3F4,0x7CD9,0xE3C3,0x7CCE,0xE392,0x7CC2,0xE361,0x7CB7, +0xE330,0x7CAC,0xE2FF,0x7CA0,0xE2CF,0x7C95,0xE29E,0x7C89,0xE26D,0x7C7E,0xE23C, +0x7C72,0xE20B,0x7C66,0xE1DA,0x7C5A,0xE1A9,0x7C4E,0xE178,0x7C42,0xE148,0x7C36, +0xE117,0x7C2A,0xE0E6,0x7C1E,0xE0B5,0x7C11,0xE085,0x7C05,0xE054,0x7BF9,0xE023, +0x7BEC,0xDFF2,0x7BDF,0xDFC2,0x7BD3,0xDF91,0x7BC6,0xDF61,0x7BB9,0xDF30,0x7BAC, +0xDEFF,0x7B9F,0xDECF,0x7B92,0xDE9E,0x7B85,0xDE6E,0x7B78,0xDE3D,0x7B6A,0xDE0D, +0x7B5D,0xDDDC,0x7B50,0xDDAC,0x7B42,0xDD7C,0x7B34,0xDD4B,0x7B27,0xDD1B,0x7B19, +0xDCEA,0x7B0B,0xDCBA,0x7AFD,0xDC8A,0x7AEF,0xDC59,0x7AE1,0xDC29,0x7AD3,0xDBF9, +0x7AC5,0xDBC9,0x7AB7,0xDB99,0x7AA8,0xDB68,0x7A9A,0xDB38,0x7A8C,0xDB08,0x7A7D, +0xDAD8,0x7A6E,0xDAA8,0x7A60,0xDA78,0x7A51,0xDA48,0x7A42,0xDA18,0x7A33,0xD9E8, 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+0xCF04,0x877B,0xD4E1,0x8583,0xDAD8,0x83D6,0xE0E6,0x8276,0xE707,0x8163,0xED38, +0x809E,0xF374,0x8027,0xF9B8,0x7FFF,0x0000,0x7D8A,0xE707,0x7642,0xCF04,0x6A6E, +0xB8E3,0x5A82,0xA57E,0x471D,0x9592,0x30FC,0x89BE,0x18F9,0x8276,0x0000,0x8000, +0xE707,0x8276,0xCF04,0x89BE,0xB8E3,0x9592,0xA57E,0xA57E,0x9592,0xB8E3,0x89BE, +0xCF04,0x8276,0xE707,0x7FFF,0x0000,0x5A82,0xA57E,0x0000,0x8000,0xA57E,0xA57E,}; + +q15_t rearranged_twiddle_stride3_4096_q15[2728]={ +0x7FFF,0x0000,0x7FFF,0xFF69,0x7FFF,0xFED2,0x7FFD,0xFE3C,0x7FFA,0xFDA5,0x7FF7, +0xFD0E,0x7FF4,0xFC77,0x7FEF,0xFBE1,0x7FEA,0xFB4A,0x7FE4,0xFAB3,0x7FDD,0xFA1D, +0x7FD6,0xF986,0x7FCE,0xF8EF,0x7FC5,0xF859,0x7FBC,0xF7C2,0x7FB2,0xF72C,0x7FA7, +0xF695,0x7F9C,0xF5FF,0x7F90,0xF569,0x7F83,0xF4D3,0x7F75,0xF43C,0x7F67,0xF3A6, +0x7F58,0xF310,0x7F49,0xF27A,0x7F38,0xF1E4,0x7F27,0xF14E,0x7F16,0xF0B9,0x7F03, +0xF023,0x7EF0,0xEF8D,0x7EDD,0xEEF8,0x7EC8,0xEE62,0x7EB3,0xEDCD,0x7E9D,0xED38, +0x7E87,0xECA3,0x7E70,0xEC0E,0x7E58,0xEB79,0x7E3F,0xEAE4,0x7E26,0xEA4F,0x7E0C, +0xE9BB,0x7DF2,0xE926,0x7DD6,0xE892,0x7DBA,0xE7FE,0x7D9E,0xE76A,0x7D81,0xE6D6, +0x7D63,0xE642,0x7D44,0xE5AF,0x7D25,0xE51B,0x7D05,0xE488,0x7CE4,0xE3F4,0x7CC2, +0xE361,0x7CA0,0xE2CF,0x7C7E,0xE23C,0x7C5A,0xE1A9,0x7C36,0xE117,0x7C11,0xE085, +0x7BEC,0xDFF2,0x7BC6,0xDF61,0x7B9F,0xDECF,0x7B78,0xDE3D,0x7B50,0xDDAC,0x7B27, +0xDD1B,0x7AFD,0xDC8A,0x7AD3,0xDBF9,0x7AA8,0xDB68,0x7A7D,0xDAD8,0x7A51,0xDA48, +0x7A24,0xD9B8,0x79F7,0xD928,0x79C9,0xD898,0x799A,0xD809,0x796A,0xD77A,0x793A, +0xD6EB,0x790A,0xD65C,0x78D8,0xD5CE,0x78A6,0xD53F,0x7874,0xD4B1,0x7840,0xD424, +0x780C,0xD396,0x77D8,0xD309,0x77A2,0xD27C,0x776C,0xD1EF,0x7736,0xD162,0x76FE, +0xD0D6,0x76C7,0xD04A,0x768E,0xCFBE,0x7655,0xCF33,0x761B,0xCEA7,0x75E1,0xCE1C, +0x75A6,0xCD92,0x756A,0xCD07,0x752D,0xCC7D,0x74F0,0xCBF3,0x74B3,0xCB69,0x7475, +0xCAE0,0x7436,0xCA57,0x73F6,0xC9CE,0x73B6,0xC946,0x7375,0xC8BE,0x7334,0xC836, +0x72F2,0xC7AE,0x72AF,0xC727,0x726C,0xC6A0,0x7228,0xC619,0x71E3,0xC593,0x719E, +0xC50D,0x7158,0xC487,0x7112,0xC402,0x70CB,0xC37D,0x7083,0xC2F8,0x703B,0xC274, +0x6FF2,0xC1F0,0x6FA9,0xC16C,0x6F5F,0xC0E9,0x6F14,0xC066,0x6EC9,0xBFE3,0x6E7D, +0xBF61,0x6E31,0xBEDF,0x6DE4,0xBE5D,0x6D96,0xBDDC,0x6D48,0xBD5B,0x6CF9,0xBCDA, +0x6CAA,0xBC5A,0x6C5A,0xBBDA,0x6C09,0xBB5B,0x6BB8,0xBADC,0x6B66,0xBA5D,0x6B14, +0xB9DF,0x6AC1,0xB961,0x6A6E,0xB8E3,0x6A1A,0xB866,0x69C5,0xB7E9,0x6970,0xB76D, +0x691A,0xB6F1,0x68C4,0xB675,0x686D,0xB5FA,0x6815,0xB57F,0x67BD,0xB505,0x6764, +0xB48B,0x670B,0xB411,0x66B2,0xB398,0x6657,0xB31F,0x65FC,0xB2A7,0x65A1,0xB22F, +0x6545,0xB1B7,0x64E9,0xB140,0x648B,0xB0C9,0x642E,0xB053,0x63D0,0xAFDD,0x6371, +0xAF68,0x6312,0xAEF3,0x62B2,0xAE7F,0x6252,0xAE0B,0x61F1,0xAD97,0x6190,0xAD24, +0x612E,0xACB1,0x60CB,0xAC3F,0x6068,0xABCD,0x6005,0xAB5C,0x5FA1,0xAAEB,0x5F3C, +0xAA7A,0x5ED7,0xAA0A,0x5E72,0xA99B,0x5E0C,0xA92C,0x5DA5,0xA8BD,0x5D3E,0xA84F, +0x5CD7,0xA7E2,0x5C6F,0xA774,0x5C06,0xA708,0x5B9D,0xA69C,0x5B34,0xA630,0x5AC9, +0xA5C5,0x5A5F,0xA55A,0x59F4,0xA4F0,0x5988,0xA486,0x591C,0xA41D,0x58B0,0xA3B4, +0x5843,0xA34C,0x57D5,0xA2E4,0x5767,0xA27D,0x56F9,0xA216,0x568A,0xA1B0,0x561B, +0xA14A,0x55AB,0xA0E5,0x553B,0xA080,0x54CA,0xA01C,0x5459,0x9FB9,0x53E7,0x9F56, +0x5375,0x9EF3,0x5303,0x9E91,0x5290,0x9E2F,0x521C,0x9DCE,0x51A8,0x9D6E,0x5134, +0x9D0E,0x50BF,0x9CAF,0x504A,0x9C50,0x4FD4,0x9BF1,0x4F5E,0x9B94,0x4EE8,0x9B36, +0x4E71,0x9ADA,0x4DF9,0x9A7E,0x4D81,0x9A22,0x4D09,0x99C7,0x4C91,0x996D,0x4C17, +0x9913,0x4B9E,0x98B9,0x4B24,0x9860,0x4AAA,0x9808,0x4A2F,0x97B0,0x49B4,0x9759, +0x4939,0x9703,0x48BD,0x96AD,0x4840,0x9657,0x47C4,0x9603,0x4747,0x95AE,0x46C9, +0x955B,0x464B,0x9508,0x45CD,0x94B5,0x454F,0x9463,0x44D0,0x9412,0x4450,0x93C1, +0x43D1,0x9371,0x4351,0x9321,0x42D0,0x92D2,0x424F,0x9284,0x41CE,0x9236,0x414D, +0x91E9,0x40CB,0x919C,0x4048,0x9150,0x3FC6,0x9105,0x3F43,0x90BA,0x3EC0,0x9070, +0x3E3C,0x9026,0x3DB8,0x8FDD,0x3D34,0x8F95,0x3CAF,0x8F4D,0x3C2A,0x8F06,0x3BA5, +0x8EBF,0x3B20,0x8E79,0x3A9A,0x8E34,0x3A13,0x8DEF,0x398D,0x8DAB,0x3906,0x8D67, +0x387F,0x8D24,0x37F7,0x8CE2,0x3770,0x8CA1,0x36E8,0x8C60,0x365F,0x8C1F,0x35D7, +0x8BDF,0x354E,0x8BA0,0x34C4,0x8B62,0x343B,0x8B24,0x33B1,0x8AE7,0x3327,0x8AAA, +0x329D,0x8A6E,0x3212,0x8A33,0x3187,0x89F8,0x30FC,0x89BE,0x3070,0x8985,0x2FE5, +0x894C,0x2F59,0x8914,0x2ECC,0x88DD,0x2E40,0x88A6,0x2DB3,0x8870,0x2D26,0x883A, +0x2C99,0x8805,0x2C0C,0x87D1,0x2B7E,0x879D,0x2AF0,0x876B,0x2A62,0x8738,0x29D3, +0x8707,0x2945,0x86D6,0x28B6,0x86A5,0x2827,0x8676,0x2797,0x8647,0x2708,0x8619, +0x2678,0x85EB,0x25E8,0x85BE,0x2558,0x8592,0x24C8,0x8566,0x2437,0x853B,0x23A7, +0x8511,0x2316,0x84E7,0x2284,0x84BE,0x21F3,0x8496,0x2162,0x846E,0x20D0,0x8447, +0x203E,0x8421,0x1FAC,0x83FB,0x1F1A,0x83D6,0x1E88,0x83B2,0x1DF5,0x838E,0x1D62, +0x836B,0x1CD0,0x8349,0x1C3D,0x8327,0x1BA9,0x8306,0x1B16,0x82E6,0x1A83,0x82C6, +0x19EF,0x82A8,0x195B,0x8289,0x18C7,0x826C,0x1833,0x824F,0x179F,0x8233,0x170B, +0x8217,0x1677,0x81FD,0x15E2,0x81E2,0x154D,0x81C9,0x14B9,0x81B0,0x1424,0x8198, +0x138F,0x8181,0x12FA,0x816A,0x1265,0x8154,0x11CF,0x813F,0x113A,0x812A,0x10A4, +0x8116,0x100F,0x8103,0x0F79,0x80F0,0x0EE4,0x80DE,0x0E4E,0x80CD,0x0DB8,0x80BD, +0x0D22,0x80AD,0x0C8C,0x809E,0x0BF6,0x808F,0x0B60,0x8082,0x0AC9,0x8075,0x0A33, +0x8068,0x099D,0x805D,0x0906,0x8052,0x0870,0x8047,0x07D9,0x803E,0x0743,0x8035, +0x06AC,0x802D,0x0616,0x8025,0x057F,0x801E,0x04E8,0x8018,0x0452,0x8013,0x03BB, +0x800E,0x0324,0x800A,0x028D,0x8007,0x01F7,0x8004,0x0160,0x8002,0x00C9,0x8001, +0x0032,0x8000,0xFF9B,0x8000,0xFF05,0x8001,0xFE6E,0x8002,0xFDD7,0x8005,0xFD40, +0x8008,0xFCAA,0x800B,0xFC13,0x800F,0xFB7C,0x8014,0xFAE5,0x801A,0xFA4F,0x8020, +0xF9B8,0x8027,0xF922,0x802F,0xF88B,0x8038,0xF7F4,0x8041,0xF75E,0x804B,0xF6C8, +0x8055,0xF631,0x8060,0xF59B,0x806C,0xF505,0x8079,0xF46E,0x8086,0xF3D8,0x8094, +0xF342,0x80A3,0xF2AC,0x80B2,0xF216,0x80C2,0xF180,0x80D3,0xF0EB,0x80E4,0xF055, +0x80F6,0xEFBF,0x8109,0xEF2A,0x811D,0xEE94,0x8131,0xEDFF,0x8146,0xED6A,0x815B, +0xECD5,0x8172,0xEC3F,0x8188,0xEBAB,0x81A0,0xEB16,0x81B8,0xEA81,0x81D1,0xE9EC, +0x81EB,0xE958,0x8205,0xE8C4,0x8220,0xE82F,0x823C,0xE79B,0x8259,0xE707,0x8276, +0xE673,0x8293,0xE5E0,0x82B2,0xE54C,0x82D1,0xE4B9,0x82F1,0xE426,0x8311,0xE392, +0x8332,0xE2FF,0x8354,0xE26D,0x8377,0xE1DA,0x839A,0xE148,0x83BE,0xE0B5,0x83E2, +0xE023,0x8407,0xDF91,0x842D,0xDEFF,0x8454,0xDE6E,0x847B,0xDDDC,0x84A3,0xDD4B, +0x84CC,0xDCBA,0x84F5,0xDC29,0x851F,0xDB99,0x8549,0xDB08,0x8574,0xDA78,0x85A0, +0xD9E8,0x85CD,0xD958,0x85FA,0xD8C8,0x8628,0xD839,0x8656,0xD7AA,0x8686,0xD71B, +0x86B6,0xD68C,0x86E6,0xD5FD,0x8717,0xD56F,0x8749,0xD4E1,0x877B,0xD453,0x87AF, +0xD3C5,0x87E2,0xD338,0x8817,0xD2AB,0x884C,0xD21E,0x8882,0xD191,0x88B8,0xD105, +0x88EF,0xD079,0x8927,0xCFED,0x895F,0xCF61,0x8998,0xCED6,0x89D2,0xCE4B,0x8A0C, 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+0xA0A2,0xAAA0,0x9F14,0xAC65,0x9D8E,0xAE31,0x9C11,0xB005,0x9A9C,0xB1DF,0x9930, +0xB3C0,0x97CE,0xB5A8,0x9674,0xB796,0x9523,0xB98B,0x93DC,0xBB85,0x929E,0xBD86, +0x9169,0xBF8C,0x903E,0xC198,0x8F1D,0xC3A9,0x8E06,0xC5C0,0x8CF8,0xC7DB,0x8BF5, +0xC9FC,0x8AFB,0xCC21,0x8A0C,0xCE4B,0x8927,0xD079,0x884C,0xD2AB,0x877B,0xD4E1, +0x86B6,0xD71B,0x85FA,0xD958,0x8549,0xDB99,0x84A3,0xDDDC,0x8407,0xE023,0x8377, +0xE26D,0x82F1,0xE4B9,0x8276,0xE707,0x8205,0xE958,0x81A0,0xEBAB,0x8146,0xEDFF, +0x80F6,0xF055,0x80B2,0xF2AC,0x8079,0xF505,0x804B,0xF75E,0x8027,0xF9B8,0x800F, +0xFC13,0x8002,0xFE6E,0x8001,0x00C9,0x800A,0x0324,0x801E,0x057F,0x803E,0x07D9, +0x8068,0x0A33,0x809E,0x0C8C,0x80DE,0x0EE4,0x812A,0x113A,0x8181,0x138F,0x81E2, +0x15E2,0x824F,0x1833,0x82C6,0x1A83,0x8349,0x1CD0,0x83D6,0x1F1A,0x846E,0x2162, +0x8511,0x23A7,0x85BE,0x25E8,0x8676,0x2827,0x8738,0x2A62,0x8805,0x2C99,0x88DD, +0x2ECC,0x89BE,0x30FC,0x8AAA,0x3327,0x8BA0,0x354E,0x8CA1,0x3770,0x8DAB,0x398D, +0x8EBF,0x3BA5,0x8FDD,0x3DB8,0x9105,0x3FC6,0x9236,0x41CE,0x9371,0x43D1,0x94B5, +0x45CD,0x9603,0x47C4,0x9759,0x49B4,0x98B9,0x4B9E,0x9A22,0x4D81,0x9B94,0x4F5E, +0x9D0E,0x5134,0x9E91,0x5303,0xA01C,0x54CA,0xA1B0,0x568A,0xA34C,0x5843,0xA4F0, +0x59F4,0xA69C,0x5B9D,0xA84F,0x5D3E,0xAA0A,0x5ED7,0xABCD,0x6068,0xAD97,0x61F1, +0xAF68,0x6371,0xB140,0x64E9,0xB31F,0x6657,0xB505,0x67BD,0xB6F1,0x691A,0xB8E3, +0x6A6E,0xBADC,0x6BB8,0xBCDA,0x6CF9,0xBEDF,0x6E31,0xC0E9,0x6F5F,0xC2F8,0x7083, +0xC50D,0x719E,0xC727,0x72AF,0xC946,0x73B6,0xCB69,0x74B3,0xCD92,0x75A6,0xCFBE, +0x768E,0xD1EF,0x776C,0xD424,0x7840,0xD65C,0x790A,0xD898,0x79C9,0xDAD8,0x7A7D, +0xDD1B,0x7B27,0xDF61,0x7BC6,0xE1A9,0x7C5A,0xE3F4,0x7CE4,0xE642,0x7D63,0xE892, +0x7DD6,0xEAE4,0x7E3F,0xED38,0x7E9D,0xEF8D,0x7EF0,0xF1E4,0x7F38,0xF43C,0x7F75, +0xF695,0x7FA7,0xF8EF,0x7FCE,0xFB4A,0x7FEA,0xFDA5,0x7FFA,0x7FFF,0x0000,0x7FA7, +0xF695,0x7E9D,0xED38,0x7CE4,0xE3F4,0x7A7D,0xDAD8,0x776C,0xD1EF,0x73B6,0xC946, +0x6F5F,0xC0E9,0x6A6E,0xB8E3,0x64E9,0xB140,0x5ED7,0xAA0A,0x5843,0xA34C,0x5134, +0x9D0E,0x49B4,0x9759,0x41CE,0x9236,0x398D,0x8DAB,0x30FC,0x89BE,0x2827,0x8676, +0x1F1A,0x83D6,0x15E2,0x81E2,0x0C8C,0x809E,0x0324,0x800A,0xF9B8,0x8027,0xF055, +0x80F6,0xE707,0x8276,0xDDDC,0x84A3,0xD4E1,0x877B,0xCC21,0x8AFB,0xC3A9,0x8F1D, +0xBB85,0x93DC,0xB3C0,0x9930,0xAC65,0x9F14,0xA57E,0xA57E,0x9F14,0xAC65,0x9930, +0xB3C0,0x93DC,0xBB85,0x8F1D,0xC3A9,0x8AFB,0xCC21,0x877B,0xD4E1,0x84A3,0xDDDC, +0x8276,0xE707,0x80F6,0xF055,0x8027,0xF9B8,0x800A,0x0324,0x809E,0x0C8C,0x81E2, +0x15E2,0x83D6,0x1F1A,0x8676,0x2827,0x89BE,0x30FC,0x8DAB,0x398D,0x9236,0x41CE, +0x9759,0x49B4,0x9D0E,0x5134,0xA34C,0x5843,0xAA0A,0x5ED7,0xB140,0x64E9,0xB8E3, +0x6A6E,0xC0E9,0x6F5F,0xC946,0x73B6,0xD1EF,0x776C,0xDAD8,0x7A7D,0xE3F4,0x7CE4, +0xED38,0x7E9D,0xF695,0x7FA7,0x7FFF,0x0000,0x7A7D,0xDAD8,0x6A6E,0xB8E3,0x5134, +0x9D0E,0x30FC,0x89BE,0x0C8C,0x809E,0xE707,0x8276,0xC3A9,0x8F1D,0xA57E,0xA57E, +0x8F1D,0xC3A9,0x8276,0xE707,0x809E,0x0C8C,0x89BE,0x30FC,0x9D0E,0x5134,0xB8E3, +0x6A6E,0xDAD8,0x7A7D,0x7FFF,0x0000,0x30FC,0x89BE,0xA57E,0xA57E,0x89BE,0x30FC,}; + +#endif + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEI) */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ +#endif /* defined(ARM_MATH_MVEI) */ + diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/CMakeLists.txt new file mode 100644 index 0000000..87ea102 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/CMakeLists.txt @@ -0,0 +1,53 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPComplexMath) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPComplexMath STATIC) + +configLib(CMSISDSPComplexMath ${ROOT}) +configDsp(CMSISDSPComplexMath ${ROOT}) + + +include(interpol) +interpol(CMSISDSPFastMath) + +if (CONFIGTABLE AND ALLFAST) + target_compile_definitions(CMSISDSPComplexMath PUBLIC ARM_ALL_FAST_TABLES) +endif() + +# MVE code is using a table for computing the fast sqrt arm_cmplx_mag_q31 +# There is the possibility of not compiling this function and not including +# the table. +if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q31 OR (NOT HELIUM AND NOT MVEI)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_CMPLX_MAG_Q15 OR (NOT HELIUM AND NOT MVEI)) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_q15.c) +endif() + +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_conj_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_dot_prod_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mag_squared_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_cmplx_q31.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_f32.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q15.c) +target_sources(CMSISDSPComplexMath PRIVATE arm_cmplx_mult_real_q31.c) + + +### Includes +target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/Include") diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/ComplexMathFunctions.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/ComplexMathFunctions.c new file mode 100644 index 0000000..2210533 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/ComplexMathFunctions.c @@ -0,0 +1,46 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: CompexMathFunctions.c + * Description: Combination of all comlex math function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_cmplx_conj_f32.c" +#include "arm_cmplx_conj_q15.c" +#include "arm_cmplx_conj_q31.c" +#include "arm_cmplx_dot_prod_f32.c" +#include "arm_cmplx_dot_prod_q15.c" +#include "arm_cmplx_dot_prod_q31.c" +#include "arm_cmplx_mag_f32.c" +#include "arm_cmplx_mag_q15.c" +#include "arm_cmplx_mag_q31.c" +#include "arm_cmplx_mag_squared_f32.c" +#include "arm_cmplx_mag_squared_q15.c" +#include "arm_cmplx_mag_squared_q31.c" +#include "arm_cmplx_mult_cmplx_f32.c" +#include "arm_cmplx_mult_cmplx_q15.c" +#include "arm_cmplx_mult_cmplx_q31.c" +#include "arm_cmplx_mult_real_f32.c" +#include "arm_cmplx_mult_real_q15.c" +#include "arm_cmplx_mult_real_q31.c" diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c new file mode 100644 index 0000000..e8f9e44 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c @@ -0,0 +1,213 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_conj_f32.c + * Description: Floating-point complex conjugate + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup cmplx_conj Complex Conjugate + + Conjugates the elements of a complex data vector. + + The pSrc points to the source data and + pDst points to the destination data where the result should be written. + numSamples specifies the number of complex samples + and the data in each array is stored in an interleaved fashion + (real, imag, real, imag, ...). + Each array has a total of 2*numSamples values. + + The underlying algorithm is used: + 
+  for (n = 0; n < numSamples; n++) {
+      pDst[(2*n)  ] =  pSrc[(2*n)  ];    // real part
+      pDst[(2*n)+1] = -pSrc[(2*n)+1];    // imag part
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup cmplx_conj + @{ + */ + +/** + @brief Floating-point complex conjugate. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] numSamples number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_cmplx_conj_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + static const float32_t cmplx_conj_sign[4] = { 1.0f, -1.0f, 1.0f, -1.0f }; + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + f32x4_t vecSrc; + f32x4_t vecSign; + + /* + * load sign vector + */ + vecSign = *(f32x4_t *) cmplx_conj_sign; + + /* Compute 4 real samples at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecSrc = vld1q(pSrc); + vst1q(pDst,vmulq(vecSrc, vecSign)); + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt--; + } + + /* Tail */ + blkCnt = (blockSize & 0x3) >> 1; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_cmplx_conj_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + float32x4_t zero; + float32x4x2_t vec; + + zero = vdupq_n_f32(0.0f); + + /* Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0]+jC[1] = A[0]+(-1)*jA[1] */ + /* Calculate Complex Conjugate and then store the results in the destination buffer. */ + vec = vld2q_f32(pSrc); + vec.val[1] = vsubq_f32(zero,vec.val[1]); + vst2q_f32(pDst,vec); + + /* Increment pointers */ + pSrc += 8; + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = numSamples & 0x3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined (ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + *pDst++ = -*pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of cmplx_conj group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c new file mode 100644 index 0000000..f1d2589 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c @@ -0,0 +1,207 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_conj_q15.c + * Description: Q15 complex conjugate + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_conj + @{ + */ + +/** + @brief Q15 complex conjugate. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF. + */ + + +#if defined(ARM_MATH_MVEI) +void arm_cmplx_conj_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q31_t in1; + + q15x8x2_t vecSrc; + q15x8_t zero; + + zero = vdupq_n_s16(0); + + /* Compute 8 real samples at a time */ + blkCnt = blockSize >> 4U; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]); + vst2q(pDst,vecSrc); + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + blkCnt --; + } + + /* Tail */ + blkCnt = (blockSize & 0xF) >> 1; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + in1 = *pSrc++; + *pDst++ = __SSAT(-in1, 16); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_cmplx_conj_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in1; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in2, in3, in4; /* Temporary input variables */ +#endif + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + + #if defined (ARM_MATH_DSP) + in1 = read_q15x2_ia ((q15_t **) &pSrc); + in2 = read_q15x2_ia ((q15_t **) &pSrc); + in3 = read_q15x2_ia ((q15_t **) &pSrc); + in4 = read_q15x2_ia ((q15_t **) &pSrc); + +#ifndef ARM_MATH_BIG_ENDIAN + in1 = __QASX(0, in1); + in2 = __QASX(0, in2); + in3 = __QASX(0, in3); + in4 = __QASX(0, in4); +#else + in1 = __QSAX(0, in1); + in2 = __QSAX(0, in2); + in3 = __QSAX(0, in3); + in4 = __QSAX(0, in4); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16); + in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16); + in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16); + in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16); + + write_q15x2_ia (&pDst, in1); + write_q15x2_ia (&pDst, in2); + write_q15x2_ia (&pDst, in3); + write_q15x2_ia (&pDst, in4); +#else + *pDst++ = *pSrc++; + in1 = *pSrc++; + *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1; + + *pDst++ = *pSrc++; + in1 = *pSrc++; + *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1; + + *pDst++ = *pSrc++; + in1 = *pSrc++; + *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1; + + *pDst++ = *pSrc++; + in1 = *pSrc++; + *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + in1 = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __SSAT(-in1, 16); +#else + *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_conj group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c new file mode 100644 index 0000000..115474b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c @@ -0,0 +1,193 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_conj_q31.c + * Description: Q31 complex conjugate + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_conj + @{ + */ + +/** + @brief Q31 complex conjugate. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_conj_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q31x4x2_t vecSrc; + q31_t in; /* Temporary input variable */ + q31x4_t zero; + + zero = vdupq_n_s32(0); + + + /* Compute 4 real samples at a time */ + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + + vecSrc = vld2q(pSrc); + vecSrc.val[1] = vqsubq(zero, vecSrc.val[1]); + vst2q(pDst,vecSrc); + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + blkCnt --; + } + + /* Tail */ + blkCnt = (blockSize & 0x7) >> 1; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + in = *pSrc++; + *pDst++ = __QSUB(0, in); + + /* Decrement loop counter */ + blkCnt--; + } + + +} +#else + +void arm_cmplx_conj_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary input variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + *pDst++ = *pSrc++; + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + *pDst++ = *pSrc++; + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + *pDst++ = *pSrc++; + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] + jC[1] = A[0]+ j(-1)A[1] */ + + /* Calculate Complex Conjugate and store result in destination buffer. */ + *pDst++ = *pSrc++; + in = *pSrc++; +#if defined (ARM_MATH_DSP) + *pDst++ = __QSUB(0, in); +#else + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_conj group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c new file mode 100644 index 0000000..7382859 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c @@ -0,0 +1,302 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_dot_prod_f32.c + * Description: Floating-point complex dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup cmplx_dot_prod Complex Dot Product + + Computes the dot product of two complex vectors. + The vectors are multiplied element-by-element and then summed. + + The pSrcA points to the first complex input vector and + pSrcB points to the second complex input vector. + numSamples specifies the number of complex samples + and the data in each array is stored in an interleaved fashion + (real, imag, real, imag, ...). + Each array has a total of 2*numSamples values. + + The underlying algorithm is used: + + 
+  realResult = 0;
+  imagResult = 0;
+  for (n = 0; n < numSamples; n++) {
+      realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+      imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup cmplx_dot_prod + @{ + */ + +/** + @brief Floating-point complex dot product. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] numSamples number of samples in each vector + @param[out] realResult real part of the result returned here + @param[out] imagResult imaginary part of the result returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_cmplx_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult) +{ + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + float32_t real_sum, imag_sum; + f32x4_t vecSrcA, vecSrcB; + f32x4_t vec_acc = vdupq_n_f32(0.0f); + float32_t a0,b0,c0,d0; + + /* Compute 2 complex samples at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + vec_acc = vcmlaq(vec_acc, vecSrcA, vecSrcB); + vec_acc = vcmlaq_rot90(vec_acc, vecSrcA, vecSrcB); + + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + blkCnt--; + } + + + real_sum = vgetq_lane(vec_acc, 0) + vgetq_lane(vec_acc, 2); + imag_sum = vgetq_lane(vec_acc, 1) + vgetq_lane(vec_acc, 3); + + /* Tail */ + blkCnt = (blockSize & 3) >> 1; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + + /* + * Store the real and imaginary results in the destination buffers + */ + *realResult = real_sum; + *imagResult = imag_sum; +} + +#else +void arm_cmplx_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result variables */ + float32_t a0,b0,c0,d0; + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + float32x4x2_t vec1,vec2,vec3,vec4; + float32x4_t accR,accI; + float32x2_t accum = vdup_n_f32(0); + + accR = vdupq_n_f32(0.0f); + accI = vdupq_n_f32(0.0f); + + /* Loop unrolling: Compute 8 outputs at a time */ + blkCnt = numSamples >> 3U; + + while (blkCnt > 0U) + { + /* C = (A[0]+jA[1])*(B[0]+jB[1]) + ... */ + /* Calculate dot product and then store the result in a temporary buffer. */ + + vec1 = vld2q_f32(pSrcA); + vec2 = vld2q_f32(pSrcB); + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + + /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */ + accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]); + accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]); + + /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */ + accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]); + accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]); + + vec3 = vld2q_f32(pSrcA); + vec4 = vld2q_f32(pSrcB); + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + + /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */ + accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]); + accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]); + + /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */ + accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]); + accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]); + + /* Decrement the loop counter */ + blkCnt--; + } + + accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR)); + real_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI)); + imag_sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + /* Tail */ + blkCnt = numSamples & 0x7; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += a0 * c0; + imag_sum += a0 * d0; + real_sum -= b0 * d0; + imag_sum += b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store real and imaginary result in destination buffer. */ + *realResult = real_sum; + *imagResult = imag_sum; +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of cmplx_dot_prod group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c new file mode 100644 index 0000000..19d40e2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c @@ -0,0 +1,234 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_dot_prod_q15.c + * Description: Processing function for the Q15 Complex Dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_dot_prod + @{ + */ + +/** + @brief Q15 complex dot product. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] numSamples number of samples in each vector + @param[out] realResult real part of the result returned here + @param[out] imagResult imaginary part of the result returned her + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result. + These are accumulated in a 64-bit accumulator with 34.30 precision. + As a final step, the accumulators are converted to 8.24 format. + The return results realResult and imagResult are in 8.24 format. + */ + +#if defined(ARM_MATH_MVEI) +void arm_cmplx_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult) +{ + + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q15_t a0,b0,c0,d0; + + q63_t accReal = 0LL; q63_t accImag = 0LL; + q15x8_t vecSrcA, vecSrcB; + + + + /* should give more freedom to generate stall free code */ + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + pSrcA += 8; + pSrcB += 8; + + /* Compute 4 complex samples at a time */ + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + q15x8_t vecSrcC, vecSrcD; + + accReal = vmlsldavaq(accReal, vecSrcA, vecSrcB); + vecSrcC = vld1q(pSrcA); + pSrcA += 8; + + accImag = vmlaldavaxq(accImag, vecSrcA, vecSrcB); + vecSrcD = vld1q(pSrcB); + pSrcB += 8; + + accReal = vmlsldavaq(accReal, vecSrcC, vecSrcD); + vecSrcA = vld1q(pSrcA); + pSrcA += 8; + + accImag = vmlaldavaxq(accImag, vecSrcC, vecSrcD); + vecSrcB = vld1q(pSrcB); + pSrcB += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* Tail */ + pSrcA -= 8; + pSrcB -= 8; + + blkCnt = (blockSize & 7) >> 1; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + accReal += (q31_t)a0 * c0; + accImag += (q31_t)a0 * d0; + accReal -= (q31_t)b0 * d0; + accImag += (q31_t)b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store real and imaginary result in 8.24 format */ + /* Convert real data in 34.30 to 8.24 by 6 right shifts */ + *realResult = (q31_t) (accReal >> 6); + /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */ + *imagResult = (q31_t) (accImag >> 6); +} +#else +void arm_cmplx_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */ + q15_t a0,b0,c0,d0; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += (q31_t)a0 * c0; + imag_sum += (q31_t)a0 * d0; + real_sum -= (q31_t)b0 * d0; + imag_sum += (q31_t)b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += (q31_t)a0 * c0; + imag_sum += (q31_t)a0 * d0; + real_sum -= (q31_t)b0 * d0; + imag_sum += (q31_t)b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += (q31_t)a0 * c0; + imag_sum += (q31_t)a0 * d0; + real_sum -= (q31_t)b0 * d0; + imag_sum += (q31_t)b0 * c0; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += (q31_t)a0 * c0; + imag_sum += (q31_t)a0 * d0; + real_sum -= (q31_t)b0 * d0; + imag_sum += (q31_t)b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += (q31_t)a0 * c0; + imag_sum += (q31_t)a0 * d0; + real_sum -= (q31_t)b0 * d0; + imag_sum += (q31_t)b0 * c0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store real and imaginary result in 8.24 format */ + /* Convert real data in 34.30 to 8.24 by 6 right shifts */ + *realResult = (q31_t) (real_sum >> 6); + /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */ + *imagResult = (q31_t) (imag_sum >> 6); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_dot_prod group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c new file mode 100644 index 0000000..82975a3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c @@ -0,0 +1,220 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_dot_prod_q31.c + * Description: Q31 complex dot product + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_dot_prod + @{ + */ + +/** + @brief Q31 complex dot product. + @param[in] pSrcA points to the first input vector + @param[in] pSrcB points to the second input vector + @param[in] numSamples number of samples in each vector + @param[out] realResult real part of the result returned here + @param[out] imagResult imaginary part of the result returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format. + The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits. + Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768. + The return results realResult and imagResult are in 16.48 format. + Input down scaling is not required. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult) +{ + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q31x4_t vecSrcA, vecSrcB; + q63_t accReal = 0LL; + q63_t accImag = 0LL; + + q31_t a0,b0,c0,d0; + + /* Compute 2 complex samples at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + + vecSrcA = vld1q(pSrcA); + vecSrcB = vld1q(pSrcB); + + accReal = vrmlsldavhaq(accReal, vecSrcA, vecSrcB); + accImag = vrmlaldavhaxq(accImag, vecSrcA, vecSrcB); + + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + blkCnt --; + } + + accReal = asrl(accReal, (14 - 8)); + accImag = asrl(accImag, (14 - 8)); + + /* Tail */ + blkCnt = (blockSize & 3) >> 1; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + accReal += ((q63_t)a0 * c0) >> 14; + accImag += ((q63_t)a0 * d0) >> 14; + accReal -= ((q63_t)b0 * d0) >> 14; + accImag += ((q63_t)b0 * c0) >> 14; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store real and imaginary result in destination buffer. */ + *realResult = accReal; + *imagResult = accImag; +} + +#else +void arm_cmplx_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t real_sum = 0, imag_sum = 0; /* Temporary result variables */ + q31_t a0,b0,c0,d0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += ((q63_t)a0 * c0) >> 14; + imag_sum += ((q63_t)a0 * d0) >> 14; + real_sum -= ((q63_t)b0 * d0) >> 14; + imag_sum += ((q63_t)b0 * c0) >> 14; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += ((q63_t)a0 * c0) >> 14; + imag_sum += ((q63_t)a0 * d0) >> 14; + real_sum -= ((q63_t)b0 * d0) >> 14; + imag_sum += ((q63_t)b0 * c0) >> 14; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += ((q63_t)a0 * c0) >> 14; + imag_sum += ((q63_t)a0 * d0) >> 14; + real_sum -= ((q63_t)b0 * d0) >> 14; + imag_sum += ((q63_t)b0 * c0) >> 14; + + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += ((q63_t)a0 * c0) >> 14; + imag_sum += ((q63_t)a0 * d0) >> 14; + real_sum -= ((q63_t)b0 * d0) >> 14; + imag_sum += ((q63_t)b0 * c0) >> 14; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + a0 = *pSrcA++; + b0 = *pSrcA++; + c0 = *pSrcB++; + d0 = *pSrcB++; + + real_sum += ((q63_t)a0 * c0) >> 14; + imag_sum += ((q63_t)a0 * d0) >> 14; + real_sum -= ((q63_t)b0 * d0) >> 14; + imag_sum += ((q63_t)b0 * c0) >> 14; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store real and imaginary result in 16.48 format */ + *realResult = real_sum; + *imagResult = imag_sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_dot_prod group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c new file mode 100644 index 0000000..38c43e1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c @@ -0,0 +1,273 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_f32.c + * Description: Floating-point complex magnitude + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup cmplx_mag Complex Magnitude + + Computes the magnitude of the elements of a complex data vector. + + The pSrc points to the source data and + pDst points to the where the result should be written. + numSamples specifies the number of complex samples + in the input array and the data is stored in an interleaved fashion + (real, imag, real, imag, ...). + The input array has a total of 2*numSamples values; + the output array has a total of numSamples values. + + The underlying algorithm is used: + + 
+  for (n = 0; n < numSamples; n++) {
+      pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup cmplx_mag + @{ + */ + +/** + @brief Floating-point complex magnitude. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + + +void arm_cmplx_mag_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + f32x4x2_t vecSrc; + f32x4_t sum; + float32_t real, imag; /* Temporary variables to hold input values */ + + /* Compute 4 complex samples at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + q31x4_t newtonStartVec; + f32x4_t sumHalf, invSqrt; + + vecSrc = vld2q(pSrc); + pSrc += 8; + sum = vmulq(vecSrc.val[0], vecSrc.val[0]); + sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]); + + /* + * inlined Fast SQRT using inverse SQRT newton-raphson method + */ + + /* compute initial value */ + newtonStartVec = vdupq_n_s32(INVSQRT_MAGIC_F32) - vshrq((q31x4_t) sum, 1); + sumHalf = sum * 0.5f; + /* + * compute 3 x iterations + * + * The more iterations, the more accuracy. + * If you need to trade a bit of accuracy for more performance, + * you can comment out the 3rd use of the macro. + */ + INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, (f32x4_t) newtonStartVec); + INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt); + INVSQRT_NEWTON_MVE_F32(invSqrt, sumHalf, invSqrt); + /* + * set negative values to 0 + */ + invSqrt = vdupq_m(invSqrt, 0.0f, vcmpltq(invSqrt, 0.0f)); + /* + * sqrt(x) = x * invSqrt(x) + */ + sum = vmulq(sum, invSqrt); + vst1q(pDst, sum); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + + /* store result in destination buffer. */ + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_cmplx_mag_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* loop counter */ + float32_t real, imag; /* Temporary variables to hold input values */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + + float32x4x2_t vecA; + float32x4_t vRealA; + float32x4_t vImagA; + float32x4_t vMagSqA; + + float32x4x2_t vecB; + float32x4_t vRealB; + float32x4_t vImagB; + float32x4_t vMagSqB; + + /* Loop unrolling: Compute 8 outputs at a time */ + blkCnt = numSamples >> 3; + + while (blkCnt > 0U) + { + /* out = sqrt((real * real) + (imag * imag)) */ + + vecA = vld2q_f32(pSrc); + pSrc += 8; + + vecB = vld2q_f32(pSrc); + pSrc += 8; + + vRealA = vmulq_f32(vecA.val[0], vecA.val[0]); + vImagA = vmulq_f32(vecA.val[1], vecA.val[1]); + vMagSqA = vaddq_f32(vRealA, vImagA); + + vRealB = vmulq_f32(vecB.val[0], vecB.val[0]); + vImagB = vmulq_f32(vecB.val[1], vecB.val[1]); + vMagSqB = vaddq_f32(vRealB, vImagB); + + /* Store the result in the destination buffer. */ + vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA)); + pDst += 4; + + vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB)); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + blkCnt = numSamples & 7; + +#else + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + + /* store result in destination buffer. */ + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + real = *pSrc++; + imag = *pSrc++; + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + real = *pSrc++; + imag = *pSrc++; + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + real = *pSrc++; + imag = *pSrc++; + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + + /* store result in destination buffer. */ + arm_sqrt_f32((real * real) + (imag * imag), pDst++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of cmplx_mag group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c new file mode 100644 index 0000000..3354a64 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c @@ -0,0 +1,221 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_q15.c + * Description: Q15 complex magnitude + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_mag + @{ + */ + +/** + @brief Q15 complex magnitude. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_cmplx_mag_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + q15x8x2_t vecSrc; + q15x8_t sum; + q31_t in; + q31_t acc0; + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + pSrc += 16; + sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]), + vmulhq(vecSrc.val[1], vecSrc.val[1])); + + sum = vshrq(sum, 1); + + sum = FAST_VSQRT_Q15(sum); + + vst1q(pDst, sum); + pDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = blockSize & 7; + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + + /* store result in 2.14 format in destination buffer. */ + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); + + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_cmplx_mag_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_DSP) + q31_t in; + q31_t acc0; /* Accumulators */ +#else + q15_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + +#if defined (ARM_MATH_DSP) + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + /* store result in 2.14 format in destination buffer. */ + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); +#else + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + + /* store result in 2.14 format in destination buffer. */ + arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + +#if defined (ARM_MATH_DSP) + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + + /* store result in 2.14 format in destination buffer. */ + arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); +#else + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + + /* store result in 2.14 format in destination buffer. */ + arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_mag group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c new file mode 100644 index 0000000..d1321ee --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c @@ -0,0 +1,201 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_q31.c + * Description: Q31 complex magnitude + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_mag + @{ + */ + +/** + @brief Q31 complex magnitude. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format. + Input down scaling is not required. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_cmplx_mag_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + + q31x4x2_t vecSrc; + q31x4_t sum; + + q31_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ + + /* Compute 4 complex samples at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + + sum = vqaddq(vmulhq(vecSrc.val[0], vecSrc.val[0]), + vmulhq(vecSrc.val[1], vecSrc.val[1])); + + sum = vshrq(sum, 1); + + /* + + This function is using a table. There are compilations flags to avoid + including this table (and in this case, arm_cmplx_maq_q31 must not + be built and linked.) + + */ + sum = FAST_VSQRT_Q31(sum); + + vst1q(pDst, sum); + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + pSrc += 8; + pDst += 4; + } + + /* + * tail + */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + + /* store result in 2.30 format in destination buffer. */ + arm_sqrt_q31(acc0 + acc1, pDst++); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_cmplx_mag_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + + /* store result in 2.30 format in destination buffer. */ + arm_sqrt_q31(acc0 + acc1, pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + arm_sqrt_q31(acc0 + acc1, pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + arm_sqrt_q31(acc0 + acc1, pDst++); + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + arm_sqrt_q31(acc0 + acc1, pDst++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + + /* store result in 2.30 format in destination buffer. */ + arm_sqrt_q31(acc0 + acc1, pDst++); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_mag group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c new file mode 100644 index 0000000..ce2a1e5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c @@ -0,0 +1,235 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_squared_f32.c + * Description: Floating-point complex magnitude squared + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup cmplx_mag_squared Complex Magnitude Squared + + Computes the magnitude squared of the elements of a complex data vector. + + The pSrc points to the source data and + pDst points to the where the result should be written. + numSamples specifies the number of complex samples + in the input array and the data is stored in an interleaved fashion + (real, imag, real, imag, ...). + The input array has a total of 2*numSamples values; + the output array has a total of numSamples values. + + The underlying algorithm is used: + + 
+  for (n = 0; n < numSamples; n++) {
+      pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup cmplx_mag_squared + @{ + */ + +/** + @brief Floating-point complex magnitude squared. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_cmplx_mag_squared_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + f32x4x2_t vecSrc; + f32x4_t sum; + float32_t real, imag; /* Temporary input variables */ + + /* Compute 4 complex samples at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + sum = vmulq(vecSrc.val[0], vecSrc.val[0]); + sum = vfmaq(sum, vecSrc.val[1], vecSrc.val[1]); + vst1q(pDst, sum); + + pSrc += 8; + pDst += 4; + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + + /* store result in destination buffer. */ + *pDst++ = (real * real) + (imag * imag); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_cmplx_mag_squared_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t real, imag; /* Temporary input variables */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + float32x4x2_t vecA; + float32x4_t vRealA; + float32x4_t vImagA; + float32x4_t vMagSqA; + + float32x4x2_t vecB; + float32x4_t vRealB; + float32x4_t vImagB; + float32x4_t vMagSqB; + + /* Loop unrolling: Compute 8 outputs at a time */ + blkCnt = numSamples >> 3; + + while (blkCnt > 0U) + { + /* out = sqrt((real * real) + (imag * imag)) */ + + vecA = vld2q_f32(pSrc); + pSrc += 8; + + vRealA = vmulq_f32(vecA.val[0], vecA.val[0]); + vImagA = vmulq_f32(vecA.val[1], vecA.val[1]); + vMagSqA = vaddq_f32(vRealA, vImagA); + + vecB = vld2q_f32(pSrc); + pSrc += 8; + + vRealB = vmulq_f32(vecB.val[0], vecB.val[0]); + vImagB = vmulq_f32(vecB.val[1], vecB.val[1]); + vMagSqB = vaddq_f32(vRealB, vImagB); + + /* Store the result in the destination buffer. */ + vst1q_f32(pDst, vMagSqA); + pDst += 4; + + vst1q_f32(pDst, vMagSqB); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + blkCnt = numSamples & 7; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + *pDst++ = (real * real) + (imag * imag); + + real = *pSrc++; + imag = *pSrc++; + *pDst++ = (real * real) + (imag * imag); + + real = *pSrc++; + imag = *pSrc++; + *pDst++ = (real * real) + (imag * imag); + + real = *pSrc++; + imag = *pSrc++; + *pDst++ = (real * real) + (imag * imag); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + + /* store result in destination buffer. */ + *pDst++ = (real * real) + (imag * imag); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of cmplx_mag_squared group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c new file mode 100644 index 0000000..7ca2f29 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c @@ -0,0 +1,221 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_squared_q15.c + * Description: Q15 complex magnitude squared + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_mag_squared + @{ + */ + +/** + @brief Q15 complex magnitude squared. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_mag_squared_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + q31_t in; + q31_t acc0; /* Accumulators */ + q15x8x2_t vecSrc; + q15x8_t vReal, vImag; + q15x8_t vMagSq; + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]); + vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]); + vMagSq = vqaddq(vReal, vImag); + vMagSq = vshrq(vMagSq, 1); + + vst1q(pDst, vMagSq); + + pSrc += 16; + pDst += 8; + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + blkCnt --; + } + + /* + * tail + */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) (acc0 >> 17); + + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_cmplx_mag_squared_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_DSP) + q31_t in; + q31_t acc0; /* Accumulators */ +#else + q15_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + +#if defined (ARM_MATH_DSP) + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) (acc0 >> 17); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + *pDst++ = (q15_t) (acc0 >> 17); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + *pDst++ = (q15_t) (acc0 >> 17); + + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + *pDst++ = (q15_t) (acc0 >> 17); +#else + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); + + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + +#if defined (ARM_MATH_DSP) + in = read_q15x2_ia ((q15_t **) &pSrc); + acc0 = __SMUAD(in, in); + + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) (acc0 >> 17); +#else + real = *pSrc++; + imag = *pSrc++; + acc0 = ((q31_t) real * real); + acc1 = ((q31_t) imag * imag); + + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_mag_squared group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c new file mode 100644 index 0000000..34a7ef4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c @@ -0,0 +1,187 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mag_squared_q31.c + * Description: Q31 complex magnitude squared + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup cmplx_mag_squared + @{ + */ + +/** + @brief Q31 complex magnitude squared. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. + Input down scaling is not required. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_mag_squared_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + int32_t blockSize = numSamples; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + q31x4x2_t vecSrc; + q31x4_t vReal, vImag; + q31x4_t vMagSq; + q31_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ + + /* Compute 4 complex samples at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + vecSrc = vld2q(pSrc); + vReal = vmulhq(vecSrc.val[0], vecSrc.val[0]); + vImag = vmulhq(vecSrc.val[1], vecSrc.val[1]); + vMagSq = vqaddq(vReal, vImag); + vMagSq = vshrq(vMagSq, 1); + + vst1q(pDst, vMagSq); + + pSrc += 8; + pDst += 4; + /* + * Decrement the blkCnt loop counter + * Advance vector source and destination pointers + */ + blkCnt --; + } + + /* Tail */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + + /* store result in 3.29 format in destination buffer. */ + *pDst++ = acc0 + acc1; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_cmplx_mag_squared_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t real, imag; /* Temporary input variables */ + q31_t acc0, acc1; /* Accumulators */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + /* store the result in 3.29 format in the destination buffer. */ + *pDst++ = acc0 + acc1; + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + *pDst++ = acc0 + acc1; + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + *pDst++ = acc0 + acc1; + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + *pDst++ = acc0 + acc1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ + + real = *pSrc++; + imag = *pSrc++; + acc0 = (q31_t) (((q63_t) real * real) >> 33); + acc1 = (q31_t) (((q63_t) imag * imag) >> 33); + + /* store result in 3.29 format in destination buffer. */ + *pDst++ = acc0 + acc1; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of cmplx_mag_squared group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c new file mode 100644 index 0000000..5272cc4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c @@ -0,0 +1,255 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_cmplx_f32.c + * Description: Floating-point complex-by-complex multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication + + Multiplies a complex vector by another complex vector and generates a complex result. + The data in the complex arrays is stored in an interleaved fashion + (real, imag, real, imag, ...). + The parameter numSamples represents the number of complex + samples processed. The complex arrays have a total of 2*numSamples + real values. + + The underlying algorithm is used: + + 
+  for (n = 0; n < numSamples; n++) {
+      pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+      pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup CmplxByCmplxMult + @{ + */ + +/** + @brief Floating-point complex-by-complex multiplication. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_cmplx_mult_cmplx_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* loop counters */ + uint32_t blockSize = numSamples; /* loop counters */ + float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */ + + f32x4x2_t vecA; + f32x4x2_t vecB; + f32x4x2_t vecDst; + + /* Compute 4 complex outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + vecA = vld2q(pSrcA); // load & separate real/imag pSrcA (de-interleave 2) + vecB = vld2q(pSrcB); // load & separate real/imag pSrcB + pSrcA += 8; + pSrcB += 8; + + /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ + vecDst.val[0] = vmulq(vecA.val[0], vecB.val[0]); + vecDst.val[0] = vfmsq(vecDst.val[0],vecA.val[1], vecB.val[1]); + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ + vecDst.val[1] = vmulq(vecA.val[0], vecB.val[1]); + vecDst.val[1] = vfmaq(vecDst.val[1], vecA.val[1], vecB.val[0]); + + vst2q(pDst, vecDst); + pDst += 8; + + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in destination buffer. */ + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_cmplx_mult_cmplx_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t a, b, c, d; /* Temporary variables to store real and imaginary values */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + float32x4x2_t va, vb; + float32x4x2_t outCplx; + + /* Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + va = vld2q_f32(pSrcA); // load & separate real/imag pSrcA (de-interleave 2) + vb = vld2q_f32(pSrcB); // load & separate real/imag pSrcB + + /* Increment pointers */ + pSrcA += 8; + pSrcB += 8; + + /* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */ + outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]); + outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]); + + /* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */ + outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]); + outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]); + + vst2q_f32(pDst, outCplx); + + /* Increment pointer */ + pDst += 8; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Tail */ + blkCnt = numSamples & 3; + +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + /* store result in destination buffer. */ + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in destination buffer. */ + *pDst++ = (a * c) - (b * d); + *pDst++ = (a * d) + (b * c); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of CmplxByCmplxMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c new file mode 100644 index 0000000..bb3d0f0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_cmplx_q15.c + * Description: Q15 complex-by-complex multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup CmplxByCmplxMult + @{ + */ + +/** + @brief Q15 complex-by-complex multiplication. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_mult_cmplx_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* loop counters */ + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + q15_t a, b, c, d; + + q15x8_t vecA; + q15x8_t vecB; + q15x8_t vecDst; + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ + vecDst = vqdmlsdhq_s16(vuninitializedq_s16(), vecA, vecB); + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ + vecDst = vqdmladhxq_s16(vecDst, vecA, vecB); + + vecDst = vshrq(vecDst, 2); + + vst1q(pDst, vecDst); + + blkCnt --; + pSrcA += 8; + pSrcB += 8; + pDst += 8; + }; + + /* + * tail + */ + blkCnt = (blockSize & 7) >> 1; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_cmplx_mult_cmplx_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t a, b, c, d; /* Temporary variables */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in 3.13 format in destination buffer. */ + *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) ); + *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) ); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of CmplxByCmplxMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c new file mode 100644 index 0000000..ae07a68 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c @@ -0,0 +1,194 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_cmplx_q31.c + * Description: Q31 complex-by-complex multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup CmplxByCmplxMult + @{ + */ + +/** + @brief Q31 complex-by-complex multiplication. + @param[in] pSrcA points to first input vector + @param[in] pSrcB points to second input vector + @param[out] pDst points to output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. + Input down scaling is not required. + */ + +#if defined(ARM_MATH_MVEI) +void arm_cmplx_mult_cmplx_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples) +{ + + uint32_t blkCnt; /* loop counters */ + uint32_t blockSize = numSamples * CMPLX_DIM; /* loop counters */ + q31x4_t vecA; + q31x4_t vecB; + q31x4_t vecDst; + q31_t a, b, c, d; /* Temporary variables */ + + /* Compute 2 complex outputs at a time */ + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + + vecA = vld1q(pSrcA); + vecB = vld1q(pSrcB); + /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ + vecDst = vqdmlsdhq(vuninitializedq_s32(),vecA, vecB); + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ + vecDst = vqdmladhxq(vecDst, vecA, vecB); + + vecDst = vshrq(vecDst, 2); + vst1q(pDst, vecDst); + + blkCnt --; + pSrcA += 4; + pSrcB += 4; + pDst += 4; + }; + + blkCnt = (blockSize & 3) >> 1; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in 3.29 format in destination buffer. */ + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_cmplx_mult_cmplx_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t a, b, c, d; /* Temporary variables */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + /* store result in 3.29 format in destination buffer. */ + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i] * B[2 * i ] - A[2 * i + 1] * B[2 * i + 1]. */ + /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i ]. */ + + a = *pSrcA++; + b = *pSrcA++; + c = *pSrcB++; + d = *pSrcB++; + + /* store result in 3.29 format in destination buffer. */ + *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) ); + *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) ); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of CmplxByCmplxMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c new file mode 100644 index 0000000..8ba17cf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c @@ -0,0 +1,224 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_real_f32.c + * Description: Floating-point complex by real multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @defgroup CmplxByRealMult Complex-by-Real Multiplication + + Multiplies a complex vector by a real vector and generates a complex result. + The data in the complex arrays is stored in an interleaved fashion + (real, imag, real, imag, ...). + The parameter numSamples represents the number of complex + samples processed. The complex arrays have a total of 2*numSamples + real values while the real array has a total of numSamples + real values. + + The underlying algorithm is used: + + 
+  for (n = 0; n < numSamples; n++) {
+      pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+      pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+  }
+
+ + There are separate functions for floating-point, Q15, and Q31 data types. + */ + +/** + @addtogroup CmplxByRealMult + @{ + */ + +/** + @brief Floating-point complex-by-real multiplication. + @param[in] pSrcCmplx points to complex input vector + @param[in] pSrcReal points to real input vector + @param[out] pCmplxDst points to complex output vector + @param[in] numSamples number of samples in each vector + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_cmplx_mult_real_f32( + const float32_t * pSrcCmplx, + const float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples) +{ + const static uint32_t stride_cmplx_x_real_32[4] = { 0, 0, 1, 1 }; + + uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + f32x4_t rVec; + f32x4_t cmplxVec; + f32x4_t dstVec; + uint32x4_t strideVec; + float32_t in; + + + /* stride vector for pairs of real generation */ + strideVec = vld1q(stride_cmplx_x_real_32); + + /* Compute 4 complex outputs at a time */ + blkCnt = blockSizeC >> 2; + while (blkCnt > 0U) + { + cmplxVec = vld1q(pSrcCmplx); + rVec = vldrwq_gather_shifted_offset_f32(pSrcReal, strideVec); + dstVec = vmulq(cmplxVec, rVec); + vst1q(pCmplxDst, dstVec); + + pSrcReal += 2; + pSrcCmplx += 4; + pCmplxDst += 4; + blkCnt--; + } + + blkCnt = (blockSizeC & 3) >> 1; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store result in destination buffer. */ + *pCmplxDst++ = *pSrcCmplx++ * in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_cmplx_mult_real_f32( + const float32_t * pSrcCmplx, + const float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t in; /* Temporary variable */ + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + float32x4_t r; + float32x4x2_t ab,outCplx; + + /* Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + ab = vld2q_f32(pSrcCmplx); // load & separate real/imag pSrcA (de-interleave 2) + r = vld1q_f32(pSrcReal); // load & separate real/imag pSrcB + + /* Increment pointers */ + pSrcCmplx += 8; + pSrcReal += 4; + + outCplx.val[0] = vmulq_f32(ab.val[0], r); + outCplx.val[1] = vmulq_f32(ab.val[1], r); + + vst2q_f32(pCmplxDst, outCplx); + pCmplxDst += 8; + + blkCnt--; + } + + /* Tail */ + blkCnt = numSamples & 3; +#else +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store result in destination buffer. */ + *pCmplxDst++ = *pSrcCmplx++ * in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + in = *pSrcReal++; + *pCmplxDst++ = *pSrcCmplx++ * in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + in = *pSrcReal++; + *pCmplxDst++ = *pSrcCmplx++ * in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + in = *pSrcReal++; + *pCmplxDst++ = *pSrcCmplx++* in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store result in destination buffer. */ + *pCmplxDst++ = *pSrcCmplx++ * in; + *pCmplxDst++ = *pSrcCmplx++ * in; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of CmplxByRealMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c new file mode 100644 index 0000000..cbcf8eb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c @@ -0,0 +1,238 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_real_q15.c + * Description: Q15 complex by real multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup CmplxByRealMult + @{ + */ + +/** + @brief Q15 complex-by-real multiplication. + @param[in] pSrcCmplx points to complex input vector + @param[in] pSrcReal points to real input vector + @param[out] pCmplxDst points to complex output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +void arm_cmplx_mult_real_q15( + const q15_t * pSrcCmplx, + const q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples) +{ + const static uint16_t stride_cmplx_x_real_16[8] = { + 0, 0, 1, 1, 2, 2, 3, 3 + }; + q15x8_t rVec; + q15x8_t cmplxVec; + q15x8_t dstVec; + uint16x8_t strideVec; + uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q15_t in; + + /* + * stride vector for pairs of real generation + */ + strideVec = vld1q(stride_cmplx_x_real_16); + + blkCnt = blockSizeC >> 3; + + while (blkCnt > 0U) + { + cmplxVec = vld1q(pSrcCmplx); + rVec = vldrhq_gather_shifted_offset_s16(pSrcReal, strideVec); + dstVec = vqdmulhq(cmplxVec, rVec); + vst1q(pCmplxDst, dstVec); + + pSrcReal += 4; + pSrcCmplx += 8; + pCmplxDst += 8; + blkCnt --; + } + + /* Tail */ + blkCnt = (blockSizeC & 7) >> 1; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store the result in the destination buffer. */ + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_cmplx_mult_real_q15( + const q15_t * pSrcCmplx, + const q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q15_t in; /* Temporary variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + +#if defined (ARM_MATH_DSP) + q31_t inA1, inA2; /* Temporary variables to hold input data */ + q31_t inB1; /* Temporary variables to hold input data */ + q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */ + q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */ +#endif + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + +#if defined (ARM_MATH_DSP) + /* read 2 complex numbers both real and imaginary from complex input buffer */ + inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx); + inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx); + /* read 2 real values at a time from real input buffer */ + inB1 = read_q15x2_ia ((q15_t **) &pSrcReal); + + /* multiply complex number with real numbers */ +#ifndef ARM_MATH_BIG_ENDIAN + mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1)); + mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1)); + mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16)); +#else + mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1); + mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* saturate the result */ + out1 = (q15_t) __SSAT(mul1 >> 15U, 16); + out2 = (q15_t) __SSAT(mul2 >> 15U, 16); + out3 = (q15_t) __SSAT(mul3 >> 15U, 16); + out4 = (q15_t) __SSAT(mul4 >> 15U, 16); + + /* pack real and imaginary outputs and store them to destination */ + write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16)); + + inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx); + inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx); + inB1 = read_q15x2_ia ((q15_t **) &pSrcReal); + +#ifndef ARM_MATH_BIG_ENDIAN + mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1)); + mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1)); + mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16)); +#else + mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16)); + mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1); + mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + out1 = (q15_t) __SSAT(mul1 >> 15U, 16); + out2 = (q15_t) __SSAT(mul2 >> 15U, 16); + out3 = (q15_t) __SSAT(mul3 >> 15U, 16); + out4 = (q15_t) __SSAT(mul4 >> 15U, 16); + + write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16)); + write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16)); +#else + in = *pSrcReal++; + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + + in = *pSrcReal++; + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + + in = *pSrcReal++; + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + + in = *pSrcReal++; + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store the result in the destination buffer. */ + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of CmplxByRealMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c new file mode 100644 index 0000000..6904df1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c @@ -0,0 +1,204 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mult_real_q31.c + * Description: Q31 complex by real multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupCmplxMath + */ + +/** + @addtogroup CmplxByRealMult + @{ + */ + +/** + @brief Q31 complex-by-real multiplication. + @param[in] pSrcCmplx points to complex input vector + @param[in] pSrcReal points to real input vector + @param[out] pCmplxDst points to complex output vector + @param[in] numSamples number of samples in each vector + @return none + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + */ + +#if defined(ARM_MATH_MVEI) +void arm_cmplx_mult_real_q31( + const q31_t * pSrcCmplx, + const q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples) +{ + + const static uint32_t stride_cmplx_x_real_32[4] = { + 0, 0, 1, 1 + }; + q31x4_t rVec; + q31x4_t cmplxVec; + q31x4_t dstVec; + uint32x4_t strideVec; + uint32_t blockSizeC = numSamples * CMPLX_DIM; /* loop counters */ + uint32_t blkCnt; + q31_t in; + + /* + * stride vector for pairs of real generation + */ + strideVec = vld1q(stride_cmplx_x_real_32); + + /* Compute 4 complex outputs at a time */ + blkCnt = blockSizeC >> 2; + while (blkCnt > 0U) + { + cmplxVec = vld1q(pSrcCmplx); + rVec = vldrwq_gather_shifted_offset_s32(pSrcReal, strideVec); + dstVec = vqdmulhq(cmplxVec, rVec); + vst1q(pCmplxDst, dstVec); + + pSrcReal += 2; + pSrcCmplx += 4; + pCmplxDst += 4; + blkCnt --; + } + + blkCnt = (blockSizeC & 3) >> 1; + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; + /* store saturated result in 1.31 format to destination buffer */ + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_cmplx_mult_real_q31( + const q31_t * pSrcCmplx, + const q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t in; /* Temporary variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; +#if defined (ARM_MATH_DSP) + /* store saturated result in 1.31 format to destination buffer */ + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); +#else + /* store result in destination buffer. */ + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); +#endif + + in = *pSrcReal++; +#if defined (ARM_MATH_DSP) + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); +#else + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); +#endif + + in = *pSrcReal++; +#if defined (ARM_MATH_DSP) + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); +#else + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); +#endif + + in = *pSrcReal++; +#if defined (ARM_MATH_DSP) + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); +#else + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C[2 * i ] = A[2 * i ] * B[i]. */ + /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ + + in = *pSrcReal++; +#if defined (ARM_MATH_DSP) + /* store saturated result in 1.31 format to destination buffer */ + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); + *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1); +#else + /* store result in destination buffer. */ + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); + *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of CmplxByRealMult group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/ControllerFunctions/CMakeLists.txt new file mode 100644 index 0000000..da41e42 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/CMakeLists.txt @@ -0,0 +1,41 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPController) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPController STATIC) + +configLib(CMSISDSPController ${ROOT}) +configDsp(CMSISDSPController ${ROOT}) + +include(interpol) +interpol(CMSISDSPController) + +if (CONFIGTABLE AND ALLFAST) + target_compile_definitions(CMSISDSPController PUBLIC ARM_ALL_FAST_TABLES) +endif() + +target_sources(CMSISDSPController PRIVATE arm_pid_init_f32.c) +target_sources(CMSISDSPController PRIVATE arm_pid_init_q15.c) +target_sources(CMSISDSPController PRIVATE arm_pid_init_q31.c) +target_sources(CMSISDSPController PRIVATE arm_pid_reset_f32.c) +target_sources(CMSISDSPController PRIVATE arm_pid_reset_q15.c) +target_sources(CMSISDSPController PRIVATE arm_pid_reset_q31.c) + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_F32) +target_sources(CMSISDSPController PRIVATE arm_sin_cos_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_Q31) +target_sources(CMSISDSPController PRIVATE arm_sin_cos_q31.c) +endif() + + + +### Includes +target_include_directories(CMSISDSPController PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/ControllerFunctions.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/ControllerFunctions.c new file mode 100644 index 0000000..51720bc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/ControllerFunctions.c @@ -0,0 +1,37 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: ControllerFunctions.c + * Description: Combination of all controller function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_pid_init_f32.c" +#include "arm_pid_init_q15.c" +#include "arm_pid_init_q31.c" +#include "arm_pid_reset_f32.c" +#include "arm_pid_reset_q15.c" +#include "arm_pid_reset_q31.c" +#include "arm_sin_cos_f32.c" +#include "arm_sin_cos_q31.c" + diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_f32.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_f32.c new file mode 100644 index 0000000..ecb703a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_f32.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_init_f32.c + * Description: Floating-point PID Control initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Initialization function for the floating-point PID Control. + @param[in,out] S points to an instance of the PID structure + @param[in] resetStateFlag + - value = 0: no change in state + - value = 1: reset state + @return none + + @par Details + The resetStateFlag specifies whether to set state to zero or not. \n + The function computes the structure fields: A0, A1 A2 + using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) + also sets the state variables to all zeros. + */ + +void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag) +{ + /* Derived coefficient A0 */ + S->A0 = S->Kp + S->Ki + S->Kd; + + /* Derived coefficient A1 */ + S->A1 = (-S->Kp) - ((float32_t) 2.0f * S->Kd); + + /* Derived coefficient A2 */ + S->A2 = S->Kd; + + /* Check whether state needs reset or not */ + if (resetStateFlag) + { + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(float32_t)); + } + +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q15.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q15.c new file mode 100644 index 0000000..c88a3d9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q15.c @@ -0,0 +1,95 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_init_q15.c + * Description: Q15 PID Control initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Initialization function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID structure + @param[in] resetStateFlag + - value = 0: no change in state + - value = 1: reset state + @return none + + @par Details + The resetStateFlag specifies whether to set state to zero or not. \n + The function computes the structure fields: A0, A1 A2 + using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) + also sets the state variables to all zeros. + */ + +void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag) +{ + +#if defined (ARM_MATH_DSP) + + /* Derived coefficient A0 */ + S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd); + + /* Derived coefficients and pack into A1 */ + +#ifndef ARM_MATH_BIG_ENDIAN + S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16); +#else + S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16); +#endif + +#else + + q31_t temp; /* to store the sum */ + + /* Derived coefficient A0 */ + temp = S->Kp + S->Ki + S->Kd; + S->A0 = (q15_t) __SSAT(temp, 16); + + /* Derived coefficients and pack into A1 */ + temp = -(S->Kd + S->Kd + S->Kp); + S->A1 = (q15_t) __SSAT(temp, 16); + S->A2 = S->Kd; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Check whether state needs reset or not */ + if (resetStateFlag) + { + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(q15_t)); + } + +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q31.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q31.c new file mode 100644 index 0000000..1625a5f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_init_q31.c @@ -0,0 +1,92 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_init_q31.c + * Description: Q31 PID Control initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Initialization function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID structure + @param[in] resetStateFlag + - value = 0: no change in state + - value = 1: reset state + @return none + + @par Details + The resetStateFlag specifies whether to set state to zero or not. \n + The function computes the structure fields: A0, A1 A2 + using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) + also sets the state variables to all zeros. + */ + +void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag) +{ + +#if defined (ARM_MATH_DSP) + + /* Derived coefficient A0 */ + S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd); + + /* Derived coefficient A1 */ + S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp); + +#else + + q31_t temp; /* to store the sum */ + + /* Derived coefficient A0 */ + temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki); + S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd); + + /* Derived coefficient A1 */ + temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd); + S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Derived coefficient A2 */ + S->A2 = S->Kd; + + /* Check whether state needs reset or not */ + if (resetStateFlag) + { + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(q31_t)); + } + +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_f32.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_f32.c new file mode 100644 index 0000000..d839e55 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_f32.c @@ -0,0 +1,54 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_reset_f32.c + * Description: Floating-point PID Control reset function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Reset function for the floating-point PID Control. + @param[in,out] S points to an instance of the floating-point PID structure + @return none + + @par Details + The function resets the state buffer to zeros. + */ + +void arm_pid_reset_f32( + arm_pid_instance_f32 * S) +{ + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(float32_t)); +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q15.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q15.c new file mode 100644 index 0000000..256fd8c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q15.c @@ -0,0 +1,54 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_reset_q15.c + * Description: Q15 PID Control reset function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Reset function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID structure + @return none + + @par Details + The function resets the state buffer to zeros. + */ + +void arm_pid_reset_q15( + arm_pid_instance_q15 * S) +{ + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(q15_t)); +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q31.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q31.c new file mode 100644 index 0000000..2aa391c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_pid_reset_q31.c @@ -0,0 +1,54 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_pid_reset_q31.c + * Description: Q31 PID Control reset function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup PID + @{ + */ + +/** + @brief Reset function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID structure + @return none + + @par Details + The function resets the state buffer to zeros. + */ + +void arm_pid_reset_q31( + arm_pid_instance_q31 * S) +{ + /* Reset state to zero, The size will be always 3 samples */ + memset(S->state, 0, 3U * sizeof(q31_t)); +} + +/** + @} end of PID group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_f32.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_f32.c new file mode 100644 index 0000000..12a1c83 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_f32.c @@ -0,0 +1,146 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_cos_f32.c + * Description: Sine and Cosine calculation for floating-point values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupController + */ + +/** + @defgroup SinCos Sine Cosine + + Computes the trigonometric sine and cosine values using a combination of table lookup + and linear interpolation. + There are separate functions for Q31 and floating-point data types. + The input to the floating-point version is in degrees while the + fixed-point Q31 have a scaled input with the range + [-1 0.9999] mapping to [-180 +180] degrees. + + The floating point function also allows values that are out of the usual range. When this happens, the function will + take extra time to adjust the input value to the range of [-180 180]. + + The result is accurate to 5 digits after the decimal point. + + The implementation is based on table lookup using 360 values together with linear interpolation. + The steps used are: + -# Calculation of the nearest integer table index. + -# Compute the fractional portion (fract) of the input. + -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1. + -# Sine value is computed as *psinVal = y0 + (fract * (y1 - y0)). + -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1. + -# Cosine value is computed as *pcosVal = y0 + (fract * (y1 - y0)). + */ + +/** + @addtogroup SinCos + @{ + */ + +/** + @brief Floating-point sin_cos function. + @param[in] theta input value in degrees + @param[out] pSinVal points to processed sine output + @param[out] pCosVal points to processed cosine output + @return none + */ + +void arm_sin_cos_f32( + float32_t theta, + float32_t * pSinVal, + float32_t * pCosVal) +{ + float32_t fract, in; /* Temporary input, output variables */ + uint16_t indexS, indexC; /* Index variable */ + float32_t f1, f2, d1, d2; /* Two nearest output values */ + float32_t Dn, Df; + float32_t temp, findex; + + /* input x is in degrees */ + /* Scale input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */ + in = theta * 0.00277777777778f; + + if (in < 0.0f) + { + in = -in; + } + + in = in - (int32_t)in; + + /* Calculate the nearest index */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + indexS = ((uint16_t)findex) & 0x1ff; + indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff; + + /* Calculation of fractional value */ + fract = findex - (float32_t) indexS; + + /* Read two nearest values of input value from the cos & sin tables */ + f1 = sinTable_f32[indexC ]; + f2 = sinTable_f32[indexC+1]; + d1 = -sinTable_f32[indexS ]; + d2 = -sinTable_f32[indexS+1]; + + temp = (1.0f - fract) * f1 + fract * f2; + + Dn = 0.0122718463030f; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */ + Df = f2 - f1; /* delta between the values of the functions */ + + temp = Dn * (d1 + d2) - 2 * Df; + temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn); + temp = fract * temp + d1 * Dn; + + /* Calculation of cosine value */ + *pCosVal = fract * temp + f1; + + /* Read two nearest values of input value from the cos & sin tables */ + f1 = sinTable_f32[indexS ]; + f2 = sinTable_f32[indexS+1]; + d1 = sinTable_f32[indexC ]; + d2 = sinTable_f32[indexC+1]; + + temp = (1.0f - fract) * f1 + fract * f2; + + Df = f2 - f1; // delta between the values of the functions + temp = Dn * (d1 + d2) - 2 * Df; + temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn); + temp = fract * temp + d1 * Dn; + + /* Calculation of sine value */ + *pSinVal = fract * temp + f1; + + if (theta < 0.0f) + { + *pSinVal = -*pSinVal; + } +} + +/** + @} end of SinCos group + */ diff --git a/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_q31.c b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_q31.c new file mode 100644 index 0000000..84ee3d2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/ControllerFunctions/arm_sin_cos_q31.c @@ -0,0 +1,110 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_cos_q31.c + * Description: Cosine & Sine calculation for Q31 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupController + */ + +/** + @addtogroup SinCos + @{ + */ + +/** + @brief Q31 sin_cos function. + @param[in] theta scaled input value in degrees + @param[out] pSinVal points to processed sine output + @param[out] pCosVal points to processed cosine output + @return none + + The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179]. + */ + +void arm_sin_cos_q31( + q31_t theta, + q31_t * pSinVal, + q31_t * pCosVal) +{ + q31_t fract; /* Temporary input, output variables */ + uint16_t indexS, indexC; /* Index variable */ + q31_t f1, f2, d1, d2; /* Two nearest output values */ + q31_t Dn, Df; + q63_t temp; + + /* Calculate the nearest index */ + indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT; + indexC = (indexS + 128) & 0x1ff; + + /* Calculation of fractional value */ + fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8; + + /* Read two nearest values of input value from the cos & sin tables */ + f1 = sinTable_q31[indexC ]; + f2 = sinTable_q31[indexC+1]; + d1 = -sinTable_q31[indexS ]; + d2 = -sinTable_q31[indexS+1]; + + Dn = 0x1921FB5; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */ + Df = f2 - f1; /* delta between the values of the functions */ + + temp = Dn * ((q63_t)d1 + d2); + temp = temp - ((q63_t)Df << 32); + temp = (q63_t)fract * (temp >> 31); + temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn); + temp = (q63_t)fract * (temp >> 31); + temp = temp + (q63_t)d1 * Dn; + temp = (q63_t)fract * (temp >> 31); + + /* Calculation of cosine value */ + *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1); + + /* Read two nearest values of input value from the cos & sin tables */ + f1 = sinTable_q31[indexS ]; + f2 = sinTable_q31[indexS+1]; + d1 = sinTable_q31[indexC ]; + d2 = sinTable_q31[indexC+1]; + + Df = f2 - f1; // delta between the values of the functions + temp = Dn * ((q63_t)d1 + d2); + temp = temp - ((q63_t)Df << 32); + temp = (q63_t)fract * (temp >> 31); + temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn); + temp = (q63_t)fract * (temp >> 31); + temp = temp + (q63_t)d1 * Dn; + temp = (q63_t)fract * (temp >> 31); + + /* Calculation of sine value */ + *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1); +} + +/** + @} end of SinCos group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/DistanceFunctions/CMakeLists.txt new file mode 100644 index 0000000..63da550 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/CMakeLists.txt @@ -0,0 +1,20 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPDistance) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPDistance STATIC ${SRC}) + +configLib(CMSISDSPDistance ${ROOT}) +configDsp(CMSISDSPDistance ${ROOT}) + +### Includes +target_include_directories(CMSISDSPDistance PUBLIC "${DSP}/Include") +target_include_directories(CMSISDSPDistance PRIVATE ".") + + + diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/DistanceFunctions.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/DistanceFunctions.c new file mode 100644 index 0000000..7a8e062 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/DistanceFunctions.c @@ -0,0 +1,47 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all distance function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_boolean_distance.c" +#include "arm_braycurtis_distance_f32.c" +#include "arm_canberra_distance_f32.c" +#include "arm_chebyshev_distance_f32.c" +#include "arm_cityblock_distance_f32.c" +#include "arm_correlation_distance_f32.c" +#include "arm_cosine_distance_f32.c" +#include "arm_dice_distance.c" +#include "arm_euclidean_distance_f32.c" +#include "arm_hamming_distance.c" +#include "arm_jaccard_distance.c" +#include "arm_jensenshannon_distance_f32.c" +#include "arm_kulsinski_distance.c" +#include "arm_minkowski_distance_f32.c" +#include "arm_rogerstanimoto_distance.c" +#include "arm_russellrao_distance.c" +#include "arm_sokalmichener_distance.c" +#include "arm_sokalsneath_distance.c" +#include "arm_yule_distance.c" diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance.c new file mode 100644 index 0000000..b31e486 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance.c @@ -0,0 +1,78 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_linear_init_f32.c + * Description: SVM Linear Instance Initialization + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + + +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +#endif + + +#define TT +#define TF +#define FT +#define EXT _TT_TF_FT +#include "arm_boolean_distance_template.h" + +#undef TT +#undef FF +#undef TF +#undef FT +#undef EXT +#define TF +#define FT +#define EXT _TF_FT +#include "arm_boolean_distance_template.h" + +#undef TT +#undef FF +#undef TF +#undef FT +#undef EXT +#define TT +#define FF +#define TF +#define FT +#define EXT _TT_FF_TF_FT +#include "arm_boolean_distance_template.h" + +#undef TT +#undef FF +#undef TF +#undef FT +#undef EXT +#define TT +#define EXT _TT +#include "arm_boolean_distance_template.h" + diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance_template.h b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance_template.h new file mode 100644 index 0000000..e6ec25a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_boolean_distance_template.h @@ -0,0 +1,550 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_boolean_distance.c + * Description: Templates for boolean distances + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + + + +/** + * @defgroup DISTANCEF Distance Functions + * + * Computes Distances between vectors. + * + * Distance functions are useful in a lot of algorithms. + * + */ + + +/** + * @addtogroup DISTANCEF + * @{ + */ + + +/** + * @brief Elements of boolean distances + * + * Different values which are used to compute boolean distances + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @param[out] cTT cTT value + * @param[out] cTF cTF value + * @param[out] cFT cFT value + * @return None + * + */ + +#define _FUNC(A,B) A##B + +#define FUNC(EXT) _FUNC(arm_boolean_distance, EXT) + +#if defined(ARM_MATH_MVEI) + +#include "arm_common_tables.h" + +void FUNC(EXT)(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools +#ifdef TT + , uint32_t *cTT +#endif +#ifdef FF + , uint32_t *cFF +#endif +#ifdef TF + , uint32_t *cTF +#endif +#ifdef FT + , uint32_t *cFT +#endif + ) +{ + +#ifdef TT + uint32_t _ctt=0; +#endif +#ifdef FF + uint32_t _cff=0; +#endif +#ifdef TF + uint32_t _ctf=0; +#endif +#ifdef FT + uint32_t _cft=0; +#endif + uint32_t a, b, ba, bb; + int shift; + const uint8_t *pA8 = (const uint8_t *) pA; + const uint8_t *pB8 = (const uint8_t *) pB; + + /* handle vector blocks */ + uint32_t blkCnt = numberOfBools / 128; + + + + while (blkCnt > 0U) { + uint8x16_t vecA = vld1q((const uint8_t *) pA8); + uint8x16_t vecB = vld1q((const uint8_t *) pB8); + +#ifdef TT + uint8x16_t vecTT = vecA & vecB; + vecTT = vldrbq_gather_offset_u8(hwLUT, vecTT); + _ctt += vaddvq(vecTT); +#endif +#ifdef FF + uint8x16_t vecFF = vmvnq(vecA) & vmvnq(vecB); + vecFF = vldrbq_gather_offset_u8(hwLUT, vecFF); + _cff += vaddvq(vecFF); +#endif +#ifdef TF + uint8x16_t vecTF = vecA & vmvnq(vecB); + vecTF = vldrbq_gather_offset_u8(hwLUT, vecTF); + _ctf += vaddvq(vecTF); +#endif +#ifdef FT + uint8x16_t vecFT = vmvnq(vecA) & vecB; + vecFT = vldrbq_gather_offset_u8(hwLUT, vecFT); + _cft += vaddvq(vecFT); +#endif + + pA8 += 16; + pB8 += 16; + blkCnt--; + + } + + pA = (const uint32_t *)pA8; + pB = (const uint32_t *)pB8; + + blkCnt = numberOfBools & 0x7F; + while(blkCnt >= 32) + { + a = *pA++; + b = *pB++; + shift = 0; + while(shift < 32) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + b = b >> 1; + +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + shift ++; + } + + blkCnt -= 32; + } + + a = *pA++; + b = *pB++; + + a = a >> (32 - blkCnt); + b = b >> (32 - blkCnt); + + while(blkCnt > 0) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + + b = b >> 1; +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + blkCnt --; + } + +#ifdef TT + *cTT = _ctt; +#endif +#ifdef FF + *cFF = _cff; +#endif +#ifdef TF + *cTF = _ctf; +#endif +#ifdef FT + *cFT = _cft; +#endif +} + +#else +#if defined(ARM_MATH_NEON) + + +void FUNC(EXT)(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools +#ifdef TT + , uint32_t *cTT +#endif +#ifdef FF + , uint32_t *cFF +#endif +#ifdef TF + , uint32_t *cTF +#endif +#ifdef FT + , uint32_t *cFT +#endif + ) +{ +#ifdef TT + uint32_t _ctt=0; +#endif +#ifdef FF + uint32_t _cff=0; +#endif +#ifdef TF + uint32_t _ctf=0; +#endif +#ifdef FT + uint32_t _cft=0; +#endif + uint32_t nbBoolBlock; + uint32_t a,b,ba,bb; + int shift; + uint32x4_t aV, bV; +#ifdef TT + uint32x4_t cttV; +#endif +#ifdef FF + uint32x4_t cffV; +#endif +#ifdef TF + uint32x4_t ctfV; +#endif +#ifdef FT + uint32x4_t cftV; +#endif + uint8x16_t tmp; + uint16x8_t tmp2; + uint32x4_t tmp3; + uint64x2_t tmp4; +#ifdef TT + uint64x2_t tmp4tt; +#endif +#ifdef FF + uint64x2_t tmp4ff; +#endif +#ifdef TF + uint64x2_t tmp4tf; +#endif +#ifdef FT + uint64x2_t tmp4ft; +#endif + +#ifdef TT + tmp4tt = vdupq_n_u64(0); +#endif +#ifdef FF + tmp4ff = vdupq_n_u64(0); +#endif +#ifdef TF + tmp4tf = vdupq_n_u64(0); +#endif +#ifdef FT + tmp4ft = vdupq_n_u64(0); +#endif + + nbBoolBlock = numberOfBools >> 7; + while(nbBoolBlock > 0) + { + aV = vld1q_u32(pA); + bV = vld1q_u32(pB); + pA += 4; + pB += 4; + +#ifdef TT + cttV = vandq_u32(aV,bV); +#endif +#ifdef FF + cffV = vandq_u32(vmvnq_u32(aV),vmvnq_u32(bV)); +#endif +#ifdef TF + ctfV = vandq_u32(aV,vmvnq_u32(bV)); +#endif +#ifdef FT + cftV = vandq_u32(vmvnq_u32(aV),bV); +#endif + +#ifdef TT + tmp = vcntq_u8(vreinterpretq_u8_u32(cttV)); + tmp2 = vpaddlq_u8(tmp); + tmp3 = vpaddlq_u16(tmp2); + tmp4 = vpaddlq_u32(tmp3); + tmp4tt = vaddq_u64(tmp4tt, tmp4); +#endif + +#ifdef FF + tmp = vcntq_u8(vreinterpretq_u8_u32(cffV)); + tmp2 = vpaddlq_u8(tmp); + tmp3 = vpaddlq_u16(tmp2); + tmp4 = vpaddlq_u32(tmp3); + tmp4ff = vaddq_u64(tmp4ff, tmp4); +#endif + +#ifdef TF + tmp = vcntq_u8(vreinterpretq_u8_u32(ctfV)); + tmp2 = vpaddlq_u8(tmp); + tmp3 = vpaddlq_u16(tmp2); + tmp4 = vpaddlq_u32(tmp3); + tmp4tf = vaddq_u64(tmp4tf, tmp4); +#endif + +#ifdef FT + tmp = vcntq_u8(vreinterpretq_u8_u32(cftV)); + tmp2 = vpaddlq_u8(tmp); + tmp3 = vpaddlq_u16(tmp2); + tmp4 = vpaddlq_u32(tmp3); + tmp4ft = vaddq_u64(tmp4ft, tmp4); +#endif + + + nbBoolBlock --; + } + +#ifdef TT + _ctt += vgetq_lane_u64(tmp4tt, 0) + vgetq_lane_u64(tmp4tt, 1); +#endif +#ifdef FF + _cff +=vgetq_lane_u64(tmp4ff, 0) + vgetq_lane_u64(tmp4ff, 1); +#endif +#ifdef TF + _ctf += vgetq_lane_u64(tmp4tf, 0) + vgetq_lane_u64(tmp4tf, 1); +#endif +#ifdef FT + _cft += vgetq_lane_u64(tmp4ft, 0) + vgetq_lane_u64(tmp4ft, 1); +#endif + + nbBoolBlock = numberOfBools & 0x7F; + while(nbBoolBlock >= 32) + { + a = *pA++; + b = *pB++; + shift = 0; + while(shift < 32) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + b = b >> 1; + +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + shift ++; + } + + nbBoolBlock -= 32; + } + + a = *pA++; + b = *pB++; + + a = a >> (32 - nbBoolBlock); + b = b >> (32 - nbBoolBlock); + + while(nbBoolBlock > 0) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + + b = b >> 1; +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + nbBoolBlock --; + } + +#ifdef TT + *cTT = _ctt; +#endif +#ifdef FF + *cFF = _cff; +#endif +#ifdef TF + *cTF = _ctf; +#endif +#ifdef FT + *cFT = _cft; +#endif +} + +#else + +void FUNC(EXT)(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools +#ifdef TT + , uint32_t *cTT +#endif +#ifdef FF + , uint32_t *cFF +#endif +#ifdef TF + , uint32_t *cTF +#endif +#ifdef FT + , uint32_t *cFT +#endif + ) +{ + +#ifdef TT + uint32_t _ctt=0; +#endif +#ifdef FF + uint32_t _cff=0; +#endif +#ifdef TF + uint32_t _ctf=0; +#endif +#ifdef FT + uint32_t _cft=0; +#endif + uint32_t a,b,ba,bb; + int shift; + + while(numberOfBools >= 32) + { + a = *pA++; + b = *pB++; + shift = 0; + while(shift < 32) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + b = b >> 1; +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + shift ++; + } + + numberOfBools -= 32; + } + + a = *pA++; + b = *pB++; + + a = a >> (32 - numberOfBools); + b = b >> (32 - numberOfBools); + + while(numberOfBools > 0) + { + ba = a & 1; + bb = b & 1; + a = a >> 1; + b = b >> 1; + +#ifdef TT + _ctt += (ba && bb); +#endif +#ifdef FF + _cff += ((1 ^ ba) && (1 ^ bb)); +#endif +#ifdef TF + _ctf += (ba && (1 ^ bb)); +#endif +#ifdef FT + _cft += ((1 ^ ba) && bb); +#endif + numberOfBools --; + } + +#ifdef TT + *cTT = _ctt; +#endif +#ifdef FF + *cFF = _cff; +#endif +#ifdef TF + *cTF = _ctf; +#endif +#ifdef FT + *cFT = _cft; +#endif +} +#endif +#endif /* defined(ARM_MATH_MVEI) */ + + +/** + * @} end of DISTANCEF group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_braycurtis_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_braycurtis_distance_f32.c new file mode 100644 index 0000000..38c9d18 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_braycurtis_distance_f32.c @@ -0,0 +1,199 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_braycurtis_distance_f32.c + * Description: Bray-Curtis distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +/** + * @ingroup groupDistance + * @{ + */ + +/** + * @defgroup FloatDist Float Distances + * + * Distances between two vectors of float values. + */ + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Bray-Curtis distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accumDiff = 0.0f, accumSum = 0.0f; + uint32_t blkCnt; + f32x4_t a, b, c, accumDiffV, accumSumV; + + + accumDiffV = vdupq_n_f32(0.0f); + accumSumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0) { + a = vld1q(pA); + b = vld1q(pB); + + c = vabdq(a, b); + accumDiffV = vaddq(accumDiffV, c); + + c = vaddq_f32(a, b); + c = vabsq_f32(c); + accumSumV = vaddq(accumSumV, c); + + pA += 4; + pB += 4; + blkCnt--; + } + + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + c = vabdq(a, b); + accumDiffV = vaddq_m(accumDiffV, accumDiffV, c, p0); + + c = vaddq_f32(a, b); + c = vabsq_f32(c); + accumSumV = vaddq_m(accumSumV, accumSumV, c, p0); + } + + accumDiff = vecAddAcrossF32Mve(accumDiffV); + accumSum = vecAddAcrossF32Mve(accumSumV); + + /* + It is assumed that accumSum is not zero. Since it is the sum of several absolute + values it would imply that all of them are zero. It is very unlikely for long vectors. + */ + return (accumDiff / accumSum); +} +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accumDiff=0.0f, accumSum=0.0f; + uint32_t blkCnt; + float32x4_t a,b,c,accumDiffV, accumSumV; + float32x2_t accumV2; + + accumDiffV = vdupq_n_f32(0.0f); + accumSumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + a = vld1q_f32(pA); + b = vld1q_f32(pB); + + c = vabdq_f32(a,b); + accumDiffV = vaddq_f32(accumDiffV,c); + + c = vaddq_f32(a,b); + c = vabsq_f32(c); + accumSumV = vaddq_f32(accumSumV,c); + + pA += 4; + pB += 4; + blkCnt --; + } + accumV2 = vpadd_f32(vget_low_f32(accumDiffV),vget_high_f32(accumDiffV)); + accumDiff = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + accumV2 = vpadd_f32(vget_low_f32(accumSumV),vget_high_f32(accumSumV)); + accumSum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + accumDiff += fabsf(*pA - *pB); + accumSum += fabsf(*pA++ + *pB++); + blkCnt --; + } + /* + + It is assumed that accumSum is not zero. Since it is the sum of several absolute + values it would imply that all of them are zero. It is very unlikely for long vectors. + + */ + return(accumDiff / accumSum); +} + +#else +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accumDiff=0.0f, accumSum=0.0f, tmpA, tmpB; + + while(blockSize > 0) + { + tmpA = *pA++; + tmpB = *pB++; + accumDiff += fabsf(tmpA - tmpB); + accumSum += fabsf(tmpA + tmpB); + blockSize --; + } + /* + + It is assumed that accumSum is not zero. Since it is the sum of several absolute + values it would imply that all of them are zero. It is very unlikely for long vectors. + + */ + return(accumDiff / accumSum); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of FloatDist group + */ + +/** + * @} end of groupDistance group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_canberra_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_canberra_distance_f32.c new file mode 100644 index 0000000..a0ae660 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_canberra_distance_f32.c @@ -0,0 +1,220 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_canberra_distance_f32.c + * Description: Canberra distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Canberra distance between two vectors + * + * This function may divide by zero when samples pA[i] and pB[i] are both zero. + * The result of the computation will be correct. So the division per zero may be + * ignored. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum = 0.0f; + uint32_t blkCnt; + f32x4_t a, b, c, accumV; + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0) { + a = vld1q(pA); + b = vld1q(pB); + + c = vabdq(a, b); + + a = vabsq(a); + b = vabsq(b); + a = vaddq(a, b); + + /* + * May divide by zero when a and b have both the same lane at zero. + */ + a = vrecip_medprec_f32(a); + + /* + * Force result of a division by 0 to 0. It the behavior of the + * sklearn canberra function. + */ + a = vdupq_m_n_f32(a, 0.0f, vcmpeqq(a, 0.0f)); + c = vmulq(c, a); + accumV = vaddq(accumV, c); + + pA += 4; + pB += 4; + blkCnt--; + } + + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + c = vabdq(a, b); + + a = vabsq(a); + b = vabsq(b); + a = vaddq(a, b); + + /* + * May divide by zero when a and b have both the same lane at zero. + */ + a = vrecip_medprec_f32(a); + + /* + * Force result of a division by 0 to 0. It the behavior of the + * sklearn canberra function. + */ + a = vdupq_m_n_f32(a, 0.0f, vcmpeqq(a, 0.0f)); + c = vmulq(c, a); + accumV = vaddq_m(accumV, accumV, c, p0); + } + + accum = vecAddAcrossF32Mve(accumV); + + return (accum); +} + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum=0.0f, tmpA, tmpB,diff,sum; + uint32_t blkCnt; + float32x4_t a,b,c,accumV; + float32x2_t accumV2; + uint32x4_t isZeroV; + float32x4_t zeroV = vdupq_n_f32(0.0f); + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + a = vld1q_f32(pA); + b = vld1q_f32(pB); + + c = vabdq_f32(a,b); + + a = vabsq_f32(a); + b = vabsq_f32(b); + a = vaddq_f32(a,b); + isZeroV = vceqq_f32(a,zeroV); + + /* + * May divide by zero when a and b have both the same lane at zero. + */ + a = vinvq_f32(a); + + /* + * Force result of a division by 0 to 0. It the behavior of the + * sklearn canberra function. + */ + a = vreinterpretq_f32_s32(vbicq_s32(vreinterpretq_s32_f32(a),vreinterpretq_s32_u32(isZeroV))); + c = vmulq_f32(c,a); + accumV = vaddq_f32(accumV,c); + + pA += 4; + pB += 4; + blkCnt --; + } + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + tmpA = *pA++; + tmpB = *pB++; + + diff = fabsf(tmpA - tmpB); + sum = fabsf(tmpA) + fabsf(tmpB); + if ((tmpA != 0.0f) || (tmpB != 0.0f)) + { + accum += (diff / sum); + } + blkCnt --; + } + return(accum); +} + +#else +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum=0.0f, tmpA, tmpB,diff,sum; + + while(blockSize > 0) + { + tmpA = *pA++; + tmpB = *pB++; + + diff = fabsf(tmpA - tmpB); + sum = fabsf(tmpA) + fabsf(tmpB); + if ((tmpA != 0.0f) || (tmpB != 0.0f)) + { + accum += (diff / sum); + } + blockSize --; + } + return(accum); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_chebyshev_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_chebyshev_distance_f32.c new file mode 100644 index 0000000..dab84e2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_chebyshev_distance_f32.c @@ -0,0 +1,211 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_chebyshev_distance_f32.c + * Description: Chebyshev distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Chebyshev distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecA, vecB; + f32x4_t vecDiff = vdupq_n_f32(0.0); + float32_t maxValue = 0.0; + + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) { + vecA = vld1q(pA); + pA += 4; + vecB = vld1q(pB); + pB += 4; + /* + * update per-lane max. + */ + vecDiff = vmaxnmaq(vsubq(vecA, vecB), vecDiff); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecA = vldrwq_z_f32(pA, p0); + vecB = vldrwq_z_f32(pB, p0); + + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + vecDiff = vmaxnmaq_m(vecDiff, vsubq(vecA, vecB), p0); + } + /* + * Get max value across the vector + */ + return vmaxnmavq(maxValue, vecDiff); +} + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t diff=0.0f, maxVal=0.0f, tmpA, tmpB; + uint32_t blkCnt; + float32x4_t a,b,diffV, maxValV; + float32x2_t maxValV2; + + if (blockSize <= 3) + { + tmpA = *pA++; + tmpB = *pB++; + diff = fabsf(tmpA - tmpB); + maxVal = diff; + blockSize--; + + while(blockSize > 0) + { + tmpA = *pA++; + tmpB = *pB++; + diff = fabsf(tmpA - tmpB); + if (diff > maxVal) + { + maxVal = diff; + } + blockSize --; + } + } + else + { + + a = vld1q_f32(pA); + b = vld1q_f32(pB); + pA += 4; + pB += 4; + + diffV = vabdq_f32(a,b); + + blockSize -= 4; + + maxValV = diffV; + + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + a = vld1q_f32(pA); + b = vld1q_f32(pB); + + diffV = vabdq_f32(a,b); + maxValV = vmaxq_f32(maxValV, diffV); + + pA += 4; + pB += 4; + blkCnt --; + } + maxValV2 = vpmax_f32(vget_low_f32(maxValV),vget_high_f32(maxValV)); + maxValV2 = vpmax_f32(maxValV2,maxValV2); + maxVal = vget_lane_f32(maxValV2,0); + + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + tmpA = *pA++; + tmpB = *pB++; + diff = fabsf(tmpA - tmpB); + if (diff > maxVal) + { + maxVal = diff; + } + blkCnt --; + } + } + return(maxVal); +} + +#else +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t diff=0.0f, maxVal,tmpA, tmpB; + + tmpA = *pA++; + tmpB = *pB++; + diff = fabsf(tmpA - tmpB); + maxVal = diff; + blockSize--; + + while(blockSize > 0) + { + tmpA = *pA++; + tmpB = *pB++; + diff = fabsf(tmpA - tmpB); + if (diff > maxVal) + { + maxVal = diff; + } + blockSize --; + } + + return(maxVal); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cityblock_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cityblock_distance_f32.c new file mode 100644 index 0000000..f80757c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cityblock_distance_f32.c @@ -0,0 +1,155 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cityblock_distance_f32.c + * Description: Cityblock (Manhattan) distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Cityblock (Manhattan) distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + uint32_t blkCnt; + f32x4_t a, b, accumV, tempV; + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) { + a = vld1q(pA); + b = vld1q(pB); + + tempV = vabdq(a, b); + accumV = vaddq(accumV, tempV); + + pA += 4; + pB += 4; + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + tempV = vabdq(a, b); + accumV = vaddq_m(accumV, accumV, tempV, p0); + } + + return vecAddAcrossF32Mve(accumV); +} + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum=0.0f, tmpA, tmpB; + uint32_t blkCnt; + float32x4_t a,b,accumV, tempV; + float32x2_t accumV2; + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + a = vld1q_f32(pA); + b = vld1q_f32(pB); + + tempV = vabdq_f32(a,b); + accumV = vaddq_f32(accumV, tempV); + + pA += 4; + pB += 4; + blkCnt --; + } + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accumV2 = vpadd_f32(accumV2,accumV2); + accum = vget_lane_f32(accumV2,0); + + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + tmpA = *pA++; + tmpB = *pB++; + accum += fabsf(tmpA - tmpB); + + blkCnt --; + } + return(accum); +} + +#else +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum,tmpA, tmpB; + + accum = 0.0f; + while(blockSize > 0) + { + tmpA = *pA++; + tmpB = *pB++; + accum += fabsf(tmpA - tmpB); + + blockSize --; + } + + return(accum); +} +#endif +#endif + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_correlation_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_correlation_distance_f32.c new file mode 100644 index 0000000..5384983 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_correlation_distance_f32.c @@ -0,0 +1,82 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlation_distance_f32.c + * Description: Correlation distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Correlation distance between two vectors + * + * The input vectors are modified in place ! + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize) +{ + float32_t ma,mb,pwra,pwrb,dot,tmp; + + arm_mean_f32(pA, blockSize, &ma); + arm_mean_f32(pB, blockSize, &mb); + + arm_offset_f32(pA, -ma, pA, blockSize); + arm_offset_f32(pB, -mb, pB, blockSize); + + arm_power_f32(pA, blockSize, &pwra); + arm_power_f32(pB, blockSize, &pwrb); + + arm_dot_prod_f32(pA,pB,blockSize,&dot); + + dot = dot / blockSize; + pwra = pwra / blockSize; + pwrb = pwrb / blockSize; + + arm_sqrt_f32(pwra * pwrb,&tmp); + + return(1.0f - dot / tmp); + + +} + + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cosine_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cosine_distance_f32.c new file mode 100644 index 0000000..b35b5ee --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_cosine_distance_f32.c @@ -0,0 +1,68 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cosine_distance_f32.c + * Description: Cosine distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @addtogroup FloatDist + @{ + */ + + + +/** + * @brief Cosine distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t pwra,pwrb,dot,tmp; + + arm_power_f32(pA, blockSize, &pwra); + arm_power_f32(pB, blockSize, &pwrb); + + arm_dot_prod_f32(pA,pB,blockSize,&dot); + + arm_sqrt_f32(pwra * pwrb, &tmp); + return(1.0f - dot / tmp); + +} + + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_dice_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_dice_distance.c new file mode 100644 index 0000000..81533a6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_dice_distance.c @@ -0,0 +1,90 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dice_distance.c + * Description: Dice distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +extern void arm_boolean_distance_TT_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + * @ingroup groupDistance + * @{ + */ + +/** + * @defgroup BoolDist Boolean Distances + * + * Distances between two vectors of boolean values. + * + * Booleans are packed in 32 bit words. + * numberOfBooleans argument is the number of booleans and not the + * number of words. + * + * Bits are packed in big-endian mode (because of behavior of numpy packbits in + * in version < 1.17) + */ + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Dice distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,ctf=0,cft=0; + + arm_boolean_distance_TT_TF_FT(pA, pB, numberOfBools, &ctt, &ctf, &cft); + + return(1.0*(ctf + cft) / (2.0*ctt + cft + ctf)); +} + + +/** + * @} end of BoolDist group + */ + +/** + * @} end of groupDistance group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_euclidean_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_euclidean_distance_f32.c new file mode 100644 index 0000000..34df6d7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_euclidean_distance_f32.c @@ -0,0 +1,150 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_euclidean_distance_f32.c + * Description: Euclidean distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Euclidean distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t tmp; + f32x4_t a, b, accumV, tempV; + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) { + a = vld1q(pA); + b = vld1q(pB); + + tempV = vsubq(a, b); + accumV = vfmaq(accumV, tempV, tempV); + + pA += 4; + pB += 4; + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + tempV = vsubq(a, b); + accumV = vfmaq_m(accumV, tempV, tempV, p0); + } + + arm_sqrt_f32(vecAddAcrossF32Mve(accumV), &tmp); + return (tmp); +} +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum=0.0f,tmp; + uint32_t blkCnt; + float32x4_t a,b,accumV; + float32x2_t accumV2; + + accumV = vdupq_n_f32(0.0f); + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + a = vld1q_f32(pA); + b = vld1q_f32(pB); + + a = vsubq_f32(a,b); + accumV = vmlaq_f32(accumV,a,a); + pA += 4; + pB += 4; + blkCnt --; + } + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + tmp = *pA++ - *pB++; + accum += SQ(tmp); + blkCnt --; + } + arm_sqrt_f32(accum,&tmp); + return(tmp); +} + +#else +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum=0.0f,tmp; + + while(blockSize > 0) + { + tmp = *pA++ - *pB++; + accum += SQ(tmp); + blockSize --; + } + arm_sqrt_f32(accum,&tmp); + return(tmp); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_hamming_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_hamming_distance.c new file mode 100644 index 0000000..e895420 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_hamming_distance.c @@ -0,0 +1,68 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_hamming_distance.c + * Description: Hamming distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +extern void arm_boolean_distance_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTF + , uint32_t *cFT + ); + +/** + @addtogroup BoolDist + @{ + */ + + +/** + * @brief Hamming distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctf=0,cft=0; + + arm_boolean_distance_TF_FT(pA, pB, numberOfBools, &ctf, &cft); + + return(1.0*(ctf + cft) / numberOfBools); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jaccard_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jaccard_distance.c new file mode 100644 index 0000000..c708859 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jaccard_distance.c @@ -0,0 +1,70 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_jaccard_distance.c + * Description: Jaccard distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +extern void arm_boolean_distance_TT_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Jaccard distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,ctf=0,cft=0; + + arm_boolean_distance_TT_TF_FT(pA, pB, numberOfBools, &ctt, &ctf, &cft); + + return(1.0*(ctf + cft) / (ctt + cft + ctf)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jensenshannon_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jensenshannon_distance_f32.c new file mode 100644 index 0000000..9337817 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_jensenshannon_distance_f32.c @@ -0,0 +1,244 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_jensenshannon_distance_f32.c + * Description: Jensen-Shannon distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @addtogroup FloatDist + @{ + */ + +#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) +__STATIC_INLINE float32_t rel_entr(float32_t x, float32_t y) +{ + return (x * logf(x / y)); +} +#endif + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t tmp; + f32x4_t a, b, t, tmpV, accumV; + + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) { + a = vld1q(pA); + b = vld1q(pB); + + t = vaddq(a, b); + t = vmulq(t, 0.5f); + + tmpV = vmulq(a, vrecip_medprec_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vfmaq(accumV, a, tmpV); + + tmpV = vmulq_f32(b, vrecip_medprec_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vfmaq(accumV, b, tmpV); + + pA += 4; + pB += 4; + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + t = vaddq(a, b); + t = vmulq(t, 0.5f); + + tmpV = vmulq_f32(a, vrecip_medprec_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vfmaq_m_f32(accumV, a, tmpV, p0); + + tmpV = vmulq_f32(b, vrecip_medprec_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vfmaq_m_f32(accumV, b, tmpV, p0); + + } + + arm_sqrt_f32(vecAddAcrossF32Mve(accumV) / 2.0f, &tmp); + return (tmp); +} + +#else + +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + + +/** + * @brief Jensen-Shannon distance between two vectors + * + * This function is assuming that elements of second vector are > 0 + * and 0 only when the corresponding element of first vector is 0. + * Otherwise the result of the computation does not make sense + * and for speed reasons, the cases returning NaN or Infinity are not + * managed. + * + * When the function is computing x log (x / y) with x == 0 and y == 0, + * it will compute the right result (0) but a division by zero will occur + * and should be ignored in client code. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t accum, result, tmp,a,b; + uint32_t blkCnt; + float32x4_t aV,bV,t, tmpV, accumV; + float32x2_t accumV2; + + accum = 0.0f; + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + aV = vld1q_f32(pA); + bV = vld1q_f32(pB); + t = vaddq_f32(aV,bV); + t = vmulq_n_f32(t, 0.5f); + + tmpV = vmulq_f32(aV, vinvq_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vmlaq_f32(accumV, aV, tmpV); + + + tmpV = vmulq_f32(bV, vinvq_f32(t)); + tmpV = vlogq_f32(tmpV); + accumV = vmlaq_f32(accumV, bV, tmpV); + + pA += 4; + pB += 4; + + + blkCnt --; + } + + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + a = *pA; + b = *pB; + tmp = (a + b) / 2.0f; + accum += rel_entr(a, tmp); + accum += rel_entr(b, tmp); + + pA++; + pB++; + + blkCnt --; + } + + + arm_sqrt_f32(accum/2.0f, &result); + return(result); + +} + +#else + + +/** + * @brief Jensen-Shannon distance between two vectors + * + * This function is assuming that elements of second vector are > 0 + * and 0 only when the corresponding element of first vector is 0. + * Otherwise the result of the computation does not make sense + * and for speed reasons, the cases returning NaN or Infinity are not + * managed. + * + * When the function is computing x log (x / y) with x == 0 and y == 0, + * it will compute the right result (0) but a division by zero will occur + * and should be ignored in client code. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize) +{ + float32_t left, right,sum, result, tmp; + uint32_t i; + + left = 0.0f; + right = 0.0f; + for(i=0; i < blockSize; i++) + { + tmp = (pA[i] + pB[i]) / 2.0f; + left += rel_entr(pA[i], tmp); + right += rel_entr(pB[i], tmp); + } + + + sum = left + right; + arm_sqrt_f32(sum/2.0f, &result); + return(result); + +} + +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_kulsinski_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_kulsinski_distance.c new file mode 100644 index 0000000..9e5c819 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_kulsinski_distance.c @@ -0,0 +1,71 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_kulsinski_distance.c + * Description: Kulsinski distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +extern void arm_boolean_distance_TT_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + @addtogroup BoolDist + @{ + */ + + +/** + * @brief Kulsinski distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,ctf=0,cft=0; + + arm_boolean_distance_TT_TF_FT(pA, pB, numberOfBools, &ctt, &ctf, &cft); + + return(1.0*(ctf + cft - ctt + numberOfBools) / (cft + ctf + numberOfBools)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_minkowski_distance_f32.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_minkowski_distance_f32.c new file mode 100644 index 0000000..ee8b82d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_minkowski_distance_f32.c @@ -0,0 +1,168 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_minkowski_distance_f32.c + * Description: Minkowski distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @addtogroup FloatDist + @{ + */ + + +/** + * @brief Minkowski distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] order Distance order + * @param[in] blockSize Number of samples + * @return distance + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize) +{ + uint32_t blkCnt; + f32x4_t a, b, tmpV, accumV, sumV; + + sumV = vdupq_n_f32(0.0f); + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) { + a = vld1q(pA); + b = vld1q(pB); + + tmpV = vabdq(a, b); + tmpV = vpowq_f32(tmpV, vdupq_n_f32(order)); + sumV = vaddq(sumV, tmpV); + + pA += 4; + pB += 4; + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + + a = vldrwq_z_f32(pA, p0); + b = vldrwq_z_f32(pB, p0); + + tmpV = vabdq(a, b); + tmpV = vpowq_f32(tmpV, vdupq_n_f32(order)); + sumV = vaddq_m(sumV, sumV, tmpV, p0); + } + + return (powf(vecAddAcrossF32Mve(sumV), (1.0f / (float32_t) order))); +} + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize) +{ + float32_t sum; + uint32_t blkCnt; + float32x4_t sumV,aV,bV, tmpV, n; + float32x2_t sumV2; + + sum = 0.0f; + sumV = vdupq_n_f32(0.0f); + n = vdupq_n_f32(order); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + aV = vld1q_f32(pA); + bV = vld1q_f32(pB); + pA += 4; + pB += 4; + + tmpV = vabdq_f32(aV,bV); + tmpV = vpowq_f32(tmpV,n); + sumV = vaddq_f32(sumV, tmpV); + + + blkCnt --; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + sum += powf(fabsf(*pA++ - *pB++),order); + + blkCnt --; + } + + + return(powf(sum,(1.0f/order))); + +} + +#else + + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize) +{ + float32_t sum; + uint32_t i; + + sum = 0.0f; + for(i=0; i < blockSize; i++) + { + sum += powf(fabsf(pA[i] - pB[i]),order); + } + + + return(powf(sum,(1.0f/order))); + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of FloatDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_rogerstanimoto_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_rogerstanimoto_distance.c new file mode 100644 index 0000000..6d4a4c0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_rogerstanimoto_distance.c @@ -0,0 +1,73 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rogerstanimoto_distance.c + * Description: Roger Stanimoto distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +extern void arm_boolean_distance_TT_FF_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cFF + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Roger Stanimoto distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,cff=0,ctf=0,cft=0,r; + + arm_boolean_distance_TT_FF_TF_FT(pA, pB, numberOfBools, &ctt,&cff, &ctf, &cft); + + r = 2*(ctf + cft); + + return(1.0*r / (r + ctt + cff)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_russellrao_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_russellrao_distance.c new file mode 100644 index 0000000..98913a5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_russellrao_distance.c @@ -0,0 +1,70 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_russellrao_distance.c + * Description: Russell-Rao distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + + +extern void arm_boolean_distance_TT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + ); + + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Russell-Rao distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0; + + + arm_boolean_distance_TT(pA, pB, numberOfBools, &ctt); + + + return(1.0*(numberOfBools - ctt) / ((float32_t)numberOfBools)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalmichener_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalmichener_distance.c new file mode 100644 index 0000000..28f0696 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalmichener_distance.c @@ -0,0 +1,74 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sokalmichener_distance.c + * Description: Sokal-Michener distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +extern void arm_boolean_distance_TT_FF_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cFF + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Sokal-Michener distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,cff=0,cft=0,ctf=0; + float32_t r,s; + + arm_boolean_distance_TT_FF_TF_FT(pA, pB, numberOfBools, &ctt, &cff, &ctf, &cft); + + r = 2.0*(ctf + cft); + s = 1.0*(cff + ctt); + + return(r / (s+r)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalsneath_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalsneath_distance.c new file mode 100644 index 0000000..d70f958 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_sokalsneath_distance.c @@ -0,0 +1,72 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sokalsneath_distance.c + * Description: Sokal-Sneath distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +extern void arm_boolean_distance_TT_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cTF + , uint32_t *cFT + ); + + +/** + @addtogroup BoolDist + @{ + */ + +/** + * @brief Sokal-Sneath distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,cft=0,ctf=0; + float32_t r; + + arm_boolean_distance_TT_TF_FT(pA, pB, numberOfBools, &ctt, &ctf, &cft); + + r = 2.0*(ctf + cft); + + return(r / (r + ctt)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_yule_distance.c b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_yule_distance.c new file mode 100644 index 0000000..000cced --- /dev/null +++ b/Firmware/cmsis/dsp/Source/DistanceFunctions/arm_yule_distance.c @@ -0,0 +1,72 @@ + +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_yule_distance.c + * Description: Yule distance between two vectors + * + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +extern void arm_boolean_distance_TT_FF_TF_FT(const uint32_t *pA + , const uint32_t *pB + , uint32_t numberOfBools + , uint32_t *cTT + , uint32_t *cFF + , uint32_t *cTF + , uint32_t *cFT + ); + +/** + @addtogroup BoolDist + @{ + */ + + +/** + * @brief Yule distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools) +{ + uint32_t ctt=0,cff=0,ctf=0,cft=0,r; + + arm_boolean_distance_TT_FF_TF_FT(pA, pB, numberOfBools, &ctt,&cff, &ctf, &cft); + + r = 2*(ctf * cft); + + return(1.0*r / (r/2.0 + ctt * cff)); +} + + +/** + * @} end of BoolDist group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/FastMathFunctions/CMakeLists.txt new file mode 100644 index 0000000..04a0840 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/CMakeLists.txt @@ -0,0 +1,55 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPFastMath) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPFastMath STATIC) +configLib(CMSISDSPFastMath ${ROOT}) +configDsp(CMSISDSPFastMath ${ROOT}) + +include(interpol) +interpol(CMSISDSPFastMath) + +if (CONFIGTABLE AND ALLFAST) + target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_ALL_FAST_TABLES) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_F32) +target_sources(CMSISDSPFastMath PRIVATE arm_cos_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_Q15) +target_sources(CMSISDSPFastMath PRIVATE arm_cos_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_Q31) +target_sources(CMSISDSPFastMath PRIVATE arm_cos_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_F32) +target_sources(CMSISDSPFastMath PRIVATE arm_sin_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_Q15) +target_sources(CMSISDSPFastMath PRIVATE arm_sin_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_Q31) +target_sources(CMSISDSPFastMath PRIVATE arm_sin_q31.c) +endif() + +target_sources(CMSISDSPFastMath PRIVATE arm_sqrt_q15.c) +target_sources(CMSISDSPFastMath PRIVATE arm_sqrt_q31.c) +target_sources(CMSISDSPFastMath PRIVATE arm_vlog_f32.c) +target_sources(CMSISDSPFastMath PRIVATE arm_vexp_f32.c) + + +### Includes +target_include_directories(CMSISDSPFastMath PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/FastMathFunctions.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/FastMathFunctions.c new file mode 100644 index 0000000..75dec1c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/FastMathFunctions.c @@ -0,0 +1,38 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: FastMathFunctions.c + * Description: Combination of all fast math function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_cos_f32.c" +#include "arm_cos_q15.c" +#include "arm_cos_q31.c" +#include "arm_sin_f32.c" +#include "arm_sin_q15.c" +#include "arm_sin_q31.c" +#include "arm_sqrt_q15.c" +#include "arm_sqrt_q31.c" +#include "arm_vexp_f32.c" +#include "arm_vlog_f32.c" diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_f32.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_f32.c new file mode 100644 index 0000000..e9a7d7b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_f32.c @@ -0,0 +1,121 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_f32.c + * Description: Fast cosine calculation for floating-point values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @defgroup cos Cosine + + Computes the trigonometric cosine function using a combination of table lookup + and linear interpolation. There are separate functions for + Q15, Q31, and floating-point data types. + The input to the floating-point version is in radians while the + fixed-point Q15 and Q31 have a scaled input with the range + [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a + value of 2*pi wraps around to 0. + + The implementation is based on table lookup using 256 values together with linear interpolation. + The steps used are: + -# Calculation of the nearest integer table index + -# Compute the fractional portion (fract) of the table index. + -# The final result equals (1.0f-fract)*a + fract*b; + + where + 
+     a = Table[index];
+     b = Table[index+1];
+
+ */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for floating-point data. + @param[in] x input value in radians + @return cos(x) + */ +float32_t arm_cos_f32( + float32_t x) +{ + float32_t cosVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */ + in = x * 0.159154943092f + 0.25f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the cos table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + cosVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (cosVal); +} + +/** + @} end of cos group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q15.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q15.c new file mode 100644 index 0000000..3bb829c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q15.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q15.c + * Description: Fast cosine calculation for Q15 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q15 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_cos_q15( + q15_t x) +{ + q15_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint16_t)x + 0x2000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + cosVal = (q31_t) (0x8000 - fract) * a >> 16; + cosVal = (q15_t) ((((q31_t) cosVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q31.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q31.c new file mode 100644 index 0000000..8b7ff78 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_cos_q31.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q31.c + * Description: Fast cosine calculation for Q31 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup cos + @{ + */ + +/** + @brief Fast approximation to the trigonometric cosine function for Q31 data. + @param[in] x Scaled input value in radians + @return cos(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_cos_q31( + q31_t x) +{ + q31_t cosVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint32_t)x + 0x20000000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + cosVal = (q63_t) (0x80000000 - fract) * a >> 32; + cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (cosVal << 1); +} + +/** + @} end of cos group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_f32.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_f32.c new file mode 100644 index 0000000..97c6902 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_f32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_f32.c + * Description: Fast sine calculation for floating-point values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @defgroup sin Sine + + Computes the trigonometric sine function using a combination of table lookup + and linear interpolation. There are separate functions for + Q15, Q31, and floating-point data types. + The input to the floating-point version is in radians while the + fixed-point Q15 and Q31 have a scaled input with the range + [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a + value of 2*pi wraps around to 0. + + The implementation is based on table lookup using 256 values together with linear interpolation. + The steps used are: + -# Calculation of the nearest integer table index + -# Compute the fractional portion (fract) of the table index. + -# The final result equals (1.0f-fract)*a + fract*b; + + where + 
+     b = Table[index];
+     c = Table[index+1];
+
+ */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for floating-point data. + @param[in] x input value in radians. + @return sin(x) + */ + +float32_t arm_sin_f32( + float32_t x) +{ + float32_t sinVal, fract, in; /* Temporary input, output variables */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi */ + in = x * 0.159154943092f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t)FAST_MATH_TABLE_SIZE * in; + index = (uint16_t)findex; + + /* when "in" is exactly 1, we need to rotate the index down to 0 */ + if (index >= FAST_MATH_TABLE_SIZE) { + index = 0; + findex -= (float32_t)FAST_MATH_TABLE_SIZE; + } + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + sinVal = (1.0f - fract) * a + fract * b; + + /* Return output value */ + return (sinVal); +} + +/** + @} end of sin group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q15.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q15.c new file mode 100644 index 0000000..1487c21 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q15.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q15.c + * Description: Fast sine calculation for Q15 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q15 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q15_t arm_sin_q15( + q15_t x) +{ + q15_t sinVal; /* Temporary input, output variables */ + int32_t index; /* Index variable */ + q15_t a, b; /* Two nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + sinVal = (q31_t) (0x8000 - fract) * a >> 16; + sinVal = (q15_t) ((((q31_t) sinVal << 16) + ((q31_t) fract * b)) >> 16); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q31.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q31.c new file mode 100644 index 0000000..b1f1544 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sin_q31.c @@ -0,0 +1,82 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q31.c + * Description: Fast sine calculation for Q31 values + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup sin + @{ + */ + +/** + @brief Fast approximation to the trigonometric sine function for Q31 data. + @param[in] x Scaled input value in radians + @return sin(x) + + The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). + */ + +q31_t arm_sin_q31( + q31_t x) +{ + q31_t sinVal; /* Temporary variables for input, output */ + int32_t index; /* Index variable */ + q31_t a, b; /* Two nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + sinVal = (q63_t) (0x80000000 - fract) * a >> 32; + sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) fract * b)) >> 32); + + /* Return output value */ + return (sinVal << 1); +} + +/** + @} end of sin group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q15.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q15.c new file mode 100644 index 0000000..fab0a32 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q15.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q15.c + * Description: Q15 square root function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ + +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut) +{ + q31_t bits_val1; + q15_t number, temp1, var1, signBits1, half; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 17; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /* Convert to float */ + temp_float1 = number * 3.051757812500000e-005f; + /* Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 16384); + + /* 1st iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 2nd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 3rd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q31.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q31.c new file mode 100644 index 0000000..9889b13 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_sqrt_q31.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q31.c + * Description: Q31 square root function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupFastMath + */ + +/** + @addtogroup SQRT + @{ + */ + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ + +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut) +{ + q31_t bits_val1; + q31_t number, temp1, var1, signBits1, half; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 1; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /* Convert to float */ + temp_float1 = number * 4.6566128731e-010f; + /* Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 1073741824); + + /* 1st iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 2nd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 3rd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + @} end of SQRT group + */ diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vexp_f32.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vexp_f32.c new file mode 100644 index 0000000..ceb784b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vexp_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f32.c + * Description: Fast vectorized log + * + * $Date: 15. Octoboer 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM) || defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vexpq_f32(src); + vst1q(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q_f32(pSrc); + dst = vexpq_f32(src); + vst1q_f32(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else + blkCnt = blockSize; +#endif +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = expf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vlog_f32.c b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vlog_f32.c new file mode 100644 index 0000000..0317bd3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FastMathFunctions/arm_vlog_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_vlog_f32.c + * Description: Fast vectorized log + * + * $Date: 15. Octoboer 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM) || defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +void arm_vlog_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q(pSrc); + dst = vlogq_f32(src); + vst1q(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + f32x4_t src; + f32x4_t dst; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + src = vld1q_f32(pSrc); + dst = vlogq_f32(src); + vst1q_f32(pDst, dst); + + pSrc += 4; + pDst += 4; + /* Decrement loop counter */ + blkCnt--; + } + + blkCnt = blockSize & 3; +#else + blkCnt = blockSize; +#endif +#endif + + while (blkCnt > 0U) + { + /* C = log(A) */ + + /* Calculate log and store result in destination buffer. */ + *pDst++ = logf(*pSrc++); + + /* Decrement loop counter */ + blkCnt--; + } +} diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/FilteringFunctions/CMakeLists.txt new file mode 100644 index 0000000..d5d0acb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/CMakeLists.txt @@ -0,0 +1,131 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPFiltering) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPFiltering STATIC) + +include(interpol) +interpol(CMSISDSPFiltering) + +configLib(CMSISDSPFiltering ${ROOT}) +configDsp(CMSISDSPFiltering ${ROOT}) + +if (CONFIGTABLE AND ALLFAST) +target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_ALL_FAST_TABLES) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q31) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q15) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q15.c) +endif() + +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f64.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f64.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_conv_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q7.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_f32.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q31.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_q15.c) +target_sources(CMSISDSPFiltering PRIVATE arm_lms_q31.c) + + +### Includes +target_include_directories(CMSISDSPFiltering PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/FilteringFunctions.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/FilteringFunctions.c new file mode 100644 index 0000000..7ce0cdb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/FilteringFunctions.c @@ -0,0 +1,127 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: FilteringFunctions.c + * Description: Combination of all filtering function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_biquad_cascade_df1_32x64_init_q31.c" +#include "arm_biquad_cascade_df1_32x64_q31.c" +#include "arm_biquad_cascade_df1_f32.c" +#include "arm_biquad_cascade_df1_fast_q15.c" +#include "arm_biquad_cascade_df1_fast_q31.c" +#include "arm_biquad_cascade_df1_init_f32.c" +#include "arm_biquad_cascade_df1_init_q15.c" +#include "arm_biquad_cascade_df1_init_q31.c" +#include "arm_biquad_cascade_df1_q15.c" +#include "arm_biquad_cascade_df1_q31.c" +#include "arm_biquad_cascade_df2T_f32.c" +#include "arm_biquad_cascade_df2T_f64.c" +#include "arm_biquad_cascade_df2T_init_f32.c" +#include "arm_biquad_cascade_df2T_init_f64.c" +#include "arm_biquad_cascade_stereo_df2T_f32.c" +#include "arm_biquad_cascade_stereo_df2T_init_f32.c" +#include "arm_conv_f32.c" +#include "arm_conv_fast_opt_q15.c" +#include "arm_conv_fast_q15.c" +#include "arm_conv_fast_q31.c" +#include "arm_conv_opt_q15.c" +#include "arm_conv_opt_q7.c" +#include "arm_conv_partial_f32.c" +#include "arm_conv_partial_fast_opt_q15.c" +#include "arm_conv_partial_fast_q15.c" +#include "arm_conv_partial_fast_q31.c" +#include "arm_conv_partial_opt_q15.c" +#include "arm_conv_partial_opt_q7.c" +#include "arm_conv_partial_q15.c" +#include "arm_conv_partial_q31.c" +#include "arm_conv_partial_q7.c" +#include "arm_conv_q15.c" +#include "arm_conv_q31.c" +#include "arm_conv_q7.c" +#include "arm_correlate_f32.c" +#include "arm_correlate_fast_opt_q15.c" +#include "arm_correlate_fast_q15.c" +#include "arm_correlate_fast_q31.c" +#include "arm_correlate_opt_q15.c" +#include "arm_correlate_opt_q7.c" +#include "arm_correlate_q15.c" +#include "arm_correlate_q31.c" +#include "arm_correlate_q7.c" +#include "arm_fir_decimate_f32.c" +#include "arm_fir_decimate_fast_q15.c" +#include "arm_fir_decimate_fast_q31.c" +#include "arm_fir_decimate_init_f32.c" +#include "arm_fir_decimate_init_q15.c" +#include "arm_fir_decimate_init_q31.c" +#include "arm_fir_decimate_q15.c" +#include "arm_fir_decimate_q31.c" +#include "arm_fir_f32.c" +#include "arm_fir_fast_q15.c" +#include "arm_fir_fast_q31.c" +#include "arm_fir_init_f32.c" +#include "arm_fir_init_q15.c" +#include "arm_fir_init_q31.c" +#include "arm_fir_init_q7.c" +#include "arm_fir_interpolate_f32.c" +#include "arm_fir_interpolate_init_f32.c" +#include "arm_fir_interpolate_init_q15.c" +#include "arm_fir_interpolate_init_q31.c" +#include "arm_fir_interpolate_q15.c" +#include "arm_fir_interpolate_q31.c" +#include "arm_fir_lattice_f32.c" +#include "arm_fir_lattice_init_f32.c" +#include "arm_fir_lattice_init_q15.c" +#include "arm_fir_lattice_init_q31.c" +#include "arm_fir_lattice_q15.c" +#include "arm_fir_lattice_q31.c" +#include "arm_fir_q15.c" +#include "arm_fir_q31.c" +#include "arm_fir_q7.c" +#include "arm_fir_sparse_f32.c" +#include "arm_fir_sparse_init_f32.c" +#include "arm_fir_sparse_init_q15.c" +#include "arm_fir_sparse_init_q31.c" +#include "arm_fir_sparse_init_q7.c" +#include "arm_fir_sparse_q15.c" +#include "arm_fir_sparse_q31.c" +#include "arm_fir_sparse_q7.c" +#include "arm_iir_lattice_f32.c" +#include "arm_iir_lattice_init_f32.c" +#include "arm_iir_lattice_init_q15.c" +#include "arm_iir_lattice_init_q31.c" +#include "arm_iir_lattice_q15.c" +#include "arm_iir_lattice_q31.c" +#include "arm_lms_f32.c" +#include "arm_lms_init_f32.c" +#include "arm_lms_init_q15.c" +#include "arm_lms_init_q31.c" +#include "arm_lms_norm_f32.c" +#include "arm_lms_norm_init_f32.c" +#include "arm_lms_norm_init_q15.c" +#include "arm_lms_norm_init_q31.c" +#include "arm_lms_norm_q15.c" +#include "arm_lms_norm_q31.c" +#include "arm_lms_q15.c" +#include "arm_lms_q31.c" diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c new file mode 100644 index 0000000..ac2313f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c @@ -0,0 +1,94 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_32x64_init_q31.c + * Description: High precision Q31 Biquad cascade filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1_32x64 + @{ + */ + +/** + @brief Initialization function for the Q31 Biquad cascade 32x64 filter. + @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure + @param[in] numStages number of 2nd order stages in the filter + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + @par + The pState points to state variables array and size of each state variable is 1.63 format. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + The state variables are arranged in the state array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q63_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF1_32x64 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c new file mode 100644 index 0000000..2b70c2a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c @@ -0,0 +1,694 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_32x64_q31.c + * Description: High precision Q31 Biquad cascade filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter + + This function implements a high precision Biquad cascade filter which operates on + Q31 data values. The filter coefficients are in 1.31 format and the state variables + are in 1.63 format. The double precision state variables reduce quantization noise + in the filter and provide a cleaner output. + These filters are particularly useful when implementing filters in which the + singularities are close to the unit circle. This is common for low pass or high + pass filters with very low cutoff frequencies. + + The function operates on blocks of input and output data + and each call to the function processes blockSize samples through + the filter. pSrc and pDst points to input and output arrays + containing blockSize Q31 values. + + @par Algorithm + Each Biquad stage implements a second order filter using the difference equation: + 
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+
+ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. + Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. + Pay careful attention to the sign of the feedback coefficients. + Some design tools use the difference equation + 
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+
+ In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. + @par + Higher order filters are realized as a cascade of second order sections. + numStages refers to the number of second order stages used. + For example, an 8th order filter would be realized with numStages=4 second order stages. + \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" + A 9th order filter would be realized with numStages=5 second order stages + with the coefficients for one of the stages configured as a first order filter + (b2=0 and a2=0). + @par + The pState points to state variables array. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision. + The state variables are arranged in the array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ @par + The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values of data in 1.63 format. + The state variables are updated after each block of data is processed, the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + + @par Init Function + There is also an associated initialization function which performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero. + + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + For example, to statically initialize the filter instance structure use + 
+      arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter; + pState is the address of the state buffer; + pCoeffs is the address of the coefficient buffer; + postShift shift to be applied which is described in detail below. + @par Fixed-Point Behavior + Care must be taken while using Biquad Cascade 32x64 filter function. + Following issues must be considered: + - Scaling of coefficients + - Filter gain + - Overflow and saturation + + @par + Filter coefficients are represented as fractional values and + restricted to lie in the range [-1 +1). + The processing function has an additional scaling parameter postShift + which allows the filter coefficients to exceed the range [+1 -1). + At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" + This essentially scales the filter coefficients by 2^postShift. + For example, to realize the coefficients + 
+     {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the Coefficient array to: + 
+     {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1 + @par + The second thing to keep in mind is the gain through the filter. + The frequency response of a Biquad filter is a function of its coefficients. + It is possible for the gain through the filter to exceed 1.0 meaning that the + filter increases the amplitude of certain frequencies. + This means that an input signal with amplitude < 1.0 may result in an output > 1.0 + and these are saturated or overflowed based on the implementation of the filter. + To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 + or the input signal must be scaled down so that the combination of input and filter are never overflowed. + @par + The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version. + This is described in the function specific documentation below. + */ + +/** + @addtogroup BiquadCascadeDF1_32x64 + @{ + */ + +/** + @brief Processing function for the Q31 Biquad cascade 32x64 filter. + @param[in] S points to an instance of the high precision Q31 Biquad cascade filter + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Details + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). + After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to + 1.31 format by discarding the low 32 bits. + @par + Two related functions are provided in the CMSIS DSP library. + - \ref arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator. + - \ref arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" +void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + q63_t *pState = S->pState; /* state pointer initialization */ + const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q31_t Xn1, Xn2; /* Input Filter state variables */ + q63_t Yn1, Yn2; /* Output Filter state variables */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* loop counters */ + q31x4_t vecCoef, vecIn; + q63_t acc; + + do + { + uint32_t i; + /* + * Reading the coefficients + */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + vecCoef[0] = 0; + vecCoef[1] = b2; + vecCoef[2] = b1; + vecCoef[3] = b0; + /* + * Reading the state values + */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* + * append history with initial samples + */ + q31_t hist[6]; + hist[0] = 0; + hist[1] = Xn2; + hist[2] = Xn1; + hist[3] = pIn[0]; + hist[4] = pIn[1]; + hist[5] = pIn[2]; + + const q31_t *pIn1 = hist; + q31x4_t vecIn0 = *(q31x4_t *) & pIn[0]; + q31x4_t vecIn1 = *(q31x4_t *) & pIn[1]; + q31x4_t vecIn2 = *(q31x4_t *) & pIn[2]; + + i = 3; + do + { + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + vecIn = vld1q(pIn1); + pIn1 += 1; + Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef); + Yn1 = asrl(Yn1, -shift); + /* + * Store the output in the destination buffer in 1.31 format. + */ + *pOut++ = (q31_t) (Yn1 >> 32); + } + while (--i); + + sample = blockSize - 3; + pIn1 = pIn + 3; + + i = sample / 4; + while (i > 0U) + { + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef); + vecIn = vld1q(pIn1); + pIn1 += 1; + Yn1 = asrl(Yn1, -shift); + /* + * Store the output in the destination buffer in 1.31 format. + */ + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef); + vecIn0 = vld1q(pIn1); + pIn1 += 1; + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef); + vecIn1 = vld1q(pIn1); + pIn1 += 1; + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn, vecCoef); + vecIn2 = vld1q(pIn1); + pIn1 += 1; + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + /* + * Decrement the loop counter + */ + i--; + } + /* + * save input state + */ + Xn2 = vecIn[2]; + Xn1 = vecIn[3]; + + int loopRemainder = blockSize - 3 - 4 * ((blockSize - 3) / 4); + if (loopRemainder == 1) + { + /* + * remainder + */ + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + /* + * save input state + */ + Xn2 = vecIn0[2]; + Xn1 = vecIn0[3]; + + } + else if (loopRemainder == 2) + { + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + /* + * save input state + */ + Xn2 = vecIn1[2]; + Xn1 = vecIn1[3]; + + } + else if (loopRemainder == 3) + { + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn0, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn1, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + + acc = mult32x64(Yn1, a1); + acc += mult32x64(Yn2, a2); + Yn2 = Yn1; + Yn1 = acc; + Yn1 = vmlaldavaq(Yn1, vecIn2, vecCoef); + Yn1 = asrl(Yn1, -shift); + *pOut++ = (q31_t) (Yn1 >> 32); + /* + * save input state + */ + Xn2 = vecIn2[2]; + Xn1 = vecIn2[3]; + + } + + /* + * The first stage output is given as input to the second stage. + */ + pIn = pDst; + /* + * Reset to destination buffer working pointer + */ + pOut = pDst; + /* + * Store the updated state variables back into the pState array + */ + *pState++ = (q63_t) Xn1; + *pState++ = (q63_t) Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + } + while (--stage); +} +#else +void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + q63_t *pState = S->pState; /* state pointer initialization */ + const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q63_t acc; /* accumulator */ + q31_t Xn1, Xn2; /* Input Filter state variables */ + q63_t Yn1, Yn2; /* Output Filter state variables */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t Xn; /* temporary input */ + int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* loop counters */ + q31_t acc_l, acc_h; /* temporary output */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = (q31_t) (pState[0]); + Xn2 = (q31_t) (pState[1]); + Yn1 = pState[2]; + Yn2 = pState[3]; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* Variable acc hold output value that is being computed and stored in destination buffer + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* Loop unrolling: Compute 4 outputs at a time */ + sample = blockSize >> 2U; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn * b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 * b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 * b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* The result is converted to 1.63 , Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *pOut = acc_h; + + /* Read the second input into Xn2, to reuse the value */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc += b1 * x[n-1] */ + acc = (q63_t) Xn * b1; + + /* acc = b0 * x[n] */ + acc += (q63_t) Xn2 * b0; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn1 * b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn2, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn1, a2); + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Read the third input into Xn1, to reuse the value */ + Xn1 = *pIn++; + + /* The result is converted to 1.31 */ + /* Store the output in the destination buffer. */ + *(pOut + 1U) = acc_h; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn1 * b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn2 * b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn * b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* The result is converted to 1.63, Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *(pOut + 2U) = acc_h; + + /* Read the fourth input into Xn, to reuse the value */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q63_t) Xn * b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 * b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 * b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn2, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn1, a2); + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *(pOut + 3U) = acc_h; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* update output pointer */ + pOut += 4U; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0x3U; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn * b0; + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 * b1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 * b2; + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *pOut++ = acc_h; + /* Yn1 = acc << shift; */ + + /* Store the output in the destination buffer in 1.31 format. */ +/* *pOut++ = (q31_t) (acc >> (32 - shift)); */ + + /* decrement loop counter */ + sample--; + } + + /* The first stage output is given as input to the second stage. */ + pIn = pDst; + + /* Reset to destination buffer working pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = (q63_t) Xn1; + *pState++ = (q63_t) Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BiquadCascadeDF1_32x64 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c new file mode 100644 index 0000000..58c4568 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c @@ -0,0 +1,684 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_f32.c + * Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure + + This set of functions implements arbitrary order recursive (IIR) filters. + The filters are implemented as a cascade of second order Biquad sections. + The functions support Q15, Q31 and floating-point data types. + Fast version of Q15 and Q31 also available. + + The functions operate on blocks of input and output data and each call to the function + processes blockSize samples through the filter. + pSrc points to the array of input data and + pDst points to the array of output data. + Both arrays contain blockSize values. + + @par Algorithm + Each Biquad stage implements a second order filter using the difference equation: + 
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+
+ A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + \image html Biquad.gif "Single Biquad filter stage" + Coefficients b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. + Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. + Pay careful attention to the sign of the feedback coefficients. + Some design tools use the difference equation + 
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+
+ In this case the feedback coefficients a1 and a2 + must be negated when used with the CMSIS DSP Library. + + @par + Higher order filters are realized as a cascade of second order sections. + numStages refers to the number of second order stages used. + For example, an 8th order filter would be realized with numStages=4 second order stages. + \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" + A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). + + @par + The pState points to state variables array. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + The state variables are arranged in the pState array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ + @par + The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values. + The state variables are updated after each block of data is processed, the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Init Function + There is also an associated initialization function for each data type. + The initialization function performs following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numStages, pCoeffs, pState. Also set all of the values in pState to zero. + + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + The code below statically initializes each of the 3 different data type filter instance structures + 
+      arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};
+      arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};
+      arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};
+
+ where numStages is the number of Biquad stages in the filter; + pState is the address of the state buffer; + pCoeffs is the address of the coefficient buffer; + postShift shift to be applied. + + @par Fixed-Point Behavior + Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions. + Following issues must be considered: + - Scaling of coefficients + - Filter gain + - Overflow and saturation + + @par Scaling of coefficients + Filter coefficients are represented as fractional values and + coefficients are restricted to lie in the range [-1 +1). + The fixed-point functions have an additional scaling parameter postShift + which allow the filter coefficients to exceed the range [+1 -1). + At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" + This essentially scales the filter coefficients by 2^postShift. + For example, to realize the coefficients + 
+     {1.5, -0.8, 1.2, 1.6, -0.9}
+
+ set the pCoeffs array to: + 
+     {0.75, -0.4, 0.6, 0.8, -0.45}
+
+ and set postShift=1 + + @par Filter gain + The frequency response of a Biquad filter is a function of its coefficients. + It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. + This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter. + To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed. + + @par Overflow and saturation + For Q15 and Q31 versions, it is described separately as part of the function specific documentation below. + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Processing function for the floating-point Biquad cascade filter. + @param[in] S points to an instance of the floating-point Biquad cascade structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_helium_utils.h" +void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* pState pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ + float32_t lastX, lastY; /* X,Y history for tail handling */ + float32_t X0, X1, X2, X3; /* temporary input */ + f32x4_t coeffs; + f32x4_t accVec; /* accumultor vector */ + uint32_t sample, stage = S->numStages; /* loop counters */ + + do + { + /* + * Reading the pState values + */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + sample = blockSize >> 2U; + + /* + * First part of the processing with loop unrolling. Compute 4 outputs at a time. + * second loop below computes the remaining 1 to 3 samples. + */ + while (sample > 0U) + { + X0 = *pIn++; + X1 = *pIn++; + X2 = *pIn++; + X3 = *pIn++; + + coeffs = vld1q(pCoeffs); + accVec = vmulq(coeffs, X3); + + coeffs = vld1q(&pCoeffs[4]); + accVec = vfmaq(accVec, coeffs, X2); + + coeffs = vld1q(&pCoeffs[8]); + accVec = vfmaq(accVec, coeffs, X1); + + coeffs = vld1q(&pCoeffs[12]); + accVec = vfmaq(accVec, coeffs, X0); + + coeffs = vld1q(&pCoeffs[16]); + accVec = vfmaq(accVec, coeffs, Xn1); + + coeffs = vld1q(&pCoeffs[20]); + accVec = vfmaq(accVec, coeffs, Xn2); + + coeffs = vld1q(&pCoeffs[24]); + accVec = vfmaq(accVec, coeffs, Yn1); + + coeffs = vld1q(&pCoeffs[28]); + accVec = vfmaq(accVec, coeffs, Yn2); + /* + * Store the result in the accumulator in the destination buffer. + */ + vst1q(pOut, accVec); + pOut += 4; + + /* + * update recurrence + */ + Xn1 = X3; + Xn2 = X2; + Yn1 = vgetq_lane(accVec, 3); + Yn2 = vgetq_lane(accVec, 2); + /* + * decrement the loop counter + */ + sample--; + } + + /* + * If the blockSize is not a multiple of 4, + * compute any remaining output samples here. + */ + sample = blockSize & 0x3U; + if (sample) + { + /* save previous X, Y for modulo 1 length case */ + lastX = X3; + lastY = Yn1; + + X0 = *pIn++; + X1 = *pIn++; + X2 = *pIn++; + X3 = *pIn++; + + coeffs = vld1q(pCoeffs); + accVec = vmulq(coeffs, X3); + + coeffs = vld1q(&pCoeffs[4]); + accVec = vfmaq(accVec, coeffs, X2); + + coeffs = vld1q(&pCoeffs[8]); + accVec = vfmaq(accVec, coeffs, X1); + + coeffs = vld1q(&pCoeffs[12]); + accVec = vfmaq(accVec, coeffs, X0); + + coeffs = vld1q(&pCoeffs[16]); + accVec = vfmaq(accVec, coeffs, Xn1); + + coeffs = vld1q(&pCoeffs[20]); + accVec = vfmaq(accVec, coeffs, Xn2); + + coeffs = vld1q(&pCoeffs[24]); + accVec = vfmaq(accVec, coeffs, Yn1); + + coeffs = vld1q(&pCoeffs[28]); + accVec = vfmaq(accVec, coeffs, Yn2); + + if (sample == 1) + { + *pOut++ = vgetq_lane(accVec, 0); + Xn1 = X0; + Xn2 = lastX; + Yn1 = vgetq_lane(accVec, 0); + Yn2 = lastY; + } + else if (sample == 2) + { + *pOut++ = vgetq_lane(accVec, 0); + *pOut++ = vgetq_lane(accVec, 1); + Xn1 = X1; + Xn2 = X0; + Yn1 = vgetq_lane(accVec, 1); + Yn2 = vgetq_lane(accVec, 0); + } + else + { + *pOut++ = vgetq_lane(accVec, 0); + *pOut++ = vgetq_lane(accVec, 1); + *pOut++ = vgetq_lane(accVec, 2); + Xn1 = X2; + Xn2 = X1; + Yn1 = vgetq_lane(accVec, 2); + Yn2 = vgetq_lane(accVec, 1); + } + } + /* + * Store the updated state variables back into the pState array + */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + pCoeffs += sizeof(arm_biquad_mod_coef_f32) / sizeof(float32_t); + /* + * The first stage goes from the input buffer to the output buffer. + * Subsequent numStages occur in-place in the output buffer + */ + pIn = pDst; + /* + * Reset the output pointer + */ + pOut = pDst; + /* + * decrement the loop counter + */ + stage--; + } + while (stage > 0U); +} +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + + const float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* pState pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t acc; /* Simulates the accumulator */ + + uint32_t sample, stage = S->numStages; /* loop counters */ + + float32x4_t Xn; + float32x2_t Yn; + float32x2_t a; + float32x4_t b; + + float32x4_t x,tmp; + float32x2_t t; + float32x2x2_t y; + + float32_t Xns; + + while (stage > 0U) + { + /* Reading the coefficients */ + Xn = vdupq_n_f32(0.0f); + + Xn = vsetq_lane_f32(pState[0],Xn,2); + Xn = vsetq_lane_f32(pState[1],Xn,3); + Yn = vset_lane_f32(pState[2],Yn,0); + Yn = vset_lane_f32(pState[3],Yn,1); + + b = vld1q_f32(pCoeffs); + b = vrev64q_f32(b); + b = vcombine_f32(vget_high_f32(b), vget_low_f32(b)); + + a = vld1_f32(pCoeffs + 3); + a = vrev64_f32(a); + b = vsetq_lane_f32(0.0f,b,0); + pCoeffs += 5; + + /* Reading the pState values */ + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + sample = blockSize >> 2U; + + while (sample > 0U) + { + /* Read the first 4 inputs */ + x = vld1q_f32(pIn); + + pIn += 4; + + tmp = vextq_f32(Xn, x, 1); + t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp)); + t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp)); + t = vmla_f32(t, a, Yn); + t = vpadd_f32(t, t); + Yn = vext_f32(Yn, t, 1); + + tmp = vextq_f32(Xn, x, 2); + t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp)); + t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp)); + t = vmla_f32(t, a, Yn); + t = vpadd_f32(t, t); + Yn = vext_f32(Yn, t, 1); + + y.val[0] = Yn; + + tmp = vextq_f32(Xn, x, 3); + t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp)); + t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp)); + t = vmla_f32(t, a, Yn); + t = vpadd_f32(t, t); + Yn = vext_f32(Yn, t, 1); + + Xn = x; + t = vmul_f32(vget_high_f32(b), vget_high_f32(Xn)); + t = vmla_f32(t, vget_low_f32(b), vget_low_f32(Xn)); + t = vmla_f32(t, a, Yn); + t = vpadd_f32(t, t); + Yn = vext_f32(Yn, t, 1); + + y.val[1] = Yn; + + tmp = vcombine_f32(y.val[0], y.val[1]); + + /* Store the 4 outputs and increment the pointer */ + vst1q_f32(pOut, tmp); + pOut += 4; + + /* Decrement the loop counter */ + sample--; + } + + + /* If the block size is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + sample = blockSize & 0x3U; + + while (sample > 0U) + { + /* Read the input */ + Xns = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = (vgetq_lane_f32(b, 1) * vgetq_lane_f32(Xn, 2)) + + (vgetq_lane_f32(b, 2) * vgetq_lane_f32(Xn, 3)) + + (vgetq_lane_f32(b, 3) * Xns) + + (vget_lane_f32(a, 0) * vget_lane_f32(Yn, 0)) + + (vget_lane_f32(a, 1) * vget_lane_f32(Yn, 1)); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn = vsetq_lane_f32(vgetq_lane_f32(Xn, 3),Xn,2); + Xn = vsetq_lane_f32(Xns,Xn,3); + Yn = vset_lane_f32(vget_lane_f32(Yn, 1),Yn,0); + Yn = vset_lane_f32(acc,Yn,1); + + /* Decrement the loop counter */ + sample--; + + } + + vst1q_f32(pState,vcombine_f32((vget_high_f32(Xn)),(Yn))); + pState += 4; + /* Store the updated state variables back into the pState array */ + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent numStages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* Decrement the loop counter */ + stage--; + } +} + +#else +void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Source pointer */ + float32_t *pOut = pDst; /* Destination pointer */ + float32_t *pState = S->pState; /* pState pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t acc; /* Accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ + float32_t Xn; /* Temporary input */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the pState values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* Variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* Loop unrolling: Compute 4 outputs at a time */ + sample = blockSize >> 2U; + + while (sample > 0U) + { + /* Read the first input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); + + /* Store output in destination buffer. */ + *pOut++ = Yn2; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the second input */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1); + + /* Store output in destination buffer. */ + *pOut++ = Yn1; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the third input */ + Xn1 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2); + + /* Store output in destination buffer. */ + *pOut++ = Yn2; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the forth input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1); + + /* Store output in destination buffer. */ + *pOut++ = Yn1; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0x3U; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); + + /* Store output in destination buffer. */ + *pOut++ = acc; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = acc; + + /* decrement loop counter */ + sample--; + } + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent numStages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset output pointer */ + pOut = pDst; + + /* decrement loop counter */ + stage--; + + } while (stage > 0U); + +} + +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c new file mode 100644 index 0000000..1a568d7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c @@ -0,0 +1,250 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_fast_q15.c + * Description: Fast processing function for the Q15 Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Processing function for the Q15 Biquad cascade filter (fast variant). + @param[in] S points to an instance of the Q15 Biquad cascade structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process per call + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). + The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits. + @remark + Refer to \ref arm_biquad_cascade_df1_q15() for a slower implementation of this function + which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. + Use the function \ref arm_biquad_cascade_df1_init_q15() to initialize the filter structure. + */ + +void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + const q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t acc; /* Accumulator */ + q31_t in; /* Temporary variable to hold input value */ + q31_t out; /* Temporary variable to hold output value */ + q31_t b0; /* Temporary variable to hold bo value */ + q31_t b1, a1; /* Filter coefficients */ + q31_t state_in, state_out; /* Filter state variables */ + int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + do + { + /* Read the b0 and 0 coefficients using SIMD */ + b0 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the b1 and b2 coefficients using SIMD */ + b1 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the a1 and a2 coefficients using SIMD */ + a1 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the input state values from the state buffer: x[n-1], x[n-2] */ + state_in = read_q15x2_ia (&pState); + + /* Read the output state values from the state buffer: y[n-1], y[n-2] */ + state_out = read_q15x2_da (&pState); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 2 output values simultaneously. */ + /* Variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* Loop unrolling: Compute 2 outputs at a time */ + sample = blockSize >> 1U; + + while (sample > 0U) + { + + /* Read the input */ + in = read_q15x2_ia ((q15_t **) &pIn); + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUAD(b0, in); + /* acc = b1 * x[n-1] + acc += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, (in >> 16), 16); + state_out = __PKHBT(state_out >> 16, (out), 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUADX(b0, in); + /* acc0 = b1 * x[n-1] , acc0 += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + /* Store the output in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in >> 16, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = (blockSize & 0x1U); + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) + { + /* Read the input */ + in = *pIn++; + + /* out = b0 * x[n] + 0 * 0 */ +#ifndef ARM_MATH_BIG_ENDIAN + out = __SMUAD(b0, in); +#else + out = __SMUADX(b0, in); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc = b1 * x[n-1], acc += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) out; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* decrement loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent (numStages - 1) occur in-place in the output buffer */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* Store the updated state variables back into the state array */ + write_q15x2_ia(&pState, state_in); + write_q15x2_ia(&pState, state_out); + + /* Decrement loop counter */ + stage--; + + } while (stage > 0U); +} + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c new file mode 100644 index 0000000..586296b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c @@ -0,0 +1,296 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_fast_q31.c + * Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Processing function for the Q31 Biquad cascade filter (fast variant). + @param[in] S points to an instance of the Q31 Biquad cascade structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process per call + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are added to a 2.30 accumulator. + Finally, the accumulator is saturated and converted to a 1.31 result. + The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function + arm_biquad_cascade_df1_init_q31() to initialize filter structure. + @remark + Refer to \ref arm_biquad_cascade_df1_q31() for a slower implementation of this function + which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure. + Use the function \ref arm_biquad_cascade_df1_init_q31() to initialize the filter structure. + */ + +void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Source pointer */ + q31_t *pOut = pDst; /* Destination pointer */ + q31_t *pState = S->pState; /* pState pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t acc = 0; /* Accumulator */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ + q31_t Xn; /* Temporary input */ + int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the pState values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* Variables acc ... acc3 hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* Loop unrolling: Compute 4 outputs at a time */ + sample = blockSize >> 2U; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /* acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/ + mult_32x32_keep32_R(acc, b1, Xn1); + /* acc += b1 * x[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b0, Xn); + /* acc += b[2] * x[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31 , Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Read the second input */ + Xn2 = *(pIn + 1U); + + /* Store the output in the destination buffer. */ + *pOut = Yn2; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /* acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn2); + /* acc += b1 * x[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn); + /* acc += b[2] * x[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn1); + /* acc += a1 * y[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn2); + /* acc += a2 * y[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn1); + + /* The result is converted to 1.31, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Read the third input */ + Xn1 = *(pIn + 2U); + + /* Store the output in the destination buffer. */ + *(pOut + 1U) = Yn1; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /* acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn1); + /* acc += b1 * x[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn2); + /* acc += b[2] * x[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn); + /* acc += a1 * y[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31, Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Read the forth input */ + Xn = *(pIn + 3U); + + /* Store the output in the destination buffer. */ + *(pOut + 2U) = Yn2; + pIn += 4U; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn1); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn2); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn1); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + Xn2 = Xn1; + + /* The result is converted to 1.31, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Xn1 = Xn */ + Xn1 = Xn; + + /* Store the output in the destination buffer. */ + *(pOut + 3U) = Yn1; + pOut += 4U; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = (blockSize & 0x3U); + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn); + /* acc += b1 * x[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn1); + /* acc += b[2] * x[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31 */ + acc = acc << shift; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = acc; + + /* Store the output in the destination buffer. */ + *pOut++ = acc; + + /* decrement loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); +} + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c new file mode 100644 index 0000000..f6610b5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c @@ -0,0 +1,146 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_f32.c + * Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Initialization function for the floating-point Biquad cascade filter. + @param[in,out] S points to an instance of the floating-point Biquad cascade structure. + @param[in] numStages number of 2nd order stages in the filter. + @param[in] pCoeffs points to the filter coefficients. + @param[in] pState points to the state buffer. + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ + @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + @par + The pState is a pointer to state array. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + The state variables are arranged in the pState array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + + @par For MVE code, an additional buffer of modified coefficients is required. + Its size is numStages and each element of this buffer has type arm_biquad_mod_coef_f32. + So, its total size is 32*numStages float32_t elements. + + The initialization function which must be used is arm_biquad_cascade_df1_mve_init_f32. + */ + + +void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +static void generateCoefsFastBiquadF32(float32_t b0, float32_t b1, float32_t b2, float32_t a1, float32_t a2, + arm_biquad_mod_coef_f32 * newCoef) +{ + float32_t coeffs[4][8] = { + {0, 0, 0, b0, b1, b2, a1, a2}, + {0, 0, b0, b1, b2, 0, a2, 0}, + {0, b0, b1, b2, 0, 0, 0, 0}, + {b0, b1, b2, 0, 0, 0, 0, 0}, + }; + + for (int i = 0; i < 8; i++) + { + coeffs[1][i] += a1 * coeffs[0][i]; + coeffs[2][i] += a1 * coeffs[1][i] + a2 * coeffs[0][i]; + coeffs[3][i] += a1 * coeffs[2][i] + a2 * coeffs[1][i]; + + /* + * transpose + */ + newCoef->coeffs[i][0] = (float32_t) coeffs[0][i]; + newCoef->coeffs[i][1] = (float32_t) coeffs[1][i]; + newCoef->coeffs[i][2] = (float32_t) coeffs[2][i]; + newCoef->coeffs[i][3] = (float32_t) coeffs[3][i]; + } +} + +void arm_biquad_cascade_df1_mve_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + arm_biquad_mod_coef_f32 * pCoeffsMod, + float32_t * pState) +{ + arm_biquad_cascade_df1_init_f32(S, numStages, (float32_t *)pCoeffsMod, pState); + + /* Generate SIMD friendly modified coefs */ + for (int i = 0; i < numStages; i++) + { + generateCoefsFastBiquadF32(pCoeffs[0], pCoeffs[1], pCoeffs[2], pCoeffs[3], pCoeffs[4], pCoeffsMod); + pCoeffs += 5; + pCoeffsMod++; + } +} +#endif + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c new file mode 100644 index 0000000..c2e542c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c @@ -0,0 +1,96 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_q15.c + * Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Initialization function for the Q15 Biquad cascade filter. + @param[in,out] S points to an instance of the Q15 Biquad cascade structure. + @param[in] numStages number of 2nd order stages in the filter. + @param[in] pCoeffs points to the filter coefficients. + @param[in] pState points to the state buffer. + @param[in] postShift Shift to be applied to the accumulator result. Varies according to the coefficients format + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
+
+ @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 6*numStages values. + The zero coefficient between b1 and b2 facilities use of 16-bit SIMD instructions on the Cortex-M4. + @par + The state variables are stored in the array pState. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + The state variables are arranged in the pState array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + const q15_t * pCoeffs, + q15_t * pState, + int8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c new file mode 100644 index 0000000..8637889 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c @@ -0,0 +1,95 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_q31.c + * Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Initialization function for the Q31 Biquad cascade filter. + @param[in,out] S points to an instance of the Q31 Biquad cascade structure. + @param[in] numStages number of 2nd order stages in the filter. + @param[in] pCoeffs points to the filter coefficients. + @param[in] pState points to the state buffer. + @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + @par + The pState points to state variables array. + Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + The state variables are arranged in the pState array as: + 
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+
+ The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + The state array has a total length of 4*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q31_t * pState, + int8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c new file mode 100644 index 0000000..4149aac --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c @@ -0,0 +1,618 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_q15.c + * Description: Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Processing function for the Q15 Biquad cascade filter. + @param[in] S points to an instance of the Q15 Biquad cascade structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the location where the output result is written + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits. + Finally, the result is saturated to 1.15 format. + @remark + Refer to \ref arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + const q15_t *pIn = pSrc; /* input pointer initialization */ + q15_t *pOut = pDst; /* output pointer initialization */ + int shift; + uint32_t sample, stages = S->numStages; /* loop counters */ + int postShift = S->postShift; + q15x8_t bCoeffs0, bCoeffs1, bCoeffs2, bCoeffs3; /* Coefficients vector */ + q15_t *pState = S->pState; /* pState pointer initialization */ + q15x8_t inVec0; + int64_t acc; + const q15_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q31_t out, out1; + + shift = (15 - postShift) - 32; + + do { + q15_t a2 = pCoeffs[5]; + q15_t a1 = pCoeffs[4]; + + bCoeffs0 = vdupq_n_s16(0); + bCoeffs0[0] = pCoeffs[3]; // b2 + bCoeffs0[1] = pCoeffs[2]; // b1 + bCoeffs0[2] = pCoeffs[0]; // b0 + + uint32_t zero = 0; + bCoeffs1 = bCoeffs0; + bCoeffs1 = vshlcq_s16(bCoeffs1, &zero, 16); + + bCoeffs2 = bCoeffs1; + bCoeffs2 = vshlcq_s16(bCoeffs2, &zero, 16); + + bCoeffs3 = bCoeffs2; + bCoeffs3 = vshlcq_s16(bCoeffs3, &zero, 16); + + bCoeffs0[6] = a2; + bCoeffs0[7] = a1; + bCoeffs1[7] = a2; + bCoeffs1[6] = a1; + + bCoeffs2 = + vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs0, 3), (q31x4_t) bCoeffs2, 3); + bCoeffs3 = + vsetq_lane_s32(vgetq_lane_s32((q31x4_t) bCoeffs1, 3), (q31x4_t) bCoeffs3, 3); + + + /* 2 first elements are garbage, will be updated with history */ + inVec0 = vld1q(pIn - 2); + pIn += 2; + + inVec0[0] = pState[1]; + inVec0[1] = pState[0]; + inVec0[6] = pState[3]; + inVec0[7] = pState[2]; + + acc = vmlaldavq(bCoeffs0, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + inVec0[6] = out1; + acc = vmlaldavq(bCoeffs1, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + inVec0[7] = out; + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + acc = vmlaldavq(bCoeffs2, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + + inVec0[6] = out1; + acc = vmlaldavq(bCoeffs3, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + /* + * main loop + */ + sample = (blockSize - 4) >> 2U; + /* preload (efficient scheduling) */ + inVec0 = vld1q(pIn); + pIn += 4; + + /* + * Compute 4 outputs at a time. + */ + while (sample > 0U) { + + inVec0[6] = out1; + inVec0[7] = out; + + /* store */ + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + /* + * in { x0 x1 x2 x3 x4 x5 yn2 yn1 } + * x + * bCoeffs0 { b2 b1 b0 0 0 0 a2 a1 } + * + */ + acc = vmlaldavq(bCoeffs0, inVec0); + /* shift + saturate to 16 bit */ + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + inVec0[6] = out1; + + /* + * in { x0 x1 x2 x3 x4 x5 y0 yn1 } + * x + * bCoeffs1 { 0 b2 b1 b0 0 0 a1 a2 } + */ + acc = vmlaldavq(bCoeffs1, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + + inVec0[7] = out; + /* + * in { x0 x1 x2 x3 x4 x5 y0 yp1 } + * x + * bCoeffs2 { 0 0 b2 b1 b0 0 a2 a1 } + */ + acc = vmlaldavq(bCoeffs2, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + inVec0[6] = out1; + + /* + * in { x0 x1 x2 x3 x4 x5 y0 yp1 } + * x + * bCoeffs2 { 0 0 0 b2 b1 b0 a1 a2 } + */ + acc = vmlaldavq(bCoeffs3, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + inVec0 = vld1q(pIn); + pIn += 4; + + /* decrement the loop counter */ + sample--; + } + + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + /* + * Tail handling + */ + int32_t loopRemainder = blockSize & 3; + + if (loopRemainder == 3) { + inVec0[6] = out1; + inVec0[7] = out; + + acc = vmlaldavq(bCoeffs0, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + inVec0[6] = out1; + + acc = vmlaldavq(bCoeffs1, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + inVec0[7] = out; + acc = vmlaldavq(bCoeffs2, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + *pOut++ = (q15_t) out1; + + /* Store the updated state variables back into the pState array */ + pState[0] = vgetq_lane_s16(inVec0, 4); + pState[1] = vgetq_lane_s16(inVec0, 3); + pState[3] = out; + pState[2] = out1; + + } else if (loopRemainder == 2) { + inVec0[6] = out1; + inVec0[7] = out; + + acc = vmlaldavq(bCoeffs0, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + inVec0[6] = out1; + + acc = vmlaldavq(bCoeffs1, inVec0); + acc = sqrshrl_sat48(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = (q15_t) out1; + *pOut++ = (q15_t) out; + + /* Store the updated state variables back into the pState array */ + pState[0] = vgetq_lane_s16(inVec0, 3); + pState[1] = vgetq_lane_s16(inVec0, 2); + pState[3] = out1; + pState[2] = out; + } else if (loopRemainder == 1) { + + inVec0[6] = out1; + inVec0[7] = out; + + acc = vmlaldavq(bCoeffs0, inVec0); + acc = sqrshrl_sat48(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + *pOut++ = (q15_t) out1; + + /* Store the updated state variables back into the pState array */ + pState[0] = vgetq_lane_s16(inVec0, 2); + pState[1] = vgetq_lane_s16(inVec0, 1); + pState[3] = out; + pState[2] = out1; + + + } else { + /* Store the updated state variables back into the pState array */ + pState[0] = vgetq_lane_s16(inVec0, 1); + pState[1] = vgetq_lane_s16(inVec0, 0); + pState[3] = out1; + pState[2] = out; + } + + pState += 4; + pCoeffs += 6; + + /* + * The first stage goes from the input buffer to the output buffer. + * Subsequent stages occur in-place in the output buffer + */ + pIn = pDst; + /* + * Reset to destination pointer + */ + pOut = pDst; + } + while (--stages); +} +#else +void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + + +#if defined (ARM_MATH_DSP) + + const q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q31_t in; /* Temporary variable to hold input value */ + q31_t out; /* Temporary variable to hold output value */ + q31_t b0; /* Temporary variable to hold bo value */ + q31_t b1, a1; /* Filter coefficients */ + q31_t state_in, state_out; /* Filter state variables */ + q31_t acc_l, acc_h; + q63_t acc; /* Accumulator */ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ + int32_t uShift = (32 - lShift); + + do + { + /* Read the b0 and 0 coefficients using SIMD */ + b0 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the b1 and b2 coefficients using SIMD */ + b1 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the a1 and a2 coefficients using SIMD */ + a1 = read_q15x2_ia ((q15_t **) &pCoeffs); + + /* Read the input state values from the state buffer: x[n-1], x[n-2] */ + state_in = read_q15x2_ia (&pState); + + /* Read the output state values from the state buffer: y[n-1], y[n-2] */ + state_out = read_q15x2_da (&pState); + + /* Apply loop unrolling and compute 2 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + sample = blockSize >> 1U; + + /* First part of the processing with loop unrolling. Compute 2 outputs at a time. + ** a second loop below computes the remaining 1 sample. */ + while (sample > 0U) + { + + /* Read the input */ + in = read_q15x2_ia ((q15_t **) &pIn); + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUAD(b0, in); + + /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, (in >> 16), 16); + state_out = __PKHBT(state_out >> 16, (out), 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUADX(b0, in); + /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Store the output in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in >> 16, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement loop counter */ + sample--; + } + + /* If the blockSize is not a multiple of 2, compute any remaining output samples here. + ** No loop unrolling is used. */ + + if ((blockSize & 0x1U) != 0U) + { + /* Read the input */ + in = *pIn++; + + /* out = b0 * x[n] + 0 * 0 */ +#ifndef ARM_MATH_BIG_ENDIAN + out = __SMUAD(b0, in); +#else + out = __SMUADX(b0, in); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc = b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) out; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ +#ifndef ARM_MATH_BIG_ENDIAN + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); +#else + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + } + + /* The first stage goes from the input wire to the output wire. */ + /* Subsequent numStages occur in-place in the output wire */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* Store the updated state variables back into the state array */ + write_q15x2_ia (&pState, state_in); + write_q15x2_ia (&pState, state_out); + + /* Decrement loop counter */ + stage--; + + } while (stage > 0U); + +#else + + const q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q15_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q15_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ + q15_t Xn; /* temporary input */ + q63_t acc; /* Accumulator */ + int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + pCoeffs++; // skip the 0 coefficient + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* The variables acc holds the output value that is computed: + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q31_t) b0 *Xn; + + /* acc += b1 * x[n-1] */ + acc += (q31_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q31_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q31_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q31_t) a2 *Yn2; + + /* The result is converted to 1.31 */ + acc = __SSAT((acc >> shift), 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = (q15_t) acc; + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* decrement the loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c new file mode 100644 index 0000000..04413a3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c @@ -0,0 +1,510 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_q31.c + * Description: Processing function for the Q31 Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF1 + @{ + */ + +/** + @brief Processing function for the Q31 Biquad cascade filter. + @param[in] S points to an instance of the Q31 Biquad cascade structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). + After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to + 1.31 format by discarding the low 32 bits. + @remark + Refer to \ref arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter. + */ +#if defined(ARM_MATH_MVEI) + +void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + int shift; + uint32_t stages = S->numStages; /* loop counters */ + int postShift = S->postShift; + q31x4_t b0Coeffs, b1Coeffs, a0Coeffs, a1Coeffs; /* Coefficients vector */ + q31x4_t stateVec; + q31_t *pState = S->pState; /* pState pointer initialization */ + q31x4_t inVec0; + int64_t acc; + const q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q31_t out, out1; + + + shift = (postShift + 1 + 8); + + do { + /* + * Reading the coefficients + * generates : + * Fwd0 { b2 b1 b0 0 } + * Fwd1 { 0 b2 b1 b0 } + * Bwd0 { 0 0 a2 a1 } + * Bwd0 { 0 0 a1 a2 } + * (can be moved in init) + */ + b0Coeffs = vdupq_n_s32(0); + a0Coeffs = vdupq_n_s32(0); + + b0Coeffs[0] = pCoeffs[2]; // b2 + b0Coeffs[1] = pCoeffs[1]; // b1 + b0Coeffs[2] = pCoeffs[0]; // b0 + + b1Coeffs = b0Coeffs; + uint32_t zero = 0; + b1Coeffs = vshlcq_s32(b1Coeffs, &zero, 32); + + a0Coeffs[2] = pCoeffs[4]; + a0Coeffs[3] = pCoeffs[3]; + a1Coeffs = vrev64q_s32(a0Coeffs); + + + /* + * prologue consumes history samples + */ + + /* 2 first elements are garbage, will be updated with history */ + inVec0 = vld1q(pIn - 2); + + inVec0[0] = pState[1]; + inVec0[1] = pState[0]; + + stateVec[2] = pState[3]; + stateVec[3] = pState[2]; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[2] = out; + acc = vrmlaldavhq(b1Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a1Coeffs, stateVec); + + acc = lsll(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + + inVec0 = vld1q(pIn); + pIn += 2; + + /* + * main loop + */ + uint32_t sample = (blockSize - 2) >> 2U; + /* + * First part of the processing with loop unrolling. + * Compute 4 outputs at a time. + */ + while (sample > 0U) { + + stateVec[3] = out1; + + *pOut++ = out; + *pOut++ = out1; + + /* + * in { x0 x1 x2 x3 } + * x + * b0Coeffs { b2 b1 b0 0 } + */ + acc = vrmlaldavhq(b0Coeffs, inVec0); + /* + * out { 0 0 yn2 yn1 } + * x + * a0Coeffs { 0 0 a2 a1 } + */ + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[2] = out; + + /* + * in { x0 x1 x2 x3 } + * x + * b0Coeffs { 0 b2 b1 b0 } + */ + acc = vrmlaldavhq(b1Coeffs, inVec0); + /* + * out { 0 0 y0 yn1 } + * x + * a0Coeffs { 0 0 a1 a2 } + */ + acc = vrmlaldavhaq(acc, a1Coeffs, stateVec); + acc = lsll(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[3] = out1; + + inVec0 = vld1q(pIn); + pIn += 2; + + /* unrolled part */ + *pOut++ = out; + *pOut++ = out1; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[2] = out; + + acc = vrmlaldavhq(b1Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a1Coeffs, stateVec); + acc = lsll(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + inVec0 = vld1q(pIn); + pIn += 2; + + sample--; + } + + *pOut++ = out; + *pOut++ = out1; + + /* + * Tail handling + */ + int32_t loopRemainder = blockSize & 3; + if (loopRemainder == 2) { + /* + * Store the updated state variables back into the pState array + */ + pState[0] = inVec0[1]; + pState[1] = inVec0[0]; + pState[3] = out; + pState[2] = out1; + } else if (loopRemainder == 1) { + stateVec[3] = out1; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[2] = out; + + acc = vrmlaldavhq(b1Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a1Coeffs, stateVec); + acc = lsll(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[3] = out1; + + inVec0 = vld1q(pIn); + pIn += 2; + + *pOut++ = out; + *pOut++ = out1; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = out; + + /* + * Store the updated state variables back into the pState array + */ + pState[0] = inVec0[2]; + pState[1] = inVec0[1]; + pState[3] = out1; + pState[2] = out; + } else if (loopRemainder == 0) { + stateVec[3] = out1; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + stateVec[2] = out; + + acc = vrmlaldavhq(b1Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a1Coeffs, stateVec); + acc = lsll(acc, shift); + out1 = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = out; + *pOut++ = out1; + + /* + * Store the updated state variables back into the pState array + */ + pState[0] = inVec0[3]; + pState[1] = inVec0[2]; + pState[3] = out; + pState[2] = out1; + } else { + stateVec[3] = out1; + + acc = vrmlaldavhq(b0Coeffs, inVec0); + acc = vrmlaldavhaq(acc, a0Coeffs, stateVec); + acc = lsll(acc, shift); + out = (q31_t) ((acc >> 32) & 0xffffffff); + + *pOut++ = out; + + /* + * Store the updated state variables back into the pState array + */ + pState[0] = inVec0[2]; + pState[1] = inVec0[1]; + pState[3] = out1; + pState[2] = out; + } + + + pCoeffs += 5; + pState += 4; + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + } + while (--stages); +} +#else +void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Source pointer */ + q31_t *pOut = pDst; /* Destination pointer */ + q31_t *pState = S->pState; /* pState pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q63_t acc; /* Accumulator */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ + q31_t Xn; /* Temporary input */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc_l, acc_h; /* temporary output variables */ +#endif + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the pState values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* Variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + /* Loop unrolling: Compute 4 outputs at a time */ + sample = blockSize >> 2U; + + while (sample > 0U) + { + /* Read the first input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2); + + /* The result is converted to 1.31 , Yn2 variable is reused */ + acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */ + acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */ + + /* Apply shift for lower part of acc and upper part of acc */ + Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store output in destination buffer. */ + *pOut++ = Yn2; + + /* Read the second input */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = ((q63_t) b0 * Xn2) + ((q63_t) b1 * Xn) + ((q63_t) b2 * Xn1) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1); + + /* The result is converted to 1.31, Yn1 variable is reused */ + acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */ + acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */ + + /* Apply shift for lower part of acc and upper part of acc */ + Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store output in destination buffer. */ + *pOut++ = Yn1; + + /* Read the third input */ + Xn1 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = ((q63_t) b0 * Xn1) + ((q63_t) b1 * Xn2) + ((q63_t) b2 * Xn) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2); + + /* The result is converted to 1.31, Yn2 variable is reused */ + acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */ + acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */ + + /* Apply shift for lower part of acc and upper part of acc */ + Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store output in destination buffer. */ + *pOut++ = Yn2; + + /* Read the forth input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1); + + /* The result is converted to 1.31, Yn1 variable is reused */ + acc_l = (acc ) & 0xffffffff; /* Calc lower part of acc */ + acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */ + + /* Apply shift for lower part of acc and upper part of acc */ + Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store output in destination buffer. */ + *pOut++ = Yn1; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0x3U; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2); + + /* The result is converted to 1.31 */ + acc = acc >> lShift; + + /* Store output in destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = (q31_t) acc; + + /* decrement loop counter */ + sample--; + } + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent numStages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset output pointer */ + pOut = pDst; + + /* decrement loop counter */ + stage--; + + } while (stage > 0U); + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BiquadCascadeDF1 group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c new file mode 100644 index 0000000..287a4dd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c @@ -0,0 +1,652 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_f32.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters +*/ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + @param[in] S points to an instance of the filter data structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_helium_utils.h" + +void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* source pointer */ + float32_t Xn0, Xn1; + float32_t acc0, acc1; + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + uint32_t sample, stage = S->numStages; /* loop counters */ + float32_t const *pCurCoeffs = /* coefficient pointer */ + (float32_t const *) S->pCoeffs; + f32x4_t b0Coeffs, a0Coeffs; /* Coefficients vector */ + f32x4_t b1Coeffs, a1Coeffs; /* Modified coef. vector */ + f32x4_t state; /* State vector */ + + do + { + /* + * temporary carry variable for feeding the 128-bit vector shifter + */ + uint32_t tmp = 0; + /* + * Reading the coefficients + * b0Coeffs = {b0, b1, b2, x} + * a0Coeffs = { x, a1, a2, x} + */ + b0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 2; + a0Coeffs = vld1q(pCurCoeffs); pCurCoeffs+= 3; + /* + * Reading the state values + * state = {d1, d2, 0, 0} + */ + state = *(f32x4_t *) pState; + state = vsetq_lane(0.0f, state, 2); + state = vsetq_lane(0.0f, state, 3); + + /* b1Coeffs = {b0, b1, b2, x} */ + /* b1Coeffs = { x, x, a1, a2} */ + b1Coeffs = vshlcq_s32(b0Coeffs, &tmp, 32); + a1Coeffs = vshlcq_s32(a0Coeffs, &tmp, 32); + + sample = blockSize / 2; + + /* unrolled 2 x */ + while (sample > 0U) + { + /* + * Read 2 inputs + */ + Xn0 = *pIn++; + Xn1 = *pIn++; + + /* + * 1st half: + * / acc0 \ / b0 \ / d1 \ / 0 \ + * | d1 | = | b1 | * Xn0 + | d2 | + | a1 | x acc0 + * | d2 | | b2 | | 0 | | a2 | + * \ x / \ x / \ x / \ x / + */ + + state = vfmaq(state, b0Coeffs, Xn0); + acc0 = vgetq_lane(state, 0); + state = vfmaq(state, a0Coeffs, acc0); + state = vsetq_lane(0.0f, state, 3); + + /* + * 2nd half: + * same as 1st half, but all vector elements shifted down. + * / x \ / x \ / x \ / x \ + * | acc1 | = | b0 | * Xn1 + | d1 | + | 0 | x acc1 + * | d1 | | b1 | | d2 | | a1 | + * \ d2 / \ b2 / \ 0 / \ a2 / + */ + + state = vfmaq(state, b1Coeffs, Xn1); + acc1 = vgetq_lane(state, 1); + state = vfmaq(state, a1Coeffs, acc1); + + /* move d1, d2 up + clearing */ + /* expect dual move or long move */ + state = vsetq_lane(vgetq_lane(state, 2), state, 0); + state = vsetq_lane(vgetq_lane(state, 3), state, 1); + state = vsetq_lane(0.0f, state, 2); + /* + * Store the results in the destination buffer. + */ + *pOut++ = acc0; + *pOut++ = acc1; + /* + * decrement the loop counter + */ + sample--; + } + + /* + * tail handling + */ + if (blockSize & 1) + { + Xn0 = *pIn++; + state = vfmaq(state, b0Coeffs, Xn0); + acc0 = vgetq_lane(state, 0); + + state = vfmaq(state, a0Coeffs, acc0); + *pOut++ = acc0; + *pState++ = vgetq_lane(state, 1); + *pState++ = vgetq_lane(state, 2); + } + else + { + *pState++ = vgetq_lane(state, 0); + *pState++ = vgetq_lane(state, 1); + } + /* + * The current stage output is given as the input to the next stage + */ + pIn = pDst; + /* + * Reset the output working pointer + */ + pOut = pDst; + /* + * decrement the loop counter + */ + stage--; + } + while (stage > 0U); +} +#else +#if defined(ARM_MATH_NEON) + +void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t acc1; /* accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1; /* temporary input */ + float32_t d1, d2; /* state variables */ + uint32_t sample, stageCnt,stage = S->numStages; /* loop counters */ + + + float32x4_t XnV, YnV; + float32x4x2_t dV; + float32x4_t zeroV = vdupq_n_f32(0.0); + float32x4_t t1,t2,t3,t4,b1V,b2V,a1V,a2V,s; + + /* Loop unrolling. Compute 4 outputs at a time */ + stageCnt = stage >> 2; + + while (stageCnt > 0U) + { + /* Reading the coefficients */ + t1 = vld1q_f32(pCoeffs); + pCoeffs += 4; + + t2 = vld1q_f32(pCoeffs); + pCoeffs += 4; + + t3 = vld1q_f32(pCoeffs); + pCoeffs += 4; + + t4 = vld1q_f32(pCoeffs); + pCoeffs += 4; + + b1V = vld1q_f32(pCoeffs); + pCoeffs += 4; + + b2V = vld1q_f32(pCoeffs); + pCoeffs += 4; + + a1V = vld1q_f32(pCoeffs); + pCoeffs += 4; + + a2V = vld1q_f32(pCoeffs); + pCoeffs += 4; + + /* Reading the state values */ + dV = vld2q_f32(pState); + + sample = blockSize; + + while (sample > 0U) { + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + XnV = vdupq_n_f32(*pIn++); + + s = dV.val[0]; + YnV = s; + + s = vextq_f32(zeroV,dV.val[0],3); + YnV = vmlaq_f32(YnV, t1, s); + + s = vextq_f32(zeroV,dV.val[0],2); + YnV = vmlaq_f32(YnV, t2, s); + + s = vextq_f32(zeroV,dV.val[0],1); + YnV = vmlaq_f32(YnV, t3, s); + + YnV = vmlaq_f32(YnV, t4, XnV); + + s = vextq_f32(XnV,YnV,3); + + dV.val[0] = vmlaq_f32(dV.val[1], s, b1V); + dV.val[0] = vmlaq_f32(dV.val[0], YnV, a1V); + + dV.val[1] = vmulq_f32(s, b2V); + dV.val[1] = vmlaq_f32(dV.val[1], YnV, a2V); + + *pOut++ = vgetq_lane_f32(YnV, 3) ; + + sample--; + } + + /* Store the updated state variables back into the state array */ + vst2q_f32(pState,dV); + pState += 8; + + /* The current stage output is given as the input to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stageCnt--; + + } + + /* Tail */ + stageCnt = stage & 3; + + while (stageCnt > 0U) + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn1 = *pIn++; + + /* y[n] = b0 * x[n] + d1 */ + acc1 = (b0 * Xn1) + d1; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1 = ((b1 * Xn1) + (a1 * acc1)) + d2; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2 = (b2 * Xn1) + (a2 * acc1); + + /* decrement the loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1; + *pState++ = d2; + + /* The current stage output is given as the input to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stageCnt--; + } +} +#else +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Source pointer */ + float32_t *pOut = pDst; /* Destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t acc1; /* Accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1; /* Temporary input */ + float32_t d1, d2; /* State variables */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + a2 = pCoeffs[4]; + + /* Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + pCoeffs += 5U; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 16 outputs at a time */ + sample = blockSize >> 4U; + + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + +/* 1 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 2 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 3 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 4 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 5 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 6 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 7 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 8 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 9 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 10 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 11 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 12 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 13 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 14 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 15 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 16 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0xFU; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) { + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + + /* decrement loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1; + pState[1] = d2; + + pState += 2U; + + /* The current stage output is given as the input to the next stage */ + pIn = pDst; + + /* Reset the output working pointer */ + pOut = pDst; + + /* decrement loop counter */ + stage--; + + } while (stage > 0U); + +} +LOW_OPTIMIZATION_EXIT +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c new file mode 100644 index 0000000..35d401d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c @@ -0,0 +1,443 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_f64.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters +*/ + +/** + @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure + + This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. + The filters are implemented as a cascade of second order Biquad sections. + These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. + Only floating-point data is supported. + + This function operate on blocks of input and output data and each call to the function + processes blockSize samples through the filter. + pSrc points to the array of input data and + pDst points to the array of output data. + Both arrays contain blockSize values. + + @par Algorithm + Each Biquad stage implements a second order filter using the difference equation: + 
+     y[n] = b0 * x[n] + d1
+     d1 = b1 * x[n] + a1 * y[n] + d2
+     d2 = b2 * x[n] + a2 * y[n]
+
+ where d1 and d2 represent the two state values. + @par + A Biquad filter using a transposed Direct Form II structure is shown below. + \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" + Coefficients b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. + Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. + Pay careful attention to the sign of the feedback coefficients. + Some design tools flip the sign of the feedback coefficients: + 
+     y[n] = b0 * x[n] + d1;
+     d1 = b1 * x[n] - a1 * y[n] + d2;
+     d2 = b2 * x[n] - a2 * y[n];
+
+ In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. + @par + Higher order filters are realized as a cascade of second order sections. + numStages refers to the number of second order stages used. + For example, an 8th order filter would be realized with numStages=4 second order stages. + A 9th order filter would be realized with numStages=5 second order stages with the + coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). + @par + pState points to the state variable array. + Each Biquad stage has 2 state variables d1 and d2. + The state variables are arranged in the pState array as: + 
+      {d11, d12, d21, d22, ...}
+
+ where d1x refers to the state variables for the first Biquad and + d2x refers to the state variables for the second Biquad. + The state array has a total length of 2*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + @par + The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. + The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. + That is why the Direct Form I structure supports Q15 and Q31 data types. + The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2. + Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. + The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + + @par Init Functions + There is also an associated initialization function. + The initialization function performs following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numStages, pCoeffs, pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + For example, to statically initialize the instance structure use + 
+      arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
+      arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+
+ where numStages is the number of Biquad stages in the filter; + pState is the address of the state buffer. + pCoeffs is the address of the coefficient buffer; +*/ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + @param[in] S points to an instance of the filter data structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_df2T_f64( + const arm_biquad_cascade_df2T_instance_f64 * S, + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize) +{ + + const float64_t *pIn = pSrc; /* Source pointer */ + float64_t *pOut = pDst; /* Destination pointer */ + float64_t *pState = S->pState; /* State pointer */ + const float64_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float64_t acc1; /* Accumulator */ + float64_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float64_t Xn1; /* Temporary input */ + float64_t d1, d2; /* State variables */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + a2 = pCoeffs[4]; + + /* Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + pCoeffs += 5U; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 16 outputs at a time */ + sample = blockSize >> 4U; + + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + +/* 1 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + + +/* 2 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 3 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 4 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 5 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 6 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 7 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 8 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 9 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 10 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 11 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 12 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 13 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 14 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 15 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + +/* 16 */ + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0xFU; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) { + Xn1 = *pIn++; + + acc1 = b0 * Xn1 + d1; + + d1 = b1 * Xn1 + d2; + d1 += a1 * acc1; + + d2 = b2 * Xn1; + d2 += a2 * acc1; + + *pOut++ = acc1; + + /* decrement loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1; + pState[1] = d2; + + pState += 2U; + + /* The current stage output is given as the input to the next stage */ + pIn = pDst; + + /* Reset the output working pointer */ + pOut = pDst; + + /* decrement loop counter */ + stage--; + + } while (stage > 0U); + +} +LOW_OPTIMIZATION_EXIT + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c new file mode 100644 index 0000000..107914e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c @@ -0,0 +1,211 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_init_f32.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + @param[in,out] S points to an instance of the filter data structure. + @param[in] numStages number of 2nd order stages in the filter. + @param[in] pCoeffs points to the filter coefficients. + @param[in] pState points to the state buffer. + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order + in the not Neon version. + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ + @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + + For Neon version, this array is bigger. If numstages = 4x + y, then the array has size: + 32*x + 5*y + and it must be initialized using the function + arm_biquad_cascade_df2T_compute_coefs_f32 which is taking the + standard array coefficient as parameters. + + But, an array of 8*numstages is a good approximation. + + Then, the initialization can be done with: + 
+                   arm_biquad_cascade_df2T_init_f32(&SNeon, nbCascade, neonCoefs, stateNeon);
+                   arm_biquad_cascade_df2T_compute_coefs_f32(&SNeon,nbCascade,coefs);
+
+ + @par In this example, neonCoefs is a bigger array of size 8 * numStages. + coefs is the standard array: + + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ + + @par + The pState is a pointer to state array. + Each Biquad stage has 2 state variables d1, and d2. + The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + The state array has a total length of 2*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +#if defined(ARM_MATH_NEON) +/* + +Must be called after initializing the biquad instance. +pCoeffs has size 5 * nbCascade +Whereas the pCoeffs for the init has size (4*4 + 4*4)* nbCascade + +So this pCoeffs is the one which would be used for the not Neon version. +The pCoeffs passed in init is bigger than the one for the not Neon version. + +*/ +void arm_biquad_cascade_df2T_compute_coefs_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs) +{ + uint8_t cnt; + float32_t *pDstCoeffs; + float32_t b0[4],b1[4],b2[4],a1[4],a2[4]; + + pDstCoeffs = (float32_t*)S->pCoeffs; + + cnt = numStages >> 2; + while(cnt > 0) + { + for(int i=0;i<4;i++) + { + b0[i] = pCoeffs[0]; + b1[i] = pCoeffs[1]; + b2[i] = pCoeffs[2]; + a1[i] = pCoeffs[3]; + a2[i] = pCoeffs[4]; + pCoeffs += 5; + } + + /* Vec 1 */ + *pDstCoeffs++ = 0; + *pDstCoeffs++ = b0[1]; + *pDstCoeffs++ = b0[2]; + *pDstCoeffs++ = b0[3]; + + /* Vec 2 */ + *pDstCoeffs++ = 0; + *pDstCoeffs++ = 0; + *pDstCoeffs++ = b0[1] * b0[2]; + *pDstCoeffs++ = b0[2] * b0[3]; + + /* Vec 3 */ + *pDstCoeffs++ = 0; + *pDstCoeffs++ = 0; + *pDstCoeffs++ = 0; + *pDstCoeffs++ = b0[1] * b0[2] * b0[3]; + + /* Vec 4 */ + *pDstCoeffs++ = b0[0]; + *pDstCoeffs++ = b0[0] * b0[1]; + *pDstCoeffs++ = b0[0] * b0[1] * b0[2]; + *pDstCoeffs++ = b0[0] * b0[1] * b0[2] * b0[3]; + + /* Vec 5 */ + *pDstCoeffs++ = b1[0]; + *pDstCoeffs++ = b1[1]; + *pDstCoeffs++ = b1[2]; + *pDstCoeffs++ = b1[3]; + + /* Vec 6 */ + *pDstCoeffs++ = b2[0]; + *pDstCoeffs++ = b2[1]; + *pDstCoeffs++ = b2[2]; + *pDstCoeffs++ = b2[3]; + + /* Vec 7 */ + *pDstCoeffs++ = a1[0]; + *pDstCoeffs++ = a1[1]; + *pDstCoeffs++ = a1[2]; + *pDstCoeffs++ = a1[3]; + + /* Vec 8 */ + *pDstCoeffs++ = a2[0]; + *pDstCoeffs++ = a2[1]; + *pDstCoeffs++ = a2[2]; + *pDstCoeffs++ = a2[3]; + + cnt--; + } + + cnt = numStages & 0x3; + while(cnt > 0) + { + *pDstCoeffs++ = *pCoeffs++; + *pDstCoeffs++ = *pCoeffs++; + *pDstCoeffs++ = *pCoeffs++; + *pDstCoeffs++ = *pCoeffs++; + *pDstCoeffs++ = *pCoeffs++; + cnt--; + } + +} +#endif + +void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 2 * numStages */ + memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c new file mode 100644 index 0000000..2ab272f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c @@ -0,0 +1,86 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_init_f64.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + @param[in,out] S points to an instance of the filter data structure + @param[in] numStages number of 2nd order stages in the filter + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + @par + The pState is a pointer to state array. + Each Biquad stage has 2 state variables d1, and d2. + The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + The state array has a total length of 2*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + const float64_t * pCoeffs, + float64_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 2 * numStages */ + memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float64_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c new file mode 100644 index 0000000..426efef --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c @@ -0,0 +1,420 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_stereo_df2T_f32.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters +*/ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + @param[in] S points to an instance of the filter data structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_helium_utils.h" + +void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + uint32_t sample, stage = S->numStages; /* loop counters */ + float32_t scratch[6]; + uint32x4_t loadIdxVec; + f32x4_t aCoeffs, bCoeffs; + f32x4_t stateVec0, stateVec1; + f32x4_t inVec; + uint32_t startIdx = 0; + + /* + * {0, 1, 0, 1} generator + */ + loadIdxVec = viwdupq_u32(&startIdx, 2, 1); + + /* + * scratch top clearing + * layout : [d1a d1b d2a d2b 0 0] + */ + scratch[4] = 0.0f; + scratch[5] = 0.0f; + + do + { + /* + * Reading the coefficients + */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* + * aCoeffs = {a1 a1 a2 a2} + */ + aCoeffs = vdupq_n_f32(a1); + aCoeffs = vsetq_lane(a2, aCoeffs, 2); + aCoeffs = vsetq_lane(a2, aCoeffs, 3); + + /* + * bCoeffs = {b1 b1 b2 b2} + */ + bCoeffs = vdupq_n_f32(b1); + bCoeffs = vsetq_lane(b2, bCoeffs, 2); + bCoeffs = vsetq_lane(b2, bCoeffs, 3); + + /* + * Reading the state values + * Save into scratch + */ + *(f32x4_t *) scratch = *(f32x4_t *) pState; + + sample = blockSize; + + while (sample > 0U) + { + /* + * step 1 + * + * 0 | acc1a = xn1a * b0 + d1a + * 1 | acc1b = xn1b * b0 + d1b + * 2 | acc1a = xn1a * b0 + d1a + * 3 | acc1b = xn1b * b0 + d1b + */ + /* + * load {d1a, d1b, d1a, d1b} + */ + stateVec0 = vldrwq_gather_shifted_offset((uint32_t const *) scratch, loadIdxVec); + /* + * load {in0 in1 in0 in1} + */ + inVec = vldrwq_gather_shifted_offset((uint32_t const *) pIn, loadIdxVec); + + stateVec0 = vfmaq(stateVec0, inVec, b0); + *pOut++ = vgetq_lane(stateVec0, 0); + *pOut++ = vgetq_lane(stateVec0, 1); + + /* + * step 2 + * + * 0 | d1a = b1 * xn1a + a1 * acc1a + d2a + * 1 | d1b = b1 * xn1b + a1 * acc1b + d2b + * 2 | d2a = b2 * xn1a + a2 * acc1a + 0 + * 3 | d2b = b2 * xn1b + a2 * acc1b + 0 + */ + + /* + * load {d2a, d2b, 0, 0} + */ + stateVec1 = *(f32x4_t *) & scratch[2]; + stateVec1 = vfmaq(stateVec1, stateVec0, aCoeffs); + stateVec1 = vfmaq(stateVec1, inVec, bCoeffs); + *(f32x4_t *) scratch = stateVec1; + + pIn = pIn + 2; + sample--; + } + + /* + * Store the updated state variables back into the state array + */ + vst1q(pState, stateVec1); + pState += 4; + + /* + * The current stage output is given as the input to the next stage + */ + pIn = pDst; + /* + * Reset the output working pointer + */ + pOut = pDst; + /* + * decrement the loop counter + */ + stage--; + } + while (stage > 0U); +} + +#else +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Source pointer */ + float32_t *pOut = pDst; /* Destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t acc1a, acc1b; /* Accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1a, Xn1b; /* Temporary input */ + float32_t d1a, d2a, d1b, d2b; /* State variables */ + uint32_t sample, stage = S->numStages; /* Loop counters */ + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + a2 = pCoeffs[4]; + + /* Reading the state values */ + d1a = pState[0]; + d2a = pState[1]; + d1b = pState[2]; + d2b = pState[3]; + + pCoeffs += 5U; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 8 outputs at a time */ + sample = blockSize >> 3U; + + while (sample > 0U) { + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + +/* 1 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 2 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 3 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 4 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 5 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 6 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 7 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + +/* 8 */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + + /* decrement loop counter */ + sample--; + } + + /* Loop unrolling: Compute remaining outputs */ + sample = blockSize & 0x7U; + +#else + + /* Initialize blkCnt with number of samples */ + sample = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (sample > 0U) { + /* Read the input */ + Xn1a = *pIn++; /* Channel a */ + Xn1b = *pIn++; /* Channel b */ + + /* y[n] = b0 * x[n] + d1 */ + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1a; + *pOut++ = acc1b; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + + /* decrement loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1a; + pState[1] = d2a; + + pState[2] = d1b; + pState[3] = d2b; + + pState += 4U; + + /* The current stage output is given as the input to the next stage */ + pIn = pDst; + + /* Reset the output working pointer */ + pOut = pDst; + + /* Decrement the loop counter */ + stage--; + + } while (stage > 0U); + +} +LOW_OPTIMIZATION_EXIT +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c new file mode 100644 index 0000000..d398f18 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c @@ -0,0 +1,86 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_stereo_df2T_init_f32.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup BiquadCascadeDF2T + @{ + */ + +/** + @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + @param[in,out] S points to an instance of the filter data structure. + @param[in] numStages number of 2nd order stages in the filter. + @param[in] pCoeffs points to the filter coefficients. + @param[in] pState points to the state buffer. + @return none + + @par Coefficient and State Ordering + The coefficients are stored in the array pCoeffs in the following order: + 
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+
+ @par + where b1x and a1x are the coefficients for the first stage, + b2x and a2x are the coefficients for the second stage, + and so on. The pCoeffs array contains a total of 5*numStages values. + @par + The pState is a pointer to state array. + Each Biquad stage has 2 state variables d1, and d2 for each channel. + The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + The state array has a total length of 2*numStages values. + The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of BiquadCascadeDF2T group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_f32.c new file mode 100644 index 0000000..973434b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_f32.c @@ -0,0 +1,964 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_f32.c + * Description: Convolution of floating-point sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup Conv Convolution + + Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector. + Convolution is similar to correlation and is frequently used in filtering and data analysis. + The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types. + The library also provides fast versions of the Q15 and Q31 functions. + + @par Algorithm + Let a[n] and b[n] be sequences of length srcALen and + srcBLen samples respectively. Then the convolution + 
+     c[n] = a[n] * b[n]
+
+ @par + is defined as + \image html ConvolutionEquation.gif + @par + Note that c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2. + pSrcA points to the first input vector of length srcALen and + pSrcB points to the second input vector of length srcBLen. + The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result. + @par + Conceptually, when two signals a[n] and b[n] are convolved, + the signal b[n] slides over a[n]. + For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together. + @par + Note that convolution is a commutative operation: + 
+     a[n] * b[n] = b[n] * a[n].
+
+ @par + This means that switching the A and B arguments to the convolution functions has no effect. + + @par Fixed-Point Behavior + Convolution requires summing up a large number of intermediate products. + As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + Refer to the function specific documentation below for further details of the particular algorithm used. + + @par Fast Versions + Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires + the input signals should be scaled down to avoid intermediate overflows. + + @par Opt Versions + Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of floating-point sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + + +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + const float32_t *pIn1 = pSrcA; /* inputA pointer */ + const float32_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const float32_t *pX; + const float32_t *pY; + const float32_t *pA; + const float32_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + uint32_t vddupStartIdx = 3; + uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1); + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 3; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is incrementing for successive accumulators + * Y pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pB += 2; + } + + for (; i < block1; i++) + { + uint32_t count = i + 1; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pB++; + } + + for (i = 0; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + float32_t acc0 = 0; + float32_t acc1 = 0; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, count); + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + float32_t acc = 0; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } + + for (i = block3; i >= 2; i -= 2) + { + int32_t count = i; + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for successive accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst++ = acc0; + *pDst++ = acc1; + pA += 2; + } + for (; i >= 1; i--) + { + int32_t count = i; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_F32(acc, pX, pY, count); + + *pDst++ = acc; + pA++; + } +} +#else +void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + +#if defined(ARM_MATH_DSP) + + const float32_t *pIn1; /* InputA pointer */ + const float32_t *pIn2; /* InputB pointer */ + float32_t *pOut = pDst; /* Output pointer */ + const float32_t *px; /* Intermediate inputA pointer */ + const float32_t *py; /* Intermediate inputB pointer */ + const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + float32_t acc0, acc1, acc2, acc3, c0; /* Accumulators */ +#if !defined(ARM_MATH_NEON) + float32_t x0, x1, x2, x3; /* Temporary variables to hold state and coefficient values */ +#endif +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ +#if defined(ARM_MATH_NEON) + float32x4_t vec1; + float32x4_t vec2; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); +#endif /* #if defined(ARM_MATH_NEON) */ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + accum = vdup_n_f32(0); + + /* Compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + + while (k > 0U) + { + vec1 = vld1q_f32(px); + vec2 = vld1q_f32(py-3); + vec2 = vrev64q_f32(vec2); + vec2 = vcombine_f32(vget_high_f32(vec2), vget_low_f32(vec2)); + + res = vmlaq_f32(res,vec1, vec2); + + /* Increment pointers */ + px += 4; + py -= 4; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count & 3; +#else + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#endif /* #if defined(ARM_MATH_NEON) */ + +#else /* defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + +#if defined(ARM_MATH_NEON) + float32x4_t c; + float32x4_t x1v; + float32x4_t x2v; + float32x4_t x; + float32x4_t res = vdupq_n_f32(0) ; +#endif /* #if defined(ARM_MATH_NEON) */ + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + +#if defined(ARM_MATH_NEON) + res = vdupq_n_f32(0) ; + + x1v = vld1q_f32(px); + x2v = vld1q_f32(px+4); + + do + { + c = vld1q_f32(py-3); + + px += 4; + x = x1v; + res = vmlaq_n_f32(res,x,c[3]); + + x = vextq_f32(x1v,x2v,1); + + res = vmlaq_n_f32(res,x,c[2]); + + x = vextq_f32(x1v,x2v,2); + + res = vmlaq_n_f32(res,x,c[1]); + + x = vextq_f32(x1v,x2v,3); + + res = vmlaq_n_f32(res,x,c[0]); + + py -= 4; + + x1v = x2v ; + x2v = vld1q_f32(px+4); + + } while (--k); + + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3; + + x1v = vld1q_f32(px); + px += 4; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + res = vmlaq_n_f32(res,x1v,c0); + + /* Reuse the present samples for the next MAC */ + x1v[0] = x1v[1]; + x1v[1] = x1v[2]; + x1v[2] = x1v[3]; + + x1v[3] = *(px++); + + /* Decrement the loop counter */ + k--; + } + + acc0 = res[0]; + acc1 = res[1]; + acc2 = res[2]; + acc3 = res[3]; + +#else + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *(px + 3U); + px += 4U; + + /* Perform the multiply-accumulate */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } +#endif /* #if defined(ARM_MATH_NEON) */ + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined (ARM_MATH_NEON)*/ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + +#if defined (ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + /* First part of the processing. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3U; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#endif /* if defined (ARM_MATH_NEON) */ +#else + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + /* Loop unrolling: Compute 4 outputs at a time */ + k = blockSize3 >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t res = vdupq_n_f32(0) ; + float32x4_t x = vdupq_n_f32(0) ; + float32x4_t y = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0) ; + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py-3); + + y = vrev64q_f32(y); + y = vcombine_f32(vget_high_f32(y), vget_low_f32(y)); + + res = vmlaq_f32(res,x,y); + + px += 4 ; + py -= 4 ; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + +#else + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } +#endif /* #if defined (ARM_MATH_NEON) */ + + /* Loop unrolling: Compute remaining outputs */ + k = blockSize3 % 0x4U; +#else + + /* Initialize blkCnt with number of samples */ + k = blockSize3; + +#endif /* #if defined (ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL)*/ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const float32_t *pIn1 = pSrcA; /* InputA pointer */ + const float32_t *pIn2 = pSrcB; /* InputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < (srcALen + srcBLen - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ( pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_opt_q15.c new file mode 100644 index 0000000..ed2aea9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_opt_q15.c @@ -0,0 +1,366 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_opt_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2 + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q31_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q15.c new file mode 100644 index 0000000..3102a05 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q15.c @@ -0,0 +1,663 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1 + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results + but provides only a single guard bit. There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT((acc0 >> 15), (acc1 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc2 >> 15), (acc3 >> 15), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT((acc1 >> 15), (acc0 >> 15), 16)); + write_q15x2_ia (&pOut, __PKHBT((acc3 >> 15), (acc2 >> 15), 16)); +#endif /*#ifndef ARM_MATH_BIG_ENDIAN*/ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q31.c new file mode 100644 index 0000000..e87eddc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_fast_q31.c @@ -0,0 +1,558 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q31.c + * Description: Fast Q31 Convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are accumulated in a 32-bit register in 2.30 format. + Finally, the accumulator is saturated and converted to a 1.31 result. + @par + The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + @remark + Refer to \ref arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +} + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q15.c new file mode 100644 index 0000000..6ad34cd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q15.c @@ -0,0 +1,362 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + @remark + Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function. + */ + +void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q63_t acc0; /* Accumulators */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q7.c new file mode 100644 index 0000000..fb9e2ec --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_opt_q7.c @@ -0,0 +1,360 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. + */ + +void arm_conv_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */ + q15_t x4; /* Temporary input variable */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* Loop counter */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + const q7_t *px; /* Temporary input1 pointer */ + q7_t *pOut = pDst; /* Output pointer */ + q7_t out0, out1, out2, out3; /* Temporary variables */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* points to smaller length sequence */ + px = pIn2 + srcBLen - 1; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) *px--; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pIn2 pointer */ + pIn2 = (q7_t *) py; + + pScr2 = py; + + /* Actual convolution process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2U; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + out0 = (q7_t) (__SSAT(acc0 >> 7U, 8)); + out1 = (q7_t) (__SSAT(acc1 >> 7U, 8)); + out2 = (q7_t) (__SSAT(acc2 >> 7U, 8)); + out3 = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + } + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + acc0 += (*pScr1++ * *pScr2++); + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_f32.c new file mode 100644 index 0000000..34c77f2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_f32.c @@ -0,0 +1,672 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_f32.c + * Description: Partial convolution of floating-point sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup PartialConv Partial Convolution + + Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated. + Each function has two additional arguments. + firstIndex specifies the starting index of the subset of output samples. + numPoints is the number of output samples to compute. + The function computes the output in the range + [firstIndex, ..., firstIndex+numPoints-1]. + The output array pDst contains numPoints values. + + The allowable range of output indices is [0 srcALen+srcBLen-2]. + If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR. + Otherwise the functions return ARM_MATH_SUCCESS. + \note Refer to \ref arm_conv_f32() for details on fixed point behavior. + + @par Fast Versions + Fast versions are supported for Q31 and Q15 of partial convolution. + Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires + the input signals should be scaled down to avoid intermediate overflows. + + @par Opt Versions + Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of partial convolution + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of floating-point sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + */ + +arm_status arm_conv_partial_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ +#if defined (ARM_MATH_DSP) + const float32_t *pIn1 = pSrcA; /* InputA pointer */ + const float32_t *pIn2 = pSrcB; /* InputB pointer */ + float32_t *pOut = pDst; /* Output pointer */ + const float32_t *px; /* Intermediate inputA pointer */ + const float32_t *py; /* Intermediate inputB pointer */ + const float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum; /* Accumulator */ + uint32_t j, k, count, blkCnt, check; + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t acc0, acc1, acc2, acc3; /* Accumulator */ + float32_t x0, x1, x2, x3, c0; /* Temporary variables */ +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0; + blockSize2 = ((int32_t) check - blockSize3) - (blockSize1 + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + firstIndex; + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc1; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else +/* alternate version for CM0_FAMILY */ + + const float32_t *pIn1 = pSrcA; /* InputA pointer */ + const float32_t *pIn2 = pSrcB; /* InputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ( pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + + /* Set status as ARM_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#endif /* defined(ARM_MATH_DSP) */ +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c new file mode 100644 index 0000000..7166b57 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c @@ -0,0 +1,387 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_opt_q15.c + * Description: Fast Q15 Partial convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2 + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +arm_status arm_conv_partial_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q31_t acc0; /* Accumulator */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + arm_status status; /* Status variable */ + q31_t x1; /* Temporary variables to hold state and coefficient values */ + q31_t y1; /* State variables */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulator */ + q31_t x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y2; /* State variables */ +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* Actual convolution process starts here */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc3 = __SMLADX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numPoints & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numPoints; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read two samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q15.c new file mode 100644 index 0000000..535fbc7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q15.c @@ -0,0 +1,700 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_q15.c + * Description: Fast Q15 Partial convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + @remark + Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +arm_status arm_conv_partial_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary input variables */ + uint32_t j, k, count, blkCnt, check; + int32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2 - 1U; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py + 1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD (x0, c0, acc0); + acc1 = __SMLAD (x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulate */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD (x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(acc0 >> 15, acc1 >> 15, 16)); + write_q15x2_ia (&pOut, __PKHBT(acc2 >> 15, acc3 >> 15, 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(acc1 >> 15, acc0 >> 15, 16)); + write_q15x2_ia (&pOut, __PKHBT(acc3 >> 15, acc2 >> 15, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + sum += ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = count >> 2U; + + while ((j > 0U) && (blockSize3 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q31.c new file mode 100644 index 0000000..fe2e2bb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_fast_q31.c @@ -0,0 +1,618 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_q31.c + * Description: Fast Q31 Partial convolution + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. + */ + +arm_status arm_conv_partial_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum; /* Accumulators */ + uint32_t j, k, count, check, blkCnt; + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read y[srcBLen - 2] sample */ + c0 = *py--; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read y[srcBLen - 4] sample */ + c0 = *py--; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py--))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q15.c new file mode 100644 index 0000000..21999d2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q15.c @@ -0,0 +1,386 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_opt_q15.c + * Description: Partial convolution of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function. + */ + +arm_status arm_conv_partial_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q63_t acc0; /* Accumulator */ + q31_t x1; /* Temporary variables to hold state and coefficient values */ + q31_t y1; /* State variables */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + const q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* Loop counter */ + uint32_t tapCnt; /* Loop count */ + arm_status status; /* Status variable */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulator */ + q31_t x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y2; /* State variables */ +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* Actual convolution process starts here */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numPoints & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numPoints; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read two samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + + acc0 = __SMLALD(x1, y1, acc0); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q7.c new file mode 100644 index 0000000..811f386 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_opt_q7.c @@ -0,0 +1,390 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_opt_q7.c + * Description: Partial convolution of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + */ + +arm_status arm_conv_partial_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ + q15_t x4; /* Temporary input variable */ + const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* Loop counter */ + const q7_t *px; /* Temporary input1 pointer */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + arm_status status; + q7_t *pOut = pDst; /* Output pointer */ + q7_t out0, out1, out2, out3; /* Temporary variables */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2; + + /* points to smaller length sequence */ + px = pIn2 + srcBLen - 1; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + x4 = (q15_t) *px--; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) *px--; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pIn2 pointer */ + pIn2 = (q7_t *) py; + + pScr2 = py; + + pOut = pDst + firstIndex; + + pScratch1 += firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialize temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumulators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + out0 = (q7_t) (__SSAT(acc0 >> 7U, 8)); + out1 = (q7_t) (__SSAT(acc1 >> 7U, 8)); + out2 = (q7_t) (__SSAT(acc2 >> 7U, 8)); + out3 = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + } + + blkCnt = (numPoints) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read two samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + acc0 = __SMLAD(x1, y1, acc0); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + return (status); +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q15.c new file mode 100644 index 0000000..eb24641 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q15.c @@ -0,0 +1,752 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q15.c + * Description: Partial convolution of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function. + @remark + Refer to \ref arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers. + */ + +arm_status arm_conv_partial_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + +#if defined (ARM_MATH_DSP) + + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt, check; + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2 - 1U; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLALDX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLALDX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLALDX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLALDX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLALDX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLALDX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD (x0, c0, acc0); + acc1 = __SMLALD (x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD (x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = count >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else /* #if defined (ARM_MATH_DSP) */ + + const q15_t *pIn1 = pSrcA; /* InputA pointer */ + const q15_t *pIn2 = pSrcB; /* InputB pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q31_t) pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U); + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q31.c new file mode 100644 index 0000000..cfb1ad0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q31.c @@ -0,0 +1,633 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q31.c + * Description: Partial convolution of Q31 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q31 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_fast_q31() for a faster but less precise implementation of this function. + */ + +arm_status arm_conv_partial_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + +#if defined(ARM_MATH_DSP) + + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q63_t sum; /* Accumulator */ + uint32_t j, k, count, blkCnt, check; + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc0, acc1, acc2; /* Accumulator */ + q31_t x0, x1, x2, c0; /* Temporary variables */ +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * (*py--); + + /* x[1] * y[srcBLen - 2] */ + sum += (q63_t) *px++ * (*py--); + + /* x[2] * y[srcBLen - 3] */ + sum += (q63_t) *px++ * (*py--); + + /* x[3] * y[srcBLen - 4] */ + sum += (q63_t) *px++ * (*py--); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * (*py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unroll over blkCnt */ + blkCnt = blockSize2 / 3; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1] samples */ + x0 = *px++; + x1 = *px++; + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py); + + /* Read x[2] sample */ + x2 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += (q63_t) x0 * c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += (q63_t) x1 * c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += (q63_t) x2 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *(py - 1U); + + /* Read x[3] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += (q63_t) x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += (q63_t) x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += (q63_t) x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *(py - 2U); + + /* Read x[4] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += (q63_t) x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += (q63_t) x0 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += (q63_t) x1 * c0; + + + px += 3U; + + py -= 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += (q63_t) x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += (q63_t) x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += (q63_t) x2 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 >> 31); + *pOut++ = (q31_t) (acc1 >> 31); + *pOut++ = (q31_t) (acc2 >> 31); + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) *px++ * (*py--); + sum += (q63_t) *px++ * (*py--); + sum += (q63_t) *px++ * (*py--); + sum += (q63_t) *px++ * (*py--); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else +/* alternate version for CM0_FAMILY */ + + const q31_t *pIn1 = pSrcA; /* InputA pointer */ + const q31_t *pIn2 = pSrcB; /* InputB pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q31_t) (sum >> 31U); + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q7.c new file mode 100644 index 0000000..bcfc51e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_partial_q7.c @@ -0,0 +1,752 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q7.c + * Description: Partial convolution of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup PartialConv + @{ + */ + +/** + @brief Partial convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written + @param[in] firstIndex is the first output sample to start with + @param[in] numPoints is the number of output points to be computed + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2] + + @remark + Refer to \ref arm_conv_partial_opt_q7() for a faster implementation of this function. + */ + +arm_status arm_conv_partial_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + +#if ARM_MATH_DSP + + const q7_t *pIn1; /* InputA pointer */ + const q7_t *pIn2; /* InputB pointer */ + q7_t *pOut = pDst; /* Output pointer */ + const q7_t *px; /* Intermediate inputA pointer */ + const q7_t *py; /* Intermediate inputB pointer */ + const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum; /* Accumulator */ + uint32_t j, k, count, blkCnt, check; /* Loop counters */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t input1, input2; /* Temporary input variables */ + q15_t in1, in2; /* Temporary input variables */ + q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */ +#endif + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 1] , y[srcBLen - 2] */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[0] * y[srcBLen - 1] */ + /* x[1] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 3] , y[srcBLen - 4] */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[2] * y[srcBLen - 3] */ + /* x[3] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + pSrc1 = pIn1 + firstIndex - srcBLen + 1; + } + else + { + pSrc1 = pIn1; + } + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read y[srcBLen - 2] sample */ + c1 = *py--; + + /* Read x[3] sample */ + x3 = *px++; + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *px++; + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read y[srcBLen - 4] sample */ + c1 = *py--; + + /* Read x[5] sample */ + x1 = *px++; + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *px++; + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q31_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q31_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q31_t) x2 * c0); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += ((q31_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8)); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pSrc1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else +/* alternate version for CM0_FAMILY */ + + const q7_t *pIn1 = pSrcA; /* InputA pointer */ + const q7_t *pIn2 = pSrcB; /* InputB pointer */ + q31_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + arm_status status; /* Status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q15_t) pIn1[j] * (pIn2[i - j])); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U); + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} + +/** + @} end of PartialConv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q15.c new file mode 100644 index 0000000..c088b8a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q15.c @@ -0,0 +1,858 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + + @remark + Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function. + @remark + Refer to \ref arm_conv_opt_q15() for a faster implementation of this function using scratch buffers. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + +void arm_conv_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1 = pSrcA; /* inputA pointer */ + const q15_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const q15_t *pX; + const q15_t *pY; + const q15_t *pA; + const q15_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + + + uint16x8_t decrIdxVec = vddupq_u16(7, 1); + + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 7; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count); + *pDst++ = (q15_t) acc0; + *pDst++ = (q15_t) acc1; + pB += 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count); + *pDst++ = (q15_t) acc; + pB++; + } + + for (i = 0; i <= block2 - 4; i += 4) + { + uint32_t count = srcBLen; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + int64_t acc2 = 0LL; + int64_t acc3 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, count); + *pDst++ = (q15_t) acc0; + *pDst++ = (q15_t) acc1; + *pDst++ = (q15_t) acc2; + *pDst++ = (q15_t) acc3; + + pA += 4; + } + for (; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, count); + *pDst++ = (q15_t) acc0; + *pDst++ = (q15_t) acc1; + + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count); + *pDst++ = (q15_t) acc; + pA++; + } + + for (i = block3; i >= 1; i -= 2) + { + uint32_t count = i; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count); + *pDst++ = (q15_t) acc0; + *pDst++ = (q15_t) acc1; + pA += 2; + } + for (; i >= 1; i--) + { + uint32_t count = i; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q15(acc, pX, pY, count); + *pDst++ = (q15_t) acc; + pA++; + } +} +#else +void arm_conv_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + +#if defined (ARM_MATH_DSP) + + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary input variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLALDX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLALDX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLALDX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = read_q15x2_da ((q15_t **) &py); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLALDX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLALDX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLALDX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py + 1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD(x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) ((q31_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + blockSize3 = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +#else /* #if defined (ARM_MATH_DSP) */ + + const q15_t *pIn1 = pSrcA; /* InputA pointer */ + const q15_t *pIn2 = pSrcB; /* InputB pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of values */ + for (i = 0; i < (srcALen + srcBLen - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q31_t) pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q31.c new file mode 100644 index 0000000..88c6cc4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q31.c @@ -0,0 +1,745 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q31.c + * Description: Convolution of Q31 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q31 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + as maximum of min(srcALen, srcBLen) number of additions are carried internally. + The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + + @remark + Refer to \ref arm_conv_fast_q31() for a faster but less precise implementation of this function. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + +void arm_conv_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1 = pSrcA; /* inputA pointer */ + const q31_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const q31_t *pX; + const q31_t *pY; + const q31_t *pA; + const q31_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + uint32_t vddupStartIdx = 3; + uint32x4_t decrIdxVec = vddupq_u32(vddupStartIdx, 1); + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 3; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count); + + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + pB += 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count); + + *pDst++ = (q31_t) acc; + pB++; + } + + for (i = 0; i <= block2 - 4; i += 4) + { + uint32_t count = srcBLen; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + int64_t acc2 = 0LL; + int64_t acc3 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, count); + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + *pDst++ = (q31_t) acc2; + *pDst++ = (q31_t) acc3; + + pA += 4; + } + + for (; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, count); + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count); + *pDst++ = (q31_t) acc; + pA++; + } + + for (i = block3; i >= 2; i -= 2) + { + uint32_t count = i; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count); + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + pA += 2; + } + + for (; i >= 1; i--) + { + uint32_t count = i; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q31(acc, pX, pY, count); + *pDst++ = (q31_t) acc; + pA++; + } + +} + +#else +void arm_conv_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q63_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc0, acc1, acc2; /* Accumulators */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * (*py--); + + /* x[1] * y[srcBLen - 2] */ + sum += (q63_t) *px++ * (*py--); + + /* x[2] * y[srcBLen - 3] */ + sum += (q63_t) *px++ * (*py--); + + /* x[3] * y[srcBLen - 4] */ + sum += (q63_t) *px++ * (*py--); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unroll by 3 */ + blkCnt = blockSize2 / 3; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py); + /* Read x[3] sample */ + x2 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += ((q63_t) x2 * c0); + + /* Read y[srcBLen - 2] sample */ + c0 = *(py - 1U); + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += ((q63_t) x1 * c0); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += ((q63_t) x2 * c0); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += ((q63_t) x0 * c0); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py - 2U); + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += ((q63_t) x2 * c0); + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += ((q63_t) x0 * c0); + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += ((q63_t) x1 * c0); + + /* update scratch pointers */ + px += 3U; + py -= 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 >> 31); + *pOut++ = (q31_t) (acc1 >> 31); + *pOut++ = (q31_t) (acc2 >> 31); + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) *px++ * *py--; + sum += (q63_t) *px++ * *py--; + sum += (q63_t) *px++ * *py--; + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = blockSize3 >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += (q63_t) *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = blockSize3 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = blockSize3; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += (q63_t) *px++ * *py--; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const q31_t *pIn1 = pSrcA; /* InputA pointer */ + const q31_t *pIn2 = pSrcB; /* InputB pointer */ + q63_t sum; /* Accumulators */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < (srcALen + srcBLen - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q31_t) (sum >> 31U); + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q7.c new file mode 100644 index 0000000..97d540a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_conv_q7.c @@ -0,0 +1,860 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Conv + @{ + */ + +/** + @brief Convolution of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. + @remark + Refer to \ref arm_conv_opt_q7() for a faster implementation of this function. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" + +#include "arm_vec_filtering.h" + +void arm_conv_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + const q7_t *pIn1 = pSrcA; /* inputA pointer */ + const q7_t *pIn2 = pSrcB; /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const q7_t *pX; + const q7_t *pY; + const q7_t *pA; + const q7_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t block1, block2, block3; + uint8_t vddupStartIdx = 15; + uint8x16_t decrIdxVec = vddupq_u8(vddupStartIdx, 1); + + if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2 - 15; + + for (i = 0; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int32_t acc0 = 0; + int32_t acc1 = 0; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_DUAL_INC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count); + *pDst++ = (q7_t) acc0; + *pDst++ = (q7_t) acc1; + pB += 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int32_t acc = 0; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count); + *pDst++ = (q7_t) acc; + pB++; + } + + for (i = 0; i <= block2 - 4; i += 4) + { + uint32_t count = srcBLen; + int32_t acc0 = 0; + int32_t acc1 = 0; + int32_t acc2 = 0; + int32_t acc3 = 0; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, count); + *pDst++ = (q7_t) acc0; + *pDst++ = (q7_t) acc1; + *pDst++ = (q7_t) acc2; + *pDst++ = (q7_t) acc3; + pA += 4; + } + for (; i <= block2 - 2; i += 2) + { + uint32_t count = srcBLen; + int32_t acc0 = 0; + int32_t acc1 = 0; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CONV_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, count); + *pDst++ = (q7_t) acc0; + *pDst++ = (q7_t) acc1; + pA += 2; + } + if (block2 & 1) + { + uint32_t count = srcBLen; + int32_t acc = 0; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count); + *pDst++ = (q7_t) acc; + pA++; + } + + for (i = block3; i >= 1; i -= 2) + { + uint32_t count = i; + int32_t acc0 = 0; + int32_t acc1 = 0; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count); + *pDst++ = (q7_t) acc0; + *pDst++ = (q7_t) acc1; + pA += 2; + } + for (; i >= 1; i--) + { + uint32_t count = i; + int32_t acc = 0; + + pX = pA; + pY = pB; + + MVE_INTR_CONV_SINGLE_Q7(acc, pX, pY, count); + *pDst++ = (q7_t) acc; + pA++; + } +} + +#else +void arm_conv_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + const q7_t *pIn1; /* InputA pointer */ + const q7_t *pIn2; /* InputB pointer */ + q7_t *pOut = pDst; /* Output pointer */ + const q7_t *px; /* Intermediate inputA pointer */ + const q7_t *py; /* Intermediate inputB pointer */ + const q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t input1, input2; /* Temporary input variables */ + q15_t in1, in2; /* Temporary input variables */ + q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 1] , y[srcBLen - 2] */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* x[0] * y[srcBLen - 1] */ + /* x[1] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 3] , y[srcBLen - 4] */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* x[2] * y[srcBLen - 3] */ + /* x[3] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *py--; + /* Read y[srcBLen - 2] sample */ + c1 = *py--; + + /* Read x[3] sample */ + x3 = *px++; + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *px++; + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[srcBLen - 3] sample */ + c0 = *py--; + /* Read y[srcBLen - 4] sample */ + c1 = *py--; + + /* Read x[5] sample */ + x1 = *px++; + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *px++; + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *py--; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q15_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q15_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q15_t) x2 * c0); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = blockSize3 >> 2U; + + while (k > 0U) + { + /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ + in1 = (q15_t) *py--; + in2 = (q15_t) *py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = blockSize3 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = blockSize3; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += ((q15_t) *px++ * *py--); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const q7_t *pIn1 = pSrcA; /* InputA pointer */ + const q7_t *pIn2 = pSrcB; /* InputB pointer */ + q31_t sum; /* Accumulator */ + uint32_t i, j; /* Loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < (srcALen + srcBLen - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q15_t) pIn1[j] * pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U); + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Conv group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_f32.c new file mode 100644 index 0000000..e4690d6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_f32.c @@ -0,0 +1,1095 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_f32.c + * Description: Correlation of floating-point sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup Corr Correlation + + Correlation is a mathematical operation that is similar to convolution. + As with convolution, correlation uses two signals to produce a third signal. + The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution. + Correlation is commonly used to measure the similarity between two signals. + It has applications in pattern recognition, cryptanalysis, and searching. + The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types. + Fast versions of the Q15 and Q31 functions are also provided. + + @par Algorithm + Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively. + The convolution of the two signals is denoted by + 
+      c[n] = a[n] * b[n]
+
+ In correlation, one of the signals is flipped in time + 
+       c[n] = a[n] * b[-n]
+
+ @par + and this is mathematically defined as + \image html CorrelateEquation.gif + @par + The pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen. + The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2). + The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result. + + @note + The pDst should be initialized to all zeros before being used. + + @par Fixed-Point Behavior + Correlation requires summing up a large number of intermediate products. + As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + Refer to the function specific documentation below for further details of the particular algorithm used. + + @par Fast Versions + Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires + the input signals should be scaled down to avoid intermediate overflows. + + @par Opt Versions + Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of correlate + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of floating-point sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + + +void arm_correlate_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + const float32_t *pIn1 = pSrcA; /* inputA pointer */ + const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + const float32_t *pX, *pY; + const float32_t *pA, *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t inv = 4U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + int32_t block1, block2, block3; + int32_t incr; + + tot = ((srcALen + srcBLen) - 2U); + if (srcALen > srcBLen) + { + /* + * Calculating the number of zeros to be padded to the output + */ + j = srcALen - srcBLen; + /* + * Initialize the pointer after zero padding + */ + pDst += j; + } + else if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA + (srcALen - 1U); + /* + * Initialisation of the pointer after zero padding + */ + pDst = pDst + tot; + /* + * Swapping the lengths + */ + + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + /* + * Setting the reverse flag + */ + inv = -4; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2; + incr = inv / 4; + + for (i = 0U; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + float32_t acc0; + float32_t acc1; + + /* + * compute 2 accumulators per loop + * size is incrementing for second accumulator + * Y pointer is decrementing for second accumulator + */ + pX = pA; + pY = pB; + MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst = acc0; + pDst += incr; + *pDst = acc1; + pDst += incr; + pB -= 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count); + + *pDst = acc; + pDst += incr; + pB--; + } + + for (i = 0U; i <= block2 - 4; i += 4) + { + float32_t acc0; + float32_t acc1; + float32_t acc2; + float32_t acc3; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_F32(acc0, acc1, acc2, acc3, pX, pY, srcBLen); + + *pDst = acc0; + pDst += incr; + *pDst = acc1; + pDst += incr; + *pDst = acc2; + pDst += incr; + *pDst = acc3; + pDst += incr; + pA += 4; + } + + for (; i <= block2 - 2; i += 2) + { + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_F32(acc0, acc1, pX, pY, srcBLen); + + *pDst = acc0; + pDst += incr; + *pDst = acc1; + pDst += incr; + pA += 2; + } + + if (block2 & 1) + { + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, srcBLen); + + *pDst = acc; + pDst += incr; + pA++; + } + + for (i = block3 - 1; i >= 0; i -= 2) + { + + uint32_t count = (i + 1); + float32_t acc0; + float32_t acc1; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for second accumulator + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_F32(acc0, acc1, pX, pY, count); + + *pDst = acc0; + pDst += incr; + *pDst = acc1; + pDst += incr; + pA += 2; + + } + for (; i >= 0; i--) + { + uint32_t count = (i + 1); + float32_t acc; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_F32(acc, pX, pY, count); + + *pDst = acc; + pDst += incr; + pA++; + } +} + +#else +void arm_correlate_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + +#if defined(ARM_MATH_DSP) && !defined(ARM_MATH_AUTOVECTORIZE) + + const float32_t *pIn1; /* InputA pointer */ + const float32_t *pIn2; /* InputB pointer */ + float32_t *pOut = pDst; /* Output pointer */ + const float32_t *px; /* Intermediate inputA pointer */ + const float32_t *py; /* Intermediate inputB pointer */ + const float32_t *pSrc1; + float32_t sum; + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; /* Loop counter */ + int32_t inc = 1; /* Destination address modifier */ + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + float32_t acc0, acc1, acc2, acc3,c0; /* Accumulators */ +#if !defined(ARM_MATH_NEON) + float32_t x0, x1, x2, x3; /* temporary variables for holding input and coefficient values */ +#endif +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we assume zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding has to be done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t x,y; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py); + + res = vmlaq_f32(res,x, y); + + px += 4; + py += 4; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; + + k = count & 0x3; +#else + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum += *px++ * *py++; + + /* x[1] * y[srcBLen - 3] */ + sum += *px++ * *py++; + + /* x[2] * y[srcBLen - 2] */ + sum += *px++ * *py++; + + /* x[3] * y[srcBLen - 1] */ + sum += *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#endif /* #if defined(ARM_MATH_NEON) */ +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t c; + float32x4_t x1v; + float32x4_t x2v; + float32x4_t x; + float32x4_t res = vdupq_n_f32(0) ; +#endif /* #if defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + +#if defined(ARM_MATH_NEON) + /* Compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + res = vdupq_n_f32(0) ; + + x1v = vld1q_f32(px); + px += 4; + do + { + x2v = vld1q_f32(px); + c = vld1q_f32(py); + + py += 4; + + x = x1v; + res = vmlaq_n_f32(res,x,c[0]); + + x = vextq_f32(x1v,x2v,1); + + res = vmlaq_n_f32(res,x,c[1]); + + x = vextq_f32(x1v,x2v,2); + + res = vmlaq_n_f32(res,x,c[2]); + + x = vextq_f32(x1v,x2v,3); + + res = vmlaq_n_f32(res,x,c[3]); + + x1v = x2v; + px+=4; + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen & 0x3; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py++); + + res = vmlaq_n_f32(res,x1v,c0); + + /* Reuse the present samples for the next MAC */ + x1v[0] = x1v[1]; + x1v[1] = x1v[2]; + x1v[2] = x1v[3]; + + x1v[3] = *(px++); + + /* Decrement the loop counter */ + k--; + } + + px-=1; + + acc0 = res[0]; + acc1 = res[1]; + acc2 = res[2]; + acc3 = res[3]; +#else + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *(py++); + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[0] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[0] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[0] */ + acc3 += x3 * c0; + + /* Read y[1] sample */ + c0 = *(py++); + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[1] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[1] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[1] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[1] */ + acc3 += x0 * c0; + + /* Read y[2] sample */ + c0 = *(py++); + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[2] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[2] */ + acc3 += x1 * c0; + + /* Read y[3] sample */ + c0 = *(py++); + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[3] * y[3] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[3] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[3] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[3] */ + acc3 += x2 * c0; + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *(py++); + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[4] * y[4] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[4] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[4] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[4] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + +#endif /* #if defined(ARM_MATH_NEON) */ + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = acc0; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = acc1; + pOut += inc; + + *pOut = acc2; + pOut += inc; + + *pOut = acc3; + pOut += inc; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t x,y; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py); + + res = vmlaq_f32(res,x, y); + + px += 4; + py += 4; + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; +#else + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + sum += *px++ * *py++; + sum += *px++ * *py++; + sum += *px++ * *py++; + + /* Decrement loop counter */ + k--; + } +#endif /* #if defined(ARM_MATH_NEON) */ + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + +#if defined(ARM_MATH_NEON) + float32x4_t x,y; + float32x4_t res = vdupq_n_f32(0) ; + float32x2_t accum = vdup_n_f32(0); + + while (k > 0U) + { + x = vld1q_f32(px); + y = vld1q_f32(py); + + res = vmlaq_f32(res,x, y); + + px += 4; + py += 4; + + /* Decrement the loop counter */ + k--; + } + + accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res)); + sum += accum[0] + accum[1]; +#else + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum += *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum += *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum += *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum += *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + +#endif /* #if defined (ARM_MATH_NEON) */ + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const float32_t *pIn1 = pSrcA; /* inputA pointer */ + const float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i = 0U, j; /* Loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we assume zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + + } + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += pIn1[j] * pIn2[-((int32_t) i - j)]; + } + } + + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = sum; + else + *pDst++ = sum; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c new file mode 100644 index 0000000..13661cb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c @@ -0,0 +1,345 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_opt_q15.c + * Description: Fast Q15 Correlation + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a + maximum of min(srcALen, srcBLen) number of additions is carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +void arm_correlate_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q31_t acc0; /* Accumulators */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1 = pScratch; /* Temporary pointer for scratch */ + const q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, blkCnt, outBlockSize; /* Loop counter */ + int32_t inc = 1; /* Destination address modifier */ + uint32_t tapCnt; /* Loop count */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables for holding input and coefficient values */ + q31_t y1, y2; /* State variables */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + pScr1 = pScratch; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pIn2; + + + /* Actual correlation process starts here */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the results in the accumulators in the destination buffer. */ + *pOut = (__SSAT(acc0 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc1 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc2 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc3 >> 15U, 16)); + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 4U; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 1U; + } + +} + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q15.c new file mode 100644 index 0000000..6898618 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q15.c @@ -0,0 +1,614 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_q15.c + * Description: Fast Q15 Correlation + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a + maximum of min(srcALen, srcBLen) number of additions is carried internally. + The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + + @remark + Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +void arm_correlate_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ + sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ + sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum = __SMLAD(*px++, *py++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the first two inputB samples using SIMD: + * y[0] and y[1] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLAD(x0, c0, acc0); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLAD(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLAD(x2, c0, acc2); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLAD(x3, c0, acc3); + + /* Read y[2] and y[3] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLAD(x2, c0, acc0); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLAD(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLAD(x0, c0, acc2); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLAD(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[4] */ + c0 = *py; + +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD (x0, c0, acc0); + acc1 = __SMLAD (x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[4], y[5] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[4], y[5] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + + c0 = (*py); + /* Read y[6] */ +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD (x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (acc0 >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q15_t) (acc1 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc2 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc3 >> 15); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) *px++ * *py++); + sum += ((q31_t) *px++ * *py++); + sum += ((q31_t) *px++ * *py++); + sum += ((q31_t) *px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) *px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py++, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q31.c new file mode 100644 index 0000000..a5840b7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_fast_q31.c @@ -0,0 +1,601 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_q31.c + * Description: Fast Q31 Correlation + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are accumulated in a 32-bit register in 2.30 format. + Finally, the accumulator is saturated and converted to a 1.31 result. + @par + The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + The input signals should be scaled down to avoid intermediate overflows. + Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a + maximum of min(srcALen, srcBLen) number of additions is carried internally. + + @remark + Refer to \ref arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_correlate_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables for holding input and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; + int32_t inc = 1; /* Destination address modifier */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* x[1] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* x[2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* x[3] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *py++; + /* Read x[3] sample */ + x3 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[0] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[0] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[0] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + + /* Read y[1] sample */ + c0 = *py++; + /* Read x[4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + + /* Read y[2] sample */ + c0 = *py++; + /* Read x[5] sample */ + x1 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + + /* Read y[3] sample */ + c0 = *py++; + /* Read x[6] sample */ + x2 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *py++; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (acc0 << 1); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q31_t) (acc1 << 1); + pOut += inc; + + *pOut = (q31_t) (acc2 << 1); + pOut += inc; + + *pOut = (q31_t) (acc3 << 1); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1U; + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) *px++ * (*py++))) >> 32); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement loop counter */ + blockSize3--; + } + +} + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q15.c new file mode 100644 index 0000000..d46d9a0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q15.c @@ -0,0 +1,341 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_opt_q15.c + * Description: Correlation of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + + @remark + Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function. + */ + +void arm_correlate_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch) +{ + q63_t acc0; /* Accumulators */ + q15_t *pOut = pDst; /* Output pointer */ + q15_t *pScr1; /* Temporary pointer for scratch1 */ + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, blkCnt, outBlockSize; /* Loop counter */ + int32_t inc = 1; /* Output pointer increment */ + uint32_t tapCnt; + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables for holding input1 and input2 values */ + q31_t y1, y2; /* State variables */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (srcALen * 2U) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + pScr1 = pScratch; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pIn2; + + + /* Actual correlation process starts here */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia ((q15_t **) &pIn2); + y2 = read_q15x2_ia ((q15_t **) &pIn2); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + *pOut = (__SSAT(acc0 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc1 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc2 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc3 >> 15U, 16)); + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 4U; + } + + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (srcALen + srcBLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 1U; + } + +} + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q7.c new file mode 100644 index 0000000..035bfba --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_opt_q7.c @@ -0,0 +1,388 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_opt_q7.c + * Description: Correlation of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. + */ + +void arm_correlate_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */ + q15_t x4; /* Temporary input variable */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + const q7_t *pIn1, *pIn2; /* InputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* Loop counter */ + int32_t inc = 1; /* Output pointer increment */ + uint32_t outBlockSize; /* Loop counter */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + q7_t *pOut = pDst; /* Output pointer */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (srcALen * 2U) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + + /* Copy (srcBLen) samples in scratch buffer */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *pIn2++; + *pScr2++ = x4; + x4 = (q15_t) *pIn2++; + *pScr2++ = x4; + x4 = (q15_t) *pIn2++; + *pScr2++ = x4; + x4 = (q15_t) *pIn2++; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) *pIn2++; + *pScr2++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + x4 = (q15_t) *pIn1++; + *pScr1++ = x4; + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pScr2 pointer */ + pScr2 = pScratch2; + + /* Actual correlation process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* Read next two samples from scratch1 buffer */ + x2 = read_q15x2_ia (&pScr1); + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = read_q15x2_ia (&pScr1); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = read_q15x2_ia (&pScr2); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = read_q15x2_ia (&pScr1); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc1 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc2 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc3 >> 7U, 8)); + pOut += inc; + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + } + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + acc0 += (*pScr1++ * *pScr2++); + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8)); + pOut += inc; + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + } + +} + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q15.c new file mode 100644 index 0000000..0ec4ab7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q15.c @@ -0,0 +1,903 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q15.c + * Description: Correlation of Q15 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both inputs are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + + @remark + Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function. + @remark + Refer to \ref arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" + +void arm_correlate_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + const q15_t *pIn1 = pSrcA; /* inputA pointer */ + const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const q15_t *pX; + const q15_t *pY; + const q15_t *pA; + const q15_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t inv = 2U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + int32_t block1, block2, block3; + int32_t incr; + + tot = ((srcALen + srcBLen) - 2U); + if (srcALen > srcBLen) + { + /* + * Calculating the number of zeros to be padded to the output + */ + j = srcALen - srcBLen; + /* + * Initialize the pointer after zero padding + */ + pDst += j; + } + else if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA + (srcALen - 1U); + /* + * Initialisation of the pointer after zero padding + */ + pDst = pDst + tot; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + /* + * Setting the reverse flag + */ + inv = -2; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2; + incr = inv / 2; + + for (i = 0U; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + /* + * compute 2 accumulators per loop + * size is incrementing for second accumulator + * Y pointer is decrementing for second accumulator + */ + pX = pA; + pY = pB; + MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q15(acc0, acc1, pX, pY, count); + + *pDst = (q15_t) acc0; + pDst += incr; + *pDst = (q15_t) acc1; + pDst += incr; + pB -= 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count); + + *pDst = (q15_t) acc; + pDst += incr; + pB--; + } + + for (i = 0U; i <= block2 - 4; i += 4) + { + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + int64_t acc2 = 0LL; + int64_t acc3 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q15(acc0, acc1, acc2, acc3, pX, pY, srcBLen); + + *pDst = (q15_t) acc0; + pDst += incr; + *pDst = (q15_t) acc1; + pDst += incr; + *pDst = (q15_t) acc2; + pDst += incr; + *pDst = (q15_t) acc3; + pDst += incr; + pA += 4; + } + + for (; i <= block2 - 2; i += 2) + { + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q15(acc0, acc1, pX, pY, srcBLen); + + *pDst = (q15_t) acc0; + pDst += incr; + *pDst = (q15_t) acc1; + pDst += incr; + pA += 2; + } + + if (block2 & 1) + { + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, srcBLen); + + *pDst = (q15_t) acc; + pDst += incr; + pA++; + } + + for (i = block3 - 1; i >= 0; i -= 2) + { + + uint32_t count = (i + 1); + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for second accumulator + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q15(acc0, acc1, pX, pY, count); + + *pDst = (q15_t) acc0; + pDst += incr; + *pDst = (q15_t) acc1; + pDst += incr; + pA += 2; + + } + for (; i >= 0; i--) + { + uint32_t count = (i + 1); + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q15(acc, pX, pY, count); + + *pDst = (q15_t) acc; + pDst += incr; + pA++; + } +} + +#else +void arm_correlate_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + +#if defined (ARM_MATH_DSP) + + const q15_t *pIn1; /* InputA pointer */ + const q15_t *pIn2; /* InputB pointer */ + q15_t *pOut = pDst; /* Output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + const q15_t *px; /* Intermediate inputA pointer */ + const q15_t *py; /* Intermediate inputB pointer */ + const q15_t *pSrc1; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary input variables for holding input and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; + int32_t inc = 1; /* Destination address modifier */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (srcALen * 2U) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum = __SMLALD(*px++, *py++, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT((sum >> 15), 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = read_q15x2 ((q15_t *) px); + + /* read x[1], x[2] samples */ + x1 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the first two inputB samples using SIMD: + * y[0] and y[1] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLALD(x0, c0, acc0); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLALD(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = read_q15x2 ((q15_t *) px); + + /* Read x[3], x[4] */ + x3 = read_q15x2 ((q15_t *) px + 1); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLALD(x2, c0, acc2); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLALD(x3, c0, acc3); + + /* Read y[2] and y[3] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLALD(x2, c0, acc0); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLALD(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = read_q15x2 ((q15_t *) px + 2); + + /* Read x[5], x[6] */ + x1 = read_q15x2 ((q15_t *) px + 3); + px += 4U; + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLALD(x0, c0, acc2); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLALD(x1, c0, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[4] */ + c0 = *py; +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = read_q15x2 ((q15_t *) px); + px++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD (x0, c0, acc0); + acc1 = __SMLALD (x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[4], y[5] */ + c0 = read_q15x2 ((q15_t *) py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + px += 2U; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALD(x3, c0, acc2); + acc3 = __SMLALD(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[4], y[5] */ + c0 = read_q15x2_ia ((q15_t **) &py); + + /* Read x[7], x[8] */ + x3 = read_q15x2 ((q15_t *) px); + + /* Read x[9] */ + x2 = read_q15x2 ((q15_t *) px + 1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALD(x3, c0, acc2); + acc3 = __SMLALD(x2, c0, acc3); + + c0 = (*py); + + /* Read y[6] */ +#ifdef ARM_MATH_BIG_ENDIAN + c0 = c0 << 16U; +#else + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = read_q15x2 ((q15_t *) px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD (x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(acc0 >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc1 >> 15, 16)); + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc2 >> 15, 16)); + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc3 >> 15, 16)); + pOut += inc; + + /* Increment the count by 4 as 4 output values are computed */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q63_t) *px++ * *py++); + sum += ((q63_t) *px++ * *py++); + sum += ((q63_t) *px++ * *py++); + sum += ((q63_t) *px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q63_t) *px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(sum >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment count by 1, as one output value is computed */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q63_t) *px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(sum >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum); + + /* Decrement loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = __SMLALD(*px++, *py++, sum); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT((sum >> 15), 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement loop counter */ + blockSize3--; + } + +#else /* #if defined (ARM_MATH_DSP) */ + + const q15_t *pIn1 = pSrcA; /* InputA pointer */ + const q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */ + q63_t sum; /* Accumulators */ + uint32_t i = 0U, j; /* Loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + } + + /* Loop to calculate convolution for output length number of values */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q15_t) __SSAT((sum >> 15U), 16U); + else + *pDst++ = (q15_t) __SSAT((sum >> 15U), 16U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q31.c new file mode 100644 index 0000000..1c3e33b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q31.c @@ -0,0 +1,879 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q31.c + * Description: Correlation of Q31 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q31 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + There is no saturation on intermediate additions. + Thus, if the accumulator overflows it wraps around and distorts the result. + The input signals should be scaled down to avoid intermediate overflows. + Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a + maximum of min(srcALen, srcBLen) number of additions is carried internally. + The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + + @remark + Refer to \ref arm_correlate_fast_q31() for a faster but less precise implementation of this function. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" +#include "arm_vec_filtering.h" +void arm_correlate_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + const q31_t *pIn1 = pSrcA; /* inputA pointer */ + const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + /* + * Loop to perform MAC operations according to correlation equation + */ + const q31_t *pX; + const q31_t *pY; + const q31_t *pA; + const q31_t *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t inv = 4; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + int32_t block1, block2, block3; + int32_t incr; + + tot = ((srcALen + srcBLen) - 2U); + if (srcALen > srcBLen) + { + /* + * Calculating the number of zeros to be padded to the output + */ + j = srcALen - srcBLen; + /* + * Initialize the pointer after zero padding + */ + pDst += j; + } + else if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA + (srcALen - 1U); + /* + * Initialization of the pointer after zero padding + */ + pDst = pDst + tot; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + /* + * Setting the reverse flag + */ + inv = -4; + + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + pA = pIn1; + pB = pIn2; + incr = inv / 4; + + for (i = 0U; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + /* compute 2 accumulators per loop */ + /* size is incrementing for second accumulator */ + /* Y pointer is decrementing for second accumulator */ + pX = pA; + pY = pB; + MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q31(acc0, acc1, pX, pY, count); + + *pDst = (q31_t) acc0; + pDst += incr; + *pDst = (q31_t) acc1; + pDst += incr; + pB -= 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count); + + *pDst = (q31_t) acc; + pDst += incr; + pB--; + } + + for (i = 0U; i <= block2 - 4; i += 4) + { + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + int64_t acc2 = 0LL; + int64_t acc3 = 0LL; + + pX = pA; + pY = pB; + /* compute 4 accumulators per loop */ + /* size is fixed for all accumulators */ + /* X pointer is incrementing for successive accumulators */ + MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q31(acc0, acc1, acc2, acc3, pX, pY, srcBLen); + + *pDst = (q31_t) acc0; + pDst += incr; + *pDst = (q31_t) acc1; + pDst += incr; + *pDst = (q31_t) acc2; + pDst += incr; + *pDst = (q31_t) acc3; + pDst += incr; + pA += 4; + } + + for (; i <= block2 - 2; i += 2) + { + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* compute 2 accumulators per loop */ + /* size is fixed for all accumulators */ + /* X pointer is incrementing for second accumulator */ + MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q31(acc0, acc1, pX, pY, srcBLen); + + *pDst = (q31_t) acc0; + pDst += incr; + *pDst = (q31_t) acc1; + pDst += incr; + pA += 2; + } + + if (block2 & 1) + { + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, srcBLen); + + *pDst = (q31_t) acc; + pDst += incr; + pA++; + } + + for (i = block3 - 1; i >= 0; i -= 2) + { + + uint32_t count = (i + 1); + int64_t acc0 = 0LL; + int64_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* compute 2 accumulators per loop */ + /* size is decrementing for second accumulator */ + /* X pointer is incrementing for second accumulator */ + MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q31(acc0, acc1, pX, pY, count); + + *pDst = (q31_t) acc0; + pDst += incr; + *pDst = (q31_t) acc1; + pDst += incr; + pA += 2; + + } + for (; i >= 0; i--) + { + uint32_t count = (i + 1); + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q31(acc, pX, pY, count); + + *pDst = (q31_t) acc; + pDst += incr; + pA++; + } +} +#else +void arm_correlate_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + const q31_t *pIn1; /* InputA pointer */ + const q31_t *pIn2; /* InputB pointer */ + q31_t *pOut = pDst; /* Output pointer */ + const q31_t *px; /* Intermediate inputA pointer */ + const q31_t *py; /* Intermediate inputB pointer */ + const q31_t *pSrc1; /* Intermediate pointers */ + q63_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; + int32_t inc = 1; /* Destination address modifier */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc0, acc1, acc2; /* Accumulators */ + q31_t x0, x1, x2, c0; /* Temporary variables for holding input and coefficient values */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum += (q63_t) *px++ * (*py++); + + /* x[1] * y[srcBLen - 3] */ + sum += (q63_t) *px++ * (*py++); + + /* x[2] * y[srcBLen - 2] */ + sum += (q63_t) *px++ * (*py++); + + /* x[3] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * (*py++); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) *px++ * (*py++); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unroll by 3 */ + blkCnt = blockSize2 / 3; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1] samples */ + x0 = *px++; + x1 = *px++; + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[0] sample */ + c0 = *(py); + /* Read x[2] sample */ + x2 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[1] * y[0] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[2] * y[0] */ + acc2 += ((q63_t) x2 * c0); + + /* Read y[1] sample */ + c0 = *(py + 1U); + /* Read x[3] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[1] */ + acc0 += ((q63_t) x1 * c0); + /* acc1 += x[2] * y[1] */ + acc1 += ((q63_t) x2 * c0); + /* acc2 += x[3] * y[1] */ + acc2 += ((q63_t) x0 * c0); + + /* Read y[2] sample */ + c0 = *(py + 2U); + /* Read x[4] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[2] * y[2] */ + acc0 += ((q63_t) x2 * c0); + /* acc1 += x[3] * y[2] */ + acc1 += ((q63_t) x0 * c0); + /* acc2 += x[4] * y[2] */ + acc2 += ((q63_t) x1 * c0); + + /* update scratch pointers */ + px += 3U; + py += 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *(py++); + + /* Read x[7] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[5] * y[4] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[6] * y[4] */ + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (acc0 >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q31_t) (acc1 >> 31); + pOut += inc; + + *pOut = (q31_t) (acc2 >> 31); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) *px++ * *py++; + sum += (q63_t) *px++ * *py++; + sum += (q63_t) *px++ * *py++; + sum += (q63_t) *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum += (q63_t) *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum += (q63_t) *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum += (q63_t) *px++ * *py++; + + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum += (q63_t) *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) *px++ * *py++; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const q31_t *pIn1 = pSrcA; /* InputA pointer */ + const q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */ + q63_t sum; /* Accumulators */ + uint32_t i = 0U, j; /* Loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using correlation but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + } + + /* Loop to calculate correlation for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to correlation equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q31_t) (sum >> 31U); + else + *pDst++ = (q31_t) (sum >> 31U); + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q7.c new file mode 100644 index 0000000..113fdbc --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_correlate_q7.c @@ -0,0 +1,1002 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q7.c + * Description: Correlation of Q7 sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup Corr + @{ + */ + +/** + @brief Correlation of Q7 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. + + @remark + Refer to \ref arm_correlate_opt_q7() for a faster implementation of this function. + */ +#if defined(ARM_MATH_MVEI) +#include "arm_helium_utils.h" + +#include "arm_vec_filtering.h" +void arm_correlate_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + const q7_t *pIn1 = pSrcA; /* inputA pointer */ + const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + const q7_t *pX, *pY; + const q7_t *pA, *pB; + int32_t i = 0U, j = 0; /* loop counters */ + int32_t inv = 1U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + int32_t block1, block2, block3; + int32_t incr; + + tot = ((srcALen + srcBLen) - 2U); + if (srcALen > srcBLen) + { + /* + * Calculating the number of zeros to be padded to the output + */ + j = srcALen - srcBLen; + /* + * Initialize the pointer after zero padding + */ + pDst += j; + } + else if (srcALen < srcBLen) + { + /* + * Initialization to inputB pointer + */ + pIn1 = pSrcB; + /* + * Initialization to the end of inputA pointer + */ + pIn2 = pSrcA + (srcALen - 1U); + /* + * Initialisation of the pointer after zero padding + */ + pDst = pDst + tot; + /* + * Swapping the lengths + */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + /* + * Setting the reverse flag + */ + inv = -1; + } + + block1 = srcBLen - 1; + block2 = srcALen - srcBLen + 1; + block3 = srcBLen - 1; + + pA = pIn1; + pB = pIn2; + incr = inv; + + for (i = 0U; i <= block1 - 2; i += 2) + { + uint32_t count = i + 1; + int32_t acc0 = 0; + int32_t acc1 = 0; + + /* + * compute 2 accumulators per loop + * size is incrementing for second accumulator + * Y pointer is decrementing for second accumulator + */ + pX = pA; + pY = pB; + MVE_INTR_CORR_DUAL_DEC_Y_INC_SIZE_Q7(acc0, acc1, pX, pY, count); + + *pDst = (q7_t) acc0; + pDst += incr; + *pDst = (q7_t) acc1; + pDst += incr; + pB -= 2; + } + for (; i < block1; i++) + { + uint32_t count = i + 1; + int32_t acc = 0; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count); + + *pDst = (q7_t) acc; + pDst += incr; + pB--; + } + + for (i = 0U; i <= block2 - 4; i += 4) + { + int32_t acc0 = 0; + int32_t acc1 = 0; + int32_t acc2 = 0; + int32_t acc3 = 0; + + pX = pA; + pY = pB; + /* + * compute 4 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for successive accumulators + */ + MVE_INTR_CORR_QUAD_INC_X_FIXED_SIZE_Q7(acc0, acc1, acc2, acc3, pX, pY, srcBLen); + + *pDst = (q7_t) acc0; + pDst += incr; + *pDst = (q7_t) acc1; + pDst += incr; + *pDst = (q7_t) acc2; + pDst += incr; + *pDst = (q7_t) acc3; + pDst += incr; + + pA += 4; + } + + for (; i <= block2 - 2; i += 2) + { + int32_t acc0 = 0LL; + int32_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is fixed for all accumulators + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_FIXED_SIZE_Q7(acc0, acc1, pX, pY, srcBLen); + + *pDst = (q7_t) acc0; + pDst += incr; + *pDst = (q7_t) acc1; + pDst += incr; + pA += 2; + } + + if (block2 & 1) + { + int32_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, srcBLen); + + *pDst = (q7_t) acc; + pDst += incr; + pA++; + } + + for (i = block3 - 1; i >= 0; i -= 2) + { + uint32_t count = (i + 1); + int32_t acc0 = 0LL; + int32_t acc1 = 0LL; + + pX = pA; + pY = pB; + /* + * compute 2 accumulators per loop + * size is decrementing for second accumulator + * X pointer is incrementing for second accumulator + */ + MVE_INTR_CORR_DUAL_INC_X_DEC_SIZE_Q7(acc0, acc1, pX, pY, count); + + *pDst = (q7_t) acc0; + pDst += incr; + *pDst = (q7_t) acc1; + pDst += incr; + pA += 2; + + } + for (; i >= 0; i--) + { + uint32_t count = (i + 1); + int64_t acc = 0LL; + + pX = pA; + pY = pB; + MVE_INTR_CORR_SINGLE_Q7(acc, pX, pY, count); + + *pDst = (q7_t) acc; + pDst += incr; + pA++; + } +} + +#else +void arm_correlate_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + const q7_t *pIn1; /* InputA pointer */ + const q7_t *pIn2; /* InputB pointer */ + q7_t *pOut = pDst; /* Output pointer */ + const q7_t *px; /* Intermediate inputA pointer */ + const q7_t *py; /* Intermediate inputB pointer */ + const q7_t *pSrc1; /* Intermediate pointers */ + q31_t sum; /* Accumulators */ + uint32_t blockSize1, blockSize2, blockSize3; /* Loop counters */ + uint32_t j, k, count, blkCnt; /* Loop counters */ + uint32_t outBlockSize; + int32_t inc = 1; + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t input1, input2; /* Temporary input variables */ + q15_t in1, in2; /* Temporary input variables */ + q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables for holding input and coefficient values */ +#endif + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + } + + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 4] , y[srcBLen - 3] */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[0] * y[srcBLen - 4] */ + /* x[1] * y[srcBLen - 3] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 2] , y[srcBLen - 1] */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[2] * y[srcBLen - 2] */ + /* x[3] * y[srcBLen - 1] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize k with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum += (q31_t) ((q15_t) *px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7U, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment MAC count */ + count++; + + /* Decrement loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *py++; + /* Read y[1] sample */ + c1 = *py++; + + /* Read x[3] sample */ + x3 = *px++; + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[0] and y[1] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *px++; + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[2] sample */ + c0 = *py++; + /* Read y[3] sample */ + c1 = *py++; + + /* Read x[5] sample */ + x1 = *px++; + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[2] and y[3] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *px++; + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *py++; + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 += ((q15_t) x0 * c0); + /* acc1 += x[5] * y[4] */ + acc1 += ((q15_t) x1 * c0); + /* acc2 += x[6] * y[4] */ + acc2 += ((q15_t) x2 * c0); + /* acc3 += x[7] * y[4] */ + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc1 >> 7, 8)); + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc2 >> 7, 8)); + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc3 >> 7, 8)); + pOut += inc; + + count += 4U; + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize2 % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize2; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = srcBLen >> 2U; + + while (k > 0U) + { + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulate */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = srcBLen % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = srcBLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7U, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7U, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + k = count >> 2U; + + while (k > 0U) + { + /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[0] , y[1] */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum = __SMLAD(input1, input2, sum); + + /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */ + in1 = (q15_t) *px++; + in2 = (q15_t) *px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[2] , y[3] */ + in1 = (q15_t) *py++; + in2 = (q15_t) *py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement loop counter */ + k--; + } + + /* Loop unrolling: Compute remaining outputs */ + k = count % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + k = count; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) *px++ * *py++); + + /* Decrement loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7U, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement MAC count */ + count--; + + /* Decrement loop counter */ + blockSize3--; + } + +#else +/* alternate version for CM0_FAMILY */ + + const q7_t *pIn1 = pSrcA; /* InputA pointer */ + const q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* InputB pointer */ + q31_t sum; /* Accumulator */ + uint32_t i = 0U, j; /* Loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + } + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U); + else + *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U); + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Corr group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_f32.c new file mode 100644 index 0000000..1d3576f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_f32.c @@ -0,0 +1,951 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_f32.c + * Description: FIR decimation for floating-point sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator + + These functions combine an FIR filter together with a decimator. + They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion. + Conceptually, the functions are equivalent to the block diagram below: + \image html FIRDecimator.gif "Components included in the FIR Decimator functions" + When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized + cutoff frequency of 1/M in order to prevent aliasing distortion. + The user of the function is responsible for providing the filter coefficients. + + The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner. + Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the + samples output by the decimator are computed. + The functions operate on blocks of input and output data. + pSrc points to an array of blockSize input values and + pDst points to an array of blockSize/M output values. + In order to have an integer number of output samples blockSize + must always be a multiple of the decimation factor M. + + The library provides separate functions for Q15, Q31 and floating-point data types. + + @par Algorithm: + The FIR portion of the algorithm uses the standard form filter: + 
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+
+ where, b[n] are the filter coefficients. + @par + The pCoeffs points to a coefficient array of size numTaps. + Coefficients are stored in time reversed order. + @par + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to a state array of size numTaps + blockSize - 1. + Samples in the state buffer are stored in the order: + @par + 
+      {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ The state variables are updated after each block of data is processed, the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable array should be allocated separately. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + - Checks to make sure that the size of the input is a multiple of the decimation factor. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + The code below statically initializes each of the 3 different data type filter instance structures + 
+      arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};
+      arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};
+      arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};
+
+ where M is the decimation factor; numTaps is the number of filter coefficients in the filter; + pCoeffs is the address of the coefficient buffer; + pState is the address of the state buffer. + Be sure to set the values in the state buffer to zeros when doing static initialization. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the FIR decimate filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Processing function for floating-point FIR decimator. + @param[in] S points to an instance of the floating-point FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + const float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + uint32_t blkCntN4; + const float32_t *px0, *px1, *px2, *px3; + f32x4_t accv, acc0v, acc1v, acc2v, acc3v; + f32x4_t x0v, x1v, x2v, x3v; + f32x4_t c0v; + + /* + * S->pState buffer contains previous frame (numTaps - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + (numTaps - 1U); + /* + * Total number of output samples to be computed + */ + blkCnt = outBlockSize / 4; + blkCntN4 = outBlockSize - (4 * blkCnt); + + while (blkCnt > 0U) + { + /* + * Copy 4 * decimation factor number of new input samples into the state buffer + */ + i = (4 * S->M) >> 2; + do + { + vst1q(pStateCurnt, vld1q((const float32_t *)pSrc)); + pSrc += 4; + pStateCurnt += 4; + i--; + } + while (i > 0U); + + /* + * Set accumulators to zero + */ + acc0v = vdupq_n_f32(0.0f); + acc1v = vdupq_n_f32(0.0f); + acc2v = vdupq_n_f32(0.0f); + acc3v = vdupq_n_f32(0.0f); + + /* + * Initialize state pointer for all the samples + */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + /* + * Initialize coeff pointer + */ + pb = pCoeffs; + /* + * Loop unrolling. Process 4 taps at a time. + */ + tapCnt = numTaps >> 2; + /* + * Loop over the number of taps. Unroll by a factor of 4. + * Repeat until we've computed numTaps-4 coefficients. + */ + while (tapCnt > 0U) + { + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vld1q((const float32_t *)pb); + pb += 4; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 4; + px1 += 4; + px2 += 4; + px3 += 4; + + acc0v = vfmaq(acc0v, x0v, c0v); + acc1v = vfmaq(acc1v, x1v, c0v); + acc2v = vfmaq(acc2v, x2v, c0v); + acc3v = vfmaq(acc3v, x3v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + + /* + * If the filter length is not a multiple of 4, compute the remaining filter taps + * should be tail predicated + */ + tapCnt = numTaps % 0x4U; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vldrwq_z_f32(pb, p0); + pb += 4; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 4; + px1 += 4; + px2 += 4; + px3 += 4; + + acc0v = vfmaq_f32(acc0v, x0v, c0v); + acc1v = vfmaq_f32(acc1v, x1v, c0v); + acc2v = vfmaq_f32(acc2v, x2v, c0v); + acc3v = vfmaq_f32(acc3v, x3v, c0v); + } + + /* reduction */ + accv[0] = vecAddAcrossF32Mve(acc0v); + accv[1] = vecAddAcrossF32Mve(acc1v); + accv[2] = vecAddAcrossF32Mve(acc2v); + accv[3] = vecAddAcrossF32Mve(acc3v); + + /* + * Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples + */ + pState = pState + 4 * S->M; + /* + * The result is in the accumulator, store in the destination buffer. + */ + vst1q(pDst, accv); + pDst += 4; + + /* + * Decrement the loop counter + */ + blkCnt--; + } + + while (blkCntN4 > 0U) + { + /* + * Copy decimation factor number of new input samples into the state buffer + */ + i = S->M; + do + { + *pStateCurnt++ = *pSrc++; + } + while (--i); + /* + * Set accumulator to zero + */ + acc0v = vdupq_n_f32(0.0f); + /* + * Initialize state pointer + */ + px = pState; + /* + * Initialize coeff pointer + */ + pb = pCoeffs; + /* + * Loop unrolling. Process 4 taps at a time. + */ + tapCnt = numTaps >> 2; + /* + * Loop over the number of taps. Unroll by a factor of 4. + * Repeat until we've computed numTaps-4 coefficients. + */ + while (tapCnt > 0U) + { + c0v = vldrwq_f32(pb); + x0v = vldrwq_f32(px); + pb += 4; + px += 4; + acc0v = vfmaq_f32(acc0v, x0v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + tapCnt = numTaps % 0x4U; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + c0v = vldrwq_z_f32(pb, p0); + x0v = vldrwq_f32(px); + acc0v = vfmaq_f32(acc0v, x0v, c0v); + } + accv[0] = vecAddAcrossF32Mve(acc0v); + + /* + * Advance the state pointer by the decimation factor + * * to process the next group of decimation factor number samples + */ + pState = pState + S->M; + /* + * The result is in the accumulator, store in the destination buffer. + */ + *pDst++ = accv[0]; + /* + * Decrement the loop counter + */ + blkCntN4--; + } + + /* + * Processing is complete. + * Now copy the last numTaps - 1 samples to the start of the state buffer. + * This prepares the state buffer for the next function call. + */ + + pStateCurnt = S->pState; + blkCnt =(numTaps - 1) >> 2; + while (blkCnt > 0U) + { + vst1q(pStateCurnt, vldrwq_f32(pState)); + pState += 4; + pStateCurnt += 4; + blkCnt--; + } + blkCnt = (numTaps - 1) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0); + } +} +#else +#if defined(ARM_MATH_NEON) +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px; /* Temporary pointer for state buffer */ + const float32_t *pb; /* Temporary pointer for coefficient buffer */ + float32_t sum0; /* Accumulator */ + float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + uint32_t blkCntN4; + float32_t *px0, *px1, *px2, *px3; + float32_t x1, x2, x3; + + float32x4_t accv,acc0v,acc1v,acc2v,acc3v; + float32x4_t x0v, x1v, x2v, x3v; + float32x4_t c0v; + float32x2_t temp; + float32x4_t sum0v; + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 4; + blkCntN4 = outBlockSize - (4 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 4 * decimation factor number of new input samples into the state buffer */ + i = 4 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulators to zero */ + acc0v = vdupq_n_f32(0.0); + acc1v = vdupq_n_f32(0.0); + acc2v = vdupq_n_f32(0.0); + acc3v = vdupq_n_f32(0.0); + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. + ** Repeat until we've computed numTaps-4 coefficients. */ + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0v = vld1q_f32(pb); + pb += 4; + + /* Read x[n-numTaps-1] sample for acc0 */ + x0v = vld1q_f32(px0); + x1v = vld1q_f32(px1); + x2v = vld1q_f32(px2); + x3v = vld1q_f32(px3); + + px0 += 4; + px1 += 4; + px2 += 4; + px3 += 4; + + acc0v = vmlaq_f32(acc0v, x0v, c0v); + acc1v = vmlaq_f32(acc1v, x1v, c0v); + acc2v = vmlaq_f32(acc2v, x2v, c0v); + acc3v = vmlaq_f32(acc3v, x3v, c0v); + + /* Decrement the loop counter */ + tapCnt--; + } + + temp = vpadd_f32(vget_low_f32(acc0v),vget_high_f32(acc0v)); + accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,0); + + temp = vpadd_f32(vget_low_f32(acc1v),vget_high_f32(acc1v)); + accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,1); + + temp = vpadd_f32(vget_low_f32(acc2v),vget_high_f32(acc2v)); + accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,2); + + temp = vpadd_f32(vget_low_f32(acc3v),vget_high_f32(acc3v)); + accv = vsetq_lane_f32(vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1),accv,3); + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch state variables for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + accv = vsetq_lane_f32(vgetq_lane_f32(accv, 0) + x0 * c0,accv,0); + accv = vsetq_lane_f32(vgetq_lane_f32(accv, 1) + x1 * c0,accv,1); + accv = vsetq_lane_f32(vgetq_lane_f32(accv, 2) + x2 * c0,accv,2); + accv = vsetq_lane_f32(vgetq_lane_f32(accv, 3) + x3 * c0,accv,3); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + 4 * S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + vst1q_f32(pDst,accv); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + while (blkCntN4 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0v = vdupq_n_f32(0.0); + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + c0v = vld1q_f32(pb); + pb += 4; + + x0v = vld1q_f32(px); + px += 4; + + sum0v = vmlaq_f32(sum0v, x0v, c0v); + + /* Decrement the loop counter */ + tapCnt--; + } + + temp = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v)); + sum0 = vget_lane_f32(temp, 0) + vget_lane_f32(temp, 1); + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Decrement the loop counter */ + blkCntN4--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2; + + /* Copy data */ + while (i > 0U) + { + sum0v = vld1q_f32(pState); + vst1q_f32(pStateCurnt,sum0v); + pState += 4; + pStateCurnt += 4; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* Copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} +#else +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + float32_t *px0; /* Temporary pointer for state buffer */ + const float32_t *pb; /* Temporary pointer for coefficient buffer */ + float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ + float32_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t *px1, *px2, *px3; + float32_t x1, x2, x3; + float32_t acc1, acc2, acc3; +#endif + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 samples at a time */ + blkCnt = outBlockSize >> 2U; + + /* Samples loop unrolled by 4 */ + while (blkCnt > 0U) + { + /* Copy 4 * decimation factor number of new input samples into the state buffer */ + i = S->M * 4; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample for acc0 */ + x0 = *(px0++); + /* Read x[n-numTaps-1] sample for acc1 */ + x1 = *(px1++); + /* Read x[n-numTaps-1] sample for acc2 */ + x2 = *(px2++); + /* Read x[n-numTaps-1] sample for acc3 */ + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch state variables for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 4; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = acc0; + *pDst++ = acc1; + *pDst++ = acc2; + *pDst++ = acc3; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining samples */ + blkCnt = outBlockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = outBlockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0.0f; + + /* Initialize state pointer */ + px0 = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-1] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = acc0; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ + +#endif /*defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c new file mode 100644 index 0000000..948b15c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c @@ -0,0 +1,595 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_fast_q15.c + * Description: Fast Q15 FIR Decimator + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Processing function for the Q15 FIR decimator (fast variant). + @param[in] S points to an instance of the Q15 FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of input samples to process per call + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2). + The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. + @remark + Refer to \ref arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + Both the slow and the fast versions use the same instance structure. + Use function \ref arm_fir_decimate_init_q15() to initialize the filter structure. + */ + +#if defined (ARM_MATH_DSP) + +void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q31_t sum0; /* Accumulators */ + q31_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t c1; /* Temporary variables to hold state and coefficient values */ +#endif + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 2 * decimation factor number of new input samples into the state buffer */ + i = S->M * 2; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = read_q15x2_ia (&px0); + x1 = read_q15x2_ia (&px1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = read_q15x2_ia (&px0); + x1 = read_q15x2_ia (&px1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch state variables for acc0, acc1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */ + x0 = read_q15x2_ia (&px); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficients */ + c1 = read_q15x2_ia ((q15_t **) &pb); + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c0, sum0); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = read_q15x2_ia (&px); + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c1, sum0); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c0, sum0); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement loop counter */ + blkCntN3--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* Copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } + +} + +#else /* #if defined (ARM_MATH_DSP) */ + +void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q31_t sum0; /* Accumulators */ + q31_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 2 * decimation factor number of new input samples into the state buffer */ + i = S->M * 2; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + px1 = pState + S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-1] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } +} + +#endif /* #if defined (ARM_MATH_DSP) */ + +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c new file mode 100644 index 0000000..2c3a28a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c @@ -0,0 +1,390 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_fast_q31.c + * Description: Fast Q31 FIR Decimator + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Processing function for the Q31 FIR decimator (fast variant). + @param[in] S points to an instance of the Q31 FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are added to a 2.30 accumulator. + Finally, the accumulator is saturated and converted to a 1.31 result. + The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). + + @remark + Refer to \ref arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. + Both the slow and the fast versions use the same instance structure. + Use function \ref arm_fir_decimate_init_q31() to initialize the filter structure. + */ + +void arm_fir_decimate_fast_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + q31_t *px0; /* Temporary pointer for state buffer */ + const q31_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + q63_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t *px1, *px2, *px3; + q31_t x1, x2, x3; + q63_t acc1, acc2, acc3; +#endif + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 samples at a time */ + blkCnt = outBlockSize >> 2U; + + /* Samples loop unrolled by 4 */ + while (blkCnt > 0U) + { + /* Copy 4 * decimation factor number of new input samples into the state buffer */ + i = S->M * 4; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample for acc0 */ + x0 = *(px0++); + /* Read x[n-numTaps-1] sample for acc1 */ + x1 = *(px1++); + /* Read x[n-numTaps-1] sample for acc2 */ + x2 = *(px2++); + /* Read x[n-numTaps-1] sample for acc3 */ + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch state variables for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 4; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + *pDst++ = (q31_t) (acc1 << 1); + *pDst++ = (q31_t) (acc2 << 1); + *pDst++ = (q31_t) (acc3 << 1); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining samples */ + blkCnt = outBlockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = outBlockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px0 = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-1] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-3] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_f32.c new file mode 100644 index 0000000..9382f09 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_f32.c @@ -0,0 +1,105 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_f32.c + * Description: Floating-point FIR Decimator initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Initialization function for the floating-point FIR decimator. + @param[in,out] S points to an instance of the floating-point FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to the array of state variables. + pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32(). + M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation Factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q15.c new file mode 100644 index 0000000..f583a03 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q15.c @@ -0,0 +1,106 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_q15.c + * Description: Initialization function for the Q15 FIR Decimator + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Initialization function for the Q15 FIR decimator. + @param[in,out] S points to an instance of the Q15 FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to the array of state variables. + pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples + to the call arm_fir_decimate_q15(). + M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation Factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q31.c new file mode 100644 index 0000000..5ee69c6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_init_q31.c @@ -0,0 +1,105 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_q31.c + * Description: Initialization function for Q31 FIR Decimation filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Initialization function for the Q31 FIR decimator. + @param[in,out] S points to an instance of the Q31 FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to the array of state variables. + pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31(). + M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation Factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q15.c new file mode 100644 index 0000000..0bcd0bd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q15.c @@ -0,0 +1,852 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_q15.c + * Description: Q15 FIR Decimator + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Processing function for the Q15 FIR decimator. + @param[in] S points to an instance of the Q15 FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of input samples to process per call + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + + @remark + Refer to \ref arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + const q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + uint32_t blkCntN4; + const q15_t *px0, *px1, *px2, *px3; + q63_t acc0v, acc1v, acc2v, acc3v; + q15x8_t x0v, x1v, x2v, x3v; + q15x8_t c0v; + + /* + * S->pState buffer contains previous frame (numTaps - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + (numTaps - 1U); + /* + * Total number of output samples to be computed + */ + blkCnt = outBlockSize / 4; + blkCntN4 = outBlockSize - (4 * blkCnt); + + while (blkCnt > 0U) + { + /* + * Need extra temp variables as 4 * S->M is not necessarily a multiple of 8 + * and cause final tail predicated post incremented pointers to jump ahead + */ + const q15_t *pSrcTmp = pSrc; + q15_t *pStateCurntTmp = pStateCurnt; + + /* + * Copy 4 * decimation factor number of new input samples into the state buffer + */ + i = (4 * S->M) >> 3; + while (i > 0U) + { + vstrhq_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp)); + pSrcTmp += 8; + pStateCurntTmp += 8; + i--; + } + i = (4 * S->M) & 7; + if (i > 0U) + { + mve_pred16_t p0 = vctp16q(i); + vstrhq_p_s16(pStateCurntTmp, vldrhq_s16(pSrcTmp), p0); + } + + pSrc += (4 * S->M); + pStateCurnt += (4 * S->M); + + /* + * Clear all accumulators + */ + acc0v = 0LL; + acc1v = 0LL; + acc2v = 0LL; + acc3v = 0LL; + /* + * Initialize state pointer for all the samples + */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + /* + * Initialize coeff. pointer + */ + pb = pCoeffs; + + tapCnt = numTaps >> 3; + /* + * Loop over the number of taps. Unroll by a factor of 4. + * Repeat until we've computed numTaps-4 coefficients. + */ + while (tapCnt > 0U) + { + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vldrhq_s16(pb); + pb += 8; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 8; + px1 += 8; + px2 += 8; + px3 += 8; + + acc0v = vmlaldavaq(acc0v, x0v, c0v); + acc1v = vmlaldavaq(acc1v, x1v, c0v); + acc2v = vmlaldavaq(acc2v, x2v, c0v); + acc3v = vmlaldavaq(acc3v, x3v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + + /* + * If the filter length is not a multiple of 4, compute the remaining filter taps + * should be tail predicated + */ + tapCnt = numTaps & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vldrhq_z_s16(pb, p0); + pb += 8; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 8; + px1 += 8; + px2 += 8; + px3 += 8; + + acc0v = vmlaldavaq(acc0v, x0v, c0v); + acc1v = vmlaldavaq(acc1v, x1v, c0v); + acc2v = vmlaldavaq(acc2v, x2v, c0v); + acc3v = vmlaldavaq(acc3v, x3v, c0v); + } + + acc0v = asrl(acc0v, 15); + acc1v = asrl(acc1v, 15); + acc2v = asrl(acc2v, 15); + acc3v = asrl(acc3v, 15); + /* + * store in the destination buffer. + */ + *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16); + *pDst++ = (q15_t) __SSAT((q31_t) acc1v, 16);; + *pDst++ = (q15_t) __SSAT((q31_t) acc2v, 16);; + *pDst++ = (q15_t) __SSAT((q31_t) acc3v, 16);; + + /* + * Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples + */ + pState = pState + 4 * S->M; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + while (blkCntN4 > 0U) + { + /* + * Copy decimation factor number of new input samples into the state buffer + */ + i = S->M; + do + { + *pStateCurnt++ = *pSrc++; + } + while (--i); + /* + * Set accumulator to zero + */ + acc0v = 0LL; + /* + * Initialize state pointer + */ + px = pState; + /* + * Initialize coeff. pointer + */ + pb = pCoeffs; + + tapCnt = numTaps >> 3; + while (tapCnt > 0U) + { + c0v = vldrhq_s16(pb); + x0v = vldrhq_s16(px); + pb += 8; + px += 8; + acc0v = vmlaldavaq(acc0v, x0v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + + tapCnt = numTaps & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + c0v = vldrhq_z_s16(pb, p0); + x0v = vldrhq_z_s16(px, p0); + acc0v = vmlaldavaq_p(acc0v, x0v, c0v, p0); + } + + acc0v = asrl(acc0v, 15); + + /* + * Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples + */ + pState = pState + S->M; + /* + * The result is in the accumulator, store in the destination buffer. + */ + *pDst++ = (q15_t) __SSAT((q31_t) acc0v, 16); + /* + * Decrement the loop counter + */ + blkCntN4--; + } + + /* + * Processing is complete. + * Now copy the last numTaps - 1 samples to the start of the state buffer. + * This prepares the state buffer for the next function call. + */ + + pStateCurnt = S->pState; + blkCnt = (numTaps - 1) >> 3; + while (blkCnt > 0U) + { + vstrhq_s16(pStateCurnt, vldrhq_s16(pState)); + pState += 8; + pStateCurnt += 8; + blkCnt--; + } + blkCnt = (numTaps - 1) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0); + } +} +#else +#if defined (ARM_MATH_DSP) + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q63_t sum0; /* Accumulators */ + q63_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t c1; /* Temporary variables to hold state and coefficient values */ +#endif + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 2 * decimation factor number of new input samples into the state buffer */ + i = S->M * 2; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = read_q15x2_ia (&px0); + x1 = read_q15x2_ia (&px1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = read_q15x2_ia (&px0); + x1 = read_q15x2_ia (&px1); + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch state variables for acc0, acc1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */ + x0 = read_q15x2_ia (&px); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficients */ + c1 = read_q15x2_ia ((q15_t **) &pb); + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c0, sum0); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = read_q15x2_ia (&px); + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c1, sum0); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c0, sum0); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement loop counter */ + blkCntN3--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* Copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } + +} + +#else /* #if defined (ARM_MATH_DSP) */ + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q63_t sum0; /* Accumulators */ + q63_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 2 * decimation factor number of new input samples into the state buffer */ + i = S->M * 2; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + px1 = pState + S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-1] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + i--; + } +} + +#endif /* #if defined (ARM_MATH_DSP) */ +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q31.c new file mode 100644 index 0000000..b88748e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_decimate_q31.c @@ -0,0 +1,634 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_q31.c + * Description: Q31 FIR Decimator + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_decimate + @{ + */ + +/** + @brief Processing function for the Q31 FIR decimator. + @param[in] S points to an instance of the Q31 FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + + @remark + Refer to \ref arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + const q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + uint32_t blkCntN4; + const q31_t *px0, *px1, *px2, *px3; + q63_t acc0v, acc1v, acc2v, acc3v; + q31x4_t x0v, x1v, x2v, x3v; + q31x4_t c0v; + + /* + * S->pState buffer contains previous frame (numTaps - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + (numTaps - 1U); + /* + * Total number of output samples to be computed + */ + blkCnt = outBlockSize / 4; + blkCntN4 = outBlockSize - (4 * blkCnt); + + while (blkCnt > 0U) + { + /* + * Copy 4 * decimation factor number of new input samples into the state buffer + */ + i = (4 * S->M) >> 2; + do + { + vst1q(pStateCurnt, vldrwq_s32(pSrc)); + pSrc += 4; + pStateCurnt += 4; + i--; + } + while (i > 0U); + + /* + * Clear all accumulators + */ + acc0v = 0LL; + acc1v = 0LL; + acc2v = 0LL; + acc3v = 0LL; + /* + * Initialize state pointer for all the samples + */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + /* + * Initialize coeff. pointer + */ + pb = pCoeffs; + /* + * Loop unrolling. Process 4 taps at a time. + */ + tapCnt = numTaps >> 2; + /* + * Loop over the number of taps. Unroll by a factor of 4. + * Repeat until we've computed numTaps-4 coefficients. + */ + while (tapCnt > 0U) + { + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vldrwq_s32(pb); + pb += 4; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 4; + px1 += 4; + px2 += 4; + px3 += 4; + + acc0v = vrmlaldavhaq(acc0v, x0v, c0v); + acc1v = vrmlaldavhaq(acc1v, x1v, c0v); + acc2v = vrmlaldavhaq(acc2v, x2v, c0v); + acc3v = vrmlaldavhaq(acc3v, x3v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + + /* + * If the filter length is not a multiple of 4, compute the remaining filter taps + * should be tail predicated + */ + tapCnt = numTaps % 0x4U; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + /* + * Read the b[numTaps-1] coefficient + */ + c0v = vldrwq_z_s32(pb, p0); + pb += 4; + /* + * Read x[n-numTaps-1] sample for acc0 + */ + x0v = vld1q(px0); + x1v = vld1q(px1); + x2v = vld1q(px2); + x3v = vld1q(px3); + px0 += 4; + px1 += 4; + px2 += 4; + px3 += 4; + + acc0v = vrmlaldavhaq(acc0v, x0v, c0v); + acc1v = vrmlaldavhaq(acc1v, x1v, c0v); + acc2v = vrmlaldavhaq(acc2v, x2v, c0v); + acc3v = vrmlaldavhaq(acc3v, x3v, c0v); + } + + acc0v = asrl(acc0v, 31 - 8); + acc1v = asrl(acc1v, 31 - 8); + acc2v = asrl(acc2v, 31 - 8); + acc3v = asrl(acc3v, 31 - 8); + /* + * store in the destination buffer. + */ + *pDst++ = (q31_t) acc0v; + *pDst++ = (q31_t) acc1v; + *pDst++ = (q31_t) acc2v; + *pDst++ = (q31_t) acc3v; + + /* + * Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples + */ + pState = pState + 4 * S->M; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + while (blkCntN4 > 0U) + { + /* + * Copy decimation factor number of new input samples into the state buffer + */ + i = S->M; + do + { + *pStateCurnt++ = *pSrc++; + } + while (--i); + /* + * Set accumulator to zero + */ + acc0v = 0LL; + /* + * Initialize state pointer + */ + px = pState; + /* + * Initialize coeff. pointer + */ + pb = pCoeffs; + /* + * Loop unrolling. Process 4 taps at a time. + */ + tapCnt = numTaps >> 2; + /* + * Loop over the number of taps. Unroll by a factor of 4. + * Repeat until we've computed numTaps-4 coefficients. + */ + while (tapCnt > 0U) + { + c0v = vldrwq_s32(pb); + x0v = vldrwq_s32(px); + pb += 4; + px += 4; + acc0v = vrmlaldavhaq(acc0v, x0v, c0v); + /* + * Decrement the loop counter + */ + tapCnt--; + } + tapCnt = numTaps % 0x4U; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + c0v = vldrwq_z_s32(pb, p0); + x0v = vldrwq_z_s32(px, p0); + acc0v = vrmlaldavhaq_p(acc0v, x0v, c0v, p0); + } + acc0v = asrl(acc0v, 31 - 8); + + /* + * Advance the state pointer by the decimation factor + * * to process the next group of decimation factor number samples + */ + pState = pState + S->M; + /* + * The result is in the accumulator, store in the destination buffer. + */ + *pDst++ = (q31_t) acc0v; + /* + * Decrement the loop counter + */ + blkCntN4--; + } + + /* + * Processing is complete. + * Now copy the last numTaps - 1 samples to the start of the state buffer. + * This prepares the state buffer for the next function call. + */ + pStateCurnt = S->pState; + blkCnt = (numTaps - 1) >> 2; + while (blkCnt > 0U) + { + vst1q(pStateCurnt, vldrwq_s32(pState)); + pState += 4; + pStateCurnt += 4; + blkCnt--; + } + blkCnt = (numTaps - 1) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0); + } +} +#else +void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + q31_t *px0; /* Temporary pointer for state buffer */ + const q31_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + q63_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t *px1, *px2, *px3; + q31_t x1, x2, x3; + q63_t acc1, acc2, acc3; +#endif + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (numTaps - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 samples at a time */ + blkCnt = outBlockSize >> 2U; + + /* Samples loop unrolled by 4 */ + while (blkCnt > 0U) + { + /* Copy 4 * decimation factor number of new input samples into the state buffer */ + i = S->M * 4; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample for acc0 */ + x0 = *(px0++); + /* Read x[n-numTaps-1] sample for acc1 */ + x1 = *(px1++); + /* Read x[n-numTaps-1] sample for acc2 */ + x2 = *(px2++); + /* Read x[n-numTaps-1] sample for acc3 */ + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch state variables for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 4; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31); + *pDst++ = (q31_t) (acc1 >> 31); + *pDst++ = (q31_t) (acc2 >> 31); + *pDst++ = (q31_t) (acc3 >> 31); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining samples */ + blkCnt = outBlockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = outBlockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCur++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px0 = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-1] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of FIR_decimate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_f32.c new file mode 100644 index 0000000..4ce8dfa --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_f32.c @@ -0,0 +1,1305 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_f32.c + * Description: Floating-point FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup FIR Finite Impulse Response (FIR) Filters + + This set of functions implements Finite Impulse Response (FIR) filters + for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided. + The functions operate on blocks of input and output data and each call to the function processes + blockSize samples through the filter. pSrc and + pDst points to input and output arrays containing blockSize values. + + @par Algorithm + The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations. + Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n]. + 
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+
+ @par + \image html FIR.GIF "Finite Impulse Response filter" + @par + pCoeffs points to a coefficient array of size numTaps. + Coefficients are stored in time reversed order. + @par + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to a state array of size numTaps + blockSize - 1. + Samples in the state buffer are stored in the following order. + @par + 
+      {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par + Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1. + The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters, + to be avoided and yields a significant speed improvement. + The state variables are updated after each block of data is processed; the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + There are separate instance structure declarations for each of the 4 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numTaps, pCoeffs, pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + The code below statically initializes each of the 4 different data type filter instance structures + 
+      arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer; + pCoeffs is the address of the coefficient buffer. + @par Initialization of Helium version + For Helium version the array of coefficients must be a multiple of 16 even if less + then 16 coefficients are used. The additional coefficients must be set to 0. + It does not mean that all the coefficients will be used in the filter (numTaps + is still set to its right value in the init function.) It just means that + the implementation may require to read more coefficients due to the vectorization and + to avoid having to manage too many different cases in the code. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the FIR filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for floating-point FIR filter. + @param[in] S points to an instance of the floating-point FIR filter structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +static void arm_fir_f32_1_4_mve(const arm_fir_instance_f32 * S, const float32_t * pSrc, float32_t * pDst, uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + const float32_t *pSamples; /* Temporary pointer to the sample buffer */ + float32_t *pOutput; /* Temporary pointer to the output buffer */ + const float32_t *pTempSrc; /* Temporary pointer to the source data */ + float32_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + f32x4_t vecIn0; + f32x4_t vecAcc0; + float32_t c0, c1, c2, c3; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pSamples = pState; + pTempSrc = pSrc; + pOutput = pDst; + + if (((numTaps - 1) / 4) == 0) + { + const float32_t *pCoeffsCur = pCoeffs; + + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vst1q(pOutput, vecAcc0); + + pOutput += 4; + pSamples += 4; + + blkCnt--; + } + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vstrwq_p_f32(pStateCur, vld1q(pTempSrc),p0); + pStateCur += blkCnt; + pTempSrc += blkCnt; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vstrwq_p_f32(pOutput, vecAcc0, p0); + } + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0); + } +} + + +static void arm_fir_f32_5_8_mve(const arm_fir_instance_f32 * S, const float32_t * pSrc, float32_t * pDst, uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + const float32_t *pSamples; /* Temporary pointer to the sample buffer */ + float32_t *pOutput; /* Temporary pointer to the output buffer */ + const float32_t *pTempSrc; /* Temporary pointer to the source data */ + float32_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + f32x4_t vecIn0; + f32x4_t vecAcc0; + float32_t c0, c1, c2, c3; + float32_t c4, c5, c6, c7; + const float32_t *pCoeffsCur = pCoeffs; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + + pSamples = pState; + pOutput = pDst; + + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + c4 = *pCoeffsCur++; + c5 = *pCoeffsCur++; + c6 = *pCoeffsCur++; + c7 = *pCoeffsCur++; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + vst1q(pOutput, vecAcc0); + + pOutput += 4; + pSamples += 4; + + blkCnt--; + } + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vstrwq_p_f32(pStateCur, vld1q(pTempSrc),p0); + pStateCur += blkCnt; + pTempSrc += blkCnt; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + vstrwq_p_f32(pOutput, vecAcc0, p0); + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0); + } +} + + +void arm_fir_f32( +const arm_fir_instance_f32 * S, +const float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + const float32_t *pSamples; /* Temporary pointer to the sample buffer */ + float32_t *pOutput; /* Temporary pointer to the output buffer */ + const float32_t *pTempSrc; /* Temporary pointer to the source data */ + float32_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + int32_t numCnt; + f32x4_t vecIn0; + f32x4_t vecAcc0; + float32_t c0, c1, c2, c3; + float32_t c4, c5, c6, c7; + + /* + * [1 to 8 taps] specialized routines + */ + if (blockSize >= 8) + { + if (numTaps <= 4) + { + arm_fir_f32_1_4_mve(S, pSrc, pDst, blockSize); + return; + } + } + if (blockSize >= 8) + { + if (numTaps <= 8) + { + arm_fir_f32_5_8_mve(S, pSrc, pDst, blockSize); + return; + } + } + + if (blockSize >= 8) + { + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + pSamples = pState; + pOutput = pDst; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + int32_t i; + const float32_t *pCoeffsCur = pCoeffs; + + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + c4 = *pCoeffsCur++; + c5 = *pCoeffsCur++; + c6 = *pCoeffsCur++; + c7 = *pCoeffsCur++; + + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + pSamples += 8; + + numCnt = ((int32_t)numTaps - 8) / 8; + + for (i = 0; i < numCnt; i++) + { + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + c4 = *pCoeffsCur++; + c5 = *pCoeffsCur++; + c6 = *pCoeffsCur++; + c7 = *pCoeffsCur++; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + pSamples += 8; + } + + numCnt = ((int32_t)numTaps - 8) & 7; + + while (numCnt > 0) + { + c0 = *pCoeffsCur++; + vecIn0 = vld1q(pSamples); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c0); + pSamples ++; + + numCnt --; + } + + vst1q(pOutput, vecAcc0); + pOutput += 4; + pSamples = pSamples - numTaps + 4; + + blkCnt--; + } + + blkCnt = blockSize & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + int32_t i; + const float32_t *pCoeffsCur = pCoeffs; + + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + c4 = *pCoeffsCur++; + c5 = *pCoeffsCur++; + c6 = *pCoeffsCur++; + c7 = *pCoeffsCur++; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vmulq(vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + pSamples += 8; + + numCnt = ((int32_t)numTaps - 8) / 8; + + for (i = 0; i < numCnt; i++) + { + c0 = *pCoeffsCur++; + c1 = *pCoeffsCur++; + c2 = *pCoeffsCur++; + c3 = *pCoeffsCur++; + c4 = *pCoeffsCur++; + c5 = *pCoeffsCur++; + c6 = *pCoeffsCur++; + c7 = *pCoeffsCur++; + + vecIn0 = vld1q(pSamples); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c0); + + vecIn0 = vld1q(&pSamples[1]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c1); + + vecIn0 = vld1q(&pSamples[2]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c2); + + vecIn0 = vld1q(&pSamples[3]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c3); + + vecIn0 = vld1q(&pSamples[4]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c4); + + vecIn0 = vld1q(&pSamples[5]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c5); + + vecIn0 = vld1q(&pSamples[6]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c6); + + vecIn0 = vld1q(&pSamples[7]); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c7); + + pSamples += 8; + } + + numCnt = ((int32_t)numTaps - 8) & 7; + + while (numCnt > 0) + { + c0 = *pCoeffsCur++; + vecIn0 = vld1q(pSamples); + vecAcc0 = vfmaq(vecAcc0, vecIn0, c0); + pSamples ++; + + numCnt --; + } + + vstrwq_p_f32(pOutput, vecAcc0, p0); + } + } + else + { + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px; /* Temporary pointer for state buffer */ + const float32_t *pb; /* Temporary pointer for coefficient buffer */ + float32_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, blkCnt; /* Loop counters */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + blkCnt = blockSize; + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + while (i > 0U) + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += *px++ * *pb++; + + i--; + } + + + /* Store result in destination buffer. */ + *pDst++ = acc0; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pTempDest, vld1q(pTempSrc), p0); + } +} + +#else +#if defined(ARM_MATH_NEON) + +void arm_fir_f32( +const arm_fir_instance_f32 * S, +const float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px; /* Temporary pointers for state buffer */ + const float32_t *pb; /* Temporary pointers for coefficient buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + float32x4_t accv0,accv1,samples0,samples1,x0,x1,x2,xa,xb,b; + float32_t acc; + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop unrolling */ + blkCnt = blockSize >> 3; + + while (blkCnt > 0U) + { + /* Copy 8 samples at a time into state buffers */ + samples0 = vld1q_f32(pSrc); + vst1q_f32(pStateCurnt,samples0); + + pStateCurnt += 4; + pSrc += 4 ; + + samples1 = vld1q_f32(pSrc); + vst1q_f32(pStateCurnt,samples1); + + pStateCurnt += 4; + pSrc += 4 ; + + /* Set the accumulators to zero */ + accv0 = vdupq_n_f32(0); + accv1 = vdupq_n_f32(0); + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Loop unroling */ + i = numTaps >> 2; + + /* Perform the multiply-accumulates */ + x0 = vld1q_f32(px); + x1 = vld1q_f32(px + 4); + + while(i > 0) + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + x2 = vld1q_f32(px + 8); + b = vld1q_f32(pb); + xa = x0; + xb = x1; + accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 0)); + accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 0)); + + xa = vextq_f32(x0,x1,1); + xb = vextq_f32(x1,x2,1); + + accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 1)); + accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 1)); + + xa = vextq_f32(x0,x1,2); + xb = vextq_f32(x1,x2,2); + + accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 2)); + accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 2)); + + xa = vextq_f32(x0,x1,3); + xb = vextq_f32(x1,x2,3); + + accv0 = vmlaq_n_f32(accv0,xa,vgetq_lane_f32(b, 3)); + accv1 = vmlaq_n_f32(accv1,xb,vgetq_lane_f32(b, 3)); + + pb += 4; + x0 = x1; + x1 = x2; + px += 4; + i--; + + } + + /* Tail */ + i = numTaps & 3; + x2 = vld1q_f32(px + 8); + + /* Perform the multiply-accumulates */ + switch(i) + { + case 3: + { + accv0 = vmlaq_n_f32(accv0,x0,*pb); + accv1 = vmlaq_n_f32(accv1,x1,*pb); + + pb++; + + xa = vextq_f32(x0,x1,1); + xb = vextq_f32(x1,x2,1); + + accv0 = vmlaq_n_f32(accv0,xa,*pb); + accv1 = vmlaq_n_f32(accv1,xb,*pb); + + pb++; + + xa = vextq_f32(x0,x1,2); + xb = vextq_f32(x1,x2,2); + + accv0 = vmlaq_n_f32(accv0,xa,*pb); + accv1 = vmlaq_n_f32(accv1,xb,*pb); + + } + break; + case 2: + { + accv0 = vmlaq_n_f32(accv0,x0,*pb); + accv1 = vmlaq_n_f32(accv1,x1,*pb); + + pb++; + + xa = vextq_f32(x0,x1,1); + xb = vextq_f32(x1,x2,1); + + accv0 = vmlaq_n_f32(accv0,xa,*pb); + accv1 = vmlaq_n_f32(accv1,xb,*pb); + + } + break; + case 1: + { + + accv0 = vmlaq_n_f32(accv0,x0,*pb); + accv1 = vmlaq_n_f32(accv1,x1,*pb); + + } + break; + default: + break; + } + + /* The result is stored in the destination buffer. */ + vst1q_f32(pDst,accv0); + pDst += 4; + vst1q_f32(pDst,accv1); + pDst += 4; + + /* Advance state pointer by 8 for the next 8 samples */ + pState = pState + 8; + + blkCnt--; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc += *px++ * *pb++; + i--; + + } while (i > 0U); + + /* The result is stored in the destination buffer. */ + *pDst++ = acc; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the starting of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Copy numTaps number of values */ + tapCnt = numTaps - 1U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} +#else +void arm_fir_f32( + const arm_fir_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px; /* Temporary pointer for state buffer */ + const float32_t *pb; /* Temporary pointer for coefficient buffer */ + float32_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */ + float32_t x0, x1, x2, x3, x4, x5, x6, x7; /* Temporary variables to hold state values */ + float32_t c0; /* Temporary variable to hold coefficient value */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 8 output values simultaneously. + * The variables acc0 ... acc7 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + + blkCnt = blockSize >> 3U; + + while (blkCnt > 0U) + { + /* Copy 4 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + acc4 = 0.0f; + acc5 = 0.0f; + acc6 = 0.0f; + acc7 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* This is separated from the others to avoid + * a call to __aeabi_memmove which would be slower + */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Read the first 7 samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + x3 = *px++; + x4 = *px++; + x5 = *px++; + x6 = *px++; + + /* Loop unrolling: process 8 taps at a time. */ + tapCnt = numTaps >> 3U; + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x7 = *(px++); + + /* acc0 += b[numTaps-1] * x[n-numTaps] */ + acc0 += x0 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-1] */ + acc1 += x1 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-2] */ + acc2 += x2 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-3] */ + acc3 += x3 * c0; + + /* acc4 += b[numTaps-1] * x[n-numTaps-4] */ + acc4 += x4 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-5] */ + acc5 += x5 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-6] */ + acc6 += x6 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-7] */ + acc7 += x7 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + acc0 += x1 * c0; + acc1 += x2 * c0; + acc2 += x3 * c0; + acc3 += x4 * c0; + acc4 += x5 * c0; + acc5 += x6 * c0; + acc6 += x7 * c0; + acc7 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x2 * c0; + acc1 += x3 * c0; + acc2 += x4 * c0; + acc3 += x5 * c0; + acc4 += x6 * c0; + acc5 += x7 * c0; + acc6 += x0 * c0; + acc7 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x3 * c0; + acc1 += x4 * c0; + acc2 += x5 * c0; + acc3 += x6 * c0; + acc4 += x7 * c0; + acc5 += x0 * c0; + acc6 += x1 * c0; + acc7 += x2 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x3 = *(px++); + /* Perform the multiply-accumulates */ + acc0 += x4 * c0; + acc1 += x5 * c0; + acc2 += x6 * c0; + acc3 += x7 * c0; + acc4 += x0 * c0; + acc5 += x1 * c0; + acc6 += x2 * c0; + acc7 += x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x4 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x5 * c0; + acc1 += x6 * c0; + acc2 += x7 * c0; + acc3 += x0 * c0; + acc4 += x1 * c0; + acc5 += x2 * c0; + acc6 += x3 * c0; + acc7 += x4 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x5 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x6 * c0; + acc1 += x7 * c0; + acc2 += x0 * c0; + acc3 += x1 * c0; + acc4 += x2 * c0; + acc5 += x3 * c0; + acc6 += x4 * c0; + acc7 += x5 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x6 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x7 * c0; + acc1 += x0 * c0; + acc2 += x1 * c0; + acc3 += x2 * c0; + acc4 += x3 * c0; + acc5 += x4 * c0; + acc6 += x5 * c0; + acc7 += x6 * c0; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = numTaps % 0x8U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x7 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + acc4 += x4 * c0; + acc5 += x5 * c0; + acc6 += x6 * c0; + acc7 += x7 * c0; + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + x3 = x4; + x4 = x5; + x5 = x6; + x6 = x7; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by 8 to process the next group of 8 samples */ + pState = pState + 8; + + /* The results in the 8 accumulators, store in the destination buffer. */ + *pDst++ = acc0; + *pDst++ = acc1; + *pDst++ = acc2; + *pDst++ = acc3; + *pDst++ = acc4; + *pDst++ = acc5; + *pDst++ = acc6; + *pDst++ = acc7; + + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x8U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + while (i > 0U) + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += *px++ * *pb++; + + i--; + } + + /* Store result in destination buffer. */ + *pDst++ = acc0; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** +* @} end of FIR group +*/ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q15.c new file mode 100644 index 0000000..5f8df95 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q15.c @@ -0,0 +1,332 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_fast_q15.c + * Description: Q15 Fast FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for the Q15 FIR filter (fast version). + @param[in] S points to an instance of the Q15 FIR filter structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + This fast version uses a 32-bit accumulator with 2.30 format. + The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. + + @remark + Refer to \ref arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. + Use function \ref arm_fir_init_q15() to initialize the filter structure. + */ + +void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy 4 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ + px = pState; + + /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ + x0 = read_q15x2_ia (&px); + + /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ + x2 = read_q15x2_ia (&px); + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numTaps-(numTaps%4) coefficients. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc0 = __SMLAD(x0, c0, acc0); + + /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ + acc2 = __SMLAD(x2, c0, acc2); + + /* pack x[n-N-1] and x[n-N-2] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read state x[n-N-4], x[n-N-5] */ + x0 = read_q15x2_ia (&px); + + /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack x[n-N-3] and x[n-N-4] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ + acc3 = __SMLADX(x1, c0, acc3); + + /* Read coefficients b[N-2], b[N-3] */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ + acc0 = __SMLAD(x2, c0, acc0); + + /* Read state x[n-N-6], x[n-N-7] with offset */ + x2 = read_q15x2_ia (&px); + + /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ + acc2 = __SMLAD(x0, c0, acc2); + + /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack x[n-N-5] and x[n-N-6] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ + acc3 = __SMLADX(x1, c0, acc3); + + /* Decrement tap count */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps. + This is always be 2 taps since the filter length is even. */ + if ((numTaps & 0x3U) != 0U) + { + /* Read last two coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc2 = __SMLAD(x2, c0, acc2); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read last state variables */ + x0 = read_q15x2 (px); + + /* Perform the multiply-accumulates */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* Perform the multiply-accumulates */ + acc3 = __SMLADX(x1, c0, acc3); + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. + Then store the 4 outputs in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Use SIMD to hold states and coefficients */ + px = pState; + pb = pCoeffs; + + tapCnt = numTaps >> 1U; + + do + { + acc0 += (q31_t) *px++ * *pb++; + acc0 += (q31_t) *px++ * *pb++; + + tapCnt--; + } + while (tapCnt > 0U); + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q31.c new file mode 100644 index 0000000..513cb72 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_fast_q31.c @@ -0,0 +1,324 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_fast_q31.c + * Description: Processing function for the Q31 Fast FIR filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for the Q31 FIR filter (fast version). + @param[in] S points to an instance of the Q31 structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + This function is optimized for speed at the expense of fixed-point precision and overflow protection. + The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + These intermediate results are added to a 2.30 accumulator. + Finally, the accumulator is saturated and converted to a 1.31 result. + The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + + @remark + Refer to \ref arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure. + Use function \ref arm_fir_init_q31() to initialize the filter structure. + */ + +IAR_ONLY_LOW_OPTIMIZATION_ENTER +void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px; /* Temporary pointer for state buffer */ + const q31_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy 4 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first 3 samples from the state buffer: + * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-3] sample */ + x3 = *px; + + /* acc0 += b[numTaps] * x[n-numTaps] */ + multAcc_32x32_keep32_R(acc0, x0, c0); + + /* acc1 += b[numTaps] * x[n-numTaps-1] */ + multAcc_32x32_keep32_R(acc1, x1, c0); + + /* acc2 += b[numTaps] * x[n-numTaps-2] */ + multAcc_32x32_keep32_R(acc2, x2, c0); + + /* acc3 += b[numTaps] * x[n-numTaps-3] */ + multAcc_32x32_keep32_R(acc3, x3, c0); + + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb + 1U); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x1, c0); + multAcc_32x32_keep32_R(acc1, x2, c0); + multAcc_32x32_keep32_R(acc2, x3, c0); + multAcc_32x32_keep32_R(acc3, x0, c0); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb + 2U); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x2, c0); + multAcc_32x32_keep32_R(acc1, x3, c0); + multAcc_32x32_keep32_R(acc2, x0, c0); + multAcc_32x32_keep32_R(acc3, x1, c0); + + /* Read the b[numTaps-3] coefficients */ + c0 = *(pb + 3U); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px + 3U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x3, c0); + multAcc_32x32_keep32_R(acc1, x0, c0); + multAcc_32x32_keep32_R(acc2, x1, c0); + multAcc_32x32_keep32_R(acc3, x2, c0); + + /* update coefficient pointer */ + pb += 4U; + px += 4U; + + /* Decrement loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x0, c0); + multAcc_32x32_keep32_R(acc1, x1, c0); + multAcc_32x32_keep32_R(acc2, x2, c0); + multAcc_32x32_keep32_R(acc3, x3, c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31 + Then store the 4 outputs in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + *pDst++ = (q31_t) (acc1 << 1); + *pDst++ = (q31_t) (acc2 << 1); + *pDst++ = (q31_t) (acc3 << 1); + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + multAcc_32x32_keep32_R(acc0, (*px++), (*pb++)); + i--; + } while (i > 0U); + + /* The result is in 2.30 format. Convert to 1.31 + Then store the output in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} +IAR_ONLY_LOW_OPTIMIZATION_EXIT +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_f32.c new file mode 100644 index 0000000..2405c3f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_f32.c @@ -0,0 +1,89 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_f32.c + * Description: Floating-point FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Initialization function for the floating-point FIR filter. + @param[in,out] S points to an instance of the floating-point FIR filter structure + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficients buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of samples processed per call + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to the array of state variables. + pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_f32(). + @par Initialization of Helium version + For Helium version the array of coefficients must be a multiple of 16 even if less + then 16 coefficients are used. The additional coefficients must be set to 0. + It does not mean that all the coefficients will be used in the filter (numTaps + is still set to its right value in the init function.) It just means that + the implementation may require to read more coefficients due to the vectorization and + to avoid having to manage too many different cases in the code. + + */ + +void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q15.c new file mode 100644 index 0000000..a5b2d06 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q15.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q15.c + * Description: Q15 FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Initialization function for the Q15 FIR filter. + @param[in,out] S points to an instance of the Q15 FIR filter structure. + @param[in] numTaps number of filter coefficients in the filter. Must be even and greater than or equal to 4. + @param[in] pCoeffs points to the filter coefficients buffer. + @param[in] pState points to the state buffer. + @param[in] blockSize number of samples processed per call. + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : numTaps is not greater than or equal to 4 and even + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ Note that numTaps must be even and greater than or equal to 4. + To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero. + For example, to implement a filter with numTaps=3 and coefficients + 
+      {0.3, -0.8, 0.3}
+
+ set numTaps=4 and use the coefficients: + 
+      {0.3, -0.8, 0.3, 0}.
+
+ Similarly, to implement a two point filter + 
+      {0.3, -0.3}
+
+ set numTaps=4 and use the coefficients: + 
+      {0.3, -0.3, 0, 0}.
+
+ pState points to the array of state variables. + pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3 and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15(). + */ + +arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + arm_status status; + +#if defined (ARM_MATH_DSP) + + /* The Number of filter coefficients in the filter must be even and at least 4 */ + if (numTaps & 0x1U) + { + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps ) */ + memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +#else + + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q31.c new file mode 100644 index 0000000..7d8376f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q31.c @@ -0,0 +1,80 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q31.c + * Description: Q31 FIR filter initialization function. + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Initialization function for the Q31 FIR filter. + @param[in,out] S points to an instance of the Q31 FIR filter structure + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficients buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of samples processed + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ pState points to the array of state variables. + pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q31(). + */ + +void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q7.c new file mode 100644 index 0000000..f96d250 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_init_q7.c @@ -0,0 +1,81 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q7.c + * Description: Q7 FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Initialization function for the Q7 FIR filter. + @param[in,out] S points to an instance of the Q7 FIR filter structure + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficients buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of samples processed + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to the array of state variables. + pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7(). + */ + +void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q7_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_f32.c new file mode 100644 index 0000000..a5fe0e6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_f32.c @@ -0,0 +1,1252 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_f32.c + * Description: Floating-point FIR interpolation sequences + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator + + These functions combine an upsampler (zero stuffer) and an FIR filter. + They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images. + Conceptually, the functions are equivalent to the block diagram below: + \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions" + After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized + cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum. + The user of the function is responsible for providing the filter coefficients. + + The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner. + The upsampler inserts L-1 zeros between each sample. + Instead of multiplying by these zero values, the FIR filter is designed to skip them. + This leads to an efficient implementation without any wasted effort. + The functions operate on blocks of input and output data. + pSrc points to an array of blockSize input values and + pDst points to an array of blockSize*L output values. + + The library provides separate functions for Q15, Q31, and floating-point data types. + + @par Algorithm + The functions use a polyphase filter structure: + 
+      y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]
+      y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]
+      ...
+      y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]
+
+ This approach is more efficient than straightforward upsample-then-filter algorithms. + With this method the computation is reduced by a factor of 1/L when compared to using a standard FIR filter. + @par + pCoeffs points to a coefficient array of size numTaps. + numTaps must be a multiple of the interpolation factor L and this is checked by the + initialization functions. + Internally, the function divides the FIR filter's impulse response into shorter filters of length + phaseLength=numTaps/L. + Coefficients are stored in time reversed order. + 
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to a state array of size blockSize + phaseLength - 1. + Samples in the state buffer are stored in the order: + 
+     {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par + The state variables are updated after each block of data is processed, the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable array should be allocated separately. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + - Checks to make sure that the length of the filter is a multiple of the interpolation factor. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + The code below statically initializes each of the 3 different data type filter instance structures + 
+      arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};
+      arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};
+      arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};
+
+ @par + where L is the interpolation factor; phaseLength=numTaps/L is the + length of each of the shorter FIR filters used internally, + pCoeffs is the address of the coefficient buffer; + pState is the address of the state buffer. + Be sure to set the values in the state buffer to zeros when doing static initialization. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the FIR interpolate filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Processing function for floating-point FIR interpolator. + @param[in] S points to an instance of the floating-point FIR interpolator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +static void arm_fir_interpolate2_f32_mve( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + uint32_t tapCnt; + uint32_t blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t strides[4] = { 0, 1 * 2, 2 * 2, 3 * 2 }; + uint32x4_t vec_strides0 = *(uint32x4_t *) strides; + uint32x4_t vec_strides1 = vec_strides0 + 1; + f32x4_t acc0, acc1; + + /* + * S->pState buffer contains previous frame (phaseLen - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + (phaseLen - 1U); + /* + * Total number of intput samples + */ + blkCnt = blockSize; + /* + * Loop over the blockSize. + */ + while (blkCnt > 0U) + { + /* + * Copy new input sample into the state buffer + */ + *pStateCurnt++ = *pSrc++; + /* + * Initialize state pointer + */ + ptr1 = pState; + + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs; + + tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + f32x4_t vecCoef, vecState; + + vecState = vldrwq_f32(ptr1); + + vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides1); + acc1 = vfmaq_f32(acc1, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides0); + acc0 = vfmaq_f32(acc0, vecState, vecCoef); + + ptr2 += 4 * 2; + ptr1 += 4; + /* + * Decrement the loop counter + */ + tapCnt--; + } + + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + f32x4_t vecCoef, vecState; + + vecState = vldrwq_z_f32(ptr1, p0); + + vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides1, p0); + acc1 = vfmaq_f32(acc1, vecState, vecCoef); + vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides0, p0); + acc0 = vfmaq_f32(acc0, vecState, vecCoef); + + } + *pDst++ = vecAddAcrossF32Mve(acc1); + *pDst++ = vecAddAcrossF32Mve(acc0); + + /* + * Advance the state pointer by 1 + * * to process the next group of interpolation factor number samples + */ + pState = pState + 1; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + /* + * Processing is complete. + * ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + * ** This prepares the state buffer for the next function call. + */ + + /* + * Points to the start of the state buffer + */ + pStateCurnt = S->pState; + blkCnt = (phaseLen - 1U) >> 2; + while (blkCnt > 0U) + { + vst1q(pStateCurnt, vldrwq_f32(pState)); + pState += 4; + pStateCurnt += 4; + blkCnt--; + } + blkCnt = (phaseLen - 1U) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0); + } +} + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + const float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + uint32_t tapCnt; + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L }; + uint32_t stridesM[4] = { 4, 3, 2, 1 }; + uint32x4_t vec_stridesM = *(uint32x4_t *) stridesM; + uint32x4_t vec_strides = *(uint32x4_t *) strides; + f32x4_t acc; + + + if ( S->L == 2 ) { + arm_fir_interpolate2_f32_mve(S, pSrc, pDst, blockSize); + return; + } + + /* + * S->pState buffer contains previous frame (phaseLen - 1) samples + */ + /* + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + (phaseLen - 1U); + /* + * Total number of intput samples + */ + blkCnt = blockSize; + /* + * Loop over the blockSize. + */ + while (blkCnt > 0U) + { + /* + * Copy new input sample into the state buffer + */ + *pStateCurnt++ = *pSrc++; + /* + * Loop over the Interpolation factor. + */ + i = S->L; + while (i > 0U) + { + /* + * Initialize state pointer + */ + ptr1 = pState; + if (i >= 4) + { + float32_t state0, state1, state2, state3; + acc = vdupq_n_f32(0.0f); + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U) - 4; + tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + f32x4_t vecCoef; + const float32_t *pCoef = ptr2; + + state0 = ptr1[0]; + state1 = ptr1[1]; + state2 = ptr1[2]; + state3 = ptr1[3]; + ptr1 += 4; + + vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state0); + + vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state1); + + vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state2); + + vecCoef = vldrwq_gather_shifted_offset_f32(pCoef, vec_stridesM); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state3); + + ptr2 = ptr2 + 4 * S->L; + /* + * Decrement the loop counter + */ + tapCnt--; + } + + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + f32x4_t vecCoef; + const float32_t *pCoef = ptr2; + + state0 = ptr1[0]; + state1 = ptr1[1]; + state2 = ptr1[2]; + state3 = ptr1[3]; + + vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state0); + + vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state1); + + vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state2); + + vecCoef = vldrwq_gather_shifted_offset_z_f32(pCoef, vec_stridesM, p0); + pCoef += S->L; + acc = vfmaq_n_f32(acc, vecCoef, state3); + } + + vst1q(pDst, acc); + pDst += 4; + i -= 4; + } + else + { + acc = vdupq_n_f32(0.0f); + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U); + + tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + f32x4_t vecCoef, vecState; + + vecState = vldrwq_f32(ptr1); + ptr1 += 4; + + vecCoef = vldrwq_gather_shifted_offset_f32(ptr2, vec_strides); + ptr2 += 4 * S->L; + acc = vfmaq_f32(acc, vecState, vecCoef); + /* + * Decrement the loop counter + */ + tapCnt--; + } + + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + f32x4_t vecCoef, vecState; + + vecState = vldrwq_z_f32(ptr1, p0); + + vecCoef = vldrwq_gather_shifted_offset_z_f32(ptr2, vec_strides, p0); + acc = vfmaq_f32(acc, vecState, vecCoef); + } + *pDst++ = vecAddAcrossF32Mve(acc); + /* + * Decrement the loop counter + */ + i--; + } + } + + /* + * Advance the state pointer by 1 + * * to process the next group of interpolation factor number samples + */ + pState = pState + 1; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + /* + * Processing is complete. + * ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + * ** This prepares the state buffer for the next function call. + */ + + /* + * Points to the start of the state buffer + */ + pStateCurnt = S->pState; + blkCnt = (phaseLen - 1U) >> 2; + while (blkCnt > 0U) + { + vst1q(pStateCurnt, vldrwq_f32(pState)); + pState += 4; + pStateCurnt += 4; + blkCnt--; + } + blkCnt = (phaseLen - 1U) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_f32(pStateCurnt, vldrwq_f32(pState), p0); + } +} + +#else +#if defined(ARM_MATH_NEON) +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *ptr1; /* Temporary pointers for state buffer */ + const float32_t *ptr2; /* Temporary pointers for coefficient buffer */ + float32_t sum0; /* Accumulators */ + float32_t c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, j; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + uint32_t blkCntN4; + float32_t c1, c2, c3; + + float32x4_t sum0v; + float32x4_t accV0,accV1; + float32x4_t x0v,x1v,x2v,xa,xb; + float32x2_t tempV; + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1U); + + /* Initialise blkCnt */ + blkCnt = blockSize >> 3; + blkCntN4 = blockSize & 7; + + /* Loop unrolling */ + while (blkCnt > 0U) + { + /* Copy new input samples into the state buffer */ + sum0v = vld1q_f32(pSrc); + vst1q_f32(pStateCurnt,sum0v); + pSrc += 4; + pStateCurnt += 4; + + sum0v = vld1q_f32(pSrc); + vst1q_f32(pStateCurnt,sum0v); + pSrc += 4; + pStateCurnt += 4; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + accV0 = vdupq_n_f32(0.0); + accV1 = vdupq_n_f32(0.0); + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0v = vld1q_f32(ptr1); + x1v = vld1q_f32(ptr1 + 4); + + while (tapCnt > 0U) + { + /* Read the input samples */ + x2v = vld1q_f32(ptr1 + 8); + + /* Read the coefficients */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + accV0 = vmlaq_n_f32(accV0,x0v,c0); + accV1 = vmlaq_n_f32(accV1,x1v,c0); + + /* Read the coefficients, inputs and perform multiply-accumulate */ + c1 = *(ptr2 + S->L); + + xa = vextq_f32(x0v,x1v,1); + xb = vextq_f32(x1v,x2v,1); + + accV0 = vmlaq_n_f32(accV0,xa,c1); + accV1 = vmlaq_n_f32(accV1,xb,c1); + + /* Read the coefficients, inputs and perform multiply-accumulate */ + c2 = *(ptr2 + S->L * 2); + + xa = vextq_f32(x0v,x1v,2); + xb = vextq_f32(x1v,x2v,2); + + accV0 = vmlaq_n_f32(accV0,xa,c2); + accV1 = vmlaq_n_f32(accV1,xb,c2); + + /* Read the coefficients, inputs and perform multiply-accumulate */ + c3 = *(ptr2 + S->L * 3); + + xa = vextq_f32(x0v,x1v,3); + xb = vextq_f32(x1v,x2v,3); + + accV0 = vmlaq_n_f32(accV0,xa,c3); + accV1 = vmlaq_n_f32(accV1,xb,c3); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + ptr1 += 4; + x0v = x1v; + x1v = x2v; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + x2v = vld1q_f32(ptr1 + 8); + + switch (tapCnt) + { + case 3: + c0 = *(ptr2); + accV0 = vmlaq_n_f32(accV0,x0v,c0); + accV1 = vmlaq_n_f32(accV1,x1v,c0); + ptr2 += S->L; + + c0 = *(ptr2); + + xa = vextq_f32(x0v,x1v,1); + xb = vextq_f32(x1v,x2v,1); + + accV0 = vmlaq_n_f32(accV0,xa,c0); + accV1 = vmlaq_n_f32(accV1,xb,c0); + ptr2 += S->L; + + c0 = *(ptr2); + + xa = vextq_f32(x0v,x1v,2); + xb = vextq_f32(x1v,x2v,2); + + accV0 = vmlaq_n_f32(accV0,xa,c0); + accV1 = vmlaq_n_f32(accV1,xb,c0); + ptr2 += S->L; + + break; + + case 2: + c0 = *(ptr2); + accV0 = vmlaq_n_f32(accV0,x0v,c0); + accV1 = vmlaq_n_f32(accV1,x1v,c0); + ptr2 += S->L; + + c0 = *(ptr2); + + xa = vextq_f32(x0v,x1v,1); + xb = vextq_f32(x1v,x2v,1); + + accV0 = vmlaq_n_f32(accV0,xa,c0); + accV1 = vmlaq_n_f32(accV1,xb,c0); + ptr2 += S->L; + + break; + + case 1: + c0 = *(ptr2); + accV0 = vmlaq_n_f32(accV0,x0v,c0); + accV1 = vmlaq_n_f32(accV1,x1v,c0); + ptr2 += S->L; + + break; + + default: + break; + + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst = vgetq_lane_f32(accV0, 0); + *(pDst + S->L) = vgetq_lane_f32(accV0, 1); + *(pDst + 2 * S->L) = vgetq_lane_f32(accV0, 2); + *(pDst + 3 * S->L) = vgetq_lane_f32(accV0, 3); + + *(pDst + 4 * S->L) = vgetq_lane_f32(accV1, 0); + *(pDst + 5 * S->L) = vgetq_lane_f32(accV1, 1); + *(pDst + 6 * S->L) = vgetq_lane_f32(accV1, 2); + *(pDst + 7 * S->L) = vgetq_lane_f32(accV1, 3); + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 8; + + pDst += S->L * 7; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + + while (blkCntN4 > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum0v = vdupq_n_f32(0.0); + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + while (tapCnt > 0U) + { + /* Read the coefficient */ + x1v = vsetq_lane_f32(*(ptr2),x1v,0); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0v = vld1q_f32(ptr1); + ptr1 += 4; + + /* Read the coefficient */ + x1v = vsetq_lane_f32(*(ptr2),x1v,1); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the coefficient */ + x1v = vsetq_lane_f32(*(ptr2),x1v,2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the coefficient */ + x1v = vsetq_lane_f32(*(ptr2),x1v,3); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + sum0v = vmlaq_f32(sum0v,x0v,x1v); + + /* Decrement the loop counter */ + tapCnt--; + } + + tempV = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v)); + sum0 = vget_lane_f32(tempV, 0) + vget_lane_f32(tempV, 1); + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += *(ptr1++) * (*ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCntN4--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (phaseLen - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + sum0v = vld1q_f32(pState); + vst1q_f32(pStateCurnt,sum0v); + pState += 4; + pStateCurnt += 4; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (phaseLen - 1U) % 0x04U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} +#else + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + float32_t *ptr1; /* Temporary pointer for state buffer */ + const float32_t *ptr2; /* Temporary pointer for coefficient buffer */ + float32_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t j; + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t acc0, acc1, acc2, acc3; + float32_t x0, x1, x2, x3; + float32_t c0, c1, c2, c3; +#endif + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + x1 = *(ptr1++); + x2 = *(ptr1++); + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the coefficient */ + c1 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x1 * c1; + acc1 += x2 * c1; + acc2 += x3 * c1; + acc3 += x0 * c1; + + /* Read the coefficient */ + c2 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x2 * c2; + acc1 += x3 * c2; + acc2 += x0 * c2; + acc3 += x1 * c2; + + /* Read the coefficient */ + c3 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x2 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x3 * c3; + acc1 += x0 * c3; + acc2 += x1 * c3; + acc3 += x2 * c3; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *(pDst ) = acc0; + *(pDst + S->L) = acc1; + *(pDst + 2 * S->L) = acc2; + *(pDst + 3 * S->L) = acc3; + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 4; + + pDst += S->L * 3; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = phaseLen >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + sum0 += *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += *ptr1++ * *ptr2; + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = phaseLen % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = phaseLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = (phaseLen - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = (phaseLen - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (phaseLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#else +/* alternate version for CM0_FAMILY */ + + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCur; /* Points to the current sample of the state */ + float32_t *ptr1; /* Temporary pointer for state buffer */ + const float32_t *ptr2; /* Temporary pointer for coefficient buffer */ + float32_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + /* Loop over the polyPhase length */ + tapCnt = phaseLen; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += *ptr1++ * *ptr2; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + tapCnt = phaseLen - 1U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} + +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c new file mode 100644 index 0000000..287d347 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c @@ -0,0 +1,106 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_f32.c + * Description: Floating-point FIR interpolator initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Initialization function for the floating-point FIR interpolator. + @param[in,out] S points to an instance of the floating-point FIR interpolator structure + @param[in] L upsample factor + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficient buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ @par + The length of the filter numTaps must be a multiple of the interpolation factor L. + @par + pState points to the array of state variables. + pState is of length (numTaps/L)+blockSize-1 words + where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32(). + */ + +arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ + memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); +} + +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c new file mode 100644 index 0000000..7f43bbf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c @@ -0,0 +1,106 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_q15.c + * Description: Q15 FIR interpolator initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Initialization function for the Q15 FIR interpolator. + @param[in,out] S points to an instance of the Q15 FIR interpolator structure + @param[in] L upsample factor + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficient buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L + + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L. + @par + pState points to the array of state variables. + pState is of length (numTaps/L)+blockSize-1 words + where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15(). + */ + +arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ + memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); +} + +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c new file mode 100644 index 0000000..248e236 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c @@ -0,0 +1,105 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_q31.c + * Description: Q31 FIR interpolator initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Initialization function for the Q31 FIR interpolator. + @param[in,out] S points to an instance of the Q31 FIR interpolator structure + @param[in] L upsample factor + @param[in] numTaps number of filter coefficients in the filter + @param[in] pCoeffs points to the filter coefficient buffer + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : filter length numTaps is not a multiple of the interpolation factor L + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+
+ The length of the filter numTaps must be a multiple of the interpolation factor L. + @par + pState points to the array of state variables. + pState is of length (numTaps/L)+blockSize-1 words + where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31(). + */ + +arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ + memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); +} + +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q15.c new file mode 100644 index 0000000..a889793 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q15.c @@ -0,0 +1,774 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_q15.c + * Description: Q15 FIR interpolation + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Processing function for the Q15 FIR interpolator. + @param[in] S points to an instance of the Q15 FIR interpolator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" +void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + const q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint16_t strides[8] = { + 0, 1 * S->L, 2 * S->L, 3 * S->L, + 4 * S->L, 5 * S->L, 6 * S->L, 7 * S->L + }; + uint16x8_t vec_strides0 = *(uint16x8_t *) strides; + uint16x8_t vec_strides1 = vec_strides0 + 1; + uint16x8_t vec_strides2 = vec_strides0 + 2; + uint16x8_t vec_strides3 = vec_strides0 + 3; + q15x8_t vecState, vecCoef; + + /* + * S->pState buffer contains previous frame (phaseLen - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + ((q15_t) phaseLen - 1); + /* + * Total number of intput samples + */ + blkCnt = blockSize; + /* + * Loop over the blockSize. + */ + while (blkCnt > 0U) + { + /* + * Copy new input sample into the state buffer + */ + *pStateCurnt++ = *pSrc++; + /* + * Loop over the Interpolation factor. + */ + i = S->L; + while (i > 0U) + { + /* + * Initialize state pointer + */ + ptr1 = pState; + if (i >= 4) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1 - 3U); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + q63_t acc2 = 0LL; + q63_t acc3 = 0LL; + + uint32_t tapCnt = phaseLen >> 3; + while (tapCnt > 0U) + { + vecState = vldrhq_s16(ptr1); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides3); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1); + acc2 = vmlaldavaq(acc2, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0); + acc3 = vmlaldavaq(acc3, vecState, vecCoef); + + ptr1 += 8; + ptr2 = ptr2 + S->L * 8; + tapCnt--; + } + tapCnt = phaseLen & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + + vecState = vldrhq_z_s16(ptr1, p0); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides3, p0); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0); + acc2 = vmlaldavaq(acc2, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0); + acc3 = vmlaldavaq(acc3, vecState, vecCoef); + } + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + acc3 = asrl(acc3, 15); + + *pDst++ = (q15_t) __SSAT(acc0, 16); + *pDst++ = (q15_t) __SSAT(acc1, 16); + *pDst++ = (q15_t) __SSAT(acc2, 16); + *pDst++ = (q15_t) __SSAT(acc3, 16); + i -= 4; + } + else if (i >= 3) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U - 2); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + q63_t acc2 = 0LL; + + uint32_t tapCnt = phaseLen >> 3; + while (tapCnt > 0U) + { + vecState = vldrhq_s16(ptr1); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides2); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0); + acc2 = vmlaldavaq(acc2, vecState, vecCoef); + + ptr1 += 8; + ptr2 = ptr2 + S->L * 8; + tapCnt--; + } + tapCnt = phaseLen & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + + vecState = vldrhq_z_s16(ptr1, p0); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides2, p0); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0); + acc2 = vmlaldavaq(acc2, vecState, vecCoef); + } + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + + *pDst++ = (q15_t) __SSAT(acc0, 16);; + *pDst++ = (q15_t) __SSAT(acc1, 16);; + *pDst++ = (q15_t) __SSAT(acc2, 16);; + i -= 3; + } + else if (i >= 2) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U - 1); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + + uint32_t tapCnt = phaseLen >> 3; + while (tapCnt > 0U) + { + vecState = vldrhq_s16(ptr1); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides1); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + + ptr1 += 8; + ptr2 = ptr2 + S->L * 8; + tapCnt--; + } + tapCnt = phaseLen & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + + vecState = vldrhq_z_s16(ptr1, p0); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides1, p0); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0); + acc1 = vmlaldavaq(acc1, vecState, vecCoef); + } + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + + *pDst++ = (q15_t) __SSAT(acc0, 16); + *pDst++ = (q15_t) __SSAT(acc1, 16); + i -= 2; + } + else + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U); + + q63_t acc0 = 0LL; + + uint32_t tapCnt = phaseLen >> 3; + while (tapCnt > 0U) + { + vecState = vldrhq_s16(ptr1); + vecCoef = vldrhq_gather_shifted_offset_s16(ptr2, vec_strides0); + + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + + ptr1 += 8; + ptr2 = ptr2 + S->L * 8; + tapCnt--; + } + tapCnt = phaseLen & 7; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp16q(tapCnt); + + vecState = vldrhq_z_s16(ptr1, p0); + vecCoef = vldrhq_gather_shifted_offset_z_s16(ptr2, vec_strides0, p0); + acc0 = vmlaldavaq(acc0, vecState, vecCoef); + } + + acc0 = asrl(acc0, 15); + *pDst++ = (q15_t) __SSAT(acc0, 16); + /* + * Decrement the loop counter + */ + i--; + } + } + /* + * Advance the state pointer by 1 + * * to process the next group of interpolation factor number samples + */ + pState = pState + 1; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + /* + * Processing is complete. + * Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + * This prepares the state buffer for the next function call. + */ + + /* + * Points to the start of the state buffer + */ + pStateCurnt = S->pState; + blkCnt = (phaseLen - 1U) >> 3; + while (blkCnt > 0U) + { + vstrhq_s16(pStateCurnt, vldrhq_s16(pState)); + pState += 8; + pStateCurnt += 8; + blkCnt--; + } + blkCnt = (phaseLen - 1U) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vstrhq_p_s16(pStateCurnt, vldrhq_s16(pState), p0); + } +} +#else +void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *ptr1; /* Temporary pointer for state buffer */ + const q15_t *ptr2; /* Temporary pointer for coefficient buffer */ + q63_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t j; + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc0, acc1, acc2, acc3; + q15_t x0, x1, x2, x3; + q15_t c0, c1, c2, c3; +#endif + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + x1 = *(ptr1++); + x2 = *(ptr1++); + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Read the coefficient */ + c1 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 * c1; + acc1 += (q63_t) x2 * c1; + acc2 += (q63_t) x3 * c1; + acc3 += (q63_t) x0 * c1; + + /* Read the coefficient */ + c2 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x2 * c2; + acc1 += (q63_t) x3 * c2; + acc2 += (q63_t) x0 * c2; + acc3 += (q63_t) x1 * c2; + + /* Read the coefficient */ + c3 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x2 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x3 * c3; + acc1 += (q63_t) x0 * c3; + acc2 += (q63_t) x1 * c3; + acc3 += (q63_t) x2 * c3; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *(pDst ) = (q15_t) (__SSAT((acc0 >> 15), 16)); + *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16)); + *(pDst + 2 * S->L) = (q15_t) (__SSAT((acc2 >> 15), 16)); + *(pDst + 3 * S->L) = (q15_t) (__SSAT((acc3 >> 15), 16)); + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 4; + + pDst += S->L * 3; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = phaseLen >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += (q63_t) *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = phaseLen % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = phaseLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += (q63_t) *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = (phaseLen - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = (phaseLen - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (phaseLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#else +/* alternate version for CM0_FAMILY */ + + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + q15_t *ptr1; /* Temporary pointer for state buffer */ + const q15_t *ptr2; /* Temporary pointer for coefficient buffer */ + q63_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + /* Loop over the polyPhase length */ + tapCnt = phaseLen; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += ((q63_t) *ptr1++ * *ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Store the result after converting to 1.15 format in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + tapCnt = phaseLen - 1U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI)*/ +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q31.c new file mode 100644 index 0000000..826b156 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_interpolate_q31.c @@ -0,0 +1,773 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_q31.c + * Description: Q31 FIR interpolation + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Interpolate + @{ + */ + +/** + @brief Processing function for the Q31 FIR interpolator. + @param[in] S points to an instance of the Q31 FIR interpolator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L). + since numTaps/L additions occur per output sample. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ + +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" +void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + const q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t strides[4] = { 0, 1 * S->L, 2 * S->L, 3 * S->L }; + uint32x4_t vec_strides0 = *(uint32x4_t *) strides; + uint32x4_t vec_strides1 = vec_strides0 + 1; + uint32x4_t vec_strides2 = vec_strides0 + 2; + uint32x4_t vec_strides3 = vec_strides0 + 3; + q31x4_t vecState, vecCoef; + + /* + * S->pState buffer contains previous frame (phaseLen - 1) samples + * pStateCurnt points to the location where the new input data should be written + */ + pStateCurnt = S->pState + ((q31_t) phaseLen - 1); + /* + * Total number of intput samples + */ + blkCnt = blockSize; + /* + * Loop over the blockSize. + */ + while (blkCnt > 0U) + { + /* + * Copy new input sample into the state buffer + */ + *pStateCurnt++ = *pSrc++; + /* + * Loop over the Interpolation factor. + */ + i = S->L; + while (i > 0U) + { + /* + * Initialize state pointer + */ + ptr1 = pState; + if (i >= 4) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1 - 3U); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + q63_t acc2 = 0LL; + q63_t acc3 = 0LL; + + uint32_t tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + vecState = vldrwq_s32(ptr1); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides3); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1); + acc2 = vrmlaldavhaq(acc2, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0); + acc3 = vrmlaldavhaq(acc3, vecState, vecCoef); + + ptr1 += 4; + ptr2 = ptr2 + S->L * 4; + tapCnt--; + } + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + + vecState = vldrwq_z_s32(ptr1, p0); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides3, p0); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0); + acc2 = vrmlaldavhaq(acc2, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0); + acc3 = vrmlaldavhaq(acc3, vecState, vecCoef); + } + + acc0 = asrl(acc0, 31 - 8); + acc1 = asrl(acc1, 31 - 8); + acc2 = asrl(acc2, 31 - 8); + acc3 = asrl(acc3, 31 - 8); + + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + *pDst++ = (q31_t) acc2; + *pDst++ = (q31_t) acc3; + i -= 4; + } + else if (i >= 3) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U - 2); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + q63_t acc2 = 0LL; + + uint32_t tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + vecState = vldrwq_s32(ptr1); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides2); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0); + acc2 = vrmlaldavhaq(acc2, vecState, vecCoef); + + ptr1 += 4; + ptr2 = ptr2 + S->L * 4; + tapCnt--; + } + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + + vecState = vldrwq_z_s32(ptr1, p0); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides2, p0); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0); + acc2 = vrmlaldavhaq(acc2, vecState, vecCoef); + } + + acc0 = asrl(acc0, 31 - 8); + acc1 = asrl(acc1, 31 - 8); + acc2 = asrl(acc2, 31 - 8); + + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + *pDst++ = (q31_t) acc2; + i -= 3; + } + else if (i >= 2) + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U - 1); + + q63_t acc0 = 0LL; + q63_t acc1 = 0LL; + + uint32_t tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + vecState = vldrwq_s32(ptr1); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides1); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + + ptr1 += 4; + ptr2 = ptr2 + S->L * 4; + tapCnt--; + } + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + + vecState = vldrwq_z_s32(ptr1, p0); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides1, p0); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0); + acc1 = vrmlaldavhaq(acc1, vecState, vecCoef); + } + + acc0 = asrl(acc0, 31 - 8); + acc1 = asrl(acc1, 31 - 8); + + *pDst++ = (q31_t) acc0; + *pDst++ = (q31_t) acc1; + i -= 2; + } + else + { + /* + * Initialize coefficient pointer + */ + ptr2 = pCoeffs + (i - 1U); + + q63_t acc0 = 0LL; + + uint32_t tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + vecState = vldrwq_s32(ptr1); + vecCoef = vldrwq_gather_shifted_offset_s32(ptr2, vec_strides0); + + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + + ptr1 += 4; + ptr2 = ptr2 + S->L * 4; + tapCnt--; + } + tapCnt = phaseLen & 3; + if (tapCnt > 0U) + { + mve_pred16_t p0 = vctp32q(tapCnt); + + vecState = vldrwq_z_s32(ptr1, p0); + vecCoef = vldrwq_gather_shifted_offset_z_s32(ptr2, vec_strides0, p0); + acc0 = vrmlaldavhaq(acc0, vecState, vecCoef); + } + + acc0 = asrl(acc0, 31 - 8); + *pDst++ = (q31_t) acc0; + /* + * Decrement the loop counter + */ + i--; + } + } + /* + * Advance the state pointer by 1 + * * to process the next group of interpolation factor number samples + */ + pState = pState + 1; + /* + * Decrement the loop counter + */ + blkCnt--; + } + + /* + * Processing is complete. + * ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + * ** This prepares the state buffer for the next function call. + */ + + /* + * Points to the start of the state buffer + */ + pStateCurnt = S->pState; + blkCnt = (phaseLen - 1U) >> 2; + while (blkCnt > 0U) + { + vst1q(pStateCurnt, vldrwq_s32(pState)); + pState += 4; + pStateCurnt += 4; + blkCnt--; + } + blkCnt = (phaseLen - 1U) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_s32(pStateCurnt, vldrwq_s32(pState), p0); + } +} +#else +void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + q31_t *ptr1; /* Temporary pointer for state buffer */ + const q31_t *ptr2; /* Temporary pointer for coefficient buffer */ + q63_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t j; + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc0, acc1, acc2, acc3; + q31_t x0, x1, x2, x3; + q31_t c0, c1, c2, c3; +#endif + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + x1 = *(ptr1++); + x2 = *(ptr1++); + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Read the coefficient */ + c1 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 * c1; + acc1 += (q63_t) x2 * c1; + acc2 += (q63_t) x3 * c1; + acc3 += (q63_t) x0 * c1; + + /* Read the coefficient */ + c2 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x2 * c2; + acc1 += (q63_t) x3 * c2; + acc2 += (q63_t) x0 * c2; + acc3 += (q63_t) x1 * c2; + + /* Read the coefficient */ + c3 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x2 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x3 * c3; + acc1 += (q63_t) x0 * c3; + acc2 += (q63_t) x1 * c3; + acc3 += (q63_t) x2 * c3; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 * c0; + acc1 += (q63_t) x1 * c0; + acc2 += (q63_t) x2 * c0; + acc3 += (q63_t) x3 * c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *(pDst ) = (q31_t) (acc0 >> 31); + *(pDst + S->L) = (q31_t) (acc1 >> 31); + *(pDst + 2 * S->L) = (q31_t) (acc2 >> 31); + *(pDst + 3 * S->L) = (q31_t) (acc3 >> 31); + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 4; + + pDst += S->L * 3; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. + Repeat until we've computed numTaps-(4*S->L) coefficients. */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = phaseLen >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += (q63_t) *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + sum0 += (q63_t) *ptr1++ * *ptr2; + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = phaseLen % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = phaseLen; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += (q63_t) *ptr1++ * *ptr2; + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 >> 31); + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + tapCnt = (phaseLen - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = (phaseLen - 1U) % 0x04U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (phaseLen - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#else +/* alternate version for CM0_FAMILY */ + + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + q31_t *ptr1; /* Temporary pointer for state buffer */ + const q31_t *ptr2; /* Temporary pointer for coefficient buffer */ + q63_t sum0; /* Accumulators */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint32_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCur points to the location where the new input data should be written */ + pStateCur = S->pState + (phaseLen - 1U); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCur++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + /* Loop over the polyPhase length */ + tapCnt = phaseLen; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += ((q63_t) *ptr1++ * *ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 >> 31); + + /* Decrement loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCur = S->pState; + + tapCnt = phaseLen - 1U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of FIR_Interpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_f32.c new file mode 100644 index 0000000..a3d95c1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_f32.c @@ -0,0 +1,453 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_f32.c + * Description: Processing function for floating-point FIR Lattice filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters + + This set of functions implements Finite Impulse Response (FIR) lattice filters + for Q15, Q31 and floating-point data types. Lattice filters are used in a + variety of adaptive filter applications. The filter structure is feedforward and + the net impulse response is finite length. + The functions operate on blocks + of input and output data and each call to the function processes + blockSize samples through the filter. pSrc and + pDst point to input and output arrays containing blockSize values. + + @par Algorithm + \image html FIRLattice.gif "Finite Impulse Response Lattice filter" + The following difference equation is implemented: + @par + 
+      f0[n] = g0[n] = x[n]
+      fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M
+      gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M
+      y[n] = fM[n]
+
+ @par + pCoeffs points to tha array of reflection coefficients of size numStages. + Reflection Coefficients are stored in the following order. + @par + 
+      {k1, k2, ..., kM}
+
+ where M is number of stages + @par + pState points to a state array of size numStages. + The state variables (g values) hold previous inputs and are stored in the following order. + 
+    {g0[n], g1[n], g2[n] ...gM-1[n]}
+
+ The state variables are updated after each block of data is processed; the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numStages, pCoeffs, pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: + 
+      arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};
+      arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};
+      arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};
+
+ @par + where numStages is the number of stages in the filter; + pState is the address of the state buffer; + pCoeffs is the address of the coefficient buffer. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the FIR Lattice filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Processing function for the floating-point FIR lattice filter. + @param[in] S points to an instance of the floating-point FIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *px; /* Temporary state pointer */ + const float32_t *pk; /* Temporary coefficient pointer */ + uint32_t numStages = S->numStages; /* Number of stages in the filter */ + uint32_t blkCnt, stageCnt; /* Loop counters */ + float32_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */ + float32_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */ + float32_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */ +#endif + + gcurr0 = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Read two samples from input buffer */ + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + fcurr1 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* Read g0(n-1) from state buffer */ + gcurr0 = *px; + + /* Process first sample for first tap */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (fcurr0 * (*pk)) + gcurr0; + + /* Process second sample for first tap */ + fnext1 = (fcurr0 * (*pk)) + fcurr1; + gnext1 = (fcurr1 * (*pk)) + fcurr0; + + /* Read next two samples from input buffer */ + /* f0(n+2) = x(n+2) */ + fcurr2 = *pSrc++; + fcurr3 = *pSrc++; + + /* Process third sample for first tap */ + fnext2 = (fcurr1 * (*pk)) + fcurr2; + gnext2 = (fcurr2 * (*pk)) + fcurr1; + + /* Process fourth sample for first tap */ + fnext3 = (fcurr2 * (*pk )) + fcurr3; + gnext3 = (fcurr3 * (*pk++)) + fcurr2; + + /* Copy only last input sample into the state buffer + which will be used for next samples processing */ + *px++ = fcurr3; + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + /* Loop unrolling. Process 4 taps at a time . */ + stageCnt = (numStages - 1U) >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numStages-3 coefficients. */ + + /* Process 2nd, 3rd, 4th and 5th taps ... here */ + while (stageCnt > 0U) + { + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext3; + + /* Process first sample for 2nd, 6th .. tap */ + /* Sample processing for K2, K6.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + /* Process second sample for 2nd, 6th .. tap */ + /* for sample 2 processing */ + fnext1 = (gnext0 * (*pk)) + fcurr1; + + /* Process third sample for 2nd, 6th .. tap */ + fnext2 = (gnext1 * (*pk)) + fcurr2; + + /* Process fourth sample for 2nd, 6th .. tap */ + fnext3 = (gnext2 * (*pk)) + fcurr3; + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (fcurr3 * (*pk)) + gnext2; + + gnext2 = (fcurr2 * (*pk)) + gnext1; + + gnext1 = (fcurr1 * (*pk)) + gnext0; + + gnext0 = (fcurr0 * (*pk++)) + gcurr0; + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g2(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K3, K7.... */ + /* Process first sample for 3rd, 7th .. tap */ + /* f3(n) = f2(n) + K3 * g2(n-1) */ + fcurr0 = (gcurr0 * (*pk)) + fnext0; + + /* Process second sample for 3rd, 7th .. tap */ + fcurr1 = (gnext0 * (*pk)) + fnext1; + + /* Process third sample for 3rd, 7th .. tap */ + fcurr2 = (gnext1 * (*pk)) + fnext2; + + /* Process fourth sample for 3rd, 7th .. tap */ + fcurr3 = (gnext2 * (*pk)) + fnext3; + + /* Calculation of state values for next stage */ + /* g3(n) = f2(n) * K3 + g2(n-1) */ + gnext3 = (fnext3 * (*pk)) + gnext2; + + gnext2 = (fnext2 * (*pk)) + gnext1; + + gnext1 = (fnext1 * (*pk)) + gnext0; + + gnext0 = (fnext0 * (*pk++)) + gcurr0; + + + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g3(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K4, K8.... */ + /* Process first sample for 4th, 8th .. tap */ + /* f4(n) = f3(n) + K4 * g3(n-1) */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + /* Process second sample for 4th, 8th .. tap */ + /* for sample 2 processing */ + fnext1 = (gnext0 * (*pk)) + fcurr1; + + /* Process third sample for 4th, 8th .. tap */ + fnext2 = (gnext1 * (*pk)) + fcurr2; + + /* Process fourth sample for 4th, 8th .. tap */ + fnext3 = (gnext2 * (*pk)) + fcurr3; + + /* g4(n) = f3(n) * K4 + g3(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (fcurr3 * (*pk)) + gnext2; + + gnext2 = (fcurr2 * (*pk)) + gnext1; + + gnext1 = (fcurr1 * (*pk)) + gnext0; + + gnext0 = (fcurr0 * (*pk++)) + gcurr0; + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g4(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K5, K9.... */ + /* Process first sample for 5th, 9th .. tap */ + /* f5(n) = f4(n) + K5 * g4(n-1) */ + fcurr0 = (gcurr0 * (*pk)) + fnext0; + + /* Process second sample for 5th, 9th .. tap */ + fcurr1 = (gnext0 * (*pk)) + fnext1; + + /* Process third sample for 5th, 9th .. tap */ + fcurr2 = (gnext1 * (*pk)) + fnext2; + + /* Process fourth sample for 5th, 9th .. tap */ + fcurr3 = (gnext2 * (*pk)) + fnext3; + + /* Calculation of state values for next stage */ + /* g5(n) = f4(n) * K5 + g4(n-1) */ + gnext3 = (fnext3 * (*pk)) + gnext2; + + gnext2 = (fnext2 * (*pk)) + gnext1; + + gnext1 = (fnext1 * (*pk)) + gnext0; + + gnext0 = (fnext0 * (*pk++)) + gcurr0; + + stageCnt--; + } + + /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ + stageCnt = (numStages - 1U) % 0x4U; + + while (stageCnt > 0U) + { + gcurr0 = *px; + + /* save g value in state buffer */ + *px++ = gnext3; + + /* Process four samples for last three taps here */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + fnext1 = (gnext0 * (*pk)) + fcurr1; + + fnext2 = (gnext1 * (*pk)) + fcurr2; + + fnext3 = (gnext2 * (*pk)) + fcurr3; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext3 = (fcurr3 * (*pk)) + gnext2; + + gnext2 = (fcurr2 * (*pk)) + gnext1; + + gnext1 = (fcurr1 * (*pk)) + gnext0; + + gnext0 = (fcurr0 * (*pk++)) + gcurr0; + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + stageCnt--; + } + + /* The results in the 4 accumulators, store in the destination buffer. */ + /* y(n) = fN(n) */ + *pDst++ = fcurr0; + *pDst++ = fcurr1; + *pDst++ = fcurr2; + *pDst++ = fcurr3; + + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (fcurr0 * (*pk++)) + gcurr0; + + /* save g1(n) in state buffer */ + *px++ = fcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext0; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = (gcurr0 * (*pk)) + fcurr0; + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext0 = (fcurr0 * (*pk++)) + gcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt--; + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr0; + + blkCnt--; + } + +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_f32.c new file mode 100644 index 0000000..7929629 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_f32.c @@ -0,0 +1,70 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_f32.c + * Description: Floating-point FIR Lattice filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Initialization function for the floating-point FIR lattice filter. + @param[in] S points to an instance of the floating-point FIR lattice structure + @param[in] numStages number of filter stages + @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages + @param[in] pState points to the state buffer. The array is of length numStages + @return none + */ + +void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + const float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q15.c new file mode 100644 index 0000000..5c80dff --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q15.c @@ -0,0 +1,70 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_q15.c + * Description: Q15 FIR Lattice filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Initialization function for the Q15 FIR lattice filter. + @param[in] S points to an instance of the Q15 FIR lattice structure + @param[in] numStages number of filter stages + @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages + @param[in] pState points to the state buffer. The array is of length numStages + @return none + */ + +void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + const q15_t * pCoeffs, + q15_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q31.c new file mode 100644 index 0000000..476296d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_init_q31.c @@ -0,0 +1,70 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_q31.c + * Description: Q31 FIR lattice filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Initialization function for the Q31 FIR lattice filter. + @param[in] S points to an instance of the Q31 FIR lattice structure + @param[in] numStages number of filter stages + @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages + @param[in] pState points to the state buffer. The array is of length numStages + @return none + */ + +void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + const q31_t * pCoeffs, + q31_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q15.c new file mode 100644 index 0000000..42e7c0d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q15.c @@ -0,0 +1,506 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_q15.c + * Description: Q15 FIR lattice filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Processing function for Q15 FIR lattice filter. + @param[in] S points to an instance of the Q15 FIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *px; /* Temporary state pointer */ + const q15_t *pk; /* Temporary coefficient pointer */ + uint32_t numStages = S->numStages; /* Number of stages in the filter */ + uint32_t blkCnt, stageCnt; /* Loop counters */ + q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */ + q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */ + q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */ +#endif + + gcurr0 = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Read two samples from input buffer */ + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + fcurr1 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* Read g0(n-1) from state buffer */ + gcurr0 = *px; + + /* Process first sample for first tap */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* Process second sample for first tap */ + fnext1 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + fcurr1; + fnext1 = __SSAT(fnext1, 16); + gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr0; + gnext1 = __SSAT(gnext1, 16); + + /* Read next two samples from input buffer */ + /* f0(n+2) = x(n+2) */ + fcurr2 = *pSrc++; + fcurr3 = *pSrc++; + + /* Process third sample for first tap */ + fnext2 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr2; + fnext2 = __SSAT(fnext2, 16); + gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + fcurr1; + gnext2 = __SSAT(gnext2, 16); + + /* Process fourth sample for first tap */ + fnext3 = (q31_t) ((fcurr2 * (*pk )) >> 15U) + fcurr3; + fnext3 = __SSAT(fnext3, 16); + gnext3 = (q31_t) ((fcurr3 * (*pk++)) >> 15U) + fcurr2; + gnext3 = __SSAT(gnext3, 16); + + /* Copy only last input sample into the state buffer + which will be used for next samples processing */ + *px++ = (q15_t) fcurr3; + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + /* Loop unrolling. Process 4 taps at a time . */ + stageCnt = (numStages - 1U) >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numStages-3 coefficients. */ + + /* Process 2nd, 3rd, 4th and 5th taps ... here */ + while (stageCnt > 0U) + { + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext3; + + /* Process first sample for 2nd, 6th .. tap */ + /* Sample processing for K2, K6.... */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* Process second sample for 2nd, 6th .. tap */ + /* for sample 2 processing */ + fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1; + fnext1 = __SSAT(fnext1, 16); + + /* Process third sample for 2nd, 6th .. tap */ + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2; + fnext2 = __SSAT(fnext2, 16); + + /* Process fourth sample for 2nd, 6th .. tap */ + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3; + fnext3 = __SSAT(fnext3, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0; + gnext1 = __SSAT(gnext1, 16); + + gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext3; + + /* Sample processing for K3, K7.... */ + /* Process first sample for 3rd, 7th .. tap */ + /* f3(n) = f2(n) + K3 * g2(n-1) */ + fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0; + fcurr0 = __SSAT(fcurr0, 16); + + /* Process second sample for 3rd, 7th .. tap */ + fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1; + fcurr1 = __SSAT(fcurr1, 16); + + /* Process third sample for 3rd, 7th .. tap */ + fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2; + fcurr2 = __SSAT(fcurr2, 16); + + /* Process fourth sample for 3rd, 7th .. tap */ + fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3; + fcurr3 = __SSAT(fcurr3, 16); + + /* Calculation of state values for next stage */ + /* g3(n) = f2(n) * K3 + g2(n-1) */ + gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0; + gnext1 = __SSAT(gnext1, 16); + + gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext3; + + /* Sample processing for K4, K8.... */ + /* Process first sample for 4th, 8th .. tap */ + /* f4(n) = f3(n) + K4 * g3(n-1) */ + fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* Process second sample for 4th, 8th .. tap */ + /* for sample 2 processing */ + fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1; + fnext1 = __SSAT(fnext1, 16); + + /* Process third sample for 4th, 8th .. tap */ + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2; + fnext2 = __SSAT(fnext2, 16); + + /* Process fourth sample for 4th, 8th .. tap */ + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3; + fnext3 = __SSAT(fnext3, 16); + + /* g4(n) = f3(n) * K4 + g3(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0; + gnext1 = __SSAT(gnext1, 16); + + gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g4(n) in state buffer */ + *px++ = (q15_t) gnext3; + + /* Sample processing for K5, K9.... */ + /* Process first sample for 5th, 9th .. tap */ + /* f5(n) = f4(n) + K5 * g4(n-1) */ + fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0; + fcurr0 = __SSAT(fcurr0, 16); + + /* Process second sample for 5th, 9th .. tap */ + fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1; + fcurr1 = __SSAT(fcurr1, 16); + + /* Process third sample for 5th, 9th .. tap */ + fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2; + fcurr2 = __SSAT(fcurr2, 16); + + /* Process fourth sample for 5th, 9th .. tap */ + fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3; + fcurr3 = __SSAT(fcurr3, 16); + + /* Calculation of state values for next stage */ + /* g5(n) = f4(n) * K5 + g4(n-1) */ + gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0; + gnext1 = __SSAT(gnext1, 16); + + gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + stageCnt--; + } + + /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ + stageCnt = (numStages - 1U) % 0x4U; + + while (stageCnt > 0U) + { + gcurr0 = *px; + + /* save g value in state buffer */ + *px++ = (q15_t) gnext3; + + /* Process four samples for last three taps here */ + fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1; + fnext1 = __SSAT(fnext1, 16); + + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2; + fnext2 = __SSAT(fnext2, 16); + + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3; + fnext3 = __SSAT(fnext3, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0; + gnext1 = __SSAT(gnext1, 16); + + gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + stageCnt--; + } + + /* The results in the 4 accumulators, store in the destination buffer. */ + /* y(n) = fN(n) */ + +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(fcurr0, fcurr1, 16)); + write_q15x2_ia (&pDst, __PKHBT(fcurr2, fcurr3, 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(fcurr1, fcurr0, 16)); + write_q15x2_ia (&pDst, __PKHBT(fcurr3, fcurr2, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* save g1(n) in state buffer */ + *px++ = (q15_t) fcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext0; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt--; + } + + /* y(n) = fN(n) */ + *pDst++ = __SSAT(fcurr0, 16); + + blkCnt--; + } + +#else +/* alternate version for CM0_FAMILY */ + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* read g0(n-1) from state buffer */ + gcurr0 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* save f0(n) in state buffer */ + *px++ = (q15_t) fcurr0; + + /* f1(n) is saved in fcurr for next stage processing */ + fcurr0 = fnext0; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g1(n-1) from state buffer */ + gcurr0 = *px; + + /* save g0(n-1) in state buffer */ + *px++ = (q15_t) gnext0; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0; + fnext0 = __SSAT(fnext0, 16); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0; + gnext0 = __SSAT(gnext0, 16); + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt--; + } + + /* y(n) = fN(n) */ + *pDst++ = __SSAT(fcurr0, 16); + + blkCnt--; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q31.c new file mode 100644 index 0000000..c8d28d7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_lattice_q31.c @@ -0,0 +1,505 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_q31.c + * Description: Q31 FIR lattice filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Lattice + @{ + */ + +/** + @brief Processing function for the Q31 FIR lattice filter. + @param[in] S points to an instance of the Q31 FIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits. + */ + +void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *px; /* Temporary state pointer */ + const q31_t *pk; /* Temporary coefficient pointer */ + uint32_t numStages = S->numStages; /* Number of stages in the filter */ + uint32_t blkCnt, stageCnt; /* Loop counters */ + q31_t fcurr0, fnext0, gnext0, gcurr0; /* Temporary variables */ + +#if (1) +//#if !defined(ARM_MATH_CM0_FAMILY) + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t fcurr1, fnext1, gnext1; /* Temporary variables for second sample in loop unrolling */ + q31_t fcurr2, fnext2, gnext2; /* Temporary variables for third sample in loop unrolling */ + q31_t fcurr3, fnext3, gnext3; /* Temporary variables for fourth sample in loop unrolling */ +#endif + + gcurr0 = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Read two samples from input buffer */ + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + fcurr1 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* Read g0(n-1) from state buffer */ + gcurr0 = *px; + + /* Process first sample for first tap */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* Process second sample for first tap */ + fnext1 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U); + fnext1 = (fnext1 << 1U) + fcurr1; + gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + fcurr0; + + /* Read next two samples from input buffer */ + /* f0(n+2) = x(n+2) */ + fcurr2 = *pSrc++; + fcurr3 = *pSrc++; + + /* Process third sample for first tap */ + fnext2 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U); + fnext2 = (fnext2 << 1U) + fcurr2; + gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + fcurr1; + + /* Process fourth sample for first tap */ + fnext3 = (q31_t) (((q63_t) fcurr2 * (*pk )) >> 32U); + fnext3 = (fnext3 << 1U) + fcurr3; + gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk++)) >> 32U); + gnext3 = (gnext3 << 1U) + fcurr2; + + /* Copy only last input sample into the state buffer + which will be used for next samples processing */ + *px++ = fcurr3; + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + /* Loop unrolling. Process 4 taps at a time . */ + stageCnt = (numStages - 1U) >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numStages-3 coefficients. */ + + /* Process 2nd, 3rd, 4th and 5th taps ... here */ + while (stageCnt > 0U) + { + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext3; + + /* Process first sample for 2nd, 6th .. tap */ + /* Sample processing for K2, K6.... */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* Process second sample for 2nd, 6th .. tap */ + /* for sample 2 processing */ + fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U); + fnext1 = (fnext1 << 1U) + fcurr1; + + /* Process third sample for 2nd, 6th .. tap */ + fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U); + fnext2 = (fnext2 << 1U) + fcurr2; + + /* Process fourth sample for 2nd, 6th .. tap */ + fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U); + fnext3 = (fnext3 << 1U) + fcurr3; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U); + gnext3 = (gnext3 << 1U) + gnext2; + + gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + gnext1; + + gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + gnext0; + + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K3, K7.... */ + /* Process first sample for 3rd, 7th .. tap */ + /* f3(n) = f2(n) + K3 * g2(n-1) */ + fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fcurr0 = (fcurr0 << 1U) + fnext0; + + /* Process second sample for 3rd, 7th .. tap */ + fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U); + fcurr1 = (fcurr1 << 1U) + fnext1; + + /* Process third sample for 3rd, 7th .. tap */ + fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U); + fcurr2 = (fcurr2 << 1U) + fnext2; + + /* Process fourth sample for 3rd, 7th .. tap */ + fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U); + fcurr3 = (fcurr3 << 1U) + fnext3; + + /* Calculation of state values for next stage */ + /* g3(n) = f2(n) * K3 + g2(n-1) */ + gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U); + gnext3 = (gnext3 << 1U) + gnext2; + + gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + gnext1; + + gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + gnext0; + + gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K4, K8.... */ + /* Process first sample for 4th, 8th .. tap */ + /* f4(n) = f3(n) + K4 * g3(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* Process second sample for 4th, 8th .. tap */ + /* for sample 2 processing */ + fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U); + fnext1 = (fnext1 << 1U) + fcurr1; + + /* Process third sample for 4th, 8th .. tap */ + fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U); + fnext2 = (fnext2 << 1U) + fcurr2; + + /* Process fourth sample for 4th, 8th .. tap */ + fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U); + fnext3 = (fnext3 << 1U) + fcurr3; + + /* g4(n) = f3(n) * K4 + g3(n-1) */ + /* Calculation of state values for next stage */ + gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U); + gnext3 = (gnext3 << 1U) + gnext2; + + gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + gnext1; + + gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + gnext0; + + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr0 = *px; + + /* save g4(n) in state buffer */ + *px++ = gnext3; + + /* Sample processing for K5, K9.... */ + /* Process first sample for 5th, 9th .. tap */ + /* f5(n) = f4(n) + K5 * g4(n-1) */ + fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fcurr0 = (fcurr0 << 1U) + fnext0; + + /* Process second sample for 5th, 9th .. tap */ + fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U); + fcurr1 = (fcurr1 << 1U) + fnext1; + + /* Process third sample for 5th, 9th .. tap */ + fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U); + fcurr2 = (fcurr2 << 1U) + fnext2; + + /* Process fourth sample for 5th, 9th .. tap */ + fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U); + fcurr3 = (fcurr3 << 1U) + fnext3; + + /* Calculation of state values for next stage */ + /* g5(n) = f4(n) * K5 + g4(n-1) */ + gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U); + gnext3 = (gnext3 << 1U) + gnext2; + + gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + gnext1; + + gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + gnext0; + + gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + stageCnt--; + } + + /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ + stageCnt = (numStages - 1U) % 0x4U; + + while (stageCnt > 0U) + { + gcurr0 = *px; + + /* save g value in state buffer */ + *px++ = gnext3; + + /* Process four samples for last three taps here */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U); + fnext1 = (fnext1 << 1U) + fcurr1; + + fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U); + fnext2 = (fnext2 << 1U) + fcurr2; + + fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U); + fnext3 = (fnext3 << 1U) + fcurr3; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U); + gnext3 = (gnext3 << 1U) + gnext2; + + gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U); + gnext2 = (gnext2 << 1U) + gnext1; + + gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U); + gnext1 = (gnext1 << 1U) + gnext0; + + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* Update of f values for next coefficient set processing */ + fcurr0 = fnext0; + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + + stageCnt--; + } + + /* The results in the 4 accumulators, store in the destination buffer. */ + /* y(n) = fN(n) */ + *pDst++ = fcurr0; + *pDst++ = fcurr1; + *pDst++ = fcurr2; + *pDst++ = fcurr3; + + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* save g1(n) in state buffer */ + *px++ = fcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr0 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext0; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt--; + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr0; + + blkCnt--; + } + +#else +/* alternate version for CM0_FAMILY */ + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr0 = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* read g0(n-1) from state buffer */ + gcurr0 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext << 1U) + fcurr0; + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* save f0(n) in state buffer */ + *px++ = fcurr0; + + /* f1(n) is saved in fcurr for next stage processing */ + fcurr0 = fnext0; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g1(n-1) from state buffer */ + gcurr0 = *px; + + /* save g0(n-1) in state buffer */ + *px++ = gnext0; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U); + fnext0 = (fnext0 << 1U) + fcurr0; + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U); + gnext0 = (gnext0 << 1U) + gcurr0; + + /* f1(n) is saved in fcurr0 for next stage processing */ + fcurr0 = fnext0; + + stageCnt--; + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr0; + + blkCnt--; + } + +#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */ + +} + +/** + @} end of FIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q15.c new file mode 100644 index 0000000..7fba642 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q15.c @@ -0,0 +1,797 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q15.c + * Description: Q15 FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for the Q15 FIR filter. + @param[in] S points to an instance of the Q15 FIR filter structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + + @remark + Refer to \ref arm_fir_fast_q15() for a faster but less precise implementation of this function. + */ +#if defined(ARM_MATH_MVEI) + +#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff) + +static void arm_fir_q15_1_8_mve(const arm_fir_instance_q15 * S, const q15_t * pSrc, q15_t * pDst, uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + const q15_t *pSamples; /* Temporary pointer to the sample buffer */ + q15_t *pOutput; /* Temporary pointer to the output buffer */ + const q15_t *pTempSrc; /* Temporary pointer to the source data */ + q15_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q15x8_t vecIn0; + /* + * load 8 coefs + */ + q15x8_t vecCoeffs = *(q15x8_t *) pCoeffs; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + pSamples = pState; + pOutput = pDst; + + q63_t acc0, acc1, acc2, acc3; + + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + const q15_t *pSamplesTmp = pSamples; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vmlaldavq(vecIn0, vecCoeffs); + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc3, 15); + + pSamples += 4; + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + *(q15x8_t *) pStateCur = *(q15x8_t *) pTempSrc; + pStateCur += 8; + pTempSrc += 8; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmlaldavq(vecIn0, vecCoeffs); + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15); + } + break; + + case 2: + { + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavq(vecIn0, vecCoeffs); + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + } + break; + + case 1: + { + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavq(vecIn0, vecCoeffs); + + pSamplesTmp += 4; + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + } + break; + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 3; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 8; + pTempDest += 8; + blkCnt--; + } + blkCnt = numTaps & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vstrhq_p_s16(pTempDest, vld1q(pTempSrc), p0); + } +} + +void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCur; /* Points to the current sample of the state */ + const q15_t *pSamples; /* Temporary pointer to the sample buffer */ + q15_t *pOutput; /* Temporary pointer to the output buffer */ + const q15_t *pTempSrc; /* Temporary pointer to the source data */ + q15_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q15x8_t vecIn0; + uint32_t tapsBlkCnt = (numTaps + 7) / 8; + q63_t acc0, acc1, acc2, acc3; + + if (blockSize >= 12) + { + if(numTaps <= 8) { + /* [1 to 8 taps] specialized routine */ + arm_fir_q15_1_8_mve(S,pSrc, pDst, blockSize); + return; + } + } + + if (blockSize >= 12) + { + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + pSamples = pState; + pOutput = pDst; + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + const q15_t *pCoeffsTmp = pCoeffs; + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + /* + * Save 8 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + /* + * load 8 coefs + */ + q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vmlaldavaq(acc3, vecIn0, vecCoeffs); + + pSamplesTmp += 8; + pCoeffsTmp += 8; + /* + * Decrement the taps block loop counter + */ + i--; + } + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc3, 15); + + pSamples += 4; + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + const q15_t *pCoeffsTmp = pCoeffs; + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + + /* + * Save 8 input samples in the history buffer + */ + *(q15x8_t *) pStateCur = *(q15x8_t *) pTempSrc; + pStateCur += 8; + pTempSrc += 8; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + /* + * load 8 coefs + */ + q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmlaldavaq(acc2, vecIn0, vecCoeffs); + + pSamplesTmp += 8; + pCoeffsTmp += 8; + /* + * Decrement the taps block loop counter + */ + i--; + } + + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc2, 15); + } + break; + + case 2: + { + const q15_t *pCoeffsTmp = pCoeffs; + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + /* + * Save 8 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + /* + * load 8 coefs + */ + q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmlaldavaq(acc1, vecIn0, vecCoeffs); + + pSamplesTmp += 8; + pCoeffsTmp += 8; + /* + * Decrement the taps block loop counter + */ + i--; + } + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc1, 15); + } + break; + + case 1: + { + const q15_t *pCoeffsTmp = pCoeffs; + const q15_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + + /* + * Save 8 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 8; + pTempSrc += 8; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + /* + * load 8 coefs + */ + q15x8_t vecCoeffs = *(q15x8_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmlaldavaq(acc0, vecIn0, vecCoeffs); + + pSamplesTmp += 8; + pCoeffsTmp += 8; + /* + * Decrement the taps block loop counter + */ + i--; + } + + *pOutput++ = (q15_t) MVE_ASRL_SAT16(acc0, 15); + } + break; + } + } + else + { + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc0; /* Accumulator */ + uint32_t blkCnt,tapCnt; /* Loop counters */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + blkCnt = blockSize; + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Use SIMD to hold states and coefficients */ + px = pState; + pb = pCoeffs; + + tapCnt = numTaps >> 1U; + + while (tapCnt > 0U) + { + acc0 += (q15_t) *px++ * *pb++; + acc0 += (q15_t) *px++ * *pb++; + + tapCnt--; + } + + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + } + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 3; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 8; + pTempDest += 8; + blkCnt--; + } + blkCnt = numTaps & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vstrhq_p_s16(pTempDest, vld1q(pTempSrc), p0); + } +} + +#else +void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + const q15_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc0; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy 4 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ + px = pState; + + /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ + x0 = read_q15x2_ia (&px); + + /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ + x2 = read_q15x2_ia (&px); + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numTaps-(numTaps%4) coefficients. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc0 = __SMLALD(x0, c0, acc0); + + /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ + acc2 = __SMLALD(x2, c0, acc2); + + /* pack x[n-N-1] and x[n-N-2] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read state x[n-N-4], x[n-N-5] */ + x0 = read_q15x2_ia (&px); + + /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack x[n-N-3] and x[n-N-4] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + /* Read coefficients b[N-2], b[N-3] */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ + acc0 = __SMLALD(x2, c0, acc0); + + /* Read state x[n-N-6], x[n-N-7] with offset */ + x2 = read_q15x2_ia (&px); + + /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ + acc2 = __SMLALD(x0, c0, acc2); + + /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack x[n-N-5] and x[n-N-6] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ + acc3 = __SMLALDX(x1, c0, acc3); + + /* Decrement tap count */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps. + This is always be 2 taps since the filter length is even. */ + if ((numTaps & 0x3U) != 0U) + { + /* Read last two coefficients */ + c0 = read_q15x2_ia ((q15_t **) &pb); + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc2 = __SMLALD(x2, c0, acc2); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read last state variables */ + x0 = read_q15x2 (px); + + /* Perform the multiply-accumulates */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* Perform the multiply-accumulates */ + acc3 = __SMLALDX(x1, c0, acc3); + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. + Then store the 4 outputs in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16)); + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16)); +#else + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16)); + write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Use SIMD to hold states and coefficients */ + px = pState; + pb = pCoeffs; + + tapCnt = numTaps >> 1U; + + while (tapCnt > 0U) + { + acc0 += (q31_t) *px++ * *pb++; + acc0 += (q31_t) *px++ * *pb++; + + tapCnt--; + } + + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q31.c new file mode 100644 index 0000000..246aa1b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q31.c @@ -0,0 +1,1049 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q31.c + * Description: Q31 FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for Q31 FIR filter. + @param[in] S points to an instance of the Q31 FIR filter structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + + @remark + Refer to \ref arm_fir_fast_q31() for a faster but less precise implementation of this filter. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + + + +static void arm_fir_q31_1_4_mve(const arm_fir_instance_q31 * S, const q31_t * pSrc, q31_t * pDst, uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + const q31_t *pSamples; /* Temporary pointer to the sample buffer */ + q31_t *pOutput; /* Temporary pointer to the output buffer */ + const q31_t *pTempSrc; /* Temporary pointer to the source data */ + q31_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q31x4_t vecIn0; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + pSamples = pState; + pOutput = pDst; + + q63_t acc0, acc1, acc2, acc3; + /* + * load 4 coefs + */ + q31x4_t vecCoeffs = *(q31x4_t *) pCoeffs; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + const q31_t *pSamplesTmp = pSamples; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vrmlaldavhq(vecIn0, vecCoeffs); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + *pOutput++ = (q31_t) acc3; + + pSamples += 4; + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + + switch (residual) + { + case 3: + { + /* + * Save 4 input samples in the history buffer + */ + + *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc; + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[2]); + acc2 = vrmlaldavhq(vecIn0, vecCoeffs); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + } + break; + + case 2: + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + } + break; + + case 1: + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs); + + acc0 = asrl(acc0, 23); + + *pOutput++ = (q31_t) acc0; + } + break; + } + + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0); + } +} + +static void arm_fir_q31_5_8_mve(const arm_fir_instance_q31 * S, const q31_t * pSrc, q31_t * pDst, uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + const q31_t *pSamples; /* Temporary pointer to the sample buffer */ + q31_t *pOutput; /* Temporary pointer to the output buffer */ + const q31_t *pTempSrc; /* Temporary pointer to the source data */ + q31_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q31x4_t vecIn0; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecCoeffs1_4, vecCoeffs5_8; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pTempSrc = pSrc; + pSamples = pState; + pOutput = pDst; + + + /* + * load 8 coefs + */ + vecCoeffs1_4 = *(q31x4_t *) pCoeffs; + vecCoeffs5_8 = *(q31x4_t *) (pCoeffs + 4); + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + const q31_t *pSamplesTmp = pSamples; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamplesTmp[4]); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamplesTmp[5]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamplesTmp[6]); + acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamplesTmp[7]); + acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs5_8); + + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + *pOutput++ = (q31_t) acc3; + + pSamples += 4; + pStateCur += 4; + pTempSrc += 4; + + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + /* + * Save 4 input samples in the history buffer + */ + *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc; + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[2]); + acc2 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[4]); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamples[5]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamples[6]); + acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs5_8); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + } + break; + + case 2: + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[4]); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8); + + vecIn0 = vld1q(&pSamples[5]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs5_8); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + } + break; + + case 1: + { + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + vecIn0 = vld1q(pSamples); + acc0 = vrmlaldavhq(vecIn0, vecCoeffs1_4); + + vecIn0 = vld1q(&pSamples[4]); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs5_8); + + acc0 = asrl(acc0, 23); + + *pOutput++ = (q31_t) acc0; + } + break; + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0); + } +} + +void arm_fir_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCur; /* Points to the current sample of the state */ + const q31_t *pSamples; /* Temporary pointer to the sample buffer */ + q31_t *pOutput; /* Temporary pointer to the output buffer */ + const q31_t *pTempSrc; /* Temporary pointer to the source data */ + q31_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q31x4_t vecIn0; + uint32_t tapsBlkCnt = (numTaps + 3) / 4; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecCoeffs; + + /* + * [1 to 8 taps] specialized routines + */ + + if (blockSize >= 8) + { + if (numTaps <= 4) + { + arm_fir_q31_1_4_mve(S, pSrc, pDst, blockSize); + return; + } + else if (numTaps <= 8) + { + arm_fir_q31_5_8_mve(S, pSrc, pDst, blockSize); + return; + } + } + + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + if (blockSize >= 8) + { + pStateCur = &(pState[(numTaps - 1u)]); + pSamples = pState; + pTempSrc = pSrc; + pOutput = pDst; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + const q31_t *pCoeffsTmp = pCoeffs; + const q31_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + tapsBlkCnt = (numTaps ) / 4; + uint32_t i = tapsBlkCnt ; + while (i > 0U) + { + /* + * load 4 coefs + */ + vecCoeffs = *(q31x4_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vrmlaldavhaq(acc3, vecIn0, vecCoeffs); + + pSamplesTmp += 4; + pCoeffsTmp += 4; + /* + * Decrement the taps block loop counter + */ + i--; + } + + tapsBlkCnt = (numTaps ) & 3; + i = tapsBlkCnt ; + while (i > 0U) + { + /* + * load 4 coefs + */ + + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8; + acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8; + acc2 += ((q63_t) pSamplesTmp[2] * *pCoeffsTmp) >> 8; + acc3 += ((q63_t) pSamplesTmp[3] * *pCoeffsTmp) >> 8; + + + pSamplesTmp += 1; + pCoeffsTmp += 1; + /* + * Decrement the taps block loop counter + */ + i--; + } + + /* .54-> .31 conversion and store accumulators */ + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + *pOutput++ = (q31_t) acc3; + + pSamples += 4; + + + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + const q31_t *pCoeffsTmp = pCoeffs; + const q31_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + + *(q31x4_t *) pStateCur = *(q31x4_t *) pTempSrc; + pStateCur += 4; + pTempSrc += 4; + + tapsBlkCnt = numTaps / 4; + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q31x4_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vrmlaldavhaq(acc2, vecIn0, vecCoeffs); + + pSamplesTmp += 4; + pCoeffsTmp += 4; + i--; + } + + tapsBlkCnt = (numTaps ) & 3; + + i = tapsBlkCnt ; + while (i > 0U) + { + + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8; + acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8; + acc2 += ((q63_t) pSamplesTmp[2] * *pCoeffsTmp) >> 8; + + pSamplesTmp += 1; + pCoeffsTmp += 1; + /* + * Decrement the taps block loop counter + */ + i--; + } + + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + *pOutput++ = (q31_t) acc2; + } + break; + + case 2: + { + const q31_t *pCoeffsTmp = pCoeffs; + const q31_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + acc1 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + tapsBlkCnt = (numTaps ) / 4; + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q31x4_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vrmlaldavhaq(acc1, vecIn0, vecCoeffs); + + pSamplesTmp += 4; + pCoeffsTmp += 4; + i--; + } + + tapsBlkCnt = (numTaps ) & 3; + i = tapsBlkCnt ; + while (i > 0U) + { + + + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8; + acc1 += ((q63_t) pSamplesTmp[1] * *pCoeffsTmp) >> 8; + + pSamplesTmp += 1; + pCoeffsTmp += 1; + /* + * Decrement the taps block loop counter + */ + i--; + } + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + + *pOutput++ = (q31_t) acc0; + *pOutput++ = (q31_t) acc1; + } + break; + + case 1: + { + const q31_t *pCoeffsTmp = pCoeffs; + const q31_t *pSamplesTmp = pSamples; + + acc0 = 0LL; + + /* + * Save 4 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 4; + pTempSrc += 4; + + tapsBlkCnt = (numTaps ) / 4; + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q31x4_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vrmlaldavhaq(acc0, vecIn0, vecCoeffs); + + pSamplesTmp += 4; + pCoeffsTmp += 4; + i--; + } + + tapsBlkCnt = (numTaps ) & 3; + i = tapsBlkCnt ; + while (i > 0U) + { + + + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += ((q63_t) *pSamplesTmp * *pCoeffsTmp) >> 8; + + pSamplesTmp += 1; + pCoeffsTmp += 1; + /* + * Decrement the taps block loop counter + */ + i--; + } + + acc0 = asrl(acc0, 23); + + *pOutput++ = (q31_t) acc0; + } + break; + } + } + else + { + + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px; /* Temporary pointer for state buffer */ + const q31_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc0; /* Accumulator */ + uint32_t i, blkCnt; /* Loop counters */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += (q63_t) *px++ * *pb++; + + i--; + } while (i > 0U); + + /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31U); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 2; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 4; + pTempDest += 4; + blkCnt--; + } + blkCnt = numTaps & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vstrwq_p_s32(pTempDest, vld1q(pTempSrc), p0); + } +} + +#else +void arm_fir_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px; /* Temporary pointer for state buffer */ + const q31_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q63_t acc1, acc2; /* Accumulators */ + q31_t x0, x1, x2; /* Temporary variables to hold state values */ + q31_t c0; /* Temporary variable to hold coefficient value */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + + blkCnt = blockSize / 3; + + while (blkCnt > 0U) + { + /* Copy 3 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first 2 samples from the state buffer: x[n-numTaps], x[n-numTaps-1] */ + x0 = *px++; + x1 = *px++; + + /* Loop unrolling: process 3 taps at a time. */ + tapCnt = numTaps / 3; + + while (tapCnt > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-2] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x0 * c0); + acc1 += ((q63_t) x1 * c0); + acc2 += ((q63_t) x2 * c0); + + /* Read the coefficient and state */ + c0 = *(pb + 1U); + x0 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x1 * c0); + acc1 += ((q63_t) x2 * c0); + acc2 += ((q63_t) x0 * c0); + + /* Read the coefficient and state */ + c0 = *(pb + 2U); + x1 = *(px++); + + /* update coefficient pointer */ + pb += 3U; + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x2 * c0); + acc1 += ((q63_t) x0 * c0); + acc2 += ((q63_t) x1 * c0); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + tapCnt = numTaps % 0x3U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x0 * c0); + acc1 += ((q63_t) x1 * c0); + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Advance the state pointer by 3 to process the next group of 3 samples */ + pState = pState + 3; + + /* The result is in 2.30 format. Convert to 1.31 and store in destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31U); + *pDst++ = (q31_t) (acc1 >> 31U); + *pDst++ = (q31_t) (acc2 >> 31U); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x3U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc0 += (q63_t) *px++ * *pb++; + + i--; + } while (i > 0U); + + /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31U); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q7.c new file mode 100644 index 0000000..19f1df6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_q7.c @@ -0,0 +1,751 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q7.c + * Description: Q7 FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR + @{ + */ + +/** + @brief Processing function for Q7 FIR filter. + @param[in] S points to an instance of the Q7 FIR filter structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + The accumulator is converted to 18.7 format by discarding the low 7 bits. + Finally, the result is truncated to 1.7 format. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_fir_q7_1_16_mve(const arm_fir_instance_q7 * S, const q7_t * pSrc, q7_t * pDst, uint32_t blockSize) +{ + q7_t *pState = S->pState; /* State pointer */ + const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *pStateCur; /* Points to the current sample of the state */ + const q7_t *pSamples; /* Temporary pointer to the sample buffer */ + q7_t *pOutput; /* Temporary pointer to the output buffer */ + const q7_t *pTempSrc; /* Temporary pointer to the source data */ + q7_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q7x16_t vecIn0; + q31_t acc0, acc1, acc2, acc3; + q7x16_t vecCoeffs; + + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pSamples = pState; + pTempSrc = pSrc; + pOutput = pDst; + blkCnt = blockSize >> 2; + + /* + * load 16 coefs + */ + vecCoeffs = *(q7x16_t *) pCoeffs; + + while (blkCnt > 0U) + { + /* + * Save 16 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + vecIn0 = vld1q(pSamples); + acc0 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[1]);; + acc1 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[2]);; + acc2 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[3]); + acc3 = vmladavq(vecIn0, vecCoeffs); + + /* + * Store the 1.7 format filter output in destination buffer + */ + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc3 >> 7U), 8); + + pSamples += 4; + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + vecIn0 = vld1q(pSamples); + acc0 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[2]); + acc2 = vmladavq(vecIn0, vecCoeffs); + + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8); + } + break; + + case 2: + { + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + vecIn0 = vld1q(pSamples); + acc0 = vmladavq(vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamples[1]); + acc1 = vmladavq(vecIn0, vecCoeffs); + + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + } + break; + + case 1: + { + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + vecIn0 = vld1q(pSamples); + acc0 = vmladavq(vecIn0, vecCoeffs); + + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + } + break; + } + + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &pState[blockSize]; + pTempDest = pState; + + blkCnt = numTaps >> 4; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 16; + pTempDest += 16; + blkCnt--; + } + blkCnt = numTaps & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vstrbq_p_s8(pTempDest, vld1q(pTempSrc), p0); + } +} + +void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + q7_t *pState = S->pState; /* State pointer */ + const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *pStateCur; /* Points to the current sample of the state */ + const q7_t *pSamples; /* Temporary pointer to the sample buffer */ + q7_t *pOutput; /* Temporary pointer to the output buffer */ + const q7_t *pTempSrc; /* Temporary pointer to the source data */ + q7_t *pTempDest; /* Temporary pointer to the destination buffer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t blkCnt; + q7x16_t vecIn0; + uint32_t tapsBlkCnt = (numTaps + 15) / 16; + q31_t acc0, acc1, acc2, acc3; + q7x16_t vecCoeffs; + + if (blockSize >= 20) + { + if (numTaps <= 16) + { + /* + * [1 to 16 taps] specialized routine + */ + arm_fir_q7_1_16_mve(S, pSrc, pDst, blockSize); + return; + } + } + + if (blockSize >= 20) + { + /* + * pState points to state array which contains previous frame (numTaps - 1) samples + * pStateCur points to the location where the new input data should be written + */ + pStateCur = &(pState[(numTaps - 1u)]); + pSamples = pState; + pTempSrc = pSrc; + pOutput = pDst; + blkCnt = blockSize >> 2; + + /* + * outer samples loop + */ + while (blkCnt > 0U) + { + const q7_t *pCoeffsTmp = pCoeffs; + const q7_t *pSamplesTmp = pSamples; + + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + /* + * Save 16 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + /* + * inner coefficients loop + */ + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + /* + * load 16 coefs + */ + vecCoeffs = *(q7x16_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmladavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmladavaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmladavaq(acc2, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[3]); + acc3 = vmladavaq(acc3, vecIn0, vecCoeffs); + + pSamplesTmp += 16; + pCoeffsTmp += 16; + /* + * Decrement the taps block loop counter + */ + i--; + } + /* + * Store the 1.7 format filter output in destination buffer + */ + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc3 >> 7U), 8); + + pSamples += 4; + /* + * Decrement the sample block loop counter + */ + blkCnt--; + } + + uint32_t residual = blockSize & 3; + switch (residual) + { + case 3: + { + const q7_t *pCoeffsTmp = pCoeffs; + const q7_t *pSamplesTmp = pSamples; + + acc0 = 0; + acc1 = 0; + acc2 = 0; + /* + * Save 16 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q7x16_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmladavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmladavaq(acc1, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[2]); + acc2 = vmladavaq(acc2, vecIn0, vecCoeffs); + + pSamplesTmp += 16; + pCoeffsTmp += 16; + i--; + } + + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc2 >> 7U), 8); + } + break; + + case 2: + { + const q7_t *pCoeffsTmp = pCoeffs; + const q7_t *pSamplesTmp = pSamples; + + acc0 = 0; + acc1 = 0; + /* + * Save 16 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q7x16_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmladavaq(acc0, vecIn0, vecCoeffs); + + vecIn0 = vld1q(&pSamplesTmp[1]); + acc1 = vmladavaq(acc1, vecIn0, vecCoeffs); + + pSamplesTmp += 16; + pCoeffsTmp += 16; + i--; + } + + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + *pOutput++ = (q7_t) __SSAT((acc1 >> 7U), 8); + } + break; + + case 1: + { + const q7_t *pCoeffsTmp = pCoeffs; + const q7_t *pSamplesTmp = pSamples; + + acc0 = 0; + /* + * Save 16 input samples in the history buffer + */ + vst1q(pStateCur, vld1q(pTempSrc)); + pStateCur += 16; + pTempSrc += 16; + + uint32_t i = tapsBlkCnt; + while (i > 0U) + { + vecCoeffs = *(q7x16_t *) pCoeffsTmp; + + vecIn0 = vld1q(pSamplesTmp); + acc0 = vmladavaq(acc0, vecIn0, vecCoeffs); + + pSamplesTmp += 16; + pCoeffsTmp += 16; + i--; + } + *pOutput++ = (q7_t) __SSAT((acc0 >> 7U), 8); + } + break; + } + } + else + { + q7_t *pStateCurnt; /* Points to the current sample of the state */ + q7_t *px; /* Temporary pointer for state buffer */ + const q7_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0; /* Accumulator */ + uint32_t i,blkCnt; /* Loop counters */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + while (i > 0U) + { + acc0 += (q15_t) * (px++) * (*(pb++)); + i--; + } + + /* The result is in 2.14 format. Convert to 1.7 + Then store the output in the destination buffer. */ + *pDst++ = __SSAT((acc0 >> 7U), 8); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + } + /* + * Copy the samples back into the history buffer start + */ + pTempSrc = &S->pState[blockSize]; + pTempDest = S->pState; + + blkCnt = numTaps >> 4; + while (blkCnt > 0U) + { + vst1q(pTempDest, vld1q(pTempSrc)); + pTempSrc += 16; + pTempDest += 16; + blkCnt--; + } + blkCnt = numTaps & 0xF; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp8q(blkCnt); + vstrbq_p_s8(pTempDest, vld1q(pTempSrc), p0); + } +} +#else +void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + q7_t *pState = S->pState; /* State pointer */ + const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *pStateCurnt; /* Points to the current sample of the state */ + q7_t *px; /* Temporary pointer for state buffer */ + const q7_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t acc1, acc2, acc3; /* Accumulators */ + q7_t x0, x1, x2, x3, c0; /* Temporary variables to hold state */ +#endif + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Copy 4 new input samples into the state buffer. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first 3 samples from the state buffer: + * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-3] sample */ + x3 = *px; + + /* acc0 += b[numTaps] * x[n-numTaps] */ + acc0 += ((q15_t) x0 * c0); + + /* acc1 += b[numTaps] * x[n-numTaps-1] */ + acc1 += ((q15_t) x1 * c0); + + /* acc2 += b[numTaps] * x[n-numTaps-2] */ + acc2 += ((q15_t) x2 * c0); + + /* acc3 += b[numTaps] * x[n-numTaps-3] */ + acc3 += ((q15_t) x3 * c0); + + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb + 1U); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x1 * c0); + acc1 += ((q15_t) x2 * c0); + acc2 += ((q15_t) x3 * c0); + acc3 += ((q15_t) x0 * c0); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb + 2U); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x2 * c0); + acc1 += ((q15_t) x3 * c0); + acc2 += ((q15_t) x0 * c0); + acc3 += ((q15_t) x1 * c0); + + /* Read the b[numTaps-3] coefficients */ + c0 = *(pb + 3U); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px + 3U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x3 * c0); + acc1 += ((q15_t) x0 * c0); + acc2 += ((q15_t) x1 * c0); + acc3 += ((q15_t) x2 * c0); + + /* update coefficient pointer */ + pb += 4U; + px += 4U; + + /* Decrement loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x0 * c0); + acc1 += ((q15_t) x1 * c0); + acc2 += ((q15_t) x2 * c0); + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement loop counter */ + tapCnt--; + } + + /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31 + Then store the 4 outputs in the destination buffer. */ + acc0 = __SSAT((acc0 >> 7U), 8); + *pDst++ = acc0; + acc1 = __SSAT((acc1 >> 7U), 8); + *pDst++ = acc1; + acc2 = __SSAT((acc2 >> 7U), 8); + *pDst++ = acc2; + acc3 = __SSAT((acc3 >> 7U), 8); + *pDst++ = acc3; + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining output samples */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of taps */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + while (i > 0U) + { + acc0 += (q15_t) * (px++) * (*(pb++)); + i--; + } + + /* The result is in 2.14 format. Convert to 1.7 + Then store the output in the destination buffer. */ + *pDst++ = __SSAT((acc0 >> 7U), 8); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time */ + tapCnt = (numTaps - 1U) >> 2U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of taps */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + /* Copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of FIR group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_f32.c new file mode 100644 index 0000000..f44f037 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_f32.c @@ -0,0 +1,341 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_f32.c + * Description: Floating-point sparse FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters + + This group of functions implements sparse FIR filters. + Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero. + Sparse filters are used for simulating reflections in communications and audio applications. + + There are separate functions for Q7, Q15, Q31, and floating-point data types. + The functions operate on blocks of input and output data and each call to the function processes + blockSize samples through the filter. pSrc and + pDst points to input and output arrays respectively containing blockSize values. + + @par Algorithm + The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients. + This is in addition to the coefficient array b. + The implementation essentially skips the multiplications by zero and leads to an efficient realization. + 
+      y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]
+
+ @par + \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" + @par + pCoeffs points to a coefficient array of size numTaps; + pTapDelay points to an array of nonzero indices and is also of size numTaps; + pState points to a state array of size maxDelay + blockSize, where + maxDelay is the largest offset value that is ever used in the pTapDelay array. + Some of the processing functions also require temporary working buffers. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared. + There are separate instance structure declarations for each of the 4 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + The code below statically initializes each of the 4 different data type filter instance structures + 
+      arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+
+ + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the sparse FIR filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Processing function for the floating-point sparse FIR filter. + @param[in] S points to an instance of the floating-point sparse FIR structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] pScratchIn points to a temporary buffer of size blockSize + @param[in] blockSize number of input samples to process + @return none + */ + +void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + const float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *px; /* Scratch buffer pointer */ + float32_t *py = pState; /* Temporary pointers for state buffer */ + float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + float32_t *pOut; /* Destination pointer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + float32_t coeff = *pCoeffs++; /* Read the first coefficient value */ + + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, (int32_t *) pSrc, 1, blockSize); + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in destination buffer */ + *pOut++ = *px++ * coeff; + + *pOut++ = *px++ * coeff; + + *pOut++ = *px++ * coeff; + + *pOut++ = *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiplication and store in destination buffer */ + *pOut++ = *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + *pOut++ += *px++ * coeff; + + *pOut++ += *px++ * coeff; + + *pOut++ += *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_f32.c new file mode 100644 index 0000000..4750f77 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_f32.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_f32.c + * Description: Floating-point sparse FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Initialization function for the floating-point sparse FIR filter. + @param[in,out] S points to an instance of the floating-point sparse FIR structure + @param[in] numTaps number of nonzero coefficients in the filter + @param[in] pCoeffs points to the array of filter coefficients + @param[in] pState points to the state buffer + @param[in] pTapDelay points to the array of offset times + @param[in] maxDelay maximum offset time supported + @param[in] blockSize number of samples that will be processed per block + @return none + + @par Details + pCoeffs holds the filter coefficients and has length numTaps. + pState holds the filter's state variables and must be of length + maxDelay + blockSize, where maxDelay + is the maximum number of delay line values. + blockSize is the + number of samples processed by the arm_fir_sparse_f32() function. + */ + +void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q15.c new file mode 100644 index 0000000..d07d611 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q15.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q15.c + * Description: Q15 sparse FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Initialization function for the Q15 sparse FIR filter. + @param[in,out] S points to an instance of the Q15 sparse FIR structure + @param[in] numTaps number of nonzero coefficients in the filter + @param[in] pCoeffs points to the array of filter coefficients + @param[in] pState points to the state buffer + @param[in] pTapDelay points to the array of offset times + @param[in] maxDelay maximum offset time supported + @param[in] blockSize number of samples that will be processed per block + @return none + + @par Details + pCoeffs holds the filter coefficients and has length numTaps. + pState holds the filter's state variables and must be of length + maxDelay + blockSize, where maxDelay + is the maximum number of delay line values. + blockSize is the + number of words processed by arm_fir_sparse_q15() function. + */ + +void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q31.c new file mode 100644 index 0000000..7c32cea --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q31.c @@ -0,0 +1,92 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q31.c + * Description: Q31 sparse FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Initialization function for the Q31 sparse FIR filter. + @param[in,out] S points to an instance of the Q31 sparse FIR structure + @param[in] numTaps number of nonzero coefficients in the filter + @param[in] pCoeffs points to the array of filter coefficients + @param[in] pState points to the state buffer + @param[in] pTapDelay points to the array of offset times + @param[in] maxDelay maximum offset time supported + @param[in] blockSize number of samples that will be processed per block + @return none + + @par Details + pCoeffs holds the filter coefficients and has length numTaps. + pState holds the filter's state variables and must be of length + maxDelay + blockSize, where maxDelay + is the maximum number of delay line values. + blockSize is the number of words processed by arm_fir_sparse_q31() function. + */ + +void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q7.c new file mode 100644 index 0000000..98153f3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_init_q7.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q7.c + * Description: Q7 sparse FIR filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Initialization function for the Q7 sparse FIR filter. + @param[in,out] S points to an instance of the Q7 sparse FIR structure + @param[in] numTaps number of nonzero coefficients in the filter + @param[in] pCoeffs points to the array of filter coefficients + @param[in] pState points to the state buffer + @param[in] pTapDelay points to the array of offset times + @param[in] maxDelay maximum offset time supported + @param[in] blockSize number of samples that will be processed per block + @return none + + @par Details + pCoeffs holds the filter coefficients and has length numTaps. + pState holds the filter's state variables and must be of length + maxDelay + blockSize, where maxDelay + is the maximum number of delay line values. + blockSize is the + number of samples processed by the arm_fir_sparse_q7() function. + */ + +void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q15.c new file mode 100644 index 0000000..9cea93e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q15.c @@ -0,0 +1,341 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q15.c + * Description: Q15 sparse FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Processing function for the Q15 sparse FIR filter. + @param[in] S points to an instance of the Q15 sparse FIR structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] pScratchIn points to a temporary buffer of size blockSize + @param[in] pScratchOut points to a temporary buffer of size blockSize + @param[in] blockSize number of input samples to process per call + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator. + Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator. + If the accumulator result overflows it will wrap around rather than saturate. + After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format. + In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. + */ + +void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + const q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *px; /* Temporary pointers for scratch buffer */ + q15_t *py = pState; /* Temporary pointers for state buffer */ + q15_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q15_t *pOut = pDst; /* Working pointer for output */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */ + q15_t coeff = *pCoeffs++; /* Read the first coefficient value */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in1, in2; /* Temporary variables */ +#endif + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q15(py, (int32_t) delaySize, &S->stateIndex, 1,pSrc, 1, blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) *px++ * coeff); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + *pScratchOut++ += (q31_t) *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) *px++ * coeff; + + /* Decrement loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + in1 = *pScr2++; + in2 = *pScr2++; + +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = *pScr2++; + in2 = *pScr2++; + +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16)); +#else + write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q31.c new file mode 100644 index 0000000..86d3e1d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q31.c @@ -0,0 +1,357 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q31.c + * Description: Q31 sparse FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Processing function for the Q31 sparse FIR filter. + @param[in] S points to an instance of the Q31 sparse FIR structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] pScratchIn points to a temporary buffer of size blockSize + @param[in] blockSize number of input samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The 1.31 x 1.31 multiplications are truncated to 2.30 format. + This leads to loss of precision on the intermediate multiplications and provides only a single guard bit. + If the accumulator result overflows, it wraps around rather than saturate. + In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. + */ + +void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + const q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *px; /* Scratch buffer pointer */ + q31_t *py = pState; /* Temporary pointers for state buffer */ + q31_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q31_t *pOut; /* Destination pointer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q31_t coeff = *pCoeffs++; /* Read the first coefficient value */ + q31_t in; + q63_t out; /* Temporary output variable */ + + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, + (int32_t *) pSrc, 1, blockSize); + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in destination buffer */ + *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32); + + *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32); + + *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32); + + *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiplication and store in destination buffer */ + *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) *px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Working output pointer is updated */ + pOut = pDst; + + /* Output is converted into 1.31 format. */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + in = *pOut << 1; + *pOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q7.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q7.c new file mode 100644 index 0000000..7a2b57f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_fir_sparse_q7.c @@ -0,0 +1,341 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q7.c + * Description: Q7 sparse FIR filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup FIR_Sparse + @{ + */ + +/** + @brief Processing function for the Q7 sparse FIR filter. + @param[in] S points to an instance of the Q7 sparse FIR structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] pScratchIn points to a temporary buffer of size blockSize + @param[in] pScratchOut points to a temporary buffer of size blockSize + @param[in] blockSize number of input samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. + The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + The accumulator is then converted to 18.7 format by discarding the low 7 bits. + Finally, the result is truncated to 1.7 format. + */ + +void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize) +{ + q7_t *pState = S->pState; /* State pointer */ + const q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *px; /* Scratch buffer pointer */ + q7_t *py = pState; /* Temporary pointers for state buffer */ + q7_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q7_t *pOut = pDst; /* Destination pointer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */ + q31_t in; + q7_t coeff = *pCoeffs++; /* Read the coefficient value */ + +#if defined (ARM_MATH_LOOPUNROLL) + q7_t in1, in2, in3, in4; +#endif + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + *pScratchOut++ = ((q31_t) *px++ * coeff); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) *px++ * coeff); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, + pb, pb, (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) *px++ * coeff); + *pScratchOut++ = in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + + write_q7x4_ia (&pOut, __PACKq7(in1, in2, in3, in4)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} + +/** + @} end of FIR_Sparse group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_f32.c new file mode 100644 index 0000000..b38fca2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_f32.c @@ -0,0 +1,354 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_f32.c + * Description: Floating-point IIR Lattice filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters + + This set of functions implements lattice filters + for Q15, Q31 and floating-point data types. Lattice filters are used in a + variety of adaptive filter applications. The filter structure has feedforward and + feedback components and the net impulse response is infinite length. + The functions operate on blocks + of input and output data and each call to the function processes + blockSize samples through the filter. pSrc and + pDst point to input and output arrays containing blockSize values. + + @par Algorithm + \image html IIRLattice.gif "Infinite Impulse Response Lattice filter" + @par + 
+      fN(n)   = x(n)
+      fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ..., 1
+      gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ..., 1
+      y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)
+
+ @par + pkCoeffs points to array of reflection coefficients of size numStages. + Reflection Coefficients are stored in time-reversed order. + @par + 
+     {kN, kN-1, ..., k1}
+
+ @par + pvCoeffs points to the array of ladder coefficients of size (numStages+1). + Ladder coefficients are stored in time-reversed order. + 
+      {vN, vN-1, ..., v0}
+
+ @par + pState points to a state array of size numStages + blockSize. + The state variables shown in the figure above (the g values) are stored in the pState array. + The state variables are updated after each block of data is processed; the coefficients are untouched. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter. + Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero. + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: + 
+      arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};
+      arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};
+      arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};
+
+ @par + where numStages is the number of stages in the filter; pState points to the state buffer array; + pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the IIR lattice filter functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Processing function for the floating-point IIR lattice filter. + @param[in] S points to an instance of the floating-point IIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + */ + +void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pStateCur; /* State current pointer */ + float32_t acc; /* Accumlator */ + float32_t fnext1, fnext2, gcurr1, gnext; /* Temporary variables for lattice stages */ + float32_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* Number of stages */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t gcurr2; /* Temporary variables for lattice stages */ + float32_t k1, k2; + float32_t v1, v2, v3, v4; +#endif + + /* initialise loop count */ + blkCnt = blockSize; + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fnext2 = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0.0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numStages) >> 2U; + + while (tapCnt > 0U) + { + /* Read gN-1(n-1) from state buffer */ + gcurr1 = *px1; + + /* read reflection coefficient kN */ + k1 = *pk; + + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext1 = fnext2 - (k1 * gcurr1); + + /* read ladder coefficient vN */ + v1 = *pv; + + /* read next reflection coefficient kN-1 */ + k2 = *(pk + 1U); + + /* Read gN-2(n-1) from state buffer */ + gcurr2 = *(px1 + 1U); + + /* read next ladder coefficient vN-1 */ + v2 = *(pv + 1U); + + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext2 = fnext1 - (k2 * gcurr2); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = gcurr1 + (k1 * fnext1); + + /* read reflection coefficient kN-2 */ + k1 = *(pk + 2U); + + /* write gN(n) into state for next sample processing */ + *px2++ = gnext; + + /* Read gN-3(n-1) from state buffer */ + gcurr1 = *(px1 + 2U); + + /* y(n) += gN(n) * vN */ + acc += (gnext * v1); + + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fnext1 = fnext2 - (k1 * gcurr1); + + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = gcurr2 + (k2 * fnext2); + + /* Read gN-4(n-1) from state buffer */ + gcurr2 = *(px1 + 3U); + + /* y(n) += gN-1(n) * vN-1 */ + acc += (gnext * v2); + + /* read reflection coefficient kN-3 */ + k2 = *(pk + 3U); + + /* write gN-1(n) into state for next sample processing */ + *px2++ = gnext; + + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext2 = fnext1 - (k2 * gcurr2); + + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = gcurr1 + (k1 * fnext1); + + /* read ladder coefficient vN-2 */ + v3 = *(pv + 2U); + + /* y(n) += gN-2(n) * vN-2 */ + acc += (gnext * v3); + + /* write gN-2(n) into state for next sample processing */ + *px2++ = gnext; + + /* update pointer */ + pk += 4U; + + /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ + gnext = (fnext2 * k2) + gcurr2; + + /* read next ladder coefficient vN-3 */ + v4 = *(pv + 3U); + + /* y(n) += gN-4(n) * vN-4 */ + acc += (gnext * v4); + + /* write gN-3(n) into state for next sample processing */ + *px2++ = gnext; + + /* update pointers */ + px1 += 4U; + pv += 4U; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numStages % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numStages; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + gcurr1 = *px1++; + /* Process sample for last taps */ + fnext1 = fnext2 - ((*pk) * gcurr1); + gnext = (fnext1 * (*pk++)) + gcurr1; + /* Output samples for last taps */ + acc += (gnext * (*pv++)); + *px2++ = gnext; + fnext2 = fnext1; + + /* Decrement loop counter */ + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (fnext2 * (*pv)); + + *px2++ = fnext2; + + /* write out into pDst */ + *pDst++ = acc; + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCur = &S->pState[0]; + pState = &S->pState[blockSize]; + + /* Copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numStages >> 2U; + + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numStages % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + tapCnt = numStages; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_f32.c new file mode 100644 index 0000000..bd9f933 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_f32.c @@ -0,0 +1,77 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_f32.c + * Description: Floating-point IIR lattice filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Initialization function for the floating-point IIR lattice filter. + @param[in] S points to an instance of the floating-point IIR lattice structure + @param[in] numStages number of stages in the filter + @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages + @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1 + @param[in] pState points to state buffer. The array is of length numStages+blockSize + @param[in] blockSize number of samples to process + @return none + */ + +void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q15.c new file mode 100644 index 0000000..01abf48 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q15.c @@ -0,0 +1,77 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_q15.c + * Description: Q15 IIR lattice filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Initialization function for the Q15 IIR lattice filter. + @param[in] S points to an instance of the Q15 IIR lattice structure + @param[in] numStages number of stages in the filter + @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages + @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1 + @param[in] pState points to state buffer. The array is of length numStages+blockSize + @param[in] blockSize number of samples to process + @return none + */ + +void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q31.c new file mode 100644 index 0000000..b472f6c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_init_q31.c @@ -0,0 +1,77 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_q31.c + * Description: Initialization function for the Q31 IIR lattice filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Initialization function for the Q31 IIR lattice filter. + @param[in] S points to an instance of the Q31 IIR lattice structure + @param[in] numStages number of stages in the filter + @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages + @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1 + @param[in] pState points to state buffer. The array is of length numStages+blockSize + @param[in] blockSize number of samples to process + @return none + */ + +void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q15.c new file mode 100644 index 0000000..9dbea81 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q15.c @@ -0,0 +1,396 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_q15.c + * Description: Q15 IIR Lattice filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Processing function for the Q15 IIR lattice filter. + @param[in] S points to an instance of the Q15 IIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ + +void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pStateCur; /* State current pointer */ + q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ + q63_t acc; /* Accumlator */ + q15_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* Number of stages */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + q15_t out; /* Temporary variable for output */ + +#if defined (ARM_MATH_DSP) && defined (ARM_MATH_LOOPUNROLL) + q15_t gnext1, gnext2; /* Temporary variables for lattice stages */ + q31_t v; /* Temporary variable for ladder coefficient */ +#endif + + /* initialise loop count */ + blkCnt = blockSize; + +#if defined (ARM_MATH_DSP) + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0; + + /* Process sample for first tap */ + gcurr = *px1++; + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + + /* write gN(n) into state for next sample processing */ + *px2++ = (q15_t) gnext; + + /* y(n) += gN(n) * vN */ + acc += (q31_t) ((gnext * (*pv++))); + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numStages - 1U) >> 2U; + + while (tapCnt > 0U) + { + /* Process sample for 2nd, 6th ...taps */ + /* Read gN-2(n-1) from state buffer */ + gcurr = *px1++; + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext1 = (q15_t) __SSAT(gnext, 16); + /* write gN-1(n) into state for next sample processing */ + *px2++ = (q15_t) gnext1; + + /* Process sample for 3nd, 7th ...taps */ + /* Read gN-3(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 3rd, 7th .. taps */ + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); + fcurr = __SSAT(fcurr, 16); + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; + gnext2 = (q15_t) __SSAT(gnext, 16); + /* write gN-2(n) into state */ + *px2++ = (q15_t) gnext2; + + /* Read vN-1 and vN-2 at a time */ + v = read_q15x2_ia (&pv); + + /* Pack gN-1(n) and gN-2(n) */ + +#ifndef ARM_MATH_BIG_ENDIAN + gnext = __PKHBT(gnext1, gnext2, 16); +#else + gnext = __PKHBT(gnext2, gnext1, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* y(n) += gN-1(n) * vN-1 */ + /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ + /* y(n) += gN-2(n) * vN-2 */ + /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ + acc = __SMLALD(gnext, v, acc); + + /* Process sample for 4th, 8th ...taps */ + /* Read gN-4(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 4th, 8th .. taps */ + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext1 = (q15_t) __SSAT(gnext, 16); + /* write gN-3(n) for the next sample process */ + *px2++ = (q15_t) gnext1; + + /* Process sample for 5th, 9th ...taps */ + /* Read gN-5(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 5th, 9th .. taps */ + /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */ + fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); + fcurr = __SSAT(fcurr, 16); + /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ + gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; + gnext2 = (q15_t) __SSAT(gnext, 16); + /* write gN-4(n) for the next sample process */ + *px2++ = (q15_t) gnext2; + + /* Read vN-3 and vN-4 at a time */ + v = read_q15x2_ia (&pv); + + /* Pack gN-3(n) and gN-4(n) */ +#ifndef ARM_MATH_BIG_ENDIAN + gnext = __PKHBT(gnext1, gnext2, 16); +#else + gnext = __PKHBT(gnext2, gnext1, 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* y(n) += gN-4(n) * vN-4 */ + /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ + /* y(n) += gN-3(n) * vN-3 */ + /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ + acc = __SMLALD(gnext, v, acc); + + /* Decrement loop counter */ + tapCnt--; + } + + fnext = fcurr; + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numStages - 1U) % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + tapCnt = (numStages - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample for last taps */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + + /* Output samples for last taps */ + acc += (q31_t) (((q31_t) gnext * (*pv++))); + *px2++ = (q15_t) gnext; + fcurr = fnext; + + /* Decrement loop counter */ + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (q31_t) (((q31_t) fnext * (*pv++))); + + out = (q15_t) __SSAT(acc >> 15, 16); + *px2++ = (q15_t) fnext; + + /* write out into pDst */ + *pDst++ = out; + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCur = &S->pState[0]; + pState = &S->pState[blockSize]; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numStages >> 2U; + + while (tapCnt > 0U) + { + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numStages % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + tapCnt = (numStages - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#else /* #if defined (ARM_MATH_DSP) */ + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0; + + tapCnt = numStages; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample */ + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = fcurr - ((gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = ((fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + + /* Output samples */ + /* y(n) += gN(n) * vN */ + acc += (q31_t) ((gnext * (*pv++))); + + /* write gN(n) into state for next sample processing */ + *px2++ = (q15_t) gnext; + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (q31_t) ((fnext * (*pv++))); + + out = (q15_t) __SSAT(acc >> 15, 16); + *px2++ = (q15_t) fnext; + + /* write out into pDst */ + *pDst++ = out; + + /* Advance the state pointer by 1 to process the next group of samples */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCur = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q31.c new file mode 100644 index 0000000..fbc74d8 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_iir_lattice_q31.c @@ -0,0 +1,356 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_q31.c + * Description: Q31 IIR Lattice filter processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup IIR_Lattice + @{ + */ + +/** + @brief Processing function for the Q31 IIR lattice filter. + @param[in] S points to an instance of the Q31 IIR lattice structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits. + After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format. + */ + +void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pStateCur; /* State current pointer */ + q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ + q63_t acc; /* Accumlator */ + q31_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* Number of stages */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + + + /* initialise loop count */ + blkCnt = blockSize; + +#if defined (ARM_MATH_DSP) + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0; + + /* Process sample for first tap */ + gcurr = *px1++; + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + + /* write gN-1(n-1) into state for next sample processing */ + *px2++ = gnext; + + /* y(n) += gN(n) * vN */ + acc += ((q63_t) gnext * *pv++); + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numStages - 1U) >> 2U; + + while (tapCnt > 0U) + { + /* Process sample for 2nd, 6th ...taps */ + /* Read gN-2(n-1) from state buffer */ + gcurr = *px1++; + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* y(n) += gN-1(n) * vN-1 */ + /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-1(n) into state for next sample processing */ + *px2++ = gnext; + + /* Process sample for 3nd, 7th ...taps */ + /* Read gN-3(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 3rd, 7th .. taps */ + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); + /* y(n) += gN-2(n) * vN-2 */ + /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-2(n) into state for next sample processing */ + *px2++ = gnext; + + /* Process sample for 4th, 8th ...taps */ + /* Read gN-4(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 4th, 8th .. taps */ + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* y(n) += gN-3(n) * vN-3 */ + /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-3(n) into state for next sample processing */ + *px2++ = gnext; + + /* Process sample for 5th, 9th ...taps */ + /* Read gN-5(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 5th, 9th .. taps */ + /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */ + fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); + /* y(n) += gN-4(n) * vN-4 */ + /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ + acc += ((q63_t) gnext * *pv++); + + /* write gN-4(n) into state for next sample processing */ + *px2++ = gnext; + + /* Decrement loop counter */ + tapCnt--; + } + + fnext = fcurr; + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numStages - 1U) % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + tapCnt = (numStages - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample for last taps */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk )) >> 31)); + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + + /* Output samples for last taps */ + acc += ((q63_t) gnext * *pv++); + *px2++ = gnext; + fcurr = fnext; + + /* Decrement loop counter */ + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += ((q63_t) fnext * *pv++); + + *px2++ = fnext; + + /* write out into pDst */ + *pDst++ = (q31_t) (acc >> 31U); + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCur = &S->pState[0]; + pState = &S->pState[blockSize]; + + /* Copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numStages >> 2U; + + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numStages % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + tapCnt = (numStages - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#else /* #if defined (ARM_MATH_DSP) */ + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0; + + tapCnt = numStages; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample */ + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = clip_q63_to_q31(((q63_t) fcurr - ((q31_t) (((q63_t) gcurr * (*pk )) >> 31)))); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = clip_q63_to_q31(((q63_t) gcurr + ((q31_t) (((q63_t) fnext * (*pk++)) >> 31)))); + + /* Output samples */ + /* y(n) += gN(n) * vN */ + acc += ((q63_t) gnext * *pv++); + + /* write gN-1(n-1) into state for next sample processing */ + *px2++ = gnext; + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += ((q63_t) fnext * *pv++); + + *px2++ = fnext; + + /* write out into pDst */ + *pDst++ = (q31_t) (acc >> 31U); + + /* Advance the state pointer by 1 to process the next group of samples */ + pState = pState + 1U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCur = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCur++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + @} end of IIR_Lattice group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_f32.c new file mode 100644 index 0000000..0a312e9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_f32.c @@ -0,0 +1,533 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_f32.c + * Description: Processing function for the floating-point LMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup LMS Least Mean Square (LMS) Filters + + LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions. + LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal. + Adaptive filters are often used in communication systems, equalizers, and noise removal. + The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types. + The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal. + + An LMS filter consists of two components as shown below. + The first component is a standard transversal or FIR filter. + The second component is a coefficient update mechanism. + The LMS filter has two input signals. + The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. + That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. + The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. + This "error signal" tends towards zero as the filter adapts. + The LMS processing functions accept the input and reference input signals and generate the filter output and error signal. + \image html LMS.gif "Internal structure of the Least Mean Square filter" + + The functions operate on blocks of data and each call to the function processes + blockSize samples through the filter. + pSrc points to input signal, pRef points to reference signal, + pOut points to output signal and pErr points to error signal. + All arrays contain blockSize values. + + The functions operate on a block-by-block basis. + Internally, the filter coefficients b[n] are updated on a sample-by-sample basis. + The convergence of the LMS filter is slower compared to the normalized LMS algorithm. + + @par Algorithm + The output signal y[n] is computed by a standard FIR filter: + 
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+
+ + @par + The error signal equals the difference between the reference signal d[n] and the filter output: + 
+      e[n] = d[n] - y[n].
+
+ + @par + After each sample of the error signal is computed, the filter coefficients b[k] are updated on a sample-by-sample basis: + 
+      b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1
+
+ where mu is the step size and controls the rate of coefficient convergence. + @par + In the APIs, pCoeffs points to a coefficient array of size numTaps. + Coefficients are stored in time reversed order. + @par + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to a state array of size numTaps + blockSize - 1. + Samples in the state buffer are stored in the order: + @par + 
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par + Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples. + The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, + to be avoided and yields a significant speed improvement. + The state variables are updated after each block of data is processed. + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter and + coefficient and state arrays cannot be shared among instances. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero. + + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Set the values in the state buffer to zeros before static initialization. + The code below statically initializes each of the 3 different data type filter instance structures + 
+     arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};
+     arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};
+     arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};
+
+ where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer; + pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients. + + @par Fixed-Point Behavior + Care must be taken when using the Q15 and Q31 versions of the LMS filter. + The following issues must be considered: + - Scaling of coefficients + - Overflow and saturation + + @par Scaling of Coefficients + Filter coefficients are represented as fractional values and + coefficients are restricted to lie in the range [-1 +1). + The fixed-point functions have an additional scaling parameter postShift. + At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + This essentially scales the filter coefficients by 2^postShift and + allows the filter coefficients to exceed the range [+1 -1). + The value of postShift is set by the user based on the expected gain through the system being modeled. + + @par Overflow and Saturation + Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are + described separately as part of the function specific documentation below. + */ + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Processing function for floating-point LMS filter. + @param[in] S points to an instance of the floating-point LMS filter structure + @param[in] pSrc points to the block of input data + @param[in] pRef points to the block of reference data + @param[out] pOut points to the block of output data + @param[out] pErr points to the block of error data + @param[in] blockSize number of samples to process + @return none + */ +#if defined(ARM_MATH_NEON) +void arm_lms_f32( + const arm_lms_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t sum, e, d; /* accumulator, error, reference data sample */ + float32_t w = 0.0f; /* weight factor */ + + float32x4_t tempV, sumV, xV, bV; + float32x2_t tempV2; + + e = 0.0f; + d = 0.0f; + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Set the accumulator to zero */ + sum = 0.0f; + sumV = vdupq_n_f32(0.0); + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + xV = vld1q_f32(px); + bV = vld1q_f32(pb); + sumV = vmlaq_f32(sumV, xV, bV); + + px += 4; + pb += 4; + + /* Decrement the loop counter */ + tapCnt--; + } + tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1); + + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator, store in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for the updating filter coefficients */ + w = e * mu; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + xV = vld1q_f32(px); + bV = vld1q_f32(pb); + px += 4; + bV = vmlaq_n_f32(bV,xV,w); + + vst1q_f32(pb,bV); + pb += 4; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb = *pb + (w * (*px++)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Process 4 taps at a time for (numTaps - 1U) samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + tempV = vld1q_f32(pState); + vst1q_f32(pStateCurnt,tempV); + pState += 4; + pStateCurnt += 4; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + +} +#else +void arm_lms_f32( + const arm_lms_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + float32_t acc, e; /* Accumulator, error */ + float32_t w; /* Weight factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + + /* Initializations of error, difference, Coefficient update */ + e = 0.0f; + w = 0.0f; + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = acc; + + /* Compute and store error */ + e = (float32_t) *pRef++ - acc; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + w = e * mu; + + /* Initialize pState pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_f32.c new file mode 100644 index 0000000..f418f46 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_f32.c @@ -0,0 +1,81 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_f32.c + * Description: Floating-point LMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Initialization function for floating-point LMS filter. + @param[in] S points to an instance of the floating-point LMS filter structure + @param[in] numTaps number of filter coefficients + @param[in] pCoeffs points to coefficient buffer + @param[in] pState points to state buffer + @param[in] mu step size that controls filter coefficient updates + @param[in] blockSize number of samples to process + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32(). + */ + +void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps */ + memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; +} + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q15.c new file mode 100644 index 0000000..fe0a5c5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q15.c @@ -0,0 +1,92 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_q15.c + * Description: Q15 LMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Initialization function for the Q15 LMS filter. + @param[in] S points to an instance of the Q15 LMS filter structure. + @param[in] numTaps number of filter coefficients. + @param[in] pCoeffs points to coefficient buffer. + @param[in] pState points to state buffer. + @param[in] mu step size that controls filter coefficient updates. + @param[in] blockSize number of samples to process. + @param[in] postShift bit shift applied to coefficients. + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to the array of state variables and size of array is + numTaps+blockSize-1 samples, where blockSize is the number of + input samples processed by each call to arm_lms_q15(). + */ + +void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Assign postShift value to be applied */ + S->postShift = postShift; +} + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q31.c new file mode 100644 index 0000000..3410b9f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_init_q31.c @@ -0,0 +1,92 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_q31.c + * Description: Q31 LMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Initialization function for Q31 LMS filter. + @param[in] S points to an instance of the Q31 LMS filter structure + @param[in] numTaps number of filter coefficients + @param[in] pCoeffs points to coefficient buffer + @param[in] pState points to state buffer + @param[in] mu step size that controls filter coefficient updates + @param[in] blockSize number of samples to process + @param[in] postShift bit shift applied to coefficients + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to an array of length numTaps+blockSize-1 samples, + where blockSize is the number of input samples processed by each call to + arm_lms_q31(). + */ + +void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Assign postShift value to be applied */ + S->postShift = postShift; +} + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_f32.c new file mode 100644 index 0000000..d718402 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_f32.c @@ -0,0 +1,564 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_f32.c + * Description: Processing function for the floating-point NLMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @defgroup LMS_NORM Normalized LMS Filters + + This set of functions implements a commonly used adaptive filter. + It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization + factor which increases the adaptation rate of the filter. + The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types. + + A normalized least mean square (NLMS) filter consists of two components as shown below. + The first component is a standard transversal or FIR filter. + The second component is a coefficient update mechanism. + The NLMS filter has two input signals. + The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. + That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. + The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. + This "error signal" tends towards zero as the filter adapts. + The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal. + \image html LMS.gif "Internal structure of the NLMS adaptive filter" + + The functions operate on blocks of data and each call to the function processes + blockSize samples through the filter. + pSrc points to input signal, pRef points to reference signal, + pOut points to output signal and pErr points to error signal. + All arrays contain blockSize values. + + The functions operate on a block-by-block basis. + Internally, the filter coefficients b[n] are updated on a sample-by-sample basis. + The convergence of the LMS filter is slower compared to the normalized LMS algorithm. + + @par Algorithm + The output signal y[n] is computed by a standard FIR filter: + 
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+
+ + @par + The error signal equals the difference between the reference signal d[n] and the filter output: + 
+      e[n] = d[n] - y[n].
+
+ + @par + After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: + 
+     E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.
+
+ The filter coefficients b[k] are then updated on a sample-by-sample basis: + 
+      b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1
+
+ where mu is the step size and controls the rate of coefficient convergence. + @par + In the APIs, pCoeffs points to a coefficient array of size numTaps. + Coefficients are stored in time reversed order. + @par + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ @par + pState points to a state array of size numTaps + blockSize - 1. + Samples in the state buffer are stored in the order: + @par + 
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+
+ @par + Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples. + The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, + to be avoided and yields a significant speed improvement. + The state variables are updated after each block of data is processed. + + @par Instance Structure + The coefficients and state variables for a filter are stored together in an instance data structure. + A separate instance structure must be defined for each filter and + coefficient and state arrays cannot be shared among instances. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Zeros out the values in the state buffer. + To do this manually without calling the init function, assign the follow subfields of the instance structure: + numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. + For Q7, Q15, and Q31 the following fields must also be initialized; + recipTable, postShift + @par + Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + @par Fixed-Point Behavior + Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter. + The following issues must be considered: + - Scaling of coefficients + - Overflow and saturation + + @par Scaling of Coefficients (fixed point versions) + Filter coefficients are represented as fractional values and + coefficients are restricted to lie in the range [-1 +1). + The fixed-point functions have an additional scaling parameter postShift. + At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + This essentially scales the filter coefficients by 2^postShift and + allows the filter coefficients to exceed the range [+1 -1). + The value of postShift is set by the user based on the expected gain through the system being modeled. + + @par Overflow and Saturation (fixed point versions) + Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are + described separately as part of the function specific documentation below. + */ + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Processing function for floating-point normalized LMS filter. + @param[in] S points to an instance of the floating-point normalized LMS filter structure + @param[in] pSrc points to the block of input data + @param[in] pRef points to the block of reference data + @param[out] pOut points to the block of output data + @param[out] pErr points to the block of error data + @param[in] blockSize number of samples to process + @return none + */ + +#if defined(ARM_MATH_NEON) +void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t energy; /* Energy of the input */ + float32_t sum, e, d; /* accumulator, error, reference data sample */ + float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */ + + float32x4_t tempV, sumV, xV, bV; + float32x2_t tempV2; + + /* Initializations of error, difference, Coefficient update */ + e = 0.0f; + d = 0.0f; + w = 0.0f; + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + sum = 0.0f; + sumV = vdupq_n_f32(0.0); + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + xV = vld1q_f32(px); + bV = vld1q_f32(pb); + sumV = vmlaq_f32(sumV, xV, bV); + + px += 4; + pb += 4; + + /* Decrement the loop counter */ + tapCnt--; + } + tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(tempV2, 0) + vget_lane_f32(tempV2, 1); + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator, store in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + xV = vld1q_f32(px); + bV = vld1q_f32(pb); + px += 4; + bV = vmlaq_n_f32(bV,xV,w); + + vst1q_f32(pb,bV); + pb += 4; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Process 4 taps at a time for (numTaps - 1U)/4 samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + tempV = vld1q_f32(pState); + vst1q_f32(pStateCurnt,tempV); + pState += 4; + pStateCurnt += 4; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} +#else +void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + float32_t acc, e; /* Accumulator, error */ + float32_t w; /* Weight factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t energy; /* Energy of the input */ + float32_t x0, in; /* Temporary variable to hold input sample and state */ + + /* Initializations of error, difference, Coefficient update */ + e = 0.0f; + w = 0.0f; + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + acc = 0.0f; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + acc += (*px++) * (*pb++); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = acc; + + /* Compute and store error */ + e = (float32_t) *pRef++ - acc; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_f32.c new file mode 100644 index 0000000..543dc72 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_f32.c @@ -0,0 +1,92 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_f32.c + * Description: Floating-point NLMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Initialization function for floating-point normalized LMS filter. + @param[in] S points to an instance of the floating-point LMS filter structure + @param[in] numTaps number of filter coefficients + @param[in] pCoeffs points to coefficient buffer + @param[in] pState points to state buffer + @param[in] mu step size that controls filter coefficient updates + @param[in] blockSize number of samples to process + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to an array of length numTaps+blockSize-1 samples, + where blockSize is the number of input samples processed by each call to arm_lms_norm_f32(). + */ + +void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialise Energy to zero */ + S->energy = 0.0f; + + /* Initialise x0 to zero */ + S->x0 = 0.0f; +} + +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q15.c new file mode 100644 index 0000000..d581ac1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q15.c @@ -0,0 +1,98 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_q15.c + * Description: Q15 NLMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Initialization function for Q15 normalized LMS filter. + @param[in] S points to an instance of the Q15 normalized LMS filter structure. + @param[in] numTaps number of filter coefficients. + @param[in] pCoeffs points to coefficient buffer. + @param[in] pState points to state buffer. + @param[in] mu step size that controls filter coefficient updates. + @param[in] blockSize number of samples to process. + @param[in] postShift bit shift applied to coefficients. + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to the array of state variables and size of array is + numTaps+blockSize-1 samples, where blockSize is the number of input samples processed + by each call to arm_lms_norm_q15(). + */ + +void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign post Shift value applied to coefficients */ + S->postShift = postShift; + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialize reciprocal pointer table */ + S->recipTable = (q15_t *) armRecipTableQ15; + + /* Initialise Energy to zero */ + S->energy = 0; + + /* Initialise x0 to zero */ + S->x0 = 0; +} + +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q31.c new file mode 100644 index 0000000..30e78ec --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_init_q31.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_q31.c + * Description: Q31 NLMS filter initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Initialization function for Q31 normalized LMS filter. + @param[in] S points to an instance of the Q31 normalized LMS filter structure. + @param[in] numTaps number of filter coefficients. + @param[in] pCoeffs points to coefficient buffer. + @param[in] pState points to state buffer. + @param[in] mu step size that controls filter coefficient updates. + @param[in] blockSize number of samples to process. + @param[in] postShift bit shift applied to coefficients. + @return none + + @par Details + pCoeffs points to the array of filter coefficients stored in time reversed order: + 
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+
+ The initial filter coefficients serve as a starting point for the adaptive filter. + pState points to an array of length numTaps+blockSize-1 samples, + where blockSize is the number of input samples processed by each call to arm_lms_norm_q31(). + */ + +void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign post Shift value applied to coefficients */ + S->postShift = postShift; + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialize reciprocal pointer table */ + S->recipTable = (q31_t *) armRecipTableQ31; + + /* Initialise Energy to zero */ + S->energy = 0; + + /* Initialise x0 to zero */ + S->x0 = 0; +} + +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q15.c new file mode 100644 index 0000000..c15ad5e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q15.c @@ -0,0 +1,297 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_q15.c + * Description: Processing function for Q15 normalized LMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Processing function for Q15 normalized LMS filter. + @param[in] S points to an instance of the Q15 normalized LMS filter structure + @param[in] pSrc points to the block of input data + @param[in] pRef points to the block of reference data + @param[out] pOut points to the block of output data + @param[out] pErr points to the block of error data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both coefficients and state variables are represented in 1.15 format and + multiplications yield a 2.30 result. The 2.30 intermediate results are + accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full + precision of intermediate multiplications is preserved. After all additions + have been performed, the accumulator is truncated to 34.15 format by + discarding low 15 bits. Lastly, the accumulator is saturated to yield a + result in 1.15 format. + @par + In this filter, filter coefficients are updated for each sample and the + updation of filter cofficients are saturted. + */ + +void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q15_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q31_t energy; /* Energy of the input */ + q15_t e = 0, d = 0; /* Error, reference data sample */ + q15_t w = 0, in; /* Weight factor and state */ + q15_t x0; /* Temporary variable to hold input sample */ + q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ + q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ + q31_t coef; /* Temporary variable for coefficient */ + q31_t acc_l, acc_h; /* Temporary input */ + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + int32_t uShift = (32 - lShift); + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= (((q31_t) x0 * (x0)) >> 15); + energy += (((q31_t) in * (in)) >> 15); + + /* Set the accumulator to zero */ + acc = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc); + acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16U); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + d = *pRef++; + e = d - (q15_t) acc; + *pErr++ = e; + + /* Calculation of 1/energy */ + postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, &oneByEnergy, S->recipTable); + + /* Calculation of e * mu value */ + errorXmu = (q15_t) (((q31_t) e * mu) >> 15); + + /* Calculation of (e * mu) * (1/energy) value */ + acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift)); + + /* Weighting factor for the normalized version */ + w = (q15_t) __SSAT((q31_t) acc, 16); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT(coef, 16); + + coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT(coef, 16); + + coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT(coef, 16); + + coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT(coef, 16); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT(coef, 16); + + /* Decrement loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q15_t) energy; + S->x0 = x0; + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q31.c new file mode 100644 index 0000000..e26219e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_norm_q31.c @@ -0,0 +1,311 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_q31.c + * Description: Processing function for the Q31 NLMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS_NORM + @{ + */ + +/** + @brief Processing function for Q31 normalized LMS filter. + @param[in] S points to an instance of the Q31 normalized LMS filter structure + @param[in] pSrc points to the block of input data + @param[in] pRef points to the block of reference data + @param[out] pOut points to the block of output data + @param[out] pErr points to the block of error data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate + multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by + log2(numTaps) bits. The reference signal should not be scaled down. + After all multiply-accumulates are performed, the 2.62 accumulator is shifted + and saturated to 1.31 format to yield the final result. + The output signal and error signal are in 1.31 format. + @par + In this filter, filter coefficients are updated for each sample and the + updation of filter cofficients are saturted. + */ + +void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q31_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q63_t energy; /* Energy of the input */ + q31_t e = 0; /* Error data sample */ + q31_t w = 0, in; /* Weight factor and state */ + q31_t x0; /* Temporary variable to hold input sample */ + q31_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ + q31_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ + q31_t coef; /* Temporary variable for coef */ + q31_t acc_l, acc_h; /* Temporary input */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy = (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32); + energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32); + + /* Set the accumulator to zero */ + acc = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* acc += b[N] * x[n-N] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-1] * x[n-N-1] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-2] * x[n-N-2] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-3] * x[n-N-3] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q31_t) acc; + *pErr++ = e; + + /* Calculates the reciprocal of energy */ + postShift = arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]); + + /* Calculation of product of (e * mu) */ + errorXmu = (q31_t) (((q63_t) e * mu) >> 31); + + /* Weighting factor for the normalized version */ + w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift)); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + + /* coef is in 2.30 format */ + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + /* get coef in 1.31 format by left shifting */ + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + /* update coefficient buffer to next coefficient */ + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Read the sample from state buffer */ + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q31_t) energy; + S->x0 = x0; + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of LMS_NORM group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q15.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q15.c new file mode 100644 index 0000000..0fc9878 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q15.c @@ -0,0 +1,262 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_q15.c + * Description: Processing function for Q15 LMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Processing function for Q15 LMS filter. + @param[in] S points to an instance of the Q15 LMS filter structure + @param[in] pSrc points to the block of input data + @param[in] pRef points to the block of reference data + @param[out] pOut points to the block of output data + @param[out] pErr points to the block of error data + @param[in] blockSize number of samples to process + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + @par + In this filter, filter coefficients are updated for each sample and + the updation of filter cofficients are saturted. + */ + +void arm_lms_q15( + const arm_lms_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q15_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q15_t e = 0; /* Error of data sample */ + q15_t alpha; /* Intermediate constant for taps update */ + q31_t coef; /* Temporary variable for coefficient */ + q31_t acc_l, acc_h; /* Temporary input */ + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + int32_t uShift = (32 - lShift); + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc); + acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16U); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q15_t) acc; + *pErr++ = (q15_t) e; + + /* Compute alpha i.e. intermediate constant for taps update */ + alpha = (q15_t) (((q31_t) e * (mu)) >> 15); + + /* Initialize pState pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState)); + write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState)); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q31.c b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q31.c new file mode 100644 index 0000000..2fb8808 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/FilteringFunctions/arm_lms_q31.c @@ -0,0 +1,283 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_q31.c + * Description: Processing function for the Q31 LMS filter + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupFilters + */ + +/** + @addtogroup LMS + @{ + */ + +/** + @brief Processing function for Q31 LMS filter. + @param[in] S points to an instance of the Q31 LMS filter structure. + @param[in] pSrc points to the block of input data. + @param[in] pRef points to the block of reference data. + @param[out] pOut points to the block of output data. + @param[out] pErr points to the block of error data. + @param[in] blockSize number of samples to process. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate + multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clips. + In order to avoid overflows completely the input signal must be scaled down by + log2(numTaps) bits. + The reference signal should not be scaled down. + After all multiply-accumulates are performed, the 2.62 accumulator is shifted + and saturated to 1.31 format to yield the final result. + The output signal and error signal are in 1.31 format. + @par + In this filter, filter coefficients are updated for each sample and + the updation of filter cofficients are saturted. + */ + +void arm_lms_q31( + const arm_lms_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q31_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q31_t e = 0; /* Error of data sample */ + q31_t alpha; /* Intermediate constant for taps update */ + q31_t coef; /* Temporary variable for coef */ + q31_t acc_l, acc_h; /* Temporary input */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* initialise loop count */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* acc += b[N] * x[n-N] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-1] * x[n-N-1] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-2] * x[n-N-2] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-3] * x[n-N-3] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q31_t) acc; + *pErr++ = e; + + /* Compute alpha i.e. intermediate constant for taps update */ + alpha = (q31_t) (((q63_t) e * mu) >> 31); + + /* Initialize pState pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + + /* coef is in 2.30 format */ + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + /* get coef in 1.31 format by left shifting */ + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + /* update coefficient buffer to next coefficient */ + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = numTaps % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = numTaps; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Processing is complete. + Now copy the last numTaps - 1 samples to the start of the state buffer. + This prepares the state buffer for the next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy data */ +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 taps at a time. */ + tapCnt = (numTaps - 1U) >> 2U; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + + /* Loop unrolling: Compute remaining taps */ + tapCnt = (numTaps - 1U) % 0x4U; + +#else + + /* Initialize tapCnt with number of samples */ + tapCnt = (numTaps - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement loop counter */ + tapCnt--; + } + +} + +/** + @} end of LMS group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/MatrixFunctions/CMakeLists.txt new file mode 100644 index 0000000..e8838b2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPMatrix) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPMatrix STATIC ${SRC}) + +configLib(CMSISDSPMatrix ${ROOT}) +configDsp(CMSISDSPMatrix ${ROOT}) + +### Includes +target_include_directories(CMSISDSPMatrix PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/MatrixFunctions.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/MatrixFunctions.c new file mode 100644 index 0000000..da721fe --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/MatrixFunctions.c @@ -0,0 +1,53 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: MatrixFunctions.c + * Description: Combination of all matrix function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_mat_add_f32.c" +#include "arm_mat_add_q15.c" +#include "arm_mat_add_q31.c" +#include "arm_mat_cmplx_mult_f32.c" +#include "arm_mat_cmplx_mult_q15.c" +#include "arm_mat_cmplx_mult_q31.c" +#include "arm_mat_init_f32.c" +#include "arm_mat_init_q15.c" +#include "arm_mat_init_q31.c" +#include "arm_mat_inverse_f32.c" +#include "arm_mat_inverse_f64.c" +#include "arm_mat_mult_f32.c" +#include "arm_mat_mult_fast_q15.c" +#include "arm_mat_mult_fast_q31.c" +#include "arm_mat_mult_q15.c" +#include "arm_mat_mult_q31.c" +#include "arm_mat_scale_f32.c" +#include "arm_mat_scale_q15.c" +#include "arm_mat_scale_q31.c" +#include "arm_mat_sub_f32.c" +#include "arm_mat_sub_q15.c" +#include "arm_mat_sub_q31.c" +#include "arm_mat_trans_f32.c" +#include "arm_mat_trans_q15.c" +#include "arm_mat_trans_q31.c" diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_f32.c new file mode 100644 index 0000000..071e1d7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_f32.c @@ -0,0 +1,304 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_f32.c + * Description: Floating-point matrix addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixAdd Matrix Addition + + Adds two matrices. + \image html MatrixAddition.gif "Addition of two 3 x 3 matrices" + + The functions check to make sure that + pSrcA, pSrcB, and pDst have the same + number of rows and columns. + */ + +/** + @addtogroup MatrixAdd + @{ + */ + + +/** + @brief Floating-point matrix addition. + @param[in] pSrcA points to first input matrix structure + @param[in] pSrcB points to second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; + uint32_t numSamples; /* total number of elements in the matrix */ + float32_t *pDataA, *pDataB, *pDataDst; + f32x4_t vecA, vecB, vecDst; + float32_t const *pSrcAVec; + float32_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (float32_t const *) pDataA; + pSrcBVec = (float32_t const *) pDataB; + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vaddq(vecA, vecB); + vst1q(pDataDst, vecDst); + pDataDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcAVec); + vecB = vld1q(pSrcBVec); + vecDst = vaddq_m(vecDst, vecA, vecB, p0); + vstrwq_p(pDataDst, vecDst, p0); + } + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + return (status); +} +#else +#if defined(ARM_MATH_NEON) +/* + +Neon version is assuming the matrix is small enough. +So no blocking is used for taking into account cache effects. +For big matrix, there exist better libraries for Neon. + +*/ +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + float32x4_t vec1; + float32x4_t vec2; + float32x4_t res; + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + + blkCnt = numSamples >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + vec1 = vld1q_f32(pIn1); + vec2 = vld1q_f32(pIn2); + res = vaddq_f32(vec1, vec2); + vst1q_f32(pOut, res); + + /* update pointers to process next samples */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + *pOut++ = (*pIn1++) + (*pIn2++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add and store result in destination buffer. */ + *pOut++ = *pInA++ + *pInB++; + + *pOut++ = *pInA++ + *pInB++; + + *pOut++ = *pInA++ + *pInB++; + + *pOut++ = *pInA++ + *pInB++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add and store result in destination buffer. */ + *pOut++ = *pInA++ + *pInB++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q15.c new file mode 100644 index 0000000..03e87d8 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q15.c @@ -0,0 +1,227 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_q15.c + * Description: Q15 matrix addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixAdd + @{ + */ + +/** + @brief Q15 matrix addition. + @param[in] pSrcA points to first input matrix structure + @param[in] pSrcB points to second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + uint32_t numSamples; /* total number of elements in the matrix */ + q15_t *pDataA, *pDataB, *pDataDst; + q15x8_t vecA, vecB, vecDst; + q15_t const *pSrcAVec; + q15_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (q15_t const *) pDataA; + pSrcBVec = (q15_t const *) pDataB; + + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 3; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); pSrcAVec += 8; + vecB = vld1q(pSrcBVec); pSrcBVec += 8; + vecDst = vqaddq(vecA, vecB); + vst1q(pDataDst, vecDst); pDataDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numSamples & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcAVec); pSrcAVec += 8; + vecB = vld1q(pSrcBVec); pSrcBVec += 8; + vecDst = vqaddq_m(vecDst, vecA, vecB, p0); + vstrhq_p(pDataDst, vecDst, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add, saturate and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB))); + + write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB))); +#else + *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16); + + *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16); + + *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16); + + *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add, saturate and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++); +#else + *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q31.c new file mode 100644 index 0000000..29eddbb --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_add_q31.c @@ -0,0 +1,216 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_q31.c + * Description: Q31 matrix addition + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixAdd + @{ + */ + +/** + @brief Q31 matrix addition. + @param[in] pSrcA points to first input matrix structure + @param[in] pSrcB points to second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + arm_status status; /* status of matrix addition */ + uint32_t numSamples; /* total number of elements in the matrix */ + q31_t *pDataA, *pDataB, *pDataDst; + q31x4_t vecA, vecB, vecDst; + q31_t const *pSrcAVec; + q31_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (q31_t const *) pDataA; + pSrcBVec = (q31_t const *) pDataB; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vqaddq(vecA, vecB); + vst1q(pDataDst, vecDst); + pDataDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vqaddq_m(vecDst, vecA, vecB, p0); + vstrwq_p(pDataDst, vecDst, p0); + } + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add, saturate and store result in destination buffer. */ + *pOut++ = __QADD(*pInA++, *pInB++); + + *pOut++ = __QADD(*pInA++, *pInB++); + + *pOut++ = __QADD(*pInA++, *pInB++); + + *pOut++ = __QADD(*pInA++, *pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + + /* Add, saturate and store result in destination buffer. */ + *pOut++ = __QADD(*pInA++, *pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixAdd group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c new file mode 100644 index 0000000..b4bb20b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c @@ -0,0 +1,1409 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_cmplx_mult_f32.c + * Description: Floating-point matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup CmplxMatrixMult Complex Matrix Multiplication + + Complex Matrix multiplication is only defined if the number of columns of the + first matrix equals the number of rows of the second matrix. + Multiplying an M x N matrix with an N x P matrix results + in an M x P matrix. + @par + When matrix size checking is enabled, the functions check: + - that the inner dimensions of pSrcA and pSrcB are equal; + - that the size of the output matrix equals the outer dimensions of pSrcA and pSrcB. + */ + + +/** + @addtogroup CmplxMatrixMult + @{ + */ + +/** + @brief Floating-point Complex matrix multiplication. + @param[in] pSrcA points to first input complex matrix structure + @param[in] pSrcB points to second input complex matrix structure + @param[out] pDst points to output complex matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +#define MATRIX_DIM2 2 +#define MATRIX_DIM3 3 +#define MATRIX_DIM4 4 + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_2x2_mve( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0; + float32_t *pInA0 = pInA; + float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2; + f32x4_t acc0, acc1; + f32x4_t vecB, vecA; + + static const uint32_t offsetB0[4] = { 0, 1, + MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1 + }; + + vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0); + + pInB = (float32_t const *)pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = acc1[1] + acc1[3]; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_3x3_mve( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0, vecColBOffs1; + float32_t *pInA0 = pInA; + float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3; + float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3; + f32x4_t acc0, acc1, acc2; + f32x4_t vecB, vecA; + /* enable predication to disable upper half complex vector element */ + mve_pred16_t p0 = vctp32q(CMPLX_DIM); + + static const uint32_t offsetB0[4] = { 0, 1, + MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1 + }; + static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1, + INACTIVELANE, INACTIVELANE + }; + + vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0); + vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1); + + pInB = (float32_t const *)pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecColBOffs1, p0); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = acc2[1] + acc2[3]; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_f32_4x4_mve( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0, vecColBOffs1; + float32_t *pInA0 = pInA; + float32_t *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4; + float32_t *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4; + float32_t *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4; + f32x4_t acc0, acc1, acc2, acc3; + f32x4_t vecB, vecA; + + static const uint32_t offsetB0[4] = { 0, 1, + MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1 + }; + static const uint32_t offsetB1[4] = { 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1, + 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1 + }; + + vecColBOffs0 = vldrwq_u32((uint32_t const *) offsetB0); + vecColBOffs1 = vldrwq_u32((uint32_t const *) offsetB1); + + pInB = (float32_t const *)pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(pInA3); + acc3 = vcmulq(vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(&pInA3[4]); + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(pInA3); + acc3 = vcmulq(vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(&pInA3[4]); + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(pInA3); + acc3 = vcmulq(vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(&pInA3[4]); + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3]; + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + + vecA = vldrwq_f32(pInA0); + acc0 = vcmulq(vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(pInA1); + acc1 = vcmulq(vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(pInA2); + acc2 = vcmulq(vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(pInA3); + acc3 = vcmulq(vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_f32(&pInA0[4]); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + vecA = vldrwq_f32(&pInA1[4]); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + + vecA = vldrwq_f32(&pInA2[4]); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + + vecA = vldrwq_f32(&pInA3[4]); + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc0[0] + acc0[2]; + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc0[1] + acc0[3]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc1[0] + acc1[2]; + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc1[1] + acc1[3]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc2[0] + acc2[2]; + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc2[1] + acc2[3]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = acc3[0] + acc3[2]; + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = acc3[1] + acc3[3]; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t const *pInB = (float32_t const *) pSrcB->pData; /* input data matrix pointer B */ + float32_t const *pInA = (float32_t const *) pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + uint32x4_t vecOffs, vecColBOffs; + uint32_t blkCnt, rowCnt; /* loop counters */ + + #ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* + * small squared matrix specialized routines + */ + if (numRowsA == numColsB && numColsB == numColsA) + { + if (numRowsA == 1) + { + pOut[0] = pInA[0] * pInB[0] - pInA[1] * pInB[1]; + pOut[1] = pInA[0] * pInB[1] + pInA[1] * pInB[0]; + return (ARM_MATH_SUCCESS); + } + else if (numRowsA == 2) + return arm_mat_cmplx_mult_f32_2x2_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 3) + return arm_mat_cmplx_mult_f32_3x3_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 4) + return arm_mat_cmplx_mult_f32_4x4_mve(pSrcA, pSrcB, pDst); + } + + vecColBOffs[0] = 0; + vecColBOffs[1] = 1; + vecColBOffs[2] = numColsB * CMPLX_DIM; + vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1; + + /* + * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB + */ + + /* + * row loop + */ + rowCnt = row >> 2; + while (rowCnt > 0u) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i * CMPLX_DIM; + i = i + 4 * numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (float32_t const *) pSrcB->pData; + /* + * column loop + */ + while (col > 0u) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec; + float32_t const *pInA0 = pInA; + float32_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM; + float32_t const *pInA2 = pInA1 + numColsA * CMPLX_DIM; + float32_t const *pInA3 = pInA2 + numColsA * CMPLX_DIM; + f32x4_t acc0, acc1, acc2, acc3; + + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + acc2 = vdupq_n_f32(0.0f); + acc3 = vdupq_n_f32(0.0f); + + pSrcA0Vec = (float32_t const *) pInA0; + pSrcA1Vec = (float32_t const *) pInA1; + pSrcA2Vec = (float32_t const *) pInA2; + pSrcA3Vec = (float32_t const *) pInA3; + + vecOffs = vecColBOffs; + + /* + * process 1 x 4 block output + */ + blkCnt = (numColsA * CMPLX_DIM) >> 2; + while (blkCnt > 0U) + { + f32x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4; + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4; + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4; + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4; + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + blkCnt--; + } + + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (numColsA * CMPLX_DIM) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + vecA = vld1q(pSrcA0Vec); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + vecA = vld1q(pSrcA1Vec); + acc1 = vcmlaq(acc1, vecA, vecB); + acc1 = vcmlaq_rot90(acc1, vecA, vecB); + vecA = vld1q(pSrcA2Vec); + acc2 = vcmlaq(acc2, vecA, vecB); + acc2 = vcmlaq_rot90(acc2, vecA, vecB); + vecA = vld1q(pSrcA3Vec); + acc3 = vcmlaq(acc3, vecA, vecB); + acc3 = vcmlaq_rot90(acc3, vecA, vecB); + + } + + px[0 * CMPLX_DIM * numColsB + 0] = acc0[0] + acc0[2]; + px[0 * CMPLX_DIM * numColsB + 1] = acc0[1] + acc0[3]; + px[1 * CMPLX_DIM * numColsB + 0] = acc1[0] + acc1[2]; + px[1 * CMPLX_DIM * numColsB + 1] = acc1[1] + acc1[3]; + px[2 * CMPLX_DIM * numColsB + 0] = acc2[0] + acc2[2]; + px[2 * CMPLX_DIM * numColsB + 1] = acc2[1] + acc2[3]; + px[3 * CMPLX_DIM * numColsB + 0] = acc3[0] + acc3[2]; + px[3 * CMPLX_DIM * numColsB + 1] = acc3[1] + acc3[3]; + px += CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM; + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += (numColsA * 4) * CMPLX_DIM; + /* + * Decrement the row loop counter + */ + rowCnt --; + + } + + rowCnt = row & 3; + while (rowCnt > 0u) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i * CMPLX_DIM; + i = i + numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (float32_t const *) pSrcB->pData; + /* + * column loop + */ + while (col > 0u) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + float32_t const *pSrcA0Vec; + float32_t const *pInA0 = pInA; + f32x4_t acc0; + + acc0 = vdupq_n_f32(0.0f); + + pSrcA0Vec = (float32_t const *) pInA0; + + vecOffs = vecColBOffs; + + /* + * process 1 x 4 block output + */ + blkCnt = (numColsA * CMPLX_DIM) >> 2; + while (blkCnt > 0U) + { + f32x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + + blkCnt--; + } + + + /* + * tail + */ + blkCnt = (numColsA * CMPLX_DIM) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + + vecA = vld1q(pSrcA0Vec); + acc0 = vcmlaq(acc0, vecA, vecB); + acc0 = vcmlaq_rot90(acc0, vecA, vecB); + + } + + px[0] = acc0[0] + acc0[2]; + px[1] = acc0[1] + acc0[3]; + + px += CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (float32_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM; + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += numColsA * CMPLX_DIM; + rowCnt--; + } + + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} + +#else +#if defined(ARM_MATH_NEON) +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + float32_t sumReal1, sumImag1; /* accumulator */ + float32_t a1, a1B,b1, b1B, c1, d1; + float32_t sumReal2, sumImag2; /* accumulator */ + + + float32x4x2_t a0V, a1V; + float32x4_t accR0,accI0, accR1,accI1,tempR, tempI; + float32x2_t accum = vdup_n_f32(0); + float32_t *pIn1B = pSrcA->pData; + + uint16_t col, i = 0U, j, rowCnt, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + float32_t sumReal1B, sumImag1B; + float32_t sumReal2B, sumImag2B; + float32_t *pxB; + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + + rowCnt = row >> 1; + + /* Row loop */ + while (rowCnt > 0U) + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + pxB = px + 2 * numColsB; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* Column loop */ + while (col > 0U) + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal1 = 0.0f; + sumImag1 = 0.0f; + sumReal1B = 0.0f; + sumImag1B = 0.0f; + + sumReal2 = 0.0f; + sumImag2 = 0.0f; + sumReal2B = 0.0f; + sumImag2B = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + pIn1B = pIn1 + 2*numColsA; + + accR0 = vdupq_n_f32(0.0); + accI0 = vdupq_n_f32(0.0); + accR1 = vdupq_n_f32(0.0); + accI1 = vdupq_n_f32(0.0); + + /* Compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + /* Matrix multiplication */ + while (colCnt > 0U) + { + /* Reading real part of complex matrix A */ + a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2) + a1V = vld2q_f32(pIn1B); // load & separate real/imag pSrcA (de-interleave 2) + + pIn1 += 8; + pIn1B += 8; + + tempR = vsetq_lane_f32(*pIn2,tempR,0); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0); + pIn2 += 2 * numColsB; + + + tempR = vsetq_lane_f32(*pIn2,tempR,1); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1); + pIn2 += 2 * numColsB; + + tempR = vsetq_lane_f32(*pIn2,tempR,2); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2); + pIn2 += 2 * numColsB; + + tempR = vsetq_lane_f32(*pIn2,tempR,3); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3); + pIn2 += 2 * numColsB; + + accR0 = vmlaq_f32(accR0,a0V.val[0],tempR); + accR0 = vmlsq_f32(accR0,a0V.val[1],tempI); + + accI0 = vmlaq_f32(accI0,a0V.val[1],tempR); + accI0 = vmlaq_f32(accI0,a0V.val[0],tempI); + + accR1 = vmlaq_f32(accR1,a1V.val[0],tempR); + accR1 = vmlsq_f32(accR1,a1V.val[1],tempI); + + accI1 = vmlaq_f32(accI1,a1V.val[1],tempR); + accI1 = vmlaq_f32(accI1,a1V.val[0],tempI); + + /* Decrement the loop count */ + colCnt--; + } + + accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0)); + sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0)); + sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(accR1), vget_high_f32(accR1)); + sumReal1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(accI1), vget_high_f32(accI1)); + sumImag1B += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA & 3; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + a1 = *pIn1; + a1B = *pIn1B; + + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + b1B = *(pIn1B + 1U); + + d1 = *(pIn2 + 1U); + + sumReal1 += a1 * c1; + sumImag1 += b1 * c1; + + sumReal1B += a1B * c1; + sumImag1B += b1B * c1; + + pIn1 += 2U; + pIn1B += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b1 * d1; + sumImag2 += a1 * d1; + + sumReal2B -= b1B * d1; + sumImag2B += a1B * d1; + + /* Decrement the loop counter */ + colCnt--; + } + + sumReal1 += sumReal2; + sumImag1 += sumImag2; + + sumReal1B += sumReal2B; + sumImag1B += sumImag2B; + + /* Store the result in the destination buffer */ + *px++ = sumReal1; + *px++ = sumImag1; + *pxB++ = sumReal1B; + *pxB++ = sumImag1B; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement the column loop counter */ + col--; + } + + /* Update the pointer pInA to point to the starting address of the next 2 row */ + i = i + 2*numColsB; + pInA = pInA + 4 * numColsA; + + /* Decrement the row loop counter */ + rowCnt--; + } + + rowCnt = row & 1; + while (rowCnt > 0U) + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* Column loop */ + while (col > 0U) + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal1 = 0.0f; + sumImag1 = 0.0f; + + sumReal2 = 0.0f; + sumImag2 = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + + accR0 = vdupq_n_f32(0.0); + accI0 = vdupq_n_f32(0.0); + + /* Compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + /* Matrix multiplication */ + while (colCnt > 0U) + { + /* Reading real part of complex matrix A */ + a0V = vld2q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2) + pIn1 += 8; + + tempR = vsetq_lane_f32(*pIn2,tempR,0); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,0); + pIn2 += 2 * numColsB; + + tempR = vsetq_lane_f32(*pIn2,tempR,1); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,1); + pIn2 += 2 * numColsB; + + tempR = vsetq_lane_f32(*pIn2,tempR,2); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,2); + pIn2 += 2 * numColsB; + + tempR = vsetq_lane_f32(*pIn2,tempR,3); + tempI = vsetq_lane_f32(*(pIn2 + 1U),tempI,3); + pIn2 += 2 * numColsB; + + accR0 = vmlaq_f32(accR0,a0V.val[0],tempR); + accR0 = vmlsq_f32(accR0,a0V.val[1],tempI); + + accI0 = vmlaq_f32(accI0,a0V.val[1],tempR); + accI0 = vmlaq_f32(accI0,a0V.val[0],tempI); + + /* Decrement the loop count */ + colCnt--; + } + + accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0)); + sumReal1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0)); + sumImag1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA & 3; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + sumReal1 += a1 * c1; + sumImag1 += b1 * c1; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b1 * d1; + sumImag2 += a1 * d1; + + /* Decrement the loop counter */ + colCnt--; + } + + sumReal1 += sumReal2; + sumImag1 += sumImag2; + + /* Store the result in the destination buffer */ + *px++ = sumReal1; + *px++ = sumImag1; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement the column loop counter */ + col--; + + } + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + 2 * numColsA; + + /* Decrement the row loop counter */ + rowCnt--; + + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* Output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + float32_t sumReal, sumImag; /* Accumulator */ + float32_t a1, b1, c1, d1; + uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#if defined (ARM_MATH_LOOPUNROLL) + float32_t a0, b0, c0, d0; +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal = 0.0f; + sumImag = 0.0f; + + /* Initiate pointer pIn1 to point to starting address of column being processed */ + pIn1 = pInA; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + + /* Reading real part of complex matrix A */ + a0 = *pIn1; + + /* Reading real part of complex matrix B */ + c0 = *pIn2; + + /* Reading imaginary part of complex matrix A */ + b0 = *(pIn1 + 1U); + + /* Reading imaginary part of complex matrix B */ + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += a0 * c0; + sumImag += b0 * c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= b0 * d0; + sumImag += a0 * d0; + + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* read real and imag values from pSrcA and pSrcB buffer */ + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += a1 * c1; + sumImag += b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= b1 * d1; + sumImag += a1 * d1; + + a0 = *(pIn1 ); + c0 = *(pIn2 ); + b0 = *(pIn1 + 1U); + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += a0 * c0; + sumImag += b0 * c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= b0 * d0; + sumImag += a0 * d0; + + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += a1 * c1; + sumImag += b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= b1 * d1; + sumImag += a1 * d1; + + /* Decrement loop count */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += a1 * c1; + sumImag += b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= b1 * d1; + sumImag += a1 * d1; + + /* Decrement loop counter */ + colCnt--; + } + + /* Store result in destination buffer */ + *px++ = sumReal; + *px++ = sumImag; + + /* Update pointer pIn2 to point to starting address of next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement column loop counter */ + col--; + + } while (col > 0U); + + /* Update pointer pInA to point to starting address of next row */ + i = i + numColsB; + pInA = pInA + 2 * numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c new file mode 100644 index 0000000..104d4c3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c @@ -0,0 +1,595 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mat_mult_q15.c + * Description: Q15 complex matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup CmplxMatrixMult + @{ + */ + +/** + @brief Q15 Complex matrix multiplication. + @param[in] pSrcA points to first input complex matrix structure + @param[in] pSrcB points to second input complex matrix structure + @param[out] pDst points to output complex matrix structure + @param[in] pScratch points to an array for storing intermediate results + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Conditions for optimum performance + Input, output and state buffers should be aligned by 32-bit + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. The inputs to the + multiplications are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then + truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + */ +#if defined(ARM_MATH_MVEI) + +#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff) + +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch) +{ + q15_t const *pInA = (q15_t const *) pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t const *pInB = (q15_t const *) pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t const *pInB2; + q15_t *px; /* Temporary output data matrix pointer */ + uint32_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint32_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint32_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint32_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ + uint32_t col, i = 0u, j, row = numRowsB; /* loop counters */ + uint32_t blkCnt; /* loop counters */ + uint16x8_t vecOffs, vecColBOffs; + arm_status status; /* Status of matrix multiplication */ + (void)pScratch; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + vecColBOffs[0] = 0; + vecColBOffs[1] = 1; + vecColBOffs[2] = numColsB * CMPLX_DIM; + vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1; + vecColBOffs[4] = 2 * numColsB * CMPLX_DIM; + vecColBOffs[5] = 2 * (numColsB * CMPLX_DIM) + 1; + vecColBOffs[6] = 3 * numColsB * CMPLX_DIM; + vecColBOffs[7] = 3 * (numColsB * CMPLX_DIM) + 1; + + /* + * Reset the variables for the usage in the following multiplication process + */ + i = 0; + row = numRowsA; + px = pDst->pData; + + /* + * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB + */ + + /* + * row loop + */ + while (row > 0u) + { + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB >> 1; + j = 0; + /* + * column loop + */ + while (col > 0u) + { + q15_t const *pSrcAVec; + //, *pSrcBVec, *pSrcB2Vec; + q15x8_t vecA, vecB, vecB2; + q63_t acc0, acc1, acc2, acc3; + + /* + * Initiate the pointer pIn1 to point to the starting address of the column being processed + */ + pInA = pSrcA->pData + i; + pInB = pSrcB->pData + j; + pInB2 = pInB + CMPLX_DIM; + + j += 2 * CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + + /* + * Initiate the pointers + * - current Matrix A rows + * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB) + */ + pSrcAVec = (q15_t const *) pInA; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + vecOffs = vecColBOffs; + + + blkCnt = (numColsA * CMPLX_DIM) >> 3; + while (blkCnt > 0U) + { + vecA = vld1q(pSrcAVec); + pSrcAVec += 8; + vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); + + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs); + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); + + acc2 = vmlsldavaq(acc2, vecA, vecB2); + acc3 = vmlaldavaxq(acc3, vecA, vecB2); + + blkCnt--; + } + + /* + * tail + */ + blkCnt = (numColsA * CMPLX_DIM) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); + + vecA = vldrhq_z_s16(pSrcAVec, p0); + + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + vecB2 = vldrhq_gather_shifted_offset(pInB2, vecOffs); + + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); + + acc2 = vmlsldavaq(acc2, vecA, vecB2); + acc3 = vmlaldavaxq(acc3, vecA, vecB2); + + } + /* + * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer + */ + *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15); + *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15); + *px++ = (q15_t)MVE_ASRL_SAT16(acc2, 15); + *px++ = (q15_t)MVE_ASRL_SAT16(acc3, 15); + } + + col = numColsB & 1; + /* + * column loop + */ + while (col > 0u) + { + + q15_t const *pSrcAVec; + //, *pSrcBVec, *pSrcB2Vec; + q15x8_t vecA, vecB; + q63_t acc0, acc1; + + /* + * Initiate the pointer pIn1 to point to the starting address of the column being processed + */ + pInA = pSrcA->pData + i; + pInB = pSrcB->pData + j; + + j += CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + + /* + * Initiate the pointers + * - current Matrix A rows + * - 2 x consecutive Matrix B' rows (j increment is 2 x numRowsB) + */ + pSrcAVec = (q15_t const *) pInA; + + acc0 = 0LL; + acc1 = 0LL; + + + vecOffs = vecColBOffs; + + + + blkCnt = (numColsA * CMPLX_DIM) >> 3; + while (blkCnt > 0U) + { + vecA = vld1q(pSrcAVec); + pSrcAVec += 8; + vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); + + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + /* + * move Matrix B read offsets, 4 rows down + */ + vecOffs = vaddq(vecOffs, (uint16_t) (numColsB * 4 * CMPLX_DIM)); + + blkCnt--; + } + + /* + * tail + */ + blkCnt = (numColsA * CMPLX_DIM) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecB = vldrhq_gather_shifted_offset(pInB, vecOffs); + vecA = vldrhq_z_s16(pSrcAVec, p0); + + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + + } + /* + * Convert to 1.15, Store the results (1 x 2 block) in the destination buffer + */ + *px++ = (q15_t)MVE_ASRL_SAT16(acc0, 15); + *px++ = (q15_t)MVE_ASRL_SAT16(acc1, 15); + + } + + i = i + numColsA * CMPLX_DIM; + + /* + * Decrement the row loop counter + */ + row--; + } + + + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch) +{ + q15_t *pSrcBT = pScratch; /* input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ + q63_t sumReal, sumImag; /* accumulator */ + uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + +#if defined (ARM_MATH_DSP) + q31_t prod1, prod2; + q31_t pSourceA, pSourceB; +#else + q15_t a, b, c, d; +#endif /* #if defined (ARM_MATH_DSP) */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose */ + do + { + /* The pointer px is set to starting address of column being processed */ + px = pSrcBT + i; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and exchange the columns with row elements */ + col = numColsB >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { + /* Read two elements from row */ + write_q15x2 (px, read_q15x2_ia (&pInB)); + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from row */ + write_q15x2 (px, read_q15x2_ia (&pInB)); + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from row */ + write_q15x2 (px, read_q15x2_ia (&pInB)); + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from row */ + write_q15x2 (px, read_q15x2_ia (&pInB)); + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB * 2; + + /* Decrement column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + col = numColsB; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (col > 0U) + { + /* Read two elements from row */ + write_q15x2 (px, read_q15x2_ia (&pInB)); + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB * 2; + + /* Decrement column loop counter */ + col--; + } + + i = i + 2U; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Reset variables for usage in following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */ + pInB = pSrcBT; + + /* column loop */ + do + { + /* Set variable sum, that acts as accumulator, to zero */ + sumReal = 0; + sumImag = 0; + + /* Initiate pointer pInA to point to starting address of column being processed */ + pInA = pSrcA->pData + i * 2; + + /* Apply loop unrolling and compute 2 MACs simultaneously. */ + colCnt = numColsA >> 1U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + +#if defined (ARM_MATH_DSP) + + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = read_q15x2_ia ((q15_t **) &pInA); + pSourceB = read_q15x2_ia ((q15_t **) &pInB); + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = read_q15x2_ia ((q15_t **) &pInA); + pSourceB = read_q15x2_ia ((q15_t **) &pInB); + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#else /* #if defined (ARM_MATH_DSP) */ + + /* read real and imag values from pSrcA buffer */ + a = *pInA; + b = *(pInA + 1U); + /* read real and imag values from pSrcB buffer */ + c = *pInB; + d = *(pInB + 1U); + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + + /* read next real and imag values from pSrcA buffer */ + a = *(pInA + 2U); + b = *(pInA + 3U); + /* read next real and imag values from pSrcB buffer */ + c = *(pInB + 2U); + d = *(pInB + 3U); + + /* update pointer */ + pInA += 4U; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a * c; + sumImag += (q31_t) a * d; + sumReal -= (q31_t) b * d; + sumImag += (q31_t) b * c; + /* update pointer */ + pInB += 4U; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + colCnt--; + } + + /* process odd column samples */ + if ((numColsA & 0x1U) > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + +#if defined (ARM_MATH_DSP) + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = read_q15x2_ia ((q15_t **) &pInA); + pSourceB = read_q15x2_ia ((q15_t **) &pInB); + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#else /* #if defined (ARM_MATH_DSP) */ + + /* read real and imag values from pSrcA and pSrcB buffer */ + a = *pInA++; + b = *pInA++; + c = *pInB++; + d = *pInB++; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a * c; + sumImag += (q31_t) a * d; + sumReal -= (q31_t) b * d; + sumImag += (q31_t) b * c; + +#endif /* #if defined (ARM_MATH_DSP) */ + + } + + /* Saturate and store result in destination buffer */ + *px++ = (q15_t) (__SSAT(sumReal >> 15, 16)); + *px++ = (q15_t) (__SSAT(sumImag >> 15, 16)); + + /* Decrement column loop counter */ + col--; + + } while (col > 0U); + + i = i + numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c new file mode 100644 index 0000000..a7b13a8 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c @@ -0,0 +1,1063 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_cmplx_mult_q31.c + * Description: Floating-point matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup CmplxMatrixMult + @{ + */ + +/** + @brief Q31 Complex matrix multiplication. + @param[in] pSrcA points to first input complex matrix structure + @param[in] pSrcB points to second input complex matrix structure + @param[out] pDst points to output complex matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate + multiplication results but provides only a single guard bit. There is no saturation + on intermediate additions. Thus, if the accumulator overflows it wraps around and + distorts the result. The input signals should be scaled down to avoid intermediate + overflows. The input is thus scaled down by log2(numColsA) bits + to avoid overflows, as a total of numColsA additions are performed internally. + The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +#define MATRIX_DIM2 2 +#define MATRIX_DIM3 3 +#define MATRIX_DIM4 4 + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_2x2_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0; + q31_t const *pInA0 = pInA; + q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM2; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecB, vecA; + + static const uint32_t offsetB0[4] = { + 0, 1, + MATRIX_DIM2 * CMPLX_DIM, MATRIX_DIM2 * CMPLX_DIM + 1 + }; + + vecColBOffs0 = vldrwq_u32(offsetB0); + + pInB = (q31_t const *) pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31); + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + pOut += CMPLX_DIM; + + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM2 + 1] = (q31_t) asrl(acc3, 31); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_3x3_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0, vecColBOffs1; + q31_t const *pInA0 = pInA; + q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM3; + q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM3; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecB, vecB1, vecA; + /* + * enable predication to disable upper half complex vector element + */ + mve_pred16_t p0 = vctp32q(CMPLX_DIM); + + static const uint32_t offsetB0[4] = { + 0, 1, + MATRIX_DIM3 * CMPLX_DIM, MATRIX_DIM3 * CMPLX_DIM + 1 + }; + static const uint32_t offsetB1[4] = { + 2 * MATRIX_DIM3 * CMPLX_DIM, 2 * MATRIX_DIM3 * CMPLX_DIM + 1, + INACTIVELANE, INACTIVELANE + }; + + vecColBOffs0 = vldrwq_u32(offsetB0); + vecColBOffs1 = vldrwq_u32(offsetB1); + + pInB = (q31_t const *) pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA0[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_z_s32(&pInA1[4], p0); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA2[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA0[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_z_s32(&pInA1[4], p0); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA2[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA0[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_z_s32(&pInA1[4], p0); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_z_s32(&pInA2[4], p0); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM3 + 1] = (q31_t) asrl(acc1, 31); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_cmplx_mult_q31_4x4_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t const *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t const *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs0, vecColBOffs1; + q31_t const *pInA0 = pInA; + q31_t const *pInA1 = pInA0 + CMPLX_DIM * MATRIX_DIM4; + q31_t const *pInA2 = pInA1 + CMPLX_DIM * MATRIX_DIM4; + q31_t const *pInA3 = pInA2 + CMPLX_DIM * MATRIX_DIM4; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecB, vecB1, vecA; + + static const uint32_t offsetB0[4] = { + 0, 1, + MATRIX_DIM4 * CMPLX_DIM, MATRIX_DIM4 * CMPLX_DIM + 1 + }; + static const uint32_t offsetB1[4] = { + 2 * MATRIX_DIM4 * CMPLX_DIM, 2 * MATRIX_DIM4 * CMPLX_DIM + 1, + 3 * MATRIX_DIM4 * CMPLX_DIM, 3 * MATRIX_DIM4 * CMPLX_DIM + 1 + }; + + vecColBOffs0 = vldrwq_u32(offsetB0); + vecColBOffs1 = vldrwq_u32(offsetB1); + + pInB = (q31_t const *) pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA0[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA1[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA3); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA2[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA3[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA0[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA1[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA3); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA2[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA3[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + pOut += CMPLX_DIM; + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA0[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA1[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA3); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA2[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA3[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + pOut += CMPLX_DIM; + + /* + * move to next B column + */ + pInB = pInB + CMPLX_DIM; + + vecB = vldrwq_gather_shifted_offset(pInB, vecColBOffs0); + vecB1 = vldrwq_gather_shifted_offset(pInB, vecColBOffs1); + + vecA = vldrwq_s32(pInA0); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA1); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA0[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA1[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[0 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[1 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + + vecA = vldrwq_s32(pInA2); + acc0 = vmlsldavq_s32(vecA, vecB); + acc1 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(pInA3); + acc2 = vmlsldavq_s32(vecA, vecB); + acc3 = vmlaldavxq_s32(vecA, vecB); + + vecA = vldrwq_s32(&pInA2[4]); + acc0 = vmlsldavaq_s32(acc0, vecA, vecB1); + acc1 = vmlaldavaxq_s32(acc1, vecA, vecB1); + + vecA = vldrwq_s32(&pInA3[4]); + acc2 = vmlsldavaq_s32(acc2, vecA, vecB1); + acc3 = vmlaldavaxq_s32(acc3, vecA, vecB1); + + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc0, 31); + pOut[2 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc1, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 0] = (q31_t) asrl(acc2, 31); + pOut[3 * CMPLX_DIM * MATRIX_DIM4 + 1] = (q31_t) asrl(acc3, 31); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t const *pInB = (q31_t const *) pSrcB->pData; /* input data matrix pointer B */ + q31_t const *pInA = (q31_t const *) pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + uint32x4_t vecOffs, vecColBOffs; + uint32_t blkCnt, rowCnt; /* loop counters */ + + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* + * small squared matrix specialized routines + */ + if (numRowsA == numColsB && numColsB == numColsA) + { + if (numRowsA == 1) + { + q63_t sumReal = (q63_t) pInA[0] * pInB[0]; + sumReal -= (q63_t) pInA[1] * pInB[1]; + + q63_t sumImag = (q63_t) pInA[0] * pInB[1]; + sumImag += (q63_t) pInA[1] * pInB[0]; + + /* Store result in destination buffer */ + pOut[0] = (q31_t) clip_q63_to_q31(sumReal >> 31); + pOut[1] = (q31_t) clip_q63_to_q31(sumImag >> 31); + return (ARM_MATH_SUCCESS); + } + else if (numRowsA == 2) + return arm_mat_cmplx_mult_q31_2x2_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 3) + return arm_mat_cmplx_mult_q31_3x3_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 4) + return arm_mat_cmplx_mult_q31_4x4_mve(pSrcA, pSrcB, pDst); + } + + vecColBOffs[0] = 0; + vecColBOffs[1] = 1; + vecColBOffs[2] = numColsB * CMPLX_DIM; + vecColBOffs[3] = (numColsB * CMPLX_DIM) + 1; + + /* + * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB + */ + + /* + * row loop + */ + rowCnt = row >> 1; + while (rowCnt > 0u) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i * CMPLX_DIM; + i = i + 2 * numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (q31_t const *) pSrcB->pData; + /* + * column loop + */ + while (col > 0u) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q31_t const *pSrcA0Vec, *pSrcA1Vec; + q31_t const *pInA0 = pInA; + q31_t const *pInA1 = pInA0 + numColsA * CMPLX_DIM; + q63_t acc0, acc1, acc2, acc3; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + pSrcA0Vec = (q31_t const *) pInA0; + pSrcA1Vec = (q31_t const *) pInA1; + + + vecOffs = vecColBOffs; + + /* + * process 1 x 2 block output + */ + blkCnt = (numColsA * CMPLX_DIM) >> 2; + while (blkCnt > 0U) + { + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* + * move Matrix B read offsets, 2 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + + + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + + acc2 = vmlsldavaq(acc2, vecA, vecB); + acc3 = vmlaldavaxq(acc3, vecA, vecB); + + + blkCnt--; + } + + + /* + * tail + */ + blkCnt = (numColsA * CMPLX_DIM) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + + /* + * move Matrix B read offsets, 2 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + + vecA = vld1q(pSrcA0Vec); + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + vecA = vld1q(pSrcA1Vec); + acc2 = vmlsldavaq(acc2, vecA, vecB); + acc3 = vmlaldavaxq(acc3, vecA, vecB); + + + } + + px[0 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc0 >> 31); + px[0 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc1 >> 31); + px[1 * CMPLX_DIM * numColsB + 0] = (q31_t) clip_q63_to_q31(acc2 >> 31); + px[1 * CMPLX_DIM * numColsB + 1] = (q31_t) clip_q63_to_q31(acc3 >> 31); + px += CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM; + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += (numColsA * 2) * CMPLX_DIM; + /* + * Decrement the row loop counter + */ + rowCnt --; + + } + + rowCnt = row & 1; + while (rowCnt > 0u) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i * CMPLX_DIM; + i = i + numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (q31_t const *) pSrcB->pData; + /* + * column loop + */ + while (col > 0u) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q31_t const *pSrcA0Vec; + q31_t const *pInA0 = pInA; + q63_t acc0,acc1; + + acc0 = 0LL; + acc1 = 0LL; + + pSrcA0Vec = (q31_t const *) pInA0; + + vecOffs = vecColBOffs; + + /* + * process 1 x 2 block output + */ + blkCnt = (numColsA * CMPLX_DIM) >> 2; + while (blkCnt > 0U) + { + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* + * move Matrix B read offsets, 2 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + + + blkCnt--; + } + + + /* + * tail + */ + blkCnt = (numColsA * CMPLX_DIM) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + + /* + * move Matrix B read offsets, 2 rows down + */ + vecOffs = vecOffs + (uint32_t) (numColsB * 2 * CMPLX_DIM); + + vecA = vld1q(pSrcA0Vec); + + + acc0 = vmlsldavaq(acc0, vecA, vecB); + acc1 = vmlaldavaxq(acc1, vecA, vecB); + + + } + + px[0] = (q31_t) clip_q63_to_q31(acc0 >> 31); + px[1] = (q31_t) clip_q63_to_q31(acc1 >> 31); + + + px += CMPLX_DIM; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (q31_t const *) pSrcB->pData + (numColsB - col) * CMPLX_DIM; + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += numColsA * CMPLX_DIM; + rowCnt--; + } + + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* Output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + q63_t sumReal, sumImag; /* Accumulator */ + q31_t a1, b1, c1, d1; + uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t a0, b0, c0, d0; +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal = 0.0; + sumImag = 0.0; + + /* Initiate pointer pIn1 to point to starting address of column being processed */ + pIn1 = pInA; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + + /* Reading real part of complex matrix A */ + a0 = *pIn1; + + /* Reading real part of complex matrix B */ + c0 = *pIn2; + + /* Reading imaginary part of complex matrix A */ + b0 = *(pIn1 + 1U); + + /* Reading imaginary part of complex matrix B */ + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += (q63_t) a0 * c0; + sumImag += (q63_t) b0 * c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= (q63_t) b0 * d0; + sumImag += (q63_t) a0 * d0; + + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* read real and imag values from pSrcA and pSrcB buffer */ + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += (q63_t) a1 * c1; + sumImag += (q63_t) b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= (q63_t) b1 * d1; + sumImag += (q63_t) a1 * d1; + + a0 = *(pIn1 ); + c0 = *(pIn2 ); + b0 = *(pIn1 + 1U); + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += (q63_t) a0 * c0; + sumImag += (q63_t) b0 * c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= (q63_t) b0 * d0; + sumImag += (q63_t) a0 * d0; + + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += (q63_t) a1 * c1; + sumImag += (q63_t) b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= (q63_t) b1 * d1; + sumImag += (q63_t) a1 * d1; + + /* Decrement loop count */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + a1 = *(pIn1 ); + c1 = *(pIn2 ); + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal += (q63_t) a1 * c1; + sumImag += (q63_t) b1 * c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal -= (q63_t) b1 * d1; + sumImag += (q63_t) a1 * d1; + + /* Decrement loop counter */ + colCnt--; + } + + /* Store result in destination buffer */ + *px++ = (q31_t) clip_q63_to_q31(sumReal >> 31); + *px++ = (q31_t) clip_q63_to_q31(sumImag >> 31); + + /* Update pointer pIn2 to point to starting address of next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement column loop counter */ + col--; + + } while (col > 0U); + + /* Update pointer pInA to point to starting address of next row */ + i = i + numColsB; + pInA = pInA + 2 * numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_f32.c new file mode 100644 index 0000000..d5f64ac --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_f32.c @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_f32.c + * Description: Floating-point matrix initialization + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixInit Matrix Initialization + + Initializes the underlying matrix data structure. + The functions set the numRows, + numCols, and pData fields + of the matrix data structure. + */ + +/** + @addtogroup MatrixInit + @{ + */ + +/** + @brief Floating-point matrix initialization. + @param[in,out] S points to an instance of the floating-point matrix structure + @param[in] nRows number of rows in the matrix + @param[in] nColumns number of columns in the matrix + @param[in] pData points to the matrix data array + @return none + */ + +void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + @} end of MatrixInit group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q15.c new file mode 100644 index 0000000..0275503 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q15.c @@ -0,0 +1,67 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_q15.c + * Description: Q15 matrix initialization + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixInit + @{ + */ + +/** + @brief Q15 matrix initialization. + @param[in,out] S points to an instance of the floating-point matrix structure + @param[in] nRows number of rows in the matrix + @param[in] nColumns number of columns in the matrix + @param[in] pData points to the matrix data array + @return none + */ + +void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + @} end of MatrixInit group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q31.c new file mode 100644 index 0000000..54eeec7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_init_q31.c @@ -0,0 +1,72 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_q31.c + * Description: Q31 matrix initialization + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixInit Matrix Initialization + + */ + +/** + @addtogroup MatrixInit + @{ + */ + +/** + @brief Q31 matrix initialization. + @param[in,out] S points to an instance of the Q31 matrix structure + @param[in] nRows number of rows in the matrix + @param[in] nColumns number of columns in the matrix + @param[in] pData points to the matrix data array + @return none + */ + +void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + @} end of MatrixInit group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f32.c new file mode 100644 index 0000000..9858785 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f32.c @@ -0,0 +1,1589 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_inverse_f32.c + * Description: Floating-point matrix inverse + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixInv Matrix Inverse + + Computes the inverse of a matrix. + + The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero). + The function checks that the input and output matrices are square and of the same size. + + Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix + inversion of floating-point matrices. + + @par Algorithm + The Gauss-Jordan method is used to find the inverse. + The algorithm performs a sequence of elementary row-operations until it + reduces the input matrix to an identity matrix. Applying the same sequence + of elementary row-operations to an identity matrix yields the inverse matrix. + If the input matrix is singular, then the algorithm terminates and returns error status + ARM_MATH_SINGULAR. + \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method" + */ + +/** + @addtogroup MatrixInv + @{ + */ + +/** + @brief Floating-point matrix inverse. + @param[in] pSrc points to input matrix structure. The source matrix is modified by the function. + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible) + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + float32_t *pTmpA, *pTmpB; + + float32_t in = 0.0f; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + uint32_t blkCnt; + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ _ _ _ _ + * | | a11 a12 | | | 1 0 | | | X11 X12 | + * | | | | | | | = | | + * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). + * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* + * Working pointer for destination matrix + */ + pOutT1 = pOut; + /* + * Loop over the number of rows + */ + rowCnt = numRows; + /* + * Making the destination matrix as identity matrix + */ + while (rowCnt > 0U) + { + /* + * Writing all zeroes in lower triangle of the destination matrix + */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + /* + * Writing all ones in the diagonal of the destination matrix + */ + *pOutT1++ = 1.0f; + /* + * Writing all zeroes in upper triangle of the destination matrix + */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + /* + * Decrement the loop counter + */ + rowCnt--; + } + + /* + * Loop over the number of columns of the input matrix. + * All the elements in each column are processed by the row operations + */ + loopCnt = numCols; + /* + * Index modifier to navigate through the columns + */ + l = 0U; + while (loopCnt > 0U) + { + /* + * Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. + */ + + /* + * Working pointer for the input matrix that points + * * to the pivot element of the particular row + */ + pInT1 = pIn + (l * numCols); + /* + * Working pointer for the destination matrix that points + * * to the pivot element of the particular row + */ + pOutT1 = pOut + (l * numCols); + /* + * Temporary variable to hold the pivot value + */ + in = *pInT1; + /* + * Destination pointer modifier + */ + k = 1U; + + /* + * Check if the pivot element is zero + */ + if (*pInT1 == 0.0f) + { + /* + * Loop over the number rows present below + */ + for (i = (l + 1U); i < numRows; i++) + { + /* + * Update the input and destination pointers + */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + /* + * Check if there is a non zero pivot element to + * * replace in the rows below + */ + if (*pInT2 != 0.0f) + { + f32x4_t vecA, vecB; + /* + * Loop over number of columns + * * to the right of the pilot element + */ + pTmpA = pInT1; + pTmpB = pInT2; + blkCnt = (numCols - l) >> 2; + while (blkCnt > 0U) + { + + vecA = vldrwq_f32(pTmpA); + vecB = vldrwq_f32(pTmpB); + vstrwq_f32(pTmpB, vecA); + vstrwq_f32(pTmpA, vecB); + + pTmpA += 4; + pTmpB += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (numCols - l) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecA = vldrwq_f32(pTmpA); + vecB = vldrwq_f32(pTmpB); + vstrwq_p_f32(pTmpB, vecA, p0); + vstrwq_p_f32(pTmpA, vecB, p0); + } + + pInT1 += numCols - l; + pInT2 += numCols - l; + pTmpA = pOutT1; + pTmpB = pOutT2; + blkCnt = numCols >> 2; + while (blkCnt > 0U) + { + + vecA = vldrwq_f32(pTmpA); + vecB = vldrwq_f32(pTmpB); + vstrwq_f32(pTmpB, vecA); + vstrwq_f32(pTmpA, vecB); + pTmpA += 4; + pTmpB += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecA = vldrwq_f32(pTmpA); + vecB = vldrwq_f32(pTmpB); + vstrwq_p_f32(pTmpB, vecA, p0); + vstrwq_p_f32(pTmpA, vecB, p0); + } + + pOutT1 += numCols; + pOutT2 += numCols; + /* + * Flag to indicate whether exchange is done or not + */ + flag = 1U; + + /* + * Break after exchange is done + */ + break; + } + /* + * Update the destination pointer modifier + */ + k++; + } + } + + /* + * Update the status if the matrix is singular + */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* + * Points to the pivot row of input and destination matrices + */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* + * Temporary pointers to the pivot row pointers + */ + pInT1 = pPivotRowIn; + pOutT1 = pPivotRowDst; + + /* + * Pivot element of the row + */ + in = *(pIn + (l * numCols)); + + pTmpA = pInT1; + + f32x4_t invIn = vdupq_n_f32(1.0f / in); + + blkCnt = (numCols - l) >> 2; + f32x4_t vecA; + while (blkCnt > 0U) + { + *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA * invIn; + pTmpA += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = (numCols - l) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + + vecA = vldrwq_f32(pTmpA); + vecA = vecA * invIn; + vstrwq_p_f32(pTmpA, vecA, p0); + } + + pInT1 += numCols - l; + /* + * Loop over number of columns + * * to the right of the pilot element + */ + + pTmpA = pOutT1; + blkCnt = numCols >> 2; + while (blkCnt > 0U) + { + *(f32x4_t *) pTmpA = *(f32x4_t *) pTmpA *invIn; + pTmpA += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecA = vldrwq_f32(pTmpA); + vecA = vecA * invIn; + vstrwq_p_f32(pTmpA, vecA, p0); + } + + pOutT1 += numCols; + + /* + * Replace the rows with the sum of that row and a multiple of row i + * * so that each new element in column i above row i is zero. + */ + + /* + * Temporary pointers for input and destination matrices + */ + pInT1 = pIn; + pOutT1 = pOut; + + for (i = 0U; i < numRows; i++) + { + /* + * Check for the pivot element + */ + if (i == l) + { + /* + * If the processing element is the pivot element, + * only the columns to the right are to be processed + */ + pInT1 += numCols - l; + pOutT1 += numCols; + } + else + { + /* + * Element of the reference row + */ + + /* + * Working pointers for input and destination pivot rows + */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + /* + * Loop over the number of columns to the right of the pivot element, + * to replace the elements in the input matrix + */ + + in = *pInT1; + f32x4_t tmpV = vdupq_n_f32(in); + + blkCnt = (numCols - l) >> 2; + while (blkCnt > 0U) + { + f32x4_t vec1, vec2; + /* + * Replace the element by the sum of that row + * and a multiple of the reference row + */ + vec1 = vldrwq_f32(pInT1); + vec2 = vldrwq_f32(pPRT_in); + vec1 = vfmsq_f32(vec1, tmpV, vec2); + vstrwq_f32(pInT1, vec1); + pPRT_in += 4; + pInT1 += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (numCols - l) & 3; + if (blkCnt > 0U) + { + f32x4_t vec1, vec2; + mve_pred16_t p0 = vctp32q(blkCnt); + + vec1 = vldrwq_f32(pInT1); + vec2 = vldrwq_f32(pPRT_in); + vec1 = vfmsq_f32(vec1, tmpV, vec2); + vstrwq_p_f32(pInT1, vec1, p0); + pInT1 += blkCnt; + } + + blkCnt = numCols >> 2; + while (blkCnt > 0U) + { + f32x4_t vec1, vec2; + + /* + * Replace the element by the sum of that row + * and a multiple of the reference row + */ + vec1 = vldrwq_f32(pOutT1); + vec2 = vldrwq_f32(pPRT_pDst); + vec1 = vfmsq_f32(vec1, tmpV, vec2); + vstrwq_f32(pOutT1, vec1); + pPRT_pDst += 4; + pOutT1 += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) + { + f32x4_t vec1, vec2; + mve_pred16_t p0 = vctp32q(blkCnt); + + vec1 = vldrwq_f32(pOutT1); + vec2 = vldrwq_f32(pPRT_pDst); + vec1 = vfmsq_f32(vec1, tmpV, vec2); + vstrwq_p_f32(pOutT1, vec1, p0); + + pInT2 += blkCnt; + pOutT1 += blkCnt; + } + } + /* + * Increment the temporary input pointer + */ + pInT1 = pInT1 + l; + } + /* + * Increment the input pointer + */ + pIn++; + /* + * Decrement the loop counter + */ + loopCnt--; + /* + * Increment the index modifier + */ + l++; + } + + /* + * Set status as ARM_MATH_SUCCESS + */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0f)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0f) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + /* Return to application */ + return (status); +} + +#else +#if defined(ARM_MATH_NEON) +arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + + + float32_t Xchg, in = 0.0f, in1; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + float32x4_t vec1; + float32x4_t vec2; + float32x4_t tmpV; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ + * | a11 a12 | 1 0 | | X11 X12 | + * | | | = | | + * |_ a21 a22 | 0 1 _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). + * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement the loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0f) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0f) + { + /* Loop over number of columns + * to the right of the pilot element */ + j = numCols - l; + + while (j > 0U) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Exchange the row elements of the destination matrix */ + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pInT2 = pPivotRowDst; + + /* Pivot element of the row */ + in = *pPivotRowIn; + tmpV = vdupq_n_f32(1.0f/in); + + /* Loop over number of columns + * to the right of the pilot element */ + j = (numCols - l) >> 2; + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + vec1 = vld1q_f32(pInT1); + + vec1 = vmulq_f32(vec1, tmpV); + vst1q_f32(pInT1, vec1); + pInT1 += 4; + + /* Decrement the loop counter */ + j--; + } + + /* Tail */ + j = (numCols - l) & 3; + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + in1 = *pInT1; + *pInT1++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols >> 2; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + vec1 = vld1q_f32(pInT2); + + vec1 = vmulq_f32(vec1, tmpV); + vst1q_f32(pInT2, vec1); + pInT2 += 4; + + /* Decrement the loop counter */ + j--; + } + + /* Tail */ + j = numCols & 3; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + in1 = *pInT2; + *pInT2++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pInT2 = pOut; + + /* index used to check for pivot element */ + i = 0U; + + /* Loop over number of rows */ + /* to be replaced by the sum of that row and a multiple of row i */ + k = numRows; + + while (k > 0U) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + + pInT2 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + tmpV = vdupq_n_f32(in); + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + j = (numCols - l) >> 2; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + vec1 = vld1q_f32(pInT1); + vec2 = vld1q_f32(pPRT_in); + vec1 = vmlsq_f32(vec1, tmpV, vec2); + vst1q_f32(pInT1, vec1); + pPRT_in += 4; + pInT1 += 4; + + /* Decrement the loop counter */ + j--; + } + + /* Tail */ + j = (numCols - l) & 3; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT1; + *pInT1++ = in1 - (in * *pPRT_in++); + + /* Decrement the loop counter */ + j--; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + j = numCols >> 2; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + vec1 = vld1q_f32(pInT2); + vec2 = vld1q_f32(pPRT_pDst); + vec1 = vmlsq_f32(vec1, tmpV, vec2); + vst1q_f32(pInT2, vec1); + pPRT_pDst += 4; + pInT2 += 4; + + /* Decrement the loop counter */ + j--; + } + + /* Tail */ + j = numCols & 3; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT2; + *pInT2++ = in1 - (in * *pPRT_pDst++); + + /* Decrement the loop counter */ + j--; + } + + } + + /* Increment the temporary input pointer */ + pInT1 = pInT1 + l; + + /* Decrement the loop counter */ + k--; + + /* Increment the pivot index */ + i++; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0f)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0f) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + +#if defined (ARM_MATH_DSP) + + float32_t Xchg, in = 0.0f, in1; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || + (pDst->numRows != pDst->numCols) || + (pSrc->numRows != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ + * | a11 a12 | 1 0 | | X11 X12 | + * | | | = | | + * |_ a21 a22 | 0 1 _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). + * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0f) + { + /* Loop over the number rows present below */ + + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0f) + { + /* Loop over number of columns + * to the right of the pilot element */ + j = numCols - l; + + while (j > 0U) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Exchange the row elements of the destination matrix */ + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + + /* Decrement loop counter */ + j--; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + + /* Decrement loop counter */ + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pInT2 = pPivotRowDst; + + /* Pivot element of the row */ + in = *pPivotRowIn; + + /* Loop over number of columns + * to the right of the pilot element */ + j = (numCols - l); + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + in1 = *pInT1; + *pInT1++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + in1 = *pInT2; + *pInT2++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pInT2 = pOut; + + /* index used to check for pivot element */ + i = 0U; + + /* Loop over number of rows */ + /* to be replaced by the sum of that row and a multiple of row i */ + k = numRows; + + while (k > 0U) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + + pInT2 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + j = (numCols - l); + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT1; + *pInT1++ = in1 - (in * *pPRT_in++); + + /* Decrement the loop counter */ + j--; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT2; + *pInT2++ = in1 - (in * *pPRT_pDst++); + + /* Decrement loop counter */ + j--; + } + + } + + /* Increment temporary input pointer */ + pInT1 = pInT1 + l; + + /* Decrement loop counter */ + k--; + + /* Increment pivot index */ + i++; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + + +#else + + float32_t Xchg, in = 0.0f; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || + (pDst->numRows != pDst->numCols) || + (pSrc->numRows != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ _ _ _ _ + * | | a11 a12 | | | 1 0 | | | X11 X12 | + * | | | | | | | = | | + * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). + * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0f) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0f) + { + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + } + + for (j = 0U; j < numCols; j++) + { + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pOutT1 = pPivotRowDst; + + /* Pivot element of the row */ + in = *(pIn + (l * numCols)); + + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + *pInT1 = *pInT1 / in; + pInT1++; + } + for (j = 0U; j < numCols; j++) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + *pOutT1 = *pOutT1 / in; + pOutT1++; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pOutT1 = pOut; + + for (i = 0U; i < numRows; i++) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + pOutT1 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + for (j = 0U; j < (numCols - l); j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pInT1 = *pInT1 - (in * *pPRT_in++); + pInT1++; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + for (j = 0U; j < numCols; j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pOutT1 = *pOutT1 - (in * *pPRT_pDst++); + pOutT1++; + } + + } + + /* Increment temporary input pointer */ + pInT1 = pInT1 + l; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0f)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0f) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixInv group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f64.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f64.c new file mode 100644 index 0000000..b9b9309 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_inverse_f64.c @@ -0,0 +1,652 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_inverse_f64.c + * Description: Floating-point matrix inverse + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + + +/** + @addtogroup MatrixInv + @{ + */ + +/** + @brief Floating-point (64 bit) matrix inverse. + @param[in] pSrc points to input matrix structure. The source matrix is modified by the function. + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + - \ref ARM_MATH_SINGULAR : Input matrix is found to be singular (non-invertible) + */ + +arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * pSrc, + arm_matrix_instance_f64 * pDst) +{ + float64_t *pIn = pSrc->pData; /* input data matrix pointer */ + float64_t *pOut = pDst->pData; /* output data matrix pointer */ + float64_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float64_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + +#if defined (ARM_MATH_DSP) + + float64_t Xchg, in = 0.0, in1; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || + (pDst->numRows != pDst->numCols) || + (pSrc->numRows != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ + * | a11 a12 | 1 0 | | X11 X12 | + * | | | = | | + * |_ a21 a22 | 0 1 _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). + * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0; + j--; + } + + /* Decrement loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0) + { + /* Loop over number of columns + * to the right of the pilot element */ + j = numCols - l; + + while (j > 0U) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Exchange the row elements of the destination matrix */ + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + + /* Decrement loop counter */ + j--; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + + /* Decrement loop counter */ + i--; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pInT2 = pPivotRowDst; + + /* Pivot element of the row */ + in = *pPivotRowIn; + + /* Loop over number of columns + * to the right of the pilot element */ + j = (numCols - l); + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + in1 = *pInT1; + *pInT1++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + in1 = *pInT2; + *pInT2++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pInT2 = pOut; + + /* index used to check for pivot element */ + i = 0U; + + /* Loop over number of rows */ + /* to be replaced by the sum of that row and a multiple of row i */ + k = numRows; + + while (k > 0U) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + + pInT2 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + j = (numCols - l); + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT1; + *pInT1++ = in1 - (in * *pPRT_in++); + + /* Decrement the loop counter */ + j--; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT2; + *pInT2++ = in1 - (in * *pPRT_pDst++); + + /* Decrement loop counter */ + j--; + } + + } + + /* Increment temporary input pointer */ + pInT1 = pInT1 + l; + + /* Decrement loop counter */ + k--; + + /* Increment pivot index */ + i++; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + + +#else + + float64_t Xchg, in = 0.0; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || + (pDst->numRows != pDst->numCols) || + (pSrc->numRows != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ _ _ _ _ + * | | a11 a12 | | | 1 0 | | | X11 X12 | + * | | | | | | | = | | + * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). + * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0; + j--; + } + + /* Decrement loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * i); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0) + { + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + } + + for (j = 0U; j < numCols; j++) + { + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pOutT1 = pPivotRowDst; + + /* Pivot element of the row */ + in = *(pIn + (l * numCols)); + + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + *pInT1 = *pInT1 / in; + pInT1++; + } + for (j = 0U; j < numCols; j++) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + *pOutT1 = *pOutT1 / in; + pOutT1++; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pOutT1 = pOut; + + for (i = 0U; i < numRows; i++) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + pOutT1 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + for (j = 0U; j < (numCols - l); j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pInT1 = *pInT1 - (in * *pPRT_in++); + pInT1++; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + for (j = 0U; j < numCols; j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pOutT1 = *pOutT1 - (in * *pPRT_pDst++); + pOutT1++; + } + + } + + /* Increment temporary input pointer */ + pInT1 = pInT1 + l; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + + /* Return to application */ + return (status); +} + +/** + @} end of MatrixInv group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_f32.c new file mode 100644 index 0000000..e7cf233 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_f32.c @@ -0,0 +1,983 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_f32.c + * Description: Floating-point matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixMult Matrix Multiplication + * + * Multiplies two matrices. + * + * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices" + + * Matrix multiplication is only defined if the number of columns of the + * first matrix equals the number of rows of the second matrix. + * Multiplying an M x N matrix with an N x P matrix results + * in an M x P matrix. + * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of + * pSrcA and pSrcB are equal; and (2) that the size of the output + * matrix equals the outer dimensions of pSrcA and pSrcB. + */ + + +/** + * @addtogroup MatrixMult + * @{ + */ + +/** + * @brief Floating-point matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define MATRIX_DIM3 3 +#define MATRIX_DIM4 4 + +__STATIC_INLINE arm_status arm_mat_mult_f32_2x2_mve( + const arm_matrix_instance_f32 *pSrcA, + const arm_matrix_instance_f32 *pSrcB, + arm_matrix_instance_f32 *pDst) +{ + /* {a00, a00, a10, a10} */ + static const uint32_t offsetA0[4] = { 0, 0, 2, 2 }; + /* {b00, b01, b00, b01} */ + static const uint32_t offsetB0[4] = { 0, 1, 0, 1 }; + /* {a01, a01, a11, a11} */ + static const uint32_t offsetA1[4] = { 1, 1, 3, 3 }; + /* {b10, b11, b10, b11} */ + static const uint32_t offsetB1[4] = { 2, 3, 2, 3 }; + + uint32x4_t vecOffsA, vecOffsB; + f32x4_t vecInA, vecInB, vecDst; + + vecOffsA = vldrwq_u32((uint32_t const *) offsetA0); + vecOffsB = vldrwq_u32((uint32_t const *) offsetB0); + + vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA); + vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB); + + vecDst = vmulq(vecInA, vecInB); + + vecOffsA = vldrwq_u32((uint32_t const *) offsetA1); + vecOffsB = vldrwq_u32((uint32_t const *) offsetB1); + + vecInA = vldrwq_gather_shifted_offset((float32_t const *) pSrcA->pData, vecOffsA); + vecInB = vldrwq_gather_shifted_offset((float32_t const *) pSrcB->pData, vecOffsB); + + vecDst = vfmaq(vecDst, vecInA, vecInB); + + vstrwq_f32(pDst->pData, vecDst); + + return (ARM_MATH_SUCCESS); + +} + + +/* + * A = {{a00, a01, a02}, + * {a10, a11, a12}, + * {a20, a21, a22}} + * B = {{b00, b01, b02}, + * {b10, b11, b12}, + * {b20, b21, b22}} + * + * Dst = {{a00 b00 + a01 b10 + a02 b20, a00 b01 + a01 b11 + a02 b21, a00 b02 + a01 b12 + a02 b22}, + * {a10 b00 + a11 b10 + a12 b20, a10 b01 + a11 b11 + a12 b21, a10 b02 + a11 b12 + a12 b22}, + * {a20 b00 + a21 b10 + a22 b20, a20 b01 + a21 b11 + a22 b21, a20 b02 + a21 b12 + a22 b22}} + */ +__STATIC_INLINE arm_status arm_mat_mult_f32_3x3_mve( + const arm_matrix_instance_f32 *pSrcA, + const arm_matrix_instance_f32 *pSrcB, + arm_matrix_instance_f32 *pDst) +{ + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInA0, *pInA1, *pInA2; + f32x4_t vecMac0, vecMac1, vecMac2; + f32x4_t vecInB; + float32_t const *pSrBVec; + + pSrBVec = (float32_t const *) pInB; + + pInA0 = pInA; + pInA1 = pInA0 + MATRIX_DIM3; + pInA2 = pInA1 + MATRIX_DIM3; + /* enable predication to disable last (4th) vector element */ + mve_pred16_t p0 = vctp32q(MATRIX_DIM3); + + /* + * load {b0,0, b0,1, b0,2, 0} + */ + vecInB = vldrwq_z_f32(pSrBVec, p0); + pSrBVec += MATRIX_DIM3; + + vecMac0 = vmulq(vecInB, *pInA0++); + vecMac1 = vmulq(vecInB, *pInA1++); + vecMac2 = vmulq(vecInB, *pInA2++); + /* + * load {b1,0, b1,1, b1,2, 0} + */ + vecInB = vldrwq_z_f32(pSrBVec, p0); + pSrBVec += MATRIX_DIM3; + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + /* + * load {b2,0, b2,1 , b2,2, 0} + */ + vecInB = vldrwq_z_f32(pSrBVec, p0); + pSrBVec += MATRIX_DIM3; + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + + /* partial vector stores */ + vstrwq_p_f32(pOut, vecMac0, p0); + pOut += MATRIX_DIM3; + vstrwq_p_f32(pOut, vecMac1, p0); + pOut += MATRIX_DIM3; + vstrwq_p_f32(pOut, vecMac2, p0); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + + + +__STATIC_INLINE arm_status arm_mat_mult_f32_4x4_mve( + const arm_matrix_instance_f32 *pSrcA, + const arm_matrix_instance_f32 *pSrcB, + arm_matrix_instance_f32 *pDst) +{ + float32_t const *pSrBVec; + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInA0, *pInA1, *pInA2, *pInA3; + f32x4_t vecMac0, vecMac1, vecMac2, vecMac3; + f32x4_t vecInB; + + pSrBVec = (float32_t const *) pInB; + + pInA0 = pInA; + pInA1 = pInA0 + MATRIX_DIM4; + pInA2 = pInA1 + MATRIX_DIM4; + pInA3 = pInA2 + MATRIX_DIM4; + /* + * load {b0,0, b0,1, b0,2, b0,3} + */ + vecInB = vld1q(pSrBVec); + pSrBVec += MATRIX_DIM4; + + vecMac0 = vmulq(vecInB, *pInA0++); + vecMac1 = vmulq(vecInB, *pInA1++); + vecMac2 = vmulq(vecInB, *pInA2++); + vecMac3 = vmulq(vecInB, *pInA3++); + /* + * load {b1,0, b1,1, b1,2, b1,3} + */ + vecInB = vld1q(pSrBVec); + pSrBVec += MATRIX_DIM4; + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); + /* + * load {b2,0, b2,1, b2,2, b2,3} + */ + vecInB = vld1q(pSrBVec); + pSrBVec += MATRIX_DIM4; + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); + /* + * load {b3,0, b3,1, b3,2, b3,3} + */ + vecInB = vld1q(pSrBVec); + pSrBVec += MATRIX_DIM4; + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); + + vst1q(pOut, vecMac0); + pOut += MATRIX_DIM4; + vst1q(pOut, vecMac1); + pOut += MATRIX_DIM4; + vst1q(pOut, vecMac2); + pOut += MATRIX_DIM4; + vst1q(pOut, vecMac3); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + int numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + int numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + int numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint32_t blkCnt; /* loop counters */ + uint32_t i; + arm_status status; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* small squared matrix specialized routines */ + if(numRowsA == numColsB && numColsB == numColsA) { + if (numRowsA == 1) + { + pOut[0] = pInA[0] * pInB[0]; + return(ARM_MATH_SUCCESS); + } + else if(numRowsA == 2) + return arm_mat_mult_f32_2x2_mve(pSrcA, pSrcB, pDst); + else if(numRowsA == 3) + return arm_mat_mult_f32_3x3_mve(pSrcA, pSrcB, pDst); + else if(numRowsA == 4) + return arm_mat_mult_f32_4x4_mve(pSrcA, pSrcB, pDst); + } + + /* main loop process 4 rows */ + i = numRowsA >> 2; + while (i > 0U) + { + float32_t *pInA0, *pInA1, *pInA2, *pInA3; + float32_t *pInB0; + float32_t *pOut0, *pOut1, *pOut2, *pOut3; + f32x4_t vecMac0, vecMac1, vecMac2, vecMac3; + f32x4_t vecInB; + + /* pointers to 4 consecutive output rows */ + pOut0 = pOut; + pOut1 = pOut0 + numColsB; + pOut2 = pOut1 + numColsB; + pOut3 = pOut2 + numColsB; + pInB0 = pInB; + + uint32_t k = numColsB >> 2; + while (k > 0U) + { + /* pointers to 4 consecutive Matrix A rows */ + pInA0 = pInA; + pInA1 = pInA0 + numColsA; + pInA2 = pInA1 + numColsA; + pInA3 = pInA2 + numColsA; + + vecMac0 = vdupq_n_f32(0.0f); + vecMac1 = vdupq_n_f32(0.0f); + vecMac2 = vdupq_n_f32(0.0f); + vecMac3 = vdupq_n_f32(0.0f); + + blkCnt = numColsA; + + while (blkCnt > 0U) + { + /* + * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} + */ + vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */ + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); + + pInB0 = pInB0 + numColsB; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* Store the results (4 x 4 block) in the destination buffer */ + vst1q(pOut0, vecMac0); + pOut0 += 4; + vst1q(pOut1, vecMac1); + pOut1 += 4; + vst1q(pOut2, vecMac2); + pOut2 += 4; + vst1q(pOut3, vecMac3); + pOut3 += 4; + + /* + * rewind + */ + pInB0 -= (numColsB * numColsA) - 4; + k--; + } + + int colBLeft = numColsB & 3; + if (colBLeft) + { + pInA0 = pInA; + pInA1 = pInA0 + numColsA; + pInA2 = pInA1 + numColsA; + pInA3 = pInA2 + numColsA; + mve_pred16_t p0 = vctp32q(colBLeft); + + vecMac0 = vdupq_n_f32(0.0f); + vecMac1 = vdupq_n_f32(0.0f); + vecMac2 = vdupq_n_f32(0.0f); + vecMac3 = vdupq_n_f32(0.0f); + + blkCnt = numColsA; + + while (blkCnt > 0U) + { + /* + * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} + */ + vecInB = vldrwq_z_f32(pInB0, p0); + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + vecMac1 = vfmaq(vecMac1, vecInB, *pInA1++); + vecMac2 = vfmaq(vecMac2, vecInB, *pInA2++); + vecMac3 = vfmaq(vecMac3, vecInB, *pInA3++); + + pInB0 = pInB0 + numColsB; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* Store the results (4 x colBLeft block) in the destination buffer */ + vstrwq_p_f32(pOut0, vecMac0, p0); + vstrwq_p_f32(pOut1, vecMac1, p0); + vstrwq_p_f32(pOut2, vecMac2, p0); + vstrwq_p_f32(pOut3, vecMac3, p0); + } + + /* move to next rows */ + pInA += 4 * numColsA; + pOut += 4 * numColsB; + i--; + } + + /* + * non multiple of 4 rows for Matrix A + * process single row + */ + if (numRowsA & 3) + { + i = numRowsA & 3; + while (i > 0U) + { + float32_t *pInA0; + float32_t *pInB0; + float32_t *pOut0; + f32x4_t vecInB; + f32x4_t vecMac0; + + pOut0 = pOut; + pInB0 = pInB; + + uint32_t k = numColsB >> 2; + while (k > 0U) + { + pInA0 = pInA; + + vecMac0 = vdupq_n_f32(0.0f); + blkCnt = numColsA; + while (blkCnt > 0U) + { + /* + * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} + */ + vecInB = *(f32x4_t *)pInB0; /* vldrwq_f32(pInB0, 0); */ + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + + pInB0 = pInB0 + numColsB; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* Store the results (1 x 4 block) in the destination buffer */ + vst1q(pOut0, vecMac0); + pOut0 += 4; + + /* + * rewind + */ + pInB0 -= (numColsB * numColsA) - 4; + k--; + } + + int colBLeft = numColsB & 3; + if (colBLeft) + { + pInA0 = pInA; + mve_pred16_t p0 = vctp32q(colBLeft); + + vecMac0 = vdupq_n_f32(0.0f); + blkCnt = numColsA; + while (blkCnt > 0U) + { + /* + * load {bi,4n+0, bi,4n+1, bi,4n+2, bi,4n+3} + */ + vecInB = vldrwq_z_f32(pInB0, p0); + + vecMac0 = vfmaq(vecMac0, vecInB, *pInA0++); + + pInB0 = pInB0 + numColsB; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* Store the results (1 x colBLeft block) in the destination buffer */ + vstrwq_p_f32(pOut0, vecMac0, p0); + } + + /* move to next row */ + pInA += 1 * numColsA; + pOut += 1 * numColsB; + i--; + } + + } + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else + +#if defined(ARM_MATH_NEON) + +#define GROUPOFROWS 8 + +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + float32_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + + + uint16_t col, i = 0U, j, row = numRowsA, rowCnt, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + + float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V; + float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp; + float32x2_t accum = vdup_n_f32(0); + float32_t *pIn1B = pSrcA->pData; + float32_t *pIn1C = pSrcA->pData; + float32_t *pIn1D = pSrcA->pData; + float32_t *pIn1E = pSrcA->pData; + float32_t *pIn1F = pSrcA->pData; + float32_t *pIn1G = pSrcA->pData; + float32_t *pIn1H = pSrcA->pData; + + float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH; /* Temporary output data matrix pointer */ + float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* Row loop */ + rowCnt = row >> 3; + + while(rowCnt > 0) + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + GROUPOFROWS*i; + pxB = px + numColsB; + pxC = px + 2*numColsB; + pxD = px + 3*numColsB; + pxE = px + 4*numColsB; + pxF = px + 5*numColsB; + pxG = px + 6*numColsB; + pxH = px + 7*numColsB; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* Column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum0 = 0.0f; + sum1 = 0.0f; + sum2 = 0.0f; + sum3 = 0.0f; + sum4 = 0.0f; + sum5 = 0.0f; + sum6 = 0.0f; + sum7 = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + pIn1B = pIn1 + numColsA; + pIn1C = pIn1 + 2*numColsA; + pIn1D = pIn1 + 3*numColsA; + pIn1E = pIn1 + 4*numColsA; + pIn1F = pIn1 + 5*numColsA; + pIn1G = pIn1 + 6*numColsA; + pIn1H = pIn1 + 7*numColsA; + + acc0 = vdupq_n_f32(0.0); + acc1 = vdupq_n_f32(0.0); + acc2 = vdupq_n_f32(0.0); + acc3 = vdupq_n_f32(0.0); + acc4 = vdupq_n_f32(0.0); + acc5 = vdupq_n_f32(0.0); + acc6 = vdupq_n_f32(0.0); + acc7 = vdupq_n_f32(0.0); + + /* Compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* Matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + a0V = vld1q_f32(pIn1); + a1V = vld1q_f32(pIn1B); + a2V = vld1q_f32(pIn1C); + a3V = vld1q_f32(pIn1D); + a4V = vld1q_f32(pIn1E); + a5V = vld1q_f32(pIn1F); + a6V = vld1q_f32(pIn1G); + a7V = vld1q_f32(pIn1H); + + pIn1 += 4; + pIn1B += 4; + pIn1C += 4; + pIn1D += 4; + pIn1E += 4; + pIn1F += 4; + pIn1G += 4; + pIn1H += 4; + + temp = vsetq_lane_f32(*pIn2,temp,0); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,1); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,2); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,3); + pIn2 += numColsB; + + acc0 = vmlaq_f32(acc0,a0V,temp); + acc1 = vmlaq_f32(acc1,a1V,temp); + acc2 = vmlaq_f32(acc2,a2V,temp); + acc3 = vmlaq_f32(acc3,a3V,temp); + acc4 = vmlaq_f32(acc4,a4V,temp); + acc5 = vmlaq_f32(acc5,a5V,temp); + acc6 = vmlaq_f32(acc6,a6V,temp); + acc7 = vmlaq_f32(acc7,a7V,temp); + + /* Decrement the loop count */ + colCnt--; + } + + accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0)); + sum0 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1)); + sum1 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2)); + sum2 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3)); + sum3 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4)); + sum4 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5)); + sum5 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6)); + sum6 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7)); + sum7 += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA & 3; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + sum0 += *pIn1++ * (*pIn2); + sum1 += *pIn1B++ * (*pIn2); + sum2 += *pIn1C++ * (*pIn2); + sum3 += *pIn1D++ * (*pIn2); + sum4 += *pIn1E++ * (*pIn2); + sum5 += *pIn1F++ * (*pIn2); + sum6 += *pIn1G++ * (*pIn2); + sum7 += *pIn1H++ * (*pIn2); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = sum0; + *pxB++ = sum1; + *pxC++ = sum2; + *pxD++ = sum3; + *pxE++ = sum4; + *pxF++ = sum5; + *pxG++ = sum6; + *pxH++ = sum7; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + GROUPOFROWS*numColsA; + + /* Decrement the row loop counter */ + rowCnt--; + } + + /* + + i was the index of a group of rows computed by previous loop. + Now i is the index of a row since below code is computing row per row + and no more group of row per group of rows. + + */ + + i = GROUPOFROWS*i; + rowCnt = row & 7; + + while(rowCnt > 0) + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* Column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + + acc0 = vdupq_n_f32(0.0); + + /* Compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* Matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + a0V = vld1q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2) + pIn1 += 4; + + temp = vsetq_lane_f32(*pIn2,temp,0); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,1); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,2); + pIn2 += numColsB; + temp = vsetq_lane_f32(*pIn2,temp,3); + pIn2 += numColsB; + + acc0 = vmlaq_f32(acc0,a0V,temp); + + /* Decrement the loop count */ + colCnt--; + } + + accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0)); + sum += vget_lane_f32(accum, 0) + vget_lane_f32(accum, 1); + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */ + sum += *pIn1++ * (*pIn2); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = sum; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement the row loop counter */ + rowCnt--; + + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ + float32_t *pInB = pSrcB->pData; /* Input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* Output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + float32_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of row being processed */ + px = pOut + i; + + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0.0f; + + /* Initialize pointer pIn1 to point to starting address of column being processed */ + pIn1 = pInA; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 MACs at a time. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* Perform the multiply-accumulates */ + sum += *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += *pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Loop unrolling: Compute remaining MACs */ + colCnt = numColsA % 0x4U; + +#else + + /* Initialize cntCnt with number of columns */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* Perform the multiply-accumulates */ + sum += *pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Store result in destination buffer */ + *px++ = sum; + + /* Decrement column loop counter */ + col--; + + /* Update pointer pIn2 to point to starting address of next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + + /* Update pointer pInA to point to starting address of next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q15.c new file mode 100644 index 0000000..670ace1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q15.c @@ -0,0 +1,483 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_fast_q15.c + * Description: Q15 matrix multiplication (fast variant) + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixMult + @{ + */ + +/** + @brief Q15 matrix multiplication (fast variant). + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @param[in] pState points to the array for storing intermediate results + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The difference between the function \ref arm_mat_mult_q15() and this fast variant is that + the fast variant use a 32-bit rather than a 64-bit accumulator. + The result of each 1.15 x 1.15 multiplication is truncated to + 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 + format. Finally, the accumulator is saturated and converted to a 1.15 result. + @par + The fast version has the same overflow behavior as the standard version but provides + less precision since it discards the low 16 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + Scale down one of the input matrices by log2(numColsA) bits to avoid overflows, + as a total of numColsA additions are computed internally for each output element. + @remark + Refer to \ref arm_mat_mult_q15() for a slower implementation of this function + which uses 64-bit accumulation to provide higher precision. + */ + +arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState) +{ + q31_t sum; /* Accumulator */ + q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix A */ + uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + +#if defined (ARM_MATH_DSP) + q31_t in; /* Temporary variable to hold the input value */ + q31_t inA1, inB1, inA2, inB2; + q31_t sum2, sum3, sum4; + q15_t *pInA2, *pInB2, *px2; + uint32_t j = 0; +#else + q15_t in; /* Temporary variable to hold the input value */ + q15_t inA1, inB1, inA2, inB2; +#endif /* #if defined (ARM_MATH_DSP) */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose */ + do + { + /* The pointer px is set to starting address of column being processed */ + px = pSrcBT + i; + + /* Apply loop unrolling and exchange columns with row elements */ + col = numColsB >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { + +#if defined (ARM_MATH_DSP) + + /* Read two elements from row */ + in = read_q15x2_ia ((q15_t **) &pInB); + + /* Unpack and store one element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) in; +#else + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + /* Unpack and store second element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *px = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + in = read_q15x2_ia ((q15_t **) &pInB); +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) in; +#else + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += numRowsB; + +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *px = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += numRowsB; + +#else /* #if defined (ARM_MATH_DSP) */ + + /* Read one element from row */ + in = *pInB++; + + /* Store one element in destination */ + *px = in; + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + in = *pInB++; + *px = in; + px += numRowsB; + + in = *pInB++; + *px = in; + px += numRowsB; + + in = *pInB++; + *px = in; + px += numRowsB; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read and store input element in destination */ + *px = *pInB++; + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + /* Decrement column loop counter */ + col--; + } + + i++; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Reset variables for usage in following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + +#if defined (ARM_MATH_DSP) + /* Process two rows from matrix A at a time and output two rows at a time */ + row = row >> 1U; + px2 = px + numColsB; +#endif + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + while (row > 0U) + { + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */ + pInB = pSrcBT; + +#if defined (ARM_MATH_DSP) + /* Process two (transposed) columns from matrix B at a time */ + col = col >> 1U; + j = 0; +#endif + + /* column loop */ + while (col > 0U) + { + /* Set variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate pointer pInA to point to starting address of column being processed */ + pInA = pSrcA->pData + i; + +#if defined (ARM_MATH_DSP) + sum2 = 0; + sum3 = 0; + sum4 = 0; + pInB = pSrcBT + j; + pInA2 = pInA + numColsA; + pInB2 = pInB + numRowsB; + + /* Read in two elements at once - alows dual MAC instruction */ + colCnt = numColsA >> 1U; +#else + colCnt = numColsA >> 2U; +#endif + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + +#if defined (ARM_MATH_DSP) + /* read real and imag values from pSrcA and pSrcB buffer */ + inA1 = read_q15x2_ia ((q15_t **) &pInA); + inB1 = read_q15x2_ia ((q15_t **) &pInB); + + inA2 = read_q15x2_ia ((q15_t **) &pInA2); + inB2 = read_q15x2_ia ((q15_t **) &pInB2); + + /* Multiply and Accumlates */ + sum = __SMLAD(inA1, inB1, sum); + sum2 = __SMLAD(inA1, inB2, sum2); + sum3 = __SMLAD(inA2, inB1, sum3); + sum4 = __SMLAD(inA2, inB2, sum4); +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + inA1 = *pInA++; + inB1 = *pInB++; + /* Multiply and Accumlates */ + sum += inA1 * inB1; + + inA2 = *pInA++; + inB2 = *pInB++; + sum += inA2 * inB2; + + inA1 = *pInA++; + inB1 = *pInB++; + sum += inA1 * inB1; + + inA2 = *pInA++; + inB2 = *pInB++; + sum += inA2 * inB2; +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + colCnt--; + } + + /* process odd column samples */ +#if defined (ARM_MATH_DSP) + if (numColsA & 1U) { + inA1 = *pInA++; + inB1 = *pInB++; + inA2 = *pInA2++; + inB2 = *pInB2++; + sum += inA1 * inB1; + sum2 += inA1 * inB2; + sum3 += inA2 * inB1; + sum4 += inA2 * inB2; + } +#else + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + sum += (q31_t) *pInA++ * *pInB++; + + /* Decrement loop counter */ + colCnt--; + } +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Saturate and store result in destination buffer */ + *px++ = (q15_t) (sum >> 15); + +#if defined (ARM_MATH_DSP) + *px++ = (q15_t) (sum2 >> 15); + *px2++ = (q15_t) (sum3 >> 15); + *px2++ = (q15_t) (sum4 >> 15); + j += numRowsB * 2; +#endif + + /* Decrement column loop counter */ + col--; + + } + + i = i + numColsA; + +#if defined (ARM_MATH_DSP) + i = i + numColsA; + px = px2 + (numColsB & 1U); + px2 = px + numColsB; +#endif + + /* Decrement row loop counter */ + row--; + + } + + /* Compute any remaining odd row/column below */ + +#if defined (ARM_MATH_DSP) + + /* Compute remaining output column */ + if (numColsB & 1U) { + + /* Avoid redundant computation of last element */ + row = numRowsA & (~0x1); + + /* Point to remaining unfilled column in output matrix */ + px = pDst->pData + numColsB-1; + pInA = pSrcA->pData; + + /* row loop */ + while (row > 0) + { + + /* point to last column in matrix B */ + pInB = pSrcBT + numRowsB * (numColsB-1); + + /* Set variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = read_q15x2_ia ((q15_t **) &pInA); + inA2 = read_q15x2_ia ((q15_t **) &pInA); + inB1 = read_q15x2_ia ((q15_t **) &pInB); + inB2 = read_q15x2_ia ((q15_t **) &pInB); + + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); + + /* Decrement loop counter */ + colCnt--; + } + + colCnt = numColsA & 3U; + while (colCnt > 0U) { + sum += (q31_t) (*pInA++) * (*pInB++); + colCnt--; + } + + /* Store result in destination buffer */ + *px = (q15_t) (sum >> 15); + px += numColsB; + + /* Decrement row loop counter */ + row--; + } + } + + /* Compute remaining output row */ + if (numRowsA & 1U) { + + /* point to last row in output matrix */ + px = pDst->pData + (numColsB) * (numRowsA-1); + + pInB = pSrcBT; + col = numColsB; + i = 0U; + + /* col loop */ + while (col > 0) + { + /* point to last row in matrix A */ + pInA = pSrcA->pData + (numRowsA-1) * numColsA; + + /* Set variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = read_q15x2_ia ((q15_t **) &pInA); + inA2 = read_q15x2_ia ((q15_t **) &pInA); + inB1 = read_q15x2_ia ((q15_t **) &pInB); + inB2 = read_q15x2_ia ((q15_t **) &pInB); + + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); + + /* Decrement loop counter */ + colCnt--; + } + + colCnt = numColsA % 4U; + while (colCnt > 0U) { + sum += (q31_t) (*pInA++) * (*pInB++); + + colCnt--; + } + + /* Store result in destination buffer */ + *px++ = (q15_t) (sum >> 15); + + /* Decrement column loop counter */ + col--; + } + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q31.c new file mode 100644 index 0000000..6f6bf38 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_fast_q31.c @@ -0,0 +1,374 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_fast_q31.c + * Description: Q31 matrix multiplication (fast variant) + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixMult + @{ + */ + +/** + @brief Q31 matrix multiplication (fast variant). + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The difference between the function \ref arm_mat_mult_q31() and this fast variant is that + the fast variant use a 32-bit rather than a 64-bit accumulator. + The result of each 1.31 x 1.31 multiplication is truncated to + 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 + format. Finally, the accumulator is saturated and converted to a 1.31 result. + @par + The fast version has the same overflow behavior as the standard version but provides + less precision since it discards the low 32 bits of each multiplication result. + In order to avoid overflows completely the input signals must be scaled down. + Scale down one of the input matrices by log2(numColsA) bits to avoid overflows, + as a total of numColsA additions are computed internally for each output element. + @remark + Refer to \ref arm_mat_mult_q31() for a slower implementation of this function + which uses 64-bit accumulation to provide higher precision. + */ + +arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ + q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */ + q31_t *pInA2; + q31_t *px; /* Temporary output data matrix pointer */ + q31_t *px2; + q31_t sum1, sum2, sum3, sum4; /* Accumulator */ + q31_t inA1, inA2, inB1, inB2; + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + px = pDst->pData; + + row = row >> 1U; + px2 = px + numColsB; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + while (row > 0U) + { + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ + pInB = pSrcB->pData; + + j = 0U; + + col = col >> 1U; + + /* column loop */ + while (col > 0U) + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum1 = 0; + sum2 = 0; + sum3 = 0; + sum4 = 0; + + /* Initiate data pointers */ + pInA = pSrcA->pData + i; + pInB = pSrcB->pData + j; + pInA2 = pInA + numColsA; + + colCnt = numColsA; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + inA1 = *pInA++; + inB1 = pInB[0]; + inA2 = *pInA2++; + inB2 = pInB[1]; + pInB += numColsB; + +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(inA1, inB1, sum1); + sum2 = __SMMLA(inA1, inB2, sum2); + sum3 = __SMMLA(inA2, inB1, sum3); + sum4 = __SMMLA(inA2, inB2, sum4); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); + sum2 = (q31_t) ((((q63_t) sum2 << 32) + ((q63_t) inA1 * inB2)) >> 32); + sum3 = (q31_t) ((((q63_t) sum3 << 32) + ((q63_t) inA2 * inB1)) >> 32); + sum4 = (q31_t) ((((q63_t) sum4 << 32) + ((q63_t) inA2 * inB2)) >> 32); +#endif + + /* Decrement loop counter */ + colCnt--; + } + + /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ + *px++ = sum1 << 1; + *px++ = sum2 << 1; + *px2++ = sum3 << 1; + *px2++ = sum4 << 1; + + j += 2; + + /* Decrement column loop counter */ + col--; + } + + i = i + (numColsA << 1U); + px = px2 + (numColsB & 1U); + px2 = px + numColsB; + + /* Decrement row loop counter */ + row--; + } + + /* Compute any remaining odd row/column below */ + + /* Compute remaining output column */ + if (numColsB & 1U) { + + /* Avoid redundant computation of last element */ + row = numRowsA & (~1U); + + /* Point to remaining unfilled column in output matrix */ + px = pDst->pData + numColsB-1; + pInA = pSrcA->pData; + + /* row loop */ + while (row > 0) + { + + /* point to last column in matrix B */ + pInB = pSrcB->pData + numColsB-1; + + /* Set variable sum1, that acts as accumulator, to zero */ + sum1 = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 columns at a time. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Loop unrolling: Compute remaining column */ + colCnt = numColsA % 4U; + +#else + + /* Initialize colCnt with number of columns */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) { +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + + colCnt--; + } + + /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ + *px = sum1 << 1; + px += numColsB; + + /* Decrement row loop counter */ + row--; + } + } + + /* Compute remaining output row */ + if (numRowsA & 1U) { + + /* point to last row in output matrix */ + px = pDst->pData + (numColsB) * (numRowsA-1); + + col = numColsB; + i = 0U; + + /* col loop */ + while (col > 0) + { + + /* point to last row in matrix A */ + pInA = pSrcA->pData + (numRowsA-1) * numColsA; + pInB = pSrcB->pData + i; + + /* Set variable sum1, that acts as accumulator, to zero */ + sum1 = 0; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 columns at a time. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(inA1, inB1, sum1); + sum1 = __SMMLA(inA2, inB2, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32); +#endif + + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(inA1, inB1, sum1); + sum1 = __SMMLA(inA2, inB2, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32); + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32); +#endif + + /* Decrement loop counter */ + colCnt--; + } + + /* Loop unrolling: Compute remaining column */ + colCnt = numColsA % 4U; + +#else + + /* Initialize colCnt with number of columns */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) { +#if defined (ARM_MATH_DSP) + sum1 = __SMMLA(*pInA++, *pInB, sum1); +#else + sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32); +#endif + pInB += numColsB; + + colCnt--; + } + + /* Saturate and store the result in the destination buffer */ + *px++ = sum1 << 1; + i++; + + /* Decrement col loop counter */ + col--; + } + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q15.c new file mode 100644 index 0000000..d0c45c0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q15.c @@ -0,0 +1,892 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_q15.c + * Description: Q15 matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixMult + @{ + */ + +/** + @brief Q15 matrix multiplication. + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @param[in] pState points to the array for storing intermediate results (Unused) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. The inputs to the + multiplications are in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + This approach provides 33 guard bits and there is no risk of overflow. + The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits + and then saturated to 1.15 format. + @par + Refer to \ref arm_mat_mult_fast_q15() for a faster but less precise version of this function. + */ +#if defined(ARM_MATH_MVEI) + +#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff) + +#define MATRIX_DIM2 2 +#define MATRIX_DIM3 3 +#define MATRIX_DIM4 4 + +__STATIC_INLINE arm_status arm_mat_mult_q15_2x2_mve( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16x8_t vecColBOffs; + q15_t *pInA0 = pInA; + q15_t *pInA1 = pInA0 + MATRIX_DIM2; + q63_t acc0, acc1; + q15x8_t vecB, vecA0, vecA1; + mve_pred16_t p0 = vctp16q(MATRIX_DIM2); + + vecColBOffs = vidupq_u16((uint32_t)0, 2); /* MATRIX_DIM2 */ + + pInB = pSrcB->pData; + + vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0); + + vecA0 = vldrhq_s16(pInA0); + vecA1 = vldrhq_s16(pInA1); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + + pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16); + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + + pOut[0 * MATRIX_DIM2] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM2] = (q15_t) __SSAT(acc1, 16); + + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + + +__STATIC_INLINE arm_status arm_mat_mult_q15_3x3_mve( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16x8_t vecColBOffs; + q15_t *pInA0 = pInA; + q15_t *pInA1 = pInA0 + MATRIX_DIM3; + q15_t *pInA2 = pInA1 + MATRIX_DIM3; + q63_t acc0, acc1, acc2; + q15x8_t vecB, vecA0, vecA1, vecA2; + mve_pred16_t p0 = vctp16q(MATRIX_DIM3); + + vecColBOffs = vidupq_u16((uint32_t)0, 1); + vecColBOffs = vecColBOffs * MATRIX_DIM3; + + pInB = pSrcB->pData; + + vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0); + + vecA0 = vldrhq_s16(pInA0); + vecA1 = vldrhq_s16(pInA1); + vecA2 = vldrhq_s16(pInA2); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + + pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16); + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + + pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16); + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + + pOut[0 * MATRIX_DIM3] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM3] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM3] = (q15_t) __SSAT(acc2, 16); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + +__STATIC_INLINE arm_status arm_mat_mult_q15_4x4_mve( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16x8_t vecColBOffs; + q15_t *pInA0 = pInA; + q15_t *pInA1 = pInA0 + MATRIX_DIM4; + q15_t *pInA2 = pInA1 + MATRIX_DIM4; + q15_t *pInA3 = pInA2 + MATRIX_DIM4; + q63_t acc0, acc1, acc2, acc3; + q15x8_t vecB, vecA0, vecA1, vecA2, vecA3; + mve_pred16_t p0 = vctp16q(MATRIX_DIM4); + + vecColBOffs = vidupq_u16((uint32_t)0, 4); + + pInB = pSrcB->pData; + + vecB = vldrhq_gather_shifted_offset_z_s16((q15_t const *)pInB, vecColBOffs, p0); + + vecA0 = vldrhq_s16(pInA0); + vecA1 = vldrhq_s16(pInA1); + vecA2 = vldrhq_s16(pInA2); + vecA3 = vldrhq_s16(pInA3); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + acc3 = vmlaldavq(vecA3, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + acc3 = asrl(acc3, 15); + + pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16); + pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16); + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + acc3 = vmlaldavq(vecA3, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + acc3 = asrl(acc3, 15); + + pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16); + pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16); + + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + acc3 = vmlaldavq(vecA3, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + acc3 = asrl(acc3, 15); + + pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16); + pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16); + + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrhq_gather_shifted_offset_z_s16(pInB, vecColBOffs, p0); + + acc0 = vmlaldavq(vecA0, vecB); + acc1 = vmlaldavq(vecA1, vecB); + acc2 = vmlaldavq(vecA2, vecB); + acc3 = vmlaldavq(vecA3, vecB); + + acc0 = asrl(acc0, 15); + acc1 = asrl(acc1, 15); + acc2 = asrl(acc2, 15); + acc3 = asrl(acc3, 15); + + pOut[0 * MATRIX_DIM4] = (q15_t) __SSAT(acc0, 16); + pOut[1 * MATRIX_DIM4] = (q15_t) __SSAT(acc1, 16); + pOut[2 * MATRIX_DIM4] = (q15_t) __SSAT(acc2, 16); + pOut[3 * MATRIX_DIM4] = (q15_t) __SSAT(acc3, 16); + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState) +{ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + uint16x8_t vecOffs, vecColBOffs; + uint32_t blkCnt,rowCnt; /* loop counters */ + arm_status status; /* Status of matrix multiplication */ + (void)pState; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* small squared matrix specialized routines */ + if(numRowsA == numColsB && numColsB == numColsA) { + + if (numRowsA == 1) + { + q63_t sum; + sum = pInA[0] * pInB[0]; + pOut[0] = (q15_t) __SSAT((sum >> 15), 16); + return (ARM_MATH_SUCCESS); + } + else if(numRowsA == 2) + return arm_mat_mult_q15_2x2_mve(pSrcA, pSrcB, pDst); + else if(numRowsA == 3) + return arm_mat_mult_q15_3x3_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 4) + return arm_mat_mult_q15_4x4_mve(pSrcA, pSrcB, pDst); + } + + vecColBOffs = vidupq_u16((uint32_t)0, 1); + vecColBOffs = vecColBOffs * (uint16_t) (numColsB); + + /* + * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB + */ + + /* + * row loop + */ + rowCnt = row >> 2; + while (rowCnt > 0U) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i; + i = i + 4 * numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = pSrcB->pData; + /* + * column loop + */ + while (col > 0U) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q15_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec; + q15_t *pInA0 = pInA; + q15_t *pInA1 = pInA0 + numColsA; + q15_t *pInA2 = pInA1 + numColsA; + q15_t *pInA3 = pInA2 + numColsA; + q63_t acc0, acc1, acc2, acc3; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + pSrcA0Vec = (q15_t const *) pInA0; + pSrcA1Vec = (q15_t const *) pInA1; + pSrcA2Vec = (q15_t const *) pInA2; + pSrcA3Vec = (q15_t const *) pInA3; + + vecOffs = vecColBOffs; + + blkCnt = (numColsA) >> 3; + while (blkCnt > 0U) + { + q15x8_t vecB, vecA; + + vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs); + vecOffs = vecOffs + (uint16_t) (numColsB * 8); + + vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 8; + acc0 = vmlaldavaq(acc0, vecA, vecB); + vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 8; + acc1 = vmlaldavaq(acc1, vecA, vecB); + vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 8; + acc2 = vmlaldavaq(acc2, vecA, vecB); + vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 8; + acc3 = vmlaldavaq(acc3, vecA, vecB); + blkCnt--; + + } + /* + * tail + */ + blkCnt = numColsA & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + q15x8_t vecB, vecA; + + vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs); + vecOffs = vecOffs + (uint16_t) (numColsB * 8); + + vecA = vld1q(pSrcA0Vec); + acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0); + vecA = vld1q(pSrcA1Vec); + acc1 = vmlaldavaq_p(acc1, vecA, vecB, p0); + vecA = vld1q(pSrcA2Vec); + acc2 = vmlaldavaq_p(acc2, vecA, vecB, p0); + vecA = vld1q(pSrcA3Vec); + acc3 = vmlaldavaq_p(acc3, vecA, vecB, p0); + } + + px[0] = (q15_t)MVE_ASRL_SAT16(acc0, 15); + px[1 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc1, 15); + px[2 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc2, 15); + px[3 * numColsB] = (q15_t)MVE_ASRL_SAT16(acc3, 15); + px++; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = pSrcB->pData + (numColsB - col); + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += (numColsA * 4); + /* + * Decrement the row loop counter + */ + rowCnt --; + + } + + rowCnt = row & 3; + while (rowCnt > 0U) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i; + i = i + numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = pSrcB->pData; + /* + * column loop + */ + while (col > 0U) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q15_t const *pSrcA0Vec; + q15_t *pInA0 = pInA; + q63_t acc0; + + acc0 = 0LL; + + pSrcA0Vec = (q15_t const *) pInA0; + + vecOffs = vecColBOffs; + + blkCnt = (numColsA) >> 3; + while (blkCnt > 0U) + { + q15x8_t vecB, vecA; + + vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs); + vecOffs = vecOffs + (uint16_t) (numColsB * 8); + + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 8; + acc0 = vmlaldavaq(acc0, vecA, vecB); + + blkCnt--; + + } + /* + * tail + */ + blkCnt = numColsA & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + q15x8_t vecB, vecA; + + vecB = vldrhq_gather_shifted_offset((int16_t const *)pInB, vecOffs); + vecOffs = vecOffs + (uint16_t) (numColsB * 8); + + vecA = vld1q(pSrcA0Vec); + acc0 = vmlaldavaq_p(acc0, vecA, vecB, p0); + + } + + px[0] = (q15_t)MVE_ASRL_SAT16(acc0, 15); + + px++; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = pSrcB->pData + (numColsB - col); + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += (numColsA ); + rowCnt--; + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} +#else +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState) +{ + q63_t sum; /* Accumulator */ + +#if defined (ARM_MATH_DSP) /* != CM0 */ + + q15_t *pSrcBT = pState; /* Input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* Number of rows of input matrix A */ + uint32_t col, i = 0U, row = numRowsB, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + + q31_t in; /* Temporary variable to hold the input value */ + q31_t inA1, inB1, inA2, inB2; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose */ + do + { + /* The pointer px is set to starting address of column being processed */ + px = pSrcBT + i; + + /* Apply loop unrolling and exchange columns with row elements */ + col = numColsB >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { + /* Read two elements from row */ + in = read_q15x2_ia ((q15_t **) &pInB); + + /* Unpack and store one element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) in; +#else + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + /* Unpack and store second element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *px = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + /* Read two elements from row */ + in = read_q15x2_ia ((q15_t **) &pInB); + + /* Unpack and store one element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) in; +#else + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += numRowsB; + +#ifndef ARM_MATH_BIG_ENDIAN + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *px = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += numRowsB; + + /* Decrement column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read and store input element in destination */ + *px = *pInB++; + + /* Update pointer px to point to next row of transposed matrix */ + px += numRowsB; + + /* Decrement column loop counter */ + col--; + } + + i++; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Reset variables for usage in following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */ + pInB = pSrcBT; + + /* column loop */ + do + { + /* Set variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate pointer pInA to point to starting address of column being processed */ + pInA = pSrcA->pData + i; + + /* Apply loop unrolling and compute 2 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* read real and imag values from pSrcA and pSrcB buffer */ + inA1 = read_q15x2_ia ((q15_t **) &pInA); + inB1 = read_q15x2_ia ((q15_t **) &pInB); + + inA2 = read_q15x2_ia ((q15_t **) &pInA); + inB2 = read_q15x2_ia ((q15_t **) &pInB); + + /* Multiply and Accumlates */ + sum = __SMLALD(inA1, inB1, sum); + sum = __SMLALD(inA2, inB2, sum); + + /* Decrement loop counter */ + colCnt--; + } + + /* process remaining column samples */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + sum += *pInA++ * *pInB++; + + /* Decrement loop counter */ + colCnt--; + } + + /* Saturate and store result in destination buffer */ + *px = (q15_t) (__SSAT((sum >> 15), 16)); + px++; + + /* Decrement column loop counter */ + col--; + + } while (col > 0U); + + i = i + numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + +#else /* #if defined (ARM_MATH_DSP) */ + + q15_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ + q15_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* Input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* Input data matrix pointer B of Q15 type */ + q15_t *pOut = pDst->pData; /* Output data matrix pointer */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + (void)pState; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate pointer pIn1 to point to starting address of pSrcA */ + pIn1 = pInA; + + /* Matrix A columns number of MAC operations are to be performed */ + colCnt = numColsA; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* Perform multiply-accumulates */ + sum += (q31_t) * pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Convert result from 34.30 to 1.15 format and store saturated value in destination buffer */ + + /* Saturate and store result in destination buffer */ + *px++ = (q15_t) __SSAT((sum >> 15), 16); + + /* Decrement column loop counter */ + col--; + + /* Update pointer pIn2 to point to starting address of next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + + /* Update pointer pSrcA to point to starting address of next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q31.c new file mode 100644 index 0000000..6a7b34f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_mult_q31.c @@ -0,0 +1,763 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_q31.c + * Description: Q31 matrix multiplication + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixMult + @{ + */ + +/** + @brief Q31 matrix multiplication. + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate + multiplication results but provides only a single guard bit. There is no saturation + on intermediate additions. Thus, if the accumulator overflows it wraps around and + distorts the result. The input signals should be scaled down to avoid intermediate + overflows. The input is thus scaled down by log2(numColsA) bits + to avoid overflows, as a total of numColsA additions are performed internally. + The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + @remark + Refer to \ref arm_mat_mult_fast_q31() for a faster but less precise implementation of this function. + */ +#if defined(ARM_MATH_MVEI) + +#define MATRIX_DIM2 2 +#define MATRIX_DIM3 3 +#define MATRIX_DIM4 4 + +__STATIC_INLINE arm_status arm_mat_mult_q31_2x2_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs; + q31_t *pInA0 = pInA; + q31_t *pInA1 = pInA0 + MATRIX_DIM2; + q63_t acc0, acc1; + q31x4_t vecB, vecA0, vecA1; + /* enable predication to disable half of vector elements */ + mve_pred16_t p0 = vctp32q(MATRIX_DIM2); + + vecColBOffs = vidupq_u32((uint32_t)0, 1); + vecColBOffs = vecColBOffs * MATRIX_DIM2; + + pInB = pSrcB->pData; + + /* load 1st B column (partial load) */ + vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0); + + /* load A rows */ + vecA0 = vldrwq_s32(pInA0); + vecA1 = vldrwq_s32(pInA1); + + acc0 = vrmlaldavhq(vecA0, vecB); + acc1 = vrmlaldavhq(vecA1, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + + pOut[0 * MATRIX_DIM2] = (q31_t) acc0; + pOut[1 * MATRIX_DIM2] = (q31_t) acc1; + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0); + + acc0 = vrmlaldavhq(vecA0, vecB); + acc1 = vrmlaldavhq(vecA1, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + + pOut[0 * MATRIX_DIM2] = (q31_t) acc0; + pOut[1 * MATRIX_DIM2] = (q31_t) acc1; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + + + +__STATIC_INLINE arm_status arm_mat_mult_q31_3x3_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs; + q31_t *pInA0 = pInA; + q31_t *pInA1 = pInA0 + MATRIX_DIM3; + q31_t *pInA2 = pInA1 + MATRIX_DIM3; + q63_t acc0, acc1, acc2; + q31x4_t vecB, vecA; + /* enable predication to disable last (4th) vector element */ + mve_pred16_t p0 = vctp32q(MATRIX_DIM3); + + vecColBOffs = vidupq_u32((uint32_t)0, 1); + vecColBOffs = vecColBOffs * MATRIX_DIM3; + + pInB = pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + pOut[0 * MATRIX_DIM3] = (q31_t) acc0; + pOut[1 * MATRIX_DIM3] = (q31_t) acc1; + pOut[2 * MATRIX_DIM3] = (q31_t) acc2; + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + pOut[0 * MATRIX_DIM3] = (q31_t) acc0; + pOut[1 * MATRIX_DIM3] = (q31_t) acc1; + pOut[2 * MATRIX_DIM3] = (q31_t) acc2; + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_z_s32(pInB, vecColBOffs, p0); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + + pOut[0 * MATRIX_DIM3] = (q31_t) acc0; + pOut[1 * MATRIX_DIM3] = (q31_t) acc1; + pOut[2 * MATRIX_DIM3] = (q31_t) acc2; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_mult_q31_4x4_mve( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32x4_t vecColBOffs; + q31_t *pInA0 = pInA; + q31_t *pInA1 = pInA0 + MATRIX_DIM4; + q31_t *pInA2 = pInA1 + MATRIX_DIM4; + q31_t *pInA3 = pInA2 + MATRIX_DIM4; + q63_t acc0, acc1, acc2, acc3; + q31x4_t vecB, vecA; + + vecColBOffs = vidupq_u32((uint32_t)0, 4); + + pInB = pSrcB->pData; + + vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA3); + acc3 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + pOut[0 * MATRIX_DIM4] = (q31_t) acc0; + pOut[1 * MATRIX_DIM4] = (q31_t) acc1; + pOut[2 * MATRIX_DIM4] = (q31_t) acc2; + pOut[3 * MATRIX_DIM4] = (q31_t) acc3; + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA3); + acc3 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + pOut[0 * MATRIX_DIM4] = (q31_t) acc0; + pOut[1 * MATRIX_DIM4] = (q31_t) acc1; + pOut[2 * MATRIX_DIM4] = (q31_t) acc2; + pOut[3 * MATRIX_DIM4] = (q31_t) acc3; + + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA3); + acc3 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + pOut[0 * MATRIX_DIM4] = (q31_t) acc0; + pOut[1 * MATRIX_DIM4] = (q31_t) acc1; + pOut[2 * MATRIX_DIM4] = (q31_t) acc2; + pOut[3 * MATRIX_DIM4] = (q31_t) acc3; + + pOut++; + + /* move to next B column */ + pInB = pInB + 1; + + vecB = vldrwq_gather_shifted_offset_s32(pInB, vecColBOffs); + + vecA = vldrwq_s32(pInA0); + acc0 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA1); + acc1 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA2); + acc2 = vrmlaldavhq(vecA, vecB); + vecA = vldrwq_s32(pInA3); + acc3 = vrmlaldavhq(vecA, vecB); + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + pOut[0 * MATRIX_DIM4] = (q31_t) acc0; + pOut[1 * MATRIX_DIM4] = (q31_t) acc1; + pOut[2 * MATRIX_DIM4] = (q31_t) acc2; + pOut[3 * MATRIX_DIM4] = (q31_t) acc3; + /* + * Return to application + */ + return (ARM_MATH_SUCCESS); +} + +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t const *pInB = (q31_t const *)pSrcB->pData; /* input data matrix pointer B */ + q31_t const *pInA = (q31_t const *)pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + uint32x4_t vecOffs, vecColBOffs; + uint32_t blkCnt, rowCnt; /* loop counters */ + + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* small squared matrix specialized routines */ + if(numRowsA == numColsB && numColsB == numColsA) { + if (numRowsA == 1) + { + q63_t sum = (q63_t) *pInA * *pInB; + pOut[0] = (q31_t)(sum >> 31); + return (ARM_MATH_SUCCESS); + } + else if(numRowsA == 2) + return arm_mat_mult_q31_2x2_mve(pSrcA, pSrcB, pDst); + else if(numRowsA == 3) + return arm_mat_mult_q31_3x3_mve(pSrcA, pSrcB, pDst); + else if (numRowsA == 4) + return arm_mat_mult_q31_4x4_mve(pSrcA, pSrcB, pDst); + } + + vecColBOffs = vidupq_u32((uint32_t)0, 1); + vecColBOffs = vecColBOffs * (uint32_t) (numColsB); + + /* + * The following loop performs the dot-product of each row in pSrcA with each column in pSrcB + */ + + /* + * row loop + */ + rowCnt = row >> 2; + while (rowCnt > 0U) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i; + i = i + 4 * numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (q31_t const *)pSrcB->pData; + /* + * column loop + */ + while (col > 0U) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q31_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec; + q31_t const *pInA0 = pInA; + q31_t const *pInA1 = pInA0 + numColsA; + q31_t const *pInA2 = pInA1 + numColsA; + q31_t const *pInA3 = pInA2 + numColsA; + q63_t acc0, acc1, acc2, acc3; + + acc0 = 0LL; + acc1 = 0LL; + acc2 = 0LL; + acc3 = 0LL; + + pSrcA0Vec = (q31_t const *) pInA0; + pSrcA1Vec = (q31_t const *) pInA1; + pSrcA2Vec = (q31_t const *) pInA2; + pSrcA3Vec = (q31_t const *) pInA3; + + vecOffs = vecColBOffs; + + /* process 1 x 4 block output */ + blkCnt = numColsA >> 2; + while (blkCnt > 0U) + { + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* move Matrix B read offsets, 4 rows down */ + vecOffs = vecOffs + (uint32_t) (numColsB * 4); + + vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4; + acc0 = vrmlaldavhaq(acc0, vecA, vecB); + vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4; + acc1 = vrmlaldavhaq(acc1, vecA, vecB); + vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4; + acc2 = vrmlaldavhaq(acc2, vecA, vecB); + vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4; + acc3 = vrmlaldavhaq(acc3, vecA, vecB); + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numColsA & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + //vecOffs = vecOffs + (uint32_t) (numColsB * 4); + + vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4; + acc0 = vrmlaldavhaq(acc0, vecA, vecB); + vecA = vld1q(pSrcA1Vec); pSrcA1Vec += 4; + acc1 = vrmlaldavhaq(acc1, vecA, vecB); + vecA = vld1q(pSrcA2Vec); pSrcA2Vec += 4; + acc2 = vrmlaldavhaq(acc2, vecA, vecB); + vecA = vld1q(pSrcA3Vec); pSrcA3Vec += 4; + acc3 = vrmlaldavhaq(acc3, vecA, vecB); + } + + acc0 = asrl(acc0, 23); + acc1 = asrl(acc1, 23); + acc2 = asrl(acc2, 23); + acc3 = asrl(acc3, 23); + + px[0] = (q31_t) acc0; + px[1 * numColsB] = (q31_t) acc1; + px[2 * numColsB] = (q31_t) acc2; + px[3 * numColsB] = (q31_t) acc3; + px++; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (q31_t const *)pSrcB->pData + (numColsB - col); + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += (numColsA * 4); + /* + * Decrement the row loop counter + */ + rowCnt --; + + } + rowCnt = row & 3; + while (rowCnt > 0U) + { + /* + * Output pointer is set to starting address of the row being processed + */ + px = pOut + i; + i = i + numColsB; + /* + * For every row wise process, the column loop counter is to be initiated + */ + col = numColsB; + /* + * For every row wise process, the pInB pointer is set + * to the starting address of the pSrcB data + */ + pInB = (q31_t const *)pSrcB->pData; + /* + * column loop + */ + while (col > 0U) + { + /* + * generate 4 columns elements + */ + /* + * Matrix A columns number of MAC operations are to be performed + */ + colCnt = numColsA; + + q31_t const *pSrcA0Vec; + q31_t const *pInA0 = pInA; + q63_t acc0; + + acc0 = 0LL; + + + pSrcA0Vec = (q31_t const *) pInA0; + + vecOffs = vecColBOffs; + + /* process 1 x 4 block output */ + blkCnt = numColsA >> 2; + while (blkCnt > 0U) + { + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset(pInB, vecOffs); + /* move Matrix B read offsets, 4 rows down */ + vecOffs = vecOffs + (uint32_t) (numColsB * 4); + + vecA = vld1q(pSrcA0Vec); pSrcA0Vec += 4; + acc0 = vrmlaldavhaq(acc0, vecA, vecB); + + blkCnt--; + } + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numColsA & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + q31x4_t vecB, vecA; + + vecB = vldrwq_gather_shifted_offset_z(pInB, vecOffs, p0); + //vecOffs = vecOffs + (uint32_t) (numColsB * 4); + + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vrmlaldavhaq(acc0, vecA, vecB); + + } + + acc0 = asrl(acc0, 23); + + + px[0] = (q31_t) acc0; + px++; + /* + * Decrement the column loop counter + */ + col--; + /* + * Update the pointer pInB to point to the starting address of the next column + */ + pInB = (q31_t const *)pSrcB->pData + (numColsB - col); + } + + /* + * Update the pointer pInA to point to the starting address of the next row + */ + pInA += numColsA; + /* + * Decrement the row loop counter + */ + rowCnt--; + } + + /* + * set status as ARM_MATH_SUCCESS + */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* Input data matrix pointer A */ + q31_t *pInB = pSrcB->pData; /* Input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* Output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + q63_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */ + uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */ + arm_status status; /* Status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || + (pSrcB->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of row being processed */ + px = pOut + i; + + /* For every row wise process, column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initialize pointer pIn1 to point to starting address of column being processed */ + pIn1 = pInA; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 MACs at a time. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* Perform the multiply-accumulates */ + sum += (q63_t) *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += (q63_t) *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += (q63_t) *pIn1++ * *pIn2; + pIn2 += numColsB; + + sum += (q63_t) *pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Loop unrolling: Compute remaining MACs */ + colCnt = numColsA % 0x4U; + +#else + + /* Initialize cntCnt with number of columns */ + colCnt = numColsA; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */ + + /* Perform the multiply-accumulates */ + sum += (q63_t) *pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement loop counter */ + colCnt--; + } + + /* Convert result from 2.62 to 1.31 format and store in destination buffer */ + *px++ = (q31_t) (sum >> 31); + + /* Decrement column loop counter */ + col--; + + /* Update pointer pIn2 to point to starting address of next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + + /* Update pointer pInA to point to starting address of next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixMult group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_f32.c new file mode 100644 index 0000000..51c761b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_f32.c @@ -0,0 +1,287 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_f32.c + * Description: Multiplies a floating-point matrix by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixScale Matrix Scale + + Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the + matrix by the scalar. For example: + \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix" + + The function checks to make sure that the input and output matrices are of the same size. + + In the fixed-point Q15 and Q31 functions, scale is represented by + a fractional multiplication scaleFract and an arithmetic shift shift. + The shift allows the gain of the scaling operation to exceed 1.0. + The overall scale factor applied to the fixed-point data is + 
+      scale = scaleFract * 2^shift.
+
+ */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Floating-point matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scale scale factor to be applied + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; /* status of matrix scaling */ + #ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecIn, vecOut; + float32_t const *pInVec; + + pInVec = (float32_t const *) pIn; + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* + * C(m,n) = A(m,n) * scale + * Scaling and results are stored in the destination buffer. + */ + vecIn = vld1q(pInVec); + pInVec += 4; + + vecOut = vecIn * scale; + + vst1q(pOut, vecOut); + pOut += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vld1q(pInVec); + vecOut = vecIn * scale; + + vstrwq_p(pOut, vecOut, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32x4_t vec1; + float32x4_t res; + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + + blkCnt = numSamples >> 2; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* Scaling and results are stored in the destination buffer. */ + vec1 = vld1q_f32(pIn); + res = vmulq_f32(vec1, vdupq_n_f32(scale)); + vst1q_f32(pOut, res); + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* The results are stored in the destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* Input data matrix pointer */ + float32_t *pOut = pDst->pData; /* Output data matrix pointer */ + uint32_t numSamples; /* Total number of elements in the matrix */ + uint32_t blkCnt; /* Loop counters */ + arm_status status; /* Status of matrix scaling */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + + /* Scale and store result in destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixScale group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q15.c new file mode 100644 index 0000000..6177ecd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q15.c @@ -0,0 +1,249 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q15.c + * Description: Multiplies a Q15 matrix by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Q15 matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scaleFract fractional portion of the scale factor + @param[in] shift number of bits to shift the result by + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The input data *pSrc and scaleFract are in 1.15 format. + These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst) +{ + arm_status status; /* Status of matrix scaling */ + q15_t *pIn = pSrc->pData; /* input data matrix pointer */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecIn, vecOut; + q15_t const *pInVec; + int32_t totShift = shift + 1; /* shift to apply after scaling */ + + pInVec = (q15_t const *) pIn; + + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + blkCnt = numSamples >> 3; + while (blkCnt > 0U) + { + /* + * C(m,n) = A(m,n) * scale + * Scaling and results are stored in the destination buffer. + */ + vecIn = vld1q(pInVec); pInVec += 8; + + /* multiply input with scaler value */ + vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract)); + /* apply shifting */ + vecOut = vqshlq_r(vecOut, totShift); + + vst1q(pOut, vecOut); pOut += 8; + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numSamples & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecIn = vld1q(pInVec); pInVec += 8; + vecOut = vmulhq(vecIn, vdupq_n_s16(scaleFract)); + vecOut = vqshlq_r(vecOut, totShift); + vstrhq_p(pOut, vecOut, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pIn = pSrc->pData; /* Input data matrix pointer */ + q15_t *pOut = pDst->pData; /* Output data matrix pointer */ + uint32_t numSamples; /* Total number of elements in the matrix */ + uint32_t blkCnt; /* Loop counter */ + arm_status status; /* Status of matrix scaling */ + int32_t kShift = 15 - shift; /* Total shift to apply after scaling */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t inA1, inA2; + q31_t out1, out2, out3, out4; /* Temporary output variables */ + q15_t in1, in2, in3, in4; /* Temporary input variables */ +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + +#if defined (ARM_MATH_DSP) + /* read 2 times 2 samples at a time from source */ + inA1 = read_q15x2_ia ((q15_t **) &pIn); + inA2 = read_q15x2_ia ((q15_t **) &pIn); + + /* Scale inputs and store result in temporary variables + * in single cycle by packing the outputs */ + out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); + out2 = (q31_t) ((q15_t) (inA1 ) * scaleFract); + out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); + out4 = (q31_t) ((q15_t) (inA2 ) * scaleFract); + + /* apply shifting */ + out1 = out1 >> kShift; + out2 = out2 >> kShift; + out3 = out3 >> kShift; + out4 = out4 >> kShift; + + /* saturate the output */ + in1 = (q15_t) (__SSAT(out1, 16)); + in2 = (q15_t) (__SSAT(out2, 16)); + in3 = (q15_t) (__SSAT(out3, 16)); + in4 = (q15_t) (__SSAT(out4, 16)); + + /* store result to destination */ + write_q15x2_ia (&pOut, __PKHBT(in2, in1, 16)); + write_q15x2_ia (&pOut, __PKHBT(in4, in3, 16)); + +#else + *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16)); + *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16)); + *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16)); + *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16)); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + + /* Scale, saturate and store result in destination buffer. */ + *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixScale group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q31.c new file mode 100644 index 0000000..1fb859f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_scale_q31.c @@ -0,0 +1,242 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q31.c + * Description: Multiplies a Q31 matrix by a scalar + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixScale + @{ + */ + +/** + @brief Q31 matrix scaling. + @param[in] pSrc points to input matrix + @param[in] scaleFract fractional portion of the scale factor + @param[in] shift number of bits to shift the result by + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The input data *pSrc and scaleFract are in 1.31 format. + These are multiplied to yield a 2.62 intermediate result which is shifted with saturation to 1.31 format. + */ +#if defined(ARM_MATH_MVEI) +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn = pSrc->pData; /* input data matrix pointer */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecIn, vecOut; + q31_t const *pInVec; + int32_t totShift = shift + 1; /* shift to apply after scaling */ + arm_status status; /* Status of matrix scaling */ + + pInVec = (q31_t const *) pIn; + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* + * C(m,n) = A(m,n) * scale + * Scaling and results are stored in the destination buffer. + */ + vecIn = vld1q(pInVec); + pInVec += 4; + /* multiply input with scaler value */ + vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract)); + /* apply shifting */ + vecOut = vqshlq_r(vecOut, totShift); + + vst1q(pOut, vecOut); + pOut += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vld1q(pInVec); + pInVec += 4; + vecOut = vmulhq(vecIn, vdupq_n_s32(scaleFract)); + vecOut = vqshlq_r(vecOut, totShift); + vstrwq_p(pOut, vecOut, p0); + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn = pSrc->pData; /* Input data matrix pointer */ + q31_t *pOut = pDst->pData; /* Output data matrix pointer */ + uint32_t numSamples; /* Total number of elements in the matrix */ + uint32_t blkCnt; /* Loop counter */ + arm_status status; /* Status of matrix scaling */ + int32_t kShift = shift + 1; /* Shift to apply after scaling */ + q31_t in, out; /* Temporary variabels */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || + (pSrc->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + + /* Scale, saturate and store result in destination buffer. */ + in = *pIn++; /* read four inputs from source */ + in = ((q63_t) in * scaleFract) >> 32; /* multiply input with scaler value */ + out = in << kShift; /* apply shifting */ + if (in != (out >> kShift)) /* saturate the results. */ + out = 0x7FFFFFFF ^ (in >> 31); + *pOut++ = out; /* Store result destination */ + + in = *pIn++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pOut++ = out; + + in = *pIn++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pOut++ = out; + + in = *pIn++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pOut++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + + /* Scale, saturate and store result in destination buffer. */ + in = *pIn++; + in = ((q63_t) in * scaleFract) >> 32; + out = in << kShift; + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + *pOut++ = out; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixScale group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_f32.c new file mode 100644 index 0000000..35fc551 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_f32.c @@ -0,0 +1,298 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_f32.c + * Description: Floating-point matrix subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixSub Matrix Subtraction + + Subtract two matrices. + \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices" + + The functions check to make sure that + pSrcA, pSrcB, and pDst have the same + number of rows and columns. + */ + +/** + @addtogroup MatrixSub + @{ + */ + +/** + @brief Floating-point matrix subtraction. + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; /* status of matrix subtraction */ + uint32_t numSamples; /* total number of elements in the matrix */ + float32_t *pDataA, *pDataB, *pDataDst; + f32x4_t vecA, vecB, vecDst; + float32_t const *pSrcAVec; + float32_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (float32_t const *) pDataA; + pSrcBVec = (float32_t const *) pDataB; + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* sub and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vsubq(vecA, vecB); + vst1q(pDataDst, vecDst); + pDataDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcAVec); + vecB = vld1q(pSrcBVec); + vecDst = vsubq_m(vecDst, vecA, vecB, p0); + vstrwq_p(pDataDst, vecDst, p0); + } + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +#if defined(ARM_MATH_NEON) +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + float32x4_t vec1; + float32x4_t vec2; + float32x4_t res; + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + + blkCnt = numSamples >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + /* Read values from source A */ + vec1 = vld1q_f32(pIn1); + vec2 = vld1q_f32(pIn2); + res = vsubq_f32(vec1, vec2); + vst1q_f32(pOut, res); + + /* Update pointers to process next samples */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + *pOut++ = (*pIn1++) - (*pIn2++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract and store result in destination buffer. */ + *pOut++ = (*pInA++) - (*pInB++); + *pOut++ = (*pInA++) - (*pInB++); + *pOut++ = (*pInA++) - (*pInB++); + *pOut++ = (*pInA++) - (*pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract and store result in destination buffer. */ + *pOut++ = (*pInA++) - (*pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of MatrixSub group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q15.c new file mode 100644 index 0000000..b0c7bf3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q15.c @@ -0,0 +1,219 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_q15.c + * Description: Q15 Matrix subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixSub + @{ + */ + +/** + @brief Q15 matrix subtraction. + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) + +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + uint32_t numSamples; /* total number of elements in the matrix */ + q15_t *pDataA, *pDataB, *pDataDst; + q15x8_t vecA, vecB, vecDst; + q15_t const *pSrcAVec; + q15_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (q15_t const *) pDataA; + pSrcBVec = (q15_t const *) pDataB; + + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 3; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* sub and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); pSrcAVec += 8; + vecB = vld1q(pSrcBVec); pSrcBVec += 8; + vecDst = vqsubq(vecA, vecB); + vst1q(pDataDst, vecDst); pDataDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecA = vld1q(pSrcAVec); pSrcAVec += 8; + vecB = vld1q(pSrcBVec); pSrcBVec += 8; + vecDst = vqsubq_m(vecDst, vecA, vecB, p0); + vstrhq_p(pDataDst, vecDst, p0); + } + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract, Saturate and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB))); + write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB))); +#else + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract and store result in destination buffer. */ +#if defined (ARM_MATH_DSP) + *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++); +#else + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); +#endif + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixSub group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q31.c new file mode 100644 index 0000000..6f332b2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_sub_q31.c @@ -0,0 +1,218 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_q31.c + * Description: Q31 matrix subtraction + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixSub + @{ + */ + +/** + @brief Q31 matrix subtraction. + @param[in] pSrcA points to the first input matrix structure + @param[in] pSrcB points to the second input matrix structure + @param[out] pDst points to output matrix structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ +#if defined(ARM_MATH_MVEI) +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + uint32_t numSamples; /* total number of elements in the matrix */ + q31_t *pDataA, *pDataB, *pDataDst; + q31x4_t vecA, vecB, vecDst; + q31_t const *pSrcAVec; + q31_t const *pSrcBVec; + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + + pDataA = pSrcA->pData; + pDataB = pSrcB->pData; + pDataDst = pDst->pData; + pSrcAVec = (q31_t const *) pDataA; + pSrcBVec = (q31_t const *) pDataB; + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + + /* + * Total number of samples in the input matrix + */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + blkCnt = numSamples >> 2; + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* sub and then store the results in the destination buffer. */ + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vqsubq(vecA, vecB); + vst1q(pDataDst, vecDst); + pDataDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = numSamples & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecA = vld1q(pSrcAVec); + pSrcAVec += 4; + vecB = vld1q(pSrcBVec); + pSrcBVec += 4; + vecDst = vqsubq_m(vecDst, vecA, vecB, p0); + vstrwq_p(pDataDst, vecDst, p0); + } + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || + (pSrcA->numCols != pDst->numCols) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = numSamples >> 2U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract, saturate and then store the results in the destination buffer. */ + *pOut++ = __QSUB(*pInA++, *pInB++); + + *pOut++ = __QSUB(*pInA++, *pInB++); + + *pOut++ = __QSUB(*pInA++, *pInB++); + + *pOut++ = __QSUB(*pInA++, *pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = numSamples % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + + /* Subtract, saturate and store result in destination buffer. */ + *pOut++ = __QSUB(*pInA++, *pInB++); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixSub group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_f32.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_f32.c new file mode 100644 index 0000000..096cc77 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_f32.c @@ -0,0 +1,325 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_f32.c + * Description: Floating-point matrix transpose + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @defgroup MatrixTrans Matrix Transpose + + Tranposes a matrix. + + Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix. + \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix" + */ + +/** + @addtogroup MatrixTrans + @{ + */ + +/** + @brief Floating-point matrix transpose. + @param[in] pSrc points to input matrix + @param[out] pDst points to output matrix + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + arm_status status; /* status of matrix transpose */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + if (pDst->numRows == pDst->numCols) + { + if (pDst->numCols == 2) + return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + if (pDst->numCols == 3) + return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + if (pDst->numCols == 4) + return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + } + + arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +#else +#if defined(ARM_MATH_NEON) + +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of rows */ + uint16_t nColumns = pSrc->numCols; /* number of columns */ + + uint16_t blkCnt, rowCnt, i = 0U, row = nRows; /* loop counters */ + arm_status status; /* status of matrix transpose */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* Row loop */ + rowCnt = row >> 2; + while (rowCnt > 0U) + { + float32x4_t row0V,row1V,row2V,row3V; + float32x4x2_t ra0,ra1,rb0,rb1; + + blkCnt = nColumns >> 2; + + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) /* Column loop */ + { + row0V = vld1q_f32(pIn); + row1V = vld1q_f32(pIn + 1 * nColumns); + row2V = vld1q_f32(pIn + 2 * nColumns); + row3V = vld1q_f32(pIn + 3 * nColumns); + pIn += 4; + + ra0 = vzipq_f32(row0V,row2V); + ra1 = vzipq_f32(row1V,row3V); + + rb0 = vzipq_f32(ra0.val[0],ra1.val[0]); + rb1 = vzipq_f32(ra0.val[1],ra1.val[1]); + + vst1q_f32(px,rb0.val[0]); + px += nRows; + + vst1q_f32(px,rb0.val[1]); + px += nRows; + + vst1q_f32(px,rb1.val[0]); + px += nRows; + + vst1q_f32(px,rb1.val[1]); + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + + /* Perform matrix transpose for last 3 samples here. */ + blkCnt = nColumns % 0x4U; + + while (blkCnt > 0U) + { + /* Read and store the input element in the destination */ + *px++ = *pIn; + *px++ = *(pIn + 1 * nColumns); + *px++ = *(pIn + 2 * nColumns); + *px++ = *(pIn + 3 * nColumns); + + px += (nRows - 4); + pIn++; + + /* Decrement the column loop counter */ + blkCnt--; + } + + i += 4; + pIn += 3 * nColumns; + + /* Decrement the row loop counter */ + rowCnt--; + + } /* Row loop end */ + + rowCnt = row & 3; + while (rowCnt > 0U) + { + blkCnt = nColumns ; + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + while (blkCnt > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + i++; + rowCnt -- ; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of rows */ + uint16_t nCols = pSrc->numCols; /* number of columns */ + uint32_t col, row = nRows, i = 0U; /* Loop counters */ + arm_status status; /* status of matrix transpose */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || + (pSrc->numCols != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* Pointer px is set to starting address of column being processed */ + px = pOut + i; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + col = nCols >> 2U; + + while (col > 0U) /* column loop */ + { + /* Read and store input element in destination */ + *px = *pIn++; + /* Update pointer px to point to next row of transposed matrix */ + px += nRows; + + *px = *pIn++; + px += nRows; + + *px = *pIn++; + px += nRows; + + *px = *pIn++; + px += nRows; + + /* Decrement column loop counter */ + col--; + } + + /* Loop unrolling: Compute remaining outputs */ + col = nCols % 0x4U; + +#else + + /* Initialize col with number of samples */ + col = nCols; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (col > 0U) + { + /* Read and store input element in destination */ + *px = *pIn++; + + /* Update pointer px to point to next row of transposed matrix */ + px += nRows; + + /* Decrement column loop counter */ + col--; + } + + i++; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); /* row loop end */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of MatrixTrans group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q15.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q15.c new file mode 100644 index 0000000..87df9bf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q15.c @@ -0,0 +1,348 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_q15.c + * Description: Q15 matrix transpose + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixTrans + @{ + */ + +/** + @brief Q15 matrix transpose. + @param[in] pSrc points to input matrix + @param[out] pDst points to output matrix + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ + +#if defined(ARM_MATH_MVEI) + +__STATIC_INLINE arm_status arm_mat_trans_16bit_2x2(uint16_t * pDataSrc, uint16_t * pDataDest) +{ + pDataDest[0] = pDataSrc[0]; + pDataDest[3] = pDataSrc[3]; + pDataDest[2] = pDataSrc[1]; + pDataDest[1] = pDataSrc[2]; + + return (ARM_MATH_SUCCESS); +} + +static arm_status arm_mat_trans_16bit_3x3_mve(uint16_t * pDataSrc, uint16_t * pDataDest) +{ + static const uint16_t stridesTr33[8] = { 0, 3, 6, 1, 4, 7, 2, 5 }; + uint16x8_t vecOffs1; + uint16x8_t vecIn1; + /* + * + * | 0 1 2 | | 0 3 6 | 8 x 16 flattened version | 0 3 6 1 4 7 2 5 | + * | 3 4 5 | => | 1 4 7 | => | 8 . . . . . . . | + * | 6 7 8 | | 2 5 8 | (row major) + * + */ + vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr33); + vecIn1 = vldrhq_u16((uint16_t const *) pDataSrc); + + vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1); + + pDataDest[8] = pDataSrc[8]; + + return (ARM_MATH_SUCCESS); +} + + +static arm_status arm_mat_trans_16bit_4x4_mve(uint16_t * pDataSrc, uint16_t * pDataDest) +{ + static const uint16_t stridesTr44_1[8] = { 0, 4, 8, 12, 1, 5, 9, 13 }; + static const uint16_t stridesTr44_2[8] = { 2, 6, 10, 14, 3, 7, 11, 15 }; + uint16x8_t vecOffs1, vecOffs2; + uint16x8_t vecIn1, vecIn2; + uint16_t const * pDataSrcVec = (uint16_t const *) pDataSrc; + + /* + * 4x4 Matrix transposition + * + * | 0 1 2 3 | | 0 4 8 12 | 8 x 16 flattened version + * | 4 5 6 7 | => | 1 5 9 13 | => [0 4 8 12 1 5 9 13] + * | 8 9 10 11 | | 2 6 10 14 | [2 6 10 14 3 7 11 15] + * | 12 13 14 15 | | 3 7 11 15 | + */ + + vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr44_1); + vecOffs2 = vldrhq_u16((uint16_t const *) stridesTr44_2); + vecIn1 = vldrhq_u16(pDataSrcVec); + pDataSrcVec += 8; + vecIn2 = vldrhq_u16(pDataSrcVec); + + vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1); + vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs2, vecIn2); + + + return (ARM_MATH_SUCCESS); +} + + + +static arm_status arm_mat_trans_16bit_generic( + uint16_t srcRows, + uint16_t srcCols, + uint16_t * pDataSrc, + uint16_t * pDataDest) +{ + uint16x8_t vecOffs; + uint32_t i; + uint32_t blkCnt; + uint16_t const *pDataC; + uint16_t *pDataDestR; + uint16x8_t vecIn; + + vecOffs = vidupq_u16((uint32_t)0, 1); + vecOffs = vecOffs * srcCols; + + i = srcCols; + while(i > 0U) + { + pDataC = (uint16_t const *) pDataSrc; + pDataDestR = pDataDest; + + blkCnt = srcRows >> 3; + while (blkCnt > 0U) + { + vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs); + vstrhq_u16(pDataDestR, vecIn); + pDataDestR += 8; + pDataC = pDataC + srcCols * 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = srcRows & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs); + vstrhq_p_u16(pDataDestR, vecIn, p0); + } + pDataSrc += 1; + pDataDest += srcRows; + i--; + } + + return (ARM_MATH_SUCCESS); +} + + +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst) +{ + arm_status status; /* status of matrix transpose */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || + (pSrc->numCols != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + if (pDst->numRows == pDst->numCols) + { + if (pDst->numCols == 1) + { + pDst->pData[0] = pSrc->pData[0]; + return(ARM_MATH_SUCCESS); + } + if (pDst->numCols == 2) + return arm_mat_trans_16bit_2x2((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData); + if (pDst->numCols == 3) + return arm_mat_trans_16bit_3x3_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData); + if (pDst->numCols == 4) + return arm_mat_trans_16bit_4x4_mve((uint16_t *)pSrc->pData, (uint16_t *)pDst->pData); + } + + arm_mat_trans_16bit_generic(pSrc->numRows, pSrc->numCols, (uint16_t *)pSrc->pData, (uint16_t *)pDst->pData); + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pIn = pSrc->pData; /* input data matrix pointer */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of rows */ + uint16_t nCols = pSrc->numCols; /* number of columns */ + uint32_t col, row = nRows, i = 0U; /* Loop counters */ + arm_status status; /* status of matrix transpose */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in; /* variable to hold temporary output */ +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || + (pSrc->numCols != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* Pointer pOut is set to starting address of column being processed */ + pOut = pDst->pData + i; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + col = nCols >> 2U; + + while (col > 0U) /* column loop */ + { + /* Read two elements from row */ + in = read_q15x2_ia ((q15_t **) &pIn); + + /* Unpack and store one element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *pOut = (q15_t) in; +#else + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer pOut to point to next row of transposed matrix */ + pOut += nRows; + + /* Unpack and store second element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *pOut = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer pOut to point to next row of transposed matrix */ + pOut += nRows; + + /* Read two elements from row */ + in = read_q15x2_ia ((q15_t **) &pIn); + + /* Unpack and store one element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *pOut = (q15_t) in; +#else + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer pOut to point to next row of transposed matrix */ + pOut += nRows; + + /* Unpack and store second element in destination */ +#ifndef ARM_MATH_BIG_ENDIAN + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); +#else + *pOut = (q15_t) in; +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update pointer pOut to point to next row of transposed matrix */ + pOut += nRows; + + /* Decrement column loop counter */ + col--; + } + + /* Loop unrolling: Compute remaining outputs */ + col = nCols % 0x4U; + +#else + + /* Initialize col with number of samples */ + col = nCols; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (col > 0U) + { + /* Read and store input element in destination */ + *pOut = *pIn++; + + /* Update pointer pOut to point to next row of transposed matrix */ + pOut += nRows; + + /* Decrement column loop counter */ + col--; + } + + i++; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); /* row loop end */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixTrans group + */ diff --git a/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q31.c b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q31.c new file mode 100644 index 0000000..9d92abd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/MatrixFunctions/arm_mat_trans_q31.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_q31.c + * Description: Q31 matrix transpose + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupMatrix + */ + +/** + @addtogroup MatrixTrans + @{ + */ + +/** + @brief Q31 matrix transpose. + @param[in] pSrc points to input matrix + @param[out] pDst points to output matrix + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst) +{ + arm_status status; /* status of matrix transpose */ + #ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || + (pSrc->numCols != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + if (pDst->numRows == pDst->numCols) + { + if (pDst->numCols == 2) + return arm_mat_trans_32bit_2x2_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + if (pDst->numCols == 3) + return arm_mat_trans_32bit_3x3_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + if (pDst->numCols == 4) + return arm_mat_trans_32bit_4x4_mve((uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + } + + arm_mat_trans_32bit_generic_mve(pSrc->numRows, pSrc->numCols, (uint32_t *)pSrc->pData, (uint32_t *)pDst->pData); + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#else +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn = pSrc->pData; /* input data matrix pointer */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of rows */ + uint16_t nCols = pSrc->numCols; /* number of columns */ + uint32_t col, row = nRows, i = 0U; /* Loop counters */ + arm_status status; /* status of matrix transpose */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || + (pSrc->numCols != pDst->numRows) ) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else + +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* Pointer px is set to starting address of column being processed */ + px = pOut + i; + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + col = nCols >> 2U; + + while (col > 0U) /* column loop */ + { + /* Read and store input element in destination */ + *px = *pIn++; + /* Update pointer px to point to next row of transposed matrix */ + px += nRows; + + *px = *pIn++; + px += nRows; + + *px = *pIn++; + px += nRows; + + *px = *pIn++; + px += nRows; + + /* Decrement column loop counter */ + col--; + } + + /* Loop unrolling: Compute remaining outputs */ + col = nCols % 0x4U; + +#else + + /* Initialize col with number of samples */ + col = nCols; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (col > 0U) + { + /* Read and store input element in destination */ + *px = *pIn++; + + /* Update pointer px to point to next row of transposed matrix */ + px += nRows; + + /* Decrement column loop counter */ + col--; + } + + i++; + + /* Decrement row loop counter */ + row--; + + } while (row > 0U); /* row loop end */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of MatrixTrans group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/SVMFunctions/CMakeLists.txt new file mode 100644 index 0000000..2a54738 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/CMakeLists.txt @@ -0,0 +1,20 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPSVM) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPSVM STATIC ${SRC}) + +configLib(CMSISDSPSVM ${ROOT}) +configDsp(CMSISDSPSVM ${ROOT}) + +### Includes +target_include_directories(CMSISDSPSVM PUBLIC "${DSP}/Include") + + + + diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/SVMFunctions.c b/Firmware/cmsis/dsp/Source/SVMFunctions/SVMFunctions.c new file mode 100644 index 0000000..85f19b9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/SVMFunctions.c @@ -0,0 +1,36 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: BayesFunctions.c + * Description: Combination of all SVM function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_svm_linear_init_f32.c" +#include "arm_svm_linear_predict_f32.c" +#include "arm_svm_polynomial_init_f32.c" +#include "arm_svm_polynomial_predict_f32.c" +#include "arm_svm_rbf_init_f32.c" +#include "arm_svm_rbf_predict_f32.c" +#include "arm_svm_sigmoid_init_f32.c" +#include "arm_svm_sigmoid_predict_f32.c" diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_init_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_init_f32.c new file mode 100644 index 0000000..6b75b1f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_init_f32.c @@ -0,0 +1,81 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_linear_init_f32.c + * Description: SVM Linear Instance Initialization + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +/** + * @defgroup groupSVM SVM Functions + * + */ + + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM linear instance init function + * + * Classes are integer used as output of the function (instead of having -1,1 + * as class values). + * + * @param[in] S Parameters for the SVM function + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @return none. + * + */ + + +void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes) +{ + S->nbOfSupportVectors = nbOfSupportVectors; + S->vectorDimension = vectorDimension; + S->intercept = intercept; + S->dualCoefficients = dualCoefficients; + S->supportVectors = supportVectors; + S->classes = classes; +} + + + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_predict_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_predict_f32.c new file mode 100644 index 0000000..17dd5d2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_linear_predict_f32.c @@ -0,0 +1,453 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_linear_predict_f32.c + * Description: SVM Linear Classifier + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM linear prediction + * @param[in] S Pointer to an instance of the linear SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_svm_linear_predict_f32( + const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + /* inlined Matrix x Vector function interleaved with dot prod */ + uint32_t numRows = S->nbOfSupportVectors; + uint32_t numCols = S->vectorDimension; + const float32_t *pSupport = S->supportVectors; + const float32_t *pSrcA = pSupport; + const float32_t *pInA0; + const float32_t *pInA1; + uint32_t row; + uint32_t blkCnt; /* loop counters */ + const float32_t *pDualCoef = S->dualCoefficients; + float32_t sum = S->intercept; + row = numRows; + + /* + * compute 4 rows in parrallel + */ + while (row >= 4) + { + const float32_t *pInA2, *pInA3; + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec; + f32x4_t vecIn, acc0, acc1, acc2, acc3; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 4 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + pInA2 = pInA1 + numCols; + pInA3 = pInA2 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + acc2 = vdupq_n_f32(0.0f); + acc3 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + pSrcA2Vec = pInA2; + pSrcA3Vec = pInA3; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vld1q(pSrcA2Vec); + pSrcA2Vec += 4; + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vld1q(pSrcA3Vec); + pSrcA3Vec += 4; + acc3 = vfmaq(acc3, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA2Vec, p0); + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA3Vec, p0); + acc3 = vfmaq(acc3, vecIn, vecA); + } + /* + * Sum the partial parts + */ + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc0); + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc1); + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc2); + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc3); + + pSrcA += numCols * 4; + /* + * Decrement the row loop counter + */ + row -= 4; + } + + /* + * compute 2 rows in parallel + */ + if (row >= 2) { + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec; + f32x4_t vecIn, acc0, acc1; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 2 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + } + /* + * Sum the partial parts + */ + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc0); + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc1); + + pSrcA += numCols * 2; + row -= 2; + } + + if (row >= 1) { + f32x4_t vecIn, acc0; + float32_t const *pSrcA0Vec, *pInVec; + float32_t const *pSrcVecPtr = in; + /* + * Initialize the pointers to last MatrixA row + */ + pInA0 = pSrcA; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + } + /* + * Sum the partial parts + */ + sum += *pDualCoef++ * vecAddAcrossF32Mve(acc0); + + } + + *pResult = S->classes[STEP(sum)]; +} + +#else +#if defined(ARM_MATH_NEON) +void arm_svm_linear_predict_f32( + const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum = S->intercept; + + float32_t dot; + float32x4_t dotV; + + float32x4_t accuma,accumb,accumc,accumd,accum; + float32x2_t accum2; + float32x4_t vec1; + + float32x4_t vec2,vec2a,vec2b,vec2c,vec2d; + + uint32_t blkCnt; + uint32_t vectorBlkCnt; + + const float32_t *pIn = in; + + const float32_t *pSupport = S->supportVectors; + + const float32_t *pSupporta = S->supportVectors; + const float32_t *pSupportb; + const float32_t *pSupportc; + const float32_t *pSupportd; + + pSupportb = pSupporta + S->vectorDimension; + pSupportc = pSupportb + S->vectorDimension; + pSupportd = pSupportc + S->vectorDimension; + + const float32_t *pDualCoefs = S->dualCoefficients; + + vectorBlkCnt = S->nbOfSupportVectors >> 2; + + while (vectorBlkCnt > 0U) + { + accuma = vdupq_n_f32(0); + accumb = vdupq_n_f32(0); + accumc = vdupq_n_f32(0); + accumd = vdupq_n_f32(0); + + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2a = vld1q_f32(pSupporta); + vec2b = vld1q_f32(pSupportb); + vec2c = vld1q_f32(pSupportc); + vec2d = vld1q_f32(pSupportd); + + pIn += 4; + pSupporta += 4; + pSupportb += 4; + pSupportc += 4; + pSupportd += 4; + + accuma = vmlaq_f32(accuma, vec1,vec2a); + accumb = vmlaq_f32(accumb, vec1,vec2b); + accumc = vmlaq_f32(accumc, vec1,vec2c); + accumd = vmlaq_f32(accumd, vec1,vec2d); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accuma),vget_high_f32(accuma)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,0); + + accum2 = vpadd_f32(vget_low_f32(accumb),vget_high_f32(accumb)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,1); + + accum2 = vpadd_f32(vget_low_f32(accumc),vget_high_f32(accumc)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,2); + + accum2 = vpadd_f32(vget_low_f32(accumd),vget_high_f32(accumd)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,3); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,0) + *pIn * *pSupporta++, dotV,0); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,1) + *pIn * *pSupportb++, dotV,1); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,2) + *pIn * *pSupportc++, dotV,2); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,3) + *pIn * *pSupportd++, dotV,3); + + pIn++; + + blkCnt -- ; + } + + vec1 = vld1q_f32(pDualCoefs); + pDualCoefs += 4; + + accum = vmulq_f32(vec1,dotV); + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + sum += vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + pSupporta += 3*S->vectorDimension; + pSupportb += 3*S->vectorDimension; + pSupportc += 3*S->vectorDimension; + pSupportd += 3*S->vectorDimension; + + vectorBlkCnt -- ; + } + + pSupport = pSupporta; + vectorBlkCnt = S->nbOfSupportVectors & 3; + while (vectorBlkCnt > 0U) + { + accum = vdupq_n_f32(0); + dot = 0.0f; + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2 = vld1q_f32(pSupport); + pIn += 4; + pSupport += 4; + + accum = vmlaq_f32(accum, vec1,vec2); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + dot = vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dot = dot + *pIn++ * *pSupport++; + + blkCnt -- ; + } + + sum += *pDualCoefs++ * dot; + vectorBlkCnt -- ; + } + + *pResult=S->classes[STEP(sum)]; +} +#else +void arm_svm_linear_predict_f32( + const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum=S->intercept; + float32_t dot=0; + uint32_t i,j; + const float32_t *pSupport = S->supportVectors; + + for(i=0; i < S->nbOfSupportVectors; i++) + { + dot=0; + for(j=0; j < S->vectorDimension; j++) + { + dot = dot + in[j]* *pSupport++; + } + sum += S->dualCoefficients[i] * dot; + } + *pResult=S->classes[STEP(sum)]; +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_init_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_init_f32.c new file mode 100644 index 0000000..2bf4a67 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_init_f32.c @@ -0,0 +1,87 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_polynomial_init_f32.c + * Description: SVM Polynomial Instance Initialization + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSVM + * @{ + */ + + + +/** + * @brief SVM polynomial instance init function + * + * Classes are integer used as output of the function (instead of having -1,1 + * as class values). + * + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] degree Polynomial degree + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + + +void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + int32_t degree, + float32_t coef0, + float32_t gamma + ) +{ + S->nbOfSupportVectors = nbOfSupportVectors; + S->vectorDimension = vectorDimension; + S->intercept = intercept; + S->dualCoefficients = dualCoefficients; + S->supportVectors = supportVectors; + S->classes = classes; + S->degree = degree; + S->coef0 = coef0; + S->gamma = gamma; +} + + + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_predict_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_predict_f32.c new file mode 100644 index 0000000..cc83e3c --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_polynomial_predict_f32.c @@ -0,0 +1,488 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_polynomial_predict_f32.c + * Description: SVM Polynomial Classifier + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +#include "arm_vec_math.h" +#endif + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM polynomial prediction + * @param[in] S Pointer to an instance of the polynomial SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +void arm_svm_polynomial_predict_f32( + const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + /* inlined Matrix x Vector function interleaved with dot prod */ + uint32_t numRows = S->nbOfSupportVectors; + uint32_t numCols = S->vectorDimension; + const float32_t *pSupport = S->supportVectors; + const float32_t *pSrcA = pSupport; + const float32_t *pInA0; + const float32_t *pInA1; + uint32_t row; + uint32_t blkCnt; /* loop counters */ + const float32_t *pDualCoef = S->dualCoefficients; + float32_t sum = S->intercept; + f32x4_t vSum = vdupq_n_f32(0.0f); + + row = numRows; + + /* + * compute 4 rows in parrallel + */ + while (row >= 4) { + const float32_t *pInA2, *pInA3; + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec; + f32x4_t vecIn, acc0, acc1, acc2, acc3; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 4 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + pInA2 = pInA1 + numCols; + pInA3 = pInA2 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + acc2 = vdupq_n_f32(0.0f); + acc3 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + pSrcA2Vec = pInA2; + pSrcA3Vec = pInA3; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vld1q(pSrcA2Vec); + pSrcA2Vec += 4; + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vld1q(pSrcA3Vec); + pSrcA3Vec += 4; + acc3 = vfmaq(acc3, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA2Vec, p0); + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA3Vec, p0); + acc3 = vfmaq(acc3, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc2), vtmp, 2); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc3), vtmp, 3); + + vSum = vfmaq_f32(vSum, vld1q(pDualCoef), + arm_vec_exponent_f32 + (vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0), S->degree)); + + pDualCoef += 4; + + pSrcA += numCols * 4; + /* + * Decrement the row loop counter + */ + row -= 4; + } + + /* + * compute 2 rows in parrallel + */ + if (row >= 2) { + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec; + f32x4_t vecIn, acc0, acc1; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 2 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + + vSum = vfmaq_m_f32(vSum, vld1q(pDualCoef), + arm_vec_exponent_f32 + (vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0), S->degree), + vctp32q(2)); + + pDualCoef += 2; + pSrcA += numCols * 2; + row -= 2; + } + + if (row >= 1) { + f32x4_t vecIn, acc0; + float32_t const *pSrcA0Vec, *pInVec; + float32_t const *pSrcVecPtr = in; + /* + * Initialize the pointers to last MatrixA row + */ + pInA0 = pSrcA; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vSum = vfmaq_m_f32(vSum, vld1q(pDualCoef), + arm_vec_exponent_f32 + (vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0), S->degree), + vctp32q(1)); + } + sum += vecAddAcrossF32Mve(vSum); + + + *pResult = S->classes[STEP(sum)]; +} + +#else +#if defined(ARM_MATH_NEON) +void arm_svm_polynomial_predict_f32( + const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum = S->intercept; + + float32_t dot; + float32x4_t dotV; + + float32x4_t accuma,accumb,accumc,accumd,accum; + float32x2_t accum2; + float32x4_t vec1; + float32x4_t coef0 = vdupq_n_f32(S->coef0); + + float32x4_t vec2,vec2a,vec2b,vec2c,vec2d; + + uint32_t blkCnt; + uint32_t vectorBlkCnt; + + const float32_t *pIn = in; + + const float32_t *pSupport = S->supportVectors; + + const float32_t *pSupporta = S->supportVectors; + const float32_t *pSupportb; + const float32_t *pSupportc; + const float32_t *pSupportd; + + pSupportb = pSupporta + S->vectorDimension; + pSupportc = pSupportb + S->vectorDimension; + pSupportd = pSupportc + S->vectorDimension; + + const float32_t *pDualCoefs = S->dualCoefficients; + + vectorBlkCnt = S->nbOfSupportVectors >> 2; + while (vectorBlkCnt > 0U) + { + accuma = vdupq_n_f32(0); + accumb = vdupq_n_f32(0); + accumc = vdupq_n_f32(0); + accumd = vdupq_n_f32(0); + + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2a = vld1q_f32(pSupporta); + vec2b = vld1q_f32(pSupportb); + vec2c = vld1q_f32(pSupportc); + vec2d = vld1q_f32(pSupportd); + + pIn += 4; + pSupporta += 4; + pSupportb += 4; + pSupportc += 4; + pSupportd += 4; + + accuma = vmlaq_f32(accuma, vec1,vec2a); + accumb = vmlaq_f32(accumb, vec1,vec2b); + accumc = vmlaq_f32(accumc, vec1,vec2c); + accumd = vmlaq_f32(accumd, vec1,vec2d); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accuma),vget_high_f32(accuma)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,0); + + accum2 = vpadd_f32(vget_low_f32(accumb),vget_high_f32(accumb)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,1); + + accum2 = vpadd_f32(vget_low_f32(accumc),vget_high_f32(accumc)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,2); + + accum2 = vpadd_f32(vget_low_f32(accumd),vget_high_f32(accumd)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,3); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,0) + *pIn * *pSupporta++, dotV,0); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,1) + *pIn * *pSupportb++, dotV,1); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,2) + *pIn * *pSupportc++, dotV,2); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,3) + *pIn * *pSupportd++, dotV,3); + + pIn++; + + blkCnt -- ; + } + + vec1 = vld1q_f32(pDualCoefs); + pDualCoefs += 4; + + // To vectorize later + dotV = vmulq_n_f32(dotV, S->gamma); + dotV = vaddq_f32(dotV, coef0); + + dotV = arm_vec_exponent_f32(dotV,S->degree); + + accum = vmulq_f32(vec1,dotV); + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + sum += vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + pSupporta += 3*S->vectorDimension; + pSupportb += 3*S->vectorDimension; + pSupportc += 3*S->vectorDimension; + pSupportd += 3*S->vectorDimension; + + vectorBlkCnt -- ; + } + + pSupport = pSupporta; + vectorBlkCnt = S->nbOfSupportVectors & 3; + + while (vectorBlkCnt > 0U) + { + accum = vdupq_n_f32(0); + dot = 0.0f; + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2 = vld1q_f32(pSupport); + pIn += 4; + pSupport += 4; + + accum = vmlaq_f32(accum, vec1,vec2); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + dot = vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dot = dot + *pIn++ * *pSupport++; + + blkCnt -- ; + } + + sum += *pDualCoefs++ * arm_exponent_f32(S->gamma * dot + S->coef0, S->degree); + vectorBlkCnt -- ; + } + + *pResult=S->classes[STEP(sum)]; +} +#else +void arm_svm_polynomial_predict_f32( + const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum=S->intercept; + float32_t dot=0; + uint32_t i,j; + const float32_t *pSupport = S->supportVectors; + + for(i=0; i < S->nbOfSupportVectors; i++) + { + dot=0; + for(j=0; j < S->vectorDimension; j++) + { + dot = dot + in[j]* *pSupport++; + } + sum += S->dualCoefficients[i] * arm_exponent_f32(S->gamma * dot + S->coef0, S->degree); + } + + *pResult=S->classes[STEP(sum)]; +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_init_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_init_f32.c new file mode 100644 index 0000000..55b25d9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_init_f32.c @@ -0,0 +1,79 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_rbf_init_f32.c + * Description: SVM Radial Basis Function Instance Initialization + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM radial basis function instance init function + * + * Classes are integer used as output of the function (instead of having -1,1 + * as class values). + * + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t gamma + ) +{ + S->nbOfSupportVectors = nbOfSupportVectors; + S->vectorDimension = vectorDimension; + S->intercept = intercept; + S->dualCoefficients = dualCoefficients; + S->supportVectors = supportVectors; + S->classes = classes; + S->gamma = gamma; +} + + + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_predict_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_predict_f32.c new file mode 100644 index 0000000..b129551 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_rbf_predict_f32.c @@ -0,0 +1,521 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_rbf_predict_f32.c + * Description: SVM Radial Basis Function Classifier + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM rbf prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult decision value + * @return none. + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +void arm_svm_rbf_predict_f32( + const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + /* inlined Matrix x Vector function interleaved with dot prod */ + uint32_t numRows = S->nbOfSupportVectors; + uint32_t numCols = S->vectorDimension; + const float32_t *pSupport = S->supportVectors; + const float32_t *pSrcA = pSupport; + const float32_t *pInA0; + const float32_t *pInA1; + uint32_t row; + uint32_t blkCnt; /* loop counters */ + const float32_t *pDualCoef = S->dualCoefficients; + float32_t sum = S->intercept; + f32x4_t vSum = vdupq_n_f32(0); + + row = numRows; + + /* + * compute 4 rows in parrallel + */ + while (row >= 4) { + const float32_t *pInA2, *pInA3; + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec; + f32x4_t vecIn, acc0, acc1, acc2, acc3; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 4 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + pInA2 = pInA1 + numCols; + pInA3 = pInA2 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + acc2 = vdupq_n_f32(0.0f); + acc3 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + pSrcA2Vec = pInA2; + pSrcA3Vec = pInA3; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + f32x4_t vecDif; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc1 = vfmaq(acc1, vecDif, vecDif); + vecA = vld1q(pSrcA2Vec); + pSrcA2Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc2 = vfmaq(acc2, vecDif, vecDif); + vecA = vld1q(pSrcA3Vec); + pSrcA3Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc3 = vfmaq(acc3, vecDif, vecDif); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + f32x4_t vecDif; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc1 = vfmaq(acc1, vecDif, vecDif); + vecA = vldrwq_z_f32(pSrcA2Vec, p0);; + vecDif = vsubq(vecIn, vecA); + acc2 = vfmaq(acc2, vecDif, vecDif); + vecA = vldrwq_z_f32(pSrcA3Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc3 = vfmaq(acc3, vecDif, vecDif); + } + /* + * Sum the partial parts + */ + + //sum += *pDualCoef++ * expf(-S->gamma * vecReduceF32Mve(acc0)); + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc2), vtmp, 2); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc3), vtmp, 3); + + vSum = + vfmaq_f32(vSum, vld1q(pDualCoef), + vexpq_f32(vmulq_n_f32(vtmp, -S->gamma))); + pDualCoef += 4; + pSrcA += numCols * 4; + /* + * Decrement the row loop counter + */ + row -= 4; + } + + /* + * compute 2 rows in parrallel + */ + if (row >= 2) { + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec; + f32x4_t vecIn, acc0, acc1; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 2 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + f32x4_t vecDif; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif);; + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc1 = vfmaq(acc1, vecDif, vecDif); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA, vecDif; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc1 = vfmaq(acc1, vecDif, vecDif); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + + vSum = + vfmaq_m_f32(vSum, vld1q(pDualCoef), + vexpq_f32(vmulq_n_f32(vtmp, -S->gamma)), vctp32q(2)); + pDualCoef += 2; + + pSrcA += numCols * 2; + row -= 2; + } + + if (row >= 1) { + f32x4_t vecIn, acc0; + float32_t const *pSrcA0Vec, *pInVec; + float32_t const *pSrcVecPtr = in; + /* + * Initialize the pointers to last MatrixA row + */ + pInA0 = pSrcA; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA, vecDif; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA, vecDif; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + vecDif = vsubq(vecIn, vecA); + acc0 = vfmaq(acc0, vecDif, vecDif); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + + vSum = + vfmaq_m_f32(vSum, vld1q(pDualCoef), + vexpq_f32(vmulq_n_f32(vtmp, -S->gamma)), vctp32q(1)); + + } + + + sum += vecAddAcrossF32Mve(vSum); + *pResult = S->classes[STEP(sum)]; +} + + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" + +void arm_svm_rbf_predict_f32( + const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum = S->intercept; + + float32_t dot; + float32x4_t dotV; + + float32x4_t accuma,accumb,accumc,accumd,accum; + float32x2_t accum2; + float32x4_t temp; + float32x4_t vec1; + + float32x4_t vec2,vec2a,vec2b,vec2c,vec2d; + + uint32_t blkCnt; + uint32_t vectorBlkCnt; + + const float32_t *pIn = in; + + const float32_t *pSupport = S->supportVectors; + + const float32_t *pSupporta = S->supportVectors; + const float32_t *pSupportb; + const float32_t *pSupportc; + const float32_t *pSupportd; + + pSupportb = pSupporta + S->vectorDimension; + pSupportc = pSupportb + S->vectorDimension; + pSupportd = pSupportc + S->vectorDimension; + + const float32_t *pDualCoefs = S->dualCoefficients; + + + vectorBlkCnt = S->nbOfSupportVectors >> 2; + while (vectorBlkCnt > 0U) + { + accuma = vdupq_n_f32(0); + accumb = vdupq_n_f32(0); + accumc = vdupq_n_f32(0); + accumd = vdupq_n_f32(0); + + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2a = vld1q_f32(pSupporta); + vec2b = vld1q_f32(pSupportb); + vec2c = vld1q_f32(pSupportc); + vec2d = vld1q_f32(pSupportd); + + pIn += 4; + pSupporta += 4; + pSupportb += 4; + pSupportc += 4; + pSupportd += 4; + + temp = vsubq_f32(vec1, vec2a); + accuma = vmlaq_f32(accuma, temp, temp); + + temp = vsubq_f32(vec1, vec2b); + accumb = vmlaq_f32(accumb, temp, temp); + + temp = vsubq_f32(vec1, vec2c); + accumc = vmlaq_f32(accumc, temp, temp); + + temp = vsubq_f32(vec1, vec2d); + accumd = vmlaq_f32(accumd, temp, temp); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accuma),vget_high_f32(accuma)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,0); + + accum2 = vpadd_f32(vget_low_f32(accumb),vget_high_f32(accumb)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,1); + + accum2 = vpadd_f32(vget_low_f32(accumc),vget_high_f32(accumc)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,2); + + accum2 = vpadd_f32(vget_low_f32(accumd),vget_high_f32(accumd)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,3); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,0) + SQ(*pIn - *pSupporta), dotV,0); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,1) + SQ(*pIn - *pSupportb), dotV,1); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,2) + SQ(*pIn - *pSupportc), dotV,2); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,3) + SQ(*pIn - *pSupportd), dotV,3); + + pSupporta++; + pSupportb++; + pSupportc++; + pSupportd++; + + pIn++; + + blkCnt -- ; + } + + vec1 = vld1q_f32(pDualCoefs); + pDualCoefs += 4; + + // To vectorize later + dotV = vmulq_n_f32(dotV, -S->gamma); + dotV = vexpq_f32(dotV); + + accum = vmulq_f32(vec1,dotV); + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + sum += vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + pSupporta += 3*S->vectorDimension; + pSupportb += 3*S->vectorDimension; + pSupportc += 3*S->vectorDimension; + pSupportd += 3*S->vectorDimension; + + vectorBlkCnt -- ; + } + + pSupport = pSupporta; + vectorBlkCnt = S->nbOfSupportVectors & 3; + + while (vectorBlkCnt > 0U) + { + accum = vdupq_n_f32(0); + dot = 0.0f; + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2 = vld1q_f32(pSupport); + pIn += 4; + pSupport += 4; + + temp = vsubq_f32(vec1,vec2); + accum = vmlaq_f32(accum, temp,temp); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + dot = vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + + dot = dot + SQ(*pIn - *pSupport); + pIn++; + pSupport++; + + blkCnt -- ; + } + + sum += *pDualCoefs++ * expf(-S->gamma * dot); + vectorBlkCnt -- ; + } + + *pResult=S->classes[STEP(sum)]; +} +#else +void arm_svm_rbf_predict_f32( + const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum=S->intercept; + float32_t dot=0; + uint32_t i,j; + const float32_t *pSupport = S->supportVectors; + + for(i=0; i < S->nbOfSupportVectors; i++) + { + dot=0; + for(j=0; j < S->vectorDimension; j++) + { + dot = dot + SQ(in[j] - *pSupport); + pSupport++; + } + sum += S->dualCoefficients[i] * expf(-S->gamma * dot); + } + *pResult=S->classes[STEP(sum)]; +} +#endif + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_init_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_init_f32.c new file mode 100644 index 0000000..2660313 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_init_f32.c @@ -0,0 +1,81 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_sigmoid_predict_f32.c + * Description: SVM Sigmoid Instance Initialization + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSVM + * @{ + */ + + +/** + * @brief SVM sigmoid instance init function + * + * Classes are integer used as output of the function (instead of having -1,1 + * as class values). + * + * @param[in] S points to an instance of the rbf SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t coef0, + float32_t gamma + ) +{ + S->nbOfSupportVectors = nbOfSupportVectors; + S->vectorDimension = vectorDimension; + S->intercept = intercept; + S->dualCoefficients = dualCoefficients; + S->supportVectors = supportVectors; + S->classes = classes; + S->coef0 = coef0; + S->gamma = gamma; +} + + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_predict_f32.c b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_predict_f32.c new file mode 100644 index 0000000..02f179b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SVMFunctions/arm_svm_sigmoid_predict_f32.c @@ -0,0 +1,485 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_svm_sigmoid_predict_f32.c + * Description: SVM Sigmoid Classifier + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +/** + * @addtogroup groupSVM + * @{ + */ + + + +/** + * @brief SVM sigmoid prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +void arm_svm_sigmoid_predict_f32( + const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + /* inlined Matrix x Vector function interleaved with dot prod */ + uint32_t numRows = S->nbOfSupportVectors; + uint32_t numCols = S->vectorDimension; + const float32_t *pSupport = S->supportVectors; + const float32_t *pSrcA = pSupport; + const float32_t *pInA0; + const float32_t *pInA1; + uint32_t row; + uint32_t blkCnt; /* loop counters */ + const float32_t *pDualCoef = S->dualCoefficients; + float32_t sum = S->intercept; + f32x4_t vSum = vdupq_n_f32(0.0f); + + row = numRows; + + /* + * compute 4 rows in parrallel + */ + while (row >= 4) { + const float32_t *pInA2, *pInA3; + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pSrcA2Vec, *pSrcA3Vec, *pInVec; + f32x4_t vecIn, acc0, acc1, acc2, acc3; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 4 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + pInA2 = pInA1 + numCols; + pInA3 = pInA2 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + acc2 = vdupq_n_f32(0.0f); + acc3 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + pSrcA2Vec = pInA2; + pSrcA3Vec = pInA3; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vld1q(pSrcA2Vec); + pSrcA2Vec += 4; + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vld1q(pSrcA3Vec); + pSrcA3Vec += 4; + acc3 = vfmaq(acc3, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA2Vec, p0); + acc2 = vfmaq(acc2, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA3Vec, p0); + acc3 = vfmaq(acc3, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc2), vtmp, 2); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc3), vtmp, 3); + + vSum = + vfmaq_f32(vSum, vld1q(pDualCoef), + vtanhq_f32(vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0))); + + pDualCoef += 4; + + pSrcA += numCols * 4; + /* + * Decrement the row loop counter + */ + row -= 4; + } + + /* + * compute 2 rows in parrallel + */ + if (row >= 2) { + float32_t const *pSrcA0Vec, *pSrcA1Vec, *pInVec; + f32x4_t vecIn, acc0, acc1; + float32_t const *pSrcVecPtr = in; + + /* + * Initialize the pointers to 2 consecutive MatrixA rows + */ + pInA0 = pSrcA; + pInA1 = pInA0 + numCols; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + acc1 = vdupq_n_f32(0.0f); + pSrcA0Vec = pInA0; + pSrcA1Vec = pInA1; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vld1q(pSrcA1Vec); + pSrcA1Vec += 4; + acc1 = vfmaq(acc1, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + vecA = vldrwq_z_f32(pSrcA1Vec, p0); + acc1 = vfmaq(acc1, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc1), vtmp, 1); + + vSum = + vfmaq_m_f32(vSum, vld1q(pDualCoef), + vtanhq_f32(vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0)), + vctp32q(2)); + + pSrcA += numCols * 2; + row -= 2; + } + + if (row >= 1) { + f32x4_t vecIn, acc0; + float32_t const *pSrcA0Vec, *pInVec; + float32_t const *pSrcVecPtr = in; + /* + * Initialize the pointers to last MatrixA row + */ + pInA0 = pSrcA; + /* + * Initialize the vector pointer + */ + pInVec = pSrcVecPtr; + /* + * reset accumulators + */ + acc0 = vdupq_n_f32(0.0f); + + pSrcA0Vec = pInA0; + + blkCnt = numCols >> 2; + while (blkCnt > 0U) { + f32x4_t vecA; + + vecIn = vld1q(pInVec); + pInVec += 4; + vecA = vld1q(pSrcA0Vec); + pSrcA0Vec += 4; + acc0 = vfmaq(acc0, vecIn, vecA); + + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = numCols & 3; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp32q(blkCnt); + f32x4_t vecA; + + vecIn = vldrwq_z_f32(pInVec, p0); + vecA = vldrwq_z_f32(pSrcA0Vec, p0); + acc0 = vfmaq(acc0, vecIn, vecA); + } + /* + * Sum the partial parts + */ + f32x4_t vtmp = vuninitializedq_f32(); + vtmp = vsetq_lane(vecAddAcrossF32Mve(acc0), vtmp, 0); + + vSum = + vfmaq_m_f32(vSum, vld1q(pDualCoef), + vtanhq_f32(vaddq_n_f32(vmulq_n_f32(vtmp, S->gamma), S->coef0)), + vctp32q(1)); + } + sum += vecAddAcrossF32Mve(vSum); + + *pResult = S->classes[STEP(sum)]; +} + +#else +#if defined(ARM_MATH_NEON) +#include "NEMath.h" + +void arm_svm_sigmoid_predict_f32( + const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum = S->intercept; + + float32_t dot; + float32x4_t dotV; + + float32x4_t accuma,accumb,accumc,accumd,accum; + float32x2_t accum2; + float32x4_t vec1; + float32x4_t coef0 = vdupq_n_f32(S->coef0); + + float32x4_t vec2,vec2a,vec2b,vec2c,vec2d; + + uint32_t blkCnt; + uint32_t vectorBlkCnt; + + const float32_t *pIn = in; + + const float32_t *pSupport = S->supportVectors; + + const float32_t *pSupporta = S->supportVectors; + const float32_t *pSupportb; + const float32_t *pSupportc; + const float32_t *pSupportd; + + pSupportb = pSupporta + S->vectorDimension; + pSupportc = pSupportb + S->vectorDimension; + pSupportd = pSupportc + S->vectorDimension; + + const float32_t *pDualCoefs = S->dualCoefficients; + + vectorBlkCnt = S->nbOfSupportVectors >> 2; + while (vectorBlkCnt > 0U) + { + accuma = vdupq_n_f32(0); + accumb = vdupq_n_f32(0); + accumc = vdupq_n_f32(0); + accumd = vdupq_n_f32(0); + + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2a = vld1q_f32(pSupporta); + vec2b = vld1q_f32(pSupportb); + vec2c = vld1q_f32(pSupportc); + vec2d = vld1q_f32(pSupportd); + + pIn += 4; + pSupporta += 4; + pSupportb += 4; + pSupportc += 4; + pSupportd += 4; + + accuma = vmlaq_f32(accuma, vec1,vec2a); + accumb = vmlaq_f32(accumb, vec1,vec2b); + accumc = vmlaq_f32(accumc, vec1,vec2c); + accumd = vmlaq_f32(accumd, vec1,vec2d); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accuma),vget_high_f32(accuma)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,0); + + accum2 = vpadd_f32(vget_low_f32(accumb),vget_high_f32(accumb)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,1); + + accum2 = vpadd_f32(vget_low_f32(accumc),vget_high_f32(accumc)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,2); + + accum2 = vpadd_f32(vget_low_f32(accumd),vget_high_f32(accumd)); + dotV = vsetq_lane_f32(vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1),dotV,3); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,0) + *pIn * *pSupporta++, dotV,0); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,1) + *pIn * *pSupportb++, dotV,1); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,2) + *pIn * *pSupportc++, dotV,2); + dotV = vsetq_lane_f32(vgetq_lane_f32(dotV,3) + *pIn * *pSupportd++, dotV,3); + + pIn++; + + blkCnt -- ; + } + + vec1 = vld1q_f32(pDualCoefs); + pDualCoefs += 4; + + // To vectorize later + dotV = vmulq_n_f32(dotV, S->gamma); + dotV = vaddq_f32(dotV, coef0); + + dotV = vtanhq_f32(dotV); + + accum = vmulq_f32(vec1,dotV); + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + sum += vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + pSupporta += 3*S->vectorDimension; + pSupportb += 3*S->vectorDimension; + pSupportc += 3*S->vectorDimension; + pSupportd += 3*S->vectorDimension; + + vectorBlkCnt -- ; + } + + pSupport = pSupporta; + vectorBlkCnt = S->nbOfSupportVectors & 3; + + while (vectorBlkCnt > 0U) + { + accum = vdupq_n_f32(0); + dot = 0.0f; + pIn = in; + + blkCnt = S->vectorDimension >> 2; + while (blkCnt > 0U) + { + + vec1 = vld1q_f32(pIn); + vec2 = vld1q_f32(pSupport); + pIn += 4; + pSupport += 4; + + accum = vmlaq_f32(accum, vec1,vec2); + + blkCnt -- ; + } + accum2 = vpadd_f32(vget_low_f32(accum),vget_high_f32(accum)); + dot = vget_lane_f32(accum2, 0) + vget_lane_f32(accum2, 1); + + + blkCnt = S->vectorDimension & 3; + while (blkCnt > 0U) + { + dot = dot + *pIn++ * *pSupport++; + + blkCnt -- ; + } + + sum += *pDualCoefs++ * tanhf(S->gamma * dot + S->coef0); + vectorBlkCnt -- ; + } + + *pResult=S->classes[STEP(sum)]; +} +#else +void arm_svm_sigmoid_predict_f32( + const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult) +{ + float32_t sum=S->intercept; + float32_t dot=0; + uint32_t i,j; + const float32_t *pSupport = S->supportVectors; + + for(i=0; i < S->nbOfSupportVectors; i++) + { + dot=0; + for(j=0; j < S->vectorDimension; j++) + { + dot = dot + in[j]* *pSupport++; + } + sum += S->dualCoefficients[i] * tanhf(S->gamma * dot + S->coef0); + } + *pResult=S->classes[STEP(sum)]; +} + +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupSVM group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/StatisticsFunctions/CMakeLists.txt new file mode 100644 index 0000000..20b9f8a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPStatistics) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPStatistics STATIC ${SRC}) + +configLib(CMSISDSPStatistics ${ROOT}) +configDsp(CMSISDSPStatistics ${ROOT}) + +### Includes +target_include_directories(CMSISDSPStatistics PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/StatisticsFunctions.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/StatisticsFunctions.c new file mode 100644 index 0000000..bc72a9f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/StatisticsFunctions.c @@ -0,0 +1,60 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: StatisticsFunctions.c + * Description: Combination of all statistics function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_entropy_f32.c" +#include "arm_entropy_f64.c" +#include "arm_kullback_leibler_f32.c" +#include "arm_kullback_leibler_f64.c" +#include "arm_logsumexp_dot_prod_f32.c" +#include "arm_logsumexp_f32.c" +#include "arm_max_f32.c" +#include "arm_max_q15.c" +#include "arm_max_q31.c" +#include "arm_max_q7.c" +#include "arm_max_no_idx_f32.c" +#include "arm_mean_f32.c" +#include "arm_mean_q15.c" +#include "arm_mean_q31.c" +#include "arm_mean_q7.c" +#include "arm_min_f32.c" +#include "arm_min_q15.c" +#include "arm_min_q31.c" +#include "arm_min_q7.c" +#include "arm_power_f32.c" +#include "arm_power_q15.c" +#include "arm_power_q31.c" +#include "arm_power_q7.c" +#include "arm_rms_f32.c" +#include "arm_rms_q15.c" +#include "arm_rms_q31.c" +#include "arm_std_f32.c" +#include "arm_std_q15.c" +#include "arm_std_q31.c" +#include "arm_var_f32.c" +#include "arm_var_q15.c" +#include "arm_var_q31.c" diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f32.c new file mode 100644 index 0000000..ebd30ad --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f32.c @@ -0,0 +1,172 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f32.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupStats + * @{ + */ + + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t accum=0.0f,p; + + + blkCnt = blockSize; + + f32x4_t vSum = vdupq_n_f32(0.0f); + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + f32x4_t vecIn = vld1q(pSrcA); + + vSum = vaddq_f32(vSum, vmulq(vecIn, vlogq_f32(vecIn))); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrcA += 4; + blkCnt --; + } + + accum = vecAddAcrossF32Mve(vSum); + + /* Tail */ + blkCnt = blockSize & 0x3; + while(blkCnt > 0) + { + p = *pSrcA++; + accum += p * logf(p); + + blkCnt--; + + } + + return (-accum); +} + +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" + +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize) +{ + const float32_t *pIn; + uint32_t blkCnt; + float32_t accum, p; + + float32x4_t accumV; + float32x2_t accumV2; + float32x4_t tmpV, tmpV2; + + pIn = pSrcA; + + accum = 0.0f; + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + tmpV = vld1q_f32(pIn); + pIn += 4; + + tmpV2 = vlogq_f32(tmpV); + accumV = vmlaq_f32(accumV, tmpV, tmpV2); + + blkCnt--; + + } + + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + p = *pIn++; + accum += p * logf(p); + + blkCnt--; + + } + + return(-accum); +} + +#else +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize) +{ + const float32_t *pIn; + uint32_t blkCnt; + float32_t accum, p; + + pIn = pSrcA; + blkCnt = blockSize; + + accum = 0.0f; + + while(blkCnt > 0) + { + p = *pIn++; + accum += p * logf(p); + + blkCnt--; + + } + + return(-accum); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f64.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f64.c new file mode 100644 index 0000000..7b93c52 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_entropy_f64.c @@ -0,0 +1,71 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f64.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +/** + * @addtogroup groupStats + * @{ + */ + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + +float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize) +{ + const float64_t *pIn; + uint32_t blkCnt; + float64_t accum, p; + + pIn = pSrcA; + blkCnt = blockSize; + + accum = 0.0f; + + while(blkCnt > 0) + { + p = *pIn++; + + accum += p * log(p); + + blkCnt--; + + } + + return(-accum); +} + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f32.c new file mode 100644 index 0000000..5068906 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f32.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f32.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupStats + * @{ + */ + + +/** + * @brief Kullback-Leibler + * + * Distribution A may contain 0 with Neon version. + * Result will be right but some exception flags will be set. + * + * Distribution B must not contain 0 probability. + * + * @param[in] *pSrcA points to an array of input values for probaility distribution A. + * @param[in] *pSrcB points to an array of input values for probaility distribution B. + * @param[in] blockSize number of samples in the input array. + * @return Kullback-Leibler divergence D(A || B) + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA,const float32_t * pSrcB,uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t accum, pA,pB; + + + blkCnt = blockSize; + + accum = 0.0f; + + f32x4_t vSum = vdupq_n_f32(0.0f); + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + f32x4_t vecA = vld1q(pSrcA); + f32x4_t vecB = vld1q(pSrcB); + f32x4_t vRatio; + + vRatio = vdiv_f32(vecB, vecA); + vSum = vaddq_f32(vSum, vmulq(vecA, vlogq_f32(vRatio))); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrcA += 4; + pSrcB += 4; + blkCnt --; + } + + accum = vecAddAcrossF32Mve(vSum); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + pA = *pSrcA++; + pB = *pSrcB++; + accum += pA * logf(pB / pA); + + blkCnt--; + + } + + return(-accum); +} + +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" + +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA,const float32_t * pSrcB,uint32_t blockSize) +{ + const float32_t *pInA, *pInB; + uint32_t blkCnt; + float32_t accum, pA,pB; + + float32x4_t accumV; + float32x2_t accumV2; + float32x4_t tmpVA, tmpVB,tmpV; + + pInA = pSrcA; + pInB = pSrcB; + + accum = 0.0f; + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + tmpVA = vld1q_f32(pInA); + pInA += 4; + + tmpVB = vld1q_f32(pInB); + pInB += 4; + + tmpV = vinvq_f32(tmpVA); + tmpVB = vmulq_f32(tmpVB, tmpV); + tmpVB = vlogq_f32(tmpVB); + + accumV = vmlaq_f32(accumV, tmpVA, tmpVB); + + blkCnt--; + + } + + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + pA = *pInA++; + pB = *pInB++; + accum += pA * logf(pB/pA); + + blkCnt--; + + } + + return(-accum); +} + +#else +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA,const float32_t * pSrcB,uint32_t blockSize) +{ + const float32_t *pInA, *pInB; + uint32_t blkCnt; + float32_t accum, pA,pB; + + pInA = pSrcA; + pInB = pSrcB; + blkCnt = blockSize; + + accum = 0.0f; + + while(blkCnt > 0) + { + pA = *pInA++; + pB = *pInB++; + accum += pA * logf(pB / pA); + + blkCnt--; + + } + + return(-accum); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f64.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f64.c new file mode 100644 index 0000000..456e7de --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_kullback_leibler_f64.c @@ -0,0 +1,73 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f64.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + +/** + * @addtogroup groupStats + * @{ + */ + +/** + * @brief Kullback-Leibler + * + * @param[in] *pSrcA points to an array of input values for probaility distribution A. + * @param[in] *pSrcB points to an array of input values for probaility distribution B. + * @param[in] blockSize number of samples in the input array. + * @return Kullback-Leibler divergence D(A || B) + * + */ + +float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, const float64_t * pSrcB, uint32_t blockSize) +{ + const float64_t *pInA, *pInB; + uint32_t blkCnt; + float64_t accum, pA,pB; + + pInA = pSrcA; + pInB = pSrcB; + blkCnt = blockSize; + + accum = 0.0f; + + while(blkCnt > 0) + { + pA = *pInA++; + pB = *pInB++; + + accum += pA * log(pB / pA); + + blkCnt--; + } + + return(-accum); +} + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_dot_prod_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_dot_prod_f32.c new file mode 100644 index 0000000..3f0c554 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_dot_prod_f32.c @@ -0,0 +1,66 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f32.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupStats + * @{ + */ + + +/** + * @brief Dot product with log arithmetic + * + * Vectors are containing the log of the samples + * + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[in] *pTmpBuffer temporary buffer of length blockSize + * @return The log of the dot product. + * + */ + + +float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t *pTmpBuffer) +{ + float32_t result; + arm_add_f32((float32_t*)pSrcA, (float32_t*)pSrcB, pTmpBuffer, blockSize); + + result = arm_logsumexp_f32(pTmpBuffer, blockSize); + return(result); +} + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_f32.c new file mode 100644 index 0000000..069acf7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_logsumexp_f32.c @@ -0,0 +1,275 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_logsumexp_f32.c + * Description: LogSumExp + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupStats + * @{ + */ + + +/** + * @brief Computation of the LogSumExp + * + * In probabilistic computations, the dynamic of the probability values can be very + * wide because they come from gaussian functions. + * To avoid underflow and overflow issues, the values are represented by their log. + * In this representation, multiplying the original exp values is easy : their logs are added. + * But adding the original exp values is requiring some special handling and it is the + * goal of the LogSumExp function. + * + * If the values are x1...xn, the function is computing: + * + * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that + * rounding issues are minimised. + * + * The max xm of the values is extracted and the function is computing: + * xm + ln(exp(x1 - xm) + ... + exp(xn - xm)) + * + * @param[in] *in Pointer to an array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return LogSumExp + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_math.h" + +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize) +{ + float32_t maxVal; + const float32_t *pIn; + int32_t blkCnt; + float32_t accum=0.0f; + float32_t tmp; + + + arm_max_no_idx_f32((float32_t *) in, blockSize, &maxVal); + + + blkCnt = blockSize; + pIn = in; + + + f32x4_t vSum = vdupq_n_f32(0.0f); + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + f32x4_t vecIn = vld1q(pIn); + f32x4_t vecExp; + + vecExp = vexpq_f32(vsubq_n_f32(vecIn, maxVal)); + + vSum = vaddq_f32(vSum, vecExp); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pIn += 4; + blkCnt --; + } + + /* sum + log */ + accum = vecAddAcrossF32Mve(vSum); + + blkCnt = blockSize & 0x3; + while(blkCnt > 0) + { + tmp = *pIn++; + accum += expf(tmp - maxVal); + blkCnt--; + + } + + accum = maxVal + log(accum); + + return (accum); +} + +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize) +{ + float32_t maxVal; + float32_t tmp; + float32x4_t tmpV, tmpVb; + float32x4_t maxValV; + uint32x4_t idxV; + float32x4_t accumV; + float32x2_t accumV2; + + const float32_t *pIn; + uint32_t blkCnt; + float32_t accum; + + pIn = in; + + blkCnt = blockSize; + + if (blockSize <= 3) + { + maxVal = *pIn++; + blkCnt--; + + while(blkCnt > 0) + { + tmp = *pIn++; + + if (tmp > maxVal) + { + maxVal = tmp; + } + blkCnt--; + } + } + else + { + maxValV = vld1q_f32(pIn); + pIn += 4; + blkCnt = (blockSize - 4) >> 2; + + while(blkCnt > 0) + { + tmpVb = vld1q_f32(pIn); + pIn += 4; + + idxV = vcgtq_f32(tmpVb, maxValV); + maxValV = vbslq_f32(idxV, tmpVb, maxValV ); + + blkCnt--; + } + + accumV2 = vpmax_f32(vget_low_f32(maxValV),vget_high_f32(maxValV)); + accumV2 = vpmax_f32(accumV2,accumV2); + maxVal = vget_lane_f32(accumV2, 0) ; + + blkCnt = (blockSize - 4) & 3; + + while(blkCnt > 0) + { + tmp = *pIn++; + + if (tmp > maxVal) + { + maxVal = tmp; + } + blkCnt--; + } + + } + + + + maxValV = vdupq_n_f32(maxVal); + pIn = in; + accum = 0; + accumV = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + + while(blkCnt > 0) + { + tmpV = vld1q_f32(pIn); + pIn += 4; + tmpV = vsubq_f32(tmpV, maxValV); + tmpV = vexpq_f32(tmpV); + accumV = vaddq_f32(accumV, tmpV); + + blkCnt--; + + } + accumV2 = vpadd_f32(vget_low_f32(accumV),vget_high_f32(accumV)); + accum = vget_lane_f32(accumV2, 0) + vget_lane_f32(accumV2, 1); + + blkCnt = blockSize & 0x3; + while(blkCnt > 0) + { + tmp = *pIn++; + accum += expf(tmp - maxVal); + blkCnt--; + + } + + accum = maxVal + logf(accum); + + return(accum); +} +#else +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize) +{ + float32_t maxVal; + float32_t tmp; + const float32_t *pIn; + uint32_t blkCnt; + float32_t accum; + + pIn = in; + blkCnt = blockSize; + + maxVal = *pIn++; + blkCnt--; + + while(blkCnt > 0) + { + tmp = *pIn++; + + if (tmp > maxVal) + { + maxVal = tmp; + } + blkCnt--; + + } + + blkCnt = blockSize; + pIn = in; + accum = 0; + while(blkCnt > 0) + { + tmp = *pIn++; + accum += expf(tmp - maxVal); + blkCnt--; + + } + accum = maxVal + logf(accum); + + return(accum); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupStats group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_f32.c new file mode 100644 index 0000000..3206815 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_f32.c @@ -0,0 +1,365 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_f32.c + * Description: Maximum value of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include +#endif + +/** + @ingroup groupStats + */ + +/** + @defgroup Max Maximum + + Computes the maximum value of an array of data. + The function returns both the maximum value and its position within the array. + There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup Max + @{ + */ + +/** + @brief Maximum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @param[out] pIndex index of maximum value returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; + f32x4_t vecSrc; + f32x4_t curExtremValVec = vdupq_n_f32(F32_MIN); + float32_t maxValue = F32_MIN; + uint32_t idx = blockSize; + uint32x4_t indexVec; + uint32x4_t curExtremIdxVec; + uint32_t curIdx = 0; + mve_pred16_t p0; + float32_t tmp; + + + indexVec = vidupq_wb_u32(&curIdx, 1); + curExtremIdxVec = vdupq_n_u32(0); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrc); + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + p0 = vcmpgeq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = vidupq_wb_u32(&curIdx, 1); + + pSrc += 4; + /* Decrement the loop counter */ + blkCnt--; + } + + + /* + * Get max value across the vector + */ + maxValue = vmaxnmvq(maxValue, curExtremValVec); + /* + * set index for lower values to max possible index + */ + p0 = vcmpgeq(curExtremValVec, maxValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u32(blockSize), p0); + /* + * Get min index which is thus for a max value + */ + idx = vminvq(idx, indexVec); + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* Initialize tmp to the next consecutive values one by one */ + tmp = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < tmp) + { + /* Update the maximum value and it's index */ + maxValue = tmp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* + * Save result + */ + *pIndex = idx; + *pResult = maxValue; +} + +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + float32_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + float32x4_t outV, srcV; + float32x2_t outV2; + + uint32x4_t idxV; + uint32x4_t maxIdx; + static const uint32_t indexInit[4]={4,5,6,7}; + static const uint32_t countVInit[4]={0,1,2,3}; + + uint32x4_t index; + uint32x4_t delta; + uint32x4_t countV; + uint32x2_t countV2; + + maxIdx = vdupq_n_u32(ULONG_MAX); + delta = vdupq_n_u32(4); + index = vld1q_u32(indexInit); + countV = vld1q_u32(countVInit); + + + /* Initialise the index value to zero. */ + outIndex = 0U; + + /* Load first input value that act as reference value for comparison */ + if (blockSize <= 3) + { + out = *pSrc++; + + blkCnt = blockSize - 1; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + outV = vld1q_f32(pSrc); + pSrc += 4; + + /* Compute 4 outputs at a time */ + blkCnt = (blockSize - 4 ) >> 2U; + + while (blkCnt > 0U) + { + srcV = vld1q_f32(pSrc); + pSrc += 4; + + idxV = vcgtq_f32(srcV, outV); + outV = vbslq_f32(idxV, srcV, outV ); + countV = vbslq_u32(idxV, index,countV ); + + index = vaddq_u32(index,delta); + + /* Decrement the loop counter */ + blkCnt--; + } + + outV2 = vpmax_f32(vget_low_f32(outV),vget_high_f32(outV)); + outV2 = vpmax_f32(outV2,outV2); + out = vget_lane_f32(outV2, 0); + + idxV = vceqq_f32(outV, vdupq_n_f32(out)); + countV = vbslq_u32(idxV, countV,maxIdx); + + countV2 = vpmin_u32(vget_low_u32(countV),vget_high_u32(countV)); + countV2 = vpmin_u32(countV2,countV2); + outIndex = vget_lane_u32(countV2,0); + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 4 ) % 4U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt ; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#else +void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + float32_t maxVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = index + 1U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 2U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 3U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Max group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_no_idx_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_no_idx_f32.c new file mode 100644 index 0000000..992e3bf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_no_idx_f32.c @@ -0,0 +1,138 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_no_idx_f32.c + * Description: Maximum value of a floating-point vector without returning the index + * + * $Date: 16. October 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include +#endif + +/** + @ingroup groupStats + */ + + +/** + @addtogroup Max + @{ + */ + +/** + @brief Maximum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_max_no_idx_f32( + const float32_t *pSrc, + uint32_t blockSize, + float32_t *pResult) +{ + f32x4_t vecSrc; + f32x4_t curExtremValVec = vdupq_n_f32(F32_MIN); + float32_t maxValue = F32_MIN; + float32_t newVal; + uint32_t blkCnt; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + + vecSrc = vldrwq_f32(pSrc); + /* + * update per-lane max. + */ + curExtremValVec = vmaxnmq(vecSrc, curExtremValVec); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + blkCnt --; + } + /* + * Get max value across the vector + */ + maxValue = vmaxnmvq(maxValue, curExtremValVec); + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + newVal = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < newVal) + { + /* Update the maximum value and it's index */ + maxValue = newVal; + } + + blkCnt --; + } + + *pResult = maxValue; +} + +#else + +void arm_max_no_idx_f32( + const float32_t *pSrc, + uint32_t blockSize, + float32_t *pResult) +{ + float32_t maxValue = F32_MIN; + float32_t newVal; + + while (blockSize > 0U) + { + newVal = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < newVal) + { + /* Update the maximum value and it's index */ + maxValue = newVal; + } + + blockSize --; + } + + *pResult = maxValue; +} + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Max group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q15.c new file mode 100644 index 0000000..1ea46c4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q15.c @@ -0,0 +1,230 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q15.c + * Description: Maximum value of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup Max + @{ + */ + +/** + @brief Maximum value of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @param[out] pIndex index of maximum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_max_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q15x8_t curExtremValVec = vdupq_n_s16(Q15_MIN); + q15_t maxValue = Q15_MIN, temp; + uint32_t idx = blockSize; + uint16x8_t indexVec; + uint16x8_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u16((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u16(0); + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + pSrc += 8; + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + p0 = vcmpgeq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get max value across the vector + */ + maxValue = vmaxvq(maxValue, curExtremValVec); + /* + * set index for lower values to max possible index + */ + p0 = vcmpgeq(curExtremValVec, maxValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u16(blockSize), p0); + /* + * Get min index which is thus for a max value + */ + idx = vminvq(idx, indexVec); + + /* Tail */ + blkCnt = blockSize & 0x7; + while (blkCnt > 0U) + { + /* Initialize temp to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < temp) + { + /* Update the maximum value and it's index */ + maxValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* + * Save result + */ + *pIndex = idx; + *pResult = maxValue; +} +#else +void arm_max_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ + q15_t maxVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = index + 1U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 2U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 3U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ +/** + @} end of Max group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q31.c new file mode 100644 index 0000000..5d2ea7d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q31.c @@ -0,0 +1,234 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q31.c + * Description: Maximum value of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup Max + @{ + */ + +/** + @brief Maximum value of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @param[out] pIndex index of maximum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_max_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q31x4_t curExtremValVec = vdupq_n_s32( Q31_MIN); + q31_t maxValue = Q31_MIN; + q31_t temp; + uint32_t idx = blockSize; + uint32x4_t indexVec; + uint32x4_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u32((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u32(0); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + pSrc += 4; + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + p0 = vcmpgeq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get max value across the vector + */ + maxValue = vmaxvq(maxValue, curExtremValVec); + /* + * set index for lower values to max possible index + */ + p0 = vcmpgeq(curExtremValVec, maxValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u32(blockSize), p0); + /* + * Get min index which is thus for a max value + */ + idx = vminvq(idx, indexVec); + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < temp) + { + /* Update the maximum value and it's index */ + maxValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* + * Save result + */ + *pIndex = idx; + *pResult = maxValue; +} +#else +void arm_max_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ + q31_t maxVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = index + 1U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 2U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 3U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Max group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q7.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q7.c new file mode 100644 index 0000000..e19bed7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_max_q7.c @@ -0,0 +1,288 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q7.c + * Description: Maximum value of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup Max + @{ + */ + +/** + @brief Maximum value of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @param[out] pIndex index of maximum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +static void arm_small_blk_max_q7( + const q7_t * pSrc, + uint8_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q7x16_t curExtremValVec = vdupq_n_s8( Q7_MIN); + q7_t maxValue = Q7_MIN, temp; + uint32_t idx = blockSize; + uint8x16_t indexVec; + uint8x16_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u8((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u8(0); + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + pSrc += 16; + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + p0 = vcmpgeq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + + /* + * Get max value across the vector + */ + maxValue = vmaxvq(maxValue, curExtremValVec); + /* + * set index for lower values to max possible index + */ + p0 = vcmpgeq(curExtremValVec, maxValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u8(blockSize), p0); + /* + * Get min index which is thus for a max value + */ + idx = vminvq(idx, indexVec); + + /* + * tail + */ + blkCnt = blockSize & 0xF; + + while (blkCnt > 0U) + { + /* Initialize temp to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the maximum value */ + if (maxValue < temp) + { + /* Update the maximum value and it's index */ + maxValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + /* + * Save result + */ + *pIndex = idx; + *pResult = maxValue; +} + +void arm_max_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + int32_t totalSize = blockSize; + + if (totalSize <= UINT8_MAX) + { + arm_small_blk_max_q7(pSrc, blockSize, pResult, pIndex); + } + else + { + uint32_t curIdx = 0; + q7_t curBlkExtr = Q7_MIN; + uint32_t curBlkPos = 0; + uint32_t curBlkIdx = 0; + /* + * process blocks of 255 elts + */ + while (totalSize >= UINT8_MAX) + { + const q7_t *curSrc = pSrc; + + arm_small_blk_max_q7(curSrc, UINT8_MAX, pResult, pIndex); + if (*pResult > curBlkExtr) + { + /* + * update partial extrema + */ + curBlkExtr = *pResult; + curBlkPos = *pIndex; + curBlkIdx = curIdx; + } + curIdx++; + pSrc += UINT8_MAX; + totalSize -= UINT8_MAX; + } + /* + * remainder + */ + arm_small_blk_max_q7(pSrc, totalSize, pResult, pIndex); + if (*pResult > curBlkExtr) + { + curBlkExtr = *pResult; + curBlkPos = *pIndex; + curBlkIdx = curIdx; + } + *pIndex = curBlkIdx * UINT8_MAX + curBlkPos; + *pResult = curBlkExtr; + } +} +#else +void arm_max_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + q7_t maxVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = index + 1U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 2U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 3U; + } + + maxVal = *pSrc++; + if (out < maxVal) + { + out = maxVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal) + { + /* Update the maximum value and it's index */ + out = maxVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Max group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_f32.c new file mode 100644 index 0000000..8361eaa --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_f32.c @@ -0,0 +1,210 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_f32.c + * Description: Mean value of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup mean Mean + + Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector. + The underlying algorithm is used: + + 
+      Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;
+
+ + There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a floating-point vector. + @param[in] pSrc points to the input vector. + @param[in] blockSize number of samples in input vector. + @param[out] pResult mean value returned here. + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t sum = 0.0f; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrc); + sumVec = vaddq_f32(sumVec, vecSrc); + + blkCnt --; + pSrc += 4; + } + + sum = vecAddAcrossF32Mve(sumVec); + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum / (float32_t) blockSize; +} + + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* Temporary result storage */ + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + + uint32_t blkCnt; /* Loop counter */ + + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + inV = vld1q_f32(pSrc); + sumV = vaddq_f32(sumV, inV); + + pSrc += 4; + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = sum / (float32_t) blockSize; +} +#else +void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (sum / blockSize); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of mean group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q15.c new file mode 100644 index 0000000..6920869 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q15.c @@ -0,0 +1,156 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q15.c + * Description: Mean value of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.15 format and is accumulated in a 32-bit + accumulator in 17.15 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.15 format. + */ + +#if defined(ARM_MATH_MVEI) +void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q31_t sum = 0L; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* + * sum lanes + */ + sum = vaddvaq(sum, vecSrc); + + blkCnt--; + pSrc += 8; + } + + /* Tail */ + blkCnt = blockSize & 0x7; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q15_t) (sum / (int32_t) blockSize); +} +#else +void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = read_q15x2_ia ((q15_t **) &pSrc); + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + + in = read_q15x2_ia ((q15_t **) &pSrc); + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q15_t) (sum / (int32_t) blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q31.c new file mode 100644 index 0000000..2694ef5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q31.c @@ -0,0 +1,149 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q31.c + * Description: Mean value of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.31 format and is accumulated in a 64-bit + accumulator in 33.31 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.31 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sum = 0LL; + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + + vecSrc = vldrwq_s32(pSrc); + /* + * sum lanes + */ + sum = vaddlvaq(sum, vecSrc); + + blkCnt --; + pSrc += 4; + } + + /* Tail */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + blkCnt --; + } + + *pResult = arm_div_q63_to_q31(sum, blockSize); +} +#else +void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q31_t) (sum / blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q7.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q7.c new file mode 100644 index 0000000..2413c21 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_mean_q7.c @@ -0,0 +1,153 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q7.c + * Description: Mean value of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup mean + @{ + */ + +/** + @brief Mean value of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult mean value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.7 format and is accumulated in a 32-bit + accumulator in 25.7 format. + There is no risk of internal overflow with this approach, and the + full precision of intermediate result is preserved. + Finally, the accumulator is truncated to yield a result of 1.7 format. + */ + +#if defined(ARM_MATH_MVEI) + +void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q31_t sum = 0L; + + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + /* + * sum lanes + */ + sum = vaddvaq(sum, vecSrc); + + blkCnt--; + pSrc += 16; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q7_t) (sum / (int32_t) blockSize); +} +#else +void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = read_q7x4_ia ((q7_t **) &pSrc); + sum += ((in << 24U) >> 24U); + sum += ((in << 16U) >> 24U); + sum += ((in << 8U) >> 24U); + sum += (in >> 24U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store result to destination */ + *pResult = (q7_t) (sum / (int32_t) blockSize); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of mean group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_f32.c new file mode 100644 index 0000000..ee74572 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_f32.c @@ -0,0 +1,363 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_f32.c + * Description: Minimum value of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF)) && !defined(ARM_MATH_AUTOVECTORIZE) +#include +#endif + + +/** + @ingroup groupStats + */ + +/** + @defgroup Min Minimum + + Computes the minimum value of an array of data. + The function returns both the minimum value and its position within the array. + There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup Min + @{ + */ + +/** + @brief Minimum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult minimum value returned here + @param[out] pIndex index of minimum value returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + float32_t const *pSrcVec; + f32x4_t curExtremValVec = vdupq_n_f32(F32_MAX); + float32_t minValue = F32_MAX; + uint32_t idx = blockSize; + uint32x4_t indexVec; + uint32x4_t curExtremIdxVec; + float32_t tmp; + mve_pred16_t p0; + + indexVec = vidupq_u32((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u32(0); + + pSrcVec = (float32_t const *) pSrc; + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrcVec); + pSrcVec += 4; + /* + * Get current max per lane and current index per lane + * when a max is selected + */ + p0 = vcmpleq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get min value across the vector + */ + minValue = vminnmvq(minValue, curExtremValVec); + /* + * set index for lower values to max possible index + */ + p0 = vcmpleq(curExtremValVec, minValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u32(blockSize), p0); + /* + * Get min index which is thus for a max value + */ + idx = vminvq(idx, indexVec); + + /* + * tail + */ + blkCnt = blockSize & 0x3; + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + tmp = *pSrc++; + + /* compare for the minimum value */ + if (minValue > tmp) + { + /* Update the minimum value and it's index */ + minValue = tmp; + idx = blockSize - blkCnt; + } + blkCnt--; + } + /* + * Save result + */ + *pIndex = idx; + *pResult = minValue; +} + +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + float32_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + float32x4_t outV, srcV; + float32x2_t outV2; + + uint32x4_t idxV; + static const uint32_t indexInit[4]={4,5,6,7}; + static const uint32_t countVInit[4]={0,1,2,3}; + uint32x4_t maxIdx; + uint32x4_t index; + uint32x4_t delta; + uint32x4_t countV; + uint32x2_t countV2; + + maxIdx = vdupq_n_u32(ULONG_MAX); + delta = vdupq_n_u32(4); + index = vld1q_u32(indexInit); + countV = vld1q_u32(countVInit); + + /* Initialise the index value to zero. */ + outIndex = 0U; + + /* Load first input value that act as reference value for comparison */ + if (blockSize <= 3) + { + out = *pSrc++; + + blkCnt = blockSize - 1; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out > maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + outV = vld1q_f32(pSrc); + pSrc += 4; + + /* Compute 4 outputs at a time */ + blkCnt = (blockSize - 4 ) >> 2U; + + while (blkCnt > 0U) + { + srcV = vld1q_f32(pSrc); + pSrc += 4; + + idxV = vcltq_f32(srcV, outV); + outV = vbslq_f32(idxV, srcV, outV ); + countV = vbslq_u32(idxV, index,countV ); + + index = vaddq_u32(index,delta); + + /* Decrement the loop counter */ + blkCnt--; + } + + outV2 = vpmin_f32(vget_low_f32(outV),vget_high_f32(outV)); + outV2 = vpmin_f32(outV2,outV2); + out = vget_lane_f32(outV2,0); + + idxV = vceqq_f32(outV, vdupq_n_f32(out)); + countV = vbslq_u32(idxV, countV,maxIdx); + + countV2 = vpmin_u32(vget_low_u32(countV),vget_high_u32(countV)); + countV2 = vpmin_u32(countV2,countV2); + outIndex = vget_lane_u32(countV2,0); + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 4 ) % 4U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out > maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt ; + } + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#else +void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ + float32_t minVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = index + 1U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 2U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 3U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Min group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q15.c new file mode 100644 index 0000000..ef136d3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q15.c @@ -0,0 +1,234 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q15.c + * Description: Minimum value of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + + +/** + @addtogroup Min + @{ + */ + +/** + @brief Minimum value of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult minimum value returned here + @param[out] pIndex index of minimum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_min_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q15x8_t curExtremValVec = vdupq_n_s16(Q15_MAX); + q15_t minValue = Q15_MAX,temp; + uint32_t idx = blockSize; + uint16x8_t indexVec; + uint16x8_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u16((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u16(0); + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + pSrc += 8; + /* + * Get current min per lane and current index per lane + * when a min is selected + */ + p0 = vcmpleq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get min value across the vector + */ + minValue = vminvq(minValue, curExtremValVec); + /* + * set index for lower values to min possible index + */ + p0 = vcmpleq(curExtremValVec, minValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u16(blockSize), p0); + /* + * Get min index which is thus for a min value + */ + idx = vminvq(idx, indexVec); + + /* + * tail + */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the minimum value */ + if (minValue > temp) + { + /* Update the minimum value and it's index */ + minValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* + * Save result + */ + *pIndex = idx; + *pResult = minValue; +} +#else +void arm_min_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ + q15_t minVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = index + 1U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 2U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 3U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Min group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q31.c new file mode 100644 index 0000000..e55b52f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q31.c @@ -0,0 +1,233 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q31.c + * Description: Minimum value of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + + +/** + @addtogroup Min + @{ + */ + +/** + @brief Minimum value of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult minimum value returned here + @param[out] pIndex index of minimum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +void arm_min_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q31x4_t curExtremValVec = vdupq_n_s32(Q31_MAX); + q31_t minValue = Q31_MAX, temp; + uint32_t idx = blockSize; + uint32x4_t indexVec; + uint32x4_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u32((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u32(0); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + pSrc += 4; + /* + * Get current min per lane and current index per lane + * when a min is selected + */ + p0 = vcmpleq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get min value across the vector + */ + minValue = vminvq(minValue, curExtremValVec); + /* + * set index for lower values to min possible index + */ + p0 = vcmpleq(curExtremValVec, minValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u32(blockSize), p0); + /* + * Get min index which is thus for a min value + */ + idx = vminvq(idx, indexVec); + + + /* Tail */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* Initialize temp to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the minimum value */ + if (minValue > temp) + { + /* Update the minimum value and it's index */ + minValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + /* + * Save result + */ + *pIndex = idx; + *pResult = minValue; +} +#else +void arm_min_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ + q31_t minVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = index + 1U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 2U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 3U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Min group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q7.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q7.c new file mode 100644 index 0000000..f1ce64e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_min_q7.c @@ -0,0 +1,284 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q7.c + * Description: Minimum value of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + + +/** + @addtogroup Min + @{ + */ + +/** + @brief Minimum value of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult minimum value returned here + @param[out] pIndex index of minimum value returned here + @return none + */ +#if defined(ARM_MATH_MVEI) + +#include "arm_helium_utils.h" + +static void arm_small_blk_min_q7( + const q7_t * pSrc, + uint8_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q7x16_t curExtremValVec = vdupq_n_s8(Q7_MAX); + q7_t minValue = Q7_MAX,temp; + uint32_t idx = blockSize; + uint8x16_t indexVec; + uint8x16_t curExtremIdxVec; + mve_pred16_t p0; + + + indexVec = vidupq_u8((uint32_t)0, 1); + curExtremIdxVec = vdupq_n_u8(0); + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + pSrc += 16; + /* + * Get current min per lane and current index per lane + * when a min is selected + */ + p0 = vcmpleq(vecSrc, curExtremValVec); + curExtremValVec = vpselq(vecSrc, curExtremValVec, p0); + curExtremIdxVec = vpselq(indexVec, curExtremIdxVec, p0); + + indexVec = indexVec + 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * Get min value across the vector + */ + minValue = vminvq(minValue, curExtremValVec); + /* + * set index for lower values to min possible index + */ + p0 = vcmpleq(curExtremValVec, minValue); + indexVec = vpselq(curExtremIdxVec, vdupq_n_u8(blockSize), p0); + /* + * Get min index which is thus for a min value + */ + idx = vminvq(idx, indexVec); + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + temp = *pSrc++; + + /* compare for the minimum value */ + if (minValue > temp) + { + /* Update the minimum value and it's index */ + minValue = temp; + idx = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + /* + * Save result + */ + *pIndex = idx; + *pResult = minValue; +} + +void arm_min_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + int32_t totalSize = blockSize; + + if (totalSize <= UINT8_MAX) + { + arm_small_blk_min_q7(pSrc, blockSize, pResult, pIndex); + } + else + { + uint32_t curIdx = 0; + q7_t curBlkExtr = Q7_MAX; + uint32_t curBlkPos = 0; + uint32_t curBlkIdx = 0; + /* + * process blocks of 255 elts + */ + while (totalSize >= UINT8_MAX) + { + const q7_t *curSrc = pSrc; + + arm_small_blk_min_q7(curSrc, UINT8_MAX, pResult, pIndex); + if (*pResult < curBlkExtr) + { + /* + * update partial extrema + */ + curBlkExtr = *pResult; + curBlkPos = *pIndex; + curBlkIdx = curIdx; + } + curIdx++; + pSrc += UINT8_MAX; + totalSize -= UINT8_MAX; + } + /* + * remainder + */ + arm_small_blk_min_q7(pSrc, totalSize, pResult, pIndex); + if (*pResult < curBlkExtr) + { + curBlkExtr = *pResult; + curBlkPos = *pIndex; + curBlkIdx = curIdx; + } + *pIndex = curBlkIdx * UINT8_MAX + curBlkPos; + *pResult = curBlkExtr; + } +} +#else +void arm_min_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ + q7_t minVal, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + uint32_t index; /* index of maximum value */ +#endif + + /* Initialise index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + +#if defined (ARM_MATH_LOOPUNROLL) + /* Initialise index of maximum value. */ + index = 0U; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = index + 1U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 2U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 3U; + } + + minVal = *pSrc++; + if (out > minVal) + { + out = minVal; + outIndex = index + 4U; + } + + index += 4U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = (blockSize - 1U) % 4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal) + { + /* Update the minimum value and it's index */ + out = minVal; + outIndex = blockSize - blkCnt; + } + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Min group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_f32.c new file mode 100644 index 0000000..a5509a9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_f32.c @@ -0,0 +1,225 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_f32.c + * Description: Sum of the squares of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup power Power + + Calculates the sum of the squares of the elements in the input vector. + The underlying algorithm is used: + + 
+      Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];
+
+ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t sum = 0.0f; + float32_t in; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_f32(pSrc); + /* + * sum lanes + */ + sumVec = vfmaq(sumVec, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + sum = vecAddAcrossF32Mve(sumVec); + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the result to the destination */ + *pResult = sum; +} +#else +void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result to destination */ + *pResult = sum; +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of power group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q15.c new file mode 100644 index 0000000..69c9c94 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q15.c @@ -0,0 +1,177 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q15.c + * Description: Sum of the squares of the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 34.30 format. + */ +#if defined(ARM_MATH_MVEI) + +void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q63_t sum = 0LL; + q15_t in; + + /* Compute 8 outputs at a time */ + blkCnt = blockSize >> 3U; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* + * sum lanes + */ + sum = vmlaldavaq(sum, vecSrc, vecSrc); + + blkCnt --; + pSrc += 8; + } + + /* + * tail + */ + blkCnt = blockSize & 0x7; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store packed input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); +#else + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in 34.30 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q31.c new file mode 100644 index 0000000..4de4c9e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q31.c @@ -0,0 +1,165 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q31.c + * Description: Sum of the squares of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.31 format. + Intermediate multiplication yields a 2.62 format, and this + result is truncated to 2.48 format by discarding the lower 14 bits. + The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + With 15 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 16.48 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sum = 0LL; + q31_t in; + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + /* + * sum lanes + */ + sum = vrmlaldavhaq(sum, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 8; + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = asrl(sum, 6); +} +#else +void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q31_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and store result in a temporary variable sum, providing 15 guard bits. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store results in 16.48 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q7.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q7.c new file mode 100644 index 0000000..0e1b9da --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_power_q7.c @@ -0,0 +1,180 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q7.c + * Description: Sum of the squares of the elements of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup power + @{ + */ + +/** + @brief Sum of the squares of the elements of a Q7 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult sum of the squares value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 32-bit internal accumulator. + The input is represented in 1.7 format. + Intermediate multiplication yields a 2.14 format, and this + result is added without saturation to an accumulator in 18.14 format. + With 17 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the return result is in 18.14 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecSrc; + q31_t sum = 0LL; + q7_t in; + + /* Compute 16 outputs at a time */ + blkCnt = blockSize >> 4U; + while (blkCnt > 0U) + { + vecSrc = vldrbq_s8(pSrc); + /* + * sum lanes + */ + sum = vmladavaq(sum, vecSrc, vecSrc); + + blkCnt--; + pSrc += 16; + } + + /* + * tail + */ + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q15_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + *pResult = sum; +} +#else +void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Temporary result storage */ + q7_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store packed input value */ + q31_t in1, in2; /* Temporary variables to store input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q7x4_ia ((q7_t **) &pSrc); + + in1 = __SXTB16(__ROR(in32, 8)); + in2 = __SXTB16(in32); + + /* calculate power and accumulate to accumulator */ + sum = __SMLAD(in1, in1, sum); + sum = __SMLAD(in2, in2, sum); +#else + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); + + in = *pSrc++; + sum += ((q15_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute Power and store result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q15_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Store result in 18.14 format */ + *pResult = sum; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of power group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_f32.c new file mode 100644 index 0000000..7f26aff --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_f32.c + * Description: Root mean square value of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup RMS Root mean square (RMS) + + Calculates the Root Mean Square of the elements in the input vector. + The underlying algorithm is used: + + 
+      Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));
+
+ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t pow = 0.0f; + + arm_power_f32(pSrc, blockSize, &pow); + + /* Compute Rms and store the result in the destination */ + arm_sqrt_f32(pow / (float32_t) blockSize, pResult); +} +#else +#if defined(ARM_MATH_NEON) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Rms and store the result in the destination */ + arm_sqrt_f32(sum / (float32_t) blockSize, pResult); +} +#else +void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sum. */ + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + in = *pSrc++; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ( in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Rms and store result in destination */ + arm_sqrt_f32(sum / (float32_t) blockSize, pResult); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of RMS group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q15.c new file mode 100644 index 0000000..8097771 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q15.c @@ -0,0 +1,149 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q15.c + * Description: Root Mean Square of the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q63_t pow = 0.0f; + q15_t normalizedPower; + + arm_power_q15(pSrc, blockSize, &pow); + + normalizedPower=__SSAT((pow / (q63_t) blockSize) >> 15,16); + arm_sqrt_q15(normalizedPower, pResult); +} +#else +void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sum = __SMLALD(in32, in32, sum); +#else + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); + + in = *pSrc++; + sum += ((q31_t) in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ((q31_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Truncating and saturating the accumulator to 1.15 format */ + /* Store result in destination */ + arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of RMS group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q31.c new file mode 100644 index 0000000..3c1c692 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_rms_q31.c @@ -0,0 +1,141 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q31.c + * Description: Root Mean Square of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup RMS + @{ + */ + +/** + @brief Root Mean Square of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult root mean square value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, and intermediate multiplication + yields a 2.62 format. + The accumulator maintains full precision of the intermediate multiplication results, + but provides only a single guard bit. + There is no saturation on intermediate additions. + If the accumulator overflows, it wraps around and distorts the result. + In order to avoid overflows completely, the input signal must be scaled down by + log2(blockSize) bits, as a total of blockSize additions are performed internally. + Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) + +void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t pow = 0.0f; + q31_t normalizedPower; + arm_power_q31(pSrc, blockSize, &pow); + + normalizedPower=clip_q63_to_q31((pow / (q63_t) blockSize) >> 17); + arm_sqrt_q31(normalizedPower, pResult); + +} + +#else +void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + uint64_t sum = 0; /* Temporary result storage (can get never negative. changed type from q63 to uint64 */ + q31_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sum. */ + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + in = *pSrc++; + sum += ((q63_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable. */ + sum += ((q63_t) in * in); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */ + /* Compute Rms and store result in destination vector */ + arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of RMS group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_f32.c new file mode 100644 index 0000000..b584dcd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_f32.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_f32.c + * Description: Standard deviation of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup STD Standard deviation + + Calculates the standard deviation of the elements in the input vector. + + The float implementation is relying on arm_var_f32 which is using a two-pass algorithm + to avoid problem of numerical instabilities and cancellation errors. + + Fixed point versions are using the standard textbook algorithm since the fixed point + numerical behavior is different from the float one. + + Algorithm for fixed point versions is summarized below: + + + 
+      Result = sqrt((sumOfSquares - sum2 / blockSize) / (blockSize - 1))
+
+      sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]
+      sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
+
+ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult standard deviation value returned here + @return none + */ +void arm_std_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t var; + arm_var_f32(pSrc,blockSize,&var); + arm_sqrt_f32(var, pResult); +} + +/** + @} end of STD group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q15.c new file mode 100644 index 0000000..8003f83 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q15.c @@ -0,0 +1,173 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q15.c + * Description: Standard deviation of an array of Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult standard deviation value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q15_t var=0; + + arm_var_q15(pSrc, blockSize, &var); + arm_sqrt_q15(var,pResult); +} +#else +void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + /* Compute sum and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); +#else + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += (in * in); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of squares minus the square of mean. */ + /* Compute standard deviation and store result in destination */ + arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of STD group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q31.c new file mode 100644 index 0000000..190e595 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_std_q31.c @@ -0,0 +1,159 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q31.c + * Description: Standard deviation of the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup STD + @{ + */ + +/** + @brief Standard deviation of the elements of a Q31 vector. + @param[in] pSrc points to the input vector. + @param[in] blockSize number of samples in input vector. + @param[out] pResult standard deviation value returned here. + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, which is then downshifted by 8 bits + which yields 1.23, and intermediate multiplication yields a 2.46 format. + The accumulator maintains full precision of the intermediate multiplication results, + but provides only a 16 guard bits. + There is no saturation on intermediate additions. + If the accumulator overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by + log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + After division, internal variables should be Q18.46 + Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) +void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q31_t var=0; + + arm_var_q31(pSrc, blockSize, &var); + arm_sqrt_q31(var, pResult); +} +#else +void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Accumulator */ + q63_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q31_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* Compute standard deviation and store result in destination */ + arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult); +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of STD group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_f32.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_f32.c new file mode 100644 index 0000000..23ca8b2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_f32.c @@ -0,0 +1,293 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_f32.c + * Description: Variance of the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @defgroup variance Variance + + Calculates the variance of the elements in the input vector. + The underlying algorithm used is the direct method sometimes referred to as the two-pass method: + + 
+      Result = sum(element - meanOfElements)^2) / numElement - 1
+
+      meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
+
+ + There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + f32x4_t vecSrc; + f32x4_t sumVec = vdupq_n_f32(0.0f); + float32_t fMean; + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + arm_mean_f32(pSrc, blockSize, &fMean); + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + + vecSrc = vldrwq_f32(pSrc); + /* + * sum lanes + */ + vecSrc = vsubq(vecSrc, fMean); + sumVec = vfmaq(sumVec, vecSrc, vecSrc); + + blkCnt --; + pSrc += 4; + } + + sum = vecAddAcrossF32Mve(sumVec); + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + in = *pSrc++ - fMean; + sum += in * in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = sum / (float32_t) (blockSize - 1); +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t mean; + + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t sumV = vdupq_n_f32(0.0f); /* Temporary result storage */ + float32x2_t sumV2; + float32x4_t inV; + float32x4_t avg; + + arm_mean_f32(pSrc,blockSize,&mean); + avg = vdupq_n_f32(mean); + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + inV = vld1q_f32(pSrc); + inV = vsubq_f32(inV, avg); + sumV = vmlaq_f32(sumV, inV, inV); + pSrc += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV)); + sum = vget_lane_f32(sumV2, 0) + vget_lane_f32(sumV2, 1); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + in = in - mean; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = sum / (float32_t)(blockSize - 1.0f); + +} + +#else +void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t fSum = 0.0f; + float32_t fMean, fValue; + const float32_t * pInput = pSrc; + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + + sum += *pInput++; + sum += *pInput++; + sum += *pInput++; + sum += *pInput++; + + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + + sum += *pInput++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + fMean = sum / (float32_t) blockSize; + + pInput = pSrc; + +#if defined (ARM_MATH_LOOPUNROLL) && !defined(ARM_MATH_AUTOVECTORIZE) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = fSum / (float32_t)(blockSize - 1.0f); +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of variance group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q15.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q15.c new file mode 100644 index 0000000..51621ef --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q15.c @@ -0,0 +1,230 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q15.c + * Description: Variance of an array of Q15 type + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a Q15 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + The input is represented in 1.15 format. + Intermediate multiplication yields a 2.30 format, and this + result is added without saturation to a 64-bit accumulator in 34.30 format. + With 33 guard bits in the accumulator, there is no risk of overflow, and the + full precision of the intermediate multiplication is preserved. + Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + 15 bits, and then saturated to yield a result in 1.15 format. + */ +#if defined(ARM_MATH_MVEI) +void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q15x8_t vecSrc; + q63_t sumOfSquares = 0LL; + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q63_t sum = 0LL; + q15_t in; + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vecSrc = vldrhq_s16(pSrc); + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + + sumOfSquares = vmlaldavaq(sumOfSquares, vecSrc, vecSrc); + sum = vaddvaq(sum, vecSrc); + + blkCnt --; + pSrc += 8; + } + + /* Tail */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ +#if defined (ARM_MATH_DSP) + sumOfSquares = __SMLALD(in, in, sumOfSquares); +#else + sumOfSquares += (in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = arm_div_q63_to_q31(sumOfSquares, (blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = arm_div_q63_to_q31((q63_t)sum * sum, (q31_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15; +} +#else +void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q15_t in; /* Temporary variable to store input value */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in32; /* Temporary variable to store input value */ +#endif + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + /* Compute sum and store result in a temporary variable, sum. */ +#if defined (ARM_MATH_DSP) + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); + + in32 = read_q15x2_ia ((q15_t **) &pSrc); + sumOfSquares = __SMLALD(in32, in32, sumOfSquares); + sum += ((in32 << 16U) >> 16U); + sum += (in32 >> 16U); +#else + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; + + in = *pSrc++; + sumOfSquares += (in * in); + sum += in; +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ +#if defined (ARM_MATH_DSP) + sumOfSquares = __SMLALD(in, in, sumOfSquares); +#else + sumOfSquares += (in * in); +#endif /* #if defined (ARM_MATH_DSP) */ + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of squares minus the square of mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of variance group + */ diff --git a/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q31.c b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q31.c new file mode 100644 index 0000000..9c3de06 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/StatisticsFunctions/arm_var_q31.c @@ -0,0 +1,214 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q31.c + * Description: Variance of an array of Q31 type + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupStats + */ + +/** + @addtogroup variance + @{ + */ + +/** + @brief Variance of the elements of a Q31 vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult variance value returned here + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The input is represented in 1.31 format, which is then downshifted by 8 bits + which yields 1.23, and intermediate multiplication yields a 2.46 format. + The accumulator maintains full precision of the intermediate multiplication results, + and as a consequence has only 16 guard bits. + There is no saturation on intermediate additions. + If the accumulator overflows it wraps around and distorts the result. + In order to avoid overflows completely the input signal must be scaled down by + log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + After division, internal variables should be Q18.46 + Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + */ +#if defined(ARM_MATH_MVEI) +void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecSrc; + q63_t sumOfSquares = 0LL; + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q63_t sum = 0LL; + q31_t in; + + if (blockSize <= 1U) { + *pResult = 0; + return; + } + + + /* Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + while (blkCnt > 0U) + { + vecSrc = vldrwq_s32(pSrc); + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + + /* downscale */ + vecSrc = vshrq(vecSrc, 8); + sumOfSquares = vmlaldavaq(sumOfSquares, vecSrc, vecSrc); + sum = vaddlvaq(sum, vecSrc); + + blkCnt --; + pSrc += 4; + } + + + /* + * tail + */ + blkCnt = blockSize & 0x3; + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t) (blockSize - 1U); + + /* Compute square of mean */ + squareOfMean = sum * sum / (q63_t) (blockSize * (blockSize - 1U)); + + /* Compute standard deviation and then store the result to the destination */ + *pResult = asrl(meanOfSquares - squareOfMean, 15U); +} +#else +void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + uint32_t blkCnt; /* Loop counter */ + q63_t sum = 0; /* Temporary result storage */ + q63_t meanOfSquares, squareOfMean; /* Square of mean and mean of square */ + q63_t sumOfSquares = 0; /* Sum of squares */ + q31_t in; /* Temporary variable to store input value */ + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */ + /* C = A[0] + A[1] + ... + A[blockSize-1] */ + + in = *pSrc++ >> 8U; + /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */ + sumOfSquares += ((q63_t) (in) * (in)); + /* Compute sum and store result in a temporary variable, sum. */ + sum += in; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */ + meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* Compute variance and store result in destination */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; +} +#endif +/** + @} end of variance group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/SupportFunctions/CMakeLists.txt new file mode 100644 index 0000000..0379721 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/CMakeLists.txt @@ -0,0 +1,19 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPSupport) + +include(configLib) +include(configDsp) + +file(GLOB SRC "./*_*.c") + +add_library(CMSISDSPSupport STATIC ${SRC}) + +configLib(CMSISDSPSupport ${ROOT}) +configDsp(CMSISDSPSupport ${ROOT}) + +### Includes +target_include_directories(CMSISDSPSupport PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/SupportFunctions.c b/Firmware/cmsis/dsp/Source/SupportFunctions/SupportFunctions.c new file mode 100644 index 0000000..9042d8a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/SupportFunctions.c @@ -0,0 +1,63 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: SupportFunctions.c + * Description: Combination of all support function source files. + * + * $Date: 16. March 2020 + * $Revision: V1.1.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_barycenter_f32.c" +#include "arm_bitonic_sort_f32.c" +#include "arm_bubble_sort_f32.c" +#include "arm_copy_f32.c" +#include "arm_copy_q15.c" +#include "arm_copy_q31.c" +#include "arm_copy_q7.c" +#include "arm_fill_f32.c" +#include "arm_fill_q15.c" +#include "arm_fill_q31.c" +#include "arm_fill_q7.c" +#include "arm_heap_sort_f32.c" +#include "arm_insertion_sort_f32.c" +#include "arm_merge_sort_f32.c" +#include "arm_merge_sort_init_f32.c" +#include "arm_quick_sort_f32.c" +#include "arm_selection_sort_f32.c" +#include "arm_sort_f32.c" +#include "arm_sort_init_f32.c" +#include "arm_spline_interp_f32.c" +#include "arm_spline_interp_init_f32.c" +#include "arm_weighted_sum_f32.c" + +#include "arm_float_to_q15.c" +#include "arm_float_to_q31.c" +#include "arm_float_to_q7.c" +#include "arm_q15_to_float.c" +#include "arm_q15_to_q31.c" +#include "arm_q15_to_q7.c" +#include "arm_q31_to_float.c" +#include "arm_q31_to_q15.c" +#include "arm_q31_to_q7.c" +#include "arm_q7_to_float.c" +#include "arm_q7_to_q15.c" +#include "arm_q7_to_q31.c" diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_barycenter_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_barycenter_f32.c new file mode 100644 index 0000000..1fcd91a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_barycenter_f32.c @@ -0,0 +1,412 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_barycenter_f32.c + * Description: Barycenter + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + @ingroup groupSupport + */ + + +/** + * @brief Barycenter + * + * + * @param[in] *in List of vectors + * @param[in] *weights Weights of the vectors + * @param[out] *out Barycenter + * @param[in] nbVectors Number of vectors + * @param[in] vecDim Dimension of space (vector dimension) + * @return None + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_barycenter_f32(const float32_t *in, + const float32_t *weights, + float32_t *out, + uint32_t nbVectors, + uint32_t vecDim) +{ + const float32_t *pIn, *pW; + const float32_t *pIn1, *pIn2, *pIn3, *pIn4; + float32_t *pOut; + uint32_t blkCntVector, blkCntSample; + float32_t accum, w; + + blkCntVector = nbVectors; + blkCntSample = vecDim; + + accum = 0.0f; + + pW = weights; + pIn = in; + + + arm_fill_f32(0.0f, out, vecDim); + + + /* Sum */ + pIn1 = pIn; + pIn2 = pIn1 + vecDim; + pIn3 = pIn2 + vecDim; + pIn4 = pIn3 + vecDim; + + blkCntVector = nbVectors >> 2; + while (blkCntVector > 0) + { + f32x4_t outV, inV1, inV2, inV3, inV4; + float32_t w1, w2, w3, w4; + + pOut = out; + w1 = *pW++; + w2 = *pW++; + w3 = *pW++; + w4 = *pW++; + accum += w1 + w2 + w3 + w4; + + blkCntSample = vecDim >> 2; + while (blkCntSample > 0) { + outV = vld1q((const float32_t *) pOut); + inV1 = vld1q(pIn1); + inV2 = vld1q(pIn2); + inV3 = vld1q(pIn3); + inV4 = vld1q(pIn4); + outV = vfmaq(outV, inV1, w1); + outV = vfmaq(outV, inV2, w2); + outV = vfmaq(outV, inV3, w3); + outV = vfmaq(outV, inV4, w4); + vst1q(pOut, outV); + + pOut += 4; + pIn1 += 4; + pIn2 += 4; + pIn3 += 4; + pIn4 += 4; + + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while (blkCntSample > 0) { + *pOut = *pOut + *pIn1++ * w1; + *pOut = *pOut + *pIn2++ * w2; + *pOut = *pOut + *pIn3++ * w3; + *pOut = *pOut + *pIn4++ * w4; + pOut++; + blkCntSample--; + } + + pIn1 += 3 * vecDim; + pIn2 += 3 * vecDim; + pIn3 += 3 * vecDim; + pIn4 += 3 * vecDim; + + blkCntVector--; + } + + pIn = pIn1; + + blkCntVector = nbVectors & 3; + while (blkCntVector > 0) + { + f32x4_t inV, outV; + + pOut = out; + w = *pW++; + accum += w; + + blkCntSample = vecDim >> 2; + while (blkCntSample > 0) + { + outV = vld1q_f32(pOut); + inV = vld1q_f32(pIn); + outV = vfmaq(outV, inV, w); + vst1q_f32(pOut, outV); + pOut += 4; + pIn += 4; + + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while (blkCntSample > 0) + { + *pOut = *pOut + *pIn++ * w; + pOut++; + blkCntSample--; + } + + blkCntVector--; + } + + /* Normalize */ + pOut = out; + accum = 1.0f / accum; + + blkCntSample = vecDim >> 2; + while (blkCntSample > 0) + { + f32x4_t tmp; + + tmp = vld1q((const float32_t *) pOut); + tmp = vmulq(tmp, accum); + vst1q(pOut, tmp); + pOut += 4; + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while (blkCntSample > 0) + { + *pOut = *pOut * accum; + pOut++; + blkCntSample--; + } +} +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" +void arm_barycenter_f32(const float32_t *in, const float32_t *weights, float32_t *out, uint32_t nbVectors,uint32_t vecDim) +{ + + const float32_t *pIn,*pW, *pIn1, *pIn2, *pIn3, *pIn4; + float32_t *pOut; + uint32_t blkCntVector,blkCntSample; + float32_t accum, w,w1,w2,w3,w4; + + float32x4_t tmp, inV,outV, inV1, inV2, inV3, inV4; + + blkCntVector = nbVectors; + blkCntSample = vecDim; + + accum = 0.0f; + + pW = weights; + pIn = in; + + /* Set counters to 0 */ + tmp = vdupq_n_f32(0.0f); + pOut = out; + + blkCntSample = vecDim >> 2; + while(blkCntSample > 0) + { + vst1q_f32(pOut, tmp); + pOut += 4; + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while(blkCntSample > 0) + { + *pOut = 0.0f; + pOut++; + blkCntSample--; + } + + /* Sum */ + + pIn1 = pIn; + pIn2 = pIn1 + vecDim; + pIn3 = pIn2 + vecDim; + pIn4 = pIn3 + vecDim; + + blkCntVector = nbVectors >> 2; + while(blkCntVector > 0) + { + pOut = out; + w1 = *pW++; + w2 = *pW++; + w3 = *pW++; + w4 = *pW++; + accum += w1 + w2 + w3 + w4; + + blkCntSample = vecDim >> 2; + while(blkCntSample > 0) + { + outV = vld1q_f32(pOut); + inV1 = vld1q_f32(pIn1); + inV2 = vld1q_f32(pIn2); + inV3 = vld1q_f32(pIn3); + inV4 = vld1q_f32(pIn4); + outV = vmlaq_n_f32(outV,inV1,w1); + outV = vmlaq_n_f32(outV,inV2,w2); + outV = vmlaq_n_f32(outV,inV3,w3); + outV = vmlaq_n_f32(outV,inV4,w4); + vst1q_f32(pOut, outV); + pOut += 4; + pIn1 += 4; + pIn2 += 4; + pIn3 += 4; + pIn4 += 4; + + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while(blkCntSample > 0) + { + *pOut = *pOut + *pIn1++ * w1; + *pOut = *pOut + *pIn2++ * w2; + *pOut = *pOut + *pIn3++ * w3; + *pOut = *pOut + *pIn4++ * w4; + pOut++; + blkCntSample--; + } + + pIn1 += 3*vecDim; + pIn2 += 3*vecDim; + pIn3 += 3*vecDim; + pIn4 += 3*vecDim; + + blkCntVector--; + } + + pIn = pIn1; + + blkCntVector = nbVectors & 3; + while(blkCntVector > 0) + { + pOut = out; + w = *pW++; + accum += w; + + blkCntSample = vecDim >> 2; + while(blkCntSample > 0) + { + outV = vld1q_f32(pOut); + inV = vld1q_f32(pIn); + outV = vmlaq_n_f32(outV,inV,w); + vst1q_f32(pOut, outV); + pOut += 4; + pIn += 4; + + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while(blkCntSample > 0) + { + *pOut = *pOut + *pIn++ * w; + pOut++; + blkCntSample--; + } + + blkCntVector--; + } + + /* Normalize */ + pOut = out; + accum = 1.0f / accum; + + blkCntSample = vecDim >> 2; + while(blkCntSample > 0) + { + tmp = vld1q_f32(pOut); + tmp = vmulq_n_f32(tmp,accum); + vst1q_f32(pOut, tmp); + pOut += 4; + blkCntSample--; + } + + blkCntSample = vecDim & 3; + while(blkCntSample > 0) + { + *pOut = *pOut * accum; + pOut++; + blkCntSample--; + } + +} +#else +void arm_barycenter_f32(const float32_t *in, const float32_t *weights, float32_t *out, uint32_t nbVectors,uint32_t vecDim) +{ + + const float32_t *pIn,*pW; + float32_t *pOut; + uint32_t blkCntVector,blkCntSample; + float32_t accum, w; + + blkCntVector = nbVectors; + blkCntSample = vecDim; + + accum = 0.0f; + + pW = weights; + pIn = in; + + /* Set counters to 0 */ + blkCntSample = vecDim; + pOut = out; + + while(blkCntSample > 0) + { + *pOut = 0.0f; + pOut++; + blkCntSample--; + } + + /* Sum */ + while(blkCntVector > 0) + { + pOut = out; + w = *pW++; + accum += w; + + blkCntSample = vecDim; + while(blkCntSample > 0) + { + *pOut = *pOut + *pIn++ * w; + pOut++; + blkCntSample--; + } + + blkCntVector--; + } + + /* Normalize */ + blkCntSample = vecDim; + pOut = out; + + while(blkCntSample > 0) + { + *pOut = *pOut / accum; + pOut++; + blkCntSample--; + } + +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupSupport group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_bitonic_sort_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_bitonic_sort_f32.c new file mode 100644 index 0000000..cbbb70f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_bitonic_sort_f32.c @@ -0,0 +1,1039 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bitonic_sort_f32.c + * Description: Floating point bitonic sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + + +#if !defined(ARM_MATH_NEON) + +static void arm_bitonic_sort_core_f32(float32_t *pSrc, uint32_t n, uint8_t dir) +{ + uint32_t step; + uint32_t k, j; + float32_t *leftPtr, *rightPtr; + float32_t temp; + + step = n>>1; + leftPtr = pSrc; + rightPtr = pSrc+n-1; + + for(k=0; k *rightPtr)) + { + // Swap + temp=*leftPtr; + *leftPtr=*rightPtr; + *rightPtr=temp; + } + + leftPtr++; // Move right + rightPtr--; // Move left + } + + // Merge + for(step=(n>>2); step>0; step/=2) + { + for(j=0; j *rightPtr) + { + // Swap + temp=*leftPtr; + *leftPtr=*rightPtr; + *rightPtr=temp; + } + + leftPtr++; + rightPtr++; + } + } + } +} +#endif + +#if defined(ARM_MATH_NEON) + + +static float32x4x2_t arm_bitonic_resort_8_f32(float32x4_t a, float32x4_t b, uint8_t dir) +{ + /* Start with two vectors: + * +---+---+---+---+ + * | a | b | c | d | + * +---+---+---+---+ + * +---+---+---+---+ + * | e | f | g | h | + * +---+---+---+---+ + * All the elements of the first are guaranteed to be less than or equal to + * all of the elements in the second, and both vectors are bitonic. + * We need to perform these operations to completely sort both lists: + * vminmax([abcd],[efgh]) + * vminmax([acbd],[egfh]) + */ + vtrn128_64q(a, b); + /* +---+---+---+---+ + * | a | b | e | f | + * +---+---+---+---+ + * +---+---+---+---+ + * | c | d | g | h | + * +---+---+---+---+ + */ + if(dir) + vminmaxq(a, b); + else + vminmaxq(b, a); + + vtrn128_32q(a, b); + /* +---+---+---+---+ + * | a | c | e | g | + * +---+---+---+---+ + * +---+---+---+---+ + * | b | d | f | h | + * +---+---+---+---+ + */ + if(dir) + vminmaxq(a, b); + else + vminmaxq(b, a); + + return vzipq_f32(a, b); +} + + +static float32x4x2_t arm_bitonic_merge_8_f32(float32x4_t a, float32x4_t b, uint8_t dir) +{ + /* a and b are guaranteed to be bitonic */ + // Reverse the element of the second vector + b = vrev128q_f32(b); + + // Compare the two vectors + if(dir) + vminmaxq(a, b); + else + vminmaxq(b, a); + + // Merge the two vectors + float32x4x2_t ab = arm_bitonic_resort_8_f32(a, b, dir); + + return ab; +} + +static void arm_bitonic_resort_16_f32(float32_t * pOut, float32x4x2_t a, float32x4x2_t b, uint8_t dir) +{ + /* Start with two vectors: + * +---+---+---+---+---+---+---+---+ + * | a | b | c | d | e | f | g | h | + * +---+---+---+---+---+---+---+---+ + * +---+---+---+---+---+---+---+---+ + * | i | j | k | l | m | n | o | p | + * +---+---+---+---+---+---+---+---+ + * All the elements of the first are guaranteed to be less than or equal to + * all of the elements in the second, and both vectors are bitonic. + * We need to perform these operations to completely sort both lists: + * vminmax([abcd],[efgh]) vminmax([ijkl],[mnop]) + * vminmax([abef],[cdgh]) vminmax([ijmn],[klop]) + * vminmax([acef],[bdfh]) vminmax([ikmo],[jlmp]) + */ + + vtrn256_128q(a, b); + /* +---+---+---+---+---+---+---+---+ + * | a | b | c | d | i | j | k | l | + * +---+---+---+---+---+---+---+---+ + * +---+---+---+---+---+---+---+---+ + * | e | f | g | h | m | n | o | p | + * +---+---+---+---+---+---+---+---+ + */ + if(dir) + vminmax256q(a, b); + else + vminmax256q(b, a); + + vtrn256_64q(a, b); + + /* +---+---+---+---+---+---+---+---+ + * | a | b | e | f | i | j | m | n | + * +---+---+---+---+---+---+---+---+ + * +---+---+---+---+---+---+---+---+ + * | c | d | g | h | k | l | o | p | + * +---+---+---+---+---+---+---+---+ + */ + if(dir) + vminmax256q(a, b); + else + vminmax256q(b, a); + + vtrn256_32q(a, b); + /* We now have: + * +---+---+---+---+---+---+---+---+ + * | a | c | e | g | i | k | m | o | + * +---+---+---+---+---+---+---+---+ + * +---+---+---+---+---+---+---+---+ + * | b | d | f | h | j | l | n | p | + * +---+---+---+---+---+---+---+---+ + */ + if(dir) + vminmax256q(a, b); + else + vminmax256q(b, a); + + float32x4x2_t out1 = vzipq_f32(a.val[0], b.val[0]); + float32x4x2_t out2 = vzipq_f32(a.val[1], b.val[1]); + + vst1q_f32(pOut, out1.val[0]); + vst1q_f32(pOut+4, out1.val[1]); + vst1q_f32(pOut+8, out2.val[0]); + vst1q_f32(pOut+12, out2.val[1]); +} + +static void arm_bitonic_merge_16_f32(float32_t * pOut, float32x4x2_t a, float32x4x2_t b, uint8_t dir) +{ + // Merge two preordered float32x4x2_t + vrev256q_f32(b); + + if(dir) + vminmax256q(a, b); + else + vminmax256q(b, a); + + arm_bitonic_resort_16_f32(pOut, a, b, dir); +} + +static void arm_bitonic_sort_16_f32(float32_t *pSrc, float32_t *pDst, uint8_t dir) +{ + float32x4_t a; + float32x4_t b; + float32x4_t c; + float32x4_t d; + + // Load 16 samples + a = vld1q_f32(pSrc); + b = vld1q_f32(pSrc+4); + c = vld1q_f32(pSrc+8); + d = vld1q_f32(pSrc+12); + + // Bitonic sorting network for 4 samples x 4 times + if(dir) + { + vminmaxq(a, b); + vminmaxq(c, d); + + vminmaxq(a, d); + vminmaxq(b, c); + + vminmaxq(a, b); + vminmaxq(c, d); + } + else + { + vminmaxq(b, a); + vminmaxq(d, c); + + vminmaxq(d, a); + vminmaxq(c, b); + + vminmaxq(b, a); + vminmaxq(d, c); + } + + float32x4x2_t ab = vtrnq_f32 (a, b); + float32x4x2_t cd = vtrnq_f32 (c, d); + + // Transpose 4 ordered arrays of 4 samples + a = vcombine_f32(vget_low_f32(ab.val[0]), vget_low_f32(cd.val[0])); + b = vcombine_f32(vget_low_f32(ab.val[1]), vget_low_f32(cd.val[1])); + c = vcombine_f32(vget_high_f32(ab.val[0]), vget_high_f32(cd.val[0])); + d = vcombine_f32(vget_high_f32(ab.val[1]), vget_high_f32(cd.val[1])); + + // Merge pairs of arrays of 4 samples + ab = arm_bitonic_merge_8_f32(a, b, dir); + cd = arm_bitonic_merge_8_f32(c, d, dir); + + // Merge arrays of 8 samples + arm_bitonic_merge_16_f32(pDst, ab, cd, dir); +} + + + + + +static void arm_bitonic_merge_32_f32(float32_t * pSrc, float32x4x2_t ab1, float32x4x2_t ab2, float32x4x2_t cd1, float32x4x2_t cd2, uint8_t dir) +{ + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + } + //Transpose 256 + float32x4_t temp; + + temp = ab2.val[0]; + ab2.val[0] = cd1.val[0]; + cd1.val[0] = temp; + temp = ab2.val[1]; + ab2.val[1] = cd1.val[1]; + cd1.val[1] = temp; + + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + } + + //Transpose 128 + arm_bitonic_merge_16_f32(pSrc+0, ab1, cd1, dir); + arm_bitonic_merge_16_f32(pSrc+16, ab2, cd2, dir); +} + +static void arm_bitonic_merge_64_f32(float32_t * pSrc, uint8_t dir) +{ + float32x4x2_t ab1, ab2, ab3, ab4; + float32x4x2_t cd1, cd2, cd3, cd4; + + //Load and reverse second array + ab1.val[0] = vld1q_f32(pSrc+0 ); + ab1.val[1] = vld1q_f32(pSrc+4 ); + ab2.val[0] = vld1q_f32(pSrc+8 ); + ab2.val[1] = vld1q_f32(pSrc+12); + ab3.val[0] = vld1q_f32(pSrc+16); + ab3.val[1] = vld1q_f32(pSrc+20); + ab4.val[0] = vld1q_f32(pSrc+24); + ab4.val[1] = vld1q_f32(pSrc+28); + + vldrev128q_f32(cd4.val[1], pSrc+32); + vldrev128q_f32(cd4.val[0], pSrc+36); + vldrev128q_f32(cd3.val[1], pSrc+40); + vldrev128q_f32(cd3.val[0], pSrc+44); + vldrev128q_f32(cd2.val[1], pSrc+48); + vldrev128q_f32(cd2.val[0], pSrc+52); + vldrev128q_f32(cd1.val[1], pSrc+56); + vldrev128q_f32(cd1.val[0], pSrc+60); + + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + vminmax256q(ab3, cd3); + vminmax256q(ab4, cd4); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + vminmax256q(cd3, ab3); + vminmax256q(cd4, ab4); + } + + //Transpose 512 + float32x4_t temp; + + temp = ab3.val[0]; + ab3.val[0] = cd1.val[0]; + cd1.val[0] = temp; + temp = ab3.val[1]; + ab3.val[1] = cd1.val[1]; + cd1.val[1] = temp; + temp = ab4.val[0]; + ab4.val[0] = cd2.val[0]; + cd2.val[0] = temp; + temp = ab4.val[1]; + ab4.val[1] = cd2.val[1]; + cd2.val[1] = temp; + + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + vminmax256q(ab3, cd3); + vminmax256q(ab4, cd4); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + vminmax256q(cd3, ab3); + vminmax256q(cd4, ab4); + } + + //Transpose 256 + arm_bitonic_merge_32_f32(pSrc+0, ab1, ab2, cd1, cd2, dir); + arm_bitonic_merge_32_f32(pSrc+32, ab3, ab4, cd3, cd4, dir); +} + +static void arm_bitonic_merge_128_f32(float32_t * pSrc, uint8_t dir) +{ + float32x4x2_t ab1, ab2, ab3, ab4, ab5, ab6, ab7, ab8; + float32x4x2_t cd1, cd2, cd3, cd4, cd5, cd6, cd7, cd8; + + //Load and reverse second array + ab1.val[0] = vld1q_f32(pSrc+0 ); + ab1.val[1] = vld1q_f32(pSrc+4 ); + ab2.val[0] = vld1q_f32(pSrc+8 ); + ab2.val[1] = vld1q_f32(pSrc+12); + ab3.val[0] = vld1q_f32(pSrc+16); + ab3.val[1] = vld1q_f32(pSrc+20); + ab4.val[0] = vld1q_f32(pSrc+24); + ab4.val[1] = vld1q_f32(pSrc+28); + ab5.val[0] = vld1q_f32(pSrc+32); + ab5.val[1] = vld1q_f32(pSrc+36); + ab6.val[0] = vld1q_f32(pSrc+40); + ab6.val[1] = vld1q_f32(pSrc+44); + ab7.val[0] = vld1q_f32(pSrc+48); + ab7.val[1] = vld1q_f32(pSrc+52); + ab8.val[0] = vld1q_f32(pSrc+56); + ab8.val[1] = vld1q_f32(pSrc+60); + + vldrev128q_f32(cd8.val[1], pSrc+64); + vldrev128q_f32(cd8.val[0], pSrc+68); + vldrev128q_f32(cd7.val[1], pSrc+72); + vldrev128q_f32(cd7.val[0], pSrc+76); + vldrev128q_f32(cd6.val[1], pSrc+80); + vldrev128q_f32(cd6.val[0], pSrc+84); + vldrev128q_f32(cd5.val[1], pSrc+88); + vldrev128q_f32(cd5.val[0], pSrc+92); + vldrev128q_f32(cd4.val[1], pSrc+96); + vldrev128q_f32(cd4.val[0], pSrc+100); + vldrev128q_f32(cd3.val[1], pSrc+104); + vldrev128q_f32(cd3.val[0], pSrc+108); + vldrev128q_f32(cd2.val[1], pSrc+112); + vldrev128q_f32(cd2.val[0], pSrc+116); + vldrev128q_f32(cd1.val[1], pSrc+120); + vldrev128q_f32(cd1.val[0], pSrc+124); + + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + vminmax256q(ab3, cd3); + vminmax256q(ab4, cd4); + vminmax256q(ab5, cd5); + vminmax256q(ab6, cd6); + vminmax256q(ab7, cd7); + vminmax256q(ab8, cd8); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + vminmax256q(cd3, ab3); + vminmax256q(cd4, ab4); + vminmax256q(cd5, ab5); + vminmax256q(cd6, ab6); + vminmax256q(cd7, ab7); + vminmax256q(cd8, ab8); + } + + //Transpose + float32x4_t temp; + + temp = ab5.val[0]; + ab5.val[0] = cd1.val[0]; + cd1.val[0] = temp; + temp = ab5.val[1]; + ab5.val[1] = cd1.val[1]; + cd1.val[1] = temp; + temp = ab6.val[0]; + ab6.val[0] = cd2.val[0]; + cd2.val[0] = temp; + temp = ab6.val[1]; + ab6.val[1] = cd2.val[1]; + cd2.val[1] = temp; + temp = ab7.val[0]; + ab7.val[0] = cd3.val[0]; + cd3.val[0] = temp; + temp = ab7.val[1]; + ab7.val[1] = cd3.val[1]; + cd3.val[1] = temp; + temp = ab8.val[0]; + ab8.val[0] = cd4.val[0]; + cd4.val[0] = temp; + temp = ab8.val[1]; + ab8.val[1] = cd4.val[1]; + cd4.val[1] = temp; + + //Compare + if(dir) + { + vminmax256q(ab1, cd1); + vminmax256q(ab2, cd2); + vminmax256q(ab3, cd3); + vminmax256q(ab4, cd4); + vminmax256q(ab5, cd5); + vminmax256q(ab6, cd6); + vminmax256q(ab7, cd7); + vminmax256q(ab8, cd8); + } + else + { + vminmax256q(cd1, ab1); + vminmax256q(cd2, ab2); + vminmax256q(cd3, ab3); + vminmax256q(cd4, ab4); + vminmax256q(cd5, ab5); + vminmax256q(cd6, ab6); + vminmax256q(cd7, ab7); + vminmax256q(cd8, ab8); + } + + vst1q_f32(pSrc, ab1.val[0]); + vst1q_f32(pSrc+4, ab1.val[1]); + vst1q_f32(pSrc+8, ab2.val[0]); + vst1q_f32(pSrc+12, ab2.val[1]); + vst1q_f32(pSrc+16, ab3.val[0]); + vst1q_f32(pSrc+20, ab3.val[1]); + vst1q_f32(pSrc+24, ab4.val[0]); + vst1q_f32(pSrc+28, ab4.val[1]); + vst1q_f32(pSrc+32, cd1.val[0]); + vst1q_f32(pSrc+36, cd1.val[1]); + vst1q_f32(pSrc+40, cd2.val[0]); + vst1q_f32(pSrc+44, cd2.val[1]); + vst1q_f32(pSrc+48, cd3.val[0]); + vst1q_f32(pSrc+52, cd3.val[1]); + vst1q_f32(pSrc+56, cd4.val[0]); + vst1q_f32(pSrc+60, cd4.val[1]); + vst1q_f32(pSrc+64, ab5.val[0]); + vst1q_f32(pSrc+68, ab5.val[1]); + vst1q_f32(pSrc+72, ab6.val[0]); + vst1q_f32(pSrc+76, ab6.val[1]); + vst1q_f32(pSrc+80, ab7.val[0]); + vst1q_f32(pSrc+84, ab7.val[1]); + vst1q_f32(pSrc+88, ab8.val[0]); + vst1q_f32(pSrc+92, ab8.val[1]); + vst1q_f32(pSrc+96, cd5.val[0]); + vst1q_f32(pSrc+100, cd5.val[1]); + vst1q_f32(pSrc+104, cd6.val[0]); + vst1q_f32(pSrc+108, cd6.val[1]); + vst1q_f32(pSrc+112, cd7.val[0]); + vst1q_f32(pSrc+116, cd7.val[1]); + vst1q_f32(pSrc+120, cd8.val[0]); + vst1q_f32(pSrc+124, cd8.val[1]); + + //Transpose + arm_bitonic_merge_64_f32(pSrc+0 , dir); + arm_bitonic_merge_64_f32(pSrc+64, dir); +} + +static void arm_bitonic_merge_256_f32(float32_t * pSrc, uint8_t dir) +{ + float32x4x2_t ab1, ab2, ab3, ab4, ab5, ab6, ab7, ab8; + float32x4x2_t ab9, ab10, ab11, ab12, ab13, ab14, ab15, ab16; + float32x4x2_t cd1, cd2, cd3, cd4, cd5, cd6, cd7, cd8; + float32x4x2_t cd9, cd10, cd11, cd12, cd13, cd14, cd15, cd16; + + //Load and reverse second array + ab1.val[0] = vld1q_f32(pSrc+0 ); + ab1.val[1] = vld1q_f32(pSrc+4 ); + ab2.val[0] = vld1q_f32(pSrc+8 ); + ab2.val[1] = vld1q_f32(pSrc+12 ); + ab3.val[0] = vld1q_f32(pSrc+16 ); + ab3.val[1] = vld1q_f32(pSrc+20 ); + ab4.val[0] = vld1q_f32(pSrc+24 ); + ab4.val[1] = vld1q_f32(pSrc+28 ); + ab5.val[0] = vld1q_f32(pSrc+32 ); + ab5.val[1] = vld1q_f32(pSrc+36 ); + ab6.val[0] = vld1q_f32(pSrc+40 ); + ab6.val[1] = vld1q_f32(pSrc+44 ); + ab7.val[0] = vld1q_f32(pSrc+48 ); + ab7.val[1] = vld1q_f32(pSrc+52 ); + ab8.val[0] = vld1q_f32(pSrc+56 ); + ab8.val[1] = vld1q_f32(pSrc+60 ); + ab9.val[0] = vld1q_f32(pSrc+64 ); + ab9.val[1] = vld1q_f32(pSrc+68 ); + ab10.val[0] = vld1q_f32(pSrc+72 ); + ab10.val[1] = vld1q_f32(pSrc+76 ); + ab11.val[0] = vld1q_f32(pSrc+80 ); + ab11.val[1] = vld1q_f32(pSrc+84 ); + ab12.val[0] = vld1q_f32(pSrc+88 ); + ab12.val[1] = vld1q_f32(pSrc+92 ); + ab13.val[0] = vld1q_f32(pSrc+96 ); + ab13.val[1] = vld1q_f32(pSrc+100); + ab14.val[0] = vld1q_f32(pSrc+104); + ab14.val[1] = vld1q_f32(pSrc+108); + ab15.val[0] = vld1q_f32(pSrc+112); + ab15.val[1] = vld1q_f32(pSrc+116); + ab16.val[0] = vld1q_f32(pSrc+120); + ab16.val[1] = vld1q_f32(pSrc+124); + + vldrev128q_f32(cd16.val[1], pSrc+128); + vldrev128q_f32(cd16.val[0], pSrc+132); + vldrev128q_f32(cd15.val[1], pSrc+136); + vldrev128q_f32(cd15.val[0], pSrc+140); + vldrev128q_f32(cd14.val[1], pSrc+144); + vldrev128q_f32(cd14.val[0], pSrc+148); + vldrev128q_f32(cd13.val[1], pSrc+152); + vldrev128q_f32(cd13.val[0], pSrc+156); + vldrev128q_f32(cd12.val[1], pSrc+160); + vldrev128q_f32(cd12.val[0], pSrc+164); + vldrev128q_f32(cd11.val[1], pSrc+168); + vldrev128q_f32(cd11.val[0], pSrc+172); + vldrev128q_f32(cd10.val[1], pSrc+176); + vldrev128q_f32(cd10.val[0], pSrc+180); + vldrev128q_f32(cd9.val[1] , pSrc+184); + vldrev128q_f32(cd9.val[0] , pSrc+188); + vldrev128q_f32(cd8.val[1] , pSrc+192); + vldrev128q_f32(cd8.val[0] , pSrc+196); + vldrev128q_f32(cd7.val[1] , pSrc+200); + vldrev128q_f32(cd7.val[0] , pSrc+204); + vldrev128q_f32(cd6.val[1] , pSrc+208); + vldrev128q_f32(cd6.val[0] , pSrc+212); + vldrev128q_f32(cd5.val[1] , pSrc+216); + vldrev128q_f32(cd5.val[0] , pSrc+220); + vldrev128q_f32(cd4.val[1] , pSrc+224); + vldrev128q_f32(cd4.val[0] , pSrc+228); + vldrev128q_f32(cd3.val[1] , pSrc+232); + vldrev128q_f32(cd3.val[0] , pSrc+236); + vldrev128q_f32(cd2.val[1] , pSrc+240); + vldrev128q_f32(cd2.val[0] , pSrc+244); + vldrev128q_f32(cd1.val[1] , pSrc+248); + vldrev128q_f32(cd1.val[0] , pSrc+252); + + //Compare + if(dir) + { + vminmax256q(ab1 , cd1 ); + vminmax256q(ab2 , cd2 ); + vminmax256q(ab3 , cd3 ); + vminmax256q(ab4 , cd4 ); + vminmax256q(ab5 , cd5 ); + vminmax256q(ab6 , cd6 ); + vminmax256q(ab7 , cd7 ); + vminmax256q(ab8 , cd8 ); + vminmax256q(ab9 , cd9 ); + vminmax256q(ab10, cd10); + vminmax256q(ab11, cd11); + vminmax256q(ab12, cd12); + vminmax256q(ab13, cd13); + vminmax256q(ab14, cd14); + vminmax256q(ab15, cd15); + vminmax256q(ab16, cd16); + } + else + { + vminmax256q(cd1 , ab1 ); + vminmax256q(cd2 , ab2 ); + vminmax256q(cd3 , ab3 ); + vminmax256q(cd4 , ab4 ); + vminmax256q(cd5 , ab5 ); + vminmax256q(cd6 , ab6 ); + vminmax256q(cd7 , ab7 ); + vminmax256q(cd8 , ab8 ); + vminmax256q(cd9 , ab9 ); + vminmax256q(cd10, ab10); + vminmax256q(cd11, ab11); + vminmax256q(cd12, ab12); + vminmax256q(cd13, ab13); + vminmax256q(cd14, ab14); + vminmax256q(cd15, ab15); + vminmax256q(cd16, ab16); + } + + //Transpose + float32x4_t temp; + + temp = ab9.val[0]; + ab9.val[0] = cd1.val[0]; + cd1.val[0] = temp; + temp = ab9.val[1]; + ab9.val[1] = cd1.val[1]; + cd1.val[1] = temp; + temp = ab10.val[0]; + ab10.val[0] = cd2.val[0]; + cd2.val[0] = temp; + temp = ab10.val[1]; + ab10.val[1] = cd2.val[1]; + cd2.val[1] = temp; + temp = ab11.val[0]; + ab11.val[0] = cd3.val[0]; + cd3.val[0] = temp; + temp = ab11.val[1]; + ab11.val[1] = cd3.val[1]; + cd3.val[1] = temp; + temp = ab12.val[0]; + ab12.val[0] = cd4.val[0]; + cd4.val[0] = temp; + temp = ab12.val[1]; + ab12.val[1] = cd4.val[1]; + cd4.val[1] = temp; + temp = ab13.val[0]; + ab13.val[0] = cd5.val[0]; + cd5.val[0] = temp; + temp = ab13.val[1]; + ab13.val[1] = cd5.val[1]; + cd5.val[1] = temp; + temp = ab14.val[0]; + ab14.val[0] = cd6.val[0]; + cd6.val[0] = temp; + temp = ab14.val[1]; + ab14.val[1] = cd6.val[1]; + cd6.val[1] = temp; + temp = ab15.val[0]; + ab15.val[0] = cd7.val[0]; + cd7.val[0] = temp; + temp = ab15.val[1]; + ab15.val[1] = cd7.val[1]; + cd7.val[1] = temp; + temp = ab16.val[0]; + ab16.val[0] = cd8.val[0]; + cd8.val[0] = temp; + temp = ab16.val[1]; + ab16.val[1] = cd8.val[1]; + cd8.val[1] = temp; + + //Compare + if(dir) + { + vminmax256q(ab1 , cd1 ); + vminmax256q(ab2 , cd2 ); + vminmax256q(ab3 , cd3 ); + vminmax256q(ab4 , cd4 ); + vminmax256q(ab5 , cd5 ); + vminmax256q(ab6 , cd6 ); + vminmax256q(ab7 , cd7 ); + vminmax256q(ab8 , cd8 ); + vminmax256q(ab9 , cd9 ); + vminmax256q(ab10, cd10); + vminmax256q(ab11, cd11); + vminmax256q(ab12, cd12); + vminmax256q(ab13, cd13); + vminmax256q(ab14, cd14); + vminmax256q(ab15, cd15); + vminmax256q(ab16, cd16); + } + else + { + vminmax256q(cd1 , ab1 ); + vminmax256q(cd2 , ab2 ); + vminmax256q(cd3 , ab3 ); + vminmax256q(cd4 , ab4 ); + vminmax256q(cd5 , ab5 ); + vminmax256q(cd6 , ab6 ); + vminmax256q(cd7 , ab7 ); + vminmax256q(cd8 , ab8 ); + vminmax256q(cd9 , ab9 ); + vminmax256q(cd10, ab10); + vminmax256q(cd11, ab11); + vminmax256q(cd12, ab12); + vminmax256q(cd13, ab13); + vminmax256q(cd14, ab14); + vminmax256q(cd15, ab15); + vminmax256q(cd16, ab16); + } + + vst1q_f32(pSrc, ab1.val[0] ); + vst1q_f32(pSrc+4, ab1.val[1] ); + vst1q_f32(pSrc+8, ab2.val[0] ); + vst1q_f32(pSrc+12, ab2.val[1] ); + vst1q_f32(pSrc+16, ab3.val[0] ); + vst1q_f32(pSrc+20, ab3.val[1] ); + vst1q_f32(pSrc+24, ab4.val[0] ); + vst1q_f32(pSrc+28, ab4.val[1] ); + vst1q_f32(pSrc+32, ab5.val[0] ); + vst1q_f32(pSrc+36, ab5.val[1] ); + vst1q_f32(pSrc+40, ab6.val[0] ); + vst1q_f32(pSrc+44, ab6.val[1] ); + vst1q_f32(pSrc+48, ab7.val[0] ); + vst1q_f32(pSrc+52, ab7.val[1] ); + vst1q_f32(pSrc+56, ab8.val[0] ); + vst1q_f32(pSrc+60, ab8.val[1] ); + vst1q_f32(pSrc+64, cd1.val[0] ); + vst1q_f32(pSrc+68, cd1.val[1] ); + vst1q_f32(pSrc+72, cd2.val[0] ); + vst1q_f32(pSrc+76, cd2.val[1] ); + vst1q_f32(pSrc+80, cd3.val[0] ); + vst1q_f32(pSrc+84, cd3.val[1] ); + vst1q_f32(pSrc+88, cd4.val[0] ); + vst1q_f32(pSrc+92, cd4.val[1] ); + vst1q_f32(pSrc+96, cd5.val[0] ); + vst1q_f32(pSrc+100, cd5.val[1] ); + vst1q_f32(pSrc+104, cd6.val[0] ); + vst1q_f32(pSrc+108, cd6.val[1] ); + vst1q_f32(pSrc+112, cd7.val[0] ); + vst1q_f32(pSrc+116, cd7.val[1] ); + vst1q_f32(pSrc+120, cd8.val[0] ); + vst1q_f32(pSrc+124, cd8.val[1] ); + vst1q_f32(pSrc+128, ab9.val[0] ); + vst1q_f32(pSrc+132, ab9.val[1] ); + vst1q_f32(pSrc+136, ab10.val[0]); + vst1q_f32(pSrc+140, ab10.val[1]); + vst1q_f32(pSrc+144, ab11.val[0]); + vst1q_f32(pSrc+148, ab11.val[1]); + vst1q_f32(pSrc+152, ab12.val[0]); + vst1q_f32(pSrc+156, ab12.val[1]); + vst1q_f32(pSrc+160, ab13.val[0]); + vst1q_f32(pSrc+164, ab13.val[1]); + vst1q_f32(pSrc+168, ab14.val[0]); + vst1q_f32(pSrc+172, ab14.val[1]); + vst1q_f32(pSrc+176, ab15.val[0]); + vst1q_f32(pSrc+180, ab15.val[1]); + vst1q_f32(pSrc+184, ab16.val[0]); + vst1q_f32(pSrc+188, ab16.val[1]); + vst1q_f32(pSrc+192, cd9.val[0] ); + vst1q_f32(pSrc+196, cd9.val[1] ); + vst1q_f32(pSrc+200, cd10.val[0]); + vst1q_f32(pSrc+204, cd10.val[1]); + vst1q_f32(pSrc+208, cd11.val[0]); + vst1q_f32(pSrc+212, cd11.val[1]); + vst1q_f32(pSrc+216, cd12.val[0]); + vst1q_f32(pSrc+220, cd12.val[1]); + vst1q_f32(pSrc+224, cd13.val[0]); + vst1q_f32(pSrc+228, cd13.val[1]); + vst1q_f32(pSrc+232, cd14.val[0]); + vst1q_f32(pSrc+236, cd14.val[1]); + vst1q_f32(pSrc+240, cd15.val[0]); + vst1q_f32(pSrc+244, cd15.val[1]); + vst1q_f32(pSrc+248, cd16.val[0]); + vst1q_f32(pSrc+252, cd16.val[1]); + + //Transpose + arm_bitonic_merge_128_f32(pSrc+0 , dir); + arm_bitonic_merge_128_f32(pSrc+128, dir); +} + +#define SWAP(a,i,j) \ + temp = vgetq_lane_f32(a, j); \ + a = vsetq_lane_f32(vgetq_lane_f32(a, i), a, j);\ + a = vsetq_lane_f32(temp, a, i); + +static float32x4_t arm_bitonic_sort_4_f32(float32x4_t a, uint8_t dir) +{ + float32_t temp; + + + if( dir==(vgetq_lane_f32(a, 0) > vgetq_lane_f32(a, 1)) ) + { + SWAP(a,0,1); + } + if( dir==(vgetq_lane_f32(a, 2) > vgetq_lane_f32(a, 3)) ) + { + SWAP(a,2,3); + } + + if( dir==(vgetq_lane_f32(a, 0) > vgetq_lane_f32(a, 3)) ) + { + SWAP(a,0,3); + } + if( dir==(vgetq_lane_f32(a, 1) > vgetq_lane_f32(a, 2)) ) + { + SWAP(a,1,2); + } + + if( dir==(vgetq_lane_f32(a, 0) > vgetq_lane_f32(a, 1)) ) + { + SWAP(a,0,1); + } + if( dir==(vgetq_lane_f32(a, 2)>vgetq_lane_f32(a, 3)) ) + { + SWAP(a,2,3); + } + + return a; +} + +static float32x4x2_t arm_bitonic_sort_8_f32(float32x4_t a, float32x4_t b, uint8_t dir) +{ + a = arm_bitonic_sort_4_f32(a, dir); + b = arm_bitonic_sort_4_f32(b, dir); + return arm_bitonic_merge_8_f32(a, b, dir); +} + + + +#endif + +/** + @ingroup groupSupport + */ + +/** + @defgroup Sorting Vector sorting algorithms + + Sort the elements of a vector + + There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ +void arm_bitonic_sort_f32( +const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint16_t s, i; + uint8_t dir = S->dir; + +#ifdef ARM_MATH_NEON + (void)s; + + float32_t * pOut; + uint16_t counter = blockSize>>5; + + if( (blockSize & (blockSize-1)) == 0 ) // Powers of 2 only + { + if(pSrc == pDst) // in-place + pOut = pSrc; + else + pOut = pDst; + + float32x4x2_t ab1, ab2; + float32x4x2_t cd1, cd2; + + if(blockSize == 1) + pOut = pSrc; + else if(blockSize == 2) + { + float32_t temp; + + if( dir==(pSrc[0]>pSrc[1]) ) + { + temp = pSrc[1]; + pOut[1] = pSrc[0]; + pOut[0] = temp; + } + else + pOut = pSrc; + } + else if(blockSize == 4) + { + float32x4_t a = vld1q_f32(pSrc); + + a = arm_bitonic_sort_4_f32(a, dir); + + vst1q_f32(pOut, a); + } + else if(blockSize == 8) + { + float32x4_t a; + float32x4_t b; + float32x4x2_t ab; + + a = vld1q_f32(pSrc); + b = vld1q_f32(pSrc+4); + + ab = arm_bitonic_sort_8_f32(a, b, dir); + + vst1q_f32(pOut, ab.val[0]); + vst1q_f32(pOut+4, ab.val[1]); + } + else if(blockSize >=16) + { + // Order 16 bits long vectors + for(i=0; i>1; + for(i=0; i>1; + for(i=0; i>1; + for(i=0; idir; + uint32_t i; + uint8_t swapped =1; + float32_t * pA; + float32_t temp; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + while(swapped==1) // If nothing has been swapped after one loop stop + { + swapped=0; + + for(i=0; ipA[i+1])) + { + // Swap + temp = pA[i]; + pA[i] = pA[i+1]; + pA[i+1] = temp; + + // Update flag + swapped = 1; + } + } + + blockSize--; + } +} + +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_f32.c new file mode 100644 index 0000000..181a9ca --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_f32.c + * Description: Copies the elements of a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @defgroup copy Vector Copy + + Copies sample by sample from source vector to destination vector. + + 
+      pDst[n] = pSrc[n];   0 <= n < blockSize.
+
+ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a floating-point vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + vstrwq_f32(pDst, vldrwq_f32(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + inV = vld1q_f32(pSrc); + vst1q_f32(pDst, inV); + pSrc += 4; + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of BasicCopy group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q15.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q15.c new file mode 100644 index 0000000..d99f725 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q15.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q15.c + * Description: Copies the elements of a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q15 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + vstrhq_s16(pDst,vldrhq_s16(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 8; + pDst += 8; + blkCnt --; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* read 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc)); + write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q31.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q31.c new file mode 100644 index 0000000..4b748a5 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q31.c @@ -0,0 +1,135 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q31.c + * Description: Copies the elements of a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q31 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + vstrwq_s32(pDst,vldrwq_s32(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q7.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q7.c new file mode 100644 index 0000000..33ee4f0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_copy_q7.c @@ -0,0 +1,132 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q7.c + * Description: Copies the elements of a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup copy + @{ + */ + +/** + @brief Copies the elements of a Q7 vector. + @param[in] pSrc points to input vector + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + + vstrbq_s8(pDst,vldrbq_s8(pSrc)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 16; + pDst += 16; + blkCnt --; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A */ + + /* read 4 samples at a time */ + write_q7x4_ia (&pDst, read_q7x4_ia ((q7_t **) &pSrc)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A */ + + /* Copy and store result in destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of BasicCopy group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_f32.c new file mode 100644 index 0000000..2c40773 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_f32.c @@ -0,0 +1,189 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_f32.c + * Description: Fills a constant value into a floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @defgroup Fill Vector Fill + + Fills the destination vector with a constant value. + + 
+      pDst[n] = value;   0 <= n < blockSize.
+
+ + There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a floating-point vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + + vstrwq_f32(pDst,vdupq_n_f32(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + + float32x4_t inV = vdupq_n_f32(value); + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + vst1q_f32(pDst, inV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of Fill group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q15.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q15.c new file mode 100644 index 0000000..7e17c0e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q15.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q15.c + * Description: Fills a constant value into a Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q15 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + + vstrhq_s16(pDst,vdupq_n_s16(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 8; + blkCnt --; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t packedValue; /* value packed to 32 bits */ + + /* Packing two 16 bit values to 32 bit value in order to use SIMD */ + packedValue = __PKHBT(value, value, 16U); + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* fill 2 times 2 samples at a time */ + write_q15x2_ia (&pDst, packedValue); + write_q15x2_ia (&pDst, packedValue); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q31.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q31.c new file mode 100644 index 0000000..1f9d77e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q31.c @@ -0,0 +1,135 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q31.c + * Description: Fills a constant value into a Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q31 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time */ + while (blkCnt > 0U) + { + + vstrwq_s32(pDst,vdupq_n_s32(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + +} + +#else +void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q7.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q7.c new file mode 100644 index 0000000..6d78540 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_fill_q7.c @@ -0,0 +1,133 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q7.c + * Description: Fills a constant value into a Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Fill + @{ + */ + +/** + @brief Fills a constant value into a Q7 vector. + @param[in] value input value to be filled + @param[out] pDst points to output vector + @param[in] blockSize number of samples in each vector + @return none + */ +#if defined(ARM_MATH_MVEI) +void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + + vstrbq_s8(pDst,vdupq_n_s8(value)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 16; + blkCnt --; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t packedValue; /* value packed to 32 bits */ + + /* Packing four 8 bit values to 32 bit value in order to use SIMD */ + packedValue = __PACKq7(value, value, value, value); + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = value */ + + /* fill 4 samples at a time */ + write_q7x4_ia (&pDst, packedValue); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = value */ + + /* Fill value in destination buffer */ + *pDst++ = value; + + /* Decrement loop counter */ + blkCnt--; + } +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of Fill group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q15.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q15.c new file mode 100644 index 0000000..21f15e9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q15.c @@ -0,0 +1,308 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q15.c + * Description: Converts the elements of the floating-point vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + @brief Converts the elements of the floating-point vector to Q15 vector. + @param[in] pSrc points to the floating-point input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.
+
+ + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + + @note + In order to apply rounding, the library should be rebuilt with the ROUNDING macro + defined in the preprocessor section of project options. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t maxQ = (float32_t) Q15_MAX; + f32x4x2_t tmp; + q15x8_t vecDst; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + tmp = vld2q(pSrc); + + tmp.val[0] = vmulq(tmp.val[0], maxQ); + tmp.val[1] = vmulq(tmp.val[1], maxQ); + + vecDst = vqmovnbq(vecDst, vcvtaq_s32_f32(tmp.val[0])); + vecDst = vqmovntq(vecDst, vcvtaq_s32_f32(tmp.val[1])); + vst1q(pDst, vecDst); + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + pDst += 8; + pSrc += 8; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrc++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pSrc++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 32768.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 32768.0f); + float32x4_t r; + uint32x4_t cmp; + float32_t in; + #endif + + int32x4_t cvt; + int16x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + + pIn += 4; + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + + cvt = vcvtq_n_s32_f32(inV,15); + outV = vqmovn_s32(cvt); + + vst1_s16(pDst, outV); + pDst += 4; + pIn += 4; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 32768 */ + + /* convert from float to Q15 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* Convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q31.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q31.c new file mode 100644 index 0000000..e24f94d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q31.c @@ -0,0 +1,314 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q31.c + * Description: Converts the elements of the floating-point vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup float_to_x Convert 32-bit floating point value + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + @brief Converts the elements of the floating-point vector to Q31 vector. + @param[in] pSrc points to the floating-point input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.
+
+ + @par Scaling and Overflow Behavior + The function uses saturating arithmetic. + Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated. + + @note + In order to apply rounding, the library should be rebuilt with the ROUNDING macro + defined in the preprocessor section of project options. + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + float32_t maxQ = (float32_t) Q31_MAX; + f32x4_t vecDst; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. */ + while (blkCnt > 0U) + { + + vecDst = vldrwq_f32(pSrc); + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + vecDst = vmulq(vecDst, maxQ); + + vstrwq_s32(pDst, vcvtaq_s32_f32(vecDst)); + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pSrc += 4; + pDst += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrc++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pSrc++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON) +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32_t in; + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 2147483648.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 2147483648.0f); + float32x4_t r; + uint32x4_t cmp; + #endif + + int32x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 32768 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + + pIn += 4; + + outV = vcvtq_n_s32_f32(inV,31); + + vst1q_s32(pDst, outV); + pDst += 4; + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + + outV = vcvtq_n_s32_f32(inV,31); + + vst1q_s32(pDst, outV); + pDst += 4; + pIn += 4; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + +} +#else +void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 2147483648 */ + + /* convert from float to Q31 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* Convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q7.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q7.c new file mode 100644 index 0000000..05f842f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_float_to_q7.c @@ -0,0 +1,330 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q7.c + * Description: Converts the elements of the floating-point vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup float_to_x + @{ + */ + +/** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + *\par Description: + * \par + * The equation used for the conversion process is: + * 
+ * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.
+ *
+ * \par Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + * \note + * In order to apply rounding, the library should be rebuilt with the ROUNDING macro + * defined in the preprocessor section of project options. + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + float32_t maxQ = powf(2.0, 7); + f32x4x4_t tmp; + q15x8_t evVec, oddVec; + q7x16_t vecDst; + float32_t const *pSrcVec; +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif + + pSrcVec = (float32_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) { + tmp = vld4q(pSrcVec); + pSrcVec += 16; + /* + * C = A * 128.0 + * convert from float to q7 and then store the results in the destination buffer + */ + tmp.val[0] = vmulq(tmp.val[0], maxQ); + tmp.val[1] = vmulq(tmp.val[1], maxQ); + tmp.val[2] = vmulq(tmp.val[2], maxQ); + tmp.val[3] = vmulq(tmp.val[3], maxQ); + + /* + * convert and pack evens + */ + evVec = vqmovnbq(evVec, vcvtaq_s32_f32(tmp.val[0])); + evVec = vqmovntq(evVec, vcvtaq_s32_f32(tmp.val[2])); + /* + * convert and pack odds + */ + oddVec = vqmovnbq(oddVec, vcvtaq_s32_f32(tmp.val[1])); + oddVec = vqmovntq(oddVec, vcvtaq_s32_f32(tmp.val[3])); + /* + * merge + */ + vecDst = vqmovnbq(vecDst, evVec); + vecDst = vqmovntq(vecDst, oddVec); + + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pSrcVec++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = (q7_t) __SSAT((q31_t) (*pSrcVec++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +#if defined(ARM_MATH_NEON) +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + const float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + float32x4_t inV; + #ifdef ARM_MATH_ROUNDING + float32_t in; + float32x4_t zeroV = vdupq_n_f32(0.0f); + float32x4_t pHalf = vdupq_n_f32(0.5f / 128.0f); + float32x4_t mHalf = vdupq_n_f32(-0.5f / 128.0f); + float32x4_t r; + uint32x4_t cmp; + #endif + + int16x4_t cvt1,cvt2; + int8x8_t outV; + + blkCnt = blockSize >> 3U; + + /* Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + inV = vld1q_f32(pIn); + cmp = vcgtq_f32(inV,zeroV); + r = vbslq_f32(cmp,pHalf,mHalf); + inV = vaddq_f32(inV, r); + cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + outV = vqmovn_s16(vcombine_s16(cvt1,cvt2)); + vst1_s8(pDst, outV); + pDst += 8; + +#else + + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + inV = vld1q_f32(pIn); + cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + inV = vld1q_f32(pIn); + cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7)); + pIn += 4; + + outV = vqmovn_s16(vcombine_s16(cvt1,cvt2)); + + vst1_s8(pDst, outV); + pDst += 8; +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 7; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + /* C = A * 128 */ + /* Convert from float to q7 and then store the results in the destination buffer */ + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + +} +#else +void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const float32_t *pIn = pSrc; /* Source pointer */ + +#ifdef ARM_MATH_ROUNDING + float32_t in; +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = A * 128 */ + + /* Convert from float to q7 and store result in destination buffer */ +#ifdef ARM_MATH_ROUNDING + + in = (*pIn++ * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of float_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_heap_sort_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_heap_sort_f32.c new file mode 100644 index 0000000..4ef6b09 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_heap_sort_f32.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_heap_sort_f32.c + * Description: Floating point heap sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + + + +static void arm_heapify(float32_t * pSrc, uint32_t n, uint32_t i, uint8_t dir) +{ + /* Put all the elements of pSrc in heap order */ + uint32_t k = i; // Initialize largest/smallest as root + uint32_t l = 2*i + 1; // left = 2*i + 1 + uint32_t r = 2*i + 2; // right = 2*i + 2 + float32_t temp; + + if (l < n && dir==(pSrc[l] > pSrc[k]) ) + k = l; + + if (r < n && dir==(pSrc[r] > pSrc[k]) ) + k = r; + + if (k != i) + { + temp = pSrc[i]; + pSrc[i]=pSrc[k]; + pSrc[k]=temp; + + arm_heapify(pSrc, n, k, dir); + } +} + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The heap sort algorithm is a comparison algorithm that + * divides the input array into a sorted and an unsorted region, + * and shrinks the unsorted region by extracting the largest + * element and moving it to the sorted region. A heap data + * structure is used to find the maximum. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed. + */ +void arm_heap_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t * pA; + int32_t i; + float32_t temp; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + // Build the heap array so that the largest value is the root + for (i = blockSize/2 - 1; i >= 0; i--) + arm_heapify(pA, blockSize, i, S->dir); + + for (i = blockSize - 1; i >= 0; i--) + { + // Swap + temp = pA[i]; + pA[i] = pA[0]; + pA[0] = temp; + + // Restore heap order + arm_heapify(pA, i, 0, S->dir); + } +} +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_insertion_sort_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_insertion_sort_f32.c new file mode 100644 index 0000000..feec285 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_insertion_sort_f32.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_insertion_sort_f32.c + * Description: Floating point insertion sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The insertion sort is a simple sorting algorithm that + * reads all the element of the input array and removes one element + * at a time, finds the location it belongs in the final sorted list, + * and inserts it there. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed. + */ + +void arm_insertion_sort_f32( + const arm_sort_instance_f32 * S, + float32_t *pSrc, + float32_t* pDst, + uint32_t blockSize) +{ + float32_t * pA; + uint8_t dir = S->dir; + uint32_t i, j; + float32_t temp; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + // Real all the element of the input array + for(i=0; i0 && dir==(pA[j]= end || dir==(pA[i] <= pA[j])) ) + { + pB[k] = pA[i]; + i++; + } + else + { + pB[k] = pA[j]; + j++; + } + } +} + +static void arm_merge_sort_core_f32(float32_t * pB, uint32_t begin, uint32_t end, float32_t * pA, uint8_t dir) +{ + if((int32_t)end - (int32_t)begin >= 2 ) // If run size != 1 divide + { + int32_t middle = (end + begin) / 2; // Take the middle point + + arm_merge_sort_core_f32(pA, begin, middle, pB, dir); // Sort the left part + arm_merge_sort_core_f32(pA, middle, end, pB, dir); // Sort the right part + + topDownMerge(pB, begin, middle, end, pA, dir); + } +} + + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The merge sort algorithm is a comparison algorithm that + * divide the input array in sublists and merge them to produce + * longer sorted sublists until there is only one list remaining. + * + * @par A work array is always needed. It must be allocated by the user + * linked to the instance at initialization time. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed + */ + + +void arm_merge_sort_f32( + const arm_merge_sort_instance_f32 * S, + float32_t *pSrc, + float32_t *pDst, + uint32_t blockSize) +{ + float32_t * pA; + + /* Out-of-place */ + if(pSrc != pDst) + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t)); + pA = pDst; + } + else + pA = pSrc; + + /* A working buffer is needed */ + memcpy(S->buffer, pSrc, blockSize*sizeof(float32_t)); + + arm_merge_sort_core_f32(S->buffer, 0, blockSize, pA, S->dir); +} +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_merge_sort_init_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_merge_sort_init_f32.c new file mode 100644 index 0000000..31431f3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_merge_sort_init_f32.c @@ -0,0 +1,53 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_merge_sort_init_f32.c + * Description: Floating point merge sort initialization function + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] dir Sorting order. + * @param[in] buffer Working buffer. + */ +void arm_merge_sort_init_f32(arm_merge_sort_instance_f32 * S, arm_sort_dir dir, float32_t * buffer) +{ + S->dir = dir; + S->buffer = buffer; +} +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_float.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_float.c new file mode 100644 index 0000000..f1fac4f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_float.c @@ -0,0 +1,207 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_float.c + * Description: Converts the elements of the Q15 vector to floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup q15_to_x Convert 16-bit Integer value + */ + +/** + @addtogroup q15_to_x + @{ + */ + +/** + @brief Converts the elements of the Q15 vector to floating-point vector. + @param[in] pSrc points to the Q15 input vector + @param[out] pDst points to the floating-point output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.
+
+ */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + + q15x8_t vecDst; + q15_t const *pSrcVec; + + pSrcVec = (q15_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + vecDst = vldrhq_s32(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 15)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pSrcVec++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q15_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int16x8_t inV; + int32x4_t inV0, inV1; + float32x4_t outV; + + blkCnt = blockSize >> 3U; + + /* Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + inV = vld1q_s16(pIn); + pIn += 8; + + inV0 = vmovl_s16(vget_low_s16(inV)); + inV1 = vmovl_s16(vget_high_s16(inV)); + + outV = vcvtq_n_f32_s32(inV0,15); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inV1,15); + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 8, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 7; + + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + + /* Convert from q15 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 32768.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q15_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q31.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q31.c new file mode 100644 index 0000000..a33bcb7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q31.c @@ -0,0 +1,182 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q31.c + * Description: Converts the elements of the Q15 vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q15_to_x + @{ + */ + +/** + @brief Converts the elements of the Q15 vector to Q31 vector. + @param[in] pSrc points to the Q15 input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEI) +void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; + + q31x4_t vecDst; + + blkCnt = blockSize>> 2; + while (blkCnt > 0U) + { + + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + /* load q15 + 32-bit widening */ + vecDst = vldrhq_s32((q15_t const *) pSrc); + vecDst = vshlq_n(vecDst, 16); + vstrwq_s32(pDst, vecDst); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + pSrc += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (q31_t) A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pSrc++ << 16; + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + q31_t in1, in2; + q31_t out1, out2, out3, out4; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q31_t)A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + in1 = read_q15x2_ia ((q15_t **) &pIn); + in2 = read_q15x2_ia ((q15_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* extract lower 16 bits to 32 bit result */ + out1 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out2 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out3 = in2 << 16U; + /* extract upper 16 bits to 32 bit result */ + out4 = in2 & 0xFFFF0000; + +#else + + /* extract upper 16 bits to 32 bit result */ + out1 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out2 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out3 = in2 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out4 = in2 << 16U; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + *pDst++ = out1; + *pDst++ = out2; + *pDst++ = out3; + *pDst++ = out4; + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 16 */ + + /* Convert from q15 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pIn++ << 16; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q15_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q7.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q7.c new file mode 100644 index 0000000..251b0cf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q15_to_q7.c @@ -0,0 +1,190 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q7.c + * Description: Converts the elements of the Q15 vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q15_to_x + @{ + */ + +/** + @brief Converts the elements of the Q15 vector to Q7 vector. + @param[in] pSrc points to the Q15 input vector + @param[out] pDst points to the Q7 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEI) +void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; /* loop counters */ + q15x8x2_t tmp; + q15_t const *pSrcVec; + q7x16_t vecDst; + + + pSrcVec = (q15_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + /* convert from q15 to q7 and then store the results in the destination buffer */ + tmp = vld2q(pSrcVec); + pSrcVec += 16; + vecDst = vqshrnbq_n_s16(vecDst, tmp.val[0], 8); + vecDst = vqshrntq_n_s16(vecDst, tmp.val[1], 8); + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pSrcVec++ >> 8); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q15_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in1, in2; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in1 = read_q15x2_ia ((q15_t **) &pIn); + in2 = read_q15x2_ia ((q15_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHBT(in2, in1, 16); + +#else + + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in1, in2, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* rotate packed value by 24 */ + out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24); + + /* anding with 0xff00ff00 to get two 8 bit values */ + out1 = out1 & 0xFF00FF00; + /* anding with 0x00ff00ff to get two 8 bit values */ + out2 = out2 & 0x00FF00FF; + + /* oring two values(contains two 8 bit values) to get four packed 8 bit values */ + out1 = out1 | out2; + + /* store 4 samples at a time to destiantion buffer */ + write_q7x4_ia (&pDst, out1); + +#else + + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + *pDst++ = (q7_t) (*pIn++ >> 8); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + + /* Convert from q15 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 8); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q15_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_float.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_float.c new file mode 100644 index 0000000..72433db --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_float.c @@ -0,0 +1,202 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_float.c + * Description: Converts the elements of the Q31 vector to floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup q31_to_x Convert 32-bit Integer value + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to floating-point vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the floating-point output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4_t vecDst; + q31_t const *pSrcVec; + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* convert from q31 to float and then store the results in the destination buffer */ + vecDst = vld1q(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 31)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pSrcVec++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +#if defined(ARM_MATH_NEON_EXPERIMENTAL) +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int32x4_t inV; + float32x4_t outV; + + blkCnt = blockSize >> 2U; + + /* Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* Convert from q31 to float and then store the results in the destination buffer */ + inV = vld1q_s32(pIn); + pIn += 4; + + outV = vcvtq_n_f32_s32(inV,31); + + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 3; + + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* Convert from q31 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + + /* Convert from q31 to float and store result in destination buffer */ + *pDst++ = ((float32_t) *pIn++ / 2147483648.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q31_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q15.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q15.c new file mode 100644 index 0000000..297b8e0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q15.c @@ -0,0 +1,181 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q15.c + * Description: Converts the elements of the Q31 vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to Q15 vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEI) +void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4x2_t tmp; + q15x8_t vecDst; + q31_t const *pSrcVec; + + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = (q15_t) A >> 16 */ + /* convert from q31 to q15 and then store the results in the destination buffer */ + tmp = vld2q(pSrcVec); + pSrcVec += 8; + vecDst = vshrnbq_n_s32(vecDst, tmp.val[0], 16); + vecDst = vshrntq_n_s32(vecDst, tmp.val[1], 16); + vst1q(pDst, vecDst); + pDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) (*pSrcVec++ >> 16); + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q31_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in1, in2, in3, in4; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in1 = *pIn++; + in2 = *pIn++; + in3 = *pIn++; + in4 = *pIn++; + + /* pack two higher 16-bit values from two 32-bit values */ +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHTB(in4, in3, 16); +#else + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHTB(in3, in4, 16); +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pDst, out1); + write_q15x2_ia (&pDst, out2); + +#else + + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + *pDst++ = (q15_t) (*pIn++ >> 16); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) (A >> 16) */ + + /* Convert from q31 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) (*pIn++ >> 16); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q31_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q7.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q7.c new file mode 100644 index 0000000..e0d881b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q31_to_q7.c @@ -0,0 +1,169 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q7.c + * Description: Converts the elements of the Q31 vector to Q7 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q31_to_x + @{ + */ + +/** + @brief Converts the elements of the Q31 vector to Q7 vector. + @param[in] pSrc points to the Q31 input vector + @param[out] pDst points to the Q7 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEI) +void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q31x4x4_t tmp; + q15x8_t evVec, oddVec; + q7x16_t vecDst; + q31_t const *pSrcVec; + + pSrcVec = (q31_t const *) pSrc; + blkCnt = blockSize >> 4; + while (blkCnt > 0U) + { + tmp = vld4q(pSrcVec); + pSrcVec += 16; + /* C = (q7_t) A >> 24 */ + /* convert from q31 to q7 and then store the results in the destination buffer */ + /* + * narrow and pack evens + */ + evVec = vshrnbq_n_s32(evVec, tmp.val[0], 16); + evVec = vshrntq_n_s32(evVec, tmp.val[2], 16); + /* + * narrow and pack odds + */ + oddVec = vshrnbq_n_s32(oddVec, tmp.val[1], 16); + oddVec = vshrntq_n_s32(oddVec, tmp.val[3], 16); + /* + * narrow & merge + */ + vecDst = vshrnbq_n_s16(vecDst, evVec, 8); + vecDst = vshrntq_n_s16(vecDst, oddVec, 8); + + vst1q(pDst, vecDst); + pDst += 16; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + /* + * tail + */ + blkCnt = blockSize & 0xF; + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pSrcVec++ >> 24); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q31_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + q7_t out1, out2, out3, out4; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + + out1 = (q7_t) (*pIn++ >> 24); + out2 = (q7_t) (*pIn++ >> 24); + out3 = (q7_t) (*pIn++ >> 24); + out4 = (q7_t) (*pIn++ >> 24); + write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4)); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) (A >> 24) */ + + /* Convert from q31 to q7 and store result in destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 24); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q31_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_float.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_float.c new file mode 100644 index 0000000..a209c70 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_float.c @@ -0,0 +1,218 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_float.c + * Description: Converts the elements of the Q7 vector to floating-point vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + * @defgroup q7_to_x Convert 8-bit Integer value + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to floating-point vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the floating-point output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + q7x16_t vecDst; + q7_t const *pSrcVec; + + pSrcVec = (q7_t const *) pSrc; + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q7 to float and then store the results in the destination buffer */ + vecDst = vldrbq_s32(pSrcVec); + pSrcVec += 4; + vstrwq(pDst, vcvtq_n_f32_s32(vecDst, 7)); + pDst += 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pSrcVec++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } +} +#else +#if defined(ARM_MATH_NEON) +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + const q7_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + int8x16_t inV; + int16x8_t inVLO, inVHI; + int32x4_t inVLL, inVLH, inVHL, inVHH; + float32x4_t outV; + + blkCnt = blockSize >> 4U; + + /* Compute 16 outputs at a time. + ** a second loop below computes the remaining 1 to 15 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* Convert from q7 to float and then store the results in the destination buffer */ + inV = vld1q_s8(pIn); + pIn += 16; + + inVLO = vmovl_s8(vget_low_s8(inV)); + inVHI = vmovl_s8(vget_high_s8(inV)); + + inVLL = vmovl_s16(vget_low_s16(inVLO)); + inVLH = vmovl_s16(vget_high_s16(inVLO)); + inVHL = vmovl_s16(vget_low_s16(inVHI)); + inVHH = vmovl_s16(vget_high_s16(inVHI)); + + outV = vcvtq_n_f32_s32(inVLL,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVLH,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVHL,7); + vst1q_f32(pDst, outV); + pDst += 4; + + outV = vcvtq_n_f32_s32(inVHH,7); + vst1q_f32(pDst, outV); + pDst += 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 16, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize & 0xF; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* Convert from q7 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} +#else +void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + + /* Convert from q7 to float and store result in destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* #if defined(ARM_MATH_NEON) */ +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of q7_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q15.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q15.c new file mode 100644 index 0000000..4138492 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q15.c @@ -0,0 +1,188 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q15.c + * Description: Converts the elements of the Q7 vector to Q15 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to Q15 vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the Q15 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.
+
+ */ + +#if defined(ARM_MATH_MVEI) +void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + + uint32_t blkCnt; /* loop counters */ + q15x8_t vecDst; + q7_t const *pSrcVec; + + + pSrcVec = (q7_t const *) pSrc; + blkCnt = blockSize >> 3; + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + /* convert from q7 to q15 and then store the results in the destination buffer */ + /* load q7 + 32-bit widening */ + vecDst = vldrbq_s16(pSrcVec); + pSrcVec += 8; + vecDst = vecDst << 8; + vstrhq(pDst, vecDst); + pDst += 8; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + blkCnt = blockSize & 7; + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) * pSrcVec++ << 8; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#else +void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP) + q31_t in; + q31_t in1, in2; + q31_t out1, out2; +#endif + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ +#if defined (ARM_MATH_DSP) + + in = read_q7x4_ia ((q7_t **) &pIn); + + /* rotatate in by 8 and extend two q7_t values to q15_t values */ + in1 = __SXTB16(__ROR(in, 8)); + + /* extend remainig two q7_t values to q15_t values */ + in2 = __SXTB16(in); + + in1 = in1 << 8U; + in2 = in2 << 8U; + + in1 = in1 & 0xFF00FF00; + in2 = in2 & 0xFF00FF00; + +#ifndef ARM_MATH_BIG_ENDIAN + out2 = __PKHTB(in1, in2, 16); + out1 = __PKHBT(in2, in1, 16); +#else + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in2, in1, 16); +#endif + + write_q15x2_ia (&pDst, out1); + write_q15x2_ia (&pDst, out2); + +#else + + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + *pDst++ = (q15_t) *pIn++ << 8; + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + + /* Convert from q7 to q15 and store result in destination buffer */ + *pDst++ = (q15_t) * pIn++ << 8; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q7_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q31.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q31.c new file mode 100644 index 0000000..c7166ca --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_q7_to_q31.c @@ -0,0 +1,164 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q31.c + * Description: Converts the elements of the Q7 vector to Q31 vector + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup q7_to_x + @{ + */ + +/** + @brief Converts the elements of the Q7 vector to Q31 vector. + @param[in] pSrc points to the Q7 input vector + @param[out] pDst points to the Q31 output vector + @param[in] blockSize number of samples in each vector + @return none + + @par Details + The equation used for the conversion process is: + 
+      pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.
+
+ */ +#if defined(ARM_MATH_MVEI) +void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; + q31x4_t vecDst; + + blkCnt = blockSize >> 2; + while (blkCnt > 0U) + { + + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + /* load q15 + 32-bit widening */ + vecDst = vldrbq_s32((q7_t const *) pSrc); + vecDst = vshlq_n(vecDst, 24); + vstrwq_s32(pDst, vecDst); + + /* + * Decrement the blockSize loop counter + * Advance vector source and destination pointers + */ + pDst += 4; + pSrc += 4; + blkCnt --; + } + + blkCnt = blockSize & 3; + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) *pSrc++ << 24; + + /* Decrement loop counter */ + blkCnt--; + } +} + +#else +void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* Loop counter */ + const q7_t *pIn = pSrc; /* Source pointer */ + +#if defined (ARM_MATH_LOOPUNROLL) + + q31_t in; + + /* Loop unrolling: Compute 4 outputs at a time */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + in = read_q7x4_ia ((q7_t **) &pIn); + +#ifndef ARM_MATH_BIG_ENDIAN + + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (in & 0xFF000000); + +#else + + *pDst++ = (in & 0xFF000000); + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement loop counter */ + blkCnt--; + } + + /* Loop unrolling: Compute remaining outputs */ + blkCnt = blockSize % 0x4U; + +#else + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + + /* Convert from q7 to q31 and store result in destination buffer */ + *pDst++ = (q31_t) * pIn++ << 24; + + /* Decrement loop counter */ + blkCnt--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @} end of q7_to_x group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_quick_sort_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_quick_sort_f32.c new file mode 100644 index 0000000..f9bf12b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_quick_sort_f32.c @@ -0,0 +1,182 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_quick_sort_f32.c + * Description: Floating point quick sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +static uint32_t arm_quick_sort_partition_f32(float32_t *pSrc, int32_t first, int32_t last, uint8_t dir) +{ + /* This function will be called */ + int32_t i, j, pivot_index; + float32_t pivot; + float32_t temp; + + /* The first element is the pivot */ + pivot_index = first; + pivot = pSrc[pivot_index]; + + /* Initialize indices for do-while loops */ + i = first - 1; + j = last + 1; + + while(i < j) + { + /* The loop will stop as soon as the indices i and j cross each other. + * + * This event will happen surely since the values of the indices are incremented and + * decrement in the do-while loops that are executed at least once. + * It is impossible to loop forever inside the do-while loops since the pivot is + * always an element of the array and the conditions cannot be always true (at least + * the i-th or the j-th element will be equal to the pivot-th element). + * For example, in the extreme case of an ordered array the do-while loop related to i will stop + * at the first iteration (because pSrc[i]=pSrc[pivot] already), and the loop related to j + * will stop after (last-first) iterations (when j=pivot=i=first). j is returned and + * j+1 is going to be used as pivot by other calls of the function, until j=pivot=last. */ + + /* Move indices to the right and to the left */ + if(dir) + { + /* Compare left elements with pivot */ + do + { + i++; + } while (pSrc[i] < pivot && i pivot); + } + else + { + /* Compare left elements with pivot */ + do + { + i++; + } while (pSrc[i] > pivot && i Swap */ + temp=pSrc[i]; + pSrc[i]=pSrc[j]; + pSrc[j]=temp; + } + } + + return j; +} + +static void arm_quick_sort_core_f32(float32_t *pSrc, int32_t first, int32_t last, uint8_t dir) +{ + /* If the array [first ... last] has more than one element */ + if(firstdir); + /* The previous function could be called recursively a maximum + * of (blockSize-1) times, generating a stack consumption of 4*(blockSize-1) bytes. */ +} + +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_selection_sort_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_selection_sort_f32.c new file mode 100644 index 0000000..76d256d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_selection_sort_f32.c @@ -0,0 +1,108 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_selection_sort_f32.c + * Description: Floating point selection sort + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + +/** + * @private + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * + * @par Algorithm + * The Selection sort algorithm is a comparison algorithm that + * divides the input array into a sorted and an unsorted sublist + * (initially the sorted sublist is empty and the unsorted sublist + * is the input array), looks for the smallest (or biggest) + * element in the unsorted sublist, swapping it with the leftmost + * one, and moving the sublists boundary one element to the right. + * + * @par It's an in-place algorithm. In order to obtain an out-of-place + * function, a memcpy of the source vector is performed. + */ + +void arm_selection_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t i, j, k; + uint8_t dir = S->dir; + float32_t temp; + + float32_t * pA; + + if(pSrc != pDst) // out-of-place + { + memcpy(pDst, pSrc, blockSize*sizeof(float32_t) ); + pA = pDst; + } + else + pA = pSrc; + + /* Move the boundary one element to the right */ + for (i=0; ialg) + { + case ARM_SORT_BITONIC: + arm_bitonic_sort_f32(S, pSrc, pDst, blockSize); + break; + + case ARM_SORT_BUBBLE: + arm_bubble_sort_f32(S, pSrc, pDst, blockSize); + break; + + case ARM_SORT_HEAP: + arm_heap_sort_f32(S, pSrc, pDst, blockSize); + break; + + case ARM_SORT_INSERTION: + arm_insertion_sort_f32(S, pSrc, pDst, blockSize); + break; + + case ARM_SORT_QUICK: + arm_quick_sort_f32(S, pSrc, pDst, blockSize); + break; + + case ARM_SORT_SELECTION: + arm_selection_sort_f32(S, pSrc, pDst, blockSize); + break; + } +} + +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_sort_init_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_sort_init_f32.c new file mode 100644 index 0000000..264b5c3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_sort_init_f32.c @@ -0,0 +1,55 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sort_init_f32.c + * Description: Floating point sort initialization function + * + * $Date: 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_sorting.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup Sorting + @{ + */ + + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] alg Selected algorithm. + * @param[in] dir Sorting order. + */ +void arm_sort_init_f32(arm_sort_instance_f32 * S, arm_sort_alg alg, arm_sort_dir dir) +{ + S->alg = alg; + S->dir = dir; +} + +/** + @} end of Sorting group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_f32.c new file mode 100644 index 0000000..604aecd --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_f32.c @@ -0,0 +1,283 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_spline_interp_f32.c + * Description: Floating-point cubic spline interpolation + * + * $Date: 13 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @defgroup SplineInterpolate Cubic Spline Interpolation + + Spline interpolation is a method of interpolation where the interpolant + is a piecewise-defined polynomial called "spline". + + @par Introduction + + Given a function f defined on the interval [a,b], a set of n nodes x(i) + where a=x(1) + S1(x) x(1) < x < x(2) + S(x) = ... + Sn-1(x) x(n-1) < x < x(n) + + + where + + 
+  Si(x) = a_i+b_i(x-xi)+c_i(x-xi)^2+d_i(x-xi)^3    i=1, ..., n-1
+
+ + @par Algorithm + + Having defined h(i) = x(i+1) - x(i) + + 
+  h(i-1)c(i-1)+2[h(i-1)+h(i)]c(i)+h(i)c(i+1) = 3/h(i)*[a(i+1)-a(i)]-3/h(i-1)*[a(i)-a(i-1)]    i=2, ..., n-1
+
+ + It is possible to write the previous conditions in matrix form (Ax=B). + In order to solve the system two boundary conidtions are needed. + - Natural spline: S1''(x1)=2*c(1)=0 ; Sn''(xn)=2*c(n)=0 + In matrix form: + + 
+  |  1        0         0  ...    0         0           0     ||  c(1)  | |                        0                        |
+  | h(0) 2[h(0)+h(1)] h(1) ...    0         0           0     ||  c(2)  | |      3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)]      |
+  | ...      ...       ... ...   ...       ...         ...    ||  ...   |=|                       ...                       |
+  |  0        0         0  ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] |
+  |  0        0         0  ...    0         0           1     ||  c(n)  | |                        0                        |
+
+ + - Parabolic runout spline: S1''(x1)=2*c(1)=S2''(x2)=2*c(2) ; Sn-1''(xn-1)=2*c(n-1)=Sn''(xn)=2*c(n) + In matrix form: + + 
+  |  1       -1         0  ...    0         0           0     ||  c(1)  | |                        0                        |
+  | h(0) 2[h(0)+h(1)] h(1) ...    0         0           0     ||  c(2)  | |      3/h(2)*[a(3)-a(2)]-3/h(1)*[a(2)-a(1)]      |
+  | ...      ...       ... ...   ...       ...         ...    ||  ...   |=|                       ...                       |
+  |  0        0         0  ... h(n-2) 2[h(n-2)+h(n-1)] h(n-1) || c(n-1) | | 3/h(n-1)*[a(n)-a(n-1)]-3/h(n-2)*[a(n-1)-a(n-2)] |
+  |  0        0         0  ...    0        -1           1     ||  c(n)  | |                        0                        |
+
+ + A is a tridiagonal matrix (a band matrix of bandwidth 3) of size N=n+1. The factorization + algorithms (A=LU) can be simplified considerably because a large number of zeros appear + in regular patterns. The Crout method has been used: + 1) Solve LZ=B + + 
+  u(1,2) = A(1,2)/A(1,1)
+  z(1)   = B(1)/l(11)
+
+  FOR i=2, ..., N-1
+    l(i,i)   = A(i,i)-A(i,i-1)u(i-1,i)
+    u(i,i+1) = a(i,i+1)/l(i,i)
+    z(i)     = [B(i)-A(i,i-1)z(i-1)]/l(i,i)
+
+  l(N,N) = A(N,N)-A(N,N-1)u(N-1,N)
+  z(N)   = [B(N)-A(N,N-1)z(N-1)]/l(N,N)
+
+ + 2) Solve UX=Z + + 
+  c(N)=z(N)
+
+  FOR i=N-1, ..., 1
+    c(i)=z(i)-u(i,i+1)c(i+1)
+
+ + c(i) for i=1, ..., n-1 are needed to compute the n-1 polynomials. + b(i) and d(i) are computed as: + - b(i) = [y(i+1)-y(i)]/h(i)-h(i)*[c(i+1)+2*c(i)]/3 + - d(i) = [c(i+1)-c(i)]/[3*h(i)] + Moreover, a(i)=y(i). + + @par Behaviour outside the given intervals + + It is possible to compute the interpolated vector for x values outside the + input range (xqx(n)). The coefficients used to compute the y values for + xqx(n) the + coefficients used for the last interval. + + */ + +/** + @addtogroup SplineInterpolate + @{ + */ + +/** + * @brief Processing function for the floating-point cubic spline interpolation. + * @param[in] S points to an instance of the floating-point spline structure. + * @param[in] xq points to the x values ot the interpolated data points. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples of output data. + */ + +void arm_spline_f32( + arm_spline_instance_f32 * S, + const float32_t * xq, + float32_t * pDst, + uint32_t blockSize) +{ + const float32_t * x = S->x; + const float32_t * y = S->y; + int32_t n = S->n_x; + + /* Coefficients (a==y for i<=n-1) */ + float32_t * b = (S->coeffs); + float32_t * c = (S->coeffs)+(n-1); + float32_t * d = (S->coeffs)+(2*(n-1)); + + const float32_t * pXq = xq; + int32_t blkCnt = (int32_t)blockSize; + int32_t blkCnt2; + int32_t i; + float32_t x_sc; + +#ifdef ARM_MATH_NEON + float32x4_t xiv; + float32x4_t aiv; + float32x4_t biv; + float32x4_t civ; + float32x4_t div; + + float32x4_t xqv; + + float32x4_t temp; + float32x4_t diff; + float32x4_t yv; +#endif + + /* Create output for x(i) 4 ) + { + /* Load [xq(k) xq(k+1) xq(k+2) xq(k+3)] */ + xqv = vld1q_f32(pXq); + pXq+=4; + + /* Compute [xq(k)-x(i) xq(k+1)-x(i) xq(k+2)-x(i) xq(k+3)-x(i)] */ + diff = vsubq_f32(xqv, xiv); + temp = diff; + + /* y(i) = a(i) + ... */ + yv = aiv; + /* ... + b(i)*(x-x(i)) + ... */ + yv = vmlaq_f32(yv, biv, temp); + /* ... + c(i)*(x-x(i))^2 + ... */ + temp = vmulq_f32(temp, diff); + yv = vmlaq_f32(yv, civ, temp); + /* ... + d(i)*(x-x(i))^3 */ + temp = vmulq_f32(temp, diff); + yv = vmlaq_f32(yv, div, temp); + + /* Store [y(k) y(k+1) y(k+2) y(k+3)] */ + vst1q_f32(pDst, yv); + pDst+=4; + + blkCnt-=4; + } +#endif + while( *pXq <= x[i+1] && blkCnt > 0 ) + { + x_sc = *pXq++; + + *pDst = y[i]+b[i]*(x_sc-x[i])+c[i]*(x_sc-x[i])*(x_sc-x[i])+d[i]*(x_sc-x[i])*(x_sc-x[i])*(x_sc-x[i]); + + pDst++; + blkCnt--; + } + } + + /* Create output for remaining samples (x>=x(n)) */ +#ifdef ARM_MATH_NEON + /* Compute 4 outputs at a time */ + blkCnt2 = blkCnt >> 2; + + while(blkCnt2 > 0) + { + /* Load [xq(k) xq(k+1) xq(k+2) xq(k+3)] */ + xqv = vld1q_f32(pXq); + pXq+=4; + + /* Compute [xq(k)-x(i) xq(k+1)-x(i) xq(k+2)-x(i) xq(k+3)-x(i)] */ + diff = vsubq_f32(xqv, xiv); + temp = diff; + + /* y(i) = a(i) + ... */ + yv = aiv; + /* ... + b(i)*(x-x(i)) + ... */ + yv = vmlaq_f32(yv, biv, temp); + /* ... + c(i)*(x-x(i))^2 + ... */ + temp = vmulq_f32(temp, diff); + yv = vmlaq_f32(yv, civ, temp); + /* ... + d(i)*(x-x(i))^3 */ + temp = vmulq_f32(temp, diff); + yv = vmlaq_f32(yv, div, temp); + + /* Store [y(k) y(k+1) y(k+2) y(k+3)] */ + vst1q_f32(pDst, yv); + pDst+=4; + + blkCnt2--; + } + + /* Tail */ + blkCnt2 = blkCnt & 3; +#else + blkCnt2 = blkCnt; +#endif + + while(blkCnt2 > 0) + { + x_sc = *pXq++; + + *pDst = y[i-1]+b[i-1]*(x_sc-x[i-1])+c[i-1]*(x_sc-x[i-1])*(x_sc-x[i-1])+d[i-1]*(x_sc-x[i-1])*(x_sc-x[i-1])*(x_sc-x[i-1]); + + pDst++; + blkCnt2--; + } +} + +/** + @} end of SplineInterpolate group + */ diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_init_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_init_f32.c new file mode 100644 index 0000000..a594d30 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_spline_interp_init_f32.c @@ -0,0 +1,175 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_spline_interp_init_f32.c + * Description: Floating-point cubic spline initialization function + * + * $Date: 13 November 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupSupport + */ + +/** + @addtogroup SplineInterpolate + @{ + + @par Initialization function + + The initialization function takes as input two arrays that the user has to allocate: + coeffs will contain the b, c, and d coefficients for the (n-1) intervals + (n is the number of known points), hence its size must be 3*(n-1); tempBuffer + is temporally used for internal computations and its size is n+n-1. + + @par + + The x input array must be strictly sorted in ascending order and it must + not contain twice the same value (x(i)x = x; + S->y = y; + S->n_x = n; + + /* == Solve LZ=B to obtain z(i) and u(i) == */ + + /* -- Row 1 -- */ + /* B(0) = 0, not computed */ + /* u(1,2) = a(1,2)/a(1,1) = a(1,2) */ + if(type == ARM_SPLINE_NATURAL) + u[0] = 0; /* a(1,2) = 0 */ + else if(type == ARM_SPLINE_PARABOLIC_RUNOUT) + u[0] = -1; /* a(1,2) = -1 */ + + z[0] = 0; /* z(1) = B(1)/a(1,1) = 0 always */ + + /* -- Rows 2 to N-1 (N=n+1) -- */ + hm1 = x[1] - x[0]; /* Initialize h(i-1) = h(1) = x(2)-x(1) */ + + for (i=1; i<(int32_t)n-1; i++) + { + /* Compute B(i) */ + hi = x[i+1]-x[i]; + Bi = 3*(y[i+1]-y[i])/hi - 3*(y[i]-y[i-1])/hm1; + + /* l(i) = a(i)-a(i,i-1)*u(i-1) = 2[h(i-1)+h(i)]-h(i-1)*u(i-1) */ + li = 2*(hi+hm1) - hm1*u[i-1]; + + /* u(i) = a(i,i+1)/l(i) = h(i)/l(i) */ + u[i] = hi/li; + + /* z(i) = [B(i)-h(i-1)*z(i-1)]/l(i) */ + z[i] = (Bi-hm1*z[i-1])/li; + + /* Update h(i-1) for next iteration */ + hm1 = hi; + } + + /* -- Row N -- */ + /* l(N) = a(N,N)-a(N,N-1)u(N-1) */ + /* z(N) = [-a(N,N-1)z(N-1)]/l(N) */ + if(type == ARM_SPLINE_NATURAL) + { + /* li = 1; a(N,N) = 1; a(N,N-1) = 0 */ + z[n-1] = 0; /* a(N,N-1) = 0 */ + } + else if(type == ARM_SPLINE_PARABOLIC_RUNOUT) + { + li = 1+u[n-2]; /* a(N,N) = 1; a(N,N-1) = -1 */ + z[n-1] = z[n-2]/li; /* a(N,N-1) = -1 */ + } + + /* == Solve UX = Z to obtain c(i) and */ + /* compute b(i) and d(i) from c(i) == */ + + cp1 = z[n-1]; /* Initialize c(i+1) = c(N) = z(N) */ + + for (i=n-2; i>=0; i--) + { + /* c(i) = z(i)-u(i+1)c(i+1) */ + c[i] = z[i]-u[i]*cp1; + + hi = x[i+1]-x[i]; + /* b(i) = [y(i+1)-y(i)]/h(i)-h(i)*[c(i+1)+2*c(i)]/3 */ + b[i] = (y[i+1]-y[i])/hi-hi*(cp1+2*c[i])/3; + + /* d(i) = [c(i+1)-c(i)]/[3*h(i)] */ + d[i] = (cp1-c[i])/(3*hi); + + /* Update c(i+1) for next iteration */ + cp1 = c[i]; + } + + /* == Finally, store the coefficients in the instance == */ + + S->coeffs = coeffs; +} + +/** + @} end of SplineInterpolate group + */ + diff --git a/Firmware/cmsis/dsp/Source/SupportFunctions/arm_weighted_sum_f32.c b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_weighted_sum_f32.c new file mode 100644 index 0000000..3b26363 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/SupportFunctions/arm_weighted_sum_f32.c @@ -0,0 +1,185 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_weighted_sum_f32.c + * Description: Weighted Sum + * + * + * Target Processor: Cortex-M and Cortex-A cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include +#include + + +/** + * @addtogroup groupSupport + * @{ + */ + + +/** + * @brief Weighted sum + * + * + * @param[in] *in Array of input values. + * @param[in] *weigths Weights + * @param[in] blockSize Number of samples in the input array. + * @return Weighted sum + * + */ + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" + +float32_t arm_weighted_sum_f32(const float32_t *in,const float32_t *weigths, uint32_t blockSize) +{ + float32_t accum1, accum2; + f32x4_t accum1V, accum2V; + f32x4_t inV, wV; + const float32_t *pIn, *pW; + uint32_t blkCnt; + + + pIn = in; + pW = weigths; + + + accum1V = vdupq_n_f32(0.0); + accum2V = vdupq_n_f32(0.0); + + blkCnt = blockSize >> 2; + while (blkCnt > 0) + { + inV = vld1q(pIn); + wV = vld1q(pW); + + pIn += 4; + pW += 4; + + accum1V = vfmaq(accum1V, inV, wV); + accum2V = vaddq(accum2V, wV); + blkCnt--; + } + + accum1 = vecAddAcrossF32Mve(accum1V); + accum2 = vecAddAcrossF32Mve(accum2V); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + accum1 += *pIn++ * *pW; + accum2 += *pW++; + blkCnt--; + } + + + return (accum1 / accum2); +} + +#else +#if defined(ARM_MATH_NEON) + +#include "NEMath.h" +float32_t arm_weighted_sum_f32(const float32_t *in,const float32_t *weigths, uint32_t blockSize) +{ + + float32_t accum1, accum2; + float32x4_t accum1V, accum2V; + float32x2_t tempV; + + float32x4_t inV,wV; + + const float32_t *pIn, *pW; + uint32_t blkCnt; + + + pIn = in; + pW = weigths; + + accum1=0.0f; + accum2=0.0f; + + accum1V = vdupq_n_f32(0.0f); + accum2V = vdupq_n_f32(0.0f); + + blkCnt = blockSize >> 2; + while(blkCnt > 0) + { + inV = vld1q_f32(pIn); + wV = vld1q_f32(pW); + + pIn += 4; + pW += 4; + + accum1V = vmlaq_f32(accum1V,inV,wV); + accum2V = vaddq_f32(accum2V,wV); + blkCnt--; + } + + tempV = vpadd_f32(vget_low_f32(accum1V),vget_high_f32(accum1V)); + accum1 = vget_lane_f32(tempV, 0) + vget_lane_f32(tempV, 1); + + tempV = vpadd_f32(vget_low_f32(accum2V),vget_high_f32(accum2V)); + accum2 = vget_lane_f32(tempV, 0) + vget_lane_f32(tempV, 1); + + blkCnt = blockSize & 3; + while(blkCnt > 0) + { + accum1 += *pIn++ * *pW; + accum2 += *pW++; + blkCnt--; + } + + + return(accum1 / accum2); +} +#else +float32_t arm_weighted_sum_f32(const float32_t *in, const float32_t *weigths, uint32_t blockSize) +{ + + float32_t accum1, accum2; + const float32_t *pIn, *pW; + uint32_t blkCnt; + + + pIn = in; + pW = weigths; + + accum1=0.0f; + accum2=0.0f; + + blkCnt = blockSize; + while(blkCnt > 0) + { + accum1 += *pIn++ * *pW; + accum2 += *pW++; + blkCnt--; + } + + return(accum1 / accum2); +} +#endif +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + * @} end of groupSupport group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/CMakeLists.txt b/Firmware/cmsis/dsp/Source/TransformFunctions/CMakeLists.txt new file mode 100644 index 0000000..42f16cf --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/CMakeLists.txt @@ -0,0 +1,144 @@ +cmake_minimum_required (VERSION 3.6) + +project(CMSISDSPTransform) + +include(configLib) +include(configDsp) + +add_library(CMSISDSPTransform STATIC) +configLib(CMSISDSPTransform ${ROOT}) +configDsp(CMSISDSPTransform ${ROOT}) + +include(fft) +fft(CMSISDSPTransform) + +if (CONFIGTABLE AND ALLFFT) +target_compile_definitions(CMSISDSPTransform PUBLIC ARM_ALL_FFT_TABLES) +endif() + +target_sources(CMSISDSPTransform PRIVATE arm_bitreversal.c) +target_sources(CMSISDSPTransform PRIVATE arm_bitreversal2.c) + +if (NOT CONFIGTABLE OR ALLFFT OR CFFT_F32_16 OR CFFT_F32_32 OR CFFT_F32_64 OR CFFT_F32_128 OR CFFT_F32_256 OR CFFT_F32_512 + OR CFFT_F32_1024 OR CFFT_F32_2048 OR CFFT_F32_4096) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix8_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR CFFT_F64_16 OR CFFT_F64_32 OR CFFT_F64_64 OR CFFT_F64_128 OR CFFT_F64_256 OR CFFT_F64_512 + OR CFFT_F64_1024 OR CFFT_F64_2048 OR CFFT_F64_4096) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_f64.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR CFFT_Q15_16 OR CFFT_Q15_32 OR CFFT_Q15_64 OR CFFT_Q15_128 OR CFFT_Q15_256 OR CFFT_Q15_512 + OR CFFT_Q15_1024 OR CFFT_Q15_2048 OR CFFT_Q15_4096) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR CFFT_Q31_16 OR CFFT_Q31_32 OR CFFT_Q31_64 OR CFFT_Q31_128 OR CFFT_Q31_256 OR CFFT_Q31_512 + OR CFFT_Q31_1024 OR CFFT_Q31_2048 OR CFFT_Q31_4096) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_init_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR DCT4_F32_128 OR DCT4_F32_512 OR DCT4_F32_2048 OR DCT4_F32_8192) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_f32.c) + +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR DCT4_Q31_128 OR DCT4_Q31_512 OR DCT4_Q31_2048 OR DCT4_Q31_8192) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_q31.c) + +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR ALLFFT OR DCT4_Q15_128 OR DCT4_Q15_512 OR DCT4_Q15_2048 OR DCT4_Q15_8192) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_dct4_q15.c) + +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR RFFT_FAST_F32_32 OR RFFT_FAST_F32_64 OR RFFT_FAST_F32_128 + OR RFFT_FAST_F32_256 OR RFFT_FAST_F32_512 OR RFFT_FAST_F32_1024 OR RFFT_FAST_F32_2048 + OR RFFT_FAST_F32_4096 ) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix8_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR RFFT_FAST_F64_32 OR RFFT_FAST_F64_64 OR RFFT_FAST_F64_128 + OR RFFT_FAST_F64_256 OR RFFT_FAST_F64_512 OR RFFT_FAST_F64_1024 OR RFFT_FAST_F64_2048 + OR RFFT_FAST_F64_4096 ) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_f64.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_init_f64.c) +endif() + + + +if (NOT CONFIGTABLE OR ALLFFT OR RFFT_F32_128 OR RFFT_F32_512 OR RFFT_F32_2048 OR RFFT_F32_8192) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_f32.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR RFFT_Q15_32 OR RFFT_Q15_64 OR RFFT_Q15_128 OR RFFT_Q15_256 + OR RFFT_Q15_512 OR RFFT_Q15_1024 OR RFFT_Q15_2048 OR RFFT_Q15_4096 OR RFFT_Q15_8192) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q15.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c) +endif() + +if (NOT CONFIGTABLE OR ALLFFT OR RFFT_Q31_32 OR RFFT_Q31_64 OR RFFT_Q31_128 OR RFFT_Q31_256 + OR RFFT_Q31_512 OR RFFT_Q31_1024 OR RFFT_Q31_2048 OR RFFT_Q31_4096 OR RFFT_Q31_8192) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_rfft_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_init_q31.c) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c) +endif() + +# For scipy or wrappers or benchmarks +if (WRAPPER) +target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_init_f32.c) +endif() + +### Includes +target_include_directories(CMSISDSPTransform PUBLIC "${DSP}/Include") + + + diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/TransformFunctions.c b/Firmware/cmsis/dsp/Source/TransformFunctions/TransformFunctions.c new file mode 100644 index 0000000..dd54fc9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/TransformFunctions.c @@ -0,0 +1,67 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: TransformFunctions.c + * Description: Combination of all transform function source files. + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_bitreversal.c" +#include "arm_bitreversal2.c" +#include "arm_cfft_f32.c" +#include "arm_cfft_f64.c" +#include "arm_cfft_q15.c" +#include "arm_cfft_q31.c" +#include "arm_cfft_init_f32.c" +#include "arm_cfft_init_f64.c" +#include "arm_cfft_init_q15.c" +#include "arm_cfft_init_q31.c" +#include "arm_cfft_radix2_f32.c" +#include "arm_cfft_radix2_init_f32.c" +#include "arm_cfft_radix2_init_q15.c" +#include "arm_cfft_radix2_init_q31.c" +#include "arm_cfft_radix2_q15.c" +#include "arm_cfft_radix2_q31.c" +#include "arm_cfft_radix4_f32.c" +#include "arm_cfft_radix4_init_f32.c" +#include "arm_cfft_radix4_init_q15.c" +#include "arm_cfft_radix4_init_q31.c" +#include "arm_cfft_radix4_q15.c" +#include "arm_cfft_radix4_q31.c" +#include "arm_cfft_radix8_f32.c" +#include "arm_dct4_f32.c" +#include "arm_dct4_init_f32.c" +#include "arm_dct4_init_q15.c" +#include "arm_dct4_init_q31.c" +#include "arm_dct4_q15.c" +#include "arm_dct4_q31.c" +#include "arm_rfft_f32.c" +#include "arm_rfft_fast_f32.c" +#include "arm_rfft_fast_f64.c" +#include "arm_rfft_fast_init_f32.c" +#include "arm_rfft_fast_init_f64.c" +#include "arm_rfft_init_f32.c" +#include "arm_rfft_init_q15.c" +#include "arm_rfft_init_q31.c" +#include "arm_rfft_q15.c" +#include "arm_rfft_q31.c" diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal.c new file mode 100644 index 0000000..c608129 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal.c @@ -0,0 +1,229 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bitreversal.c + * Description: Bitreversal functions + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @brief In-place floating-point bit reversal function. + @param[in,out] pSrc points to in-place floating-point data buffer + @param[in] fftSize length of FFT + @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table + @param[in] pBitRevTab points to bit reversal table + @return none + */ + +void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab) +{ + uint16_t fftLenBy2, fftLenBy2p1; + uint16_t i, j; + float32_t in; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftSize >> 1U; + fftLenBy2p1 = (fftSize >> 1U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + in = pSrc[2U * i]; + pSrc[2U * i] = pSrc[2U * j]; + pSrc[2U * j] = in; + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[(2U * i) + 1U]; + pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U]; + pSrc[(2U * j) + 1U] = in; + + /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ + in = pSrc[2U * (i + fftLenBy2p1)]; + pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)]; + pSrc[2U * (j + fftLenBy2p1)] = in; + + /* pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */ + in = pSrc[(2U * (i + fftLenBy2p1)) + 1U]; + pSrc[(2U * (i + fftLenBy2p1)) + 1U] = + pSrc[(2U * (j + fftLenBy2p1)) + 1U]; + pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in; + + } + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[2U * (i + 1U)]; + pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)]; + pSrc[2U * (j + fftLenBy2)] = in; + + /* pSrc[i+2U] <-> pSrc[j+2U] */ + in = pSrc[(2U * (i + 1U)) + 1U]; + pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U]; + pSrc[(2U * (j + fftLenBy2)) + 1U] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTab; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTab += bitRevFactor; + } +} + + +/** + @brief In-place Q31 bit reversal function. + @param[in,out] pSrc points to in-place Q31 data buffer. + @param[in] fftLen length of FFT. + @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_q31( + q31_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab) +{ + uint32_t fftLenBy2, fftLenBy2p1, i, j; + q31_t in; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftLen / 2U; + fftLenBy2p1 = (fftLen / 2U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + in = pSrc[2U * i]; + pSrc[2U * i] = pSrc[2U * j]; + pSrc[2U * j] = in; + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[(2U * i) + 1U]; + pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U]; + pSrc[(2U * j) + 1U] = in; + + /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ + in = pSrc[2U * (i + fftLenBy2p1)]; + pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)]; + pSrc[2U * (j + fftLenBy2p1)] = in; + + /* pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */ + in = pSrc[(2U * (i + fftLenBy2p1)) + 1U]; + pSrc[(2U * (i + fftLenBy2p1)) + 1U] = + pSrc[(2U * (j + fftLenBy2p1)) + 1U]; + pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in; + + } + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[2U * (i + 1U)]; + pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)]; + pSrc[2U * (j + fftLenBy2)] = in; + + /* pSrc[i+2U] <-> pSrc[j+2U] */ + in = pSrc[(2U * (i + 1U)) + 1U]; + pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U]; + pSrc[(2U * (j + fftLenBy2)) + 1U] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTab; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTab += bitRevFactor; + } +} + + + +/** + @brief In-place Q15 bit reversal function. + @param[in,out] pSrc16 points to in-place Q15 data buffer + @param[in] fftLen length of FFT + @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_q15( + q15_t * pSrc16, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab) +{ + q31_t *pSrc = (q31_t *) pSrc16; + q31_t in; + uint32_t fftLenBy2, fftLenBy2p1; + uint32_t i, j; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftLen / 2U; + fftLenBy2p1 = (fftLen / 2U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[i]; + pSrc[i] = pSrc[j]; + pSrc[j] = in; + + /* pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1]; */ + /* pSrc[i + fftLenBy2p1+1U] <-> pSrc[j + fftLenBy2p1+1U] */ + in = pSrc[i + fftLenBy2p1]; + pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1]; + pSrc[j + fftLenBy2p1] = in; + } + + /* pSrc[i+1U] <-> pSrc[j+fftLenBy2]; */ + /* pSrc[i+2] <-> pSrc[j+fftLenBy2+1U] */ + in = pSrc[i + 1U]; + pSrc[i + 1U] = pSrc[j + fftLenBy2]; + pSrc[j + fftLenBy2] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTab; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTab += bitRevFactor; + } +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.S b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.S new file mode 100644 index 0000000..c16091b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.S @@ -0,0 +1,216 @@ +;/* ---------------------------------------------------------------------- +; * Project: CMSIS DSP Library +; * Title: arm_bitreversal2.S +; * Description: arm_bitreversal_32 function done in assembly for maximum speed. +; * Called after doing an fft to reorder the output. +; * The function is loop unrolled by 2. arm_bitreversal_16 as well. +; * +; * $Date: 18. March 2019 +; * $Revision: V1.5.2 +; * +; * Target Processor: Cortex-M cores +; * -------------------------------------------------------------------- */ +;/* +; * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. +; * +; * SPDX-License-Identifier: Apache-2.0 +; * +; * Licensed under the Apache License, Version 2.0 (the License); you may +; * not use this file except in compliance with the License. +; * You may obtain a copy of the License at +; * +; * www.apache.org/licenses/LICENSE-2.0 +; * +; * Unless required by applicable law or agreed to in writing, software +; * distributed under the License is distributed on an AS IS BASIS, WITHOUT +; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +; * See the License for the specific language governing permissions and +; * limitations under the License. +; */ + +#if defined ( __CC_ARM ) /* Keil */ + #define CODESECT AREA ||.text||, CODE, READONLY, ALIGN=2 + #define LABEL +#elif defined ( __IASMARM__ ) /* IAR */ + #define CODESECT SECTION `.text`:CODE + #define PROC + #define LABEL + #define ENDP + #define EXPORT PUBLIC +#elif defined ( __CSMC__ ) /* Cosmic */ + #define CODESECT switch .text + #define THUMB + #define EXPORT xdef + #define PROC : + #define LABEL : + #define ENDP + #define arm_bitreversal_32 _arm_bitreversal_32 +#elif defined ( __TI_ARM__ ) /* TI ARM */ + #define THUMB .thumb + #define CODESECT .text + #define EXPORT .global + #define PROC : .asmfunc + #define LABEL : + #define ENDP .endasmfunc + #define END +#elif defined ( __GNUC__ ) /* GCC */ + #define THUMB .thumb + #define CODESECT .section .text + #define EXPORT .global + #define PROC : + #define LABEL : + #define ENDP + #define END + + .syntax unified +#endif + + CODESECT + THUMB + +;/** +; @brief In-place bit reversal function. +; @param[in,out] pSrc points to the in-place buffer of unknown 32-bit data type +; @param[in] bitRevLen bit reversal table length +; @param[in] pBitRevTab points to bit reversal table +; @return none +; */ + EXPORT arm_bitreversal_32 + EXPORT arm_bitreversal_16 + +#if defined ( __CC_ARM ) /* Keil */ +#elif defined ( __IASMARM__ ) /* IAR */ +#elif defined ( __CSMC__ ) /* Cosmic */ +#elif defined ( __TI_ARM__ ) /* TI ARM */ +#elif defined ( __GNUC__ ) /* GCC */ + .type arm_bitreversal_16, %function + .type arm_bitreversal_32, %function +#endif + +#if defined (ARM_MATH_CM0_FAMILY) + +arm_bitreversal_32 PROC + ADDS r3,r1,#1 + PUSH {r4-r6} + ADDS r1,r2,#0 + LSRS r3,r3,#1 +arm_bitreversal_32_0 LABEL + LDRH r2,[r1,#2] + LDRH r6,[r1,#0] + ADD r2,r0,r2 + ADD r6,r0,r6 + LDR r5,[r2,#0] + LDR r4,[r6,#0] + STR r5,[r6,#0] + STR r4,[r2,#0] + LDR r5,[r2,#4] + LDR r4,[r6,#4] + STR r5,[r6,#4] + STR r4,[r2,#4] + ADDS r1,r1,#4 + SUBS r3,r3,#1 + BNE arm_bitreversal_32_0 + POP {r4-r6} + BX lr + ENDP + +arm_bitreversal_16 PROC + ADDS r3,r1,#1 + PUSH {r4-r6} + ADDS r1,r2,#0 + LSRS r3,r3,#1 +arm_bitreversal_16_0 LABEL + LDRH r2,[r1,#2] + LDRH r6,[r1,#0] + LSRS r2,r2,#1 + LSRS r6,r6,#1 + ADD r2,r0,r2 + ADD r6,r0,r6 + LDR r5,[r2,#0] + LDR r4,[r6,#0] + STR r5,[r6,#0] + STR r4,[r2,#0] + ADDS r1,r1,#4 + SUBS r3,r3,#1 + BNE arm_bitreversal_16_0 + POP {r4-r6} + BX lr + ENDP + +#else + +arm_bitreversal_32 PROC + ADDS r3,r1,#1 + CMP r3,#1 + IT LS + BXLS lr + PUSH {r4-r9} + ADDS r1,r2,#2 + LSRS r3,r3,#2 +arm_bitreversal_32_0 LABEL ;/* loop unrolled by 2 */ + LDRH r8,[r1,#4] + LDRH r9,[r1,#2] + LDRH r2,[r1,#0] + LDRH r12,[r1,#-2] + ADD r8,r0,r8 + ADD r9,r0,r9 + ADD r2,r0,r2 + ADD r12,r0,r12 + LDR r7,[r9,#0] + LDR r6,[r8,#0] + LDR r5,[r2,#0] + LDR r4,[r12,#0] + STR r6,[r9,#0] + STR r7,[r8,#0] + STR r5,[r12,#0] + STR r4,[r2,#0] + LDR r7,[r9,#4] + LDR r6,[r8,#4] + LDR r5,[r2,#4] + LDR r4,[r12,#4] + STR r6,[r9,#4] + STR r7,[r8,#4] + STR r5,[r12,#4] + STR r4,[r2,#4] + ADDS r1,r1,#8 + SUBS r3,r3,#1 + BNE arm_bitreversal_32_0 + POP {r4-r9} + BX lr + ENDP + +arm_bitreversal_16 PROC + ADDS r3,r1,#1 + CMP r3,#1 + IT LS + BXLS lr + PUSH {r4-r9} + ADDS r1,r2,#2 + LSRS r3,r3,#2 +arm_bitreversal_16_0 LABEL ;/* loop unrolled by 2 */ + LDRH r8,[r1,#4] + LDRH r9,[r1,#2] + LDRH r2,[r1,#0] + LDRH r12,[r1,#-2] + ADD r8,r0,r8,LSR #1 + ADD r9,r0,r9,LSR #1 + ADD r2,r0,r2,LSR #1 + ADD r12,r0,r12,LSR #1 + LDR r7,[r9,#0] + LDR r6,[r8,#0] + LDR r5,[r2,#0] + LDR r4,[r12,#0] + STR r6,[r9,#0] + STR r7,[r8,#0] + STR r5,[r12,#0] + STR r4,[r2,#0] + ADDS r1,r1,#8 + SUBS r3,r3,#1 + BNE arm_bitreversal_16_0 + POP {r4-r9} + BX lr + ENDP + +#endif + + END diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.c new file mode 100644 index 0000000..802129d --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_bitreversal2.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bitreversal2.c + * Description: Bitreversal functions + * + * $Date: 18. March 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + + +/** + @brief In-place 64 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 64-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_64( + uint64_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint64_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} + +/** + @brief In-place 32 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 32-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_32( + uint32_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint32_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} + + +/** + @brief In-place 16 bit reversal function. + @param[in,out] pSrc points to in-place buffer of unknown 16-bit data type + @param[in] bitRevLen bit reversal table length + @param[in] pBitRevTab points to bit reversal table + @return none +*/ + +void arm_bitreversal_16( + uint16_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) +{ + uint16_t a, b, i, tmp; + + for (i = 0; i < bitRevLen; ) + { + a = pBitRevTab[i ] >> 2; + b = pBitRevTab[i + 1] >> 2; + + //real + tmp = pSrc[a]; + pSrc[a] = pSrc[b]; + pSrc[b] = tmp; + + //complex + tmp = pSrc[a+1]; + pSrc[a+1] = pSrc[b+1]; + pSrc[b+1] = tmp; + + i += 2; + } +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f32.c new file mode 100644 index 0000000..7dc0738 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f32.c @@ -0,0 +1,1222 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_f32.c + * Description: Combined Radix Decimation in Frequency CFFT Floating point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_helium_utils.h" +#include "arm_vec_fft.h" +#include "arm_mve_tables.h" + + +static float32_t arm_inverse_fft_length_f32(uint16_t fftLen) +{ + float32_t retValue=1.0; + + switch (fftLen) + { + + case 4096U: + retValue = 0.000244140625; + break; + + case 2048U: + retValue = 0.00048828125; + break; + + case 1024U: + retValue = 0.0009765625f; + break; + + case 512U: + retValue = 0.001953125; + break; + + case 256U: + retValue = 0.00390625f; + break; + + case 128U: + retValue = 0.0078125; + break; + + case 64U: + retValue = 0.015625f; + break; + + case 32U: + retValue = 0.03125; + break; + + case 16U: + retValue = 0.0625f; + break; + + + default: + break; + } + return(retValue); +} + + +static void arm_bitreversal_f32_inpl_mve( + uint32_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) + +{ + uint64_t *src = (uint64_t *) pSrc; + uint32_t blkCnt; /* loop counters */ + uint32x4_t bitRevTabOff; + uint32x4_t one = vdupq_n_u32(1); + + blkCnt = (bitRevLen / 2) / 2; + while (blkCnt > 0U) { + bitRevTabOff = vldrhq_u32(pBitRevTab); + pBitRevTab += 4; + + uint64x2_t bitRevOff1 = vmullbq_int_u32(bitRevTabOff, one); + uint64x2_t bitRevOff2 = vmulltq_int_u32(bitRevTabOff, one); + + uint64x2_t in1 = vldrdq_gather_offset_u64(src, bitRevOff1); + uint64x2_t in2 = vldrdq_gather_offset_u64(src, bitRevOff2); + + vstrdq_scatter_offset_u64(src, bitRevOff1, in2); + vstrdq_scatter_offset_u64(src, bitRevOff2, in1); + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } +} + + +static void _arm_radix4_butterfly_f32_mve(const arm_cfft_instance_f32 * S,float32_t * pSrc, uint32_t fftLen) +{ + f32x4_t vecTmp0, vecTmp1; + f32x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; + f32x4_t vecA, vecB, vecC, vecD; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q31_t *), + (1 - 16) * sizeof(q31_t *), + (8 - 16) * sizeof(q31_t *), + (9 - 16) * sizeof(q31_t *) + }; + + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + for (int k = fftLen / 4u; k > 1; k >>= 2) + { + for (int i = 0; i < iter; i++) + { + float32_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + float32_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + float32_t const *p_rearranged_twiddle_tab_stride3 = + &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + float32_t const *pW1, *pW2, *pW3; + float32_t *inA = pSrc + CMPLX_DIM * i * n1; + float32_t *inB = inA + n2 * CMPLX_DIM; + float32_t *inC = inB + n2 * CMPLX_DIM; + float32_t *inD = inC + n2 * CMPLX_DIM; + f32x4_t vecW; + + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 2; + /* + * load 2 f32 complex pair + */ + vecA = vldrwq_f32(inA); + vecC = vldrwq_f32(inC); + while (blkCnt > 0U) + { + vecB = vldrwq_f32(inB); + vecD = vldrwq_f32(inD); + + vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ + vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ + + vecSum1 = vecB + vecD; + vecDiff1 = vecB - vecD; + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vecSum0 + vecSum1; + vst1q(inA, vecTmp0); + inA += 4; + + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vecSum0 - vecSum1; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 4; + vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); + vst1q(inB, vecTmp1); + inB += 4; + + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 +=4; + vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); + vst1q(inC, vecTmp1); + inC += 4; + + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 4; + vecTmp1 = MVE_CMPLX_MULT_FLT_Conj_AxB(vecW, vecTmp0); + vst1q(inD, vecTmp1); + inD += 4; + + vecA = vldrwq_f32(inA); + vecC = vldrwq_f32(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* load scheduling */ + vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); + + blkCnt = (fftLen >> 3); + while (blkCnt > 0U) + { + vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ + vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ + + vecB = vldrwq_gather_base_f32(vecScGathAddr, 8); + vecD = vldrwq_gather_base_f32(vecScGathAddr, 24); + + vecSum1 = vecB + vecD; + vecDiff1 = vecB - vecD; + + /* pre-load for next iteration */ + vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); + + vecTmp0 = vecSum0 + vecSum1; + vstrwq_scatter_base_f32(vecScGathAddr, -64, vecTmp0); + + vecTmp0 = vecSum0 - vecSum1; + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 8, vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 16, vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 24, vecTmp0); + + blkCnt--; + } + + /* + * End of last stage process + */ +} + +static void arm_cfft_radix4by2_f32_mve(const arm_cfft_instance_f32 * S, float32_t *pSrc, uint32_t fftLen) +{ + float32_t const *pCoefVec; + float32_t const *pCoef = S->pTwiddle; + float32_t *pIn0, *pIn1; + uint32_t n2; + uint32_t blkCnt; + f32x4_t vecIn0, vecIn1, vecSum, vecDiff; + f32x4_t vecCmplxTmp, vecTw; + + + n2 = fftLen >> 1; + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 2; + while (blkCnt > 0U) + { + vecIn0 = *(f32x4_t *) pIn0; + vecIn1 = *(f32x4_t *) pIn1; + vecTw = vld1q(pCoefVec); + pCoefVec += 4; + + vecSum = vecIn0 + vecIn1; + vecDiff = vecIn0 - vecIn1; + + vecCmplxTmp = MVE_CMPLX_MULT_FLT_Conj_AxB(vecTw, vecDiff); + + vst1q(pIn0, vecSum); + pIn0 += 4; + vst1q(pIn1, vecCmplxTmp); + pIn1 += 4; + + blkCnt--; + } + + _arm_radix4_butterfly_f32_mve(S, pSrc, n2); + + _arm_radix4_butterfly_f32_mve(S, pSrc + fftLen, n2); + + pIn0 = pSrc; +} + +static void _arm_radix4_butterfly_inverse_f32_mve(const arm_cfft_instance_f32 * S,float32_t * pSrc, uint32_t fftLen, float32_t onebyfftLen) +{ + f32x4_t vecTmp0, vecTmp1; + f32x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; + f32x4_t vecA, vecB, vecC, vecD; + f32x4_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q31_t *), + (1 - 16) * sizeof(q31_t *), + (8 - 16) * sizeof(q31_t *), + (9 - 16) * sizeof(q31_t *) + }; + + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + for (int k = fftLen / 4; k > 1; k >>= 2) + { + for (int i = 0; i < iter; i++) + { + float32_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + float32_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + float32_t const *p_rearranged_twiddle_tab_stride3 = + &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + float32_t const *pW1, *pW2, *pW3; + float32_t *inA = pSrc + CMPLX_DIM * i * n1; + float32_t *inB = inA + n2 * CMPLX_DIM; + float32_t *inC = inB + n2 * CMPLX_DIM; + float32_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 2; + /* + * load 2 f32 complex pair + */ + vecA = vldrwq_f32(inA); + vecC = vldrwq_f32(inC); + while (blkCnt > 0U) + { + vecB = vldrwq_f32(inB); + vecD = vldrwq_f32(inD); + + vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ + vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ + + vecSum1 = vecB + vecD; + vecDiff1 = vecB - vecD; + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vecSum0 + vecSum1; + vst1q(inA, vecTmp0); + inA += 4; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vecSum0 - vecSum1; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW2); + pW2 += 4; + vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); + vst1q(inB, vecTmp1); + inB += 4; + + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW1); + pW1 += 4; + vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); + vst1q(inC, vecTmp1); + inC += 4; + + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 4; + vecTmp1 = MVE_CMPLX_MULT_FLT_AxB(vecW, vecTmp0); + vst1q(inD, vecTmp1); + inD += 4; + + vecA = vldrwq_f32(inA); + vecC = vldrwq_f32(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); + + blkCnt = (fftLen >> 3); + while (blkCnt > 0U) + { + vecSum0 = vecA + vecC; /* vecSum0 = vaddq(vecA, vecC) */ + vecDiff0 = vecA - vecC; /* vecSum0 = vsubq(vecA, vecC) */ + + vecB = vldrwq_gather_base_f32(vecScGathAddr, 8); + vecD = vldrwq_gather_base_f32(vecScGathAddr, 24); + + vecSum1 = vecB + vecD; + vecDiff1 = vecB - vecD; + + vecA = vldrwq_gather_base_wb_f32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_f32(vecScGathAddr, 16); + + vecTmp0 = vecSum0 + vecSum1; + vecTmp0 = vecTmp0 * onebyfftLen; + vstrwq_scatter_base_f32(vecScGathAddr, -64, vecTmp0); + + vecTmp0 = vecSum0 - vecSum1; + vecTmp0 = vecTmp0 * onebyfftLen; + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 8, vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_A_ixB(vecDiff0, vecDiff1); + vecTmp0 = vecTmp0 * onebyfftLen; + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 16, vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_A_ixB(vecDiff0, vecDiff1); + vecTmp0 = vecTmp0 * onebyfftLen; + vstrwq_scatter_base_f32(vecScGathAddr, -64 + 24, vecTmp0); + + blkCnt--; + } + + /* + * End of last stage process + */ +} + +static void arm_cfft_radix4by2_inverse_f32_mve(const arm_cfft_instance_f32 * S,float32_t *pSrc, uint32_t fftLen) +{ + float32_t const *pCoefVec; + float32_t const *pCoef = S->pTwiddle; + float32_t *pIn0, *pIn1; + uint32_t n2; + float32_t onebyfftLen = arm_inverse_fft_length_f32(fftLen); + uint32_t blkCnt; + f32x4_t vecIn0, vecIn1, vecSum, vecDiff; + f32x4_t vecCmplxTmp, vecTw; + + + n2 = fftLen >> 1; + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 2; + while (blkCnt > 0U) + { + vecIn0 = *(f32x4_t *) pIn0; + vecIn1 = *(f32x4_t *) pIn1; + vecTw = vld1q(pCoefVec); + pCoefVec += 4; + + vecSum = vecIn0 + vecIn1; + vecDiff = vecIn0 - vecIn1; + + vecCmplxTmp = MVE_CMPLX_MULT_FLT_AxB(vecTw, vecDiff); + + vst1q(pIn0, vecSum); + pIn0 += 4; + vst1q(pIn1, vecCmplxTmp); + pIn1 += 4; + + blkCnt--; + } + + _arm_radix4_butterfly_inverse_f32_mve(S, pSrc, n2, onebyfftLen); + + _arm_radix4_butterfly_inverse_f32_mve(S, pSrc + fftLen, n2, onebyfftLen); +} + + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the floating-point complex FFT. + @param[in] S points to an instance of the floating-point CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ + + +void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * pSrc, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t fftLen = S->fftLen; + + if (ifftFlag == 1U) { + + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_inverse_f32_mve(S, pSrc, fftLen, arm_inverse_fft_length_f32(S->fftLen)); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_f32_mve(S, pSrc, fftLen); + break; + } + } else { + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_f32_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_f32_mve(S, pSrc, fftLen); + break; + } + } + + + if (bitReverseFlag) + { + + arm_bitreversal_f32_inpl_mve((uint32_t*)pSrc, S->bitRevLength, S->pBitRevTable); + + } +} + + +#else +extern void arm_radix8_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier); + +extern void arm_bitreversal_32( + uint32_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +/** + @ingroup groupTransforms + */ + +/** + @defgroup ComplexFFT Complex FFT Functions + + @par + The Fast Fourier Transform (FFT) is an efficient algorithm for computing the + Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster + than the DFT, especially for long lengths. + The algorithms described in this section + operate on complex data. A separate set of functions is devoted to handling + of real sequences. + @par + There are separate algorithms for handling floating-point, Q15, and Q31 data + types. The algorithms available for each data type are described next. + @par + The FFT functions operate in-place. That is, the array holding the input data + will also be used to hold the corresponding result. The input data is complex + and contains 2*fftLen interleaved values as shown below. + 
{real[0], imag[0], real[1], imag[1], ...}
+ The FFT result will be contained in the same array and the frequency domain + values will have the same interleaving. + + @par Floating-point + The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8 + stages are performed along with a single radix-2 or radix-4 stage, as needed. + The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses + a different twiddle factor table. + @par + The function uses the standard FFT definition and output values may grow by a + factor of fftLen when computing the forward transform. The + inverse transform includes a scale of 1/fftLen as part of the + calculation and this matches the textbook definition of the inverse FFT. + @par + For the MVE version, the new arm_cfft_init_f32 initialization function is + mandatory. Compilation flags are available to include only the required tables for the + needed FFTs. Other FFT versions can continue to be initialized as + explained below. + @par + For not MVE versions, pre-initialized data structures containing twiddle factors + and bit reversal tables are provided and defined in arm_const_structs.h. Include + this header in your function and then pass one of the constant structures as + an argument to arm_cfft_f32. For example: + @par + arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1) + @par + computes a 64-point inverse complex FFT including bit reversal. + The data structures are treated as constant data and not modified during the + calculation. The same data structure can be reused for multiple transforms + including mixing forward and inverse transforms. + @par + Earlier releases of the library provided separate radix-2 and radix-4 + algorithms that operated on floating-point data. These functions are still + provided but are deprecated. The older functions are slower and less general + than the new functions. + @par + An example of initialization of the constants for the arm_cfft_f32 function follows: + @code + const static arm_cfft_instance_f32 *S; + ... + switch (length) { + case 16: + S = &arm_cfft_sR_f32_len16; + break; + case 32: + S = &arm_cfft_sR_f32_len32; + break; + case 64: + S = &arm_cfft_sR_f32_len64; + break; + case 128: + S = &arm_cfft_sR_f32_len128; + break; + case 256: + S = &arm_cfft_sR_f32_len256; + break; + case 512: + S = &arm_cfft_sR_f32_len512; + break; + case 1024: + S = &arm_cfft_sR_f32_len1024; + break; + case 2048: + S = &arm_cfft_sR_f32_len2048; + break; + case 4096: + S = &arm_cfft_sR_f32_len4096; + break; + } + @endcode + @par + The new arm_cfft_init_f32 can also be used. + @par Q15 and Q31 + The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4 + stages are performed along with a single radix-2 stage, as needed. + The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses + a different twiddle factor table. + @par + The function uses the standard FFT definition and output values may grow by a + factor of fftLen when computing the forward transform. The + inverse transform includes a scale of 1/fftLen as part of the + calculation and this matches the textbook definition of the inverse FFT. + @par + Pre-initialized data structures containing twiddle factors and bit reversal + tables are provided and defined in arm_const_structs.h. Include + this header in your function and then pass one of the constant structures as + an argument to arm_cfft_q31. For example: + @par + arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1) + @par + computes a 64-point inverse complex FFT including bit reversal. + The data structures are treated as constant data and not modified during the + calculation. The same data structure can be reused for multiple transforms + including mixing forward and inverse transforms. + @par + Earlier releases of the library provided separate radix-2 and radix-4 + algorithms that operated on floating-point data. These functions are still + provided but are deprecated. The older functions are slower and less general + than the new functions. + @par + An example of initialization of the constants for the arm_cfft_q31 function follows: + @code + const static arm_cfft_instance_q31 *S; + ... + switch (length) { + case 16: + S = &arm_cfft_sR_q31_len16; + break; + case 32: + S = &arm_cfft_sR_q31_len32; + break; + case 64: + S = &arm_cfft_sR_q31_len64; + break; + case 128: + S = &arm_cfft_sR_q31_len128; + break; + case 256: + S = &arm_cfft_sR_q31_len256; + break; + case 512: + S = &arm_cfft_sR_q31_len512; + break; + case 1024: + S = &arm_cfft_sR_q31_len1024; + break; + case 2048: + S = &arm_cfft_sR_q31_len2048; + break; + case 4096: + S = &arm_cfft_sR_q31_len4096; + break; + } + @endcode + + */ + +void arm_cfft_radix8by2_f32 (arm_cfft_instance_f32 * S, float32_t * p1) +{ + uint32_t L = S->fftLen; + float32_t * pCol1, * pCol2, * pMid1, * pMid2; + float32_t * p2 = p1 + L; + const float32_t * tw = (float32_t *) S->pTwiddle; + float32_t t1[4], t2[4], t3[4], t4[4], twR, twI; + float32_t m0, m1, m2, m3; + uint32_t l; + + pCol1 = p1; + pCol2 = p2; + + /* Define new length */ + L >>= 1; + + /* Initialize mid pointers */ + pMid1 = p1 + L; + pMid2 = p2 + L; + + /* do two dot Fourier transform */ + for (l = L >> 2; l > 0; l-- ) + { + t1[0] = p1[0]; + t1[1] = p1[1]; + t1[2] = p1[2]; + t1[3] = p1[3]; + + t2[0] = p2[0]; + t2[1] = p2[1]; + t2[2] = p2[2]; + t2[3] = p2[3]; + + t3[0] = pMid1[0]; + t3[1] = pMid1[1]; + t3[2] = pMid1[2]; + t3[3] = pMid1[3]; + + t4[0] = pMid2[0]; + t4[1] = pMid2[1]; + t4[2] = pMid2[2]; + t4[3] = pMid2[3]; + + *p1++ = t1[0] + t2[0]; + *p1++ = t1[1] + t2[1]; + *p1++ = t1[2] + t2[2]; + *p1++ = t1[3] + t2[3]; /* col 1 */ + + t2[0] = t1[0] - t2[0]; + t2[1] = t1[1] - t2[1]; + t2[2] = t1[2] - t2[2]; + t2[3] = t1[3] - t2[3]; /* for col 2 */ + + *pMid1++ = t3[0] + t4[0]; + *pMid1++ = t3[1] + t4[1]; + *pMid1++ = t3[2] + t4[2]; + *pMid1++ = t3[3] + t4[3]; /* col 1 */ + + t4[0] = t4[0] - t3[0]; + t4[1] = t4[1] - t3[1]; + t4[2] = t4[2] - t3[2]; + t4[3] = t4[3] - t3[3]; /* for col 2 */ + + twR = *tw++; + twI = *tw++; + + /* multiply by twiddle factors */ + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + /* R = R * Tr - I * Ti */ + *p2++ = m0 + m1; + /* I = I * Tr + R * Ti */ + *p2++ = m2 - m3; + + /* use vertical symmetry */ + /* 0.9988 - 0.0491i <==> -0.0491 - 0.9988i */ + m0 = t4[0] * twI; + m1 = t4[1] * twR; + m2 = t4[1] * twI; + m3 = t4[0] * twR; + + *pMid2++ = m0 - m1; + *pMid2++ = m2 + m3; + + twR = *tw++; + twI = *tw++; + + m0 = t2[2] * twR; + m1 = t2[3] * twI; + m2 = t2[3] * twR; + m3 = t2[2] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + + m0 = t4[2] * twI; + m1 = t4[3] * twR; + m2 = t4[3] * twI; + m3 = t4[2] * twR; + + *pMid2++ = m0 - m1; + *pMid2++ = m2 + m3; + } + + /* first col */ + arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 2U); + + /* second col */ + arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 2U); +} + +void arm_cfft_radix8by4_f32 (arm_cfft_instance_f32 * S, float32_t * p1) +{ + uint32_t L = S->fftLen >> 1; + float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4; + const float32_t *tw2, *tw3, *tw4; + float32_t * p2 = p1 + L; + float32_t * p3 = p2 + L; + float32_t * p4 = p3 + L; + float32_t t2[4], t3[4], t4[4], twR, twI; + float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1; + float32_t m0, m1, m2, m3; + uint32_t l, twMod2, twMod3, twMod4; + + pCol1 = p1; /* points to real values by default */ + pCol2 = p2; + pCol3 = p3; + pCol4 = p4; + pEnd1 = p2 - 1; /* points to imaginary values by default */ + pEnd2 = p3 - 1; + pEnd3 = p4 - 1; + pEnd4 = pEnd3 + L; + + tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle; + + L >>= 1; + + /* do four dot Fourier transform */ + + twMod2 = 2; + twMod3 = 4; + twMod4 = 6; + + /* TOP */ + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + + /* col 2 */ + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + /* col 3 */ + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + /* col 4 */ + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + /* col 1 */ + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + /* Twiddle factors are ones */ + *p2++ = t2[0]; + *p2++ = t2[1]; + *p3++ = t3[0]; + *p3++ = t3[1]; + *p4++ = t4[0]; + *p4++ = t4[1]; + + tw2 += twMod2; + tw3 += twMod3; + tw4 += twMod4; + + for (l = (L - 2) >> 1; l > 0; l-- ) + { + /* TOP */ + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + /* col 2 */ + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + /* col 3 */ + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + /* col 4 */ + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + /* col 1 - top */ + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + /* BOTTOM */ + p1ap3_1 = pEnd1[-1] + pEnd3[-1]; + p1sp3_1 = pEnd1[-1] - pEnd3[-1]; + p1ap3_0 = pEnd1[ 0] + pEnd3[0]; + p1sp3_0 = pEnd1[ 0] - pEnd3[0]; + /* col 2 */ + t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1; + t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1]; + /* col 3 */ + t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1]; + t3[3] = p1ap3_0 - pEnd2[ 0] - pEnd4[ 0]; + /* col 4 */ + t4[2] = pEnd2[ 0] - pEnd4[ 0] - p1sp3_1; + t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0; + /* col 1 - Bottom */ + *pEnd1-- = p1ap3_0 + pEnd2[ 0] + pEnd4[ 0]; + *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1]; + + /* COL 2 */ + /* read twiddle factors */ + twR = *tw2++; + twI = *tw2++; + /* multiply by twiddle factors */ + /* let Z1 = a + i(b), Z2 = c + i(d) */ + /* => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d) */ + + /* Top */ + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + /* use vertical symmetry col 2 */ + /* 0.9997 - 0.0245i <==> 0.0245 - 0.9997i */ + /* Bottom */ + m0 = t2[3] * twI; + m1 = t2[2] * twR; + m2 = t2[2] * twI; + m3 = t2[3] * twR; + + *pEnd2-- = m0 - m1; + *pEnd2-- = m2 + m3; + + /* COL 3 */ + twR = tw3[0]; + twI = tw3[1]; + tw3 += twMod3; + /* Top */ + m0 = t3[0] * twR; + m1 = t3[1] * twI; + m2 = t3[1] * twR; + m3 = t3[0] * twI; + + *p3++ = m0 + m1; + *p3++ = m2 - m3; + /* use vertical symmetry col 3 */ + /* 0.9988 - 0.0491i <==> -0.9988 - 0.0491i */ + /* Bottom */ + m0 = -t3[3] * twR; + m1 = t3[2] * twI; + m2 = t3[2] * twR; + m3 = t3[3] * twI; + + *pEnd3-- = m0 - m1; + *pEnd3-- = m3 - m2; + + /* COL 4 */ + twR = tw4[0]; + twI = tw4[1]; + tw4 += twMod4; + /* Top */ + m0 = t4[0] * twR; + m1 = t4[1] * twI; + m2 = t4[1] * twR; + m3 = t4[0] * twI; + + *p4++ = m0 + m1; + *p4++ = m2 - m3; + /* use vertical symmetry col 4 */ + /* 0.9973 - 0.0736i <==> -0.0736 + 0.9973i */ + /* Bottom */ + m0 = t4[3] * twI; + m1 = t4[2] * twR; + m2 = t4[2] * twI; + m3 = t4[3] * twR; + + *pEnd4-- = m0 - m1; + *pEnd4-- = m2 + m3; + } + + /* MIDDLE */ + /* Twiddle factors are */ + /* 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i */ + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + + /* col 2 */ + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + /* col 3 */ + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + /* col 4 */ + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + /* col 1 - Top */ + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + /* COL 2 */ + twR = tw2[0]; + twI = tw2[1]; + + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + /* COL 3 */ + twR = tw3[0]; + twI = tw3[1]; + + m0 = t3[0] * twR; + m1 = t3[1] * twI; + m2 = t3[1] * twR; + m3 = t3[0] * twI; + + *p3++ = m0 + m1; + *p3++ = m2 - m3; + /* COL 4 */ + twR = tw4[0]; + twI = tw4[1]; + + m0 = t4[0] * twR; + m1 = t4[1] * twI; + m2 = t4[1] * twR; + m3 = t4[0] * twI; + + *p4++ = m0 + m1; + *p4++ = m2 - m3; + + /* first col */ + arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 4U); + + /* second col */ + arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 4U); + + /* third col */ + arm_radix8_butterfly_f32 (pCol3, L, (float32_t *) S->pTwiddle, 4U); + + /* fourth col */ + arm_radix8_butterfly_f32 (pCol4, L, (float32_t *) S->pTwiddle, 4U); +} + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the floating-point complex FFT. + @param[in] S points to an instance of the floating-point CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ + +void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen, l; + float32_t invL, * pSrc; + + if (ifftFlag == 1U) + { + /* Conjugate input data */ + pSrc = p1 + 1; + for (l = 0; l < L; l++) + { + *pSrc = -*pSrc; + pSrc += 2; + } + } + + switch (L) + { + case 16: + case 128: + case 1024: + arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1); + break; + case 32: + case 256: + case 2048: + arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1); + break; + case 64: + case 512: + case 4096: + arm_radix8_butterfly_f32 ( p1, L, (float32_t *) S->pTwiddle, 1); + break; + } + + if ( bitReverseFlag ) + arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable); + + if (ifftFlag == 1U) + { + invL = 1.0f / (float32_t)L; + + /* Conjugate and scale output data */ + pSrc = p1; + for (l= 0; l < L; l++) + { + *pSrc++ *= invL ; + *pSrc = -(*pSrc) * invL; + pSrc++; + } + } +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f64.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f64.c new file mode 100644 index 0000000..8c6d3e6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_f64.c @@ -0,0 +1,318 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_f64.c + * Description: Combined Radix Decimation in Frequency CFFT Double Precision Floating point processing function + * + * $Date: 29. November 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + + +extern void arm_radix4_butterfly_f64( + float64_t * pSrc, + uint16_t fftLen, + const float64_t * pCoef, + uint16_t twidCoefModifier); + +extern void arm_bitreversal_64( + uint64_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +/** +* @} end of ComplexFFT group +*/ + +/* ---------------------------------------------------------------------- + * Internal helper function used by the FFTs + * ---------------------------------------------------------------------- */ + +/* +* @brief Core function for the Double Precision floating-point CFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of F64 data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to the twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ + +void arm_radix4_butterfly_f64( + float64_t * pSrc, + uint16_t fftLen, + const float64_t * pCoef, + uint16_t twidCoefModifier) +{ + + float64_t co1, co2, co3, si1, si2, si3; + uint32_t ia1, ia2, ia3; + uint32_t i0, i1, i2, i3; + uint32_t n1, n2, j, k; + + float64_t t1, t2, r1, r2, s1, s2; + + + /* Initializations for the fft calculation */ + n2 = fftLen; + n1 = n2; + for (k = fftLen; k > 1U; k >>= 2U) + { + /* Initializations for the fft calculation */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* FFT Calculation */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* xa + xc */ + r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)]; + + /* xa - xc */ + r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = r1 + t1; + + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = s1 + t2; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (r1 * co2) + (s1 * si2); + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2); + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (r1 * co1) + (s1 * si1); + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1); + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (r2 * co3) + (s2 * si3); + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3); + + i0 += n1; + } while ( i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } +} + +/* +* @brief Core function for the Double Precision floating-point CFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of F64 data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to the twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ + +void arm_cfft_radix4by2_f64( + float64_t * pSrc, + uint32_t fftLen, + const float64_t * pCoef) +{ + uint32_t i, l; + uint32_t n2, ia; + float64_t xt, yt, cosVal, sinVal; + float64_t p0, p1,p2,p3,a0,a1; + + n2 = fftLen >> 1; + ia = 0; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2*ia]; + sinVal = pCoef[2*ia + 1]; + ia++; + + l = i + n2; + + /* Butterfly implementation */ + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + } + + // first col + arm_radix4_butterfly_f64( pSrc, n2, (float64_t*)pCoef, 2U); + // second col + arm_radix4_butterfly_f64( pSrc + fftLen, n2, (float64_t*)pCoef, 2U); + +} + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the Double Precision floating-point complex FFT. + @param[in] S points to an instance of the Double Precision floating-point CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ + +void arm_cfft_f64( + const arm_cfft_instance_f64 * S, + float64_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen, l; + float64_t invL, * pSrc; + + if (ifftFlag == 1U) + { + /* Conjugate input data */ + pSrc = p1 + 1; + for(l=0; lpTwiddle, 1U); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_f64 ( p1, L, (float64_t*)S->pTwiddle); + break; + + } + + if ( bitReverseFlag ) + arm_bitreversal_64((uint64_t*)p1, S->bitRevLength,S->pBitRevTable); + + if (ifftFlag == 1U) + { + invL = 1.0 / (float64_t)L; + /* Conjugate and scale output data */ + pSrc = p1; + for(l=0; lbitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength; \ + S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable; \ + S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle; + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the cfft f32 function + @param[in,out] S points to an instance of the floating-point CFFT structure + @param[in] fftLen fft length (number of complex samples) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + + @par Use of this function is mandatory only for the MVE version of the FFT. + Other versions can still initialize directly the data structure using + variables declared in arm_const_structs.h + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "arm_vec_fft.h" +#include "arm_mve_tables.h" + +arm_status arm_cfft_radix4by2_rearrange_twiddles_f32(arm_cfft_instance_f32 *S, int twidCoefModifier) +{ + + switch (S->fftLen >> (twidCoefModifier - 1)) { + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_4096_f32; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_4096_f32; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_4096_f32; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_4096_f32; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_4096_f32; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_4096_f32; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + case 1024U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_1024_f32; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_1024_f32; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_1024_f32; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_1024_f32; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_1024_f32; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_1024_f32; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) || defined(ARM_TABLE_BITREVIDX_FXT_512) + case 256U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_256_f32; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_256_f32; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_256_f32; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_256_f32; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_256_f32; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_256_f32; + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 64U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_64_f32; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_64_f32; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_64_f32; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_64_f32; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_64_f32; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_64_f32; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 16U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_16_f32; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_16_f32; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_16_f32; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_16_f32; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_16_f32; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_16_f32; + break; +#endif + + default: + return(ARM_MATH_ARGUMENT_ERROR); + break; + /* invalid sizes already filtered */ + } + + return(ARM_MATH_SUCCESS); + +} + +arm_status arm_cfft_init_f32( + arm_cfft_instance_f32 * S, + uint16_t fftLen) +{ + + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { + /* Initializations of structure parameters for 4096 point FFT */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_4096; + S->pTwiddle = (float32_t *)twiddleCoef_4096; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_2048; + S->pTwiddle = (float32_t *)twiddleCoef_2048; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_1024; + S->pTwiddle = (float32_t *)twiddleCoef_1024; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_512; + S->pTwiddle = (float32_t *)twiddleCoef_512; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + case 256U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_256; + S->pTwiddle = (float32_t *)twiddleCoef_256; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 128U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_128; + S->pTwiddle = (float32_t *)twiddleCoef_128; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + case 64U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_64; + S->pTwiddle = (float32_t *)twiddleCoef_64; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 32U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_32; + S->pTwiddle = (float32_t *)twiddleCoef_32; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_16; + S->pTwiddle = (float32_t *)twiddleCoef_16; + status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#else +arm_status arm_cfft_init_f32( + arm_cfft_instance_f32 * S, + uint16_t fftLen) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f32,4096); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f32,2048); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f32,1024); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f32,512); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) + case 256U: + FFTINIT(f32,256); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) + case 128U: + FFTINIT(f32,128); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) + case 64U: + FFTINIT(f32,64); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) + case 32U: + FFTINIT(f32,32); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + FFTINIT(f32,16); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_f64.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_f64.c new file mode 100644 index 0000000..54615d3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_f64.c @@ -0,0 +1,150 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_f64.c + * Description: Initialization function for cfft f64 instance + * + * $Date: 23. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#define FFTINIT(EXT,SIZE) \ + S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength; \ + S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable; \ + S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle; + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the cfft f64 function + @param[in,out] S points to an instance of the floating-point CFFT structure + @param[in] fftLen fft length (number of complex samples) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + + @par Use of this function is mandatory only for the MVE version of the FFT. + Other versions can still initialize directly the data structure using + variables declared in arm_const_structs.h + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + + +arm_status arm_cfft_init_f64( + arm_cfft_instance_f64 * S, + uint16_t fftLen) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f64,4096); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f64,2048); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f64,1024); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + FFTINIT(f64,512); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) + case 256U: + FFTINIT(f64,256); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) + case 128U: + FFTINIT(f64,128); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) + case 64U: + FFTINIT(f64,64); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) + case 32U: + FFTINIT(f64,32); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_f64_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + FFTINIT(f64,16); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q15.c new file mode 100644 index 0000000..048d708 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q15.c @@ -0,0 +1,356 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_q15.c + * Description: Initialization function for cfft q15 instance + * + * $Date: 07. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#define FFTINIT(EXT,SIZE) \ + S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength; \ + S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable; \ + S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle; + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the cfft q15 function + @param[in,out] S points to an instance of the floating-point CFFT structure + @param[in] fftLen fft length (number of complex samples) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + + @par Use of this function is mandatory only for the MVE version of the FFT. + Other versions can still initialize directly the data structure using + variables declared in arm_const_structs.h + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +#if defined(ARM_MATH_MVEI) + +#include "arm_vec_fft.h" +#include "arm_mve_tables.h" + + +arm_status arm_cfft_radix4by2_rearrange_twiddles_q15(arm_cfft_instance_q15 *S, int twidCoefModifier) +{ + + switch (S->fftLen >> (twidCoefModifier - 1)) { + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_4096_q15; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_4096_q15; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_4096_q15; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_4096_q15; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_4096_q15; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_4096_q15; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + case 1024U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_1024_q15; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_1024_q15; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_1024_q15; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_1024_q15; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_1024_q15; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_1024_q15; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) || defined(ARM_TABLE_BITREVIDX_FXT_512) + case 256U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_256_q15; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_256_q15; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_256_q15; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_256_q15; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_256_q15; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_256_q15; + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 64U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_64_q15; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_64_q15; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_64_q15; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_64_q15; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_64_q15; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_64_q15; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 16U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_16_q15; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_16_q15; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_16_q15; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_16_q15; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_16_q15; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_16_q15; + break; +#endif + + default: + return(ARM_MATH_ARGUMENT_ERROR); + break; + /* invalid sizes already filtered */ + } + + return(ARM_MATH_SUCCESS); + +} + + + +arm_status arm_cfft_init_q15( + arm_cfft_instance_q15 * S, + uint16_t fftLen) +{ + + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { + /* Initializations of structure parameters for 4096 point FFT */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_4096; + S->pTwiddle = (q15_t *)twiddleCoef_4096_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_2048; + S->pTwiddle = (q15_t *)twiddleCoef_2048_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_1024; + S->pTwiddle = (q15_t *)twiddleCoef_1024_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_512; + S->pTwiddle = (q15_t *)twiddleCoef_512_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + case 256U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_256; + S->pTwiddle = (q15_t *)twiddleCoef_256_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 128U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_128; + S->pTwiddle = (q15_t *)twiddleCoef_128_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + case 64U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_64; + S->pTwiddle = (q15_t *)twiddleCoef_64_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 32U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_32; + S->pTwiddle = (q15_t *)twiddleCoef_32_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_16; + S->pTwiddle = (q15_t *)twiddleCoef_16_q15; + status=arm_cfft_radix4by2_rearrange_twiddles_q15(S, 1); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#else +arm_status arm_cfft_init_q15( + arm_cfft_instance_q15 * S, + uint16_t fftLen) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q15,4096); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q15,2048); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q15,1024); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q15,512); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) + case 256U: + FFTINIT(q15,256); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) + case 128U: + FFTINIT(q15,128); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) + case 64U: + FFTINIT(q15,64); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) + case 32U: + FFTINIT(q15,32); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + FFTINIT(q15,16); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q31.c new file mode 100644 index 0000000..b49700e --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_init_q31.c @@ -0,0 +1,356 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_q31.c + * Description: Initialization function for cfft q31 instance + * + * $Date: 07. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#define FFTINIT(EXT,SIZE) \ + S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength; \ + S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable; \ + S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle; + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the cfft q31 function + @param[in,out] S points to an instance of the floating-point CFFT structure + @param[in] fftLen fft length (number of complex samples) + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + + @par Use of this function is mandatory only for the MVE version of the FFT. + Other versions can still initialize directly the data structure using + variables declared in arm_const_structs.h + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +#if defined(ARM_MATH_MVEI) + +#include "arm_vec_fft.h" +#include "arm_mve_tables.h" + + +arm_status arm_cfft_radix4by2_rearrange_twiddles_q31(arm_cfft_instance_q31 *S, int twidCoefModifier) +{ + + switch (S->fftLen >> (twidCoefModifier - 1)) { + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_4096_q31; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_4096_q31; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_4096_q31; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_4096_q31; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_4096_q31; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_4096_q31; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + case 1024U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_1024_q31; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_1024_q31; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_1024_q31; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_1024_q31; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_1024_q31; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_1024_q31; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) || defined(ARM_TABLE_BITREVIDX_FXT_512) + case 256U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_256_q31; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_256_q31; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_256_q31; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_256_q31; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_256_q31; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_256_q31; + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 64U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_64_q31; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_64_q31; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_64_q31; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_64_q31; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_64_q31; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_64_q31; + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 16U: + S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_16_q31; + S->rearranged_twiddle_stride1 = rearranged_twiddle_stride1_16_q31; + + S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_16_q31; + S->rearranged_twiddle_stride2 = rearranged_twiddle_stride2_16_q31; + + S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_16_q31; + S->rearranged_twiddle_stride3 = rearranged_twiddle_stride3_16_q31; + break; +#endif + + default: + return(ARM_MATH_ARGUMENT_ERROR); + break; + /* invalid sizes already filtered */ + } + + return(ARM_MATH_SUCCESS); + +} + + + +arm_status arm_cfft_init_q31( + arm_cfft_instance_q31 * S, + uint16_t fftLen) +{ + + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { + /* Initializations of structure parameters for 4096 point FFT */ +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + case 4096U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_4096; + S->pTwiddle = (q31_t *)twiddleCoef_4096_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_2048; + S->pTwiddle = (q31_t *)twiddleCoef_2048_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_1024; + S->pTwiddle = (q31_t *)twiddleCoef_1024_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_512; + S->pTwiddle = (q31_t *)twiddleCoef_512_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + case 256U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_256; + S->pTwiddle = (q31_t *)twiddleCoef_256_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + case 128U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_128; + S->pTwiddle = (q31_t *)twiddleCoef_128_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + case 64U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_64; + S->pTwiddle = (q31_t *)twiddleCoef_64_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 1); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + case 32U: + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_32; + S->pTwiddle = (q31_t *)twiddleCoef_32_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 2); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH; + S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_16; + S->pTwiddle = (q31_t *)twiddleCoef_16_q31; + status=arm_cfft_radix4by2_rearrange_twiddles_q31(S, 1); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#else +arm_status arm_cfft_init_q31( + arm_cfft_instance_q31 * S, + uint16_t fftLen) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = NULL; + + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096)) + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q31,4096); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048)) + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q31,2048); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024)) + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q31,1024); + + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FLT_512)) + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the bit reversal table modifier */ + FFTINIT(q31,512); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FLT_256)) + case 256U: + FFTINIT(q31,256); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FLT_128)) + case 128U: + FFTINIT(q31,128); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FLT_64)) + case 64U: + FFTINIT(q31,64); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FLT_32)) + case 32U: + FFTINIT(q31,32); + break; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FLT_16)) + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + FFTINIT(q31,16); + break; +#endif + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + + return (status); +} +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q15.c new file mode 100644 index 0000000..66788e2 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q15.c @@ -0,0 +1,949 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_q15.c + * Description: Combined Radix Decimation in Q15 Frequency CFFT processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEI) + +#include "arm_vec_fft.h" + + +static void arm_bitreversal_16_inpl_mve( + uint16_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) + +{ + uint32_t *src = (uint32_t *)pSrc; + uint32_t blkCnt; /* loop counters */ + uint32x4_t bitRevTabOff; + uint16x8_t one = vdupq_n_u16(1); + + blkCnt = (bitRevLen / 2) / 4; + while (blkCnt > 0U) { + bitRevTabOff = vldrhq_u16(pBitRevTab); + pBitRevTab += 8; + + uint32x4_t bitRevOff1 = vmullbq_int_u16(bitRevTabOff, one); + uint32x4_t bitRevOff2 = vmulltq_int_u16(bitRevTabOff, one); + + bitRevOff1 = bitRevOff1 >> 3; + bitRevOff2 = bitRevOff2 >> 3; + + uint32x4_t in1 = vldrwq_gather_shifted_offset_u32(src, bitRevOff1); + uint32x4_t in2 = vldrwq_gather_shifted_offset_u32(src, bitRevOff2); + + vstrwq_scatter_shifted_offset_u32(src, bitRevOff1, in2); + vstrwq_scatter_shifted_offset_u32(src, bitRevOff2, in1); + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = bitRevLen & 7; + if (blkCnt > 0U) { + mve_pred16_t p0 = vctp16q(blkCnt); + + bitRevTabOff = vldrhq_z_u16(pBitRevTab, p0); + + uint32x4_t bitRevOff1 = vmullbq_int_u16(bitRevTabOff, one); + uint32x4_t bitRevOff2 = vmulltq_int_u16(bitRevTabOff, one); + + bitRevOff1 = bitRevOff1 >> 3; + bitRevOff2 = bitRevOff2 >> 3; + + uint32x4_t in1 = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff1, p0); + uint32x4_t in2 = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff2, p0); + + vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff1, in2, p0); + vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff2, in1, p0); + } +} + +static void _arm_radix4_butterfly_q15_mve( + const arm_cfft_instance_q15 * S, + q15_t *pSrc, + uint32_t fftLen) +{ + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q15x8_t vecA, vecB, vecC, vecD; + q15x8_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q15_t *), (4 - 16) * sizeof(q15_t *), + (8 - 16) * sizeof(q15_t *), (12 - 16) * sizeof(q15_t *) + }; + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q15_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + q15_t const *pW1, *pW2, *pW3; + q15_t *inA = pSrc + CMPLX_DIM * i * n1; + q15_t *inB = inA + n2 * CMPLX_DIM; + q15_t *inC = inB + n2 * CMPLX_DIM; + q15_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 4; + /* + * load 4 x q15 complex pair + */ + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + while (blkCnt > 0U) + { + vecB = vldrhq_s16(inB); + vecD = vldrhq_s16(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 8; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + + vst1q(inB, vecTmp1); + inB += 8; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inC, vecTmp1); + inC += 8; + + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inD, vecTmp1); + inD += 8; + + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + blkCnt = (fftLen >> 4); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4); + vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, (q15x8_t) vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (q15x8_t) vecTmp0); + + blkCnt--; + } + +} + +static void arm_cfft_radix4by2_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q15_t *pIn0; + q15_t *pIn1; + const q15_t *pCoef = S->pTwiddle; + uint32_t blkCnt; + q15x8_t vecIn0, vecIn1, vecSum, vecDiff; + q15x8_t vecCmplxTmp, vecTw; + q15_t const *pCoefVec; + + n2 = fftLen >> 1; + + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 4; + + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn1 = *(q15x8_t *) pIn1; + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 8; + + vecTw = vld1q(pCoefVec); + pCoefVec += 8; + + vecDiff = vhsubq(vecIn0, vecIn1); + vecCmplxTmp = MVE_CMPLX_MULT_FX_AxConjB(vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 8; + + blkCnt--; + } + + _arm_radix4_butterfly_q15_mve(S, pSrc, n2); + + _arm_radix4_butterfly_q15_mve(S, pSrc + fftLen, n2); + + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 3; + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 8; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 7; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vstrhq_p(pIn0, vecIn0, p0); + } +} + +static void _arm_radix4_butterfly_inverse_q15_mve(const arm_cfft_instance_q15 *S,q15_t *pSrc, uint32_t fftLen) +{ + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q15x8_t vecA, vecB, vecC, vecD; + q15x8_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q15_t *), (4 - 16) * sizeof(q15_t *), + (8 - 16) * sizeof(q15_t *), (12 - 16) * sizeof(q15_t *) + }; + + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q15_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q15_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + q15_t const *pW1, *pW2, *pW3; + q15_t *inA = pSrc + CMPLX_DIM * i * n1; + q15_t *inB = inA + n2 * CMPLX_DIM; + q15_t *inC = inB + n2 * CMPLX_DIM; + q15_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 4; + /* + * load 4 x q15 complex pair + */ + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + while (blkCnt > 0U) + { + vecB = vldrhq_s16(inB); + vecD = vldrhq_s16(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 8; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + + vst1q(inB, vecTmp1); + inB += 8; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inC, vecTmp1); + inC += 8; + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 8; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inD, vecTmp1); + inD += 8; + + vecA = vldrhq_s16(inA); + vecC = vldrhq_s16(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + blkCnt = (fftLen >> 4); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4); + vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, (q15x8_t) vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (q15x8_t) vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (q15x8_t) vecTmp0); + + blkCnt--; + } +} + +static void arm_cfft_radix4by2_inverse_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q15_t *pIn0; + q15_t *pIn1; + const q15_t *pCoef = S->pTwiddle; + + uint32_t blkCnt; + q15x8_t vecIn0, vecIn1, vecSum, vecDiff; + q15x8_t vecCmplxTmp, vecTw; + q15_t const *pCoefVec; + + n2 = fftLen >> 1; + + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + pCoefVec = pCoef; + + blkCnt = n2 / 4; + + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn1 = *(q15x8_t *) pIn1; + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 8; + + vecTw = vld1q(pCoefVec); + pCoefVec += 8; + + vecDiff = vhsubq(vecIn0, vecIn1); + vecCmplxTmp = vqrdmlsdhq(vuninitializedq_s16() , vecDiff, vecTw); + vecCmplxTmp = vqrdmladhxq(vecCmplxTmp, vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 8; + + blkCnt--; + } + + + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc, n2); + + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc + fftLen, n2); + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 3; + while (blkCnt > 0U) + { + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 8; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 7; + while (blkCnt > 0U) + { + mve_pred16_t p0 = vctp16q(blkCnt); + + vecIn0 = *(q15x8_t *) pIn0; + vecIn0 = vecIn0 << 1; + vstrhq_p(pIn0, vecIn0, p0); + } +} + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for Q15 complex FFT. + @param[in] S points to an instance of Q15 CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * pSrc, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t fftLen = S->fftLen; + + if (ifftFlag == 1U) { + + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_inverse_q15_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q15_mve(S, pSrc, fftLen); + break; + } + } else { + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_q15_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q15_mve(S, pSrc, fftLen); + break; + } + } + + + if (bitReverseFlag) + { + + arm_bitreversal_16_inpl_mve((uint16_t*)pSrc, S->bitRevLength, S->pBitRevTable); + + } +} + +#else + +extern void arm_radix4_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_bitreversal_16( + uint16_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +void arm_cfft_radix4by2_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef); + +void arm_cfft_radix4by2_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for Q15 complex FFT. + @param[in] S points to an instance of Q15 CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen; + + if (ifftFlag == 1U) + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle ); + break; + } + } + else + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle ); + break; + } + } + + if ( bitReverseFlag ) + arm_bitreversal_16 ((uint16_t*) p1, S->bitRevLength, S->pBitRevTable); +} + +/** + @} end of ComplexFFT group + */ + +void arm_cfft_radix4by2_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1U; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = read_q15x2_ia ((q15_t **) &pC); + + T = read_q15x2 (pSi); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + S = read_q15x2 (pSl); + S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + R = __QSUB16(T, S); + + write_q15x2_ia (&pSi, __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16U; + out2 = __SMUSDX(coeff, R); +#else + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + } + +#else /* #if defined (ARM_MATH_DSP) */ + + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16U)) ); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16U)) ); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* first col */ + arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + p2 = pSrc[4 * i + 2]; + p3 = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + p2 <<= 1U; + p3 <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = p2; + pSrc[4 * i + 3] = p3; + } + +} + +void arm_cfft_radix4by2_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1U; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = read_q15x2_ia ((q15_t **) &pC); + + T = read_q15x2 (pSi); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + S = read_q15x2 (pSl); + S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */ + + R = __QSUB16(T, S); + + write_q15x2_ia (&pSi, __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16U; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + } + +#else /* #if defined (ARM_MATH_DSP) */ + + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16U)) ); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16U)) ); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* first col */ + arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + p2 = pSrc[4 * i + 2]; + p3 = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + p2 <<= 1U; + p3 <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = p2; + pSrc[4 * i + 3] = p3; + } +} + +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q31.c new file mode 100644 index 0000000..cbc89d8 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_q31.c @@ -0,0 +1,876 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_q31.c + * Description: Combined Radix Decimation in Frequency CFFT fixed point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + + +#if defined(ARM_MATH_MVEI) + +#include "arm_vec_fft.h" + +static void arm_bitreversal_32_inpl_mve( + uint32_t *pSrc, + const uint16_t bitRevLen, + const uint16_t *pBitRevTab) + +{ + uint64_t *src = (uint64_t *) pSrc; + uint32_t blkCnt; /* loop counters */ + uint32x4_t bitRevTabOff; + uint32x4_t one = vdupq_n_u32(1); + + blkCnt = (bitRevLen / 2) / 2; + while (blkCnt > 0U) { + bitRevTabOff = vldrhq_u32(pBitRevTab); + pBitRevTab += 4; + + uint64x2_t bitRevOff1 = vmullbq_int_u32(bitRevTabOff, one); + uint64x2_t bitRevOff2 = vmulltq_int_u32(bitRevTabOff, one); + + uint64x2_t in1 = vldrdq_gather_offset_u64(src, bitRevOff1); + uint64x2_t in2 = vldrdq_gather_offset_u64(src, bitRevOff2); + + vstrdq_scatter_offset_u64(src, bitRevOff1, in2); + vstrdq_scatter_offset_u64(src, bitRevOff2, in1); + + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } +} + +static void _arm_radix4_butterfly_q31_mve( + const arm_cfft_instance_q31 * S, + q31_t *pSrc, + uint32_t fftLen) +{ + q31x4_t vecTmp0, vecTmp1; + q31x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q31x4_t vecA, vecB, vecC, vecD; + q31x4_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q31_t *), (1 - 16) * sizeof(q31_t *), + (8 - 16) * sizeof(q31_t *), (9 - 16) * sizeof(q31_t *) + }; + + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q31_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q31_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q31_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + q31_t const *pW1, *pW2, *pW3; + q31_t *inA = pSrc + CMPLX_DIM * i * n1; + q31_t *inB = inA + n2 * CMPLX_DIM; + q31_t *inC = inB + n2 * CMPLX_DIM; + q31_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 2; + /* + * load 2 x q31 complex pair + */ + vecA = vldrwq_s32(inA); + vecC = vldrwq_s32(inC); + while (blkCnt > 0U) + { + vecB = vldrwq_s32(inB); + vecD = vldrwq_s32(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 4; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + + vst1q(inB, vecTmp1); + inB += 4; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inC, vecTmp1); + inC += 4; + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0); + vst1q(inD, vecTmp1); + inD += 4; + + vecA = vldrwq_s32(inA); + vecC = vldrwq_s32(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * End of 1st stages process + * data is in 11.21(q21) format for the 1024 point as there are 3 middle stages + * data is in 9.23(q23) format for the 256 point as there are 2 middle stages + * data is in 7.25(q25) format for the 64 point as there are 1 middle stage + * data is in 5.27(q27) format for the 16 point as there are no middle stages + */ + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_s32(vecScGathAddr, 16); + + blkCnt = (fftLen >> 3); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = vldrwq_gather_base_s32(vecScGathAddr, 8); + vecD = vldrwq_gather_base_s32(vecScGathAddr, 24); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_s32(vecScGathAddr, 16); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 16, vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 24, vecTmp0); + + blkCnt--; + } + + /* + * output is in 11.21(q21) format for the 1024 point + * output is in 9.23(q23) format for the 256 point + * output is in 7.25(q25) format for the 64 point + * output is in 5.27(q27) format for the 16 point + */ +} + + +static void arm_cfft_radix4by2_q31_mve(const arm_cfft_instance_q31 *S, q31_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q31_t *pIn0; + q31_t *pIn1; + const q31_t *pCoef = S->pTwiddle; + uint32_t blkCnt; + q31x4_t vecIn0, vecIn1, vecSum, vecDiff; + q31x4_t vecCmplxTmp, vecTw; + + n2 = fftLen >> 1; + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + + blkCnt = n2 / 2; + + while (blkCnt > 0U) + { + vecIn0 = vld1q_s32(pIn0); + vecIn1 = vld1q_s32(pIn1); + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 4; + + vecTw = vld1q_s32(pCoef); + pCoef += 4; + vecDiff = vhsubq(vecIn0, vecIn1); + + vecCmplxTmp = MVE_CMPLX_MULT_FX_AxConjB(vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 4; + + blkCnt--; + } + + _arm_radix4_butterfly_q31_mve(S, pSrc, n2); + + _arm_radix4_butterfly_q31_mve(S, pSrc + fftLen, n2); + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 2; + while (blkCnt > 0U) + { + vecIn0 = vld1q_s32(pIn0); + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 4; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecIn0 = vld1q_s32(pIn0); + vecIn0 = vecIn0 << 1; + vstrwq_p(pIn0, vecIn0, p0); + } + +} + +static void _arm_radix4_butterfly_inverse_q31_mve( + const arm_cfft_instance_q31 *S, + q31_t *pSrc, + uint32_t fftLen) +{ + q31x4_t vecTmp0, vecTmp1; + q31x4_t vecSum0, vecDiff0, vecSum1, vecDiff1; + q31x4_t vecA, vecB, vecC, vecD; + q31x4_t vecW; + uint32_t blkCnt; + uint32_t n1, n2; + uint32_t stage = 0; + int32_t iter = 1; + static const uint32_t strides[4] = { + (0 - 16) * sizeof(q31_t *), (1 - 16) * sizeof(q31_t *), + (8 - 16) * sizeof(q31_t *), (9 - 16) * sizeof(q31_t *) + }; + + /* + * Process first stages + * Each stage in middle stages provides two down scaling of the input + */ + n2 = fftLen; + n1 = n2; + n2 >>= 2u; + + for (int k = fftLen / 4u; k > 1; k >>= 2u) + { + for (int i = 0; i < iter; i++) + { + q31_t const *p_rearranged_twiddle_tab_stride2 = + &S->rearranged_twiddle_stride2[ + S->rearranged_twiddle_tab_stride2_arr[stage]]; + q31_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[ + S->rearranged_twiddle_tab_stride3_arr[stage]]; + q31_t const *p_rearranged_twiddle_tab_stride1 = + &S->rearranged_twiddle_stride1[ + S->rearranged_twiddle_tab_stride1_arr[stage]]; + + q31_t const *pW1, *pW2, *pW3; + q31_t *inA = pSrc + CMPLX_DIM * i * n1; + q31_t *inB = inA + n2 * CMPLX_DIM; + q31_t *inC = inB + n2 * CMPLX_DIM; + q31_t *inD = inC + n2 * CMPLX_DIM; + + pW1 = p_rearranged_twiddle_tab_stride1; + pW2 = p_rearranged_twiddle_tab_stride2; + pW3 = p_rearranged_twiddle_tab_stride3; + + blkCnt = n2 / 2; + /* + * load 2 x q31 complex pair + */ + vecA = vldrwq_s32(inA); + vecC = vldrwq_s32(inC); + while (blkCnt > 0U) + { + vecB = vldrwq_s32(inB); + vecD = vldrwq_s32(inD); + + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * [ 1 1 1 1 ] * [ A B C D ]' .* 1 + */ + vecTmp0 = vhaddq(vecSum0, vecSum1); + vst1q(inA, vecTmp0); + inA += 4; + /* + * [ 1 -1 1 -1 ] * [ A B C D ]' + */ + vecTmp0 = vhsubq(vecSum0, vecSum1); + /* + * [ 1 -1 1 -1 ] * [ A B C D ]'.* W2 + */ + vecW = vld1q(pW2); + pW2 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + + vst1q(inB, vecTmp1); + inB += 4; + /* + * [ 1 -i -1 +i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 -i -1 +i ] * [ A B C D ]'.* W1 + */ + vecW = vld1q(pW1); + pW1 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inC, vecTmp1); + inC += 4; + /* + * [ 1 +i -1 -i ] * [ A B C D ]' + */ + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + /* + * [ 1 +i -1 -i ] * [ A B C D ]'.* W3 + */ + vecW = vld1q(pW3); + pW3 += 4; + vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW); + vst1q(inD, vecTmp1); + inD += 4; + + vecA = vldrwq_s32(inA); + vecC = vldrwq_s32(inC); + + blkCnt--; + } + } + n1 = n2; + n2 >>= 2u; + iter = iter << 2; + stage++; + } + + /* + * End of 1st stages process + * data is in 11.21(q21) format for the 1024 point as there are 3 middle stages + * data is in 9.23(q23) format for the 256 point as there are 2 middle stages + * data is in 7.25(q25) format for the 64 point as there are 1 middle stage + * data is in 5.27(q27) format for the 16 point as there are no middle stages + */ + + /* + * start of Last stage process + */ + uint32x4_t vecScGathAddr = *(uint32x4_t *) strides; + vecScGathAddr = vecScGathAddr + (uint32_t) pSrc; + + /* + * load scheduling + */ + vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_s32(vecScGathAddr, 16); + + blkCnt = (fftLen >> 3); + while (blkCnt > 0U) + { + vecSum0 = vhaddq(vecA, vecC); + vecDiff0 = vhsubq(vecA, vecC); + + vecB = vldrwq_gather_base_s32(vecScGathAddr, 8); + vecD = vldrwq_gather_base_s32(vecScGathAddr, 24); + + vecSum1 = vhaddq(vecB, vecD); + vecDiff1 = vhsubq(vecB, vecD); + /* + * pre-load for next iteration + */ + vecA = vldrwq_gather_base_wb_s32(&vecScGathAddr, 64); + vecC = vldrwq_gather_base_s32(vecScGathAddr, 16); + + vecTmp0 = vhaddq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64, vecTmp0); + + vecTmp0 = vhsubq(vecSum0, vecSum1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, vecTmp0); + + vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 16, vecTmp0); + + vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1); + vstrwq_scatter_base_s32(vecScGathAddr, -64 + 24, vecTmp0); + + blkCnt--; + } + /* + * output is in 11.21(q21) format for the 1024 point + * output is in 9.23(q23) format for the 256 point + * output is in 7.25(q25) format for the 64 point + * output is in 5.27(q27) format for the 16 point + */ +} + +static void arm_cfft_radix4by2_inverse_q31_mve(const arm_cfft_instance_q31 *S, q31_t *pSrc, uint32_t fftLen) +{ + uint32_t n2; + q31_t *pIn0; + q31_t *pIn1; + const q31_t *pCoef = S->pTwiddle; + + //uint16_t twidCoefModifier = arm_cfft_radix2_twiddle_factor(S->fftLen); + //q31_t twidIncr = (2 * twidCoefModifier * sizeof(q31_t)); + uint32_t blkCnt; + //uint64x2_t vecOffs; + q31x4_t vecIn0, vecIn1, vecSum, vecDiff; + q31x4_t vecCmplxTmp, vecTw; + + n2 = fftLen >> 1; + + pIn0 = pSrc; + pIn1 = pSrc + fftLen; + //vecOffs[0] = 0; + //vecOffs[1] = (uint64_t) twidIncr; + blkCnt = n2 / 2; + + while (blkCnt > 0U) + { + vecIn0 = vld1q_s32(pIn0); + vecIn1 = vld1q_s32(pIn1); + + vecIn0 = vecIn0 >> 1; + vecIn1 = vecIn1 >> 1; + vecSum = vhaddq(vecIn0, vecIn1); + vst1q(pIn0, vecSum); + pIn0 += 4; + + //vecTw = (q31x4_t) vldrdq_gather_offset_s64(pCoef, vecOffs); + vecTw = vld1q_s32(pCoef); + pCoef += 4; + vecDiff = vhsubq(vecIn0, vecIn1); + + vecCmplxTmp = MVE_CMPLX_MULT_FX_AxB(vecDiff, vecTw); + vst1q(pIn1, vecCmplxTmp); + pIn1 += 4; + + //vecOffs = vaddq((q31x4_t) vecOffs, 2 * twidIncr); + blkCnt--; + } + + _arm_radix4_butterfly_inverse_q31_mve(S, pSrc, n2); + + _arm_radix4_butterfly_inverse_q31_mve(S, pSrc + fftLen, n2); + + pIn0 = pSrc; + blkCnt = (fftLen << 1) >> 2; + while (blkCnt > 0U) + { + vecIn0 = vld1q_s32(pIn0); + vecIn0 = vecIn0 << 1; + vst1q(pIn0, vecIn0); + pIn0 += 4; + blkCnt--; + } + /* + * tail + * (will be merged thru tail predication) + */ + blkCnt = (fftLen << 1) & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + + vecIn0 = vld1q_s32(pIn0); + vecIn0 = vecIn0 << 1; + vstrwq_p(pIn0, vecIn0, p0); + } + +} + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the Q31 complex FFT. + @param[in] S points to an instance of the fixed-point CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * pSrc, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t fftLen = S->fftLen; + + if (ifftFlag == 1U) { + + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_inverse_q31_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q31_mve(S, pSrc, fftLen); + break; + } + } else { + switch (fftLen) { + case 16: + case 64: + case 256: + case 1024: + case 4096: + _arm_radix4_butterfly_q31_mve(S, pSrc, fftLen); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q31_mve(S, pSrc, fftLen); + break; + } + } + + + if (bitReverseFlag) + { + + arm_bitreversal_32_inpl_mve((uint32_t*)pSrc, S->bitRevLength, S->pBitRevTable); + + } +} +#else + +extern void arm_radix4_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_bitreversal_32( + uint32_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +void arm_cfft_radix4by2_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef); + +void arm_cfft_radix4by2_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef); + + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the Q31 complex FFT. + @param[in] S points to an instance of the fixed-point CFFT structure + @param[in,out] p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return none + */ +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen; + + if (ifftFlag == 1U) + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_inverse_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q31 ( p1, L, S->pTwiddle ); + break; + } + } + else + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q31 ( p1, L, S->pTwiddle ); + break; + } + } + + if ( bitReverseFlag ) + arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable); +} + +/** + @} end of ComplexFFT group + */ + +void arm_cfft_radix4by2_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef) +{ + uint32_t i, l; + uint32_t n2; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U); + pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U); + + yt = (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U); + pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U); + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2 * l] = p0 << 1; + pSrc[2 * l + 1] = p1 << 1; + } + + + /* first col */ + arm_radix4_butterfly_q31 (pSrc, n2, (q31_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_q31 (pSrc + fftLen, n2, (q31_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + xt = pSrc[4 * i + 2]; + yt = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + xt <<= 1U; + yt <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = xt; + pSrc[4 * i + 3] = yt; + } + +} + +void arm_cfft_radix4by2_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef) +{ + uint32_t i, l; + uint32_t n2; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2 * i]; + sinVal = pCoef[2 * i + 1]; + + l = i + n2; + + xt = (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U); + pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U); + + yt = (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U); + pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U); + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2 * l] = p0 << 1U; + pSrc[2 * l + 1] = p1 << 1U; + } + + /* first col */ + arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2U); + + /* second col */ + arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2U); + + n2 = fftLen >> 1U; + for (i = 0; i < n2; i++) + { + p0 = pSrc[4 * i + 0]; + p1 = pSrc[4 * i + 1]; + xt = pSrc[4 * i + 2]; + yt = pSrc[4 * i + 3]; + + p0 <<= 1U; + p1 <<= 1U; + xt <<= 1U; + yt <<= 1U; + + pSrc[4 * i + 0] = p0; + pSrc[4 * i + 1] = p1; + pSrc[4 * i + 2] = xt; + pSrc[4 * i + 3] = yt; + } +} +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_f32.c new file mode 100644 index 0000000..f75e329 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_f32.c @@ -0,0 +1,470 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_f32.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen); + +extern void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Radix-2 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future + @param[in] S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure + @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @return none + */ + +void arm_cfft_radix2_f32( +const arm_cfft_radix2_instance_f32 * S, + float32_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-2 */ + arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, + S->twidCoefModifier, S->onebyfftLen); + } + else + { + /* Complex FFT radix-2 */ + arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, + S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + + +/** + @} end of ComplexFFT group + */ + + + +/* ---------------------------------------------------------------------- + ** Internal helper function used by the FFTs + ** ------------------------------------------------------------------- */ + +/** + brief Core function for the floating-point CFFT butterfly process. + param[in,out] pSrc points to in-place buffer of floating-point data type + param[in] fftLen length of the FFT + param[in] pCoef points to twiddle coefficient buffer + param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + return none + */ + +void arm_radix2_butterfly_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier) +{ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + float32_t xt, yt, cosVal, sinVal; + float32_t p0, p1, p2, p3; + float32_t a0, a1; + +#if defined (ARM_MATH_DSP) + + /* Initializations for the first stage */ + n2 = fftLen >> 1; + ia = 0; + i = 0; + + // loop for groups + for (k = n2; k > 0; k--) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + + /* Twiddle coefficients index modifier */ + ia += twidCoefModifier; + + /* index calculation for the input as, */ + /* pSrc[i + 0], pSrc[i + fftLen/1] */ + l = i + n2; + + /* Butterfly implementation */ + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i++; + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = n2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while ( j < n2); // groups loop end + twidCoefModifier <<= 1U; + } // stages loop end + + // loop for butterfly + for (i = 0; i < fftLen; i += 2) + { + a0 = pSrc[2 * i] + pSrc[2 * i + 2]; + xt = pSrc[2 * i] - pSrc[2 * i + 2]; + + yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; + a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + pSrc[2 * i + 2] = xt; + pSrc[2 * i + 3] = yt; + } // groups loop end + +#else /* #if defined (ARM_MATH_DSP) */ + + n2 = fftLen; + + // loop for stage + for (k = fftLen; k > 1; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i += n1; + } while (i < fftLen); + j++; + } while (j < n2); + twidCoefModifier <<= 1U; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +void arm_radix2_butterfly_inverse_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen) +{ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + float32_t xt, yt, cosVal, sinVal; + float32_t p0, p1, p2, p3; + float32_t a0, a1; + +#if defined (ARM_MATH_DSP) + + n2 = fftLen >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while (j < n2); // groups loop end + + twidCoefModifier <<= 1U; + } // stages loop end + + // loop for butterfly + for (i = 0; i < fftLen; i += 2) + { + a0 = pSrc[2 * i] + pSrc[2 * i + 2]; + xt = pSrc[2 * i] - pSrc[2 * i + 2]; + + a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; + yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; + + p0 = a0 * onebyfftLen; + p2 = xt * onebyfftLen; + p1 = a1 * onebyfftLen; + p3 = yt * onebyfftLen; + + pSrc[2 * i] = p0; + pSrc[2 * i + 1] = p1; + pSrc[2 * i + 2] = p2; + pSrc[2 * i + 3] = p3; + } // butterfly loop end + +#else /* #if defined (ARM_MATH_DSP) */ + + n2 = fftLen; + + // loop for stage + for (k = fftLen; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while ( j < n2 ); // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + + p0 = a0 * onebyfftLen; + p2 = xt * onebyfftLen; + p1 = a1 * onebyfftLen; + p3 = yt * onebyfftLen; + + pSrc[2 * i] = p0; + pSrc[2 * l] = p2; + + pSrc[2 * i + 1] = p1; + pSrc[2 * l + 1] = p3; + } // butterfly loop end + +#endif /* #if defined (ARM_MATH_DSP) */ + +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_f32.c new file mode 100644 index 0000000..417ad91 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_f32.c @@ -0,0 +1,197 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_f32.c + * Description: Radix-2 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the floating-point CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future. + @param[in,out] S points to an instance of the floating-point CFFT/CIFFT structure + @param[in] fftLen length of the FFT + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (float32_t *) twiddleCoef; + + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.000244140625; + break; + + case 2048U: + /* Initializations of structure parameters for 2048 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.00048828125; + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.0009765625f; + break; + + case 512U: + /* Initializations of structure parameters for 512 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 8U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 8U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.001953125; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + S->onebyfftLen = 0.00390625f; + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + S->onebyfftLen = 0.0078125; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + S->onebyfftLen = 0.015625f; + break; + + case 32U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + S->onebyfftLen = 0.03125; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + S->onebyfftLen = 0.0625f; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q15.c new file mode 100644 index 0000000..3d865d0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q15.c @@ -0,0 +1,182 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_q15.c + * Description: Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the Q15 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed + @param[in,out] S points to an instance of the Q15 CFFT/CIFFT structure. + @param[in] fftLen length of the FFT. + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q15_t *) twiddleCoef_4096_q15; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + + break; + + case 2048U: + /* Initializations of structure parameters for 2048 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + S->twidCoefModifier = 4U; + S->bitRevFactor = 4U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + + break; + + case 512U: + /* Initializations of structure parameters for 512 point FFT */ + S->twidCoefModifier = 8U; + S->bitRevFactor = 8U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + + break; + + case 32U: + /* Initializations of structure parameters for 32 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q31.c new file mode 100644 index 0000000..f4a20d6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_init_q31.c @@ -0,0 +1,179 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_q31.c + * Description: Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the Q31 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future. + @param[in,out] S points to an instance of the Q31 CFFT/CIFFT structure + @param[in] fftLen length of the FFT + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q31_t *) twiddleCoef_4096_q31; + + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) + { + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + break; + + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + break; + + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + break; + + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 8U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 8U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + break; + + case 32U: + /* Initializations of structure parameters for 32 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q15.c new file mode 100644 index 0000000..2a03b57 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q15.c @@ -0,0 +1,689 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_q15.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint16_t twidCoefModifier); + +void arm_bitreversal_q15( + q15_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the fixed-point CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future. + @param[in] S points to an instance of the fixed-point CFFT/CIFFT structure + @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @return none + */ + +void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + arm_radix2_butterfly_inverse_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + arm_radix2_butterfly_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); +} + +/** + @} end of ComplexFFT group + */ + +void arm_radix2_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint16_t twidCoefModifier) +{ +#if defined (ARM_MATH_DSP) + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + q15_t in; + q31_t T, S, R; + q31_t coeff, out1, out2; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = read_q15x2 (pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); +#else + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + i++; + l++; + + T = read_q15x2 (pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = read_q15x2 (pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); +#else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + + /* loop for stage */ + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); +#else + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + i += n1; + + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); +#else + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + } /* stages loop end */ + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __QADD16(T, S)); + + write_q15x2 (pSrc + (2 * l), R); + + i += n1; + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __QADD16(T, S)); + + write_q15x2 (pSrc + (2 * l), R); + + } /* groups loop end */ + + +#else /* #if defined (ARM_MATH_DSP) */ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + q15_t xt, yt, cosVal, sinVal; + + + // N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + cosVal = pCoef[(ia * 2)]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + + (pSrc[2 * i + 1] >> 1U) ) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + + /* loop for stage */ + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + } /* stages loop end */ + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2 * l] = xt; + + pSrc[2 * l + 1] = yt; + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +void arm_radix2_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef, + uint16_t twidCoefModifier) +{ +#if defined (ARM_MATH_DSP) + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + q15_t in; + q31_t T, S, R; + q31_t coeff, out1, out2; + + // N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (i = 0; i < n2; i++) + { + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = read_q15x2 (pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + i++; + l++; + + T = read_q15x2 (pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = read_q15x2 (pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + + /* loop for stage */ + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + i += n1; + + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __SHADD16(T, S)); + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + } /* stages loop end */ + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = read_q15x2 (pSrc + (2 * i)); + + S = read_q15x2 (pSrc + (2 * l)); + + R = __QSUB16(T, S); + + write_q15x2 (pSrc + (2 * i), __QADD16(T, S)); + + write_q15x2 (pSrc + (2 * l), R); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + +#else /* #if defined (ARM_MATH_DSP) */ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + q15_t xt, yt, cosVal, sinVal; + + // N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + cosVal = pCoef[(ia * 2)]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + + (pSrc[2 * i + 1] >> 1U) ) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + + /* loop for stage */ + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + /* loop for groups */ + for (j = 0; j < n2; j++) + { + cosVal = pCoef[(ia * 2)]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16)) ); + + pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16)) ); + + } /* butterfly loop end */ + + } /* groups loop end */ + + twidCoefModifier = twidCoefModifier << 1U; + } /* stages loop end */ + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[(ia * 2)]; + sinVal = pCoef[(ia * 2) + 1]; + + ia = ia + twidCoefModifier; + + /* loop for butterfly */ + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2 * l] = xt; + + pSrc[2 * l + 1] = yt; + + } /* groups loop end */ + + +#endif /* #if defined (ARM_MATH_DSP) */ + +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q31.c new file mode 100644 index 0000000..6c79a65 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix2_q31.c @@ -0,0 +1,337 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_q31.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint16_t twidCoefModifier); + +void arm_bitreversal_q31( + q31_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the fixed-point CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future. + @param[in] S points to an instance of the fixed-point CFFT/CIFFT structure + @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @return none + */ + +void arm_cfft_radix2_q31( + const arm_cfft_radix2_instance_q31 * S, + q31_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + else + { + arm_radix2_butterfly_q31(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + + arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); +} + +/** + @} end of ComplexFFT group + */ + +void arm_radix2_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint16_t twidCoefModifier) +{ + + unsigned i, j, k, l, m; + unsigned n1, n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + i = j; + m = fftLen / n1; + do + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + i += n1; + m--; + } while ( m > 0); // butterfly loop end + + } // groups loop end + + twidCoefModifier <<= 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + i += n1; + l = i + n2; + + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // butterfly loop end + +} + + +void arm_radix2_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint16_t twidCoefModifier) +{ + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + i += n1; + l = i + n2; + + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // butterfly loop end + +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_f32.c new file mode 100644 index 0000000..9629145 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_f32.c @@ -0,0 +1,1200 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_f32.c + * Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +extern void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +void arm_radix4_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix4_butterfly_inverse_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen); + + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the floating-point Radix-4 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future. + @param[in] S points to an instance of the floating-point Radix-4 CFFT/CIFFT structure + @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @return none + */ + +void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier, S->onebyfftLen); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + @} end of ComplexFFT group + */ + +/* ---------------------------------------------------------------------- + * Internal helper function used by the FFTs + * ---------------------------------------------------------------------- */ + +/** + brief Core function for the floating-point CFFT butterfly process. + param[in,out] pSrc points to the in-place buffer of floating-point data type + param[in] fftLen length of the FFT + param[in] pCoef points to the twiddle coefficient buffer + param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + return none + */ + +void arm_radix4_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier) +{ + float32_t co1, co2, co3, si1, si2, si3; + uint32_t ia1, ia2, ia3; + uint32_t i0, i1, i2, i3; + uint32_t n1, n2, j, k; + +#if defined (ARM_MATH_LOOPUNROLL) + + float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; + float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, + Ybminusd; + float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; + float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; + float32_t *ptr1; + float32_t p0,p1,p2,p3,p4,p5; + float32_t a0,a1,a2,a3,a4,a5,a6,a7; + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* xb - xd */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* yb - yd */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + /* (xa - xc) + (yb - yd) */ + Xb12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc - Xbminusd); + /* (xa + xc) - (xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) - (yb - yd) */ + Xd12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yd12C_out = (Xbminusd + Yaminusc); + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* index calculation for the coefficients */ + ia3 = ia2 + ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out += p0; + Yb12_out -= p1; + Xc12_out += p2; + Yc12_out -= p3; + Xd12_out += p4; + Yd12_out -= p5; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + /* Twiddle coefficients index modifier */ + ia1 += twidCoefModifier; + + /* Updating input index */ + i0++; + + } + while (--j); + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen >> 2U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[(ia1 * 2U)]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[(ia2 * 2U)]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[(ia3 * 2U)]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 += twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* (xb - xd) */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* (yb - yd) */ + Ybminusd = ybIn - ydIn; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xa - xc) + (yb - yd) */ + Xb12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yb12C_out = (Yaminusc - Xbminusd); + /* xa + xc -(xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) - (yb - yd) */ + Xd12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yd12C_out = (Xbminusd + Yaminusc); + + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out += p0; + Yb12_out -= p1; + Xc12_out += p2; + Yc12_out -= p3; + Xd12_out += p4; + Yd12_out -= p5; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + i0 += n1; + } while (i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + xaIn = ptr1[0]; + yaIn = ptr1[1]; + xbIn = ptr1[2]; + ybIn = ptr1[3]; + xcIn = ptr1[4]; + ycIn = ptr1[5]; + xdIn = ptr1[6]; + ydIn = ptr1[7]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + + /* ya + yc */ + Yaplusc = yaIn + ycIn; + + /* ya - yc */ + Yaminusc = yaIn - ycIn; + + /* xb + xd */ + Xbplusd = xbIn + xdIn; + + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xb-xd) */ + Xbminusd = xbIn - xdIn; + + /* (yb-yd) */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + a0 = (Xaplusc + Xbplusd); + /* ya' = ya + yb + yc + yd */ + a1 = (Yaplusc + Ybplusd); + /* xc' = (xa-xb+xc-xd) */ + a2 = (Xaplusc - Xbplusd); + /* yc' = (ya-yb+yc-yd) */ + a3 = (Yaplusc - Ybplusd); + /* xb' = (xa+yb-xc-yd) */ + a4 = (Xaminusc + Ybminusd); + /* yb' = (ya-xb-yc+xd) */ + a5 = (Yaminusc - Xbminusd); + /* xd' = (xa-yb-xc+yd)) */ + a6 = (Xaminusc - Ybminusd); + /* yd' = (ya+xb-yc-xd) */ + a7 = (Xbminusd + Yaminusc); + + ptr1[0] = a0; + ptr1[1] = a1; + ptr1[2] = a2; + ptr1[3] = a3; + ptr1[4] = a4; + ptr1[5] = a5; + ptr1[6] = a6; + ptr1[7] = a7; + + /* increment pointer by 8 */ + ptr1 += 8U; + } while (--j); + +#else + + float32_t t1, t2, r1, r2, s1, s2; + + /* Initializations for the fft calculation */ + n2 = fftLen; + n1 = n2; + for (k = fftLen; k > 1U; k >>= 2U) + { + /* Initializations for the fft calculation */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* FFT Calculation */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* xa + xc */ + r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)]; + + /* xa - xc */ + r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = r1 + t1; + + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = s1 + t2; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (r1 * co2) + (s1 * si2); + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2); + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (r1 * co1) + (s1 * si1); + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1); + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (r2 * co3) + (s2 * si3); + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3); + + i0 += n1; + } while ( i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + +} + +/** + brief Core function for the floating-point CIFFT butterfly process. + param[in,out] pSrc points to the in-place buffer of floating-point data type + param[in] fftLen length of the FFT + param[in] pCoef points to twiddle coefficient buffer + param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + param[in] onebyfftLen value of 1/fftLen + return none + */ + +void arm_radix4_butterfly_inverse_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen) +{ + float32_t co1, co2, co3, si1, si2, si3; + uint32_t ia1, ia2, ia3; + uint32_t i0, i1, i2, i3; + uint32_t n1, n2, j, k; + +#if defined (ARM_MATH_LOOPUNROLL) + + float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; + float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, + Ybminusd; + float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; + float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; + float32_t *ptr1; + float32_t p0,p1,p2,p3,p4,p5,p6,p7; + float32_t a0,a1,a2,a3,a4,a5,a6,a7; + + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* xb - xd */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* yb - yd */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + /* (xa - xc) - (yb - yd) */ + Xb12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc + Xbminusd); + /* (xa + xc) - (xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) + (yb - yd) */ + Xd12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yd12C_out = (Yaminusc - Xbminusd); + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* index calculation for the coefficients */ + ia3 = ia2 + ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out -= p0; + Yb12_out += p1; + Xc12_out -= p2; + Yc12_out += p3; + Xd12_out -= p4; + Yd12_out += p5; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen >> 2U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* (xb - xd) */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* (yb - yd) */ + Ybminusd = ybIn - ydIn; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xa - xc) - (yb - yd) */ + Xb12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc + Xbminusd); + /* xa + xc -(xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) + (yb - yd) */ + Xd12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yd12C_out = (Yaminusc - Xbminusd); + + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out -= p0; + Yb12_out += p1; + Xc12_out -= p2; + Yc12_out += p3; + Xd12_out -= p4; + Yd12_out += p5; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + i0 += n1; + } while (i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + /* Initializations of last stage */ + + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + xaIn = ptr1[0]; + yaIn = ptr1[1]; + xbIn = ptr1[2]; + ybIn = ptr1[3]; + xcIn = ptr1[4]; + ycIn = ptr1[5]; + xdIn = ptr1[6]; + ydIn = ptr1[7]; + + /* Butterfly implementation */ + /* xa + xc */ + Xaplusc = xaIn + xcIn; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + + /* ya + yc */ + Yaplusc = yaIn + ycIn; + + /* ya - yc */ + Yaminusc = yaIn - ycIn; + + /* xb + xd */ + Xbplusd = xbIn + xdIn; + + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xb-xd) */ + Xbminusd = xbIn - xdIn; + + /* (yb-yd) */ + Ybminusd = ybIn - ydIn; + + /* xa' = (xa+xb+xc+xd) * onebyfftLen */ + a0 = (Xaplusc + Xbplusd); + /* ya' = (ya+yb+yc+yd) * onebyfftLen */ + a1 = (Yaplusc + Ybplusd); + /* xc' = (xa-xb+xc-xd) * onebyfftLen */ + a2 = (Xaplusc - Xbplusd); + /* yc' = (ya-yb+yc-yd) * onebyfftLen */ + a3 = (Yaplusc - Ybplusd); + /* xb' = (xa-yb-xc+yd) * onebyfftLen */ + a4 = (Xaminusc - Ybminusd); + /* yb' = (ya+xb-yc-xd) * onebyfftLen */ + a5 = (Yaminusc + Xbminusd); + /* xd' = (xa-yb-xc+yd) * onebyfftLen */ + a6 = (Xaminusc + Ybminusd); + /* yd' = (ya-xb-yc+xd) * onebyfftLen */ + a7 = (Yaminusc - Xbminusd); + + p0 = a0 * onebyfftLen; + p1 = a1 * onebyfftLen; + p2 = a2 * onebyfftLen; + p3 = a3 * onebyfftLen; + p4 = a4 * onebyfftLen; + p5 = a5 * onebyfftLen; + p6 = a6 * onebyfftLen; + p7 = a7 * onebyfftLen; + + /* xa' = (xa+xb+xc+xd) * onebyfftLen */ + ptr1[0] = p0; + /* ya' = (ya+yb+yc+yd) * onebyfftLen */ + ptr1[1] = p1; + /* xc' = (xa-xb+xc-xd) * onebyfftLen */ + ptr1[2] = p2; + /* yc' = (ya-yb+yc-yd) * onebyfftLen */ + ptr1[3] = p3; + /* xb' = (xa-yb-xc+yd) * onebyfftLen */ + ptr1[4] = p4; + /* yb' = (ya+xb-yc-xd) * onebyfftLen */ + ptr1[5] = p5; + /* xd' = (xa-yb-xc+yd) * onebyfftLen */ + ptr1[6] = p6; + /* yd' = (ya-xb-yc+xd) * onebyfftLen */ + ptr1[7] = p7; + + /* increment source pointer by 8 for next calculations */ + ptr1 = ptr1 + 8U; + + } while (--j); + +#else + + float32_t t1, t2, r1, r2, s1, s2; + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* Calculation of first stage */ + for (k = fftLen; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* xa + xc */ + r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)]; + + /* xa - xc */ + r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = r1 + t1; + + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = s1 + t2; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (r1 * co2) - (s1 * si2); + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (s1 * co2) + (r1 * si2); + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (r1 * co1) - (s1 * si1); + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (s1 * co1) + (r1 * si1); + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (r2 * co3) - (s2 * si3); + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (s2 * co3) + (r2 * si3); + + i0 += n1; + } while ( i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + /* Initializations of last stage */ + n1 = n2; + n2 >>= 2U; + + /* Calculations of last stage */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xc + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) * onebyfftLen; + + /* (xa + xb) - (xc + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) * onebyfftLen; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb-yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb-xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = r1 * onebyfftLen; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = s1 * onebyfftLen; + + /* (xa - xc) - (yb-yd) */ + r1 = r2 - t1; + + /* (xa - xc) + (yb-yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb-xd) */ + s1 = s2 + t2; + + /* (ya - yc) - (xb-xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = r1 * onebyfftLen; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = s1 * onebyfftLen; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = r2 * onebyfftLen; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = s2 * onebyfftLen; + } + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ +} + + diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_f32.c new file mode 100644 index 0000000..930c2c1 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_f32.c @@ -0,0 +1,156 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_f32.c + * Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Initialization function for the floating-point CFFT/CIFFT. + @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed in the future. + @param[in,out] S points to an instance of the floating-point CFFT/CIFFT structure + @param[in] fftLen length of the FFT + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. + */ + +arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (float32_t *) twiddleCoef; + + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.000244140625; + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.0009765625f; + break; + + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + S->onebyfftLen = 0.00390625f; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + S->onebyfftLen = 0.015625f; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + S->onebyfftLen = 0.0625f; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q15.c new file mode 100644 index 0000000..0090688 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q15.c @@ -0,0 +1,145 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_q15.c + * Description: Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + + +/** + @addtogroup ComplexFFT + @{ + */ + + +/** + @brief Initialization function for the Q15 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future. + @param[in,out] S points to an instance of the Q15 CFFT/CIFFT structure + @param[in] fftLen length of the FFT + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. + */ + +arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + /* Initialise the FFT length */ + S->fftLen = fftLen; + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q15_t *) twiddleCoef_4096_q15; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + S->twidCoefModifier = 4U; + S->bitRevFactor = 4U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q31.c new file mode 100644 index 0000000..17d16b7 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_init_q31.c @@ -0,0 +1,141 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_q31.c + * Description: Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + + @brief Initialization function for the Q31 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future. + @param[in,out] S points to an instance of the Q31 CFFT/CIFFT structure. + @param[in] fftLen length of the FFT. + @param[in] ifftFlag flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Details + The parameter ifftFlag controls whether a forward or inverse transform is computed. + Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + /* Initialise the FFT length */ + S->fftLen = fftLen; + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q31_t *) twiddleCoef_4096_q31; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) + { + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + break; + + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + @} end of ComplexFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q15.c new file mode 100644 index 0000000..f07c5ec --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q15.c @@ -0,0 +1,1809 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_q15.c + * Description: This file has function definition of Radix-4 FFT & IFFT function and + * In-place bit reversal using bit reversal table + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_bitreversal_q15( + q15_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + + +/** + @brief Processing function for the Q15 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future. + @param[in] S points to an instance of the Q15 CFFT/CIFFT structure. + @param[in,out] pSrc points to the complex data buffer. Processing occurs in-place. + @return none + + @par Input and output formats: + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different FFT sizes. + The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: + @par + \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT" + \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT" + */ + +void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + @} end of ComplexFFT group + */ + +/* + * Radix-4 FFT algorithm used is : + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 FFT: + * Wn = co1 + j * (- si1) + * W2n = co2 + j * (- si2) + * W3n = co3 + j * (- si3) + + * The real and imaginary output values for the radix-4 butterfly are + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) + * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) + * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) + * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) + * + */ + +/** + @brief Core function for the Q15 CFFT butterfly process. + @param[in,out] pSrc16 points to the in-place buffer of Q15 data type + @param[in] fftLen length of the FFT + @param[in] pCoef16 points to twiddle coefficient buffer + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */ + T = __SHADD16(T, 0); /* it turns out doing this twice is 2 cycles, the alternative takes 3 cycles */ +/* + in = ((int16_t) (T & 0xFFFF)) >> 2; // alternative code that takes 3 cycles + T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); +*/ + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&pSi0, __SHADD16(R, T)); + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUAD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); +#else + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUAD(C2, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QASX(S, T); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUAD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUSDX(C1, S); +#else + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUSDX(S, C1) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUAD(C1, S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF)); + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUAD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUSDX(C3, R); +#else + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUSDX(R, C3) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUAD(C3, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + write_q15x2 (pSi0, out1); + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUAD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); +#else + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUAD(C2, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUAD(C1, S) >> 16U; + out2 = __SMUSDX(C1, S); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSDX(S, C1) >> 16U; + out2 = __SMUAD(C1, S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUAD(C3, R) >> 16U; + out2 = __SMUSDX(C3, R); +#else + out1 = __SMUSDX(R, C3) >> 16U; + out2 = __SMUAD(C3, R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xb (real), yb(imag) input */ + xbyb = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xc (real), yc(imag) input */ + xcyc = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xd (real), yd(imag) input */ + xdyd = read_q15x2_ia ((q15_t **) &ptr1); + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&ptr1, __SHADD16(R, T)); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + write_q15x2_ia (&ptr1, __SHSUB16(R, T)); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); +#else + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else /* #if defined (ARM_MATH_DSP) */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + j = n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc) */ + R0 = __SSAT(T0 + S0, 16U); + /* R1 = (xa + xc) */ + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc) */ + S0 = __SSAT(T0 - S0, 16); + /* S1 = (xa - xc) */ + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1] >> 2U; + + /* T0 = (yb + yd) */ + T0 = __SSAT(T0 + U0, 16U); + /* T1 = (xb + xd) */ + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* ya' = ya + yb + yc + yd */ + /* xa' = xa + xb + xc + xd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd) */ + /* R1 = (xa + xc) - (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1]; + + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2; + T1 = pSrc16[(i1 * 2U) + 1] >> 2; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd */ + U0 = pSrc16[i3 * 2U] >> 2; + U1 = pSrc16[(i3 * 2U) + 1] >> 2; + /* T0 = yb-yd */ + T0 = __SSAT(T0 - U0, 16); + /* T1 = xb-xd */ + T1 = __SSAT(T1 - U1, 16); + + /* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */ + R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */ + S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16U); + S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16U); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16); + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16); + + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * (ic * 2U)]; + Si2 = pCoef16[(2U * (ic * 2U)) + 1U]; + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16); + R1 = __SSAT(T1 + S1, 16); + + /* S0 = (ya - yc), S1 =(xa - xc) */ + S0 = __SSAT(T0 - S0, 16); + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16); + T1 = __SSAT(T1 + U1, 16); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + out2 = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + pSrc16[i0 * 2U] = out1; + pSrc16[(2U * i0) + 1U] = out2; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd */ + T0 = __SSAT(T0 - U0, 16); + T1 = __SSAT(T1 - U1, 16); + + /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */ + R0 = (S0 >> 1U) - (T1 >> 1U); + R1 = (S1 >> 1U) + (T0 >> 1U); + + /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */ + S0 = (S0 >> 1U) + (T1 >> 1U); + S1 = (S1 >> 1U) - (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16U); + + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16U); + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* start of last stage process */ + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd)) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + } + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +/** + @brief Core function for the Q15 CIFFT butterfly process. + @param[in,out] pSrc16 points to the in-place buffer of Q15 data type + @param[in] fftLen length of the FFT + @param[in] pCoef16 points to twiddle coefficient buffer + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + @return none + */ + +/* + * Radix-4 IFFT algorithm used is : + * + * CIFFT uses same twiddle coefficients as CFFT function + * x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] + * + * + * IFFT is implemented with following changes in equations from FFT + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 IFFT: + * Wn = co1 + j * (si1) + * W2n = co2 + j * (si2) + * W3n = co3 + j * (si3) + + * The real and imaginary output values for the radix-4 butterfly are + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) + * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) + * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) + * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) + * + */ + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + const q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&pSi0, __SHADD16(R, T)); + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUSD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); +#else + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(C2, R) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUSD(__QSUB16(0, C2), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = read_q15x2 (pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = read_q15x2 (pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */ + S = __QASX(S, T); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUSD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUADX(C1, S); +#else + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUADX(C1, S) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUSD(__QSUB16(0, C1), S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF)); + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUSD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUADX(C3, R); +#else + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUADX(C3, R) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUSD(__QSUB16(0, C3), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic)); + C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic)); + C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = read_q15x2 (pSi0); + + /* Read yc (real), xc(imag) input */ + S = read_q15x2 (pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + write_q15x2 (pSi0, out1); + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUSD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); +#else + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUSD(__QSUB16(0, C2), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = read_q15x2 (pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = read_q15x2 (pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSD(C1, S) >> 16U; + out2 = __SMUADX(C1, S); +#else + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUADX(S, C1) >> 16U; + out2 = __SMUSD(__QSUB16(0, C1), S); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + out1 = __SMUSD(C3, R) >> 16U; + out2 = __SMUADX(C3, R); +#else + out1 = __SMUADX(C3, R) >> 16U; + out2 = __SMUSD(__QSUB16(0, C3), R); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF)); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xb (real), yb(imag) input */ + xbyb = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xc (real), yc(imag) input */ + xcyc = read_q15x2_ia ((q15_t **) &ptr1); + + /* Read xd (real), yd(imag) input */ + xdyd = read_q15x2_ia ((q15_t **) &ptr1); + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + write_q15x2_ia (&ptr1, __SHADD16(R, T)); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + write_q15x2_ia (&ptr1, __SHSUB16(R, T)); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); +#else + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + write_q15x2_ia (&ptr1, __SHSAX(S, U)); + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + write_q15x2_ia (&ptr1, __SHASX(S, U)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else /* arm_radix4_butterfly_inverse_q15 */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + + j = n2; + + /* Input is in 1.15(q15) format */ + + /* Start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + /* Read yd (real), xd(imag) input */ + /* input is down scale by 4 to avoid overflow */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1U]; + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd) */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16); + /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* End of first stage process */ + + /* data is in 4.11(q11) format */ + + + /* Start of Middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[2U * ic * 2U + 1U]; + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + pSrc16[(i0 * 2U) + 1U] = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16); + /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (S0 >> 1U) + (T1 >> 1U); + R1 = (S1 >> 1U) - (T0 >> 1U); + + /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (S0 >> 1U) - (T1 >> 1U); + S1 = (S1 >> 1U) + (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* End of Middle stages process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* start of last stage process */ + + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd) */ + /* yb' = (ya+xb-yc-xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd) */ + /* yd' = (ya-xb-yc+xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + } + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q31.c new file mode 100644 index 0000000..e9ba1d4 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix4_q31.c @@ -0,0 +1,827 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_q31.c + * Description: This file has function definition of Radix-4 FFT & IFFT function and + * In-place bit reversal using bit reversal table + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix4_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier); + +void arm_radix4_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier); + +void arm_bitreversal_q31( + q31_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup ComplexFFT + @{ + */ + +/** + @brief Processing function for the Q31 CFFT/CIFFT. + @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future. + @param[in] S points to an instance of the Q31 CFFT/CIFFT structure + @param[in,out] pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place + @return none + + @par Input and output formats: + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different FFT sizes. + The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: + @par + \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT" + \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT" + */ + +void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + @} end of ComplexFFT group + */ + +/* + * Radix-4 FFT algorithm used is : + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 FFT: + * Wn = co1 + j * (- si1) + * W2n = co2 + j * (- si2) + * W3n = co3 + j * (- si3) + * + * Butterfly implementation: + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) + * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) + * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) + * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) + * + */ + +/** + @brief Core function for the Q31 CFFT butterfly process. + @param[in,out] pSrc points to the in-place buffer of Q31 data type. + @param[in] fftLen length of the FFT. + @param[in] pCoef points to twiddle coefficient buffer. + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + @return none + */ + +void arm_radix4_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier) +{ + uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + + /* start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* input is in 1.31(q31) format and provide 4 guard bits for the input */ + + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSrc[(2U * i0)] >> 4U) + (pSrc[(2U * i2)] >> 4U); + /* xa - xc */ + r2 = (pSrc[(2U * i0)] >> 4U) - (pSrc[(2U * i2)] >> 4U); + + /* xb + xd */ + t1 = (pSrc[(2U * i1)] >> 4U) + (pSrc[(2U * i3)] >> 4U); + + /* ya + yc */ + s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U); + /* ya - yc */ + s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U); + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U); + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U); + /* xb - xd */ + t2 = (pSrc[(2U * i1)] >> 4U) - (pSrc[(2U * i3)] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[(ia2 * 2U)]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + co1 = pCoef[(ia1 * 2U)]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[(ia3 * 2U)]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* end of first stage process */ + + /* data is in 5.27(q27) format */ + + + /* start of Middle stages process */ + + + /* each stage in middle stages provides two down scaling of the input */ + + twidCoefModifier <<= 2U; + + + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[(ia1 * 2U)]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[(ia2 * 2U)]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[(ia3 * 2U)]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1U; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + } + } + twidCoefModifier <<= 2U; + } + + /* End of Middle stages process */ + + /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ + /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ + /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ + /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ + + + /* start of Last stage process */ + /* Initializations for the last stage */ + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + /* Read xa (real), ya(imag) input */ + xa = *ptr1++; + ya = *ptr1++; + + /* Read xb (real), yb(imag) input */ + xb = *ptr1++; + yb = *ptr1++; + + /* Read xc (real), yc(imag) input */ + xc = *ptr1++; + yc = *ptr1++; + + /* Read xc (real), yc(imag) input */ + xd = *ptr1++; + yd = *ptr1++; + + /* xa' = xa + xb + xc + xd */ + xa_out = xa + xb + xc + xd; + + /* ya' = ya + yb + yc + yd */ + ya_out = ya + yb + yc + yd; + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + /* writing xa' and ya' */ + *ptr1++ = xa_out; + *ptr1++ = ya_out; + + xc_out = (xa - xb + xc - xd); + yc_out = (ya - yb + yc - yd); + + /* writing xc' and yc' */ + *ptr1++ = xc_out; + *ptr1++ = yc_out; + + xb_out = (xa + yb - xc - yd); + yb_out = (ya - xb - yc + xd); + + /* writing xb' and yb' */ + *ptr1++ = xb_out; + *ptr1++ = yb_out; + + xd_out = (xa - yb - xc + yd); + yd_out = (ya + xb - yc - xd); + + /* writing xd' and yd' */ + *ptr1++ = xd_out; + *ptr1++ = yd_out; + + + } while (--j); + + /* output is in 11.21(q21) format for the 1024 point */ + /* output is in 9.23(q23) format for the 256 point */ + /* output is in 7.25(q25) format for the 64 point */ + /* output is in 5.27(q27) format for the 16 point */ + + /* End of last stage process */ + +} + + +/** + @brief Core function for the Q31 CIFFT butterfly process. + @param[in,out] pSrc points to the in-place buffer of Q31 data type. + @param[in] fftLen length of the FFT. + @param[in] pCoef points to twiddle coefficient buffer. + @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + @return none + */ + +/* + * Radix-4 IFFT algorithm used is : + * + * CIFFT uses same twiddle coefficients as CFFT Function + * x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] + * + * + * IFFT is implemented with following changes in equations from FFT + * + * Input real and imaginary data: + * x(n) = xa + j * ya + * x(n+N/4 ) = xb + j * yb + * x(n+N/2 ) = xc + j * yc + * x(n+3N 4) = xd + j * yd + * + * + * Output real and imaginary data: + * x(4r) = xa'+ j * ya' + * x(4r+1) = xb'+ j * yb' + * x(4r+2) = xc'+ j * yc' + * x(4r+3) = xd'+ j * yd' + * + * + * Twiddle factors for radix-4 IFFT: + * Wn = co1 + j * (si1) + * W2n = co2 + j * (si2) + * W3n = co3 + j * (si3) + + * The real and imaginary output values for the radix-4 butterfly are + * xa' = xa + xb + xc + xd + * ya' = ya + yb + yc + yd + * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) + * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) + * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) + * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) + * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) + * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) + * + */ + +void arm_radix4_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef, + uint32_t twidCoefModifier) +{ + uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + + /* input is be 1.31(q31) format for all FFT sizes */ + /* Total process is divided into three stages */ + /* process first stage, middle stages, & last stage */ + + /* Start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + do + { + /* input is in 1.31(q31) format and provide 4 guard bits for the input */ + + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSrc[2U * i0] >> 4U) + (pSrc[2U * i2] >> 4U); + /* xa - xc */ + r2 = (pSrc[2U * i0] >> 4U) - (pSrc[2U * i2] >> 4U); + + /* xb + xd */ + t1 = (pSrc[2U * i1] >> 4U) + (pSrc[2U * i3] >> 4U); + + /* ya + yc */ + s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U); + /* ya - yc */ + s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U); + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U); + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U); + /* xb - xd */ + t2 = (pSrc[2U * i1] >> 4U) - (pSrc[2U * i3] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) - + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[2U * i1 + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) + + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* data is in 5.27(q27) format */ + /* each stage provides two down scaling of the input */ + + + /* Start of Middle stages process */ + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + for (j = 0; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[(ia1 * 2U)]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[(ia2 * 2U)]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[(ia3 * 2U)]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32U)) - + ((int32_t) (((q63_t) s1 * si2) >> 32U))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32U)) + + ((int32_t) (((q63_t) r1 * si2) >> 32U))) >> 1U; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[(2U * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + } + } + twidCoefModifier <<= 2U; + } + + /* End of Middle stages process */ + + /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ + /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ + /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ + /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ + + + /* Start of last stage process */ + + + /* Initializations for the last stage */ + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + /* Read xa (real), ya(imag) input */ + xa = *ptr1++; + ya = *ptr1++; + + /* Read xb (real), yb(imag) input */ + xb = *ptr1++; + yb = *ptr1++; + + /* Read xc (real), yc(imag) input */ + xc = *ptr1++; + yc = *ptr1++; + + /* Read xc (real), yc(imag) input */ + xd = *ptr1++; + yd = *ptr1++; + + /* xa' = xa + xb + xc + xd */ + xa_out = xa + xb + xc + xd; + + /* ya' = ya + yb + yc + yd */ + ya_out = ya + yb + yc + yd; + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + /* writing xa' and ya' */ + *ptr1++ = xa_out; + *ptr1++ = ya_out; + + xc_out = (xa - xb + xc - xd); + yc_out = (ya - yb + yc - yd); + + /* writing xc' and yc' */ + *ptr1++ = xc_out; + *ptr1++ = yc_out; + + xb_out = (xa - yb - xc + yd); + yb_out = (ya + xb - yc - xd); + + /* writing xb' and yb' */ + *ptr1++ = xb_out; + *ptr1++ = yb_out; + + xd_out = (xa + yb - xc - yd); + yd_out = (ya - xb - yc + xd); + + /* writing xd' and yd' */ + *ptr1++ = xd_out; + *ptr1++ = yd_out; + + } while (--j); + + /* output is in 11.21(q21) format for the 1024 point */ + /* output is in 9.23(q23) format for the 256 point */ + /* output is in 7.25(q25) format for the 64 point */ + /* output is in 5.27(q27) format for the 16 point */ + + /* End of last stage process */ +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix8_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix8_f32.c new file mode 100644 index 0000000..50048f6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_cfft_radix8_f32.c @@ -0,0 +1,285 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix8_f32.c + * Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +/* ---------------------------------------------------------------------- + * Internal helper function used by the FFTs + * -------------------------------------------------------------------- */ + +/** + brief Core function for the floating-point CFFT butterfly process. + param[in,out] pSrc points to the in-place buffer of floating-point data type. + param[in] fftLen length of the FFT. + param[in] pCoef points to the twiddle coefficient buffer. + param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + return none +*/ + +void arm_radix8_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier) +{ + uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7; + uint32_t i1, i2, i3, i4, i5, i6, i7, i8; + uint32_t id; + uint32_t n1, n2, j; + + float32_t r1, r2, r3, r4, r5, r6, r7, r8; + float32_t t1, t2; + float32_t s1, s2, s3, s4, s5, s6, s7, s8; + float32_t p1, p2, p3, p4; + float32_t co2, co3, co4, co5, co6, co7, co8; + float32_t si2, si3, si4, si5, si6, si7, si8; + const float32_t C81 = 0.70710678118f; + + n2 = fftLen; + + do + { + n1 = n2; + n2 = n2 >> 3; + i1 = 0; + + do + { + i2 = i1 + n2; + i3 = i2 + n2; + i4 = i3 + n2; + i5 = i4 + n2; + i6 = i5 + n2; + i7 = i6 + n2; + i8 = i7 + n2; + r1 = pSrc[2 * i1] + pSrc[2 * i5]; + r5 = pSrc[2 * i1] - pSrc[2 * i5]; + r2 = pSrc[2 * i2] + pSrc[2 * i6]; + r6 = pSrc[2 * i2] - pSrc[2 * i6]; + r3 = pSrc[2 * i3] + pSrc[2 * i7]; + r7 = pSrc[2 * i3] - pSrc[2 * i7]; + r4 = pSrc[2 * i4] + pSrc[2 * i8]; + r8 = pSrc[2 * i4] - pSrc[2 * i8]; + t1 = r1 - r3; + r1 = r1 + r3; + r3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1] = r1 + r2; + pSrc[2 * i5] = r1 - r2; + r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; + s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; + r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; + s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; + s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; + s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; + r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; + s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; + t2 = r1 - s3; + r1 = r1 + s3; + s3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1 + 1] = r1 + r2; + pSrc[2 * i5 + 1] = r1 - r2; + pSrc[2 * i3] = t1 + s3; + pSrc[2 * i7] = t1 - s3; + pSrc[2 * i3 + 1] = t2 - r3; + pSrc[2 * i7 + 1] = t2 + r3; + r1 = (r6 - r8) * C81; + r6 = (r6 + r8) * C81; + r2 = (s6 - s8) * C81; + s6 = (s6 + s8) * C81; + t1 = r5 - r1; + r5 = r5 + r1; + r8 = r7 - r6; + r7 = r7 + r6; + t2 = s5 - r2; + s5 = s5 + r2; + s8 = s7 - s6; + s7 = s7 + s6; + pSrc[2 * i2] = r5 + s7; + pSrc[2 * i8] = r5 - s7; + pSrc[2 * i6] = t1 + s8; + pSrc[2 * i4] = t1 - s8; + pSrc[2 * i2 + 1] = s5 - r7; + pSrc[2 * i8 + 1] = s5 + r7; + pSrc[2 * i6 + 1] = t2 - r8; + pSrc[2 * i4 + 1] = t2 + r8; + + i1 += n1; + } while (i1 < fftLen); + + if (n2 < 8) + break; + + ia1 = 0; + j = 1; + + do + { + /* index calculation for the coefficients */ + id = ia1 + twidCoefModifier; + ia1 = id; + ia2 = ia1 + id; + ia3 = ia2 + id; + ia4 = ia3 + id; + ia5 = ia4 + id; + ia6 = ia5 + id; + ia7 = ia6 + id; + + co2 = pCoef[2 * ia1]; + co3 = pCoef[2 * ia2]; + co4 = pCoef[2 * ia3]; + co5 = pCoef[2 * ia4]; + co6 = pCoef[2 * ia5]; + co7 = pCoef[2 * ia6]; + co8 = pCoef[2 * ia7]; + si2 = pCoef[2 * ia1 + 1]; + si3 = pCoef[2 * ia2 + 1]; + si4 = pCoef[2 * ia3 + 1]; + si5 = pCoef[2 * ia4 + 1]; + si6 = pCoef[2 * ia5 + 1]; + si7 = pCoef[2 * ia6 + 1]; + si8 = pCoef[2 * ia7 + 1]; + + i1 = j; + + do + { + /* index calculation for the input */ + i2 = i1 + n2; + i3 = i2 + n2; + i4 = i3 + n2; + i5 = i4 + n2; + i6 = i5 + n2; + i7 = i6 + n2; + i8 = i7 + n2; + r1 = pSrc[2 * i1] + pSrc[2 * i5]; + r5 = pSrc[2 * i1] - pSrc[2 * i5]; + r2 = pSrc[2 * i2] + pSrc[2 * i6]; + r6 = pSrc[2 * i2] - pSrc[2 * i6]; + r3 = pSrc[2 * i3] + pSrc[2 * i7]; + r7 = pSrc[2 * i3] - pSrc[2 * i7]; + r4 = pSrc[2 * i4] + pSrc[2 * i8]; + r8 = pSrc[2 * i4] - pSrc[2 * i8]; + t1 = r1 - r3; + r1 = r1 + r3; + r3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1] = r1 + r2; + r2 = r1 - r2; + s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; + s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; + s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; + s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; + s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; + s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; + s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; + s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; + t2 = s1 - s3; + s1 = s1 + s3; + s3 = s2 - s4; + s2 = s2 + s4; + r1 = t1 + s3; + t1 = t1 - s3; + pSrc[2 * i1 + 1] = s1 + s2; + s2 = s1 - s2; + s1 = t2 - r3; + t2 = t2 + r3; + p1 = co5 * r2; + p2 = si5 * s2; + p3 = co5 * s2; + p4 = si5 * r2; + pSrc[2 * i5] = p1 + p2; + pSrc[2 * i5 + 1] = p3 - p4; + p1 = co3 * r1; + p2 = si3 * s1; + p3 = co3 * s1; + p4 = si3 * r1; + pSrc[2 * i3] = p1 + p2; + pSrc[2 * i3 + 1] = p3 - p4; + p1 = co7 * t1; + p2 = si7 * t2; + p3 = co7 * t2; + p4 = si7 * t1; + pSrc[2 * i7] = p1 + p2; + pSrc[2 * i7 + 1] = p3 - p4; + r1 = (r6 - r8) * C81; + r6 = (r6 + r8) * C81; + s1 = (s6 - s8) * C81; + s6 = (s6 + s8) * C81; + t1 = r5 - r1; + r5 = r5 + r1; + r8 = r7 - r6; + r7 = r7 + r6; + t2 = s5 - s1; + s5 = s5 + s1; + s8 = s7 - s6; + s7 = s7 + s6; + r1 = r5 + s7; + r5 = r5 - s7; + r6 = t1 + s8; + t1 = t1 - s8; + s1 = s5 - r7; + s5 = s5 + r7; + s6 = t2 - r8; + t2 = t2 + r8; + p1 = co2 * r1; + p2 = si2 * s1; + p3 = co2 * s1; + p4 = si2 * r1; + pSrc[2 * i2] = p1 + p2; + pSrc[2 * i2 + 1] = p3 - p4; + p1 = co8 * r5; + p2 = si8 * s5; + p3 = co8 * s5; + p4 = si8 * r5; + pSrc[2 * i8] = p1 + p2; + pSrc[2 * i8 + 1] = p3 - p4; + p1 = co6 * r6; + p2 = si6 * s6; + p3 = co6 * s6; + p4 = si6 * r6; + pSrc[2 * i6] = p1 + p2; + pSrc[2 * i6 + 1] = p3 - p4; + p1 = co4 * t1; + p2 = si4 * t2; + p3 = co4 * t2; + p4 = si4 * t1; + pSrc[2 * i4] = p1 + p2; + pSrc[2 * i4 + 1] = p3 - p4; + + i1 += n1; + } while (i1 < fftLen); + + j++; + } while (j < n2); + + twidCoefModifier <<= 3; + } while (n2 > 7); +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_f32.c new file mode 100644 index 0000000..e92c595 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_f32.c @@ -0,0 +1,448 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_f32.c + * Description: Processing function of DCT4 & IDCT4 F32 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @ingroup groupTransforms + */ + +/** + @defgroup DCT4_IDCT4 DCT Type IV Functions + + Representation of signals by minimum number of values is important for storage and transmission. + The possibility of large discontinuity between the beginning and end of a period of a signal + in DFT can be avoided by extending the signal so that it is even-symmetric. + Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the + spectrum and is very widely used in signal and image coding applications. + The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions. + DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular. + + DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal. + Reordering of the input data makes the computation of DCT just a problem of + computing the DFT of a real signal with a few additional operations. + This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations. + + DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used. + DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing. + DCT2 implementation can be described in the following steps: + - Re-ordering input + - Calculating Real FFT + - Multiplication of weights and Real FFT output and getting real part from the product. + + This process is explained by the block diagram below: + \image html DCT4.gif "Discrete Cosine Transform - type-IV" + + @par Algorithm + The N-point type-IV DCT is defined as a real, linear transformation by the formula: + \image html DCT4Equation.gif + where k = 0, 1, 2, ..., N-1 + @par + Its inverse is defined as follows: + \image html IDCT4Equation.gif + where n = 0, 1, 2, ..., N-1 + @par + The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N). + The symmetry of the transform matrix indicates that the fast algorithms for the forward + and inverse transform computation are identical. + Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both. + + @par Lengths supported by the transform: + As DCT4 internally uses Real FFT, it supports all the lengths 128, 512, 2048 and 8192. + The library provides separate functions for Q15, Q31, and floating-point data types. + + @par Instance Structure + The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure. + A separate instance structure must be defined for each transform. + There are separate instance structure declarations for each of the 3 supported data types. + + @par Initialization Functions + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Initializes Real FFT as its process function is used internally in DCT4, by calling \ref arm_rfft_init_f32(). + @par + Use of the initialization function is optional. + However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + To place an instance structure into a const data section, the instance structure must be manually initialized. + Manually initialize the instance structure as follows: + 
+      arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+      arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+      arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+
+ where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4; + \c normalize is normalizing factor used and is equal to sqrt(2/N); + \c pTwiddle points to the twiddle factor table; + \c pCosFactor points to the cosFactor table; + \c pRfft points to the real FFT instance; + \c pCfft points to the complex FFT instance; + The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32() + and arm_rfft_f32() respectively for details regarding static initialization. + + @par Fixed-Point Behavior + Care must be taken when using the fixed-point versions of the DCT4 transform functions. + In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + Refer to the function specific documentation below for usage guidelines. + */ + + /** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Processing function for the floating-point DCT4/IDCT4. + @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure + @param[in] pState points to state buffer + @param[in,out] pInlineBuffer points to the in-place input and output buffer + @return none + */ + +void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer) +{ + const float32_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + const float32_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + float32_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + float32_t in; /* Temporary variable */ + uint32_t i; /* Loop counter */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N); + arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_f32 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = (S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ * (float32_t) 0.5; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = (S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Initializing the loop counter to N/2 */ + i = S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_f32 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ * (float32_t) 0.5; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* Initializing the loop counter */ + i = (S->N - 1U); + + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing loop counter */ + i = S->N; + + /* pbuff initialized to the pInlineBuffer (now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = in * S->normalize; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_f32.c new file mode 100644 index 0000000..42b9df0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_f32.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_f32.c + * Description: Initialization function of DCT-4 & IDCT4 F32 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + + /** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Initialization function for the floating-point DCT4/IDCT4. + @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure + @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure + @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure + @param[in] N length of the DCT4 + @param[in] Nby2 half of the length of the DCT4 + @param[in] normalize normalizing factor. + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length + + @par Normalizing factor + The normalizing factor is sqrt(2/N), which depends on the size of transform N. + Floating-point normalizing factors are mentioned in the table below for different DCT sizes: + + \image html dct4NormalizingF32Table.gif + */ + +arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize) +{ + /* Initialize the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192) + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = Weights_8192; + S->pCosFactor = cos_factors_8192; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048) + case 2048U: + S->pTwiddle = Weights_2048; + S->pCosFactor = cos_factors_2048; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512) + case 512U: + S->pTwiddle = Weights_512; + S->pCosFactor = cos_factors_512; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + case 128U: + S->pTwiddle = Weights_128; + S->pCosFactor = cos_factors_128; + break; + #endif + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT Function */ + arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q15.c new file mode 100644 index 0000000..dc24ef3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q15.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_q15.c + * Description: Initialization function of DCT-4 & IDCT4 Q15 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + + /** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Initialization function for the Q15 DCT4/IDCT4. + @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure + @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure + @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure + @param[in] N length of the DCT4 + @param[in] Nby2 half of the length of the DCT4 + @param[in] normalize normalizing factor + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length + + @par Normalizing factor + The normalizing factor is sqrt(2/N), which depends on the size of transform N. + Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes: + + \image html dct4NormalizingQ15Table.gif + */ + +arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = WeightsQ15_8192; + S->pCosFactor = cos_factorsQ15_8192; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + case 2048U: + S->pTwiddle = WeightsQ15_2048; + S->pCosFactor = cos_factorsQ15_2048; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + case 512U: + S->pTwiddle = WeightsQ15_512; + S->pCosFactor = cos_factorsQ15_512; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + case 128U: + S->pTwiddle = WeightsQ15_128; + S->pCosFactor = cos_factorsQ15_128; + break; + #endif + + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT */ + arm_rfft_init_q15(S->pRfft, S->N, 0U, 1U); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q31.c new file mode 100644 index 0000000..b0642d9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_init_q31.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_q31.c + * Description: Initialization function of DCT-4 & IDCT4 Q31 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + + /** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Initialization function for the Q31 DCT4/IDCT4. + @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure. + @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure + @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure + @param[in] N length of the DCT4. + @param[in] Nby2 half of the length of the DCT4. + @param[in] normalize normalizing factor. + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : N is not a supported transform length + + @par Normalizing factor: + The normalizing factor is sqrt(2/N), which depends on the size of transform N. + Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes: + + \image html dct4NormalizingQ31Table.gif + */ + +arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize) +{ + /* Initialize the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = WeightsQ31_8192; + S->pCosFactor = cos_factorsQ31_8192; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + case 2048U: + S->pTwiddle = WeightsQ31_2048; + S->pCosFactor = cos_factorsQ31_2048; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + case 512U: + S->pTwiddle = WeightsQ31_512; + S->pCosFactor = cos_factorsQ31_512; + break; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + case 128U: + S->pTwiddle = WeightsQ31_128; + S->pCosFactor = cos_factorsQ31_128; + break; + #endif + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT Function */ + arm_rfft_init_q31(S->pRfft, S->N, 0U, 1U); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q15.c new file mode 100644 index 0000000..a2b2ae9 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q15.c @@ -0,0 +1,381 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_q15.c + * Description: Processing function of DCT4 & IDCT4 Q15 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Processing function for the Q15 DCT4/IDCT4. + @param[in] S points to an instance of the Q15 DCT4 structure. + @param[in] pState points to state buffer. + @param[in,out] pInlineBuffer points to the in-place input and output buffer. + @return none + + @par Input an output formats + Internally inputs are downscaled in the RFFT process function to avoid overflows. + Number of bits downscaled, depends on the size of the transform. The input and output + formats for different DCT sizes and number of bits to upscale are mentioned in the table below: + + \image html dct4FormatsQ15Table.gif + */ + +void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer) +{ + const q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + const q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + q15_t in; /* Temporary variable */ + uint32_t i; /* Loop counter */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_mult_q15 (pInlineBuffer, cosFact, pInlineBuffer, S->N); + arm_shift_q15 (pInlineBuffer, 1, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q15 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.13 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ + arm_shift_q15 (pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = (S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = (S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Initializing the loop counter to N/2 */ + i = S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q15 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.13 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ + arm_shift_q15 (pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* Initializing the loop counter */ + i = (S->N - 1U); + + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing loop counter */ + i = S->N; + + /* pbuff initialized to the pInlineBuffer (now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + /* Decrement loop counter */ + i--; + + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q31.c new file mode 100644 index 0000000..369a5c3 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_dct4_q31.c @@ -0,0 +1,383 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_q31.c + * Description: Processing function of DCT4 & IDCT4 Q31 + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + @addtogroup DCT4_IDCT4 + @{ + */ + +/** + @brief Processing function for the Q31 DCT4/IDCT4. + @param[in] S points to an instance of the Q31 DCT4 structure. + @param[in] pState points to state buffer. + @param[in,out] pInlineBuffer points to the in-place input and output buffer. + @return none + + @par Input an output formats + Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process, + as the conversion from DCT2 to DCT4 involves one subtraction. + Internally inputs are downscaled in the RFFT process function to avoid overflows. + Number of bits downscaled, depends on the size of the transform. + The input and output formats for different DCT sizes and number of bits to upscale are + mentioned in the table below: + + \image html dct4FormatsQ31Table.gif + */ + +void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer) +{ + const q31_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + const q31_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + q31_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + q31_t in; /* Temporary variable */ + uint32_t i; /* Loop counter */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_mult_q31 (pInlineBuffer, cosFact, pInlineBuffer, S->N); + arm_shift_q31 (pInlineBuffer, 1, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + +#if defined (ARM_MATH_LOOPUNROLL) + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q31 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.29 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ + arm_shift_q31 (pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = (S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = (S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + /* Decrement loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Initializing the loop counter to N/2 */ + i = S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q31 (S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.29 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ + arm_shift_q31(pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* Initializing the loop counter */ + i = (S->N - 1U); + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + + /* points to the next real value */ + pS1++; + + /* Decrement loop counter */ + i--; + } + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing loop counter */ + i = S->N; + + /* pbuff initialized to the pInlineBuffer (now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + /* Decrement loop counter */ + i--; + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_LOOPUNROLL) */ + +} + +/** + @} end of DCT4_IDCT4 group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_f32.c new file mode 100644 index 0000000..ef5070f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_f32.c @@ -0,0 +1,311 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_f32.c + * Description: RFFT & RIFFT Floating point process function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +extern void arm_radix4_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen); + +extern void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + const uint16_t * pBitRevTab); + +void arm_split_rfft_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pATable, + const float32_t * pBTable, + float32_t * pDst, + uint32_t modifier); + +void arm_split_rifft_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pATable, + const float32_t * pBTable, + float32_t * pDst, + uint32_t modifier); + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Processing function for the floating-point RFFT/RIFFT. + Source buffer is modified by this function. + + @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_f32 and will be removed in the future. + @param[in] S points to an instance of the floating-point RFFT/RIFFT structure + @param[in] pSrc points to the input buffer + @param[out] pDst points to the output buffer + @return none + */ + +void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst) +{ + const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft; + + /* Calculation of Real IFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + + /* Complex radix-4 IFFT process */ + arm_radix4_butterfly_inverse_f32 (pDst, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier, S_CFFT->onebyfftLen); + + /* Bit reversal process */ + if (S->bitReverseFlagR == 1U) + { + arm_bitreversal_f32 (pDst, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex radix-4 FFT process */ + arm_radix4_butterfly_f32 (pSrc, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier); + + /* Bit reversal process */ + if (S->bitReverseFlagR == 1U) + { + arm_bitreversal_f32 (pSrc, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); + } + + /* Real FFT core process */ + arm_split_rfft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } + +} + +/** + @} end of RealFFT group + */ + +/** + @brief Core Real FFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +void arm_split_rfft_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pATable, + const float32_t * pBTable, + float32_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + float32_t outR, outI; /* Temporary variables for output */ + const float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U]; /* temp pointers for output buffer */ + float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U]; /* temp pointers for input buffer */ + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2]; + pCoefB = &pBTable[modifier * 2]; + + i = fftLen - 1U; + + while (i > 0U) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + /* read pATable[2 * i] */ + CoefA1 = *pCoefA++; + /* pATable[2 * i + 1] */ + CoefA2 = *pCoefA; + + /* pSrc[2 * i] * pATable[2 * i] */ + outR = *pSrc1 * CoefA1; + /* pSrc[2 * i] * CoefA2 */ + outI = *pSrc1++ * CoefA2; + + /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ + outR -= (*pSrc1 + *pSrc2) * CoefA2; + /* pSrc[2 * i + 1] * CoefA1 */ + outI += *pSrc1++ * CoefA1; + + CoefB1 = *pCoefB; + + /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ + outI -= *pSrc2-- * CoefB1; + /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ + outI -= *pSrc2 * CoefA2; + + /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ + outR += *pSrc2-- * CoefB1; + + /* write output */ + *pDst1++ = outR; + *pDst1++ = outI; + + /* write complex conjugate output */ + *pDst2-- = -outI; + *pDst2-- = outR; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2U); + pCoefA = pCoefA + ((modifier * 2U) - 1U); + + i--; + + } + + pDst[2U * fftLen] = pSrc[0] - pSrc[1]; + pDst[(2U * fftLen) + 1U] = 0.0f; + + pDst[0] = pSrc[0] + pSrc[1]; + pDst[1] = 0.0f; + +} + + +/** + @brief Core Real IFFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +void arm_split_rifft_f32( + float32_t * pSrc, + uint32_t fftLen, + const float32_t * pATable, + const float32_t * pBTable, + float32_t * pDst, + uint32_t modifier) +{ + float32_t outR, outI; /* Temporary variables for output */ + const float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + while (fftLen > 0U) + { + /* + outR = ( pIn[2 * i] * pATable[2 * i] + + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + - pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pSrc[2 * i] * CoefA1 */ + outR = *pSrc1 * CoefA1; + + /* - pSrc[2 * i] * CoefA2 */ + outI = -(*pSrc1++) * CoefA2; + + /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ + outR += (*pSrc1 + *pSrc2) * CoefA2; + + /* pSrc[2 * i + 1] * CoefA1 */ + outI += (*pSrc1++) * CoefA1; + + CoefB1 = *pCoefB; + + /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ + outI -= *pSrc2-- * CoefB1; + + /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ + outR += *pSrc2 * CoefB1; + + /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ + outI += *pSrc2-- * CoefA2; + + /* write output */ + *pDst++ = outR; + *pDst++ = outI; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2); + pCoefA = pCoefA + (modifier * 2 - 1); + + /* Decrement loop count */ + fftLen--; + } + +} diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f32.c new file mode 100644 index 0000000..effdede --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f32.c @@ -0,0 +1,603 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_f32.c + * Description: RFFT & RIFFT Floating point process function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) +void stage_rfft_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, + float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b; /* temporary variables */ + float32_t p0, p1, p2, p3; /* temporary variables */ + + float32x4x2_t tw,xA,xB; + float32x4x2_t tmp1, tmp2, res; + + uint32x4_t vecStridesFwd, vecStridesBkwd; + + vecStridesFwd = vidupq_u32((uint32_t)0, 2); + vecStridesBkwd = -vecStridesFwd; + + int blockCnt; + + + k = (S->Sint).fftLen - 1; + + /* Pack first and last sample of the frequency domain together */ + + xBR = pB[0]; + xBI = pB[1]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++ ; + twI = *pCoeff++ ; + + // U1 = XA(1) + XB(1); % It is real + t1a = xBR + xAR ; + + // U2 = XB(1) - XA(1); % It is imaginary + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + *pOut++ = 0.5f * ( t1a + t1b ); + *pOut++ = 0.5f * ( t1a - t1b ); + + // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); + pB = p + 2*k; + pA += 2; + + blockCnt = k >> 2; + while (blockCnt > 0) + { + /* + function X = my_split_rfft(X, ifftFlag) + % X is a series of real numbers + L = length(X); + XC = X(1:2:end) +i*X(2:2:end); + XA = fft(XC); + XB = conj(XA([1 end:-1:2])); + TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; + for l = 2:L/2 + XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); + end + XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); + X = XA; + */ + + + xA = vld2q_f32(pA); + pA += 8; + + xB = vld2q_f32(pB); + + xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd); + xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd); + + xB.val[1] = vnegq_f32(xB.val[1]); + pB -= 8; + + + tw = vld2q_f32(pCoeff); + pCoeff += 8; + + + tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]); + tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]); + + tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]); + tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]); + + res.val[0] = vmulq(tw.val[0], tmp2.val[0]); + res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]); + + res.val[1] = vmulq(tw.val[0], tmp2.val[1]); + res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]); + + res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] ); + res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] ); + + res.val[0] = vmulq_n_f32(res.val[0], 0.5f); + res.val[1] = vmulq_n_f32(res.val[1], 0.5f); + + + vst2q_f32(pOut, res); + pOut += 8; + + + blockCnt--; + } + + blockCnt = k & 3; + while (blockCnt > 0) + { + /* + function X = my_split_rfft(X, ifftFlag) + % X is a series of real numbers + L = length(X); + XC = X(1:2:end) +i*X(2:2:end); + XA = fft(XC); + XB = conj(XA([1 end:-1:2])); + TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; + for l = 2:L/2 + XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); + end + XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); + X = XA; + */ + + xBI = pB[1]; + xBR = pB[0]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xBR - xAR ; + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + p0 = twR * t1a; + p1 = twI * t1a; + p2 = twR * t1b; + p3 = twI * t1b; + + *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR + *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI + + pA += 2; + pB -= 2; + blockCnt--; + } +} + +/* Prepares data for inverse cfft */ +void merge_rfft_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, + float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b, r, s, t, u; /* temporary variables */ + + float32x4x2_t tw,xA,xB; + float32x4x2_t tmp1, tmp2, res; + uint32x4_t vecStridesFwd, vecStridesBkwd; + + vecStridesFwd = vidupq_u32((uint32_t)0, 2); + vecStridesBkwd = -vecStridesFwd; + + int blockCnt; + + + k = (S->Sint).fftLen - 1; + + xAR = pA[0]; + xAI = pA[1]; + + pCoeff += 2 ; + + *pOut++ = 0.5f * ( xAR + xAI ); + *pOut++ = 0.5f * ( xAR - xAI ); + + pB = p + 2*k ; + pA += 2 ; + + blockCnt = k >> 2; + while (blockCnt > 0) + { + /* G is half of the frequency complex spectrum */ + //for k = 2:N + // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); + xA = vld2q_f32(pA); + pA += 8; + + xB = vld2q_f32(pB); + + xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd); + xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd); + + xB.val[1] = vnegq_f32(xB.val[1]); + pB -= 8; + + + tw = vld2q_f32(pCoeff); + tw.val[1] = vnegq_f32(tw.val[1]); + pCoeff += 8; + + + tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]); + tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]); + + tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]); + tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]); + + res.val[0] = vmulq(tw.val[0], tmp2.val[0]); + res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]); + + res.val[1] = vmulq(tw.val[0], tmp2.val[1]); + res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]); + + res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] ); + res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] ); + + res.val[0] = vmulq_n_f32(res.val[0], 0.5f); + res.val[1] = vmulq_n_f32(res.val[1], 0.5f); + + + vst2q_f32(pOut, res); + pOut += 8; + + + blockCnt--; + } + + blockCnt = k & 3; + while (blockCnt > 0) + { + /* G is half of the frequency complex spectrum */ + //for k = 2:N + // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); + xBI = pB[1] ; + xBR = pB[0] ; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xAR - xBR ; + t1b = xAI + xBI ; + + r = twR * t1a; + s = twI * t1b; + t = twI * t1a; + u = twR * t1b; + + // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); + // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); + *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR + *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI + + pA += 2; + pB -= 2; + blockCnt--; + } + +} +#else +void stage_rfft_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, + float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + const float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b; /* temporary variables */ + float32_t p0, p1, p2, p3; /* temporary variables */ + + + k = (S->Sint).fftLen - 1; + + /* Pack first and last sample of the frequency domain together */ + + xBR = pB[0]; + xBI = pB[1]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++ ; + twI = *pCoeff++ ; + + + // U1 = XA(1) + XB(1); % It is real + t1a = xBR + xAR ; + + // U2 = XB(1) - XA(1); % It is imaginary + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + *pOut++ = 0.5f * ( t1a + t1b ); + *pOut++ = 0.5f * ( t1a - t1b ); + + // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); + pB = p + 2*k; + pA += 2; + + do + { + /* + function X = my_split_rfft(X, ifftFlag) + % X is a series of real numbers + L = length(X); + XC = X(1:2:end) +i*X(2:2:end); + XA = fft(XC); + XB = conj(XA([1 end:-1:2])); + TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; + for l = 2:L/2 + XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); + end + XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); + X = XA; + */ + + xBI = pB[1]; + xBR = pB[0]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xBR - xAR ; + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + p0 = twR * t1a; + p1 = twI * t1a; + p2 = twR * t1b; + p3 = twI * t1b; + + *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR + *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI + + + pA += 2; + pB -= 2; + k--; + } while (k > 0U); +} + +/* Prepares data for inverse cfft */ +void merge_rfft_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, + float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + const float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b, r, s, t, u; /* temporary variables */ + + k = (S->Sint).fftLen - 1; + + xAR = pA[0]; + xAI = pA[1]; + + pCoeff += 2 ; + + *pOut++ = 0.5f * ( xAR + xAI ); + *pOut++ = 0.5f * ( xAR - xAI ); + + pB = p + 2*k ; + pA += 2 ; + + while (k > 0U) + { + /* G is half of the frequency complex spectrum */ + //for k = 2:N + // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); + xBI = pB[1] ; + xBR = pB[0] ; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xAR - xBR ; + t1b = xAI + xBI ; + + r = twR * t1a; + s = twI * t1b; + t = twI * t1a; + u = twR * t1b; + + // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); + // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); + *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR + *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI + + pA += 2; + pB -= 2; + k--; + } + +} + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +/** + @ingroup groupTransforms +*/ + +/** + @defgroup RealFFT Real FFT Functions + + @par + The CMSIS DSP library includes specialized algorithms for computing the + FFT of real data sequences. The FFT is defined over complex data but + in many applications the input is real. Real FFT algorithms take advantage + of the symmetry properties of the FFT and have a speed advantage over complex + algorithms of the same length. + @par + The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage. + @par + The real length N forward FFT of a sequence is computed using the steps shown below. + @par + \image html RFFT.gif "Real Fast Fourier Transform" + @par + The real sequence is initially treated as if it were complex to perform a CFFT. + Later, a processing stage reshapes the data to obtain half of the frequency spectrum + in complex format. Except the first complex number that contains the two real numbers + X[0] and X[N/2] all the data is complex. In other words, the first complex sample + contains two real values packed. + @par + The input for the inverse RFFT should keep the same format as the output of the + forward RFFT. A first processing stage pre-process the data to later perform an + inverse CFFT. + @par + \image html RIFFT.gif "Real Inverse Fast Fourier Transform" + @par + The algorithms for floating-point, Q15, and Q31 data are slightly different + and we describe each algorithm in turn. + @par Floating-point + The main functions are \ref arm_rfft_fast_f32() and \ref arm_rfft_fast_init_f32(). + The older functions \ref arm_rfft_f32() and \ref arm_rfft_init_f32() have been deprecated + but are still documented. + @par + The FFT of a real N-point sequence has even symmetry in the frequency domain. + The second half of the data equals the conjugate of the first half flipped in frequency. + Looking at the data, we see that we can uniquely represent the FFT using only N/2 complex numbers. + These are packed into the output array in alternating real and imaginary components: + @par + X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ... + real[(N/2)-1], imag[(N/2)-1 } + @par + It happens that the first complex number (real[0], imag[0]) is actually + all real. real[0] represents the DC offset, and imag[0] should be 0. + (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is + the first harmonic and so on. + @par + The real FFT functions pack the frequency domain data in this fashion. + The forward transform outputs the data in this form and the inverse + transform expects input data in this form. The function always performs + the needed bitreversal so that the input and output data is always in + normal order. The functions support lengths of [32, 64, 128, ..., 4096] + samples. + @par Q15 and Q31 + The real algorithms are defined in a similar manner and utilize N/2 complex + transforms behind the scenes. + @par + The complex transforms used internally include scaling to prevent fixed-point + overflows. The overall scaling equals 1/(fftLen/2). + Due to the use of complex transform internally, the source buffer is + modified by the rfft. + @par + A separate instance structure must be defined for each transform used but + twiddle factor and bit reversal tables can be reused. + @par + There is also an associated initialization function for each data type. + The initialization function performs the following operations: + - Sets the values of the internal structure fields. + - Initializes twiddle factor table and bit reversal table pointers. + - Initializes the internal complex FFT data structure. + @par + Use of the initialization function is optional **except for MVE versions where it is mandatory**. + If you don't use the initialization functions, then the structures should be initialized with code + similar to the one below: + 
+      arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+      arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+
+ where fftLenReal is the length of the real transform; + fftLenBy2 length of the internal complex transform (fftLenReal/2). + ifftFlagR Selects forward (=0) or inverse (=1) transform. + bitReverseFlagR Selects bit reversed output (=0) or normal order + output (=1). + twidCoefRModifier stride modifier for the twiddle factor table. + The value is based on the FFT length; + pTwiddleARealpoints to the A array of twiddle coefficients; + pTwiddleBRealpoints to the B array of twiddle coefficients; + pCfft points to the CFFT Instance structure. The CFFT structure + must also be initialized. +@par + Note that with MVE versions you can't initialize instance structures directly and **must + use the initialization function**. + */ + +/** + @addtogroup RealFFT + @{ +*/ + +/** + @brief Processing function for the floating-point real FFT. + @param[in] S points to an arm_rfft_fast_instance_f32 structure + @param[in] p points to input buffer (Source buffer is modified by this function.) + @param[in] pOut points to output buffer + @param[in] ifftFlag + - value = 0: RFFT + - value = 1: RIFFT + @return none +*/ + +void arm_rfft_fast_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, + float32_t * pOut, + uint8_t ifftFlag) +{ + const arm_cfft_instance_f32 * Sint = &(S->Sint); + + /* Calculation of Real FFT */ + if (ifftFlag) + { + /* Real FFT compression */ + merge_rfft_f32(S, p, pOut); + /* Complex radix-4 IFFT process */ + arm_cfft_f32( Sint, pOut, ifftFlag, 1); + } + else + { + /* Calculation of RFFT of input */ + arm_cfft_f32( Sint, p, ifftFlag, 1); + + /* Real FFT extraction */ + stage_rfft_f32(S, p, pOut); + } +} + +/** +* @} end of RealFFT group +*/ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f64.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f64.c new file mode 100644 index 0000000..16a7a03 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_f64.c @@ -0,0 +1,228 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_f64.c + * Description: RFFT & RIFFT Double precision Floating point process function + * + * $Date: 29. November 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void stage_rfft_f64( + const arm_rfft_fast_instance_f64 * S, + float64_t * p, + float64_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float64_t twR, twI; /* RFFT Twiddle coefficients */ + const float64_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float64_t *pA = p; /* increasing pointer */ + float64_t *pB = p; /* decreasing pointer */ + float64_t xAR, xAI, xBR, xBI; /* temporary variables */ + float64_t t1a, t1b; /* temporary variables */ + float64_t p0, p1, p2, p3; /* temporary variables */ + + + k = (S->Sint).fftLen - 1; + + /* Pack first and last sample of the frequency domain together */ + + xBR = pB[0]; + xBI = pB[1]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++ ; + twI = *pCoeff++ ; + + // U1 = XA(1) + XB(1); % It is real + t1a = xBR + xAR ; + + // U2 = XB(1) - XA(1); % It is imaginary + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + *pOut++ = 0.5 * ( t1a + t1b ); + *pOut++ = 0.5 * ( t1a - t1b ); + + // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); + pB = p + 2*k; + pA += 2; + + do + { + /* + function X = my_split_rfft(X, ifftFlag) + % X is a series of real numbers + L = length(X); + XC = X(1:2:end) +i*X(2:2:end); + XA = fft(XC); + XB = conj(XA([1 end:-1:2])); + TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; + for l = 2:L/2 + XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); + end + XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); + X = XA; + */ + + xBI = pB[1]; + xBR = pB[0]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xBR - xAR ; + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + p0 = twR * t1a; + p1 = twI * t1a; + p2 = twR * t1b; + p3 = twI * t1b; + + *pOut++ = 0.5 * (xAR + xBR + p0 + p3 ); //xAR + *pOut++ = 0.5 * (xAI - xBI + p1 - p2 ); //xAI + + pA += 2; + pB -= 2; + k--; + } while (k > 0U); +} + +/* Prepares data for inverse cfft */ +void merge_rfft_f64( + const arm_rfft_fast_instance_f64 * S, + float64_t * p, + float64_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float64_t twR, twI; /* RFFT Twiddle coefficients */ + const float64_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float64_t *pA = p; /* increasing pointer */ + float64_t *pB = p; /* decreasing pointer */ + float64_t xAR, xAI, xBR, xBI; /* temporary variables */ + float64_t t1a, t1b, r, s, t, u; /* temporary variables */ + + k = (S->Sint).fftLen - 1; + + xAR = pA[0]; + xAI = pA[1]; + + pCoeff += 2 ; + + *pOut++ = 0.5 * ( xAR + xAI ); + *pOut++ = 0.5 * ( xAR - xAI ); + + pB = p + 2*k ; + pA += 2 ; + + while (k > 0U) + { + /* G is half of the frequency complex spectrum */ + //for k = 2:N + // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); + xBI = pB[1] ; + xBR = pB[0] ; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xAR - xBR ; + t1b = xAI + xBI ; + + r = twR * t1a; + s = twI * t1b; + t = twI * t1a; + u = twR * t1b; + + // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); + // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); + *pOut++ = 0.5 * (xAR + xBR - r - s ); //xAR + *pOut++ = 0.5 * (xAI - xBI + t - u ); //xAI + + pA += 2; + pB -= 2; + k--; + } + +} + +/** + @ingroup groupTransforms +*/ + + +/** + @addtogroup RealFFT + @{ +*/ + +/** + @brief Processing function for the Double Precision floating-point real FFT. + @param[in] S points to an arm_rfft_fast_instance_f64 structure + @param[in] p points to input buffer (Source buffer is modified by this function.) + @param[in] pOut points to output buffer + @param[in] ifftFlag + - value = 0: RFFT + - value = 1: RIFFT + @return none +*/ + +void arm_rfft_fast_f64( + arm_rfft_fast_instance_f64 * S, + float64_t * p, + float64_t * pOut, + uint8_t ifftFlag) +{ + arm_cfft_instance_f64 * Sint = &(S->Sint); + Sint->fftLen = S->fftLenRFFT / 2; + + /* Calculation of Real FFT */ + if (ifftFlag) + { + /* Real FFT compression */ + merge_rfft_f64(S, p, pOut); + + /* Complex radix-4 IFFT process */ + arm_cfft_f64( Sint, pOut, ifftFlag, 1); + } + else + { + /* Calculation of RFFT of input */ + arm_cfft_f64( Sint, p, ifftFlag, 1); + + /* Real FFT extraction */ + stage_rfft_f64(S, p, pOut); + } +} + +/** +* @} end of RealFFT group +*/ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c new file mode 100644 index 0000000..1101a9f --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f32.c @@ -0,0 +1,352 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_f32.c + * Description: Split Radix Decimation in Frequency CFFT Floating point processing function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup RealFFT + @{ + */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)) + +/** + @private + @brief Initialization function for the 32pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_32_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),16); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + + S->fftLenRFFT = 32U; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_32; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)) + +/** + @private + @brief Initialization function for the 64pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_64_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),32); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 64U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_64; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)) + +/** + @private + @brief Initialization function for the 128pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_128_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),64); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 128; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_128; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)) + +/** + @private + @brief Initialization function for the 256pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected +*/ + +static arm_status arm_rfft_256_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),128); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 256U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_256; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)) + +/** + @private + @brief Initialization function for the 512pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_512_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),256); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 512U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_512; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)) +/** + @private + @brief Initialization function for the 1024pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_1024_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),512); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 1024U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_1024; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)) +/** + @private + @brief Initialization function for the 2048pt floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ +static arm_status arm_rfft_2048_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),1024); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 2048U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_2048; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)) +/** + @private +* @brief Initialization function for the 4096pt floating-point real FFT. +* @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_4096_fast_init_f32( arm_rfft_fast_instance_f32 * S ) { + + arm_status status; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + status=arm_cfft_init_f32(&(S->Sint),2048); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + S->fftLenRFFT = 4096U; + + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_4096; + + return ARM_MATH_SUCCESS; +} +#endif + +/** + @brief Initialization function for the floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f32 structure + @param[in] fftLen length of the Real Sequence + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Description + The parameter fftLen specifies the length of RFFT/CIFFT process. + Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. + */ + +arm_status arm_rfft_fast_init_f32( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen) +{ + typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f32 *); + fft_init_ptr fptr = 0x0; + + switch (fftLen) + { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)) + case 4096U: + fptr = arm_rfft_4096_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)) + case 2048U: + fptr = arm_rfft_2048_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)) + case 1024U: + fptr = arm_rfft_1024_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)) + case 512U: + fptr = arm_rfft_512_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)) + case 256U: + fptr = arm_rfft_256_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)) + case 128U: + fptr = arm_rfft_128_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)) + case 64U: + fptr = arm_rfft_64_fast_init_f32; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)) + case 32U: + fptr = arm_rfft_32_fast_init_f32; + break; +#endif + default: + return ARM_MATH_ARGUMENT_ERROR; + } + + if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR; + return fptr( S ); + +} + +/** + @} end of RealFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f64.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f64.c new file mode 100644 index 0000000..3ea02ff --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_fast_init_f64.c @@ -0,0 +1,344 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_f64.c + * Description: Split Radix Decimation in Frequency CFFT Double Precision Floating point processing function + * + * $Date: 29. November 2019 + * $Revision: V1.0.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + @ingroup groupTransforms + */ + +/** + @addtogroup RealFFT + @{ + */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)) + +/** + @brief Initialization function for the 32pt double precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_32_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 16U; + S->fftLenRFFT = 32U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_16; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_16; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_32; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)) + +/** + @brief Initialization function for the 64pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_64_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 32U; + S->fftLenRFFT = 64U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_32; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_32; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_64; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)) + +/** + @brief Initialization function for the 128pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_128_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 64U; + S->fftLenRFFT = 128U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_64; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_64; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_128; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)) + +/** + @brief Initialization function for the 256pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected +*/ + +static arm_status arm_rfft_256_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 128U; + S->fftLenRFFT = 256U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_128; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_128; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_256; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)) + +/** + @brief Initialization function for the 512pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_512_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 256U; + S->fftLenRFFT = 512U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_256; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_256; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_512; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)) +/** + @brief Initialization function for the 1024pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_1024_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 512U; + S->fftLenRFFT = 1024U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_512; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_512; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_1024; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)) +/** + @brief Initialization function for the 2048pt Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ +static arm_status arm_rfft_2048_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 1024U; + S->fftLenRFFT = 2048U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_1024; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_1024; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_2048; + + return ARM_MATH_SUCCESS; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)) +/** +* @brief Initialization function for the 4096pt Double Precision floating-point real FFT. +* @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected + */ + +static arm_status arm_rfft_4096_fast_init_f64( arm_rfft_fast_instance_f64 * S ) { + + arm_cfft_instance_f64 * Sint; + + if( !S ) return ARM_MATH_ARGUMENT_ERROR; + + Sint = &(S->Sint); + Sint->fftLen = 2048U; + S->fftLenRFFT = 4096U; + + Sint->bitRevLength = ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTableF64_2048; + Sint->pTwiddle = (float64_t *) twiddleCoefF64_2048; + S->pTwiddleRFFT = (float64_t *) twiddleCoefF64_rfft_4096; + + return ARM_MATH_SUCCESS; +} +#endif + +/** + @brief Initialization function for the Double Precision floating-point real FFT. + @param[in,out] S points to an arm_rfft_fast_instance_f64 structure + @param[in] fftLen length of the Real Sequence + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLen is not a supported length + + @par Description + The parameter fftLen specifies the length of RFFT/CIFFT process. + Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. + @par + This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. + */ + +arm_status arm_rfft_fast_init_f64( + arm_rfft_fast_instance_f64 * S, + uint16_t fftLen) +{ + typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f64 *); + fft_init_ptr fptr = 0x0; + + switch (fftLen) + { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)) + case 4096U: + fptr = arm_rfft_4096_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)) + case 2048U: + fptr = arm_rfft_2048_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)) + case 1024U: + fptr = arm_rfft_1024_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)) + case 512U: + fptr = arm_rfft_512_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)) + case 256U: + fptr = arm_rfft_256_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)) + case 128U: + fptr = arm_rfft_128_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)) + case 64U: + fptr = arm_rfft_64_fast_init_f64; + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16) && defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)) + case 32U: + fptr = arm_rfft_32_fast_init_f64; + break; +#endif + default: + return ARM_MATH_ARGUMENT_ERROR; + } + + if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR; + return fptr( S ); + +} + +/** + @} end of RealFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_f32.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_f32.c new file mode 100644 index 0000000..141f8b6 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_f32.c @@ -0,0 +1,139 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_f32.c + * Description: RFFT & RIFFT Floating point initialisation function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Initialization function for the floating-point RFFT/RIFFT. + @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed in the future. + @param[in,out] S points to an instance of the floating-point RFFT/RIFFT structure + @param[in,out] S_CFFT points to an instance of the floating-point CFFT/CIFFT structure + @param[in] fftLenReal length of the FFT. + @param[in] ifftFlagR flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length + + @par Description + The parameter fftLenRealspecifies length of RFFT/RIFFT Process. + Supported FFT Lengths are 128, 512, 2048. + @par + The parameter ifftFlagR controls whether a forward or inverse transform is computed. + Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + This function also initializes Twiddle factor table. + */ + +arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Complex FFT length */ + S->fftLenBy2 = (uint16_t) fftLenReal / 2U; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (float32_t *) realCoefA; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (float32_t *) realCoefB; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLenReal) + { + /* Init table modifier value */ + case 8192U: + S->twidCoefRModifier = 1U; + break; + case 2048U: + S->twidCoefRModifier = 4U; + break; + case 512U: + S->twidCoefRModifier = 16U; + break; + case 128U: + S->twidCoefRModifier = 64U; + break; + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* Init Complex FFT Instance */ + S->pCfft = S_CFFT; + + if (S->ifftFlagR) + { + /* Initializes the CIFFT Module for fftLenreal/2 length */ + arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1U, 0U); + } + else + { + /* Initializes the CFFT Module for fftLenreal/2 length */ + arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0U, 0U); + } + + /* return the status of RFFT Init function */ + return (status); + +} + +/** + @} end of RealFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q15.c new file mode 100644 index 0000000..a0b8a09 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q15.c @@ -0,0 +1,239 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_q15.c + * Description: RFFT & RIFFT Q15 initialisation function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Initialization function for the Q15 RFFT/RIFFT. + @param[in,out] S points to an instance of the Q15 RFFT/RIFFT structure + @param[in] fftLenReal length of the FFT + @param[in] ifftFlagR flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length + + @par Details + The parameter fftLenReal specifies length of RFFT/RIFFT Process. + Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. + @par + The parameter ifftFlagR controls whether a forward or inverse transform is computed. + Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + This function also initializes Twiddle factor table. + */ + +arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (q15_t *) realCoefAQ15; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (q15_t *) realCoefBQ15; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initialization of coef modifier depending on the FFT length */ + switch (S->fftLenReal) + { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) + case 8192U: + S->twidCoefRModifier = 1U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),4096); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len4096; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) + case 4096U: + S->twidCoefRModifier = 2U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),2048); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len2048; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) + case 2048U: + S->twidCoefRModifier = 4U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),1024); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len1024; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) + case 1024U: + S->twidCoefRModifier = 8U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),512); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len512; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) + case 512U: + S->twidCoefRModifier = 16U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),256); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len256; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) + case 256U: + S->twidCoefRModifier = 32U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),128); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len128; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) + case 128U: + S->twidCoefRModifier = 64U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),64); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len64; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) + case 64U: + S->twidCoefRModifier = 128U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),32); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len32; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) + case 32U: + S->twidCoefRModifier = 256U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q15(&(S->cfftInst),16); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q15_len16; + #endif + break; +#endif + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* return the status of RFFT Init function */ + return (status); +} + +/** + @} end of RealFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q31.c new file mode 100644 index 0000000..2bb897a --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_init_q31.c @@ -0,0 +1,237 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_q31.c + * Description: RFFT & RIFFT Q31 initialisation function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + + + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Initialization function for the Q31 RFFT/RIFFT. + @param[in,out] S points to an instance of the Q31 RFFT/RIFFT structure + @param[in] fftLenReal length of the FFT + @param[in] ifftFlagR flag that selects transform direction + - value = 0: forward transform + - value = 1: inverse transform + @param[in] bitReverseFlag flag that enables / disables bit reversal of output + - value = 0: disables bit reversal of output + - value = 1: enables bit reversal of output + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_ARGUMENT_ERROR : fftLenReal is not a supported length + + @par Details + The parameter fftLenReal specifies length of RFFT/RIFFT Process. + Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. + @par + The parameter ifftFlagR controls whether a forward or inverse transform is computed. + Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. + @par + The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. + Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. + @par + This function also initializes Twiddle factor table. +*/ + +arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (q31_t *) realCoefAQ31; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (q31_t *) realCoefBQ31; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initialization of coef modifier depending on the FFT length */ + switch (S->fftLenReal) + { +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096)) + case 8192U: + + + S->twidCoefRModifier = 1U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),4096); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len4096; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048)) + case 4096U: + S->twidCoefRModifier = 2U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),2048); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len2048; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024)) + case 2048U: + S->twidCoefRModifier = 4U; + + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),1024); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len1024; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512)) + case 1024U: + S->twidCoefRModifier = 8U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),512); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len512; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256)) + case 512U: + S->twidCoefRModifier = 16U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),256); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len256; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128)) + case 256U: + S->twidCoefRModifier = 32U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),128); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len128; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64)) + case 128U: + S->twidCoefRModifier = 64U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),64); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len64; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32)) + case 64U: + S->twidCoefRModifier = 128U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),32); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len32; + #endif + break; +#endif +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16)) + case 32U: + S->twidCoefRModifier = 256U; + #if defined(ARM_MATH_MVEI) + status=arm_cfft_init_q31(&(S->cfftInst),16); + if (status != ARM_MATH_SUCCESS) + { + return(status); + } + #else + S->pCfft = &arm_cfft_sR_q31_len16; + #endif + break; +#endif + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* return the status of RFFT Init function */ + return (status); +} + +/** + @} end of RealFFT group + */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q15.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q15.c new file mode 100644 index 0000000..e1dbb11 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q15.c @@ -0,0 +1,592 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_q15.c + * Description: RFFT & RIFFT Q15 process function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Processing function for the Q15 RFFT/RIFFT. + @param[in] S points to an instance of the Q15 RFFT/RIFFT structure + @param[in] pSrc points to input buffer (Source buffer is modified by this function.) + @param[out] pDst points to output buffer + @return none + + @par Input an output formats + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different RFFT sizes. + The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: + @par + \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT" + @par + \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT" + @par + If the input buffer is of length N, the output buffer must have length 2*N. + The input buffer is modified by this function. + */ + +void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst) +{ +#if defined(ARM_MATH_MVEI) + const arm_cfft_instance_q15 *S_CFFT = &(S->cfftInst); +#else + const arm_cfft_instance_q15 *S_CFFT = S->pCfft; +#endif + uint32_t L2 = S->fftLenReal >> 1U; + uint32_t i; + + /* Calculation of RIFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + /* Complex IFFT process */ + arm_cfft_q15 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR); + + for(i = 0; i < S->fftLenReal; i++) + { + pDst[i] = pDst[i] << 1U; + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex FFT process */ + arm_cfft_q15 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR); + + /* Real FFT core process */ + arm_split_rfft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } + +} + +/** + @} end of RealFFT group + */ + +/** + @brief Core Real FFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + + @par + The function implements a Real FFT + */ + +#if defined(ARM_MATH_MVEI) +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U - 14]; /* temp pointers for output buffer */ + q15_t const *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U - 14]; /* temp pointers for input buffer */ + q15_t const *pVecSrc1; + q15_t *pVecDst1; + q15x8x2_t vecIn, vecSum; + uint32_t blkCnt; + uint16x8_t vecStridesFwd, vecStridesBkwd; + q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14 + vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0 + vecStridesFwd = vecStridesFwd * (uint16_t) modifier; + + pVecSrc1 = (q15_t const *) pSrc1; + pVecDst1 = pDst1; + + blkCnt = fftLen >> 3; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 16; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vrmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = *pSrc1++ * CoefA2; + */ + vecSum.val[1] = vrmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR -= (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqsubq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vrmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI -= *pSrc2 * CoefA2; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vrmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vrmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst1, vecSum); + pVecDst1 += 16; + /* + * write complex conjugate output + */ + vecSum.val[1] = -vecSum.val[1]; + vstrhq_scatter_shifted_offset(pDst2, vecStridesBkwd, vecSum.val[1]); + vstrhq_scatter_shifted_offset(&pDst2[-1], vecStridesBkwd, vecSum.val[0]); + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U); + /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/ + //vecStridesBkwd = vecStridesBkwd - (uint16_t)16; + pSrc2 = pSrc2 - 16; + pDst2 = pDst2 - 16; + + blkCnt--; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; +} +#else +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; +#if defined (ARM_MATH_DSP) + q15_t *pD1, *pD2; +#endif + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2]; + pCoefB = &pBTable[modifier * 2]; + + pSrc1 = &pSrc[2]; + pSrc2 = &pSrc[(2U * fftLen) - 2U]; + +#if defined (ARM_MATH_DSP) + + i = 1U; + pD1 = pDst + 2; + pD2 = pDst + (4U * fftLen) - 2; + + for (i = fftLen - 1; i > 0; i--) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]) + */ + + +#ifndef ARM_MATH_BIG_ENDIAN + /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */ + outR = __SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA)); +#else + /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */ + outR = -(__SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA))); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMLAD(read_q15x2 (pSrc2), read_q15x2((q15_t *) pCoefB), outR) >> 16U; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ +#ifndef ARM_MATH_BIG_ENDIAN + outI = __SMUSDX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB)); +#else + outI = __SMUSDX(read_q15x2 ((q15_t *) pCoefB), read_q15x2_da (&pSrc2)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */ + outI = __SMLADX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), outI); + + /* write output */ + *pD1++ = (q15_t) outR; + *pD1++ = outI >> 16U; + + /* write complex conjugate output */ + pD2[0] = (q15_t) outR; + pD2[1] = -(outI >> 16U); + pD2 -= 2; + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1U; + pDst[2U * fftLen + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1U; + pDst[1] = 0; + +#else + + i = 1U; + + while (i < fftLen) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + outR = *pSrc1 * *pCoefA; + outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1)); + outR = outR + (*pSrc2 * *pCoefB); + outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16; + + /* + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + outI = *pSrc2 * *(pCoefB + 1); + outI = outI - (*(pSrc2 + 1) * *pCoefB); + outI = outI + (*(pSrc1 + 1) * *pCoefA); + outI = outI + (*pSrc1 * *(pCoefA + 1)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + pDst[2U * i] = (q15_t) outR; + pDst[2U * i + 1U] = outI >> 16U; + + /* write complex conjugate output */ + pDst[(4U * fftLen) - (2U * i)] = (q15_t) outR; + pDst[((4U * fftLen) - (2U * i)) + 1U] = -(outI >> 16U); + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + + i++; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[2U * fftLen + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; + +#endif /* #if defined (ARM_MATH_DSP) */ +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @brief Core Real IFFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + + @par + The function implements a Real IFFT + */ + +#if defined(ARM_MATH_MVEI) + +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + q15_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t const *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U - 14U]; + q15_t *pDst1 = &pDst[0]; + q15_t const *pVecSrc1; + q15_t *pVecDst1; + q15x8x2_t vecIn, vecSum; + uint32_t blkCnt; + uint16x8_t vecStridesFwd, vecStridesBkwd; + q15x8_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u16((uint32_t)0, 2); // 0, 2, 4, 6, 8, 10, 12, 14 + vecStridesBkwd = vddupq_u16(14, 2); // 14, 12, 10, 8, 6, 4, 2, 0 + vecStridesFwd = vecStridesFwd * (uint16_t) modifier; + + + pVecSrc1 = (q15_t const *) pSrc1; + pVecDst1 = pDst1; + + blkCnt = fftLen >> 3; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrhq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 16; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = -(*pSrc1++) * CoefA2; + */ + vecIn.val[0] = vnegq(vecIn.val[0]); + vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR += (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrhq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrhq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrhq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI += *pSrc2 * CoefA2; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst1, vecSum); + pVecDst1 += 16; + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (uint16_t)(modifier * 16U); + + /* cannot use negative 16-bit offsets (would lead to positive 32-65K jump*/ + //vecStridesBkwd = vecStridesBkwd - (uint16_t)16; + pSrc2 = pSrc2 - 16; + blkCnt--; + } +} +#else +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pATable, + const q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + const q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; + q15_t *pDst1 = &pDst[0]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + pSrc1 = &pSrc[0]; + pSrc2 = &pSrc[2 * fftLen]; + + i = fftLen; + while (i > 0U) + { + /* + outR = ( pIn[2 * i] * pATable[2 * i] + + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + - pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + +#if defined (ARM_MATH_DSP) + +#ifndef ARM_MATH_BIG_ENDIAN + /* pIn[2 * n - 2 * i] * pBTable[2 * i] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB)); +#else + /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */ + outR = -(__SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB))); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + pIn[2 * n - 2 * i] * pBTable[2 * i] */ + outR = __SMLAD(read_q15x2(pSrc1), read_q15x2 ((q15_t *) pCoefA), outR) >> 16U; + + /* -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + outI = __SMUADX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB)); + + /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */ +#ifndef ARM_MATH_BIG_ENDIAN + outI = __SMLSDX(read_q15x2 ((q15_t *) pCoefA), read_q15x2_ia (&pSrc1), -outI); +#else + outI = __SMLSDX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), -outI); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* write output */ +#ifndef ARM_MATH_BIG_ENDIAN + write_q15x2_ia (&pDst1, __PKHBT(outR, (outI >> 16U), 16)); +#else + write_q15x2_ia (&pDst1, __PKHBT((outI >> 16U), outR, 16)); +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + +#else /* #if defined (ARM_MATH_DSP) */ + + outR = *pSrc2 * *pCoefB; + outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1)); + outR = outR + (*pSrc1 * *pCoefA); + outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16; + + outI = *(pSrc1 + 1) * *pCoefA; + outI = outI - (*pSrc1 * *(pCoefA + 1)); + outI = outI - (*pSrc2 * *(pCoefB + 1)); + outI = outI - (*(pSrc2 + 1) * *(pCoefB)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + *pDst1++ = (q15_t) outR; + *pDst1++ = (q15_t) (outI >> 16); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* update coefficient pointer */ + pCoefB = pCoefB + (2 * modifier); + pCoefA = pCoefA + (2 * modifier); + + i--; + } + +} +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q31.c b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q31.c new file mode 100644 index 0000000..5103601 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/TransformFunctions/arm_rfft_q31.c @@ -0,0 +1,500 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_q31.c + * Description: FFT & RIFFT Q31 process function + * + * $Date: 18. March 2019 + * $Revision: V1.6.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +void arm_split_rfft_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pATable, + const q31_t * pBTable, + q31_t * pDst, + uint32_t modifier); + +void arm_split_rifft_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pATable, + const q31_t * pBTable, + q31_t * pDst, + uint32_t modifier); + +/** + @addtogroup RealFFT + @{ + */ + +/** + @brief Processing function for the Q31 RFFT/RIFFT. + @param[in] S points to an instance of the Q31 RFFT/RIFFT structure + @param[in] pSrc points to input buffer (Source buffer is modified by this function) + @param[out] pDst points to output buffer + @return none + + @par Input an output formats + Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + Hence the output format is different for different RFFT sizes. + The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: + @par + \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT" + @par + \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT" + @par + If the input buffer is of length N, the output buffer must have length 2*N. + The input buffer is modified by this function. + */ + +void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst) +{ +#if defined(ARM_MATH_MVEI) + const arm_cfft_instance_q31 *S_CFFT = &(S->cfftInst); +#else + const arm_cfft_instance_q31 *S_CFFT = S->pCfft; +#endif + uint32_t L2 = S->fftLenReal >> 1U; + uint32_t i; + + /* Calculation of RIFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + /* Complex IFFT process */ + arm_cfft_q31 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR); + + for(i = 0; i < S->fftLenReal; i++) + { + pDst[i] = pDst[i] << 1U; + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex FFT process */ + arm_cfft_q31 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR); + + /* Real FFT core process */ + arm_split_rfft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } + +} + +/** + @} end of RealFFT group + */ + +/** + @brief Core Real FFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +#if defined(ARM_MATH_MVEI) + +void arm_split_rfft_q31( + q31_t *pSrc, + uint32_t fftLen, + const q31_t *pATable, + const q31_t *pBTable, + q31_t *pDst, + uint32_t modifier) +{ + q31_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U]; /* temp pointers for output buffer */ + q31_t const *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U]; /* temp pointers for input buffer */ + q31_t const *pVecSrc1; + q31_t *pVecDst1; + q31x4x2_t vecIn, vecSum; + uint32_t blkCnt; + uint32x4_t vecStridesFwd, vecStridesBkwd; + q31x4_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u32((uint32_t)0, 2); + vecStridesBkwd = -vecStridesFwd; + vecStridesFwd = vecStridesFwd * modifier; + + pVecSrc1 = (q31_t const *) pSrc1; + pVecDst1 = pDst1; + + blkCnt = fftLen >> 2; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrwq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 8; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = *pSrc1++ * CoefA2; + */ + vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR -= (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqsubq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrwq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI -= *pSrc2 * CoefA2; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst1, vecSum); + pVecDst1 += 8; + /* + * write complex conjugate output + */ + vecSum.val[1] = -vecSum.val[1]; + vstrwq_scatter_shifted_offset(pDst2, vecStridesBkwd, vecSum.val[1]); + vstrwq_scatter_shifted_offset(&pDst2[-1], vecStridesBkwd, vecSum.val[0]); + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (modifier * 8U); + vecStridesBkwd = vecStridesBkwd - 8; + + blkCnt--; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; +} +#else +void arm_split_rfft_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pATable, + const q31_t * pBTable, + q31_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + const q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[4 * fftLen - 1]; + q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[2 * fftLen - 1]; + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2]; + pCoefB = &pBTable[modifier * 2]; + + i = fftLen - 1U; + + while (i > 0U) + { + /* + outR = ( pSrc[2 * i] * pATable[2 * i] + - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pSrc[2 * i] * pATable[2 * i] */ + mult_32x32_keep32_R (outR, *pIn1, CoefA1); + + /* outI = pIn[2 * i] * pATable[2 * i + 1] */ + mult_32x32_keep32_R (outI, *pIn1++, CoefA2); + + /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */ + multSub_32x32_keep32_R (outR, *pIn1, CoefA2); + + /* (pIn[2 * i + 1] * pATable[2 * i] */ + multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1); + + /* pSrc[2 * n - 2 * i] * pBTable[2 * i] */ + multSub_32x32_keep32_R (outR, *pIn2, CoefA2); + CoefB1 = *pCoefB; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ + multSub_32x32_keep32_R (outI, *pIn2--, CoefB1); + + /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ + multAcc_32x32_keep32_R (outR, *pIn2, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + multSub_32x32_keep32_R (outI, *pIn2--, CoefA2); + + /* write output */ + *pOut1++ = outR; + *pOut1++ = outI; + + /* write complex conjugate output */ + *pOut2-- = -outI; + *pOut2-- = outR; + + /* update coefficient pointer */ + pCoefB = pCoefB + (2 * modifier); + pCoefA = pCoefA + (2 * modifier - 1); + + /* Decrement loop count */ + i--; + } + + pDst[2 * fftLen] = (pSrc[0] - pSrc[1]) >> 1U; + pDst[2 * fftLen + 1] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1U; + pDst[1] = 0; +} +#endif /* defined(ARM_MATH_MVEI) */ + +/** + @brief Core Real IFFT process + @param[in] pSrc points to input buffer + @param[in] fftLen length of FFT + @param[in] pATable points to twiddle Coef A buffer + @param[in] pBTable points to twiddle Coef B buffer + @param[out] pDst points to output buffer + @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table + @return none + */ + +#if defined(ARM_MATH_MVEI) + +void arm_split_rifft_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pATable, + const q31_t * pBTable, + q31_t * pDst, + uint32_t modifier) +{ + q31_t const *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t const *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U]; + q31_t const *pVecSrc1; + q31_t *pVecDst; + q31x4x2_t vecIn, vecSum; + uint32_t blkCnt; + uint32x4_t vecStridesFwd, vecStridesBkwd; + q31x4_t vecInBkwd, vecCoefFwd0, vecCoefFwd1; + + + /* + * Init coefficient pointers + */ + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + /* + * scatter / gather offsets + * for ascending & descending addressing + */ + vecStridesFwd = vidupq_u32((uint32_t)0, 2); + vecStridesBkwd = -vecStridesFwd; + vecStridesFwd = vecStridesFwd * modifier; + + pVecSrc1 = (q31_t const *) pSrc1; + pVecDst = pDst; + + blkCnt = fftLen >> 2; + while (blkCnt > 0U) + { + vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefA, vecStridesFwd); + vecCoefFwd1 = vldrwq_gather_shifted_offset(&pCoefA[1], vecStridesFwd); + vecIn = vld2q(pVecSrc1); + pVecSrc1 += 8; + /* + * outR = *pSrc1 * CoefA1; + */ + vecSum.val[0] = vmulhq(vecIn.val[0], vecCoefFwd0); + /* + * outI = -(*pSrc1++) * CoefA2; + */ + vecIn.val[0] = (-vecIn.val[0]); + vecSum.val[1] = vmulhq(vecIn.val[0], vecCoefFwd1); + + vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outR += (*pSrc1 + *pSrc2) * CoefA2; + */ + vecInBkwd = vqaddq(vecIn.val[1], vecInBkwd); + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd1)); + + vecInBkwd = vldrwq_gather_shifted_offset(pSrc2, vecStridesBkwd); + /* + * outI += *pSrc1++ * CoefA1; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecIn.val[1], vecCoefFwd0)); + + vecCoefFwd0 = vldrwq_gather_shifted_offset(pCoefB, vecStridesFwd); + /* + * outI -= *pSrc2-- * CoefB1; + */ + vecSum.val[1] = vqsubq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd0)); + + vecInBkwd = vldrwq_gather_shifted_offset(&pSrc2[-1], vecStridesBkwd); + /* + * outI += *pSrc2-- * CoefA2;; + */ + vecSum.val[1] = vqaddq(vecSum.val[1], vmulhq(vecInBkwd, vecCoefFwd1)); + /* + * outR += *pSrc2-- * CoefB1; + */ + vecSum.val[0] = vqaddq(vecSum.val[0], vmulhq(vecInBkwd, vecCoefFwd0)); + + vst2q(pVecDst, vecSum); + pVecDst += 8; + /* + * update fwd and backwd offsets + */ + vecStridesFwd = vecStridesFwd + (modifier * 8U); + vecStridesBkwd = vecStridesBkwd - 8; + + blkCnt--; + } +} +#else +void arm_split_rifft_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pATable, + const q31_t * pBTable, + q31_t * pDst, + uint32_t modifier) +{ + q31_t outR, outI; /* Temporary variables for output */ + const q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[2 * fftLen + 1]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + while (fftLen > 0U) + { + /* + outR = ( pIn[2 * i] * pATable[2 * i] + + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = ( pIn[2 * i + 1] * pATable[2 * i] + - pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pIn[2 * i] * pATable[2 * i] */ + mult_32x32_keep32_R (outR, *pIn1, CoefA1); + + /* - pIn[2 * i] * pATable[2 * i + 1] */ + mult_32x32_keep32_R (outI, *pIn1++, -CoefA2); + + /* pIn[2 * i + 1] * pATable[2 * i + 1] */ + multAcc_32x32_keep32_R (outR, *pIn1, CoefA2); + + /* pIn[2 * i + 1] * pATable[2 * i] */ + multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1); + + /* pIn[2 * n - 2 * i] * pBTable[2 * i] */ + multAcc_32x32_keep32_R (outR, *pIn2, CoefA2); + CoefB1 = *pCoefB; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ + multSub_32x32_keep32_R (outI, *pIn2--, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ + multAcc_32x32_keep32_R (outR, *pIn2, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + multAcc_32x32_keep32_R (outI, *pIn2--, CoefA2); + + /* write output */ + *pDst++ = outR; + *pDst++ = outI; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2); + pCoefA = pCoefA + (modifier * 2 - 1); + + /* Decrement loop count */ + fftLen--; + } + +} + +#endif /* defined(ARM_MATH_MVEI) */ diff --git a/Firmware/cmsis/dsp/Source/configDsp.cmake b/Firmware/cmsis/dsp/Source/configDsp.cmake new file mode 100644 index 0000000..32c11a0 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/configDsp.cmake @@ -0,0 +1,37 @@ +function(configDsp project root) + +if (CONFIGTABLE) + # Public because initialization for FFT may be defined in client code + # and needs access to the table. + target_compile_definitions(${project} PUBLIC ARM_DSP_CONFIG_TABLES) +endif() + +if (LOOPUNROLL) + target_compile_definitions(${project} PRIVATE ARM_MATH_LOOPUNROLL) +endif() + +if (ROUNDING) + target_compile_definitions(${project} PRIVATE ARM_MATH_ROUNDING) +endif() + +if (MATRIXCHECK) + target_compile_definitions(${project} PRIVATE ARM_MATH_MATRIX_CHECK) +endif() + +if (AUTOVECTORIZE) + target_compile_definitions(${project} PRIVATE ARM_MATH_AUTOVECTORIZE) +endif() + +if (NEON OR NEONEXPERIMENTAL) + target_include_directories(${project} PRIVATE "${root}/CMSIS/DSP/ComputeLibrary/Include") +endif() + +if (FLOAT16) + target_compile_definitions(${project} PRIVATE ARM_MATH_FLOAT16) +endif() + +if (HELIUM OR MVEF OR SUPPORT) + target_include_directories(${project} PRIVATE "${root}/CMSIS/DSP/PrivateInclude") +endif() + +endfunction() diff --git a/Firmware/cmsis/dsp/Source/fft.cmake b/Firmware/cmsis/dsp/Source/fft.cmake new file mode 100644 index 0000000..2356c2b --- /dev/null +++ b/Firmware/cmsis/dsp/Source/fft.cmake @@ -0,0 +1,672 @@ +function(fft PROJECT) +####################################### +# +# CFFT F32 +# + + +if (CONFIGTABLE AND CFFT_F32_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048) +endif() +endif() + +if (CONFIGTABLE AND CFFT_F32_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +if (HELIUM OR MVEF) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096) +else() + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_4096) +endif() +endif() + + +####################################### +# +# CFFT F64 +# + + +if (CONFIGTABLE AND CFFT_F64_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16) +endif() + +if (CONFIGTABLE AND CFFT_F64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64) +endif() + +if (CONFIGTABLE AND CFFT_F64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64) +endif() + +if (CONFIGTABLE AND CFFT_F64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128) +endif() + +if (CONFIGTABLE AND CFFT_F64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256) +endif() + +if (CONFIGTABLE AND CFFT_F64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512) +endif() + +if (CONFIGTABLE AND CFFT_F64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024) +endif() + +if (CONFIGTABLE AND CFFT_F64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048) +endif() + +if (CONFIGTABLE AND CFFT_F64_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_4096) +endif() + +####################################### +# +# CFFT Q31 +# + +if (CONFIGTABLE AND CFFT_Q31_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) +endif() + +if (CONFIGTABLE AND CFFT_Q31_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32) +endif() + +if (CONFIGTABLE AND CFFT_Q31_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64) +endif() + +if (CONFIGTABLE AND CFFT_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128) +endif() + +if (CONFIGTABLE AND CFFT_Q31_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256) +endif() + +if (CONFIGTABLE AND CFFT_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512) +endif() + +if (CONFIGTABLE AND CFFT_Q31_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) +endif() + +if (CONFIGTABLE AND CFFT_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048) +endif() + +if (CONFIGTABLE AND CFFT_Q31_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096) +endif() + +####################################### +# +# CFFT Q15 +# + +if (CONFIGTABLE AND CFFT_Q15_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) +endif() + +if (CONFIGTABLE AND CFFT_Q15_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32) +endif() + +if (CONFIGTABLE AND CFFT_Q15_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64) +endif() + +if (CONFIGTABLE AND CFFT_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128) +endif() + +if (CONFIGTABLE AND CFFT_Q15_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256) +endif() + +if (CONFIGTABLE AND CFFT_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512) +endif() + +if (CONFIGTABLE AND CFFT_Q15_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) +endif() + +if (CONFIGTABLE AND CFFT_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048) +endif() + +if (CONFIGTABLE AND CFFT_Q15_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096) +endif() + +####################################### +# +# RFFT FAST F64 +# + +if (CONFIGTABLE AND RFFT_FAST_F64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_16) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_32) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_64) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_128) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_256) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_512) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_1024) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F64_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT64_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F64_2048) +endif() + +####################################### +# +# RFFT FAST F32 +# + +if (CONFIGTABLE AND RFFT_FAST_F32_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_16) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_32) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_64) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_128) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_256) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_512) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_1024) +endif() + +if (CONFIGTABLE AND RFFT_FAST_F32_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FLT_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_2048) +endif() + +####################################### +# +# RFFT F32 +# + +if (CONFIGTABLE AND RFFT_F32_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND RFFT_F32_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +####################################### +# +# RFFT Q31 +# + +if (CONFIGTABLE AND RFFT_Q31_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) +endif() + +if (CONFIGTABLE AND RFFT_Q31_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32) +endif() + +if (CONFIGTABLE AND RFFT_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64) +endif() + +if (CONFIGTABLE AND RFFT_Q31_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128) +endif() + +if (CONFIGTABLE AND RFFT_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256) +endif() + +if (CONFIGTABLE AND RFFT_Q31_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512) +endif() + +if (CONFIGTABLE AND RFFT_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) +endif() + +if (CONFIGTABLE AND RFFT_Q31_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048) +endif() + +if (CONFIGTABLE AND RFFT_Q31_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096) +endif() + +####################################### +# +# RFFT FAST Q15 +# + +if (CONFIGTABLE AND RFFT_Q15_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_16) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_16) +endif() + +if (CONFIGTABLE AND RFFT_Q15_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_32) +endif() + +if (CONFIGTABLE AND RFFT_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_64) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_64) +endif() + +if (CONFIGTABLE AND RFFT_Q15_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_128) +endif() + +if (CONFIGTABLE AND RFFT_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_256) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_256) +endif() + +if (CONFIGTABLE AND RFFT_Q15_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_512) +endif() + +if (CONFIGTABLE AND RFFT_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_1024) +endif() + +if (CONFIGTABLE AND RFFT_Q15_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_2048) +endif() + +if (CONFIGTABLE AND RFFT_Q15_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREVIDX_FXT_4096) +endif() + +####################################### +# +# DCT4 F32 +# + +if (CONFIGTABLE AND DCT4_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND DCT4_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND DCT4_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +if (CONFIGTABLE AND DCT4_F32_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_F32_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_F32) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_F32_4096) +endif() + +####################################### +# +# DCT4 Q31 +# + +if (CONFIGTABLE AND DCT4_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q31_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q31_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q31) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q31_4096) +endif() + +####################################### +# +# DCT4 Q15 +# + +if (CONFIGTABLE AND DCT4_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_128) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_512) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_2048) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) +endif() + +if (CONFIGTABLE AND DCT4_Q15_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_DCT4_Q15_8192) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_REALCOEF_Q15) + + # For cfft_radix4_init + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_BITREV_1024) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_TWIDDLECOEF_Q15_4096) +endif() + +endfunction() \ No newline at end of file diff --git a/Firmware/cmsis/dsp/Source/interpol.cmake b/Firmware/cmsis/dsp/Source/interpol.cmake new file mode 100644 index 0000000..2538d91 --- /dev/null +++ b/Firmware/cmsis/dsp/Source/interpol.cmake @@ -0,0 +1,51 @@ +function(interpol PROJECT) + +if (CONFIGTABLE AND ARM_COS_F32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32) +endif() + +if (CONFIGTABLE AND ARM_COS_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31) +endif() + +if (CONFIGTABLE AND ARM_COS_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q15) +endif() + +if (CONFIGTABLE AND ARM_SIN_F32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32) +endif() + +if (CONFIGTABLE AND ARM_SIN_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31) +endif() + +if (CONFIGTABLE AND ARM_SIN_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q15) +endif() + +if (CONFIGTABLE AND ARM_SIN_COS_F32) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_F32) +endif() + +if (CONFIGTABLE AND ARM_SIN_COS_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_SIN_Q31) +endif() + +if (CONFIGTABLE AND ARM_LMS_NORM_Q31) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_RECIP_Q31) +endif() + +if (CONFIGTABLE AND ARM_LMS_NORM_Q15) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_RECIP_Q15) +endif() + +if (CONFIGTABLE AND ARM_CMPLX_MAG_Q31 AND (MVEI OR HELIUM)) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_FAST_SQRT_Q31_MVE) +endif() + +if (CONFIGTABLE AND ARM_CMPLX_MAG_Q15 AND (MVEI OR HELIUM)) + target_compile_definitions(${PROJECT} PUBLIC ARM_TABLE_FAST_SQRT_Q15_MVE) +endif() + +endfunction() \ No newline at end of file diff --git a/Firmware/cmsis/dsp/include/arm_common_tables.h b/Firmware/cmsis/dsp/include/arm_common_tables.h new file mode 100644 index 0000000..721b18d --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_common_tables.h @@ -0,0 +1,517 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.h + * Description: Extern declaration for common tables + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_COMMON_TABLES_H +#define _ARM_COMMON_TABLES_H + +#include "arm_math.h" + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + /* Double Precision Float CFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024) + extern const uint16_t armBitRevTable[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16) + extern const uint64_t twiddleCoefF64_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32) + extern const uint64_t twiddleCoefF64_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64) + extern const uint64_t twiddleCoefF64_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128) + extern const uint64_t twiddleCoefF64_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256) + extern const uint64_t twiddleCoefF64_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512) + extern const uint64_t twiddleCoefF64_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024) + extern const uint64_t twiddleCoefF64_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048) + extern const uint64_t twiddleCoefF64_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096) + extern const uint64_t twiddleCoefF64_4096[8192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) + extern const float32_t twiddleCoef_16[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + extern const float32_t twiddleCoef_32[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) + extern const float32_t twiddleCoef_64[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + extern const float32_t twiddleCoef_128[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) + extern const float32_t twiddleCoef_256[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + extern const float32_t twiddleCoef_512[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) + extern const float32_t twiddleCoef_1024[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + extern const float32_t twiddleCoef_2048[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) + extern const float32_t twiddleCoef_4096[8192]; + #define twiddleCoef twiddleCoef_4096 + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) + extern const q31_t twiddleCoef_16_q31[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + extern const q31_t twiddleCoef_32_q31[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) + extern const q31_t twiddleCoef_64_q31[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + extern const q31_t twiddleCoef_128_q31[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) + extern const q31_t twiddleCoef_256_q31[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + extern const q31_t twiddleCoef_512_q31[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) + extern const q31_t twiddleCoef_1024_q31[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + extern const q31_t twiddleCoef_2048_q31[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) + extern const q31_t twiddleCoef_4096_q31[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) + extern const q15_t twiddleCoef_16_q15[24]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + extern const q15_t twiddleCoef_32_q15[48]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) + extern const q15_t twiddleCoef_64_q15[96]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + extern const q15_t twiddleCoef_128_q15[192]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) + extern const q15_t twiddleCoef_256_q15[384]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + extern const q15_t twiddleCoef_512_q15[768]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) + extern const q15_t twiddleCoef_1024_q15[1536]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + extern const q15_t twiddleCoef_2048_q15[3072]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) + extern const q15_t twiddleCoef_4096_q15[6144]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + /* Double Precision Float RFFT twiddles */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32) + extern const uint64_t twiddleCoefF64_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64) + extern const uint64_t twiddleCoefF64_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128) + extern const uint64_t twiddleCoefF64_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256) + extern const uint64_t twiddleCoefF64_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512) + extern const uint64_t twiddleCoefF64_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024) + extern const uint64_t twiddleCoefF64_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048) + extern const uint64_t twiddleCoefF64_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096) + extern const uint64_t twiddleCoefF64_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32) + extern const float32_t twiddleCoef_rfft_32[32]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64) + extern const float32_t twiddleCoef_rfft_64[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128) + extern const float32_t twiddleCoef_rfft_128[128]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256) + extern const float32_t twiddleCoef_rfft_256[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512) + extern const float32_t twiddleCoef_rfft_512[512]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024) + extern const float32_t twiddleCoef_rfft_1024[1024]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048) + extern const float32_t twiddleCoef_rfft_2048[2048]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096) + extern const float32_t twiddleCoef_rfft_4096[4096]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* Double precision floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16) + #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32) + #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64) + #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128) + #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256) + #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512) + #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024) + #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048) + #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096) + #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + /* floating-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16) + #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20) + extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32) + #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48) + extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64) + #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128) + #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208) + extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256) + #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440) + extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512) + #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448) + extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024) + #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800) + extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048) + #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808) + extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096) + #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + + /* fixed-point bit reversal tables */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16) + #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12) + extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32) + #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24) + extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64) + #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56) + extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128) + #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112) + extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256) + #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240) + extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512) + #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480) + extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024) + #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992) + extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048) + #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984) + extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096) + #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032) + extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32) + extern const float32_t realCoefA[8192]; + extern const float32_t realCoefB[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31) + extern const q31_t realCoefAQ31[8192]; + extern const q31_t realCoefBQ31[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15) + extern const q15_t realCoefAQ15[8192]; + extern const q15_t realCoefBQ15[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128) + extern const float32_t Weights_128[256]; + extern const float32_t cos_factors_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512) + extern const float32_t Weights_512[1024]; + extern const float32_t cos_factors_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048) + extern const float32_t Weights_2048[4096]; + extern const float32_t cos_factors_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192) + extern const float32_t Weights_8192[16384]; + extern const float32_t cos_factors_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128) + extern const q15_t WeightsQ15_128[256]; + extern const q15_t cos_factorsQ15_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512) + extern const q15_t WeightsQ15_512[1024]; + extern const q15_t cos_factorsQ15_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048) + extern const q15_t WeightsQ15_2048[4096]; + extern const q15_t cos_factorsQ15_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192) + extern const q15_t WeightsQ15_8192[16384]; + extern const q15_t cos_factorsQ15_8192[8192]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128) + extern const q31_t WeightsQ31_128[256]; + extern const q31_t cos_factorsQ31_128[128]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) + extern const q31_t WeightsQ31_512[1024]; + extern const q31_t cos_factorsQ31_512[512]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) + extern const q31_t WeightsQ31_2048[4096]; + extern const q31_t cos_factorsQ31_2048[2048]; + #endif + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) + extern const q31_t WeightsQ31_8192[16384]; + extern const q31_t cos_factorsQ31_8192[8192]; + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */ + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES) + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15) + extern const q15_t armRecipTableQ15[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31) + extern const q31_t armRecipTableQ31[64]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + /* Tables for Fast Math Sine and Cosine */ + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32) + extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31) + extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15) + extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) + extern const q31_t sqrtTable_Q31[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + + #if defined(ARM_MATH_MVEI) + #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) + extern const q15_t sqrtTable_Q15[256]; + #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */ + #endif + +#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */ + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + extern const float32_t exp_tab[8]; + extern const float32_t __logf_lut_f32[8]; +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +extern const unsigned char hwLUT[256]; +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#endif /* ARM_COMMON_TABLES_H */ + diff --git a/Firmware/cmsis/dsp/include/arm_const_structs.h b/Firmware/cmsis/dsp/include/arm_const_structs.h new file mode 100644 index 0000000..83984c4 --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_const_structs.h @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.h + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() function. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_CONST_STRUCTS_H +#define _ARM_CONST_STRUCTS_H + +#include "arm_math.h" +#include "arm_common_tables.h" + + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048; + extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096; + + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096; + + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048; + extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096; + + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048; + extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096; + +#endif diff --git a/Firmware/cmsis/dsp/include/arm_helium_utils.h b/Firmware/cmsis/dsp/include/arm_helium_utils.h new file mode 100644 index 0000000..8568857 --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_helium_utils.h @@ -0,0 +1,348 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_helium_utils.h + * Description: Utility functions for Helium development + * + * $Date: 09. September 2019 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_UTILS_HELIUM_H_ +#define _ARM_UTILS_HELIUM_H_ + +/*************************************** + +Definitions available for MVEF and MVEI + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) + +#define INACTIVELANE 0 /* inactive lane content */ + + +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) */ + +/*************************************** + +Definitions available for MVEF only + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) + +__STATIC_FORCEINLINE float32_t vecAddAcrossF32Mve(float32x4_t in) +{ + float32_t acc; + + acc = vgetq_lane(in, 0) + vgetq_lane(in, 1) + + vgetq_lane(in, 2) + vgetq_lane(in, 3); + + return acc; +} + +/* newton initial guess */ +#define INVSQRT_MAGIC_F32 0x5f3759df + +#define INVSQRT_NEWTON_MVE_F32(invSqrt, xHalf, xStart)\ +{ \ + float32x4_t tmp; \ + \ + /* tmp = xhalf * x * x */ \ + tmp = vmulq(xStart, xStart); \ + tmp = vmulq(tmp, xHalf); \ + /* (1.5f - xhalf * x * x) */ \ + tmp = vsubq(vdupq_n_f32(1.5f), tmp); \ + /* x = x*(1.5f-xhalf*x*x); */ \ + invSqrt = vmulq(tmp, xStart); \ +} +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) */ + +/*************************************** + +Definitions available for MVEI only + +***************************************/ +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) + + +#include "arm_common_tables.h" + +/* Following functions are used to transpose matrix in f32 and q31 cases */ +__STATIC_INLINE arm_status arm_mat_trans_32bit_2x2_mve( + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + static const uint32x4_t vecOffs = { 0, 2, 1, 3 }; + /* + * + * | 0 1 | => | 0 2 | + * | 2 3 | | 1 3 | + * + */ + uint32x4_t vecIn = vldrwq_u32((uint32_t const *)pDataSrc); + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs, vecIn); + + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_trans_32bit_3x3_mve( + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + const uint32x4_t vecOffs1 = { 0, 3, 6, 1}; + const uint32x4_t vecOffs2 = { 4, 7, 2, 5}; + /* + * + * | 0 1 2 | | 0 3 6 | 4 x 32 flattened version | 0 3 6 1 | + * | 3 4 5 | => | 1 4 7 | => | 4 7 2 5 | + * | 6 7 8 | | 2 5 8 | (row major) | 8 . . . | + * + */ + uint32x4_t vecIn1 = vldrwq_u32((uint32_t const *) pDataSrc); + uint32x4_t vecIn2 = vldrwq_u32((uint32_t const *) &pDataSrc[4]); + + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs1, vecIn1); + vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs2, vecIn2); + + pDataDest[8] = pDataSrc[8]; + + return (ARM_MATH_SUCCESS); +} + +__STATIC_INLINE arm_status arm_mat_trans_32bit_4x4_mve(uint32_t * pDataSrc, uint32_t * pDataDest) +{ + /* + * 4x4 Matrix transposition + * is 4 x de-interleave operation + * + * 0 1 2 3 0 4 8 12 + * 4 5 6 7 1 5 9 13 + * 8 9 10 11 2 6 10 14 + * 12 13 14 15 3 7 11 15 + */ + + uint32x4x4_t vecIn; + + vecIn = vld4q((uint32_t const *) pDataSrc); + vstrwq(pDataDest, vecIn.val[0]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[1]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[2]); + pDataDest += 4; + vstrwq(pDataDest, vecIn.val[3]); + + return (ARM_MATH_SUCCESS); +} + + +__STATIC_INLINE arm_status arm_mat_trans_32bit_generic_mve( + uint16_t srcRows, + uint16_t srcCols, + uint32_t * pDataSrc, + uint32_t * pDataDest) +{ + uint32x4_t vecOffs; + uint32_t i; + uint32_t blkCnt; + uint32_t const *pDataC; + uint32_t *pDataDestR; + uint32x4_t vecIn; + + vecOffs = vidupq_u32((uint32_t)0, 1); + vecOffs = vecOffs * srcCols; + + i = srcCols; + do + { + pDataC = (uint32_t const *) pDataSrc; + pDataDestR = pDataDest; + + blkCnt = srcRows >> 2; + while (blkCnt > 0U) + { + vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); + vstrwq(pDataDestR, vecIn); + pDataDestR += 4; + pDataC = pDataC + srcCols * 4; + /* + * Decrement the blockSize loop counter + */ + blkCnt--; + } + + /* + * tail + */ + blkCnt = srcRows & 3; + if (blkCnt > 0U) + { + mve_pred16_t p0 = vctp32q(blkCnt); + vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs); + vstrwq_p(pDataDestR, vecIn, p0); + } + + pDataSrc += 1; + pDataDest += srcRows; + } + while (--i); + + return (ARM_MATH_SUCCESS); +} + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE) +__STATIC_INLINE q31x4_t FAST_VSQRT_Q31(q31x4_t vecIn) +{ + q63x2_t vecTmpLL; + q31x4_t vecTmp0, vecTmp1; + q31_t scale; + q63_t tmp64; + q31x4_t vecNrm, vecDst, vecIdx, vecSignBits; + + + vecSignBits = vclsq(vecIn); + vecSignBits = vbicq(vecSignBits, 1); + /* + * in = in << no_of_sign_bits; + */ + vecNrm = vshlq(vecIn, vecSignBits); + /* + * index = in >> 24; + */ + vecIdx = vecNrm >> 24; + vecIdx = vecIdx << 1; + + vecTmp0 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx); + + vecIdx = vecIdx + 1; + + vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx); + + vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); + vecTmp0 = vecTmp0 - vecTmp1; + vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); + vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); + vecTmp1 = vdupq_n_s32(0x18000000) - vecTmp1; + vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); + vecTmpLL = vmullbq_int(vecNrm, vecTmp0); + + /* + * scale elements 0, 2 + */ + scale = 26 + (vecSignBits[0] >> 1); + tmp64 = asrl(vecTmpLL[0], scale); + vecDst[0] = (q31_t) tmp64; + + scale = 26 + (vecSignBits[2] >> 1); + tmp64 = asrl(vecTmpLL[1], scale); + vecDst[2] = (q31_t) tmp64; + + vecTmpLL = vmulltq_int(vecNrm, vecTmp0); + + /* + * scale elements 1, 3 + */ + scale = 26 + (vecSignBits[1] >> 1); + tmp64 = asrl(vecTmpLL[0], scale); + vecDst[1] = (q31_t) tmp64; + + scale = 26 + (vecSignBits[3] >> 1); + tmp64 = asrl(vecTmpLL[1], scale); + vecDst[3] = (q31_t) tmp64; + /* + * set negative values to 0 + */ + vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s32(vecIn, 0)); + + return vecDst; +} +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE) +__STATIC_INLINE q15x8_t FAST_VSQRT_Q15(q15x8_t vecIn) +{ + q31x4_t vecTmpLev, vecTmpLodd, vecSignL; + q15x8_t vecTmp0, vecTmp1; + q15x8_t vecNrm, vecDst, vecIdx, vecSignBits; + + vecDst = vuninitializedq_s16(); + + vecSignBits = vclsq(vecIn); + vecSignBits = vbicq(vecSignBits, 1); + /* + * in = in << no_of_sign_bits; + */ + vecNrm = vshlq(vecIn, vecSignBits); + + vecIdx = vecNrm >> 8; + vecIdx = vecIdx << 1; + + vecTmp0 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx); + + vecIdx = vecIdx + 1; + + vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx); + + vecTmp1 = vqrdmulhq(vecTmp1, vecNrm); + vecTmp0 = vecTmp0 - vecTmp1; + vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0); + vecTmp1 = vqrdmulhq(vecNrm, vecTmp1); + vecTmp1 = vdupq_n_s16(0x1800) - vecTmp1; + vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1); + + vecSignBits = vecSignBits >> 1; + + vecTmpLev = vmullbq_int(vecNrm, vecTmp0); + vecTmpLodd = vmulltq_int(vecNrm, vecTmp0); + + vecTmp0 = vecSignBits + 10; + /* + * negate sign to apply register based vshl + */ + vecTmp0 = -vecTmp0; + + /* + * shift even elements + */ + vecSignL = vmovlbq(vecTmp0); + vecTmpLev = vshlq(vecTmpLev, vecSignL); + /* + * shift odd elements + */ + vecSignL = vmovltq(vecTmp0); + vecTmpLodd = vshlq(vecTmpLodd, vecSignL); + /* + * merge and narrow odd and even parts + */ + vecDst = vmovnbq_s32(vecDst, vecTmpLev); + vecDst = vmovntq_s32(vecDst, vecTmpLodd); + /* + * set negative values to 0 + */ + vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s16(vecIn, 0)); + + return vecDst; +} +#endif + +#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) */ + +#endif diff --git a/Firmware/cmsis/dsp/include/arm_math.h b/Firmware/cmsis/dsp/include/arm_math.h new file mode 100644 index 0000000..2483e6e --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_math.h @@ -0,0 +1,8970 @@ +/****************************************************************************** + * @file arm_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 18. March 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/** + \mainpage CMSIS DSP Software Library + * + * Introduction + * ------------ + * + * This user manual describes the CMSIS DSP software library, + * a suite of common signal processing functions for use on Cortex-M and Cortex-A processor + * based devices. + * + * The library is divided into a number of functions each covering a specific category: + * - Basic math functions + * - Fast math functions + * - Complex math functions + * - Filtering functions + * - Matrix functions + * - Transform functions + * - Motor control functions + * - Statistical functions + * - Support functions + * - Interpolation functions + * - Support Vector Machine functions (SVM) + * - Bayes classifier functions + * - Distance functions + * + * The library has generally separate functions for operating on 8-bit integers, 16-bit integers, + * 32-bit integer and 32-bit floating-point values. + * + * Using the Library + * ------------ + * + * The library installer contains prebuilt versions of the libraries in the Lib folder. + * + * Here is the list of pre-built libraries : + * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit) + * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit) + * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit) + * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on) + * - arm_cortexM7l_math.lib (Cortex-M7, Little endian) + * - arm_cortexM7b_math.lib (Cortex-M7, Big endian) + * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit) + * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit) + * - arm_cortexM4l_math.lib (Cortex-M4, Little endian) + * - arm_cortexM4b_math.lib (Cortex-M4, Big endian) + * - arm_cortexM3l_math.lib (Cortex-M3, Little endian) + * - arm_cortexM3b_math.lib (Cortex-M3, Big endian) + * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian) + * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian) + * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian) + * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian) + * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit) + * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions) + * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit) + * + * The library functions are declared in the public file arm_math.h which is placed in the Include folder. + * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single + * public header file arm_math.h for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants. + * + * + * Examples + * -------- + * + * The library ships with a number of examples which demonstrate how to use the library functions. + * + * Toolchain Support + * ------------ + * + * The library is now tested on Fast Models building with cmake. + * Core M0, M7, A5 are tested. + * + * + * + * Building the Library + * ------------ + * + * The library installer contains a project file to rebuild libraries on MDK toolchain in the CMSIS\\DSP\\Projects\\ARM folder. + * - arm_cortexM_math.uvprojx + * + * + * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above. + * + * There is also a work in progress cmake build. The README file is giving more details. + * + * Preprocessor Macros + * ------------ + * + * Each library project have different preprocessor macros. + * + * - ARM_MATH_BIG_ENDIAN: + * + * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets. + * + * - ARM_MATH_MATRIX_CHECK: + * + * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices + * + * - ARM_MATH_ROUNDING: + * + * Define macro ARM_MATH_ROUNDING for rounding on support functions + * + * - ARM_MATH_LOOPUNROLL: + * + * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions + * + * - ARM_MATH_NEON: + * + * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions. + * It is not enabled by default when Neon is available because performances are + * dependent on the compiler and target architecture. + * + * - ARM_MATH_NEON_EXPERIMENTAL: + * + * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of + * of some DSP functions. Experimental Neon versions currently do not have better + * performances than the scalar versions. + * + * - ARM_MATH_HELIUM: + * + * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_FLOAT16. + * + * - ARM_MATH_MVEF: + * + * Select Helium versions of the f32 algorithms. + * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI. + * + * - ARM_MATH_MVEI: + * + * Select Helium versions of the int and fixed point algorithms. + * + * - ARM_MATH_FLOAT16: + * + * Float16 implementations of some algorithms (Requires MVE extension). + * + *
+ * CMSIS-DSP in ARM::CMSIS Pack + * ----------------------------- + * + * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories: + * |File/Folder |Content | + * |---------------------------------|------------------------------------------------------------------------| + * |\b CMSIS\\Documentation\\DSP | This documentation | + * |\b CMSIS\\DSP\\DSP_Lib_TestSuite | DSP_Lib test suite | + * |\b CMSIS\\DSP\\Examples | Example projects demonstrating the usage of the library functions | + * |\b CMSIS\\DSP\\Include | DSP_Lib include files | + * |\b CMSIS\\DSP\\Lib | DSP_Lib binaries | + * |\b CMSIS\\DSP\\Projects | Projects to rebuild DSP_Lib binaries | + * |\b CMSIS\\DSP\\Source | DSP_Lib source files | + * + *
+ * Revision History of CMSIS-DSP + * ------------ + * Please refer to \ref ChangeLog_pg. + */ + + +/** + * @defgroup groupMath Basic Math Functions + */ + +/** + * @defgroup groupFastMath Fast Math Functions + * This set of functions provides a fast approximation to sine, cosine, and square root. + * As compared to most of the other functions in the CMSIS math library, the fast math functions + * operate on individual values and not arrays. + * There are separate functions for Q15, Q31, and floating-point data. + * + */ + +/** + * @defgroup groupCmplxMath Complex Math Functions + * This set of functions operates on complex data vectors. + * The data in the complex arrays is stored in an interleaved fashion + * (real, imag, real, imag, ...). + * In the API functions, the number of samples in a complex array refers + * to the number of complex values; the array contains twice this number of + * real values. + */ + +/** + * @defgroup groupFilters Filtering Functions + */ + +/** + * @defgroup groupMatrix Matrix Functions + * + * This set of functions provides basic matrix math operations. + * The functions operate on matrix data structures. For example, + * the type + * definition for the floating-point matrix structure is shown + * below: + * 
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types. + * + * The structure specifies the size of the matrix and then points to + * an array of data. The array is of size numRows X numCols + * and the values are arranged in row order. That is, the + * matrix element (i, j) is stored at: + * 
+ *     pData[i*numCols + j]
+ *
+ * + * \par Init Functions + * There is an associated initialization function for each type of matrix + * data structure. + * The initialization function sets the values of the internal structure fields. + * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15() + * for floating-point, Q31 and Q15 types, respectively. + * + * \par + * Use of the initialization function is optional. However, if initialization function is used + * then the instance structure cannot be placed into a const data section. + * To place the instance structure in a const data + * section, manually initialize the data structure. For example: + * 
+ * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
+ *
+ * where nRows specifies the number of rows, nColumns + * specifies the number of columns, and pData points to the + * data array. + * + * \par Size Checking + * By default all of the matrix functions perform size checking on the input and + * output matrices. For example, the matrix addition function verifies that the + * two input matrices and the output matrix all have the same number of rows and + * columns. If the size check fails the functions return: + * 
+ *     ARM_MATH_SIZE_MISMATCH
+ *
+ * Otherwise the functions return + * 
+ *     ARM_MATH_SUCCESS
+ *
+ * There is some overhead associated with this matrix size checking. + * The matrix size checking is enabled via the \#define + * 
+ *     ARM_MATH_MATRIX_CHECK
+ *
+ * within the library project settings. By default this macro is defined + * and size checking is enabled. By changing the project settings and + * undefining this macro size checking is eliminated and the functions + * run a bit faster. With size checking disabled the functions always + * return ARM_MATH_SUCCESS. + */ + +/** + * @defgroup groupTransforms Transform Functions + */ + +/** + * @defgroup groupController Controller Functions + */ + +/** + * @defgroup groupStats Statistics Functions + */ + +/** + * @defgroup groupSupport Support Functions + */ + +/** + * @defgroup groupInterpolation Interpolation Functions + * These functions perform 1- and 2-dimensional interpolation of data. + * Linear interpolation is used for 1-dimensional data and + * bilinear interpolation is used for 2-dimensional data. + */ + +/** + * @defgroup groupExamples Examples + */ + +/** + * @defgroup groupSVM SVM Functions + * This set of functions is implementing SVM classification on 2 classes. + * The training must be done from scikit-learn. The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/SVM.py + * + * If more than 2 classes are needed, the functions in this folder + * will have to be used, as building blocks, to do multi-class classification. + * + * No multi-class classification is provided in this SVM folder. + * + */ + + +/** + * @defgroup groupBayes Bayesian estimators + * + * Implement the naive gaussian Bayes estimator. + * The training must be done from scikit-learn. + * + * The parameters can be easily + * generated from the scikit-learn object. Some examples are given in + * DSP/Testing/PatternGeneration/Bayes.py + */ + +/** + * @defgroup groupDistance Distance functions + * + * Distance functions for use with clustering algorithms. + * There are distance functions for float vectors and boolean vectors. + * + */ + + +#ifndef _ARM_MATH_H +#define _ARM_MATH_H + +#ifdef __cplusplus +extern "C" +{ +#endif + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) + #pragma GCC diagnostic push + #pragma GCC diagnostic ignored "-Wsign-conversion" + #pragma GCC diagnostic ignored "-Wconversion" + #pragma GCC diagnostic ignored "-Wunused-parameter" + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + + +/* Included for instrinsics definitions */ +#if defined (_MSC_VER ) +#include +#define __STATIC_FORCEINLINE static __forceinline +#define __STATIC_INLINE static __inline +#define __ALIGNED(x) __declspec(align(x)) + +#elif defined (__GNUC_PYTHON__) +#include +#define __ALIGNED(x) __attribute__((aligned(x))) +#define __STATIC_FORCEINLINE static __attribute__((inline)) +#define __STATIC_INLINE static __attribute__((inline)) +#pragma GCC diagnostic ignored "-Wunused-function" +#pragma GCC diagnostic ignored "-Wattributes" + +#else +#include "cmsis_compiler.h" +#endif + + + +#include +#include +#include +#include + + +#define F64_MAX ((float64_t)DBL_MAX) +#define F32_MAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MAX ((float16_t)FLT_MAX) +#endif + +#define F64_MIN (-DBL_MAX) +#define F32_MIN (-FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_MIN (-(float16_t)FLT_MAX) +#endif + +#define F64_ABSMAX ((float64_t)DBL_MAX) +#define F32_ABSMAX ((float32_t)FLT_MAX) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMAX ((float16_t)FLT_MAX) +#endif + +#define F64_ABSMIN ((float64_t)0.0) +#define F32_ABSMIN ((float32_t)0.0) + +#if defined(ARM_MATH_FLOAT16) +#define F16_ABSMIN ((float16_t)0.0) +#endif + +#define Q31_MAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_MAX ((q15_t)(0x7FFF)) +#define Q7_MAX ((q7_t)(0x7F)) +#define Q31_MIN ((q31_t)(0x80000000L)) +#define Q15_MIN ((q15_t)(0x8000)) +#define Q7_MIN ((q7_t)(0x80)) + +#define Q31_ABSMAX ((q31_t)(0x7FFFFFFFL)) +#define Q15_ABSMAX ((q15_t)(0x7FFF)) +#define Q7_ABSMAX ((q7_t)(0x7F)) +#define Q31_ABSMIN ((q31_t)0) +#define Q15_ABSMIN ((q15_t)0) +#define Q7_ABSMIN ((q7_t)0) + +/* evaluate ARM DSP feature */ +#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)) + #define ARM_MATH_DSP 1 +#endif + +#if defined(ARM_MATH_NEON) +#include +#endif + +#if defined (ARM_MATH_HELIUM) + #define ARM_MATH_MVEF + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_MVEF) + #define ARM_MATH_MVEI + #define ARM_MATH_FLOAT16 +#endif + +#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) +#include +#endif + + + /** + * @brief Macros required for reciprocal calculation in Normalized LMS + */ + +#define DELTA_Q31 ((q31_t)(0x100)) +#define DELTA_Q15 ((q15_t)0x5) +#define INDEX_MASK 0x0000003F +#ifndef PI + #define PI 3.14159265358979f +#endif + + /** + * @brief Macros required for SINE and COSINE Fast math approximations + */ + +#define FAST_MATH_TABLE_SIZE 512 +#define FAST_MATH_Q31_SHIFT (32 - 10) +#define FAST_MATH_Q15_SHIFT (16 - 10) +#define CONTROLLER_Q31_SHIFT (32 - 9) +#define TABLE_SPACING_Q31 0x400000 +#define TABLE_SPACING_Q15 0x80 + + /** + * @brief Macros required for SINE and COSINE Controller functions + */ + /* 1.31(q31) Fixed value of 2/360 */ + /* -1 to +1 is divided into 360 values so total spacing is (2/360) */ +#define INPUT_SPACING 0xB60B61 + + /** + * @brief Macros for complex numbers + */ + + /* Dimension C vector space */ + #define CMPLX_DIM 2 + + /** + * @brief Error status returned by some functions in the library. + */ + + typedef enum + { + ARM_MATH_SUCCESS = 0, /**< No error */ + ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */ + ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */ + ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation */ + ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */ + ARM_MATH_SINGULAR = -5, /**< Input matrix is singular and cannot be inverted */ + ARM_MATH_TEST_FAILURE = -6 /**< Test Failed */ + } arm_status; + + /** + * @brief 8-bit fractional data type in 1.7 format. + */ + typedef int8_t q7_t; + + /** + * @brief 16-bit fractional data type in 1.15 format. + */ + typedef int16_t q15_t; + + /** + * @brief 32-bit fractional data type in 1.31 format. + */ + typedef int32_t q31_t; + + /** + * @brief 64-bit fractional data type in 1.63 format. + */ + typedef int64_t q63_t; + + /** + * @brief 32-bit floating-point type definition. + */ + typedef float float32_t; + + /** + * @brief 64-bit floating-point type definition. + */ + typedef double float64_t; + + /** + * @brief vector types + */ +#if defined(ARM_MATH_NEON) || defined (ARM_MATH_MVEI) + /** + * @brief 64-bit fractional 128-bit vector data type in 1.63 format + */ + typedef int64x2_t q63x2_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 1.31 format. + */ + typedef int32x4_t q31x4_t; + + /** + * @brief 16-bit fractional 128-bit vector data type with 16-bit alignement in 1.15 format. + */ + typedef __ALIGNED(2) int16x8_t q15x8_t; + + /** + * @brief 8-bit fractional 128-bit vector data type with 8-bit alignement in 1.7 format. + */ + typedef __ALIGNED(1) int8x16_t q7x16_t; + + /** + * @brief 32-bit fractional 128-bit vector pair data type in 1.31 format. + */ + typedef int32x4x2_t q31x4x2_t; + + /** + * @brief 32-bit fractional 128-bit vector quadruplet data type in 1.31 format. + */ + typedef int32x4x4_t q31x4x4_t; + + /** + * @brief 16-bit fractional 128-bit vector pair data type in 1.15 format. + */ + typedef int16x8x2_t q15x8x2_t; + + /** + * @brief 16-bit fractional 128-bit vector quadruplet data type in 1.15 format. + */ + typedef int16x8x4_t q15x8x4_t; + + /** + * @brief 8-bit fractional 128-bit vector pair data type in 1.7 format. + */ + typedef int8x16x2_t q7x16x2_t; + + /** + * @brief 8-bit fractional 128-bit vector quadruplet data type in 1.7 format. + */ + typedef int8x16x4_t q7x16x4_t; + + /** + * @brief 32-bit fractional data type in 9.23 format. + */ + typedef int32_t q23_t; + + /** + * @brief 32-bit fractional 128-bit vector data type in 9.23 format. + */ + typedef int32x4_t q23x4_t; + + /** + * @brief 64-bit status 128-bit vector data type. + */ + typedef int64x2_t status64x2_t; + + /** + * @brief 32-bit status 128-bit vector data type. + */ + typedef int32x4_t status32x4_t; + + /** + * @brief 16-bit status 128-bit vector data type. + */ + typedef int16x8_t status16x8_t; + + /** + * @brief 8-bit status 128-bit vector data type. + */ + typedef int8x16_t status8x16_t; + + +#endif + +#if defined(ARM_MATH_NEON) || defined(ARM_MATH_MVEF) /* floating point vector*/ + /** + * @brief 32-bit floating-point 128-bit vector type + */ + typedef float32x4_t f32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector data type + */ + typedef __ALIGNED(2) float16x8_t f16x8_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector pair data type + */ + typedef float32x4x2_t f32x4x2_t; + + /** + * @brief 32-bit floating-point 128-bit vector quadruplet data type + */ + typedef float32x4x4_t f32x4x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector pair data type + */ + typedef float16x8x2_t f16x8x2_t; + + /** + * @brief 16-bit floating-point 128-bit vector quadruplet data type + */ + typedef float16x8x4_t f16x8x4_t; +#endif + + /** + * @brief 32-bit ubiquitous 128-bit vector data type + */ + typedef union _any32x4_t + { + float32x4_t f; + int32x4_t i; + } any32x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 128-bit vector data type + */ + typedef union _any16x8_t + { + float16x8_t f; + int16x8_t i; + } any16x8_t; +#endif + +#endif + +#if defined(ARM_MATH_NEON) + /** + * @brief 32-bit fractional 64-bit vector data type in 1.31 format. + */ + typedef int32x2_t q31x2_t; + + /** + * @brief 16-bit fractional 64-bit vector data type in 1.15 format. + */ + typedef __ALIGNED(2) int16x4_t q15x4_t; + + /** + * @brief 8-bit fractional 64-bit vector data type in 1.7 format. + */ + typedef __ALIGNED(1) int8x8_t q7x8_t; + + /** + * @brief 32-bit float 64-bit vector data type. + */ + typedef float32x2_t f32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit float 64-bit vector data type. + */ + typedef __ALIGNED(2) float16x4_t f16x4_t; +#endif + + /** + * @brief 32-bit floating-point 128-bit vector triplet data type + */ + typedef float32x4x3_t f32x4x3_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 128-bit vector triplet data type + */ + typedef float16x8x3_t f16x8x3_t; +#endif + + /** + * @brief 32-bit fractional 128-bit vector triplet data type in 1.31 format + */ + typedef int32x4x3_t q31x4x3_t; + + /** + * @brief 16-bit fractional 128-bit vector triplet data type in 1.15 format + */ + typedef int16x8x3_t q15x8x3_t; + + /** + * @brief 8-bit fractional 128-bit vector triplet data type in 1.7 format + */ + typedef int8x16x3_t q7x16x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector pair data type + */ + typedef float32x2x2_t f32x2x2_t; + + /** + * @brief 32-bit floating-point 64-bit vector triplet data type + */ + typedef float32x2x3_t f32x2x3_t; + + /** + * @brief 32-bit floating-point 64-bit vector quadruplet data type + */ + typedef float32x2x4_t f32x2x4_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit floating-point 64-bit vector pair data type + */ + typedef float16x4x2_t f16x4x2_t; + + /** + * @brief 16-bit floating-point 64-bit vector triplet data type + */ + typedef float16x4x3_t f16x4x3_t; + + /** + * @brief 16-bit floating-point 64-bit vector quadruplet data type + */ + typedef float16x4x4_t f16x4x4_t; +#endif + + /** + * @brief 32-bit fractional 64-bit vector pair data type in 1.31 format + */ + typedef int32x2x2_t q31x2x2_t; + + /** + * @brief 32-bit fractional 64-bit vector triplet data type in 1.31 format + */ + typedef int32x2x3_t q31x2x3_t; + + /** + * @brief 32-bit fractional 64-bit vector quadruplet data type in 1.31 format + */ + typedef int32x4x3_t q31x2x4_t; + + /** + * @brief 16-bit fractional 64-bit vector pair data type in 1.15 format + */ + typedef int16x4x2_t q15x4x2_t; + + /** + * @brief 16-bit fractional 64-bit vector triplet data type in 1.15 format + */ + typedef int16x4x2_t q15x4x3_t; + + /** + * @brief 16-bit fractional 64-bit vector quadruplet data type in 1.15 format + */ + typedef int16x4x3_t q15x4x4_t; + + /** + * @brief 8-bit fractional 64-bit vector pair data type in 1.7 format + */ + typedef int8x8x2_t q7x8x2_t; + + /** + * @brief 8-bit fractional 64-bit vector triplet data type in 1.7 format + */ + typedef int8x8x3_t q7x8x3_t; + + /** + * @brief 8-bit fractional 64-bit vector quadruplet data type in 1.7 format + */ + typedef int8x8x4_t q7x8x4_t; + + /** + * @brief 32-bit ubiquitous 64-bit vector data type + */ + typedef union _any32x2_t + { + float32x2_t f; + int32x2_t i; + } any32x2_t; + +#if defined(ARM_MATH_FLOAT16) + /** + * @brief 16-bit ubiquitous 64-bit vector data type + */ + typedef union _any16x4_t + { + float16x4_t f; + int16x4_t i; + } any16x4_t; +#endif + + /** + * @brief 32-bit status 64-bit vector data type. + */ + typedef int32x4_t status32x2_t; + + /** + * @brief 16-bit status 64-bit vector data type. + */ + typedef int16x8_t status16x4_t; + + /** + * @brief 8-bit status 64-bit vector data type. + */ + typedef int8x16_t status8x8_t; + +#endif + + + +/** + @brief definition to read/write two 16 bit values. + @deprecated + */ +#if defined ( __CC_ARM ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define __SIMD32_TYPE int32_t +#elif defined ( __GNUC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __ICCARM__ ) + #define __SIMD32_TYPE int32_t __packed +#elif defined ( __TI_ARM__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __CSMC__ ) + #define __SIMD32_TYPE int32_t +#elif defined ( __TASKING__ ) + #define __SIMD32_TYPE __un(aligned) int32_t +#elif defined(_MSC_VER ) + #define __SIMD32_TYPE int32_t +#else + #error Unknown compiler +#endif + +#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr)) +#define __SIMD32_CONST(addr) ( (__SIMD32_TYPE * ) (addr)) +#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE * ) (addr)) +#define __SIMD64(addr) (*( int64_t **) & (addr)) + +#define STEP(x) (x) <= 0 ? 0 : 1 +#define SQ(x) ((x) * (x)) + +/* SIMD replacement */ + + +/** + @brief Read 2 Q15 from Q15 pointer. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2 ( + q15_t * pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, pQ15, 4); +#else + val = (pQ15[1] << 16) | (pQ15[0] & 0x0FFFF) ; +#endif + + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_ia ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 += 2; + return (val); +} + +/** + @brief Read 2 Q15 from Q15 pointer and decrement pointer afterwards. + @param[in] pQ15 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q15x2_da ( + q15_t ** pQ15) +{ + q31_t val; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ15, 4); +#else + val = ((*pQ15)[1] << 16) | ((*pQ15)[0] & 0x0FFFF); +#endif + + *pQ15 -= 2; + return (val); +} + +/** + @brief Write 2 Q15 to Q15 pointer and increment pointer afterwards. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2_ia ( + q15_t ** pQ15, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ15, &val, 4); +#else + (*pQ15)[0] = (val & 0x0FFFF); + (*pQ15)[1] = (val >> 16) & 0x0FFFF; +#endif + + *pQ15 += 2; +} + +/** + @brief Write 2 Q15 to Q15 pointer. + @param[in] pQ15 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q15x2 ( + q15_t * pQ15, + q31_t value) +{ + q31_t val = value; + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (pQ15, &val, 4); +#else + pQ15[0] = val & 0x0FFFF; + pQ15[1] = val >> 16; +#endif +} + + +/** + @brief Read 4 Q7 from Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_ia ( + q7_t ** pQ7) +{ + q31_t val; + + +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val =(((*pQ7)[3] & 0x0FF) << 24) | (((*pQ7)[2] & 0x0FF) << 16) | (((*pQ7)[1] & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + + *pQ7 += 4; + + return (val); +} + +/** + @brief Read 4 Q7 from Q7 pointer and decrement pointer afterwards. + @param[in] pQ7 points to input value + @return Q31 value + */ +__STATIC_FORCEINLINE q31_t read_q7x4_da ( + q7_t ** pQ7) +{ + q31_t val; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (&val, *pQ7, 4); +#else + val = ((((*pQ7)[3]) & 0x0FF) << 24) | ((((*pQ7)[2]) & 0x0FF) << 16) | ((((*pQ7)[1]) & 0x0FF) << 8) | ((*pQ7)[0] & 0x0FF); +#endif + *pQ7 -= 4; + + return (val); +} + +/** + @brief Write 4 Q7 to Q7 pointer and increment pointer afterwards. + @param[in] pQ7 points to input value + @param[in] value Q31 value + @return none + */ +__STATIC_FORCEINLINE void write_q7x4_ia ( + q7_t ** pQ7, + q31_t value) +{ + q31_t val = value; +#ifdef __ARM_FEATURE_UNALIGNED + memcpy (*pQ7, &val, 4); +#else + (*pQ7)[0] = val & 0x0FF; + (*pQ7)[1] = (val >> 8) & 0x0FF; + (*pQ7)[2] = (val >> 16) & 0x0FF; + (*pQ7)[3] = (val >> 24) & 0x0FF; + +#endif + *pQ7 += 4; +} + +/* + +Normally those kind of definitions are in a compiler file +in Core or Core_A. + +But for MSVC compiler it is a bit special. The goal is very specific +to CMSIS-DSP and only to allow the use of this library from other +systems like Python or Matlab. + +MSVC is not going to be used to cross-compile to ARM. So, having a MSVC +compiler file in Core or Core_A would not make sense. + +*/ +#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data) + { + if (data == 0U) { return 32U; } + + uint32_t count = 0U; + uint32_t mask = 0x80000000U; + + while ((data & mask) == 0U) + { + count += 1U; + mask = mask >> 1U; + } + return count; + } + + __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat) + { + if ((sat >= 1U) && (sat <= 32U)) + { + const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U); + const int32_t min = -1 - max ; + if (val > max) + { + return max; + } + else if (val < min) + { + return min; + } + } + return val; + } + + __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat) + { + if (sat <= 31U) + { + const uint32_t max = ((1U << sat) - 1U); + if (val > (int32_t)max) + { + return max; + } + else if (val < 0) + { + return 0U; + } + } + return (uint32_t)val; + } +#endif + +#ifndef ARM_MATH_DSP + /** + * @brief definition to pack two 16 bit values. + */ + #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ + (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) + #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ + (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) +#endif + + /** + * @brief definition to pack four 8 bit values. + */ +#ifndef ARM_MATH_BIG_ENDIAN + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v3) << 24) & (int32_t)0xFF000000) ) +#else + #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \ + (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \ + (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \ + (((int32_t)(v0) << 24) & (int32_t)0xFF000000) ) +#endif + + + /** + * @brief Clips Q63 to Q31 values. + */ + __STATIC_FORCEINLINE q31_t clip_q63_to_q31( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x; + } + + /** + * @brief Clips Q63 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q63_to_q15( + q63_t x) + { + return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ? + ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15); + } + + /** + * @brief Clips Q31 to Q7 values. + */ + __STATIC_FORCEINLINE q7_t clip_q31_to_q7( + q31_t x) + { + return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ? + ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x; + } + + /** + * @brief Clips Q31 to Q15 values. + */ + __STATIC_FORCEINLINE q15_t clip_q31_to_q15( + q31_t x) + { + return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ? + ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x; + } + + /** + * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format. + */ + __STATIC_FORCEINLINE q63_t mult32x64( + q63_t x, + q31_t y) + { + return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) + + (((q63_t) (x >> 32) * y) ) ); + } + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q31( + q31_t in, + q31_t * dst, + const q31_t * pRecipTable) + { + q31_t out; + uint32_t tempVal; + uint32_t index, i; + uint32_t signBits; + + if (in > 0) + { + signBits = ((uint32_t) (__CLZ( in) - 1)); + } + else + { + signBits = ((uint32_t) (__CLZ(-in) - 1)); + } + + /* Convert input sample to 1.31 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 24); + index = (index & INDEX_MASK); + + /* 1.31 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q63_t) in * out) >> 31); + tempVal = 0x7FFFFFFFu - tempVal; + /* 1.31 with exp 1 */ + /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */ + out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30); + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1U); + } + + + /** + * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type. + */ + __STATIC_FORCEINLINE uint32_t arm_recip_q15( + q15_t in, + q15_t * dst, + const q15_t * pRecipTable) + { + q15_t out = 0; + uint32_t tempVal = 0; + uint32_t index = 0, i = 0; + uint32_t signBits = 0; + + if (in > 0) + { + signBits = ((uint32_t)(__CLZ( in) - 17)); + } + else + { + signBits = ((uint32_t)(__CLZ(-in) - 17)); + } + + /* Convert input sample to 1.15 format */ + in = (in << signBits); + + /* calculation of index for initial approximated Val */ + index = (uint32_t)(in >> 8); + index = (index & INDEX_MASK); + + /* 1.15 with exp 1 */ + out = pRecipTable[index]; + + /* calculation of reciprocal value */ + /* running approximation for two iterations */ + for (i = 0U; i < 2U; i++) + { + tempVal = (uint32_t) (((q31_t) in * out) >> 15); + tempVal = 0x7FFFu - tempVal; + /* 1.15 with exp 1 */ + out = (q15_t) (((q31_t) out * tempVal) >> 14); + /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */ + } + + /* write output */ + *dst = out; + + /* return num of signbits of out = 1/in value */ + return (signBits + 1); + } + +/** + * @brief Integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb) +{ + float32_t r = x; + nb --; + while(nb > 0) + { + r = r * x; + nb--; + } + return(r); +} + +/** + * @brief 64-bit to 32-bit unsigned normalization + * @param[in] in is input unsigned long long value + * @param[out] normalized is the 32-bit normalized value + * @param[out] norm is norm scale + */ +__STATIC_INLINE void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm) +{ + int32_t n1; + int32_t hi = (int32_t) (in >> 32); + int32_t lo = (int32_t) ((in << 32) >> 32); + + n1 = __CLZ(hi) - 32; + if (!n1) + { + /* + * input fits in 32-bit + */ + n1 = __CLZ(lo); + if (!n1) + { + /* + * MSB set, need to scale down by 1 + */ + *norm = -1; + *normalized = (((uint32_t) lo) >> 1); + } else + { + if (n1 == 32) + { + /* + * input is zero + */ + *norm = 0; + *normalized = 0; + } else + { + /* + * 32-bit normalization + */ + *norm = n1 - 1; + *normalized = lo << *norm; + } + } + } else + { + /* + * input fits in 64-bit + */ + n1 = 1 - n1; + *norm = -n1; + /* + * 64 bit normalization + */ + *normalized = (((uint32_t) lo) >> n1) | (hi << (32 - n1)); + } +} + +__STATIC_INLINE q31_t arm_div_q63_to_q31(q63_t num, q31_t den) +{ + q31_t result; + uint64_t absNum; + int32_t normalized; + int32_t norm; + + /* + * if sum fits in 32bits + * avoid costly 64-bit division + */ + absNum = num > 0 ? num : -num; + arm_norm_64_to_32u(absNum, &normalized, &norm); + if (norm > 0) + /* + * 32-bit division + */ + result = (q31_t) num / den; + else + /* + * 64-bit division + */ + result = (q31_t) (num / den); + + return result; +} + + +/* + * @brief C custom defined intrinsic functions + */ +#if !defined (ARM_MATH_DSP) + + /* + * @brief C custom defined QADD8 + */ + __STATIC_FORCEINLINE uint32_t __QADD8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QSUB8 + */ + __STATIC_FORCEINLINE uint32_t __QSUB8( + uint32_t x, + uint32_t y) + { + q31_t r, s, t, u; + + r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF; + s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF; + t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF; + u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF; + + return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r ))); + } + + + /* + * @brief C custom defined QADD16 + */ + __STATIC_FORCEINLINE uint32_t __QADD16( + uint32_t x, + uint32_t y) + { +/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */ + q31_t r = 0, s = 0; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHADD16 + */ + __STATIC_FORCEINLINE uint32_t __SHADD16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSUB16 + */ + __STATIC_FORCEINLINE uint32_t __QSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSUB16 + */ + __STATIC_FORCEINLINE uint32_t __SHSUB16( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QASX + */ + __STATIC_FORCEINLINE uint32_t __QASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHASX + */ + __STATIC_FORCEINLINE uint32_t __SHASX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined QSAX + */ + __STATIC_FORCEINLINE uint32_t __QSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF; + s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SHSAX + */ + __STATIC_FORCEINLINE uint32_t __SHSAX( + uint32_t x, + uint32_t y) + { + q31_t r, s; + + r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF; + s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF; + + return ((uint32_t)((s << 16) | (r ))); + } + + + /* + * @brief C custom defined SMUSDX + */ + __STATIC_FORCEINLINE uint32_t __SMUSDX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + /* + * @brief C custom defined SMUADX + */ + __STATIC_FORCEINLINE uint32_t __SMUADX( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) )); + } + + + /* + * @brief C custom defined QADD + */ + __STATIC_FORCEINLINE int32_t __QADD( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y))); + } + + + /* + * @brief C custom defined QSUB + */ + __STATIC_FORCEINLINE int32_t __QSUB( + int32_t x, + int32_t y) + { + return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y))); + } + + + /* + * @brief C custom defined SMLAD + */ + __STATIC_FORCEINLINE uint32_t __SMLAD( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLADX + */ + __STATIC_FORCEINLINE uint32_t __SMLADX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLSDX + */ + __STATIC_FORCEINLINE uint32_t __SMLSDX( + uint32_t x, + uint32_t y, + uint32_t sum) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q31_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALD + */ + __STATIC_FORCEINLINE uint64_t __SMLALD( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMLALDX + */ + __STATIC_FORCEINLINE uint64_t __SMLALDX( + uint32_t x, + uint32_t y, + uint64_t sum) + { +/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */ + return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) + + ( ((q63_t)sum ) ) )); + } + + + /* + * @brief C custom defined SMUAD + */ + __STATIC_FORCEINLINE uint32_t __SMUAD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) + + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SMUSD + */ + __STATIC_FORCEINLINE uint32_t __SMUSD( + uint32_t x, + uint32_t y) + { + return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) - + ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) )); + } + + + /* + * @brief C custom defined SXTB16 + */ + __STATIC_FORCEINLINE uint32_t __SXTB16( + uint32_t x) + { + return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) | + ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) )); + } + + /* + * @brief C custom defined SMMLA + */ + __STATIC_FORCEINLINE int32_t __SMMLA( + int32_t x, + int32_t y, + int32_t sum) + { + return (sum + (int32_t) (((int64_t) x * y) >> 32)); + } + +#endif /* !defined (ARM_MATH_DSP) */ + + + /** + * @brief Instance structure for the Q7 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q7; + + /** + * @brief Instance structure for the Q15 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + } arm_fir_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of filter coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + } arm_fir_instance_f32; + + /** + * @brief Processing function for the Q7 FIR filter. + * @param[in] S points to an instance of the Q7 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q7( + const arm_fir_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q7 FIR filter. + * @param[in,out] S points to an instance of the Q7 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed. + */ + void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q15 FIR filter. + * @param[in] S points to an instance of the Q15 FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q15 FIR filter (fast version). + * @param[in] S points to an instance of the Q15 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 FIR filter. + * @param[in,out] S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + * @return The function returns either + * ARM_MATH_SUCCESS if initialization was successful or + * ARM_MATH_ARGUMENT_ERROR if numTaps is not a supported value. + */ + arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR filter. + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the fast Q31 FIR filter (fast version). + * @param[in] S points to an instance of the Q31 FIR filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 FIR filter. + * @param[in,out] S points to an instance of the Q31 FIR structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + /** + * @brief Processing function for the floating-point FIR filter. + * @param[in] S points to an instance of the floating-point FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_f32( + const arm_fir_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point FIR filter. + * @param[in,out] S points to an instance of the floating-point FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of samples that are processed at a time. + */ + void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + /** + * @brief Instance structure for the Q15 Biquad cascade filter. + */ + typedef struct + { + int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q15; + + /** + * @brief Instance structure for the Q31 Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */ + } arm_biquad_casd_df1_inst_q31; + + /** + * @brief Instance structure for the floating-point Biquad cascade filter. + */ + typedef struct + { + uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_casd_df1_inst_f32; + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + /** + * @brief Instance structure for the modified Biquad coefs required by vectorized code. + */ + typedef struct + { + float32_t coeffs[8][4]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */ + } arm_biquad_mod_coef_f32; +#endif + + /** + * @brief Processing function for the Q15 Biquad cascade filter. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q15 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + const q15_t * pCoeffs, + q15_t * pState, + int8_t postShift); + + /** + * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 Biquad cascade filter + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the Q31 Biquad cascade filter. + * @param[in,out] S points to an instance of the Q31 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q31_t * pState, + int8_t postShift); + + /** + * @brief Processing function for the floating-point Biquad cascade filter. + * @param[in] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point Biquad cascade filter. + * @param[in,out] S points to an instance of the floating-point Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pCoeffsMod points to the modified filter coefficients (only MVE version). + * @param[in] pState points to the state buffer. + */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + void arm_biquad_cascade_df1_mve_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + arm_biquad_mod_coef_f32 * pCoeffsMod, + float32_t * pState); +#endif + + void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise AND of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_and_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise OR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_or_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u16( + const uint16_t * pSrc, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u32( + const uint32_t * pSrc, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise NOT of a fixed-point vector. + * @param[in] pSrc points to input vector + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_not_u8( + const uint8_t * pSrc, + uint8_t * pDst, + uint32_t blockSize); + +/** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u16( + const uint16_t * pSrcA, + const uint16_t * pSrcB, + uint16_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u32( + const uint32_t * pSrcA, + const uint32_t * pSrcB, + uint32_t * pDst, + uint32_t blockSize); + + /** + * @brief Compute the logical bitwise XOR of two fixed-point vectors. + * @param[in] pSrcA points to input vector A + * @param[in] pSrcB points to input vector B + * @param[out] pDst points to output vector + * @param[in] blockSize number of samples in each vector + * @return none + */ + void arm_xor_u8( + const uint8_t * pSrcA, + const uint8_t * pSrcB, + uint8_t * pDst, + uint32_t blockSize); + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_BITONIC = 0, + /**< Bitonic sort */ + ARM_SORT_BUBBLE = 1, + /**< Bubble sort */ + ARM_SORT_HEAP = 2, + /**< Heap sort */ + ARM_SORT_INSERTION = 3, + /**< Insertion sort */ + ARM_SORT_QUICK = 4, + /**< Quick sort */ + ARM_SORT_SELECTION = 5 + /**< Selection sort */ + } arm_sort_alg; + + /** + * @brief Struct for specifying sorting algorithm + */ + typedef enum + { + ARM_SORT_DESCENDING = 0, + /**< Descending order (9 to 0) */ + ARM_SORT_ASCENDING = 1 + /**< Ascending order (0 to 9) */ + } arm_sort_dir; + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_alg alg; /**< Sorting algorithm selected */ + arm_sort_dir dir; /**< Sorting order (direction) */ + } arm_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_sort_f32( + const arm_sort_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] alg Selected algorithm. + * @param[in] dir Sorting order. + */ + void arm_sort_init_f32( + arm_sort_instance_f32 * S, + arm_sort_alg alg, + arm_sort_dir dir); + + /** + * @brief Instance structure for the sorting algorithms. + */ + typedef struct + { + arm_sort_dir dir; /**< Sorting order (direction) */ + float32_t * buffer; /**< Working buffer */ + } arm_merge_sort_instance_f32; + + /** + * @param[in] S points to an instance of the sorting structure. + * @param[in,out] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_merge_sort_f32( + const arm_merge_sort_instance_f32 * S, + float32_t *pSrc, + float32_t *pDst, + uint32_t blockSize); + + /** + * @param[in,out] S points to an instance of the sorting structure. + * @param[in] dir Sorting order. + * @param[in] buffer Working buffer. + */ + void arm_merge_sort_init_f32( + arm_merge_sort_instance_f32 * S, + arm_sort_dir dir, + float32_t * buffer); + + /** + * @brief Struct for specifying cubic spline type + */ + typedef enum + { + ARM_SPLINE_NATURAL = 0, /**< Natural spline */ + ARM_SPLINE_PARABOLIC_RUNOUT = 1 /**< Parabolic runout spline */ + } arm_spline_type; + + /** + * @brief Instance structure for the floating-point cubic spline interpolation. + */ + typedef struct + { + arm_spline_type type; /**< Type (boundary conditions) */ + const float32_t * x; /**< x values */ + const float32_t * y; /**< y values */ + uint32_t n_x; /**< Number of known data points */ + float32_t * coeffs; /**< Coefficients buffer (b,c, and d) */ + } arm_spline_instance_f32; + + /** + * @brief Processing function for the floating-point cubic spline interpolation. + * @param[in] S points to an instance of the floating-point spline structure. + * @param[in] xq points to the x values ot the interpolated data points. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples of output data. + */ + void arm_spline_f32( + arm_spline_instance_f32 * S, + const float32_t * xq, + float32_t * pDst, + uint32_t blockSize); + + /** + * @brief Initialization function for the floating-point cubic spline interpolation. + * @param[in,out] S points to an instance of the floating-point spline structure. + * @param[in] type type of cubic spline interpolation (boundary conditions) + * @param[in] x points to the x values of the known data points. + * @param[in] y points to the y values of the known data points. + * @param[in] n number of known data points. + * @param[in] coeffs coefficients array for b, c, and d + * @param[in] tempBuffer buffer array for internal computations + */ + void arm_spline_init_f32( + arm_spline_instance_f32 * S, + arm_spline_type type, + const float32_t * x, + const float32_t * y, + uint32_t n, + float32_t * coeffs, + float32_t * tempBuffer); + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float32_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f32; + + /** + * @brief Instance structure for the floating-point matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + float64_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_f64; + + /** + * @brief Instance structure for the Q15 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q15_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q15; + + /** + * @brief Instance structure for the Q31 matrix structure. + */ + typedef struct + { + uint16_t numRows; /**< number of rows of the matrix. */ + uint16_t numCols; /**< number of columns of the matrix. */ + q31_t *pData; /**< points to the data of the matrix. */ + } arm_matrix_instance_q31; + + /** + * @brief Floating-point matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix addition. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch); + + /** + * @brief Q31, complex, matrix multiplication. + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix transpose. + * @param[in] pSrc points to the input matrix + * @param[out] pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @param[in] pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState); + + /** + * @brief Q31 matrix multiplication + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix subtraction + * @param[in] pSrcA points to the first input matrix structure + * @param[in] pSrcB points to the second input matrix structure + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Floating-point matrix scaling. + * @param[in] pSrc points to the input matrix + * @param[in] scale scale factor + * @param[out] pDst points to the output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst); + + /** + * @brief Q31 matrix scaling. + * @param[in] pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst); + + /** + * @brief Q31 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData); + + /** + * @brief Q15 matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData); + + /** + * @brief Floating-point matrix initialization. + * @param[in,out] S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] pData points to the matrix data array. + */ +void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData); + + + /** + * @brief Instance structure for the Q15 PID Control. + */ + typedef struct + { + q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ +#if !defined (ARM_MATH_DSP) + q15_t A1; + q15_t A2; +#else + q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/ +#endif + q15_t state[3]; /**< The state array of length 3. */ + q15_t Kp; /**< The proportional gain. */ + q15_t Ki; /**< The integral gain. */ + q15_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q15; + + /** + * @brief Instance structure for the Q31 PID Control. + */ + typedef struct + { + q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + q31_t A2; /**< The derived gain, A2 = Kd . */ + q31_t state[3]; /**< The state array of length 3. */ + q31_t Kp; /**< The proportional gain. */ + q31_t Ki; /**< The integral gain. */ + q31_t Kd; /**< The derivative gain. */ + } arm_pid_instance_q31; + + /** + * @brief Instance structure for the floating-point PID Control. + */ + typedef struct + { + float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */ + float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */ + float32_t A2; /**< The derived gain, A2 = Kd . */ + float32_t state[3]; /**< The state array of length 3. */ + float32_t Kp; /**< The proportional gain. */ + float32_t Ki; /**< The integral gain. */ + float32_t Kd; /**< The derivative gain. */ + } arm_pid_instance_f32; + + + + /** + * @brief Initialization function for the floating-point PID Control. + * @param[in,out] S points to an instance of the PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_f32( + arm_pid_instance_f32 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + */ + void arm_pid_reset_f32( + arm_pid_instance_f32 * S); + + + /** + * @brief Initialization function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q31( + arm_pid_instance_q31 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q31 PID Control. + * @param[in,out] S points to an instance of the Q31 PID Control structure + */ + + void arm_pid_reset_q31( + arm_pid_instance_q31 * S); + + + /** + * @brief Initialization function for the Q15 PID Control. + * @param[in,out] S points to an instance of the Q15 PID structure. + * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. + */ + void arm_pid_init_q15( + arm_pid_instance_q15 * S, + int32_t resetStateFlag); + + + /** + * @brief Reset function for the Q15 PID Control. + * @param[in,out] S points to an instance of the q15 PID Control structure + */ + void arm_pid_reset_q15( + arm_pid_instance_q15 * S); + + + /** + * @brief Instance structure for the floating-point Linear Interpolate function. + */ + typedef struct + { + uint32_t nValues; /**< nValues */ + float32_t x1; /**< x1 */ + float32_t xSpacing; /**< xSpacing */ + float32_t *pYData; /**< pointer to the table of Y values */ + } arm_linear_interp_instance_f32; + + /** + * @brief Instance structure for the floating-point bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + float32_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_f32; + + /** + * @brief Instance structure for the Q31 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q31_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q31; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q15_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q15; + + /** + * @brief Instance structure for the Q15 bilinear interpolation function. + */ + typedef struct + { + uint16_t numRows; /**< number of rows in the data table. */ + uint16_t numCols; /**< number of columns in the data table. */ + q7_t *pData; /**< points to the data table. */ + } arm_bilinear_interp_instance_q7; + + + /** + * @brief Q7 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector multiplication. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_mult_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc); + + + /** + * @brief Instance structure for the Q15 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q15; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc); + + /** + * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix2_instance_q31; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_q31( + const arm_cfft_radix2_instance_q31 * S, + q31_t * pSrc); + + /** + * @brief Instance structure for the Q31 CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + } arm_cfft_radix4_instance_q31; + +/* Deprecated */ + void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc); + +/* Deprecated */ + arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix2_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix2_f32( + const arm_cfft_radix2_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */ + uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ + float32_t onebyfftLen; /**< value of 1/fftLen. */ + } arm_cfft_radix4_instance_f32; + +/* Deprecated */ + arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + +/* Deprecated */ + void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q15_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q15_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q15; + +arm_status arm_cfft_init_q15( + arm_cfft_instance_q15 * S, + uint16_t fftLen); + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the fixed-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const q31_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEI) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const q31_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_q31; + +arm_status arm_cfft_init_q31( + arm_cfft_instance_q31 * S, + uint16_t fftLen); + +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float32_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + const uint32_t *rearranged_twiddle_tab_stride1_arr; /**< Per stage reordered twiddle pointer (offset 1) */ \ + const uint32_t *rearranged_twiddle_tab_stride2_arr; /**< Per stage reordered twiddle pointer (offset 2) */ \ + const uint32_t *rearranged_twiddle_tab_stride3_arr; /**< Per stage reordered twiddle pointer (offset 3) */ \ + const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \ + const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \ + const float32_t *rearranged_twiddle_stride3; +#endif + } arm_cfft_instance_f32; + + + arm_status arm_cfft_init_f32( + arm_cfft_instance_f32 * S, + uint16_t fftLen); + + void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + + /** + * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function. + */ + typedef struct + { + uint16_t fftLen; /**< length of the FFT. */ + const float64_t *pTwiddle; /**< points to the Twiddle factor table. */ + const uint16_t *pBitRevTable; /**< points to the bit reversal table. */ + uint16_t bitRevLength; /**< bit reversal table length. */ + } arm_cfft_instance_f64; + + void arm_cfft_f64( + const arm_cfft_instance_f64 * S, + float64_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag); + + /** + * @brief Instance structure for the Q15 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q15 cfftInst; +#else + const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q15; + + arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst); + + /** + * @brief Instance structure for the Q31 RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ +#if defined(ARM_MATH_MVEI) + arm_cfft_instance_q31 cfftInst; +#else + const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */ +#endif + } arm_rfft_instance_q31; + + arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst); + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ + typedef struct + { + uint32_t fftLenReal; /**< length of the real FFT. */ + uint16_t fftLenBy2; /**< length of the complex FFT. */ + uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */ + uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */ + uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */ + const float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */ + const float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_rfft_instance_f32; + + arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag); + + void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst); + + /** + * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f64 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float64_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f64 ; + +arm_status arm_rfft_fast_init_f64 ( + arm_rfft_fast_instance_f64 * S, + uint16_t fftLen); + + +void arm_rfft_fast_f64( + arm_rfft_fast_instance_f64 * S, + float64_t * p, float64_t * pOut, + uint8_t ifftFlag); + + + /** + * @brief Instance structure for the floating-point RFFT/RIFFT function. + */ +typedef struct + { + arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */ + uint16_t fftLenRFFT; /**< length of the real sequence */ + const float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */ + } arm_rfft_fast_instance_f32 ; + +arm_status arm_rfft_fast_init_f32 ( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen); + + + void arm_rfft_fast_f32( + const arm_rfft_fast_instance_f32 * S, + float32_t * p, float32_t * pOut, + uint8_t ifftFlag); + + /** + * @brief Instance structure for the floating-point DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + float32_t normalize; /**< normalizing factor. */ + const float32_t *pTwiddle; /**< points to the twiddle factor table. */ + const float32_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_f32; + + + /** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length. + */ + arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize); + + + /** + * @brief Processing function for the floating-point DCT4/IDCT4. + * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q31 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q31_t normalize; /**< normalizing factor. */ + const q31_t *pTwiddle; /**< points to the twiddle factor table. */ + const q31_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q31; + + + /** + * @brief Initialization function for the Q31 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure + * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize); + + + /** + * @brief Processing function for the Q31 DCT4/IDCT4. + * @param[in] S points to an instance of the Q31 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer); + + + /** + * @brief Instance structure for the Q15 DCT4/IDCT4 function. + */ + typedef struct + { + uint16_t N; /**< length of the DCT4. */ + uint16_t Nby2; /**< half of the length of the DCT4. */ + q15_t normalize; /**< normalizing factor. */ + const q15_t *pTwiddle; /**< points to the twiddle factor table. */ + const q15_t *pCosFactor; /**< points to the cosFactor table. */ + arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */ + arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */ + } arm_dct4_instance_q15; + + + /** + * @brief Initialization function for the Q15 DCT4/IDCT4. + * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure. + * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure. + * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + */ + arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize); + + + /** + * @brief Processing function for the Q15 DCT4/IDCT4. + * @param[in] S points to an instance of the Q15 DCT4 structure. + * @param[in] pState points to state buffer. + * @param[in,out] pInlineBuffer points to the in-place input and output buffer. + */ + void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer); + + + /** + * @brief Floating-point vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector addition. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_add_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector subtraction. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in each vector + */ + void arm_sub_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a floating-point vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scale scale factor to be applied + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_f32( + const float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q7 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q7( + const q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q15 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q15( + const q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Multiplies a Q31 vector by a scalar. + * @param[in] pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_scale_q31( + const q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q7 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Floating-point vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q15 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Q31 vector absolute value. + * @param[in] pSrc points to the input buffer + * @param[out] pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + */ + void arm_abs_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Dot product of floating-point vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t * result); + + + /** + * @brief Dot product of Q7 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q7( + const q7_t * pSrcA, + const q7_t * pSrcB, + uint32_t blockSize, + q31_t * result); + + + /** + * @brief Dot product of Q15 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Dot product of Q31 vectors. + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] result output result returned here + */ + void arm_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t blockSize, + q63_t * result); + + + /** + * @brief Shifts the elements of a Q7 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q7( + const q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q15 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q15( + const q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Shifts the elements of a Q31 vector a specified number of bits. + * @param[in] pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_shift_q31( + const q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_f32( + const float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q7( + const q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q15( + const q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Adds a constant offset to a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_offset_q31( + const q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a floating-point vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q7 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q15 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Negates the elements of a Q31 vector. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] blockSize number of samples in the vector + */ + void arm_negate_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a floating-point vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q7 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q7( + const q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Copies the elements of a Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_copy_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a floating-point vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q7 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q15 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Fills a constant value into a Q31 vector. + * @param[in] value input value to be filled + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + + /** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + */ + void arm_conv_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + + /** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + */ + void arm_conv_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_conv_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1. + */ + void arm_conv_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Partial convolution of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q15 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Partial convolution of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4 + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Partial convolution of Q7 sequences + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2); + + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + arm_status arm_conv_partial_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints); + + + /** + * @brief Instance structure for the Q15 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR decimator. + */ + typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_q31; + +/** + @brief Instance structure for floating-point FIR decimator. + */ +typedef struct + { + uint8_t M; /**< decimation factor. */ + uint16_t numTaps; /**< number of coefficients in the filter. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + } arm_fir_decimate_instance_f32; + + +/** + @brief Processing function for floating-point FIR decimator. + @param[in] S points to an instance of the floating-point FIR decimator structure + @param[in] pSrc points to the block of input data + @param[out] pDst points to the block of output data + @param[in] blockSize number of samples to process + */ +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + +/** + @brief Initialization function for the floating-point FIR decimator. + @param[in,out] S points to an instance of the floating-point FIR decimator structure + @param[in] numTaps number of coefficients in the filter + @param[in] M decimation factor + @param[in] pCoeffs points to the filter coefficients + @param[in] pState points to the state buffer + @param[in] blockSize number of input samples to process per call + @return execution status + - \ref ARM_MATH_SUCCESS : Operation successful + - \ref ARM_MATH_LENGTH_ERROR : blockSize is not a multiple of M + */ +arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q15 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR decimator. + * @param[in,out] S points to an instance of the Q15 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR decimator. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + /** + * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] S points to an instance of the Q31 FIR decimator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_decimate_fast_q31( + const arm_fir_decimate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR decimator. + * @param[in,out] S points to an instance of the Q31 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + */ + arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */ + } arm_fir_interpolate_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR interpolator. + */ + typedef struct + { + uint8_t L; /**< upsample factor. */ + uint16_t phaseLength; /**< length of each polyphase filter component. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */ + float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */ + } arm_fir_interpolate_instance_f32; + + + /** + * @brief Processing function for the Q15 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 FIR interpolator. + * @param[in,out] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 FIR interpolator. + * @param[in] S points to an instance of the Q15 FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR interpolator. + * @param[in,out] S points to an instance of the Q31 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point FIR interpolator. + * @param[in,out] S points to an instance of the floating-point FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] pCoeffs points to the filter coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + */ + arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the high precision Q31 Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */ + } arm_biquad_cas_df1_32x64_ins_q31; + + + /** + * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format + */ + void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + const q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift); + + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */ + const float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_stereo_df2T_instance_f32; + + /** + * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter. + */ + typedef struct + { + uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */ + float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */ + const float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */ + } arm_biquad_cascade_df2T_instance_f64; + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f32( + const arm_biquad_cascade_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_stereo_df2T_f32( + const arm_biquad_cascade_stereo_df2T_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in] S points to an instance of the filter data structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_biquad_cascade_df2T_f64( + const arm_biquad_cascade_df2T_instance_f64 * S, + const float64_t * pSrc, + float64_t * pDst, + uint32_t blockSize); + + +#if defined(ARM_MATH_NEON) +void arm_biquad_cascade_df2T_compute_coefs_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs); +#endif + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] pCoeffs points to the filter coefficients. + * @param[in] pState points to the state buffer. + */ + void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + const float64_t * pCoeffs, + float64_t * pState); + + + /** + * @brief Instance structure for the Q15 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point FIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of filter stages. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */ + } arm_fir_lattice_instance_f32; + + + /** + * @brief Initialization function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + const q15_t * pCoeffs, + q15_t * pState); + + + /** + * @brief Processing function for the Q15 FIR lattice filter. + * @param[in] S points to an instance of the Q15 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + const q31_t * pCoeffs, + q31_t * pState); + + + /** + * @brief Processing function for the Q31 FIR lattice filter. + * @param[in] S points to an instance of the Q31 FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] pState points to the state buffer. The array is of length numStages. + */ + void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + const float32_t * pCoeffs, + float32_t * pState); + + + /** + * @brief Processing function for the floating-point FIR lattice filter. + * @param[in] S points to an instance of the floating-point FIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] blockSize number of samples to process. + */ + void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q15; + + /** + * @brief Instance structure for the Q31 IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_q31; + + /** + * @brief Instance structure for the floating-point IIR lattice filter. + */ + typedef struct + { + uint16_t numStages; /**< number of stages in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */ + float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */ + float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */ + } arm_iir_lattice_instance_f32; + + + /** + * @brief Processing function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point IIR lattice filter. + * @param[in] S points to an instance of the floating-point IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 IIR lattice filter. + * @param[in] S points to an instance of the Q31 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the Q15 IIR lattice structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + */ + void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + +/** + * @brief Initialization function for the Q15 IIR lattice filter. + * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages. + * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. + * @param[in] pState points to state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process per call. + */ + void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize); + + + /** + * @brief Instance structure for the floating-point LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that controls filter coefficient updates. */ + } arm_lms_instance_f32; + + + /** + * @brief Processing function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_f32( + const arm_lms_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q15 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q15; + + + /** + * @brief Initialization function for the Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to the coefficient buffer. + * @param[in] pState points to the state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Processing function for Q15 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q15( + const arm_lms_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint32_t postShift; /**< bit shift applied to coefficients. */ + } arm_lms_instance_q31; + + + /** + * @brief Processing function for Q31 LMS filter. + * @param[in] S points to an instance of the Q15 LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_q31( + const arm_lms_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 LMS filter. + * @param[in] S points to an instance of the Q31 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift); + + + /** + * @brief Instance structure for the floating-point normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + float32_t mu; /**< step size that control filter coefficient updates. */ + float32_t energy; /**< saves previous frame energy. */ + float32_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_f32; + + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + const float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for floating-point normalized LMS filter. + * @param[in] S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize); + + + /** + * @brief Instance structure for the Q31 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q31_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q31_t *recipTable; /**< points to the reciprocal initial value table. */ + q31_t energy; /**< saves previous frame energy. */ + q31_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q31; + + + /** + * @brief Processing function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + const q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q31 normalized LMS filter. + * @param[in] S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Instance structure for the Q15 normalized LMS filter. + */ + typedef struct + { + uint16_t numTaps; /**< Number of coefficients in the filter. */ + q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */ + q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */ + q15_t mu; /**< step size that controls filter coefficient updates. */ + uint8_t postShift; /**< bit shift applied to coefficients. */ + const q15_t *recipTable; /**< Points to the reciprocal initial value table. */ + q15_t energy; /**< saves previous frame energy. */ + q15_t x0; /**< saves previous input sample. */ + } arm_lms_norm_instance_q15; + + + /** + * @brief Processing function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] pSrc points to the block of input data. + * @param[in] pRef points to the block of reference data. + * @param[out] pOut points to the block of output data. + * @param[out] pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + */ + void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + const q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize); + + + /** + * @brief Initialization function for Q15 normalized LMS filter. + * @param[in] S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] pCoeffs points to coefficient buffer. + * @param[in] pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + */ + void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift); + + + /** + * @brief Correlation of floating-point sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_f32( + const float32_t * pSrcA, + uint32_t srcALen, + const float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst); + + +/** + @brief Correlation of Q15 sequences + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. +*/ +void arm_correlate_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + +/** + @brief Correlation of Q15 sequences. + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + @return none + */ +void arm_correlate_fast_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst); + + +/** + @brief Correlation of Q15 sequences (fast version). + @param[in] pSrcA points to the first input sequence. + @param[in] srcALen length of the first input sequence. + @param[in] pSrcB points to the second input sequence. + @param[in] srcBLen length of the second input sequence. + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + */ +void arm_correlate_fast_opt_q15( + const q15_t * pSrcA, + uint32_t srcALen, + const q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch); + + + /** + * @brief Correlation of Q31 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + +/** + @brief Correlation of Q31 sequences (fast version). + @param[in] pSrcA points to the first input sequence + @param[in] srcALen length of the first input sequence + @param[in] pSrcB points to the second input sequence + @param[in] srcBLen length of the second input sequence + @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ +void arm_correlate_fast_q31( + const q31_t * pSrcA, + uint32_t srcALen, + const q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + */ + void arm_correlate_opt_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2); + + + /** + * @brief Correlation of Q7 sequences. + * @param[in] pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1. + */ + void arm_correlate_q7( + const q7_t * pSrcA, + uint32_t srcALen, + const q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst); + + + /** + * @brief Instance structure for the floating-point sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_f32; + + /** + * @brief Instance structure for the Q31 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q31; + + /** + * @brief Instance structure for the Q15 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q15; + + /** + * @brief Instance structure for the Q7 sparse FIR filter. + */ + typedef struct + { + uint16_t numTaps; /**< number of coefficients in the filter. */ + uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */ + q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */ + const q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/ + uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */ + int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */ + } arm_fir_sparse_instance_q7; + + + /** + * @brief Processing function for the floating-point sparse FIR filter. + * @param[in] S points to an instance of the floating-point sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + const float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the floating-point sparse FIR filter. + * @param[in,out] S points to an instance of the floating-point sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + const float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q31 sparse FIR filter. + * @param[in] S points to an instance of the Q31 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + const q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q31 sparse FIR filter. + * @param[in,out] S points to an instance of the Q31 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + const q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q15 sparse FIR filter. + * @param[in] S points to an instance of the Q15 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + const q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q15 sparse FIR filter. + * @param[in,out] S points to an instance of the Q15 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + const q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Processing function for the Q7 sparse FIR filter. + * @param[in] S points to an instance of the Q7 sparse FIR structure. + * @param[in] pSrc points to the block of input data. + * @param[out] pDst points to the block of output data + * @param[in] pScratchIn points to a temporary buffer of size blockSize. + * @param[in] pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + */ + void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + const q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize); + + + /** + * @brief Initialization function for the Q7 sparse FIR filter. + * @param[in,out] S points to an instance of the Q7 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] pCoeffs points to the array of filter coefficients. + * @param[in] pState points to the state buffer. + * @param[in] pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + */ + void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + const q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize); + + + /** + * @brief Floating-point sin_cos function. + * @param[in] theta input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cos output. + */ + void arm_sin_cos_f32( + float32_t theta, + float32_t * pSinVal, + float32_t * pCosVal); + + + /** + * @brief Q31 sin_cos function. + * @param[in] theta scaled input value in degrees + * @param[out] pSinVal points to the processed sine output. + * @param[out] pCosVal points to the processed cosine output. + */ + void arm_sin_cos_q31( + q31_t theta, + q31_t * pSinVal, + q31_t * pCosVal); + + + /** + * @brief Floating-point complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + /** + * @brief Q31 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex conjugate. + * @param[in] pSrc points to the input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_conj_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude squared + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_squared_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @ingroup groupController + */ + + /** + * @defgroup PID PID Motor Control + * + * A Proportional Integral Derivative (PID) controller is a generic feedback control + * loop mechanism widely used in industrial control systems. + * A PID controller is the most commonly used type of feedback controller. + * + * This set of functions implements (PID) controllers + * for Q15, Q31, and floating-point data types. The functions operate on a single sample + * of data and each call to the function returns a single processed value. + * S points to an instance of the PID control data structure. in + * is the input sample value. The functions return the output value. + * + * \par Algorithm: + * 
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+   *
+ * + * \par + * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant + * + * \par + * \image html PID.gif "Proportional Integral Derivative Controller" + * + * \par + * The PID controller calculates an "error" value as the difference between + * the measured output and the reference input. + * The controller attempts to minimize the error by adjusting the process control inputs. + * The proportional value determines the reaction to the current error, + * the integral value determines the reaction based on the sum of recent errors, + * and the derivative value determines the reaction based on the rate at which the error has been changing. + * + * \par Instance Structure + * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure. + * A separate instance structure must be defined for each PID Controller. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Reset Functions + * There is also an associated reset function for each data type which clears the state array. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains. + * - Zeros out the values in the state buffer. + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the PID Controller functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup PID + * @{ + */ + + /** + * @brief Process function for the floating-point PID Control. + * @param[in,out] S is an instance of the floating-point PID Control structure + * @param[in] in input sample to process + * @return processed output sample. + */ + __STATIC_FORCEINLINE float32_t arm_pid_f32( + arm_pid_instance_f32 * S, + float32_t in) + { + float32_t out; + + /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */ + out = (S->A0 * in) + + (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + + } + +/** + @brief Process function for the Q31 PID Control. + @param[in,out] S points to an instance of the Q31 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using an internal 64-bit accumulator. + The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + Thus, if the accumulator result overflows it wraps around rather than clip. + In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions. + After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ +__STATIC_FORCEINLINE q31_t arm_pid_q31( + arm_pid_instance_q31 * S, + q31_t in) + { + q63_t acc; + q31_t out; + + /* acc = A0 * x[n] */ + acc = (q63_t) S->A0 * in; + + /* acc += A1 * x[n-1] */ + acc += (q63_t) S->A1 * S->state[0]; + + /* acc += A2 * x[n-2] */ + acc += (q63_t) S->A2 * S->state[1]; + + /* convert output to 1.31 format to add y[n-1] */ + out = (q31_t) (acc >> 31U); + + /* out += y[n-1] */ + out += S->state[2]; + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + +/** + @brief Process function for the Q15 PID Control. + @param[in,out] S points to an instance of the Q15 PID Control structure + @param[in] in input sample to process + @return processed output sample. + + \par Scaling and Overflow Behavior + The function is implemented using a 64-bit internal accumulator. + Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ +__STATIC_FORCEINLINE q15_t arm_pid_q15( + arm_pid_instance_q15 * S, + q15_t in) + { + q63_t acc; + q15_t out; + +#if defined (ARM_MATH_DSP) + /* Implementation of PID controller */ + + /* acc = A0 * x[n] */ + acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in); + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc); +#else + /* acc = A0 * x[n] */ + acc = ((q31_t) S->A0) * in; + + /* acc += A1 * x[n-1] + A2 * x[n-2] */ + acc += (q31_t) S->A1 * S->state[0]; + acc += (q31_t) S->A2 * S->state[1]; +#endif + + /* acc += y[n-1] */ + acc += (q31_t) S->state[2] << 15; + + /* saturate the output */ + out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16)); + + /* Update state */ + S->state[1] = S->state[0]; + S->state[0] = in; + S->state[2] = out; + + /* return to application */ + return (out); + } + + /** + * @} end of PID group + */ + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * src, + arm_matrix_instance_f32 * dst); + + + /** + * @brief Floating-point matrix inverse. + * @param[in] src points to the instance of the input floating-point matrix structure. + * @param[out] dst points to the instance of the output floating-point matrix structure. + * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match. + * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR. + */ + arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * src, + arm_matrix_instance_f64 * dst); + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup clarke Vector Clarke Transform + * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector. + * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents + * in the two-phase orthogonal stator axis Ialpha and Ibeta. + * When Ialpha is superposed with Ia as shown in the figure below + * \image html clarke.gif Stator current space vector and its components in (a,b). + * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta + * can be calculated using only Ia and Ib. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeFormula.gif + * where Ia and Ib are the instantaneous stator phases and + * pIalpha and pIbeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup clarke + * @{ + */ + + /** + * + * @brief Floating-point Clarke transform + * @param[in] Ia input three-phase coordinate a + * @param[in] Ib input three-phase coordinate b + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @return none + */ + __STATIC_FORCEINLINE void arm_clarke_f32( + float32_t Ia, + float32_t Ib, + float32_t * pIalpha, + float32_t * pIbeta) + { + /* Calculate pIalpha using the equation, pIalpha = Ia */ + *pIalpha = Ia; + + /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */ + *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib); + } + + +/** + @brief Clarke transform for Q31 version + @param[in] Ia input three-phase coordinate a + @param[in] Ib input three-phase coordinate b + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_clarke_q31( + q31_t Ia, + q31_t Ib, + q31_t * pIalpha, + q31_t * pIbeta) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIalpha from Ia by equation pIalpha = Ia */ + *pIalpha = Ia; + + /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30); + + /* Intermediate product is calculated by (2/sqrt(3) * Ib) */ + product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30); + + /* pIbeta is calculated by adding the intermediate products */ + *pIbeta = __QADD(product1, product2); + } + + /** + * @} end of clarke group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_clarke Vector Inverse Clarke Transform + * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html clarkeInvFormula.gif + * where pIa and pIb are the instantaneous stator phases and + * Ialpha and Ibeta are the two coordinates of time invariant vector. + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Clarke transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_clarke + * @{ + */ + + /** + * @brief Floating-point Inverse Clarke transform + * @param[in] Ialpha input two-phase orthogonal vector axis alpha + * @param[in] Ibeta input two-phase orthogonal vector axis beta + * @param[out] pIa points to output three-phase coordinate a + * @param[out] pIb points to output three-phase coordinate b + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_clarke_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pIa, + float32_t * pIb) + { + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */ + *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta; + } + + +/** + @brief Inverse Clarke transform for Q31 version + @param[in] Ialpha input two-phase orthogonal vector axis alpha + @param[in] Ibeta input two-phase orthogonal vector axis beta + @param[out] pIa points to output three-phase coordinate a + @param[out] pIb points to output three-phase coordinate b + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_clarke_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pIa, + q31_t * pIb) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + + /* Calculating pIa from Ialpha by equation pIa = Ialpha */ + *pIa = Ialpha; + + /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31); + + /* Intermediate product is calculated by (1/sqrt(3) * pIb) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31); + + /* pIb is calculated by subtracting the products */ + *pIb = __QSUB(product2, product1); + } + + /** + * @} end of inv_clarke group + */ + + + + /** + * @ingroup groupController + */ + + /** + * @defgroup park Vector Park Transform + * + * Forward Park transform converts the input two-coordinate vector to flux and torque components. + * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents + * from the stationary to the moving reference frame and control the spatial relationship between + * the stator vector current and rotor flux vector. + * If we consider the d axis aligned with the rotor flux, the diagram below shows the + * current vector and the relationship from the two reference frames: + * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame" + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkFormula.gif + * where Ialpha and Ibeta are the stator vector components, + * pId and pIq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup park + * @{ + */ + + /** + * @brief Floating-point Park transform + * @param[in] Ialpha input two-phase vector coordinate alpha + * @param[in] Ibeta input two-phase vector coordinate beta + * @param[out] pId points to output rotor reference frame d + * @param[out] pIq points to output rotor reference frame q + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + * + * The function implements the forward Park transform. + * + */ + __STATIC_FORCEINLINE void arm_park_f32( + float32_t Ialpha, + float32_t Ibeta, + float32_t * pId, + float32_t * pIq, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */ + *pId = Ialpha * cosVal + Ibeta * sinVal; + + /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */ + *pIq = -Ialpha * sinVal + Ibeta * cosVal; + } + + +/** + @brief Park transform for Q31 version + @param[in] Ialpha input two-phase vector coordinate alpha + @param[in] Ibeta input two-phase vector coordinate beta + @param[out] pId points to output rotor reference frame d + @param[out] pIq points to output rotor reference frame q + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + \par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition and subtraction, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_park_q31( + q31_t Ialpha, + q31_t Ibeta, + q31_t * pId, + q31_t * pIq, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Ialpha * cosVal) */ + product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * sinVal) */ + product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Ialpha * sinVal) */ + product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Ibeta * cosVal) */ + product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31); + + /* Calculate pId by adding the two intermediate products 1 and 2 */ + *pId = __QADD(product1, product2); + + /* Calculate pIq by subtracting the two intermediate products 3 from 4 */ + *pIq = __QSUB(product4, product3); + } + + /** + * @} end of park group + */ + + + /** + * @ingroup groupController + */ + + /** + * @defgroup inv_park Vector Inverse Park transform + * Inverse Park transform converts the input flux and torque components to two-coordinate vector. + * + * The function operates on a single sample of data and each call to the function returns the processed output. + * The library provides separate functions for Q31 and floating-point data types. + * \par Algorithm + * \image html parkInvFormula.gif + * where pIalpha and pIbeta are the stator vector components, + * Id and Iq are rotor vector components and cosVal and sinVal are the + * cosine and sine values of theta (rotor flux position). + * \par Fixed-Point Behavior + * Care must be taken when using the Q31 version of the Park transform. + * In particular, the overflow and saturation behavior of the accumulator used must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup inv_park + * @{ + */ + + /** + * @brief Floating-point Inverse Park transform + * @param[in] Id input coordinate of rotor reference frame d + * @param[in] Iq input coordinate of rotor reference frame q + * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + * @param[out] pIbeta points to output two-phase orthogonal vector axis beta + * @param[in] sinVal sine value of rotation angle theta + * @param[in] cosVal cosine value of rotation angle theta + * @return none + */ + __STATIC_FORCEINLINE void arm_inv_park_f32( + float32_t Id, + float32_t Iq, + float32_t * pIalpha, + float32_t * pIbeta, + float32_t sinVal, + float32_t cosVal) + { + /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */ + *pIalpha = Id * cosVal - Iq * sinVal; + + /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */ + *pIbeta = Id * sinVal + Iq * cosVal; + } + + +/** + @brief Inverse Park transform for Q31 version + @param[in] Id input coordinate of rotor reference frame d + @param[in] Iq input coordinate of rotor reference frame q + @param[out] pIalpha points to output two-phase orthogonal vector axis alpha + @param[out] pIbeta points to output two-phase orthogonal vector axis beta + @param[in] sinVal sine value of rotation angle theta + @param[in] cosVal cosine value of rotation angle theta + @return none + + @par Scaling and Overflow Behavior + The function is implemented using an internal 32-bit accumulator. + The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. + There is saturation on the addition, hence there is no risk of overflow. + */ +__STATIC_FORCEINLINE void arm_inv_park_q31( + q31_t Id, + q31_t Iq, + q31_t * pIalpha, + q31_t * pIbeta, + q31_t sinVal, + q31_t cosVal) + { + q31_t product1, product2; /* Temporary variables used to store intermediate results */ + q31_t product3, product4; /* Temporary variables used to store intermediate results */ + + /* Intermediate product is calculated by (Id * cosVal) */ + product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31); + + /* Intermediate product is calculated by (Iq * sinVal) */ + product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31); + + + /* Intermediate product is calculated by (Id * sinVal) */ + product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31); + + /* Intermediate product is calculated by (Iq * cosVal) */ + product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31); + + /* Calculate pIalpha by using the two intermediate products 1 and 2 */ + *pIalpha = __QSUB(product1, product2); + + /* Calculate pIbeta by using the two intermediate products 3 and 4 */ + *pIbeta = __QADD(product4, product3); + } + + /** + * @} end of Inverse park group + */ + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup LinearInterpolate Linear Interpolation + * + * Linear interpolation is a method of curve fitting using linear polynomials. + * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line + * + * \par + * \image html LinearInterp.gif "Linear interpolation" + * + * \par + * A Linear Interpolate function calculates an output value(y), for the input(x) + * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values) + * + * \par Algorithm: + * 
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   *
+ * + * \par + * This set of functions implements Linear interpolation process + * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single + * sample of data and each call to the function returns a single processed value. + * S points to an instance of the Linear Interpolate function data structure. + * x is the input sample value. The functions returns the output value. + * + * \par + * if x is outside of the table boundary, Linear interpolation returns first value of the table + * if x is below input range and returns last value of table if x is above range. + */ + + /** + * @addtogroup LinearInterpolate + * @{ + */ + + /** + * @brief Process function for the floating-point Linear Interpolation Function. + * @param[in,out] S is an instance of the floating-point Linear Interpolation structure + * @param[in] x input sample to process + * @return y processed output sample. + * + */ + __STATIC_FORCEINLINE float32_t arm_linear_interp_f32( + arm_linear_interp_instance_f32 * S, + float32_t x) + { + float32_t y; + float32_t x0, x1; /* Nearest input values */ + float32_t y0, y1; /* Nearest output values */ + float32_t xSpacing = S->xSpacing; /* spacing between input values */ + int32_t i; /* Index variable */ + float32_t *pYData = S->pYData; /* pointer to output table */ + + /* Calculation of index */ + i = (int32_t) ((x - S->x1) / xSpacing); + + if (i < 0) + { + /* Iniatilize output for below specified range as least output value of table */ + y = pYData[0]; + } + else if ((uint32_t)i >= (S->nValues - 1)) + { + /* Iniatilize output for above specified range as last output value of table */ + y = pYData[S->nValues - 1]; + } + else + { + /* Calculation of nearest input values */ + x0 = S->x1 + i * xSpacing; + x1 = S->x1 + (i + 1) * xSpacing; + + /* Read of nearest output values */ + y0 = pYData[i]; + y1 = pYData[i + 1]; + + /* Calculation of output */ + y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0)); + + } + + /* returns output value */ + return (y); + } + + + /** + * + * @brief Process function for the Q31 Linear Interpolation Function. + * @param[in] pYData pointer to Q31 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q31_t arm_linear_interp_q31( + q31_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q31_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (q31_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* shift left by 11 to keep fract in 1.31 format */ + fract = (x & 0x000FFFFF) << 11; + + /* Read two nearest output values from the index in 1.31(q31) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 2.30 format */ + y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32)); + + /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */ + y += ((q31_t) (((q63_t) y1 * fract) >> 32)); + + /* Convert y to 1.31 format */ + return (y << 1U); + } + } + + + /** + * + * @brief Process function for the Q15 Linear Interpolation Function. + * @param[in] pYData pointer to Q15 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + * + */ + __STATIC_FORCEINLINE q15_t arm_linear_interp_q15( + q15_t * pYData, + q31_t x, + uint32_t nValues) + { + q63_t y; /* output */ + q15_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + int32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + index = ((x & (int32_t)0xFFF00000) >> 20); + + if (index >= (int32_t)(nValues - 1)) + { + return (pYData[nValues - 1]); + } + else if (index < 0) + { + return (pYData[0]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract) and y is in 13.35 format */ + y = ((q63_t) y0 * (0xFFFFF - fract)); + + /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */ + y += ((q63_t) y1 * (fract)); + + /* convert y to 1.15 format */ + return (q15_t) (y >> 20); + } + } + + + /** + * + * @brief Process function for the Q7 Linear Interpolation Function. + * @param[in] pYData pointer to Q7 Linear Interpolation table + * @param[in] x input sample to process + * @param[in] nValues number of table values + * @return y processed output sample. + * + * \par + * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part. + * This function can support maximum of table size 2^12. + */ + __STATIC_FORCEINLINE q7_t arm_linear_interp_q7( + q7_t * pYData, + q31_t x, + uint32_t nValues) + { + q31_t y; /* output */ + q7_t y0, y1; /* Nearest output values */ + q31_t fract; /* fractional part */ + uint32_t index; /* Index to read nearest output values */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + if (x < 0) + { + return (pYData[0]); + } + index = (x >> 20) & 0xfff; + + if (index >= (nValues - 1)) + { + return (pYData[nValues - 1]); + } + else + { + /* 20 bits for the fractional part */ + /* fract is in 12.20 format */ + fract = (x & 0x000FFFFF); + + /* Read two nearest output values from the index and are in 1.7(q7) format */ + y0 = pYData[index]; + y1 = pYData[index + 1]; + + /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */ + y = ((y0 * (0xFFFFF - fract))); + + /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */ + y += (y1 * fract); + + /* convert y to 1.7(q7) format */ + return (q7_t) (y >> 20); + } + } + + /** + * @} end of LinearInterpolate group + */ + + /** + * @brief Fast approximation to the trigonometric sine function for floating-point data. + * @param[in] x input value in radians. + * @return sin(x). + */ + float32_t arm_sin_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q31_t arm_sin_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric sine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + */ + q15_t arm_sin_q15( + q15_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + float32_t arm_cos_f32( + float32_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q31_t arm_cos_q31( + q31_t x); + + + /** + * @brief Fast approximation to the trigonometric cosine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + */ + q15_t arm_cos_q15( + q15_t x); + + +/** + @brief Floating-point vector of log values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vlog_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + +/** + @brief Floating-point vector of exp values. + @param[in] pSrc points to the input vector + @param[out] pDst points to the output vector + @param[in] blockSize number of samples in each vector + @return none + */ + void arm_vexp_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + /** + * @ingroup groupFastMath + */ + + + /** + * @defgroup SQRT Square Root + * + * Computes the square root of a number. + * There are separate functions for Q15, Q31, and floating-point data types. + * The square root function is computed using the Newton-Raphson algorithm. + * This is an iterative algorithm of the form: + * 
+   *      x1 = x0 - f(x0)/f'(x0)
+   *
+ * where x1 is the current estimate, + * x0 is the previous estimate, and + * f'(x0) is the derivative of f() evaluated at x0. + * For the square root function, the algorithm reduces to: + * 
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   *
+ */ + + + /** + * @addtogroup SQRT + * @{ + */ + +/** + @brief Floating-point square root function. + @param[in] in input value + @param[out] pOut square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +__STATIC_FORCEINLINE arm_status arm_sqrt_f32( + float32_t in, + float32_t * pOut) + { + if (in >= 0.0f) + { +#if defined ( __CC_ARM ) + #if defined __TARGET_FPU_VFP + *pOut = __sqrtf(in); + #else + *pOut = sqrtf(in); + #endif + +#elif defined ( __ICCARM__ ) + #if defined __ARMVFP__ + __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in)); + #else + *pOut = sqrtf(in); + #endif + +#else + *pOut = sqrtf(in); +#endif + + return (ARM_MATH_SUCCESS); + } + else + { + *pOut = 0.0f; + return (ARM_MATH_ARGUMENT_ERROR); + } + } + + +/** + @brief Q31 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut); + + +/** + @brief Q15 square root function. + @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF + @param[out] pOut points to square root of input value + @return execution status + - \ref ARM_MATH_SUCCESS : input value is positive + - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0 + */ +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut); + + /** + * @brief Vector Floating-point square root function. + * @param[in] pIn input vector. + * @param[out] pOut vector of square roots of input elements. + * @param[in] len length of input vector. + * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if + * in is negative value and returns zero output for negative values. + */ + void arm_vsqrt_f32( + float32_t * pIn, + float32_t * pOut, + uint16_t len); + + void arm_vsqrt_q31( + q31_t * pIn, + q31_t * pOut, + uint16_t len); + + void arm_vsqrt_q15( + q15_t * pIn, + q15_t * pOut, + uint16_t len); + + /** + * @} end of SQRT group + */ + + + /** + * @brief floating-point Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_f32( + int32_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const int32_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + + /** + * @brief floating-point Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_f32( + int32_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + int32_t * dst, + int32_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t rOffset; + int32_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q15 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q15( + q15_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q15_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q15 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q15( + q15_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q15_t * dst, + q15_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q15_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update wOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Q7 Circular write function. + */ + __STATIC_FORCEINLINE void arm_circularWrite_q7( + q7_t * circBuffer, + int32_t L, + uint16_t * writeOffset, + int32_t bufferInc, + const q7_t * src, + int32_t srcInc, + uint32_t blockSize) + { + uint32_t i = 0U; + int32_t wOffset; + + /* Copy the value of Index pointer that points + * to the current location where the input samples to be copied */ + wOffset = *writeOffset; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the input sample to the circular buffer */ + circBuffer[wOffset] = *src; + + /* Update the input pointer */ + src += srcInc; + + /* Circularly update wOffset. Watch out for positive and negative value */ + wOffset += bufferInc; + if (wOffset >= L) + wOffset -= L; + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *writeOffset = (uint16_t)wOffset; + } + + + /** + * @brief Q7 Circular Read function. + */ + __STATIC_FORCEINLINE void arm_circularRead_q7( + q7_t * circBuffer, + int32_t L, + int32_t * readOffset, + int32_t bufferInc, + q7_t * dst, + q7_t * dst_base, + int32_t dst_length, + int32_t dstInc, + uint32_t blockSize) + { + uint32_t i = 0; + int32_t rOffset; + q7_t* dst_end; + + /* Copy the value of Index pointer that points + * to the current location from where the input samples to be read */ + rOffset = *readOffset; + + dst_end = dst_base + dst_length; + + /* Loop over the blockSize */ + i = blockSize; + + while (i > 0U) + { + /* copy the sample from the circular buffer to the destination buffer */ + *dst = circBuffer[rOffset]; + + /* Update the input pointer */ + dst += dstInc; + + if (dst == dst_end) + { + dst = dst_base; + } + + /* Circularly update rOffset. Watch out for positive and negative value */ + rOffset += bufferInc; + + if (rOffset >= L) + { + rOffset -= L; + } + + /* Decrement the loop counter */ + i--; + } + + /* Update the index pointer */ + *readOffset = rOffset; + } + + + /** + * @brief Sum of the squares of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q31( + const q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q15( + const q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult); + + + /** + * @brief Sum of the squares of the elements of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_power_q7( + const q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult); + + + /** + * @brief Mean value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Mean value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Mean value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_mean_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Variance of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Variance of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_var_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Root Mean Square of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_rms_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Standard deviation of the elements of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult); + + + /** + * @brief Standard deviation of the elements of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output value. + */ + void arm_std_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult); + + + /** + * @brief Floating-point complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_f32( + const float32_t * pSrc, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q31( + const q31_t * pSrc, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex magnitude + * @param[in] pSrc points to the complex input vector + * @param[out] pDst points to the real output vector + * @param[in] numSamples number of complex samples in the input vector + */ + void arm_cmplx_mag_q15( + const q15_t * pSrc, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q15 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + uint32_t numSamples, + q31_t * realResult, + q31_t * imagResult); + + + /** + * @brief Q31 complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + uint32_t numSamples, + q63_t * realResult, + q63_t * imagResult); + + + /** + * @brief Floating-point complex dot product + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] numSamples number of complex samples in each vector + * @param[out] realResult real part of the result returned here + * @param[out] imagResult imaginary part of the result returned here + */ + void arm_cmplx_dot_prod_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t numSamples, + float32_t * realResult, + float32_t * imagResult); + + + /** + * @brief Q15 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q15( + const q15_t * pSrcCmplx, + const q15_t * pSrcReal, + q15_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_q31( + const q31_t * pSrcCmplx, + const q31_t * pSrcReal, + q31_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-real multiplication + * @param[in] pSrcCmplx points to the complex input vector + * @param[in] pSrcReal points to the real input vector + * @param[out] pCmplxDst points to the complex output vector + * @param[in] numSamples number of samples in each vector + */ + void arm_cmplx_mult_real_f32( + const float32_t * pSrcCmplx, + const float32_t * pSrcReal, + float32_t * pCmplxDst, + uint32_t numSamples); + + + /** + * @brief Minimum value of a Q7 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] result is output pointer + * @param[in] index is the array index of the minimum value in the input buffer. + */ + void arm_min_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * result, + uint32_t * index); + + + /** + * @brief Minimum value of a Q15 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[in] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a Q31 vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + + /** + * @brief Minimum value of a floating-point vector. + * @param[in] pSrc is input pointer + * @param[in] blockSize is the number of samples to process + * @param[out] pResult is output pointer + * @param[out] pIndex is the array index of the minimum value in the input buffer. + */ + void arm_min_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q7 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q7( + const q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q15 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q15( + const q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a Q31 vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_q31( + const q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex); + + +/** + * @brief Maximum value of a floating-point vector. + * @param[in] pSrc points to the input buffer + * @param[in] blockSize length of the input vector + * @param[out] pResult maximum value returned here + * @param[out] pIndex index of maximum value returned here + */ + void arm_max_f32( + const float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex); + + /** + @brief Maximum value of a floating-point vector. + @param[in] pSrc points to the input vector + @param[in] blockSize number of samples in input vector + @param[out] pResult maximum value returned here + @return none + */ + void arm_max_no_idx_f32( + const float32_t *pSrc, + uint32_t blockSize, + float32_t *pResult); + + /** + * @brief Q15 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q15( + const q15_t * pSrcA, + const q15_t * pSrcB, + q15_t * pDst, + uint32_t numSamples); + + + /** + * @brief Q31 complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_q31( + const q31_t * pSrcA, + const q31_t * pSrcB, + q31_t * pDst, + uint32_t numSamples); + + + /** + * @brief Floating-point complex-by-complex multiplication + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[out] pDst points to the output vector + * @param[in] numSamples number of complex samples in each vector + */ + void arm_cmplx_mult_cmplx_f32( + const float32_t * pSrcA, + const float32_t * pSrcB, + float32_t * pDst, + uint32_t numSamples); + + + /** + * @brief Converts the elements of the floating-point vector to Q31 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q31( + const float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q15 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q15( + const float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] pSrc points to the floating-point input vector + * @param[out] pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + */ + void arm_float_to_q7( + const float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_float( + const q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q15 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q15( + const q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q31 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q31_to_q7( + const q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_float( + const q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q31 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q31( + const q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q15 vector to Q7 vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q15_to_q7( + const q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to floating-point vector. + * @param[in] pSrc is input pointer + * @param[out] pDst is output pointer + * @param[in] blockSize is the number of samples to process + */ + void arm_q7_to_float( + const q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q31 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q31( + const q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize); + + + /** + * @brief Converts the elements of the Q7 vector to Q15 vector. + * @param[in] pSrc input pointer + * @param[out] pDst output pointer + * @param[in] blockSize number of samples to process + */ + void arm_q7_to_q15( + const q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize); + +/** + * @brief Struct for specifying SVM Kernel + */ +typedef enum +{ + ARM_ML_KERNEL_LINEAR = 0, + /**< Linear kernel */ + ARM_ML_KERNEL_POLYNOMIAL = 1, + /**< Polynomial kernel */ + ARM_ML_KERNEL_RBF = 2, + /**< Radial Basis Function kernel */ + ARM_ML_KERNEL_SIGMOID = 3 + /**< Sigmoid kernel */ +} arm_ml_kernel_type; + + +/** + * @brief Instance structure for linear SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ +} arm_svm_linear_instance_f32; + + +/** + * @brief Instance structure for polynomial SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + int32_t degree; /**< Polynomial degree */ + float32_t coef0; /**< Polynomial constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_polynomial_instance_f32; + +/** + * @brief Instance structure for rbf SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_rbf_instance_f32; + +/** + * @brief Instance structure for sigmoid SVM prediction function. + */ +typedef struct +{ + uint32_t nbOfSupportVectors; /**< Number of support vectors */ + uint32_t vectorDimension; /**< Dimension of vector space */ + float32_t intercept; /**< Intercept */ + const float32_t *dualCoefficients; /**< Dual coefficients */ + const float32_t *supportVectors; /**< Support vectors */ + const int32_t *classes; /**< The two SVM classes */ + float32_t coef0; /**< Independant constant */ + float32_t gamma; /**< Gamma factor */ +} arm_svm_sigmoid_instance_f32; + +/** + * @brief SVM linear instance init function + * @param[in] S Parameters for SVM functions + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @return none. + * + */ + + +void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes); + +/** + * @brief SVM linear prediction + * @param[in] S Pointer to an instance of the linear SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ + +void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM polynomial instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] degree Polynomial degree + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + + +void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + int32_t degree, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM polynomial prediction + * @param[in] S Pointer to an instance of the polynomial SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + +/** + * @brief SVM radial basis function instance init function + * @param[in] S points to an instance of the polynomial SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t gamma + ); + +/** + * @brief SVM rbf prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult decision value + * @return none. + * + */ +void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + +/** + * @brief SVM sigmoid instance init function + * @param[in] S points to an instance of the rbf SVM structure. + * @param[in] nbOfSupportVectors Number of support vectors + * @param[in] vectorDimension Dimension of vector space + * @param[in] intercept Intercept + * @param[in] dualCoefficients Array of dual coefficients + * @param[in] supportVectors Array of support vectors + * @param[in] classes Array of 2 classes ID + * @param[in] coef0 coeff0 (scikit-learn terminology) + * @param[in] gamma gamma (scikit-learn terminology) + * @return none. + * + */ + +void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, + uint32_t nbOfSupportVectors, + uint32_t vectorDimension, + float32_t intercept, + const float32_t *dualCoefficients, + const float32_t *supportVectors, + const int32_t *classes, + float32_t coef0, + float32_t gamma + ); + +/** + * @brief SVM sigmoid prediction + * @param[in] S Pointer to an instance of the rbf SVM structure. + * @param[in] in Pointer to input vector + * @param[out] pResult Decision value + * @return none. + * + */ +void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S, + const float32_t * in, + int32_t * pResult); + + + +/** + * @brief Instance structure for Naive Gaussian Bayesian estimator. + */ +typedef struct +{ + uint32_t vectorDimension; /**< Dimension of vector space */ + uint32_t numberOfClasses; /**< Number of different classes */ + const float32_t *theta; /**< Mean values for the Gaussians */ + const float32_t *sigma; /**< Variances for the Gaussians */ + const float32_t *classPriors; /**< Class prior probabilities */ + float32_t epsilon; /**< Additive value to variances */ +} arm_gaussian_naive_bayes_instance_f32; + +/** + * @brief Naive Gaussian Bayesian Estimator + * + * @param[in] S points to a naive bayes instance structure + * @param[in] in points to the elements of the input vector. + * @param[in] pBuffer points to a buffer of length numberOfClasses + * @return The predicted class + * + */ + + +uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, + const float32_t * in, + float32_t *pBuffer); + +/** + * @brief Computation of the LogSumExp + * + * In probabilistic computations, the dynamic of the probability values can be very + * wide because they come from gaussian functions. + * To avoid underflow and overflow issues, the values are represented by their log. + * In this representation, multiplying the original exp values is easy : their logs are added. + * But adding the original exp values is requiring some special handling and it is the + * goal of the LogSumExp function. + * + * If the values are x1...xn, the function is computing: + * + * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that + * rounding issues are minimised. + * + * The max xm of the values is extracted and the function is computing: + * xm + ln(exp(x1 - xm) + ... + exp(xn - xm)) + * + * @param[in] *in Pointer to an array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return LogSumExp + * + */ + + +float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize); + +/** + * @brief Dot product with log arithmetic + * + * Vectors are containing the log of the samples + * + * @param[in] pSrcA points to the first input vector + * @param[in] pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[in] pTmpBuffer temporary buffer of length blockSize + * @return The log of the dot product . + * + */ + + +float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA, + const float32_t * pSrcB, + uint32_t blockSize, + float32_t *pTmpBuffer); + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize); + + +/** + * @brief Entropy + * + * @param[in] pSrcA Array of input values. + * @param[in] blockSize Number of samples in the input array. + * @return Entropy -Sum(p ln p) + * + */ + + +float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float32_t arm_kullback_leibler_f32(const float32_t * pSrcA + ,const float32_t * pSrcB + ,uint32_t blockSize); + + +/** + * @brief Kullback-Leibler + * + * @param[in] pSrcA Pointer to an array of input values for probability distribution A. + * @param[in] pSrcB Pointer to an array of input values for probability distribution B. + * @param[in] blockSize Number of samples in the input array. + * @return Kullback-Leibler Divergence D(A || B) + * + */ +float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, + const float64_t * pSrcB, + uint32_t blockSize); + + +/** + * @brief Weighted sum + * + * + * @param[in] *in Array of input values. + * @param[in] *weigths Weights + * @param[in] blockSize Number of samples in the input array. + * @return Weighted sum + * + */ +float32_t arm_weighted_sum_f32(const float32_t *in + , const float32_t *weigths + , uint32_t blockSize); + + +/** + * @brief Barycenter + * + * + * @param[in] in List of vectors + * @param[in] weights Weights of the vectors + * @param[out] out Barycenter + * @param[in] nbVectors Number of vectors + * @param[in] vecDim Dimension of space (vector dimension) + * @return None + * + */ +void arm_barycenter_f32(const float32_t *in + , const float32_t *weights + , float32_t *out + , uint32_t nbVectors + , uint32_t vecDim); + +/** + * @brief Euclidean distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Bray-Curtis distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Canberra distance between two vectors + * + * This function may divide by zero when samples pA[i] and pB[i] are both zero. + * The result of the computation will be correct. So the division per zero may be + * ignored. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Chebyshev distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + + +/** + * @brief Cityblock (Manhattan) distance between two vectors + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Correlation distance between two vectors + * + * The input vectors are modified in place ! + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ +float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize); + +/** + * @brief Cosine distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize); + +/** + * @brief Jensen-Shannon distance between two vectors + * + * This function is assuming that elements of second vector are > 0 + * and 0 only when the corresponding element of first vector is 0. + * Otherwise the result of the computation does not make sense + * and for speed reasons, the cases returning NaN or Infinity are not + * managed. + * + * When the function is computing x log (x / y) with x 0 and y 0, + * it will compute the right value (0) but a division per zero will occur + * and shoudl be ignored in client code. + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] blockSize vector length + * @return distance + * + */ + +float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize); + +/** + * @brief Minkowski distance between two vectors + * + * @param[in] pA First vector + * @param[in] pB Second vector + * @param[in] n Norm order (>= 2) + * @param[in] blockSize vector length + * @return distance + * + */ + + + +float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize); + +/** + * @brief Dice distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] order Distance order + * @param[in] blockSize Number of samples + * @return distance + * + */ + + +float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Hamming distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Jaccard distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Kulsinski distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Roger Stanimoto distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Russell-Rao distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Michener distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Sokal-Sneath distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + +/** + * @brief Yule distance between two vectors + * + * @param[in] pA First vector of packed booleans + * @param[in] pB Second vector of packed booleans + * @param[in] numberOfBools Number of booleans + * @return distance + * + */ + +float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools); + + + /** + * @ingroup groupInterpolation + */ + + /** + * @defgroup BilinearInterpolate Bilinear Interpolation + * + * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid. + * The underlying function f(x, y) is sampled on a regular grid and the interpolation process + * determines values between the grid points. + * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension. + * Bilinear interpolation is often used in image processing to rescale images. + * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types. + * + * Algorithm + * \par + * The instance structure used by the bilinear interpolation functions describes a two dimensional data table. + * For floating-point, the instance structure is defined as: + * 
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   *
+ * + * \par + * where numRows specifies the number of rows in the table; + * numCols specifies the number of columns in the table; + * and pData points to an array of size numRows*numCols values. + * The data table pTable is organized in row order and the supplied data values fall on integer indexes. + * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers. + * + * \par + * Let (x, y) specify the desired interpolation point. Then define: + * 
+   *     XF = floor(x)
+   *     YF = floor(y)
+   *
+ * \par + * The interpolated output point is computed as: + * 
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   *
+ * Note that the coordinates (x, y) contain integer and fractional components. + * The integer components specify which portion of the table to use while the + * fractional components control the interpolation processor. + * + * \par + * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output. + */ + + + /** + * @addtogroup BilinearInterpolate + * @{ + */ + + /** + * @brief Floating-point bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate. + * @param[in] Y interpolation coordinate. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE float32_t arm_bilinear_interp_f32( + const arm_bilinear_interp_instance_f32 * S, + float32_t X, + float32_t Y) + { + float32_t out; + float32_t f00, f01, f10, f11; + float32_t *pData = S->pData; + int32_t xIndex, yIndex, index; + float32_t xdiff, ydiff; + float32_t b1, b2, b3, b4; + + xIndex = (int32_t) X; + yIndex = (int32_t) Y; + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (xIndex < 0 || xIndex > (S->numCols - 2) || yIndex < 0 || yIndex > (S->numRows - 2)) + { + return (0); + } + + /* Calculation of index for two nearest points in X-direction */ + index = (xIndex ) + (yIndex ) * S->numCols; + + + /* Read two nearest points in X-direction */ + f00 = pData[index]; + f01 = pData[index + 1]; + + /* Calculation of index for two nearest points in Y-direction */ + index = (xIndex ) + (yIndex+1) * S->numCols; + + + /* Read two nearest points in Y-direction */ + f10 = pData[index]; + f11 = pData[index + 1]; + + /* Calculation of intermediate values */ + b1 = f00; + b2 = f01 - f00; + b3 = f10 - f00; + b4 = f00 - f01 - f10 + f11; + + /* Calculation of fractional part in X */ + xdiff = X - xIndex; + + /* Calculation of fractional part in Y */ + ydiff = Y - yIndex; + + /* Calculation of bi-linear interpolated output */ + out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff; + + /* return to application */ + return (out); + } + + + /** + * @brief Q31 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q31_t arm_bilinear_interp_q31( + arm_bilinear_interp_instance_q31 * S, + q31_t X, + q31_t Y) + { + q31_t out; /* Temporary output */ + q31_t acc = 0; /* output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q31_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q31_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* shift left xfract by 11 to keep 1.31 format */ + xfract = (X & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + x1 = pYData[(rI) + (int32_t)nCols * (cI) ]; + x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1]; + + /* 20 bits for the fractional part */ + /* shift left yfract by 11 to keep 1.31 format */ + yfract = (Y & 0x000FFFFF) << 11U; + + /* Read two nearest output values from the index */ + y1 = pYData[(rI) + (int32_t)nCols * (cI + 1) ]; + y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */ + out = ((q31_t) (((q63_t) x1 * (0x7FFFFFFF - xfract)) >> 32)); + acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32)); + + /* x2 * (xfract) * (1-yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (xfract) >> 32)); + + /* y1 * (1 - xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* y2 * (xfract) * (yfract) in 3.29(q29) and adding to acc */ + out = ((q31_t) ((q63_t) y2 * (xfract) >> 32)); + acc += ((q31_t) ((q63_t) out * (yfract) >> 32)); + + /* Convert acc to 1.31(q31) format */ + return ((q31_t)(acc << 2)); + } + + + /** + * @brief Q15 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q15_t arm_bilinear_interp_q15( + arm_bilinear_interp_instance_q15 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q15_t x1, x2, y1, y2; /* Nearest output values */ + q31_t xfract, yfract; /* X, Y fractional parts */ + int32_t rI, cI; /* Row and column indices */ + q15_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & 0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & 0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */ + + /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */ + /* convert 13.35 to 13.31 by right shifting and out is in 1.31 */ + out = (q31_t) (((q63_t) x1 * (0x0FFFFF - xfract)) >> 4U); + acc = ((q63_t) out * (0x0FFFFF - yfract)); + + /* x2 * (xfract) * (1-yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) x2 * (0x0FFFFF - yfract)) >> 4U); + acc += ((q63_t) out * (xfract)); + + /* y1 * (1 - xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y1 * (0x0FFFFF - xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* y2 * (xfract) * (yfract) in 1.51 and adding to acc */ + out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U); + acc += ((q63_t) out * (yfract)); + + /* acc is in 13.51 format and down shift acc by 36 times */ + /* Convert out to 1.15 format */ + return ((q15_t)(acc >> 36)); + } + + + /** + * @brief Q7 bilinear interpolation. + * @param[in,out] S points to an instance of the interpolation structure. + * @param[in] X interpolation coordinate in 12.20 format. + * @param[in] Y interpolation coordinate in 12.20 format. + * @return out interpolated value. + */ + __STATIC_FORCEINLINE q7_t arm_bilinear_interp_q7( + arm_bilinear_interp_instance_q7 * S, + q31_t X, + q31_t Y) + { + q63_t acc = 0; /* output */ + q31_t out; /* Temporary output */ + q31_t xfract, yfract; /* X, Y fractional parts */ + q7_t x1, x2, y1, y2; /* Nearest output values */ + int32_t rI, cI; /* Row and column indices */ + q7_t *pYData = S->pData; /* pointer to output table values */ + uint32_t nCols = S->numCols; /* num of rows */ + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + rI = ((X & (q31_t)0xFFF00000) >> 20); + + /* Input is in 12.20 format */ + /* 12 bits for the table index */ + /* Index value calculation */ + cI = ((Y & (q31_t)0xFFF00000) >> 20); + + /* Care taken for table outside boundary */ + /* Returns zero output when values are outside table boundary */ + if (rI < 0 || rI > (S->numCols - 2) || cI < 0 || cI > (S->numRows - 2)) + { + return (0); + } + + /* 20 bits for the fractional part */ + /* xfract should be in 12.20 format */ + xfract = (X & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) ]; + x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1]; + + /* 20 bits for the fractional part */ + /* yfract should be in 12.20 format */ + yfract = (Y & (q31_t)0x000FFFFF); + + /* Read two nearest output values from the index */ + y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) ]; + y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1]; + + /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */ + out = ((x1 * (0xFFFFF - xfract))); + acc = (((q63_t) out * (0xFFFFF - yfract))); + + /* x2 * (xfract) * (1-yfract) in 2.22 and adding to acc */ + out = ((x2 * (0xFFFFF - yfract))); + acc += (((q63_t) out * (xfract))); + + /* y1 * (1 - xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y1 * (0xFFFFF - xfract))); + acc += (((q63_t) out * (yfract))); + + /* y2 * (xfract) * (yfract) in 2.22 and adding to acc */ + out = ((y2 * (yfract))); + acc += (((q63_t) out * (xfract))); + + /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */ + return ((q7_t)(acc >> 40)); + } + + /** + * @} end of BilinearInterpolate group + */ + + +/* SMMLAR */ +#define multAcc_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMLSR */ +#define multSub_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32) + +/* SMMULR */ +#define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32) + +/* SMMLA */ +#define multAcc_32x32_keep32(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + +/* SMMLS */ +#define multSub_32x32_keep32(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +/* SMMUL */ +#define mult_32x32_keep32(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + + +#if defined ( __CC_ARM ) + /* Enter low optimization region - place directly above function definition */ + #if defined( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("push") \ + _Pragma ("O1") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_EXIT \ + _Pragma ("pop") + #else + #define LOW_OPTIMIZATION_EXIT + #endif + + /* Enter low optimization region - place directly above function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __GNUC__ ) + #define LOW_OPTIMIZATION_ENTER \ + __attribute__(( optimize("-O1") )) + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __ICCARM__ ) + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define LOW_OPTIMIZATION_EXIT + + /* Enter low optimization region - place directly above function definition */ + #if defined ( __ARM_ARCH_7EM__ ) + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \ + _Pragma ("optimize=low") + #else + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #endif + + /* Exit low optimization region - place directly after end of function definition */ + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TI_ARM__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __CSMC__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( __TASKING__ ) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT + +#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) + #define LOW_OPTIMIZATION_ENTER + #define LOW_OPTIMIZATION_EXIT + #define IAR_ONLY_LOW_OPTIMIZATION_ENTER + #define IAR_ONLY_LOW_OPTIMIZATION_EXIT +#endif + + + +/* Compiler specific diagnostic adjustment */ +#if defined ( __CC_ARM ) + +#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 ) + +#elif defined ( __GNUC__ ) +#pragma GCC diagnostic pop + +#elif defined ( __ICCARM__ ) + +#elif defined ( __TI_ARM__ ) + +#elif defined ( __CSMC__ ) + +#elif defined ( __TASKING__ ) + +#elif defined ( _MSC_VER ) + +#else + #error Unknown compiler +#endif + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_MATH_H */ + +/** + * + * End of file. + */ diff --git a/Firmware/cmsis/dsp/include/arm_mve_tables.h b/Firmware/cmsis/dsp/include/arm_mve_tables.h new file mode 100644 index 0000000..c07f988 --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_mve_tables.h @@ -0,0 +1,235 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mve_tables.h + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * used for MVE implementation only + * + * $Date: 08. January 2020 + * $Revision: V1.7.0 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + + #ifndef _ARM_MVE_TABLES_H + #define _ARM_MVE_TABLES_H + + #include "arm_math.h" + + + + + + +#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2]; +extern float32_t rearranged_twiddle_stride1_16_f32[8]; +extern float32_t rearranged_twiddle_stride2_16_f32[8]; +extern float32_t rearranged_twiddle_stride3_16_f32[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3]; +extern float32_t rearranged_twiddle_stride1_64_f32[40]; +extern float32_t rearranged_twiddle_stride2_64_f32[40]; +extern float32_t rearranged_twiddle_stride3_64_f32[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4]; +extern float32_t rearranged_twiddle_stride1_256_f32[168]; +extern float32_t rearranged_twiddle_stride2_256_f32[168]; +extern float32_t rearranged_twiddle_stride3_256_f32[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5]; +extern float32_t rearranged_twiddle_stride1_1024_f32[680]; +extern float32_t rearranged_twiddle_stride2_1024_f32[680]; +extern float32_t rearranged_twiddle_stride3_1024_f32[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6]; +extern float32_t rearranged_twiddle_stride1_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride2_4096_f32[2728]; +extern float32_t rearranged_twiddle_stride3_4096_f32[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2]; +extern q31_t rearranged_twiddle_stride1_16_q31[8]; +extern q31_t rearranged_twiddle_stride2_16_q31[8]; +extern q31_t rearranged_twiddle_stride3_16_q31[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3]; +extern q31_t rearranged_twiddle_stride1_64_q31[40]; +extern q31_t rearranged_twiddle_stride2_64_q31[40]; +extern q31_t rearranged_twiddle_stride3_64_q31[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4]; +extern q31_t rearranged_twiddle_stride1_256_q31[168]; +extern q31_t rearranged_twiddle_stride2_256_q31[168]; +extern q31_t rearranged_twiddle_stride3_256_q31[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5]; +extern q31_t rearranged_twiddle_stride1_1024_q31[680]; +extern q31_t rearranged_twiddle_stride2_1024_q31[680]; +extern q31_t rearranged_twiddle_stride3_1024_q31[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6]; +extern q31_t rearranged_twiddle_stride1_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride2_4096_q31[2728]; +extern q31_t rearranged_twiddle_stride3_4096_q31[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2]; +extern q15_t rearranged_twiddle_stride1_16_q15[8]; +extern q15_t rearranged_twiddle_stride2_16_q15[8]; +extern q15_t rearranged_twiddle_stride3_16_q15[8]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3]; +extern q15_t rearranged_twiddle_stride1_64_q15[40]; +extern q15_t rearranged_twiddle_stride2_64_q15[40]; +extern q15_t rearranged_twiddle_stride3_64_q15[40]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4]; +extern q15_t rearranged_twiddle_stride1_256_q15[168]; +extern q15_t rearranged_twiddle_stride2_256_q15[168]; +extern q15_t rearranged_twiddle_stride3_256_q15[168]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5]; +extern q15_t rearranged_twiddle_stride1_1024_q15[680]; +extern q15_t rearranged_twiddle_stride2_1024_q15[680]; +extern q15_t rearranged_twiddle_stride3_1024_q15[680]; +#endif + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192) + +extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6]; +extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6]; +extern q15_t rearranged_twiddle_stride1_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride2_4096_q15[2728]; +extern q15_t rearranged_twiddle_stride3_4096_q15[2728]; +#endif + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#if defined(ARM_MATH_MVEI) + +#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) + + +#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */ + +#endif /* defined(ARM_MATH_MVEI) */ + + + +#endif /*_ARM_MVE_TABLES_H*/ + diff --git a/Firmware/cmsis/dsp/include/arm_vec_math.h b/Firmware/cmsis/dsp/include/arm_vec_math.h new file mode 100644 index 0000000..0ce9464 --- /dev/null +++ b/Firmware/cmsis/dsp/include/arm_vec_math.h @@ -0,0 +1,372 @@ +/****************************************************************************** + * @file arm_vec_math.h + * @brief Public header file for CMSIS DSP Library + * @version V1.7.0 + * @date 15. October 2019 + ******************************************************************************/ +/* + * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#ifndef _ARM_VEC_MATH_H +#define _ARM_VEC_MATH_H + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_helium_utils.h" + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#define INV_NEWTON_INIT_F32 0x7EF127EA + +static const float32_t __logf_rng_f32=0.693147180f; + + +/* fast inverse approximation (3x newton) */ +__STATIC_INLINE f32x4_t vrecip_medprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +/* fast inverse approximation (4x newton) */ +__STATIC_INLINE f32x4_t vrecip_hiprec_f32( + f32x4_t x) +{ + q31x4_t m; + f32x4_t b; + any32x4_t xinv; + f32x4_t ax = vabsq(x); + + xinv.f = ax; + + m = 0x3F800000 - (xinv.i & 0x7F800000); + xinv.i = xinv.i + m; + xinv.f = 1.41176471f - 0.47058824f * xinv.f; + xinv.i = xinv.i + m; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + b = 2.0f - xinv.f * ax; + xinv.f = xinv.f * b; + + xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f)); + /* + * restore sign + */ + xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f)); + + return xinv.f; +} + +__STATIC_INLINE f32x4_t vdiv_f32( + f32x4_t num, f32x4_t den) +{ + return vmulq(num, vrecip_hiprec_f32(den)); +} + +/** + @brief Single-precision taylor dev. + @param[in] x f32 quad vector input + @param[in] coeffs f32 quad vector coeffs + @return destination f32 quad vector + */ + +__STATIC_INLINE f32x4_t vtaylor_polyq_f32( + f32x4_t x, + const float32_t * coeffs) +{ + f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]); + f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]); + f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]); + f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]); + f32x4_t x2 = vmulq(x, x); + f32x4_t x4 = vmulq(x2, x2); + f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4); + + return res; +} + +__STATIC_INLINE f32x4_t vmant_exp_f32( + f32x4_t x, + int32x4_t * e) +{ + any32x4_t r; + int32x4_t n; + + r.f = x; + n = r.i >> 23; + n = n - 127; + r.i = r.i - (n << 23); + + *e = n; + return r.f; +} + + +__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn) +{ + q31x4_t vecExpUnBiased; + f32x4_t vecTmpFlt0, vecTmpFlt1; + f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3; + f32x4_t vecExpUnBiasedFlt; + + /* + * extract exponent + */ + vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased); + + vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1; + /* + * a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]); + */ + vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]); + vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]); + /* + * b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]); + */ + vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]); + vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]); + /* + * c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]); + */ + vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]); + vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]); + /* + * d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]); + */ + vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]); + vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]); + /* + * a = a + b * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0); + /* + * c = c + d * xx; + */ + vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0); + /* + * xx = xx * xx; + */ + vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0; + vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased); + /* + * r.f = a + c * xx; + */ + vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0); + /* + * add exponent + * r.f = r.f + ((float32_t) m) * __logf_rng_f32; + */ + vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32); + // set log0 down to -inf + vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f)); + return vecAcc0; +} + +__STATIC_INLINE f32x4_t vexpq_f32( + f32x4_t x) +{ + // Perform range reduction [-log(2),log(2)] + int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f)); + f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f)); + + // Polynomial Approximation + f32x4_t poly = vtaylor_polyq_f32(val, exp_tab); + + // Reconstruct + poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23))); + + poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126)); + return poly; +} + +__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb) +{ + f32x4_t r = x; + nb--; + while (nb > 0) { + r = vmulq(r, x); + nb--; + } + return (r); +} + +__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn) +{ + f32x4_t vecSx, vecW, vecTmp; + any32x4_t v; + + vecSx = vabsq(vecIn); + + v.f = vecIn; + v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i); + + vecW = vmulq(vecSx, v.f); + + // v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w))))))); + vecTmp = vsubq(vdupq_n_f32(8.0f), vecW); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -70.0f); + vecTmp = vfmasq(vecW, vecTmp, 56.0f); + vecTmp = vfmasq(vecW, vecTmp, -28.0f); + vecTmp = vfmasq(vecW, vecTmp, 8.0f); + v.f = vmulq(v.f, vecTmp); + + v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f)); + /* + * restore sign + */ + v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f)); + return v.f; +} + +__STATIC_INLINE f32x4_t vtanhq_f32( + f32x4_t val) +{ + f32x4_t x = + vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f)); + f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f)); + f32x4_t num = vsubq_n_f32(exp2x, 1.f); + f32x4_t den = vaddq_n_f32(exp2x, 1.f); + f32x4_t tanh = vmulq_f32(num, vrecip_f32(den)); + return tanh; +} + +__STATIC_INLINE f32x4_t vpowq_f32( + f32x4_t val, + f32x4_t n) +{ + return vexpq_f32(vmulq_f32(n, vlogq_f32(val))); +} + +#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/ + +#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) +#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */ + +#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) + +#include "NEMath.h" +/** + * @brief Vectorized integer exponentiation + * @param[in] x value + * @param[in] nb integer exponent >= 1 + * @return x^nb + * + */ +__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb) +{ + float32x4_t r = x; + nb --; + while(nb > 0) + { + r = vmulq_f32(r , x); + nb--; + } + return(r); +} + + +__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x) +{ + float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN)); + float32x4_t e = vrsqrteq_f32(x1); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e); + return vmulq_f32(x, e); +} + +__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec) +{ + float32x4_t tempF; + int32x4_t tempHI,tempLO; + + tempLO = vmovl_s16(vget_low_s16(vec)); + tempF = vcvtq_n_f32_s32(tempLO,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempLO = vcvtq_n_s32_f32(tempF,15); + + tempHI = vmovl_s16(vget_high_s16(vec)); + tempF = vcvtq_n_f32_s32(tempHI,15); + tempF = __arm_vec_sqrt_f32_neon(tempF); + tempHI = vcvtq_n_s32_f32(tempF,15); + + return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI))); +} + +__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec) +{ + float32x4_t temp; + + temp = vcvtq_n_f32_s32(vec,31); + temp = __arm_vec_sqrt_f32_neon(temp); + return(vcvtq_n_s32_f32(temp,31)); +} + +#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */ + +#ifdef __cplusplus +} +#endif + + +#endif /* _ARM_VEC_MATH_H */ + +/** + * + * End of file. + */ diff --git a/Firmware/drivers/ReleaseNotes_AT32A423_Firmware_Library_Drivers.pdf b/Firmware/drivers/ReleaseNotes_AT32A423_Firmware_Library_Drivers.pdf new file mode 100644 index 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zn5+!f4`U^{=MD_#X{>HfQY2v)YfQ7##aQU9xggTHTdUi8!Jn_1sBX4fl|rayP)mG@5j#mcNiDiOEMczkqv+%_8r3vKfs d$sL~cv%7AU)AHMOzPPo^K{cPZ29dPR`x{$_7Bm0= literal 0 HcmV?d00001 diff --git a/Firmware/drivers/inc/at32a423_acc.h b/Firmware/drivers/inc/at32a423_acc.h new file mode 100644 index 0000000..67ac3b1 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_acc.h @@ -0,0 +1,201 @@ +/** + ************************************************************************** + * @file at32a423_acc.h + * @brief at32a423 acc header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_ACC_H +#define __AT32A423_ACC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup ACC + * @{ + */ + +/** @defgroup ACC_exported_constants + * @{ + */ + +#define ACC_CAL_HICKCAL ((uint16_t)0x0000) /*!< acc hick calibration */ +#define ACC_CAL_HICKTRIM ((uint16_t)0x0002) /*!< acc hick trim */ + +#define ACC_RSLOST_FLAG ((uint16_t)0x0002) /*!< acc reference signal lost error flag */ +#define ACC_CALRDY_FLAG ((uint16_t)0x0001) /*!< acc internal high-speed clock calibration ready error flag */ + +#define ACC_CALRDYIEN_INT ((uint16_t)0x0020) /*!< acc internal high-speed clock calibration ready interrupt enable */ +#define ACC_EIEN_INT ((uint16_t)0x0010) /*!< acc reference signal lost interrupt enable */ + + +/** + * @} + */ + +/** @defgroup ACC_exported_types + * @{ + */ + +/** + * @brief type define acc register all + */ +typedef struct +{ + + /** + * @brief acc sts register, offset:0x00 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t calrdy : 1; /* [0] */ + __IO uint32_t rslost : 1; /* [1] */ + __IO uint32_t reserved1 : 30;/* [31:2] */ + } sts_bit; + }; + + /** + * @brief acc ctrl1 register, offset:0x04 + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t calon : 1; /* [0] */ + __IO uint32_t entrim : 1; /* [1] */ + __IO uint32_t reserved1 : 2; /* [3:2] */ + __IO uint32_t eien : 1; /* [4] */ + __IO uint32_t calrdyien : 1; /* [5] */ + __IO uint32_t reserved2 : 2; /* [7:6] */ + __IO uint32_t step : 4; /* [11:8] */ + __IO uint32_t reserved3 : 20;/* [31:12] */ + } ctrl1_bit; + }; + + /** + * @brief acc ctrl2 register, offset:0x08 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t hickcal : 8; /* [7:0] */ + __IO uint32_t hicktrim : 6; /* [13:8] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } ctrl2_bit; + }; + + /** + * @brief acc acc_c1 register, offset:0x0C + */ + union + { + __IO uint32_t c1; + struct + { + __IO uint32_t c1 : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } c1_bit; + }; + + /** + * @brief acc acc_c2 register, offset:0x10 + */ + union + { + __IO uint32_t c2; + struct + { + __IO uint32_t c2 : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } c2_bit; + }; + + /** + * @brief acc acc_c3 register, offset:0x14 + */ + union + { + __IO uint32_t c3; + struct + { + __IO uint32_t c3 : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } c3_bit; + }; +} acc_type; + +/** + * @} + */ + +#define ACC ((acc_type *) ACC_BASE) + +/** @defgroup ACC_exported_functions + * @{ + */ + +void acc_calibration_mode_enable(uint16_t acc_trim, confirm_state new_state); +void acc_step_set(uint8_t step_value); +void acc_interrupt_enable(uint16_t acc_int, confirm_state new_state); +uint8_t acc_hicktrim_get(void); +uint8_t acc_hickcal_get(void); +void acc_write_c1(uint16_t acc_c1_value); +void acc_write_c2(uint16_t acc_c2_value); +void acc_write_c3(uint16_t acc_c3_value); +uint16_t acc_read_c1(void); +uint16_t acc_read_c2(void); +uint16_t acc_read_c3(void); +flag_status acc_flag_get(uint16_t acc_flag); +flag_status acc_interrupt_flag_get(uint16_t acc_flag); +void acc_flag_clear(uint16_t acc_flag); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_adc.h b/Firmware/drivers/inc/at32a423_adc.h new file mode 100644 index 0000000..cb11d54 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_adc.h @@ -0,0 +1,887 @@ +/** + ************************************************************************** + * @file at32a423_adc.h + * @brief at32a423 adc header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_ADC_H +#define __AT32A423_ADC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup ADC + * @{ + */ + +/** @defgroup ADC_interrupts_definition + * @brief adc interrupt + * @{ + */ + +#define ADC_OCCE_INT ((uint32_t)0x00000020) /*!< ordinary channels conversion end interrupt */ +#define ADC_VMOR_INT ((uint32_t)0x00000040) /*!< voltage monitoring out of range interrupt */ +#define ADC_PCCE_INT ((uint32_t)0x00000080) /*!< preempt channels conversion end interrupt */ +#define ADC_OCCO_INT ((uint32_t)0x04000000) /*!< ordinary channel conversion overflow interrupt */ + +/** + * @} + */ + +/** @defgroup ADC_flags_definition + * @brief adc flag + * @{ + */ + +#define ADC_VMOR_FLAG ((uint8_t)0x01) /*!< voltage monitoring out of range flag */ +#define ADC_OCCE_FLAG ((uint8_t)0x02) /*!< ordinary channels conversion end flag */ +#define ADC_PCCE_FLAG ((uint8_t)0x04) /*!< preempt channels conversion end flag */ +#define ADC_PCCS_FLAG ((uint8_t)0x08) /*!< preempt channel conversion start flag */ +#define ADC_OCCS_FLAG ((uint8_t)0x10) /*!< ordinary channel conversion start flag */ +#define ADC_OCCO_FLAG ((uint8_t)0x20) /*!< ordinary channel conversion overflow flag */ +#define ADC_RDY_FLAG ((uint8_t)0x40) /*!< adc ready to conversion flag */ + +/** + * @} + */ + +/** @defgroup ADC_exported_types + * @{ + */ + +/** + * @brief adc division type + */ +typedef enum +{ + ADC_HCLK_DIV_2 = 0x00, /*!< adcclk is hclk/2 */ + ADC_HCLK_DIV_3 = 0x01, /*!< adcclk is hclk/3 */ + ADC_HCLK_DIV_4 = 0x02, /*!< adcclk is hclk/4 */ + ADC_HCLK_DIV_5 = 0x03, /*!< adcclk is hclk/5 */ + ADC_HCLK_DIV_6 = 0x04, /*!< adcclk is hclk/6 */ + ADC_HCLK_DIV_7 = 0x05, /*!< adcclk is hclk/7 */ + ADC_HCLK_DIV_8 = 0x06, /*!< adcclk is hclk/8 */ + ADC_HCLK_DIV_9 = 0x07, /*!< adcclk is hclk/9 */ + ADC_HCLK_DIV_10 = 0x08, /*!< adcclk is hclk/10 */ + ADC_HCLK_DIV_11 = 0x09, /*!< adcclk is hclk/11 */ + ADC_HCLK_DIV_12 = 0x0A, /*!< adcclk is hclk/12 */ + ADC_HCLK_DIV_13 = 0x0B, /*!< adcclk is hclk/13 */ + ADC_HCLK_DIV_14 = 0x0C, /*!< adcclk is hclk/14 */ + ADC_HCLK_DIV_15 = 0x0D, /*!< adcclk is hclk/15 */ + ADC_HCLK_DIV_16 = 0x0E, /*!< adcclk is hclk/16 */ + ADC_HCLK_DIV_17 = 0x0F /*!< adcclk is hclk/17 */ +} adc_div_type; + + +/** + * @brief adc conversion resolution type + */ +typedef enum +{ + ADC_RESOLUTION_12B = 0x00, /*!< conversion resolution 12 bit */ + ADC_RESOLUTION_10B = 0x01, /*!< conversion resolution 10 bit */ + ADC_RESOLUTION_8B = 0x02, /*!< conversion resolution 8 bit */ + ADC_RESOLUTION_6B = 0x03 /*!< conversion resolution 6 bit */ +} adc_resolution_type; + +/** + * @brief adc data align type + */ +typedef enum +{ + ADC_RIGHT_ALIGNMENT = 0x00, /*!< data right alignment */ + ADC_LEFT_ALIGNMENT = 0x01 /*!< data left alignment */ +} adc_data_align_type; + +/** + * @brief adc channel select type + */ +typedef enum +{ + ADC_CHANNEL_0 = 0x00, /*!< adc channel 0 */ + ADC_CHANNEL_1 = 0x01, /*!< adc channel 1 */ + ADC_CHANNEL_2 = 0x02, /*!< adc channel 2 */ + ADC_CHANNEL_3 = 0x03, /*!< adc channel 3 */ + ADC_CHANNEL_4 = 0x04, /*!< adc channel 4 */ + ADC_CHANNEL_5 = 0x05, /*!< adc channel 5 */ + ADC_CHANNEL_6 = 0x06, /*!< adc channel 6 */ + ADC_CHANNEL_7 = 0x07, /*!< adc channel 7 */ + ADC_CHANNEL_8 = 0x08, /*!< adc channel 8 */ + ADC_CHANNEL_9 = 0x09, /*!< adc channel 9 */ + ADC_CHANNEL_10 = 0x0A, /*!< adc channel 10 */ + ADC_CHANNEL_11 = 0x0B, /*!< adc channel 11 */ + ADC_CHANNEL_12 = 0x0C, /*!< adc channel 12 */ + ADC_CHANNEL_13 = 0x0D, /*!< adc channel 13 */ + ADC_CHANNEL_14 = 0x0E, /*!< adc channel 14 */ + ADC_CHANNEL_15 = 0x0F, /*!< adc channel 15 */ + ADC_CHANNEL_16 = 0x10, /*!< adc channel 16 */ + ADC_CHANNEL_17 = 0x11, /*!< adc channel 17 */ + ADC_CHANNEL_20 = 0x14, /*!< adc channel 20 */ + ADC_CHANNEL_21 = 0x15, /*!< adc channel 21 */ + ADC_CHANNEL_22 = 0x16, /*!< adc channel 22 */ + ADC_CHANNEL_23 = 0x17, /*!< adc channel 23 */ + ADC_CHANNEL_24 = 0x18, /*!< adc channel 24 */ + ADC_CHANNEL_25 = 0x19, /*!< adc channel 25 */ + ADC_CHANNEL_26 = 0x1A, /*!< adc channel 26 */ + ADC_CHANNEL_27 = 0x1B /*!< adc channel 27 */ +} adc_channel_select_type; + +/** + * @brief adc sampletime select type + */ +typedef enum +{ + ADC_SAMPLETIME_2_5 = 0x00, /*!< adc sample time 2.5 cycle */ + ADC_SAMPLETIME_6_5 = 0x01, /*!< adc sample time 6.5 cycle */ + ADC_SAMPLETIME_12_5 = 0x02, /*!< adc sample time 12.5 cycle */ + ADC_SAMPLETIME_24_5 = 0x03, /*!< adc sample time 24.5 cycle */ + ADC_SAMPLETIME_47_5 = 0x04, /*!< adc sample time 47.5 cycle */ + ADC_SAMPLETIME_92_5 = 0x05, /*!< adc sample time 92.5 cycle */ + ADC_SAMPLETIME_247_5 = 0x06, /*!< adc sample time 247.5 cycle */ + ADC_SAMPLETIME_640_5 = 0x07 /*!< adc sample time 640.5 cycle */ +} adc_sampletime_select_type; + +/** + * @brief adc ordinary group trigger event select type + */ +typedef enum +{ + ADC_ORDINARY_TRIG_TMR1TRGOUT = 0x00, /*!< timer1 trgout event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_TMR1CH4 = 0x01, /*!< timer1 ch4 event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_TMR2TRGOUT = 0x02, /*!< timer2 trgout event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_TMR3TRGOUT = 0x03, /*!< timer3 trgout event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_TMR9TRGOUT = 0x04, /*!< timer9 trgout event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_TMR1CH1 = 0x05, /*!< timer1 ch1 event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_EXINT11 = 0x06, /*!< exint line11 event as trigger source of ordinary sequence */ + ADC_ORDINARY_TRIG_SOFTWARE = 0x07 /*!< software(OCSWTRG) as trigger source of ordinary sequence */ +} adc_ordinary_trig_select_type; + +/** + * @brief adc ordinary channel conversion's external_trigger_edge type + */ +typedef enum +{ + ADC_ORDINARY_TRIG_EDGE_NONE = 0x00, /*!< ordinary channels trigger detection disabled */ + ADC_ORDINARY_TRIG_EDGE_RISING = 0x01, /*!< ordinary channels trigger detection on the rising edge */ + ADC_ORDINARY_TRIG_EDGE_FALLING = 0x02, /*!< ordinary channels trigger detection on the falling edge */ + ADC_ORDINARY_TRIG_EDGE_RISING_FALLING = 0x03 /*!< ordinary channels trigger detection on both the rising and falling edges */ +} adc_ordinary_trig_edge_type; + +/** + * @brief adc preempt group external trigger event select type + */ +typedef enum +{ + ADC_PREEMPT_TRIG_TMR1CH2 = 0x00, /*!< timer1 ch2 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_TMR1CH3 = 0x01, /*!< timer1 ch3 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_TMR2CH4 = 0x02, /*!< timer2 ch4 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_TMR3CH4 = 0x03, /*!< timer3 ch4 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_TMR9CH1 = 0x04, /*!< timer9 ch1 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_TMR6TRGOUT = 0x05, /*!< timer6 trgout event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_EXINT15 = 0x06, /*!< exint line15 event as trigger source of preempt sequence */ + ADC_PREEMPT_TRIG_SOFTWARE = 0x07 /*!< software(PCSWTRG) as trigger source of preempt sequence */ +} adc_preempt_trig_select_type; + +/** + * @brief adc preempt channel conversion's external_trigger_edge type + */ +typedef enum +{ + ADC_PREEMPT_TRIG_EDGE_NONE = 0x00, /*!< preempt channels trigger detection disabled */ + ADC_PREEMPT_TRIG_EDGE_RISING = 0x01, /*!< preempt channels trigger detection on the rising edge */ + ADC_PREEMPT_TRIG_EDGE_FALLING = 0x02, /*!< preempt channels trigger detection on the falling edge */ + ADC_PREEMPT_TRIG_EDGE_RISING_FALLING = 0x03 /*!< preempt channels trigger detection on both the rising and falling edges */ +} adc_preempt_trig_edge_type; + +/** + * @brief adc preempt channel type + */ +typedef enum +{ + ADC_PREEMPT_CHANNEL_1 = 0x00, /*!< adc preempt channel 1 */ + ADC_PREEMPT_CHANNEL_2 = 0x01, /*!< adc preempt channel 2 */ + ADC_PREEMPT_CHANNEL_3 = 0x02, /*!< adc preempt channel 3 */ + ADC_PREEMPT_CHANNEL_4 = 0x03 /*!< adc preempt channel 4 */ +} adc_preempt_channel_type; + +/** + * @brief adc voltage_monitoring type + */ +typedef enum +{ + ADC_VMONITOR_SINGLE_ORDINARY = 0x00800200, /*!< voltage_monitoring on a single ordinary channel */ + ADC_VMONITOR_SINGLE_PREEMPT = 0x00400200, /*!< voltage_monitoring on a single preempt channel */ + ADC_VMONITOR_SINGLE_ORDINARY_PREEMPT = 0x00C00200, /*!< voltage_monitoring on a single ordinary or preempt channel */ + ADC_VMONITOR_ALL_ORDINARY = 0x00800000, /*!< voltage_monitoring on all ordinary channel */ + ADC_VMONITOR_ALL_PREEMPT = 0x00400000, /*!< voltage_monitoring on all preempt channel */ + ADC_VMONITOR_ALL_ORDINARY_PREEMPT = 0x00C00000, /*!< voltage_monitoring on all ordinary and preempt channel */ + ADC_VMONITOR_NONE = 0x00000000 /*!< no channel guarded by the voltage_monitoring */ +} adc_voltage_monitoring_type; + +/** + * @brief adc oversample ratio type + */ +typedef enum +{ + ADC_OVERSAMPLE_RATIO_2 = 0x00, /*!< adc oversample ratio 2 */ + ADC_OVERSAMPLE_RATIO_4 = 0x01, /*!< adc oversample ratio 4 */ + ADC_OVERSAMPLE_RATIO_8 = 0x02, /*!< adc oversample ratio 8 */ + ADC_OVERSAMPLE_RATIO_16 = 0x03, /*!< adc oversample ratio 16 */ + ADC_OVERSAMPLE_RATIO_32 = 0x04, /*!< adc oversample ratio 32 */ + ADC_OVERSAMPLE_RATIO_64 = 0x05, /*!< adc oversample ratio 64 */ + ADC_OVERSAMPLE_RATIO_128 = 0x06, /*!< adc oversample ratio 128 */ + ADC_OVERSAMPLE_RATIO_256 = 0x07 /*!< adc oversample ratio 256 */ +} adc_oversample_ratio_type; + +/** + * @brief adc oversample shift type + */ +typedef enum +{ + ADC_OVERSAMPLE_SHIFT_0 = 0x00, /*!< adc oversample shift 0 */ + ADC_OVERSAMPLE_SHIFT_1 = 0x01, /*!< adc oversample shift 1 */ + ADC_OVERSAMPLE_SHIFT_2 = 0x02, /*!< adc oversample shift 2 */ + ADC_OVERSAMPLE_SHIFT_3 = 0x03, /*!< adc oversample shift 3 */ + ADC_OVERSAMPLE_SHIFT_4 = 0x04, /*!< adc oversample shift 4 */ + ADC_OVERSAMPLE_SHIFT_5 = 0x05, /*!< adc oversample shift 5 */ + ADC_OVERSAMPLE_SHIFT_6 = 0x06, /*!< adc oversample shift 6 */ + ADC_OVERSAMPLE_SHIFT_7 = 0x07, /*!< adc oversample shift 7 */ + ADC_OVERSAMPLE_SHIFT_8 = 0x08 /*!< adc oversample shift 8 */ +} adc_oversample_shift_type; + +/** + * @brief adc ordinary oversample recover type + */ +typedef enum +{ + ADC_OVERSAMPLE_CONTINUE = 0x00, /*!< continue mode:when preempt triggered,oversampling is temporary stopped and continued after preempt sequence */ + ADC_OVERSAMPLE_RESTART = 0x01 /*!< restart mode:when preempt triggered,oversampling is aborted and resumed from start after preempt sequence */ +} adc_ordinary_oversample_restart_type; + +/** + * @brief adc common config type + */ +typedef struct +{ + adc_div_type div; /*!< adc division select */ + confirm_state tempervintrv_state; /*!< adc temperature sensor and vintrv state */ +} adc_common_config_type; + +/** + * @brief adc base config type + */ +typedef struct +{ + confirm_state sequence_mode; /*!< adc sequence mode */ + confirm_state repeat_mode; /*!< adc repeat mode */ + adc_data_align_type data_align; /*!< adc data alignment */ + uint8_t ordinary_channel_length; /*!< adc ordinary channel sequence length*/ +} adc_base_config_type; + +/** + * @brief type define adc register all + */ +typedef struct +{ + + /** + * @brief adc sts register, offset:0x00 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t vmor : 1; /* [0] */ + __IO uint32_t occe : 1; /* [1] */ + __IO uint32_t pcce : 1; /* [2] */ + __IO uint32_t pccs : 1; /* [3] */ + __IO uint32_t occs : 1; /* [4] */ + __IO uint32_t occo : 1; /* [5] */ + __IO uint32_t rdy : 1; /* [6] */ + __IO uint32_t reserved1 : 25;/* [31:7] */ + } sts_bit; + }; + + /** + * @brief adc ctrl1 register, offset:0x04 + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t vmcsel : 5; /* [4:0] */ + __IO uint32_t occeien : 1; /* [5] */ + __IO uint32_t vmorien : 1; /* [6] */ + __IO uint32_t pcceien : 1; /* [7] */ + __IO uint32_t sqen : 1; /* [8] */ + __IO uint32_t vmsgen : 1; /* [9] */ + __IO uint32_t pcautoen : 1; /* [10] */ + __IO uint32_t ocpen : 1; /* [11] */ + __IO uint32_t pcpen : 1; /* [12] */ + __IO uint32_t ocpcnt : 3; /* [15:13] */ + __IO uint32_t reserved1 : 6; /* [21:16] */ + __IO uint32_t pcvmen : 1; /* [22] */ + __IO uint32_t ocvmen : 1; /* [23] */ + __IO uint32_t crsel : 2; /* [25:24] */ + __IO uint32_t occoien : 1; /* [26] */ + __IO uint32_t reserved2 : 5; /* [31:27] */ + } ctrl1_bit; + }; + + /** + * @brief adc ctrl2 register, offset:0x08 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t adcen : 1; /* [0] */ + __IO uint32_t rpen : 1; /* [1] */ + __IO uint32_t adcal : 1; /* [2] */ + __IO uint32_t adcalinit : 1; /* [3] */ + __IO uint32_t adabrt : 1; /* [4] */ + __IO uint32_t reserved1 : 3; /* [7:5] */ + __IO uint32_t ocdmaen : 1; /* [8] */ + __IO uint32_t ocdrcen : 1; /* [9] */ + __IO uint32_t eocsfen : 1; /* [10] */ + __IO uint32_t dtalign : 1; /* [11] */ + __IO uint32_t reserved2 : 4; /* [15:12] */ + __IO uint32_t pctesel : 4; /* [19:16] */ + __IO uint32_t pcete : 2; /* [21:20] */ + __IO uint32_t pcswtrg : 1; /* [22] */ + __IO uint32_t reserved3 : 1; /* [23] */ + __IO uint32_t octesel : 4; /* [27:24] */ + __IO uint32_t ocete : 2; /* [29:28] */ + __IO uint32_t ocswtrg : 1; /* [30] */ + __IO uint32_t reserved4 : 1; /* [31] */ + } ctrl2_bit; + }; + + /** + * @brief adc spt1 register, offset:0x0C + */ + union + { + __IO uint32_t spt1; + struct + { + __IO uint32_t cspt10 : 3; /* [2:0] */ + __IO uint32_t cspt11 : 3; /* [5:3] */ + __IO uint32_t cspt12 : 3; /* [8:6] */ + __IO uint32_t cspt13 : 3; /* [11:9] */ + __IO uint32_t cspt14 : 3; /* [14:12] */ + __IO uint32_t cspt15 : 3; /* [17:15] */ + __IO uint32_t cspt16 : 3; /* [20:18] */ + __IO uint32_t cspt17 : 3; /* [23:21] */ + __IO uint32_t cspt18 : 3; /* [26:24] */ + __IO uint32_t reserved1 : 5;/* [31:27] */ + } spt1_bit; + }; + + /** + * @brief adc spt2 register, offset:0x10 + */ + union + { + __IO uint32_t spt2; + struct + { + __IO uint32_t cspt0 : 3;/* [2:0] */ + __IO uint32_t cspt1 : 3;/* [5:3] */ + __IO uint32_t cspt2 : 3;/* [8:6] */ + __IO uint32_t cspt3 : 3;/* [11:9] */ + __IO uint32_t cspt4 : 3;/* [14:12] */ + __IO uint32_t cspt5 : 3;/* [17:15] */ + __IO uint32_t cspt6 : 3;/* [20:18] */ + __IO uint32_t cspt7 : 3;/* [23:21] */ + __IO uint32_t cspt8 : 3;/* [26:24] */ + __IO uint32_t cspt9 : 3;/* [29:27] */ + __IO uint32_t reserved1 : 2;/* [31:30] */ + } spt2_bit; + }; + + /** + * @brief adc pcdto1 register, offset:0x14 + */ + union + { + __IO uint32_t pcdto1; + struct + { + __IO uint32_t pcdto1 : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } pcdto1_bit; + }; + + /** + * @brief adc pcdto2 register, offset:0x18 + */ + union + { + __IO uint32_t pcdto2; + struct + { + __IO uint32_t pcdto2 : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } pcdto2_bit; + }; + + /** + * @brief adc pcdto3 register, offset:0x1C + */ + union + { + __IO uint32_t pcdto3; + struct + { + __IO uint32_t pcdto3 : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } pcdto3_bit; + }; + + /** + * @brief adc pcdto4 register, offset:0x20 + */ + union + { + __IO uint32_t pcdto4; + struct + { + __IO uint32_t pcdto4 : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } pcdto4_bit; + }; + + /** + * @brief adc vmhb register, offset:0x24 + */ + union + { + __IO uint32_t vmhb; + struct + { + __IO uint32_t vmhb : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } vmhb_bit; + }; + + /** + * @brief adc vmlb register, offset:0x28 + */ + union + { + __IO uint32_t vmlb; + struct + { + __IO uint32_t vmlb : 12; /* [11:0] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } vmlb_bit; + }; + + /** + * @brief adc osq1 register, offset:0x2C + */ + union + { + __IO uint32_t osq1; + struct + { + __IO uint32_t osn13 : 5; /* [4:0] */ + __IO uint32_t osn14 : 5; /* [9:5] */ + __IO uint32_t osn15 : 5; /* [14:10] */ + __IO uint32_t osn16 : 5; /* [19:15] */ + __IO uint32_t oclen : 5; /* [24:20] */ + __IO uint32_t reserved1 : 7; /* [31:25] */ + } osq1_bit; + }; + + /** + * @brief adc osq2 register, offset:0x30 + */ + union + { + __IO uint32_t osq2; + struct + { + __IO uint32_t osn7 : 5; /* [4:0] */ + __IO uint32_t osn8 : 5; /* [9:5] */ + __IO uint32_t osn9 : 5; /* [14:10] */ + __IO uint32_t osn10 : 5; /* [19:15] */ + __IO uint32_t osn11 : 5; /* [24:20] */ + __IO uint32_t osn12 : 5; /* [29:25] */ + __IO uint32_t reserved1 : 2; /* [31:30] */ + } osq2_bit; + }; + + /** + * @brief adc osq3 register, offset:0x34 + */ + union + { + __IO uint32_t osq3; + struct + { + __IO uint32_t osn1 : 5; /* [4:0] */ + __IO uint32_t osn2 : 5; /* [9:5] */ + __IO uint32_t osn3 : 5; /* [14:10] */ + __IO uint32_t osn4 : 5; /* [19:15] */ + __IO uint32_t osn5 : 5; /* [24:20] */ + __IO uint32_t osn6 : 5; /* [29:25] */ + __IO uint32_t reserved1 : 2; /* [31:30] */ + } osq3_bit; + }; + + /** + * @brief adc psq register, offset:0x38 + */ + union + { + __IO uint32_t psq; + struct + { + __IO uint32_t psn1 : 5; /* [4:0] */ + __IO uint32_t psn2 : 5; /* [9:5] */ + __IO uint32_t psn3 : 5; /* [14:10] */ + __IO uint32_t psn4 : 5; /* [19:15] */ + __IO uint32_t pclen : 2; /* [21:20] */ + __IO uint32_t reserved1 : 10;/* [31:22] */ + } psq_bit; + }; + + /** + * @brief adc pdt1 register, offset:0x3C + */ + union + { + __IO uint32_t pdt1; + struct + { + __IO uint32_t pdt1 : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } pdt1_bit; + }; + + /** + * @brief adc pdt2 register, offset:0x40 + */ + union + { + __IO uint32_t pdt2; + struct + { + __IO uint32_t pdt2 : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } pdt2_bit; + }; + + /** + * @brief adc pdt3 register, offset:0x44 + */ + union + { + __IO uint32_t pdt3; + struct + { + __IO uint32_t pdt3 : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } pdt3_bit; + }; + + /** + * @brief adc pdt4 register, offset:0x48 + */ + union + { + __IO uint32_t pdt4; + struct + { + __IO uint32_t pdt4 : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } pdt4_bit; + }; + + /** + * @brief adc odt register, offset:0x4C + */ + union + { + __IO uint32_t odt; + struct + { + __IO uint32_t odt : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } odt_bit; + }; + + /** + * @brief adc spt3 register, offset:0x50 + */ + union + { + __IO uint32_t spt3; + struct + { + __IO uint32_t cspt20 : 3;/* [2:0] */ + __IO uint32_t cspt21 : 3;/* [5:3] */ + __IO uint32_t cspt22 : 3;/* [8:6] */ + __IO uint32_t cspt23 : 3;/* [11:9] */ + __IO uint32_t cspt24 : 3;/* [14:12] */ + __IO uint32_t cspt25 : 3;/* [17:15] */ + __IO uint32_t cspt26 : 3;/* [20:18] */ + __IO uint32_t cspt27 : 3;/* [23:21] */ + __IO uint32_t reserved1 : 8;/* [31:24] */ + } spt3_bit; + }; + + /** + * @brief adc osq4 register, offset:0x54 + */ + union + { + __IO uint32_t osq4; + struct + { + __IO uint32_t osn17 : 5; /* [4:0] */ + __IO uint32_t osn18 : 5; /* [9:5] */ + __IO uint32_t osn19 : 5; /* [14:10] */ + __IO uint32_t osn20 : 5; /* [19:15] */ + __IO uint32_t osn21 : 5; /* [24:20] */ + __IO uint32_t osn22 : 5; /* [29:25] */ + __IO uint32_t reserved1 : 2; /* [31:30] */ + } osq4_bit; + }; + + /** + * @brief adc osq5 register, offset:0x58 + */ + union + { + __IO uint32_t osq5; + struct + { + __IO uint32_t osn23 : 5; /* [4:0] */ + __IO uint32_t osn24 : 5; /* [9:5] */ + __IO uint32_t osn25 : 5; /* [14:10] */ + __IO uint32_t osn26 : 5; /* [19:15] */ + __IO uint32_t osn27 : 5; /* [24:20] */ + __IO uint32_t osn28 : 5; /* [29:25] */ + __IO uint32_t reserved1 : 2; /* [31:30] */ + } osq5_bit; + }; + + /** + * @brief adc osq6 register, offset:0x5c + */ + union + { + __IO uint32_t osq6; + struct + { + __IO uint32_t osn29 : 5; /* [4:0] */ + __IO uint32_t osn30 : 5; /* [9:5] */ + __IO uint32_t osn31 : 5; /* [14:10] */ + __IO uint32_t osn32 : 5; /* [19:15] */ + __IO uint32_t reserved1 : 12; /* [31:20] */ + } osq6_bit; + }; + + __IO uint32_t reserved1[8]; + + /** + * @brief adc ovsp register, offset:0x80 + */ + union + { + __IO uint32_t ovsp; + struct + { + __IO uint32_t oosen : 1; /* [0] */ + __IO uint32_t posen : 1; /* [1] */ + __IO uint32_t osrsel : 3; /* [4:2] */ + __IO uint32_t osssel : 4; /* [8:5] */ + __IO uint32_t oostren : 1; /* [9] */ + __IO uint32_t oosrsel : 1; /* [10] */ + __IO uint32_t reserved1 : 21; /* [31:11] */ + } ovsp_bit; + }; + + __IO uint32_t reserved2[12]; + + /** + * @brief adc calval register, offset:0xB4 + */ + union + { + __IO uint32_t calval; + struct + { + __IO uint32_t calval : 7; /* [6:0] */ + __IO uint32_t reserved1 : 25; /* [31:7] */ + } calval_bit; + }; + + __IO uint32_t reserved3[6]; + + /** + * @brief adc misc register, offset:0xD0 + */ + union + { + __IO uint32_t misc; + struct + { + __IO uint32_t xtest : 6; /* [5:0] */ + __IO uint32_t reserved1 : 26; /* [31:6] */ + } misc_bit; + }; +} adc_type; + +/** + * @brief type define adc register all + */ +typedef struct +{ + + /** + * @brief adc csts register, offset:0x00 + */ + union + { + __IO uint32_t csts; + struct + { + __IO uint32_t vmor1 : 1; /* [0] */ + __IO uint32_t occe1 : 1; /* [1] */ + __IO uint32_t pcce1 : 1; /* [2] */ + __IO uint32_t pccs1 : 1; /* [3] */ + __IO uint32_t occs1 : 1; /* [4] */ + __IO uint32_t occo1 : 1; /* [5] */ + __IO uint32_t rdy1 : 1; /* [6] */ + __IO uint32_t reserved1 : 25; /* [31:7] */ + } csts_bit; + }; + + /** + * @brief adc cctrl register, offset:0x04 + */ + union + { + __IO uint32_t cctrl; + struct + { + __IO uint32_t reserved1 : 16; /* [15:0] */ + __IO uint32_t adcdiv : 4; /* [19:16] */ + __IO uint32_t reserved2 : 3; /* [22:20] */ + __IO uint32_t itsrven : 1; /* [23] */ + __IO uint32_t reserved3 : 8; /* [31:24] */ + } cctrl_bit; + }; + +} adccom_type; + +/** + * @} + */ + +#define ADC1 ((adc_type *) ADC1_BASE) +#define ADCCOM ((adccom_type *) ADCCOM_BASE) + +/** @defgroup ADC_exported_functions + * @{ + */ + +void adc_reset(void); +void adc_enable(adc_type *adc_x, confirm_state new_state); +void adc_base_default_para_init(adc_base_config_type *adc_base_struct); +void adc_base_config(adc_type *adc_x, adc_base_config_type *adc_base_struct); +void adc_common_default_para_init(adc_common_config_type *adc_common_struct); +void adc_common_config(adc_common_config_type *adc_common_struct); +void adc_resolution_set(adc_type *adc_x, adc_resolution_type resolution); +void adc_dma_mode_enable(adc_type *adc_x, confirm_state new_state); +void adc_dma_request_repeat_enable(adc_type *adc_x, confirm_state new_state); +void adc_interrupt_enable(adc_type *adc_x, uint32_t adc_int, confirm_state new_state); +void adc_calibration_value_set(adc_type *adc_x, uint8_t adc_calibration_value); +void adc_calibration_init(adc_type *adc_x); +flag_status adc_calibration_init_status_get(adc_type *adc_x); +void adc_calibration_start(adc_type *adc_x); +flag_status adc_calibration_status_get(adc_type *adc_x); +void adc_voltage_monitor_enable(adc_type *adc_x, adc_voltage_monitoring_type adc_voltage_monitoring); +void adc_voltage_monitor_threshold_value_set(adc_type *adc_x, uint16_t adc_high_threshold, uint16_t adc_low_threshold); +void adc_voltage_monitor_single_channel_select(adc_type *adc_x, adc_channel_select_type adc_channel); +void adc_ordinary_channel_set(adc_type *adc_x, adc_channel_select_type adc_channel, uint8_t adc_sequence, adc_sampletime_select_type adc_sampletime); +void adc_preempt_channel_length_set(adc_type *adc_x, uint8_t adc_channel_lenght); +void adc_preempt_channel_set(adc_type *adc_x, adc_channel_select_type adc_channel, uint8_t adc_sequence, adc_sampletime_select_type adc_sampletime); +void adc_ordinary_conversion_trigger_set(adc_type *adc_x, adc_ordinary_trig_select_type adc_ordinary_trig, adc_ordinary_trig_edge_type adc_ordinary_trig_edge); +void adc_preempt_conversion_trigger_set(adc_type *adc_x, adc_preempt_trig_select_type adc_preempt_trig, adc_preempt_trig_edge_type adc_preempt_trig_edge); +void adc_preempt_offset_value_set(adc_type *adc_x, adc_preempt_channel_type adc_preempt_channel, uint16_t adc_offset_value); +void adc_ordinary_part_count_set(adc_type *adc_x, uint8_t adc_channel_count); +void adc_ordinary_part_mode_enable(adc_type *adc_x, confirm_state new_state); +void adc_preempt_part_mode_enable(adc_type *adc_x, confirm_state new_state); +void adc_preempt_auto_mode_enable(adc_type *adc_x, confirm_state new_state); +void adc_conversion_stop(adc_type *adc_x); +flag_status adc_conversion_stop_status_get(adc_type *adc_x); +void adc_occe_each_conversion_enable(adc_type *adc_x, confirm_state new_state); +void adc_ordinary_software_trigger_enable(adc_type *adc_x, confirm_state new_state); +flag_status adc_ordinary_software_trigger_status_get(adc_type *adc_x); +void adc_preempt_software_trigger_enable(adc_type *adc_x, confirm_state new_state); +flag_status adc_preempt_software_trigger_status_get(adc_type *adc_x); +uint16_t adc_ordinary_conversion_data_get(adc_type *adc_x); +uint16_t adc_preempt_conversion_data_get(adc_type *adc_x, adc_preempt_channel_type adc_preempt_channel); +flag_status adc_flag_get(adc_type *adc_x, uint8_t adc_flag); +flag_status adc_interrupt_flag_get(adc_type *adc_x, uint8_t adc_flag); +void adc_flag_clear(adc_type *adc_x, uint32_t adc_flag); +void adc_ordinary_oversample_enable(adc_type *adc_x, confirm_state new_state); +void adc_preempt_oversample_enable(adc_type *adc_x, confirm_state new_state); +void adc_oversample_ratio_shift_set(adc_type *adc_x, adc_oversample_ratio_type adc_oversample_ratio, adc_oversample_shift_type adc_oversample_shift); +void adc_ordinary_oversample_trig_enable(adc_type *adc_x, confirm_state new_state); +void adc_ordinary_oversample_restart_set(adc_type *adc_x, adc_ordinary_oversample_restart_type adc_ordinary_oversample_restart); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_can.h b/Firmware/drivers/inc/at32a423_can.h new file mode 100644 index 0000000..658c134 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_can.h @@ -0,0 +1,985 @@ +/** + ************************************************************************** + * @file at32a423_can.h + * @brief at32a423 can header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CAN_H +#define __AT32A423_CAN_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup CAN + * @{ + */ + + +/** @defgroup CAN_timeout_count + * @{ + */ + +#define FZC_TIMEOUT ((uint32_t)0x0000FFFF) /*!< time out for fzc bit */ +#define DZC_TIMEOUT ((uint32_t)0x0000FFFF) /*!< time out for dzc bit */ + +/** + * @} + */ + +/** @defgroup CAN_flags_definition + * @brief can flag + * @{ + */ + +#define CAN_EAF_FLAG ((uint32_t)0x01) /*!< error active flag */ +#define CAN_EPF_FLAG ((uint32_t)0x02) /*!< error passive flag */ +#define CAN_BOF_FLAG ((uint32_t)0x03) /*!< bus-off flag */ +#define CAN_ETR_FLAG ((uint32_t)0x04) /*!< error type record flag */ +#define CAN_EOIF_FLAG ((uint32_t)0x05) /*!< error occur interrupt flag */ +#define CAN_TM0TCF_FLAG ((uint32_t)0x06) /*!< transmit mailbox 0 transmission completed flag */ +#define CAN_TM1TCF_FLAG ((uint32_t)0x07) /*!< transmit mailbox 1 transmission completed flag */ +#define CAN_TM2TCF_FLAG ((uint32_t)0x08) /*!< transmit mailbox 2 transmission completed flag */ +#define CAN_RF0MN_FLAG ((uint32_t)0x09) /*!< receive fifo 0 message num flag */ +#define CAN_RF0FF_FLAG ((uint32_t)0x0A) /*!< receive fifo 0 full flag */ +#define CAN_RF0OF_FLAG ((uint32_t)0x0B) /*!< receive fifo 0 overflow flag */ +#define CAN_RF1MN_FLAG ((uint32_t)0x0C) /*!< receive fifo 1 message num flag */ +#define CAN_RF1FF_FLAG ((uint32_t)0x0D) /*!< receive fifo 1 full flag */ +#define CAN_RF1OF_FLAG ((uint32_t)0x0E) /*!< receive fifo 1 overflow flag */ +#define CAN_QDZIF_FLAG ((uint32_t)0x0F) /*!< quit doze mode interrupt flag */ +#define CAN_EDZC_FLAG ((uint32_t)0x10) /*!< enter doze mode confirm flag */ +#define CAN_TMEF_FLAG ((uint32_t)0x11) /*!< transmit mailbox empty flag */ + +/** + * @} + */ + +/** @defgroup CAN_interrupts_definition + * @brief can interrupt + * @{ + */ + +#define CAN_TCIEN_INT ((uint32_t)0x00000001) /*!< transmission complete interrupt */ +#define CAN_RF0MIEN_INT ((uint32_t)0x00000002) /*!< receive fifo 0 message interrupt */ +#define CAN_RF0FIEN_INT ((uint32_t)0x00000004) /*!< receive fifo 0 full interrupt */ +#define CAN_RF0OIEN_INT ((uint32_t)0x00000008) /*!< receive fifo 0 overflow interrupt */ +#define CAN_RF1MIEN_INT ((uint32_t)0x00000010) /*!< receive fifo 1 message interrupt */ +#define CAN_RF1FIEN_INT ((uint32_t)0x00000020) /*!< receive fifo 1 full interrupt */ +#define CAN_RF1OIEN_INT ((uint32_t)0x00000040) /*!< receive fifo 1 overflow interrupt */ +#define CAN_EAIEN_INT ((uint32_t)0x00000100) /*!< error active interrupt */ +#define CAN_EPIEN_INT ((uint32_t)0x00000200) /*!< error passive interrupt */ +#define CAN_BOIEN_INT ((uint32_t)0x00000400) /*!< bus-off interrupt */ +#define CAN_ETRIEN_INT ((uint32_t)0x00000800) /*!< error type record interrupt */ +#define CAN_EOIEN_INT ((uint32_t)0x00008000) /*!< error occur interrupt */ +#define CAN_QDZIEN_INT ((uint32_t)0x00010000) /*!< quit doze mode interrupt */ +#define CAN_EDZIEN_INT ((uint32_t)0x00020000) /*!< enter doze mode confirm interrupt */ + +/** + * @} + */ + +/** + * @brief can flag clear operation macro definition val + */ +#define CAN_MSTS_EOIF_VAL ((uint32_t)0x00000004) /*!< eoif bit value, it clear by writing 1 */ +#define CAN_MSTS_QDZIF_VAL ((uint32_t)0x00000008) /*!< qdzif bit value, it clear by writing 1 */ +#define CAN_MSTS_EDZIF_VAL ((uint32_t)0x00000010) /*!< edzif bit value, it clear by writing 1 */ +#define CAN_TSTS_TM0TCF_VAL ((uint32_t)0x00000001) /*!< tm0tcf bit value, it clear by writing 1 */ +#define CAN_TSTS_TM1TCF_VAL ((uint32_t)0x00000100) /*!< tm1tcf bit value, it clear by writing 1 */ +#define CAN_TSTS_TM2TCF_VAL ((uint32_t)0x00010000) /*!< tm2tcf bit value, it clear by writing 1 */ +#define CAN_TSTS_TM0CT_VAL ((uint32_t)0x00000080) /*!< tm0ct bit value, it clear by writing 1 */ +#define CAN_TSTS_TM1CT_VAL ((uint32_t)0x00008000) /*!< tm1ct bit value, it clear by writing 1 */ +#define CAN_TSTS_TM2CT_VAL ((uint32_t)0x00800000) /*!< tm2ct bit value, it clear by writing 1 */ +#define CAN_RF0_RF0FF_VAL ((uint32_t)0x00000008) /*!< rf0ff bit value, it clear by writing 1 */ +#define CAN_RF0_RF0OF_VAL ((uint32_t)0x00000010) /*!< rf0of bit value, it clear by writing 1 */ +#define CAN_RF0_RF0R_VAL ((uint32_t)0x00000020) /*!< rf0r bit value, it clear by writing 1 */ +#define CAN_RF1_RF1FF_VAL ((uint32_t)0x00000008) /*!< rf1ff bit value, it clear by writing 1 */ +#define CAN_RF1_RF1OF_VAL ((uint32_t)0x00000010) /*!< rf1of bit value, it clear by writing 1 */ +#define CAN_RF1_RF1R_VAL ((uint32_t)0x00000020) /*!< rf1r bit value, it clear by writing 1 */ + +/** @defgroup CAN_exported_types + * @{ + */ + +/** + * @brief can filter fifo + */ +typedef enum +{ + CAN_FILTER_FIFO0 = 0x00, /*!< filter fifo 0 assignment for filter x */ + CAN_FILTER_FIFO1 = 0x01 /*!< filter fifo 1 assignment for filter x */ +} can_filter_fifo_type; + +/** + * @brief can filter mode + */ +typedef enum +{ + CAN_FILTER_MODE_ID_MASK = 0x00, /*!< identifier mask mode */ + CAN_FILTER_MODE_ID_LIST = 0x01 /*!< identifier list mode */ +} can_filter_mode_type; + +/** + * @brief can filter bit width select + */ +typedef enum +{ + CAN_FILTER_16BIT = 0x00, /*!< two 16-bit filters */ + CAN_FILTER_32BIT = 0x01 /*!< one 32-bit filter */ +} can_filter_bit_width_type; + +/** + * @brief can mode + */ +typedef enum +{ + CAN_MODE_COMMUNICATE = 0x00, /*!< communication mode */ + CAN_MODE_LOOPBACK = 0x01, /*!< loopback mode */ + CAN_MODE_LISTENONLY = 0x02, /*!< listen-only mode */ + CAN_MODE_LISTENONLY_LOOPBACK = 0x03 /*!< loopback combined with listen-only mode */ +} can_mode_type; + +/** + * @brief can operating mode + */ +typedef enum +{ + CAN_OPERATINGMODE_FREEZE = 0x00, /*!< freeze mode */ + CAN_OPERATINGMODE_DOZE = 0x01, /*!< doze mode */ + CAN_OPERATINGMODE_COMMUNICATE = 0x02 /*!< communication mode */ +} can_operating_mode_type; + +/** + * @brief can resynchronization adjust width + */ +typedef enum +{ + CAN_RSAW_1TQ = 0x00, /*!< 1 time quantum */ + CAN_RSAW_2TQ = 0x01, /*!< 2 time quantum */ + CAN_RSAW_3TQ = 0x02, /*!< 3 time quantum */ + CAN_RSAW_4TQ = 0x03 /*!< 4 time quantum */ +} can_rsaw_type; + +/** + * @brief can bit time segment 1 + */ +typedef enum +{ + CAN_BTS1_1TQ = 0x00, /*!< 1 time quantum */ + CAN_BTS1_2TQ = 0x01, /*!< 2 time quantum */ + CAN_BTS1_3TQ = 0x02, /*!< 3 time quantum */ + CAN_BTS1_4TQ = 0x03, /*!< 4 time quantum */ + CAN_BTS1_5TQ = 0x04, /*!< 5 time quantum */ + CAN_BTS1_6TQ = 0x05, /*!< 6 time quantum */ + CAN_BTS1_7TQ = 0x06, /*!< 7 time quantum */ + CAN_BTS1_8TQ = 0x07, /*!< 8 time quantum */ + CAN_BTS1_9TQ = 0x08, /*!< 9 time quantum */ + CAN_BTS1_10TQ = 0x09, /*!< 10 time quantum */ + CAN_BTS1_11TQ = 0x0A, /*!< 11 time quantum */ + CAN_BTS1_12TQ = 0x0B, /*!< 12 time quantum */ + CAN_BTS1_13TQ = 0x0C, /*!< 13 time quantum */ + CAN_BTS1_14TQ = 0x0D, /*!< 14 time quantum */ + CAN_BTS1_15TQ = 0x0E, /*!< 15 time quantum */ + CAN_BTS1_16TQ = 0x0F /*!< 16 time quantum */ +} can_bts1_type; + +/** + * @brief can bit time segment 2 + */ +typedef enum +{ + CAN_BTS2_1TQ = 0x00, /*!< 1 time quantum */ + CAN_BTS2_2TQ = 0x01, /*!< 2 time quantum */ + CAN_BTS2_3TQ = 0x02, /*!< 3 time quantum */ + CAN_BTS2_4TQ = 0x03, /*!< 4 time quantum */ + CAN_BTS2_5TQ = 0x04, /*!< 5 time quantum */ + CAN_BTS2_6TQ = 0x05, /*!< 6 time quantum */ + CAN_BTS2_7TQ = 0x06, /*!< 7 time quantum */ + CAN_BTS2_8TQ = 0x07 /*!< 8 time quantum */ +} can_bts2_type; + +/** + * @brief can identifier type + */ +typedef enum +{ + CAN_ID_STANDARD = 0x00, /*!< standard Id */ + CAN_ID_EXTENDED = 0x01 /*!< extended Id */ +} can_identifier_type; + +/** + * @brief can transmission frame type + */ +typedef enum +{ + CAN_TFT_DATA = 0x00, /*!< data frame */ + CAN_TFT_REMOTE = 0x01 /*!< remote frame */ +} can_trans_frame_type; + +/** + * @brief can tx mailboxes + */ +typedef enum +{ + CAN_TX_MAILBOX0 = 0x00, /*!< can tx mailbox 0 */ + CAN_TX_MAILBOX1 = 0x01, /*!< can tx mailbox 1 */ + CAN_TX_MAILBOX2 = 0x02 /*!< can tx mailbox 2 */ +} can_tx_mailbox_num_type; + +/** + * @brief can receive fifo + */ +typedef enum +{ + CAN_RX_FIFO0 = 0x00, /*!< can fifo 0 used to receive */ + CAN_RX_FIFO1 = 0x01 /*!< can fifo 1 used to receive */ +} can_rx_fifo_num_type; + +/** + * @brief can transmit status + */ +typedef enum +{ + CAN_TX_STATUS_FAILED = 0x00, /*!< can transmission failed */ + CAN_TX_STATUS_SUCCESSFUL = 0x01, /*!< can transmission successful */ + CAN_TX_STATUS_PENDING = 0x02, /*!< can transmission pending */ + CAN_TX_STATUS_NO_EMPTY = 0x04 /*!< can transmission no empty mailbox */ +} can_transmit_status_type; + +/** + * @brief can enter doze mode status + */ +typedef enum +{ + CAN_ENTER_DOZE_FAILED = 0x00, /*!< can enter the doze mode failed */ + CAN_ENTER_DOZE_SUCCESSFUL = 0x01 /*!< can enter the doze mode successful */ +} can_enter_doze_status_type; + +/** + * @brief can quit doze mode status + */ +typedef enum +{ + CAN_QUIT_DOZE_FAILED = 0x00, /*!< can quit doze mode failed */ + CAN_QUIT_DOZE_SUCCESSFUL = 0x01 /*!< can quit doze mode successful */ +} can_quit_doze_status_type; + +/** + * @brief can message discarding rule select when overflow + */ +typedef enum +{ + CAN_DISCARDING_FIRST_RECEIVED = 0x00, /*!< can discarding the first received message */ + CAN_DISCARDING_LAST_RECEIVED = 0x01 /*!< can discarding the last received message */ +} can_msg_discarding_rule_type; + +/** + * @brief can multiple message sending sequence rule + */ +typedef enum +{ + CAN_SENDING_BY_ID = 0x00, /*!< can sending the minimum id message first*/ + CAN_SENDING_BY_REQUEST = 0x01 /*!< can sending the first request message first */ +} can_msg_sending_rule_type; + +/** + * @brief can error type record + */ +typedef enum +{ + CAN_ERRORRECORD_NOERR = 0x00, /*!< no error */ + CAN_ERRORRECORD_STUFFERR = 0x01, /*!< stuff error */ + CAN_ERRORRECORD_FORMERR = 0x02, /*!< form error */ + CAN_ERRORRECORD_ACKERR = 0x03, /*!< acknowledgment error */ + CAN_ERRORRECORD_BITRECESSIVEERR = 0x04, /*!< bit recessive error */ + CAN_ERRORRECORD_BITDOMINANTERR = 0x05, /*!< bit dominant error */ + CAN_ERRORRECORD_CRCERR = 0x06, /*!< crc error */ + CAN_ERRORRECORD_SOFTWARESETERR = 0x07 /*!< software set error */ +} can_error_record_type; + +/** + * @brief can init structure definition + */ +typedef struct +{ + can_mode_type mode_selection; /*!< specifies the can mode.*/ + + confirm_state ttc_enable; /*!< time triggered communication mode enable */ + + confirm_state aebo_enable; /*!< automatic exit bus-off enable */ + + confirm_state aed_enable; /*!< automatic exit doze mode enable */ + + confirm_state prsf_enable; /*!< prohibit retransmission when sending fails enable */ + + can_msg_discarding_rule_type mdrsel_selection; /*!< message discarding rule select when overflow */ + + can_msg_sending_rule_type mmssr_selection; /*!< multiple message sending sequence rule */ + +} can_base_type; + +/** + * @brief can baudrate structure definition + */ +typedef struct +{ + uint16_t baudrate_div; /*!< baudrate division,this parameter can be 0x001~0x1000.*/ + + can_rsaw_type rsaw_size; /*!< resynchronization adjust width */ + + can_bts1_type bts1_size; /*!< bit time segment 1 */ + + can_bts2_type bts2_size; /*!< bit time segment 2 */ + +} can_baudrate_type; + +/** + * @brief can filter init structure definition + */ +typedef struct +{ + confirm_state filter_activate_enable; /*!< enable or disable the filter activate.*/ + + can_filter_mode_type filter_mode; /*!< config the filter mode mask or list.*/ + + can_filter_fifo_type filter_fifo; /*!< config the fifo which will be assigned to the filter. */ + + uint8_t filter_number; /*!< config the filter number, parameter ranges from 0 to 13. */ + + can_filter_bit_width_type filter_bit; /*!< config the filter bit width 16bit or 32bit.*/ + + uint16_t filter_id_high; /*!< config the filter identification, for 32-bit configuration + it's high 16 bits, for 16-bit configuration it's first. */ + + uint16_t filter_id_low; /*!< config the filter identification, for 32-bit configuration + it's low 16 bits, for 16-bit configuration it's second. */ + + uint16_t filter_mask_high; /*!< config the filter mask or identification, according to the filtering mode, + for 32-bit configuration it's high 16 bits, for 16-bit configuration it's first. */ + + uint16_t filter_mask_low; /*!< config the filter mask or identification, according to the filtering mode, + for 32-bit configuration it's low 16 bits, for 16-bit configuration it's second. */ +} can_filter_init_type; + +/** + * @brief can tx message structure definition + */ +typedef struct +{ + uint32_t standard_id; /*!< specifies the 11 bits standard identifier. + this parameter can be a value between 0 to 0x7FF. */ + + uint32_t extended_id; /*!< specifies the 29 bits extended identifier. + this parameter can be a value between 0 to 0x1FFFFFFF. */ + + can_identifier_type id_type; /*!< specifies identifier type for the transmit message.*/ + + can_trans_frame_type frame_type; /*!< specifies frame type for the transmit message.*/ + + uint8_t dlc; /*!< specifies frame data length that will be transmitted. + this parameter can be a value between 0 to 8 */ + + uint8_t data[8]; /*!< contains the transmit data. it ranges from 0 to 0xFF. */ + +} can_tx_message_type; + +/** + * @brief can rx message structure definition + */ +typedef struct +{ + uint32_t standard_id; /*!< specifies the 11 bits standard identifier + this parameter can be a value between 0 to 0x7FF. */ + + uint32_t extended_id; /*!< specifies the 29 bits extended identifier. + this parameter can be a value between 0 to 0x1FFFFFFF. */ + + can_identifier_type id_type; /*!< specifies identifier type for the receive message.*/ + + can_trans_frame_type frame_type; /*!< specifies frame type for the receive message.*/ + + uint8_t dlc; /*!< specifies the frame data length that will be received. + this parameter can be a value between 0 to 8 */ + + uint8_t data[8]; /*!< contains the receive data. it ranges from 0 to 0xFF.*/ + + uint8_t filter_index; /*!< specifies the message stored in which filter + this parameter can be a value between 0 to 0xFF */ +} can_rx_message_type; + +/** + * @brief can controller area network tx mailbox + */ +typedef struct +{ + /** + * @brief can tmi register + */ + union + { + __IO uint32_t tmi; + struct + { + __IO uint32_t tmsr : 1; /* [0] */ + __IO uint32_t tmfrsel : 1; /* [1] */ + __IO uint32_t tmidsel : 1; /* [2] */ + __IO uint32_t tmeid : 18;/* [20:3] */ + __IO uint32_t tmsid : 11;/* [31:21] */ + } tmi_bit; + }; + + /** + * @brief can tmc register + */ + union + { + __IO uint32_t tmc; + struct + { + __IO uint32_t tmdtbl : 4; /* [3:0] */ + __IO uint32_t reserved1 : 4; /* [7:4] */ + __IO uint32_t tmtsten : 1; /* [8] */ + __IO uint32_t reserved2 : 7; /* [15:9] */ + __IO uint32_t tmts : 16;/* [31:16] */ + } tmc_bit; + }; + + /** + * @brief can tmdtl register + */ + union + { + __IO uint32_t tmdtl; + struct + { + __IO uint32_t tmdt0 : 8; /* [7:0] */ + __IO uint32_t tmdt1 : 8; /* [15:8] */ + __IO uint32_t tmdt2 : 8; /* [23:16] */ + __IO uint32_t tmdt3 : 8; /* [31:24] */ + } tmdtl_bit; + }; + + /** + * @brief can tmdth register + */ + union + { + __IO uint32_t tmdth; + struct + { + __IO uint32_t tmdt4 : 8; /* [7:0] */ + __IO uint32_t tmdt5 : 8; /* [15:8] */ + __IO uint32_t tmdt6 : 8; /* [23:16] */ + __IO uint32_t tmdt7 : 8; /* [31:24] */ + } tmdth_bit; + }; +} can_tx_mailbox_type; + +/** + * @brief can controller area network fifo mailbox + */ +typedef struct +{ + /** + * @brief can rfi register + */ + union + { + __IO uint32_t rfi; + struct + { + __IO uint32_t reserved1 : 1; /* [0] */ + __IO uint32_t rffri : 1; /* [1] */ + __IO uint32_t rfidi : 1; /* [2] */ + __IO uint32_t rfeid : 18;/* [20:3] */ + __IO uint32_t rfsid : 11;/* [31:21] */ + } rfi_bit; + }; + + /** + * @brief can rfc register + */ + union + { + __IO uint32_t rfc; + struct + { + __IO uint32_t rfdtl : 4; /* [3:0] */ + __IO uint32_t reserved1 : 4; /* [7:4] */ + __IO uint32_t rffmn : 8; /* [15:8] */ + __IO uint32_t rfts : 16;/* [31:16] */ + } rfc_bit; + }; + + /** + * @brief can rfdtl register + */ + union + { + __IO uint32_t rfdtl; + struct + { + __IO uint32_t rfdt0 : 8; /* [7:0] */ + __IO uint32_t rfdt1 : 8; /* [15:8] */ + __IO uint32_t rfdt2 : 8; /* [23:16] */ + __IO uint32_t rfdt3 : 8; /* [31:24] */ + } rfdtl_bit; + }; + + /** + * @brief can rfdth register + */ + union + { + __IO uint32_t rfdth; + struct + { + __IO uint32_t rfdt4 : 8; /* [7:0] */ + __IO uint32_t rfdt5 : 8; /* [15:8] */ + __IO uint32_t rfdt6 : 8; /* [23:16] */ + __IO uint32_t rfdt7 : 8; /* [31:24] */ + } rfdth_bit; + }; +} can_fifo_mailbox_type; + +/** + * @brief can controller area network filter bit register + */ +typedef struct +{ + __IO uint32_t ffdb1; + __IO uint32_t ffdb2; +} can_filter_register_type; + +/** + * @brief type define can register all + */ +typedef struct +{ + + /** + * @brief can mctrl register, offset:0x00 + */ + union + { + __IO uint32_t mctrl; + struct + { + __IO uint32_t fzen : 1; /* [0] */ + __IO uint32_t dzen : 1; /* [1] */ + __IO uint32_t mmssr : 1; /* [2] */ + __IO uint32_t mdrsel : 1; /* [3] */ + __IO uint32_t prsfen : 1; /* [4] */ + __IO uint32_t aeden : 1; /* [5] */ + __IO uint32_t aeboen : 1; /* [6] */ + __IO uint32_t ttcen : 1; /* [7] */ + __IO uint32_t reserved1 : 7; /* [14:8] */ + __IO uint32_t sprst : 1; /* [15] */ + __IO uint32_t ptd : 1; /* [16] */ + __IO uint32_t reserved2 : 15;/*[31:17] */ + } mctrl_bit; + }; + + /** + * @brief can msts register, offset:0x04 + */ + union + { + __IO uint32_t msts; + struct + { + __IO uint32_t fzc : 1; /* [0] */ + __IO uint32_t dzc : 1; /* [1] */ + __IO uint32_t eoif : 1; /* [2] */ + __IO uint32_t qdzif : 1; /* [3] */ + __IO uint32_t edzif : 1; /* [4] */ + __IO uint32_t reserved1 : 3; /* [7:5] */ + __IO uint32_t cuss : 1; /* [8] */ + __IO uint32_t curs : 1; /* [9] */ + __IO uint32_t lsamprx : 1; /* [10] */ + __IO uint32_t realrx : 1; /* [11] */ + __IO uint32_t reserved2 : 20;/*[31:12] */ + } msts_bit; + }; + + /** + * @brief can tsts register, offset:0x08 + */ + union + { + __IO uint32_t tsts; + struct + { + __IO uint32_t tm0tcf : 1; /* [0] */ + __IO uint32_t tm0tsf : 1; /* [1] */ + __IO uint32_t tm0alf : 1; /* [2] */ + __IO uint32_t tm0tef : 1; /* [3] */ + __IO uint32_t reserved1 : 3; /* [6:4] */ + __IO uint32_t tm0ct : 1; /* [7] */ + __IO uint32_t tm1tcf : 1; /* [8] */ + __IO uint32_t tm1tsf : 1; /* [9] */ + __IO uint32_t tm1alf : 1; /* [10] */ + __IO uint32_t tm1tef : 1; /* [11] */ + __IO uint32_t reserved2 : 3; /* [14:12] */ + __IO uint32_t tm1ct : 1; /* [15] */ + __IO uint32_t tm2tcf : 1; /* [16] */ + __IO uint32_t tm2tsf : 1; /* [17] */ + __IO uint32_t tm2alf : 1; /* [18] */ + __IO uint32_t tm2tef : 1; /* [19] */ + __IO uint32_t reserved3 : 3; /* [22:20] */ + __IO uint32_t tm2ct : 1; /* [23] */ + __IO uint32_t tmnr : 2; /* [25:24] */ + __IO uint32_t tm0ef : 1; /* [26] */ + __IO uint32_t tm1ef : 1; /* [27] */ + __IO uint32_t tm2ef : 1; /* [28] */ + __IO uint32_t tm0lpf : 1; /* [29] */ + __IO uint32_t tm1lpf : 1; /* [30] */ + __IO uint32_t tm2lpf : 1; /* [31] */ + } tsts_bit; + }; + + /** + * @brief can rf0 register, offset:0x0C + */ + union + { + __IO uint32_t rf0; + struct + { + __IO uint32_t rf0mn : 2; /* [1:0] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t rf0ff : 1; /* [3] */ + __IO uint32_t rf0of : 1; /* [4] */ + __IO uint32_t rf0r : 1; /* [5] */ + __IO uint32_t reserved2 : 26;/* [31:6] */ + } rf0_bit; + }; + + /** + * @brief can rf1 register, offset:0x10 + */ + union + { + __IO uint32_t rf1; + struct + { + __IO uint32_t rf1mn : 2; /* [1:0] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t rf1ff : 1; /* [3] */ + __IO uint32_t rf1of : 1; /* [4] */ + __IO uint32_t rf1r : 1; /* [5] */ + __IO uint32_t reserved2 : 26;/* [31:6] */ + } rf1_bit; + }; + + /** + * @brief can inten register, offset:0x14 + */ + union + { + __IO uint32_t inten; + struct + { + __IO uint32_t tcien : 1; /* [0] */ + __IO uint32_t rf0mien : 1; /* [1] */ + __IO uint32_t rf0fien : 1; /* [2] */ + __IO uint32_t rf0oien : 1; /* [3] */ + __IO uint32_t rf1mien : 1; /* [4] */ + __IO uint32_t rf1fien : 1; /* [5] */ + __IO uint32_t rf1oien : 1; /* [6] */ + __IO uint32_t reserved1 : 1; /* [7] */ + __IO uint32_t eaien : 1; /* [8] */ + __IO uint32_t epien : 1; /* [9] */ + __IO uint32_t boien : 1; /* [10] */ + __IO uint32_t etrien : 1; /* [11] */ + __IO uint32_t reserved2 : 3; /* [14:12] */ + __IO uint32_t eoien : 1; /* [15] */ + __IO uint32_t qdzien : 1; /* [16] */ + __IO uint32_t edzien : 1; /* [17] */ + __IO uint32_t reserved3 : 14;/* [31:18] */ + } inten_bit; + }; + + /** + * @brief can ests register, offset:0x18 + */ + union + { + __IO uint32_t ests; + struct + { + __IO uint32_t eaf : 1; /* [0] */ + __IO uint32_t epf : 1; /* [1] */ + __IO uint32_t bof : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t etr : 3; /* [6:4] */ + __IO uint32_t reserved2 : 9; /* [15:7] */ + __IO uint32_t tec : 8; /* [23:16] */ + __IO uint32_t rec : 8; /* [31:24] */ + } ests_bit; + }; + + /** + * @brief can btmg register, offset:0x1C + */ + union + { + __IO uint32_t btmg; + struct + { + __IO uint32_t brdiv : 12;/* [11:0] */ + __IO uint32_t reserved1 : 4; /* [15:12] */ + __IO uint32_t bts1 : 4; /* [19:16] */ + __IO uint32_t bts2 : 3; /* [22:20] */ + __IO uint32_t reserved2 : 1; /* [23] */ + __IO uint32_t rsaw : 2; /* [25:24] */ + __IO uint32_t reserved3 : 4; /* [29:26] */ + __IO uint32_t lben : 1; /* [30] */ + __IO uint32_t loen : 1; /* [31] */ + } btmg_bit; + }; + + /** + * @brief can reserved register, offset:0x20~0x17C + */ + __IO uint32_t reserved1[88]; + + /** + * @brief can controller area network tx mailbox register, offset:0x180~0x1AC + */ + can_tx_mailbox_type tx_mailbox[3]; + + /** + * @brief can controller area network fifo mailbox register, offset:0x1B0~0x1CC + */ + can_fifo_mailbox_type fifo_mailbox[2]; + + /** + * @brief can reserved register, offset:0x1D0~0x1FC + */ + __IO uint32_t reserved2[12]; + + /** + * @brief can fctrl register, offset:0x200 + */ + union + { + __IO uint32_t fctrl; + struct + { + __IO uint32_t fcs : 1; /* [0] */ + __IO uint32_t reserved1 : 31;/* [31:1] */ + } fctrl_bit; + }; + + /** + * @brief can fmcfg register, offset:0x204 + */ + union + { + __IO uint32_t fmcfg; + struct + { + __IO uint32_t fmsel0 : 1; /* [0] */ + __IO uint32_t fmsel1 : 1; /* [1] */ + __IO uint32_t fmsel2 : 1; /* [2] */ + __IO uint32_t fmsel3 : 1; /* [3] */ + __IO uint32_t fmsel4 : 1; /* [4] */ + __IO uint32_t fmsel5 : 1; /* [5] */ + __IO uint32_t fmsel6 : 1; /* [6] */ + __IO uint32_t fmsel7 : 1; /* [7] */ + __IO uint32_t fmsel8 : 1; /* [8] */ + __IO uint32_t fmsel9 : 1; /* [9] */ + __IO uint32_t fmsel10 : 1; /* [10] */ + __IO uint32_t fmsel11 : 1; /* [11] */ + __IO uint32_t fmsel12 : 1; /* [12] */ + __IO uint32_t fmsel13 : 1; /* [13] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } fmcfg_bit; + }; + + /** + * @brief can reserved register, offset:0x208 + */ + __IO uint32_t reserved3; + + /** + * @brief can fbwcfg register, offset:0x20C + */ + union + { + __IO uint32_t fbwcfg; + struct + { + __IO uint32_t fbwsel0 : 1; /* [0] */ + __IO uint32_t fbwsel1 : 1; /* [1] */ + __IO uint32_t fbwsel2 : 1; /* [2] */ + __IO uint32_t fbwsel3 : 1; /* [3] */ + __IO uint32_t fbwsel4 : 1; /* [4] */ + __IO uint32_t fbwsel5 : 1; /* [5] */ + __IO uint32_t fbwsel6 : 1; /* [6] */ + __IO uint32_t fbwsel7 : 1; /* [7] */ + __IO uint32_t fbwsel8 : 1; /* [8] */ + __IO uint32_t fbwsel9 : 1; /* [9] */ + __IO uint32_t fbwsel10 : 1; /* [10] */ + __IO uint32_t fbwsel11 : 1; /* [11] */ + __IO uint32_t fbwsel12 : 1; /* [12] */ + __IO uint32_t fbwsel13 : 1; /* [13] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } fbwcfg_bit; + }; + + /** + * @brief can reserved register, offset:0x210 + */ + __IO uint32_t reserved4; + + /** + * @brief can frf register, offset:0x214 + */ + union + { + __IO uint32_t frf; + struct + { + __IO uint32_t frfsel0 : 1; /* [0] */ + __IO uint32_t frfsel1 : 1; /* [1] */ + __IO uint32_t frfsel2 : 1; /* [2] */ + __IO uint32_t frfsel3 : 1; /* [3] */ + __IO uint32_t frfsel4 : 1; /* [4] */ + __IO uint32_t frfsel5 : 1; /* [5] */ + __IO uint32_t frfsel6 : 1; /* [6] */ + __IO uint32_t frfsel7 : 1; /* [7] */ + __IO uint32_t frfsel8 : 1; /* [8] */ + __IO uint32_t frfsel9 : 1; /* [9] */ + __IO uint32_t frfsel10 : 1; /* [10] */ + __IO uint32_t frfsel11 : 1; /* [11] */ + __IO uint32_t frfsel12 : 1; /* [12] */ + __IO uint32_t frfsel13 : 1; /* [13] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } frf_bit; + }; + + /** + * @brief can reserved register, offset:0x218 + */ + __IO uint32_t reserved5; + + /** + * @brief can facfg register, offset:0x21C + */ + union + { + __IO uint32_t facfg; + struct + { + __IO uint32_t faen0 : 1; /* [0] */ + __IO uint32_t faen1 : 1; /* [1] */ + __IO uint32_t faen2 : 1; /* [2] */ + __IO uint32_t faen3 : 1; /* [3] */ + __IO uint32_t faen4 : 1; /* [4] */ + __IO uint32_t faen5 : 1; /* [5] */ + __IO uint32_t faen6 : 1; /* [6] */ + __IO uint32_t faen7 : 1; /* [7] */ + __IO uint32_t faen8 : 1; /* [8] */ + __IO uint32_t faen9 : 1; /* [9] */ + __IO uint32_t faen10 : 1; /* [10] */ + __IO uint32_t faen11 : 1; /* [11] */ + __IO uint32_t faen12 : 1; /* [12] */ + __IO uint32_t faen13 : 1; /* [13] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } facfg_bit; + }; + + /** + * @brief can reserved register, offset:0x220~0x23C + */ + __IO uint32_t reserved6[8]; + + /** + * @brief can ffb register, offset:0x240~0x2AC + */ + can_filter_register_type ffb[14]; +} can_type; + +/** + * @} + */ + +#define CAN1 ((can_type *) CAN1_BASE) +#define CAN2 ((can_type *) CAN2_BASE) + +/** @defgroup CAN_exported_functions + * @{ + */ + +void can_reset(can_type* can_x); +void can_baudrate_default_para_init(can_baudrate_type* can_baudrate_struct); +error_status can_baudrate_set(can_type* can_x, can_baudrate_type* can_baudrate_struct); +void can_default_para_init(can_base_type* can_base_struct); +error_status can_base_init(can_type* can_x, can_base_type* can_base_struct); +void can_filter_default_para_init(can_filter_init_type* can_filter_init_struct); +void can_filter_init(can_type* can_x, can_filter_init_type* can_filter_init_struct); +void can_debug_transmission_prohibit(can_type* can_x, confirm_state new_state); +void can_ttc_mode_enable(can_type* can_x, confirm_state new_state); +uint8_t can_message_transmit(can_type* can_x, can_tx_message_type* tx_message_struct); +can_transmit_status_type can_transmit_status_get(can_type* can_x, can_tx_mailbox_num_type transmit_mailbox); +void can_transmit_cancel(can_type* can_x, can_tx_mailbox_num_type transmit_mailbox); +void can_message_receive(can_type* can_x, can_rx_fifo_num_type fifo_number, can_rx_message_type* rx_message_struct); +void can_receive_fifo_release(can_type* can_x, can_rx_fifo_num_type fifo_number); +uint8_t can_receive_message_pending_get(can_type* can_x, can_rx_fifo_num_type fifo_number); +error_status can_operating_mode_set(can_type* can_x, can_operating_mode_type can_operating_mode); +can_enter_doze_status_type can_doze_mode_enter(can_type* can_x); +can_quit_doze_status_type can_doze_mode_exit(can_type* can_x); +can_error_record_type can_error_type_record_get(can_type* can_x); +uint8_t can_receive_error_counter_get(can_type* can_x); +uint8_t can_transmit_error_counter_get(can_type* can_x); +void can_interrupt_enable(can_type* can_x, uint32_t can_int, confirm_state new_state); +flag_status can_interrupt_flag_get(can_type* can_x, uint32_t can_flag); +flag_status can_flag_get(can_type* can_x, uint32_t can_flag); +void can_flag_clear(can_type* can_x, uint32_t can_flag); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_crc.h b/Firmware/drivers/inc/at32a423_crc.h new file mode 100644 index 0000000..f338cd0 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_crc.h @@ -0,0 +1,198 @@ +/** + ************************************************************************** + * @file at32a423_crc.h + * @brief at32a423 crc header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CRC_H +#define __AT32A423_CRC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup CRC + * @{ + */ + +/** @defgroup CRC_exported_types + * @{ + */ + +/** + * @brief crc reverse input data + */ +typedef enum +{ + CRC_REVERSE_INPUT_NO_AFFECTE = 0x00, /*!< input data no reverse */ + CRC_REVERSE_INPUT_BY_BYTE = 0x01, /*!< input data reverse by byte */ + CRC_REVERSE_INPUT_BY_HALFWORD = 0x02, /*!< input data reverse by half word */ + CRC_REVERSE_INPUT_BY_WORD = 0x03 /*!< input data reverse by word */ +} crc_reverse_input_type; + +/** + * @brief crc reverse output data + */ +typedef enum +{ + CRC_REVERSE_OUTPUT_NO_AFFECTE = 0x00, /*!< output data no reverse */ + CRC_REVERSE_OUTPUT_DATA = 0x01 /*!< output data reverse by word */ +} crc_reverse_output_type; + +/** + * @brief crc polynomial size + */ +typedef enum +{ + CRC_POLY_SIZE_32B = 0x00, /*!< polynomial size 32 bits */ + CRC_POLY_SIZE_16B = 0x01, /*!< polynomial size 16 bits */ + CRC_POLY_SIZE_8B = 0x02, /*!< polynomial size 8 bits */ + CRC_POLY_SIZE_7B = 0x03 /*!< polynomial size 7 bits */ +} crc_poly_size_type; + +/** + * @brief type define crc register all + */ +typedef struct +{ + /** + * @brief crc dt register, offset:0x00 + */ + union + { + __IO uint32_t dt; + struct + { + __IO uint32_t dt : 32; /* [31:0] */ + } dt_bit; + }; + + /** + * @brief crc cdt register, offset:0x04 + */ + union + { + __IO uint32_t cdt; + struct + { + __IO uint32_t cdt : 8 ; /* [7:0] */ + __IO uint32_t reserved1 : 24 ;/* [31:8] */ + } cdt_bit; + }; + + /** + * @brief crc ctrl register, offset:0x08 + */ + union + { + __IO uint32_t ctrl; + struct + { + __IO uint32_t rst : 1 ; /* [0] */ + __IO uint32_t reserved1 : 2 ; /* [2:1] */ + __IO uint32_t poly_size : 2 ; /* [4:3] */ + __IO uint32_t revid : 2 ; /* [6:5] */ + __IO uint32_t revod : 1 ; /* [7] */ + __IO uint32_t reserved2 : 24 ;/* [31:8] */ + } ctrl_bit; + }; + + /** + * @brief crm reserved1 register, offset:0x0C + */ + __IO uint32_t reserved1; + + /** + * @brief crc idt register, offset:0x10 + */ + union + { + __IO uint32_t idt; + struct + { + __IO uint32_t idt : 32; /* [31:0] */ + } idt_bit; + }; + + /** + * @brief crc polynomial register, offset:0x14 + */ + union + { + __IO uint32_t poly; + struct + { + __IO uint32_t poly : 32; /* [31:0] */ + } poly_bit; + }; + +} crc_type; + +/** + * @} + */ + +#define CRC ((crc_type *) CRC_BASE) + +/** @defgroup CRC_exported_functions + * @{ + */ + +void crc_data_reset(void); +uint32_t crc_one_word_calculate(uint32_t data); +uint32_t crc_block_calculate(uint32_t *pbuffer, uint32_t length); +uint32_t crc_data_get(void); +void crc_common_data_set(uint8_t cdt_value); +uint8_t crc_common_data_get(void); +void crc_init_data_set(uint32_t value); +void crc_reverse_input_data_set(crc_reverse_input_type value); +void crc_reverse_output_data_set(crc_reverse_output_type value); +void crc_poly_value_set(uint32_t value); +uint32_t crc_poly_value_get(void); +void crc_poly_size_set(crc_poly_size_type size); +crc_poly_size_type crc_poly_size_get(void); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_crm.h b/Firmware/drivers/inc/at32a423_crm.h new file mode 100644 index 0000000..7eaba29 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_crm.h @@ -0,0 +1,1241 @@ +/** + ************************************************************************** + * @file at32a423_crm.h + * @brief at32a423 crm header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_CRM_H +#define __AT32A423_CRM_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup CRM + * @{ + */ + +#define CRM_REG(value) PERIPH_REG(CRM_BASE, value) +#define CRM_REG_BIT(value) PERIPH_REG_BIT(value) + +/** @defgroup CRM_flags_definition + * @brief crm flag + * @{ + */ + +#define CRM_HICK_STABLE_FLAG MAKE_VALUE(0x00, 1) /*!< high speed internal clock stable flag */ +#define CRM_HEXT_STABLE_FLAG MAKE_VALUE(0x00, 17) /*!< high speed external crystal stable flag */ +#define CRM_PLL_STABLE_FLAG MAKE_VALUE(0x00, 25) /*!< phase locking loop stable flag */ +#define CRM_LEXT_STABLE_FLAG MAKE_VALUE(0x70, 1) /*!< low speed external crystal stable flag */ +#define CRM_LICK_STABLE_FLAG MAKE_VALUE(0x74, 1) /*!< low speed internal clock stable flag */ +#define CRM_ALL_RESET_FLAG MAKE_VALUE(0x74, 24) /*!< all reset flag */ +#define CRM_NRST_RESET_FLAG MAKE_VALUE(0x74, 26) /*!< nrst pin reset flag */ +#define CRM_POR_RESET_FLAG MAKE_VALUE(0x74, 27) /*!< power on reset flag */ +#define CRM_SW_RESET_FLAG MAKE_VALUE(0x74, 28) /*!< software reset flag */ +#define CRM_WDT_RESET_FLAG MAKE_VALUE(0x74, 29) /*!< watchdog timer reset flag */ +#define CRM_WWDT_RESET_FLAG MAKE_VALUE(0x74, 30) /*!< window watchdog timer reset flag */ +#define CRM_LOWPOWER_RESET_FLAG MAKE_VALUE(0x74, 31) /*!< low-power reset flag */ +#define CRM_LICK_READY_INT_FLAG MAKE_VALUE(0x0C, 0) /*!< low speed internal clock stable interrupt ready flag */ +#define CRM_LEXT_READY_INT_FLAG MAKE_VALUE(0x0C, 1) /*!< low speed external crystal stable interrupt ready flag */ +#define CRM_HICK_READY_INT_FLAG MAKE_VALUE(0x0C, 2) /*!< high speed internal clock stable interrupt ready flag */ +#define CRM_HEXT_READY_INT_FLAG MAKE_VALUE(0x0C, 3) /*!< high speed external crystal stable interrupt ready flag */ +#define CRM_PLL_READY_INT_FLAG MAKE_VALUE(0x0C, 4) /*!< phase locking loop stable interrupt ready flag */ +#define CRM_CLOCK_FAILURE_INT_FLAG MAKE_VALUE(0x0C, 7) /*!< clock failure interrupt ready flag */ + +/** + * @} + */ + +/** @defgroup CRM_interrupts_definition + * @brief crm interrupt + * @{ + */ + +#define CRM_LICK_STABLE_INT ((uint32_t)0x00000100) /*!< low speed internal clock stable interrupt */ +#define CRM_LEXT_STABLE_INT ((uint32_t)0x00000200) /*!< low speed external crystal stable interrupt */ +#define CRM_HICK_STABLE_INT ((uint32_t)0x00000400) /*!< high speed internal clock stable interrupt */ +#define CRM_HEXT_STABLE_INT ((uint32_t)0x00000800) /*!< high speed external crystal stable interrupt */ +#define CRM_PLL_STABLE_INT ((uint32_t)0x00001000) /*!< phase locking loop stable interrupt */ +#define CRM_CLOCK_FAILURE_INT ((uint32_t)0x00800000) /*!< clock failure interrupt */ + +/** + * @} + */ + +/** @defgroup CRM_exported_types + * @{ + */ + +/** + * @brief crm periph clock + */ +typedef enum +{ + /* ahb periph1 */ + CRM_GPIOA_PERIPH_CLOCK = MAKE_VALUE(0x30, 0), /*!< gpioa periph clock */ + CRM_GPIOB_PERIPH_CLOCK = MAKE_VALUE(0x30, 1), /*!< gpiob periph clock */ + CRM_GPIOC_PERIPH_CLOCK = MAKE_VALUE(0x30, 2), /*!< gpioc periph clock */ + CRM_GPIOD_PERIPH_CLOCK = MAKE_VALUE(0x30, 3), /*!< gpiod periph clock */ + CRM_GPIOE_PERIPH_CLOCK = MAKE_VALUE(0x30, 4), /*!< gpioe periph clock */ + CRM_GPIOF_PERIPH_CLOCK = MAKE_VALUE(0x30, 5), /*!< gpiof periph clock */ + CRM_CRC_PERIPH_CLOCK = MAKE_VALUE(0x30, 12), /*!< crc periph clock */ + CRM_DMA1_PERIPH_CLOCK = MAKE_VALUE(0x30, 22), /*!< dma1 periph clock */ + CRM_DMA2_PERIPH_CLOCK = MAKE_VALUE(0x30, 24), /*!< dma2 periph clock */ + /* ahb periph2 */ + CRM_OTGFS1_PERIPH_CLOCK = MAKE_VALUE(0x34, 7), /*!< otgfs1 periph clock */ + /* ahb periph3 */ + CRM_XMC_PERIPH_CLOCK = MAKE_VALUE(0x38, 0), /*!< xmc periph clock */ + /* apb1 periph */ + CRM_TMR2_PERIPH_CLOCK = MAKE_VALUE(0x40, 0), /*!< tmr2 periph clock */ + CRM_TMR3_PERIPH_CLOCK = MAKE_VALUE(0x40, 1), /*!< tmr3 periph clock */ + CRM_TMR4_PERIPH_CLOCK = MAKE_VALUE(0x40, 2), /*!< tmr4 periph clock */ + CRM_TMR6_PERIPH_CLOCK = MAKE_VALUE(0x40, 4), /*!< tmr6 periph clock */ + CRM_TMR7_PERIPH_CLOCK = MAKE_VALUE(0x40, 5), /*!< tmr7 periph clock */ + CRM_TMR12_PERIPH_CLOCK = MAKE_VALUE(0x40, 6), /*!< tmr12 periph clock */ + CRM_TMR13_PERIPH_CLOCK = MAKE_VALUE(0x40, 7), /*!< tmr13 periph clock */ + CRM_TMR14_PERIPH_CLOCK = MAKE_VALUE(0x40, 8), /*!< tmr14 periph clock */ + CRM_WWDT_PERIPH_CLOCK = MAKE_VALUE(0x40, 11), /*!< wwdt periph clock */ + CRM_SPI2_PERIPH_CLOCK = MAKE_VALUE(0x40, 14), /*!< spi2 periph clock */ + CRM_SPI3_PERIPH_CLOCK = MAKE_VALUE(0x40, 15), /*!< spi3 periph clock */ + CRM_USART2_PERIPH_CLOCK = MAKE_VALUE(0x40, 17), /*!< usart2 periph clock */ + CRM_USART3_PERIPH_CLOCK = MAKE_VALUE(0x40, 18), /*!< usart3 periph clock */ + CRM_USART4_PERIPH_CLOCK = MAKE_VALUE(0x40, 19), /*!< usart4 periph clock */ + CRM_USART5_PERIPH_CLOCK = MAKE_VALUE(0x40, 20), /*!< usart5 periph clock */ + CRM_I2C1_PERIPH_CLOCK = MAKE_VALUE(0x40, 21), /*!< i2c1 periph clock */ + CRM_I2C2_PERIPH_CLOCK = MAKE_VALUE(0x40, 22), /*!< i2c2 periph clock */ + CRM_I2C3_PERIPH_CLOCK = MAKE_VALUE(0x40, 23), /*!< i2c3 periph clock */ + CRM_CAN1_PERIPH_CLOCK = MAKE_VALUE(0x40, 25), /*!< can1 periph clock */ + CRM_CAN2_PERIPH_CLOCK = MAKE_VALUE(0x40, 26), /*!< can2 periph clock */ + CRM_PWC_PERIPH_CLOCK = MAKE_VALUE(0x40, 28), /*!< pwc periph clock */ + CRM_DAC_PERIPH_CLOCK = MAKE_VALUE(0x40, 29), /*!< dac periph clock */ + CRM_USART7_PERIPH_CLOCK = MAKE_VALUE(0x40, 30), /*!< usart7 periph clock */ + CRM_USART8_PERIPH_CLOCK = MAKE_VALUE(0x40, 31), /*!< usart8 periph clock */ + /* apb2 periph */ + CRM_TMR1_PERIPH_CLOCK = MAKE_VALUE(0x44, 0), /*!< tmr1 periph clock */ + CRM_USART1_PERIPH_CLOCK = MAKE_VALUE(0x44, 4), /*!< usart1 periph clock */ + CRM_USART6_PERIPH_CLOCK = MAKE_VALUE(0x44, 5), /*!< usart6 periph clock */ + CRM_ADC1_PERIPH_CLOCK = MAKE_VALUE(0x44, 8), /*!< adc1 periph clock */ + CRM_SPI1_PERIPH_CLOCK = MAKE_VALUE(0x44, 12), /*!< spi1 periph clock */ + CRM_SCFG_PERIPH_CLOCK = MAKE_VALUE(0x44, 14), /*!< scfg periph clock */ + CRM_TMR9_PERIPH_CLOCK = MAKE_VALUE(0x44, 16), /*!< tmr9 periph clock */ + CRM_TMR10_PERIPH_CLOCK = MAKE_VALUE(0x44, 17), /*!< tmr10 periph clock */ + CRM_TMR11_PERIPH_CLOCK = MAKE_VALUE(0x44, 18), /*!< tmr11 periph clock */ + CRM_ACC_PERIPH_CLOCK = MAKE_VALUE(0x44, 29) /*!< acc periph clock */ + +} crm_periph_clock_type; + +/** + * @brief crm periph reset + */ +typedef enum +{ + /* ahb periph1 */ + CRM_GPIOA_PERIPH_RESET = MAKE_VALUE(0x10, 0), /*!< gpioa periph reset */ + CRM_GPIOB_PERIPH_RESET = MAKE_VALUE(0x10, 1), /*!< gpiob periph reset */ + CRM_GPIOC_PERIPH_RESET = MAKE_VALUE(0x10, 2), /*!< gpioc periph reset */ + CRM_GPIOD_PERIPH_RESET = MAKE_VALUE(0x10, 3), /*!< gpiod periph reset */ + CRM_GPIOE_PERIPH_RESET = MAKE_VALUE(0x10, 4), /*!< gpioe periph reset */ + CRM_GPIOF_PERIPH_RESET = MAKE_VALUE(0x10, 5), /*!< gpiof periph reset */ + CRM_CRC_PERIPH_RESET = MAKE_VALUE(0x10, 12), /*!< crc periph reset */ + CRM_DMA1_PERIPH_RESET = MAKE_VALUE(0x10, 22), /*!< dma1 periph reset */ + CRM_DMA2_PERIPH_RESET = MAKE_VALUE(0x10, 24), /*!< dma2 periph reset */ + /* ahb periph2 */ + CRM_OTGFS1_PERIPH_RESET = MAKE_VALUE(0x14, 7), /*!< otgfs1 periph reset */ + /* ahb periph3 */ + CRM_XMC_PERIPH_RESET = MAKE_VALUE(0x18, 0), /*!< xmc periph reset */ + /* apb1 periph */ + CRM_TMR2_PERIPH_RESET = MAKE_VALUE(0x20, 0), /*!< tmr2 periph reset */ + CRM_TMR3_PERIPH_RESET = MAKE_VALUE(0x20, 1), /*!< tmr3 periph reset */ + CRM_TMR4_PERIPH_RESET = MAKE_VALUE(0x20, 2), /*!< tmr4 periph reset */ + CRM_TMR6_PERIPH_RESET = MAKE_VALUE(0x20, 4), /*!< tmr6 periph reset */ + CRM_TMR7_PERIPH_RESET = MAKE_VALUE(0x20, 5), /*!< tmr7 periph reset */ + CRM_TMR12_PERIPH_RESET = MAKE_VALUE(0x20, 6), /*!< tmr12 periph reset */ + CRM_TMR13_PERIPH_RESET = MAKE_VALUE(0x20, 7), /*!< tmr13 periph reset */ + CRM_TMR14_PERIPH_RESET = MAKE_VALUE(0x20, 8), /*!< tmr14 periph reset */ + CRM_WWDT_PERIPH_RESET = MAKE_VALUE(0x20, 11), /*!< wwdt periph reset */ + CRM_SPI2_PERIPH_RESET = MAKE_VALUE(0x20, 14), /*!< spi2 periph reset */ + CRM_SPI3_PERIPH_RESET = MAKE_VALUE(0x20, 15), /*!< spi3 periph reset */ + CRM_USART2_PERIPH_RESET = MAKE_VALUE(0x20, 17), /*!< usart2 periph reset */ + CRM_USART3_PERIPH_RESET = MAKE_VALUE(0x20, 18), /*!< usart3 periph reset */ + CRM_USART4_PERIPH_RESET = MAKE_VALUE(0x20, 19), /*!< usart4 periph reset */ + CRM_USART5_PERIPH_RESET = MAKE_VALUE(0x20, 20), /*!< usart5 periph reset */ + CRM_I2C1_PERIPH_RESET = MAKE_VALUE(0x20, 21), /*!< i2c1 periph reset */ + CRM_I2C2_PERIPH_RESET = MAKE_VALUE(0x20, 22), /*!< i2c2 periph reset */ + CRM_I2C3_PERIPH_RESET = MAKE_VALUE(0x20, 23), /*!< i2c3 periph reset */ + CRM_CAN1_PERIPH_RESET = MAKE_VALUE(0x20, 25), /*!< can1 periph reset */ + CRM_CAN2_PERIPH_RESET = MAKE_VALUE(0x20, 26), /*!< can2 periph reset */ + CRM_PWC_PERIPH_RESET = MAKE_VALUE(0x20, 28), /*!< pwc periph reset */ + CRM_DAC_PERIPH_RESET = MAKE_VALUE(0x20, 29), /*!< dac periph reset */ + CRM_USART7_PERIPH_RESET = MAKE_VALUE(0x20, 30), /*!< usart7 periph reset */ + CRM_USART8_PERIPH_RESET = MAKE_VALUE(0x20, 31), /*!< usart8 periph reset */ + /* apb2 periph */ + CRM_TMR1_PERIPH_RESET = MAKE_VALUE(0x24, 0), /*!< tmr1 periph reset */ + CRM_USART1_PERIPH_RESET = MAKE_VALUE(0x24, 4), /*!< usart1 periph reset */ + CRM_USART6_PERIPH_RESET = MAKE_VALUE(0x24, 5), /*!< usart6 periph reset */ + CRM_ADC_PERIPH_RESET = MAKE_VALUE(0x24, 8), /*!< adc periph reset */ + CRM_SPI1_PERIPH_RESET = MAKE_VALUE(0x24, 12), /*!< spi1 periph reset */ + CRM_SCFG_PERIPH_RESET = MAKE_VALUE(0x24, 14), /*!< scfg periph reset */ + CRM_TMR9_PERIPH_RESET = MAKE_VALUE(0x24, 16), /*!< tmr9 periph reset */ + CRM_TMR10_PERIPH_RESET = MAKE_VALUE(0x24, 17), /*!< tmr10 periph reset */ + CRM_TMR11_PERIPH_RESET = MAKE_VALUE(0x24, 18), /*!< tmr11 periph reset */ + CRM_ACC_PERIPH_RESET = MAKE_VALUE(0x24, 29) /*!< acc periph reset */ + +} crm_periph_reset_type; + +/** + * @brief crm periph clock in low power mode + */ +typedef enum +{ + /* ahb periph1 */ + CRM_GPIOA_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 0), /*!< gpioa sleep mode periph clock */ + CRM_GPIOB_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 1), /*!< gpiob sleep mode periph clock */ + CRM_GPIOC_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 2), /*!< gpioc sleep mode periph clock */ + CRM_GPIOD_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 3), /*!< gpiod sleep mode periph clock */ + CRM_GPIOE_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 4), /*!< gpioe sleep mode periph clock */ + CRM_GPIOF_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 5), /*!< gpiof sleep mode periph clock */ + CRM_CRC_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 12), /*!< crc sleep mode periph clock */ + CRM_FLASH_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 15), /*!< flash sleep mode periph clock */ + CRM_SRAM_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 16), /*!< sram sleep mode periph clock */ + CRM_DMA1_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 22), /*!< dma1 sleep mode periph clock */ + CRM_DMA2_PERIPH_LOWPOWER = MAKE_VALUE(0x50, 24), /*!< dma2 sleep mode periph clock */ + /* ahb periph2 */ + CRM_OTGFS1_PERIPH_LOWPOWER = MAKE_VALUE(0x54, 7), /*!< otgfs1 sleep mode periph clock */ + /* ahb periph3 */ + CRM_XMC_PERIPH_LOWPOWER = MAKE_VALUE(0x58, 0), /*!< xmc sleep mode periph clock */ + /* apb1 periph */ + CRM_TMR2_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 0), /*!< tmr2 sleep mode periph clock */ + CRM_TMR3_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 1), /*!< tmr3 sleep mode periph clock */ + CRM_TMR4_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 2), /*!< tmr4 sleep mode periph clock */ + CRM_TMR6_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 4), /*!< tmr6 sleep mode periph clock */ + CRM_TMR7_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 5), /*!< tmr7 sleep mode periph clock */ + CRM_TMR12_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 6), /*!< tmr12 sleep mode periph clock */ + CRM_TMR13_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 7), /*!< tmr13 sleep mode periph clock */ + CRM_TMR14_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 8), /*!< tmr14 sleep mode periph clock */ + CRM_WWDT_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 11), /*!< wwdt sleep mode periph clock */ + CRM_SPI2_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 14), /*!< spi2 sleep mode periph clock */ + CRM_SPI3_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 15), /*!< spi3 sleep mode periph clock */ + CRM_USART2_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 17), /*!< usart2 sleep mode periph clock */ + CRM_USART3_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 18), /*!< usart3 sleep mode periph clock */ + CRM_USART4_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 19), /*!< usart4 sleep mode periph clock */ + CRM_USART5_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 20), /*!< usart5 sleep mode periph clock */ + CRM_I2C1_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 21), /*!< i2c1 sleep mode periph clock */ + CRM_I2C2_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 22), /*!< i2c2 sleep mode periph clock */ + CRM_I2C3_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 23), /*!< i2c3 sleep mode periph clock */ + CRM_CAN1_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 25), /*!< can1 sleep mode periph clock */ + CRM_CAN2_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 26), /*!< can2 sleep mode periph clock */ + CRM_PWC_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 28), /*!< pwc sleep mode periph clock */ + CRM_DAC_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 29), /*!< dac sleep mode periph clock */ + CRM_USART7_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 30), /*!< usart7 sleep mode periph clock */ + CRM_USART8_PERIPH_LOWPOWER = MAKE_VALUE(0x60, 31), /*!< usart8 sleep mode periph clock */ + /* apb2 periph */ + CRM_TMR1_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 0), /*!< tmr1 sleep mode periph clock */ + CRM_TMR8_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 1), /*!< tmr8 sleep mode periph clock */ + CRM_USART1_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 4), /*!< usart1 sleep mode periph clock */ + CRM_USART6_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 5), /*!< usart6 sleep mode periph clock */ + CRM_ADC1_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 8), /*!< adc1 sleep mode periph clock */ + CRM_ADC2_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 9), /*!< adc2 sleep mode periph clock */ + CRM_ADC3_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 10), /*!< adc3 sleep mode periph clock */ + CRM_SPI1_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 12), /*!< spi1 sleep mode periph clock */ + CRM_SPI4_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 13), /*!< spi4 sleep mode periph clock */ + CRM_SCFG_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 14), /*!< scfg sleep mode periph clock */ + CRM_TMR9_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 16), /*!< tmr9 sleep mode periph clock */ + CRM_TMR10_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 17), /*!< tmr10 sleep mode periph clock */ + CRM_TMR11_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 18), /*!< tmr11 sleep mode periph clock */ + CRM_ACC_PERIPH_LOWPOWER = MAKE_VALUE(0x64, 29) /*!< acc sleep mode periph clock */ + +} crm_periph_clock_lowpower_type; + +/** + * @brief crm pll clock source + */ +typedef enum +{ + CRM_PLL_SOURCE_HICK = 0x00, /*!< high speed internal clock as pll reference clock source */ + CRM_PLL_SOURCE_HEXT = 0x01 /*!< high speed external crystal as pll reference clock source */ +} crm_pll_clock_source_type; + +/** + * @brief crm pll fr + */ +typedef enum +{ + CRM_PLL_FR_1 = 0x00, /*!< pll post-division div1 */ + CRM_PLL_FR_2 = 0x01, /*!< pll post-division div2 */ + CRM_PLL_FR_4 = 0x02, /*!< pll post-division div4 */ + CRM_PLL_FR_8 = 0x03, /*!< pll post-division div8 */ + CRM_PLL_FR_16 = 0x04, /*!< pll post-division div16 */ + CRM_PLL_FR_32 = 0x05 /*!< pll post-division div32 */ +} crm_pll_fr_type; + +/** + * @brief crm clock source + */ +typedef enum +{ + CRM_CLOCK_SOURCE_HICK = 0x00, /*!< high speed internal clock */ + CRM_CLOCK_SOURCE_HEXT = 0x01, /*!< high speed external crystal */ + CRM_CLOCK_SOURCE_PLL = 0x02, /*!< phase locking loop */ + CRM_CLOCK_SOURCE_LEXT = 0x03, /*!< low speed external crystal */ + CRM_CLOCK_SOURCE_LICK = 0x04 /*!< low speed internal clock */ +} crm_clock_source_type; + +/** + * @brief crm ahb division + */ +typedef enum +{ + CRM_AHB_DIV_1 = 0x00, /*!< sclk div1 to ahbclk */ + CRM_AHB_DIV_2 = 0x08, /*!< sclk div2 to ahbclk */ + CRM_AHB_DIV_4 = 0x09, /*!< sclk div4 to ahbclk */ + CRM_AHB_DIV_8 = 0x0A, /*!< sclk div8 to ahbclk */ + CRM_AHB_DIV_16 = 0x0B, /*!< sclk div16 to ahbclk */ + CRM_AHB_DIV_64 = 0x0C, /*!< sclk div64 to ahbclk */ + CRM_AHB_DIV_128 = 0x0D, /*!< sclk div128 to ahbclk */ + CRM_AHB_DIV_256 = 0x0E, /*!< sclk div256 to ahbclk */ + CRM_AHB_DIV_512 = 0x0F /*!< sclk div512 to ahbclk */ +} crm_ahb_div_type; + +/** + * @brief crm apb1 division + */ +typedef enum +{ + CRM_APB1_DIV_1 = 0x00, /*!< ahbclk div1 to apb1clk */ + CRM_APB1_DIV_2 = 0x04, /*!< ahbclk div2 to apb1clk */ + CRM_APB1_DIV_4 = 0x05, /*!< ahbclk div4 to apb1clk */ + CRM_APB1_DIV_8 = 0x06, /*!< ahbclk div8 to apb1clk */ + CRM_APB1_DIV_16 = 0x07 /*!< ahbclk div16 to apb1clk */ +} crm_apb1_div_type; + +/** + * @brief crm apb2 division + */ +typedef enum +{ + CRM_APB2_DIV_1 = 0x00, /*!< ahbclk div1 to apb2clk */ + CRM_APB2_DIV_2 = 0x04, /*!< ahbclk div2 to apb2clk */ + CRM_APB2_DIV_4 = 0x05, /*!< ahbclk div4 to apb2clk */ + CRM_APB2_DIV_8 = 0x06, /*!< ahbclk div8 to apb2clk */ + CRM_APB2_DIV_16 = 0x07 /*!< ahbclk div16 to apb2clk */ +} crm_apb2_div_type; + +/** + * @brief crm hext to sysclk division + */ +typedef enum +{ + CRM_HEXT_SCLK_DIV_1 = 0x00, /*!< hext div1 to sysclk */ + CRM_HEXT_SCLK_DIV_2 = 0x01, /*!< hext div2 to sysclk */ + CRM_HEXT_SCLK_DIV_4 = 0x02, /*!< hext div4 to sysclk */ + CRM_HEXT_SCLK_DIV_8 = 0x03, /*!< hext div8 to sysclk */ + CRM_HEXT_SCLK_DIV_16 = 0x04, /*!< hext div16 to sysclk */ + CRM_HEXT_SCLK_DIV_32 = 0x05 /*!< hext div32 to sysclk */ +} crm_hext_sclk_div_type; + +/** + * @brief crm hick to sysclk division + */ +typedef enum +{ + CRM_HICK_SCLK_DIV_1 = 0x00, /*!< hick div1 to sysclk */ + CRM_HICK_SCLK_DIV_2 = 0x01, /*!< hick div2 to sysclk */ + CRM_HICK_SCLK_DIV_4 = 0x02, /*!< hick div4 to sysclk */ + CRM_HICK_SCLK_DIV_8 = 0x03, /*!< hick div8 to sysclk */ + CRM_HICK_SCLK_DIV_16 = 0x04 /*!< hick div16 to sysclk */ +} crm_hick_sclk_div_type; + +/** + * @brief crm usb division + */ +typedef enum +{ + CRM_USB_DIV_3 = 0x00, /*!< pllclk div3 to usbclk */ + CRM_USB_DIV_2 = 0x01, /*!< pllclk div2 to usbclk */ + CRM_USB_DIV_5 = 0x02, /*!< pllclk div5 to usbclk */ + CRM_USB_DIV_4 = 0x03, /*!< pllclk div4 to usbclk */ + CRM_USB_DIV_7 = 0x04, /*!< pllclk div7 to usbclk */ + CRM_USB_DIV_6 = 0x05, /*!< pllclk div6 to usbclk */ + CRM_USB_DIV_9 = 0x06, /*!< pllclk div9 to usbclk */ + CRM_USB_DIV_8 = 0x07 /*!< pllclk div8 to usbclk */ +} crm_usb_div_type; + +/** + * @brief crm ertc clock + */ +typedef enum +{ + CRM_ERTC_CLOCK_NOCLK = 0x000, /*!< no clock as ertc clock source */ + CRM_ERTC_CLOCK_LEXT = 0x001, /*!< low speed external crystal as ertc clock source */ + CRM_ERTC_CLOCK_LICK = 0x002, /*!< low speed internal clock as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_2 = 0x023, /*!< high speed external crystal div2 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_3 = 0x033, /*!< high speed external crystal div3 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_4 = 0x043, /*!< high speed external crystal div4 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_5 = 0x053, /*!< high speed external crystal div5 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_6 = 0x063, /*!< high speed external crystal div6 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_7 = 0x073, /*!< high speed external crystal div7 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_8 = 0x083, /*!< high speed external crystal div8 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_9 = 0x093, /*!< high speed external crystal div9 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_10 = 0x0A3, /*!< high speed external crystal div10 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_11 = 0x0B3, /*!< high speed external crystal div11 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_12 = 0x0C3, /*!< high speed external crystal div12 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_13 = 0x0D3, /*!< high speed external crystal div13 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_14 = 0x0E3, /*!< high speed external crystal div14 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_15 = 0x0F3, /*!< high speed external crystal div15 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_16 = 0x103, /*!< high speed external crystal div16 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_17 = 0x113, /*!< high speed external crystal div17 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_18 = 0x123, /*!< high speed external crystal div18 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_19 = 0x133, /*!< high speed external crystal div19 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_20 = 0x143, /*!< high speed external crystal div20 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_21 = 0x153, /*!< high speed external crystal div21 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_22 = 0x163, /*!< high speed external crystal div22 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_23 = 0x173, /*!< high speed external crystal div23 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_24 = 0x183, /*!< high speed external crystal div24 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_25 = 0x193, /*!< high speed external crystal div25 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_26 = 0x1A3, /*!< high speed external crystal div26 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_27 = 0x1B3, /*!< high speed external crystal div27 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_28 = 0x1C3, /*!< high speed external crystal div28 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_29 = 0x1D3, /*!< high speed external crystal div29 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_30 = 0x1E3, /*!< high speed external crystal div30 as ertc clock source */ + CRM_ERTC_CLOCK_HEXT_DIV_31 = 0x1F3 /*!< high speed external crystal div31 as ertc clock source */ +} crm_ertc_clock_type; + +/** + * @brief crm hick 48mhz division + */ +typedef enum +{ + CRM_HICK48_DIV6 = 0x00, /*!< fixed 8 mhz when hick is selected as sclk */ + CRM_HICK48_NODIV = 0x01 /*!< 8 mhz or 48 mhz depend on hickdiv when hick is selected as sclk */ +} crm_hick_div_6_type; + +/** + * @brief crm sclk select + */ +typedef enum +{ + CRM_SCLK_HICK = 0x00, /*!< select high speed internal clock as sclk */ + CRM_SCLK_HEXT = 0x01, /*!< select high speed external crystal as sclk */ + CRM_SCLK_PLL = 0x02 /*!< select phase locking loop clock as sclk */ +} crm_sclk_type; + +/** + * @brief crm clkout2 select + */ +typedef enum +{ + CRM_CLKOUT_SCLK = 0x00, /*!< output system clock to clkout2 pin */ + CRM_CLKOUT_HEXT = 0x02, /*!< output high speed external crystal to clkout2 pin */ + CRM_CLKOUT_PLL = 0x03, /*!< output phase locking loop clock to clkout2 pin */ + CRM_CLKOUT_USB = 0x10, /*!< output usbclk to clkout2 pin */ + CRM_CLKOUT_ADC = 0x11, /*!< output adcclk to clkout2 pin */ + CRM_CLKOUT_HICK = 0x12, /*!< output high speed internal clock to clkout2 pin */ + CRM_CLKOUT_LICK = 0x13, /*!< output low speed internal clock to clkout2 pin */ + CRM_CLKOUT_LEXT = 0x14 /*!< output low speed external crystal to clkout2 pin */ +} crm_clkout_select_type; + +/** + * @brief crm clkout division1 + */ +typedef enum +{ + CRM_CLKOUT_DIV1_1 = 0x00, /*!< clkout division1 div1 */ + CRM_CLKOUT_DIV1_2 = 0x04, /*!< clkout division1 div2 */ + CRM_CLKOUT_DIV1_3 = 0x05, /*!< clkout division1 div3 */ + CRM_CLKOUT_DIV1_4 = 0x06, /*!< clkout division1 div4 */ + CRM_CLKOUT_DIV1_5 = 0x07 /*!< clkout division1 div5 */ +} crm_clkout_div1_type; + +/** + * @brief crm clkout division2 + */ +typedef enum +{ + CRM_CLKOUT_DIV2_1 = 0x00, /*!< clkout division2 div1 */ + CRM_CLKOUT_DIV2_2 = 0x08, /*!< clkout division2 div2 */ + CRM_CLKOUT_DIV2_4 = 0x09, /*!< clkout division2 div4 */ + CRM_CLKOUT_DIV2_8 = 0x0A, /*!< clkout division2 div8 */ + CRM_CLKOUT_DIV2_16 = 0x0B, /*!< clkout division2 div16 */ + CRM_CLKOUT_DIV2_64 = 0x0C, /*!< clkout division2 div64 */ + CRM_CLKOUT_DIV2_128 = 0x0D, /*!< clkout division2 div128 */ + CRM_CLKOUT_DIV2_256 = 0x0E, /*!< clkout division2 div256 */ + CRM_CLKOUT_DIV2_512 = 0x0F /*!< clkout division2 div512 */ +} crm_clkout_div2_type; + +/** + * @brief crm auto step mode + */ +typedef enum +{ + CRM_AUTO_STEP_MODE_DISABLE = 0x00, /*!< disable auto step mode */ + CRM_AUTO_STEP_MODE_ENABLE = 0x03 /*!< enable auto step mode */ +} crm_auto_step_mode_type; + +/** + * @brief crm usart index + */ +typedef enum +{ + CRM_USART1 = 0x00, /*!< usart1 */ + CRM_USART2 = 0x01, /*!< usart2 */ + CRM_USART3 = 0x02 /*!< usart3 */ +} crm_usart_type; + +/** + * @brief crm i2c index + */ +typedef enum +{ + CRM_I2C1 = 0x00 /*!< i2c1 */ +} crm_i2c_type; + +/** + * @brief crm usart clock source + */ +typedef enum +{ + CRM_USART_CLOCK_SOURCE_PCLK = 0x00, /*!< select pclk clock as usart clock source */ + CRM_USART_CLOCK_SOURCE_SCLK = 0x01, /*!< select system clock as usart clock source */ + CRM_USART_CLOCK_SOURCE_HICK = 0x02, /*!< select high speed internal clock as usart clock source */ + CRM_USART_CLOCK_SOURCE_LEXT = 0x03 /*!< select low speed external crystal as usart clock source */ +} crm_usart_clock_source_type; + +/** + * @brief crm i2c clock source + */ +typedef enum +{ + CRM_I2C_CLOCK_SOURCE_PCLK = 0x00, /*!< select pclk clock as usart clock source */ + CRM_I2C_CLOCK_SOURCE_SCLK = 0x01, /*!< select system clock as usart clock source */ + CRM_I2C_CLOCK_SOURCE_HICK = 0x02 /*!< select high speed internal clock as usart clock source */ +} crm_i2c_clock_source_type; + +/** + * @brief crm adc clock source + */ +typedef enum +{ + CRM_ADC_CLOCK_SOURCE_HCLK = 0x00, /*!< select hclk clock as adc clock source */ + CRM_ADC_CLOCK_SOURCE_PLLCLK = 0x01 /*!< select pll clock as adc clock source */ +} crm_adc_clock_source_type; + +/** + * @brief crm usb 48 mhz clock source select + */ +typedef enum +{ + CRM_USB_CLOCK_SOURCE_PLL = 0x00, /*!< select phase locking loop clock as usb clock source */ + CRM_USB_CLOCK_SOURCE_HICK = 0x01 /*!< select high speed internal clock as usb clock source */ +} crm_usb_clock_source_type; + +/** + * @brief crm hick as system clock frequency select + */ +typedef enum +{ + CRM_HICK_SCLK_8MHZ = 0x00, /*!< fixed 8 mhz when hick is selected as sclk */ + CRM_HICK_SCLK_48MHZ = 0x01 /*!< 8 mhz or 48 mhz depend on hickdiv when hick is selected as sclk */ +} crm_hick_sclk_frequency_type; + +/** + * @brief crm clocks freqency structure + */ +typedef struct +{ + uint32_t sclk_freq; /*!< system clock frequency */ + uint32_t ahb_freq; /*!< ahb bus clock frequency */ + uint32_t apb2_freq; /*!< apb2 bus clock frequency */ + uint32_t apb1_freq; /*!< apb1 bus clock frequency */ +} crm_clocks_freq_type; + +/** + * @brief type define crm register all + */ +typedef struct +{ + /** + * @brief crm ctrl register, offset:0x00 + */ + union + { + __IO uint32_t ctrl; + struct + { + __IO uint32_t hicken : 1; /* [0] */ + __IO uint32_t hickstbl : 1; /* [1] */ + __IO uint32_t hicktrim : 6; /* [7:2] */ + __IO uint32_t hickcal : 8; /* [15:8] */ + __IO uint32_t hexten : 1; /* [16] */ + __IO uint32_t hextstbl : 1; /* [17] */ + __IO uint32_t hextbyps : 1; /* [18] */ + __IO uint32_t cfden : 1; /* [19] */ + __IO uint32_t reserved1 : 4; /* [23:20] */ + __IO uint32_t pllen : 1; /* [24] */ + __IO uint32_t pllstbl : 1; /* [25] */ + __IO uint32_t reserved2 : 6; /* [31:26] */ + } ctrl_bit; + }; + + /** + * @brief crm pllcfg register, offset:0x04 + */ + union + { + __IO uint32_t pllcfg; + struct + { + __IO uint32_t pllms : 4; /* [3:0] */ + __IO uint32_t reserved1 : 2; /* [5:4] */ + __IO uint32_t pllns : 9; /* [14:6] */ + __IO uint32_t reserved2 : 1; /* [15] */ + __IO uint32_t pllfr : 3; /* [18:16] */ + __IO uint32_t reserved3 : 3; /* [21:19] */ + __IO uint32_t pllrcs : 1; /* [22] */ + __IO uint32_t reserved4 : 9; /* [31:23] */ + } pllcfg_bit; + }; + + /** + * @brief crm cfg register, offset:0x08 + */ + union + { + __IO uint32_t cfg; + struct + { + __IO uint32_t sclksel : 2; /* [1:0] */ + __IO uint32_t sclksts : 2; /* [3:2] */ + __IO uint32_t ahbdiv : 4; /* [7:4] */ + __IO uint32_t reserved1 : 2; /* [9:8] */ + __IO uint32_t apb1div : 3; /* [12:10] */ + __IO uint32_t apb2div : 3; /* [15:13] */ + __IO uint32_t ertcdiv : 5; /* [20:16] */ + __IO uint32_t reserved2 : 6; /* [26:21] */ + __IO uint32_t clkoutdiv1 : 3; /* [29:27] */ + __IO uint32_t clkout_sel1 : 2; /* [31:30] */ + } cfg_bit; + }; + + /** + * @brief crm clkint register, offset:0x0C + */ + union + { + __IO uint32_t clkint; + struct + { + __IO uint32_t lickstblf : 1; /* [0] */ + __IO uint32_t lextstblf : 1; /* [1] */ + __IO uint32_t hickstblf : 1; /* [2] */ + __IO uint32_t hextstblf : 1; /* [3] */ + __IO uint32_t pllstblf : 1; /* [4] */ + __IO uint32_t reserved1 : 2; /* [6:5] */ + __IO uint32_t cfdf : 1; /* [7] */ + __IO uint32_t lickstblien : 1; /* [8] */ + __IO uint32_t lextstblien : 1; /* [9] */ + __IO uint32_t hickstblien : 1; /* [10] */ + __IO uint32_t hextstblien : 1; /* [11] */ + __IO uint32_t pllstblien : 1; /* [12] */ + __IO uint32_t reserved2 : 3; /* [15:13] */ + __IO uint32_t lickstblfc : 1; /* [16] */ + __IO uint32_t lextstblfc : 1; /* [17] */ + __IO uint32_t hickstblfc : 1; /* [18] */ + __IO uint32_t hextstblfc : 1; /* [19] */ + __IO uint32_t pllstblfc : 1; /* [20] */ + __IO uint32_t reserved3 : 2; /* [22:21] */ + __IO uint32_t cfdfc : 1; /* [23] */ + __IO uint32_t reserved4 : 8; /* [31:24] */ + } clkint_bit; + }; + + /** + * @brief crm ahbrst1 register, offset:0x10 + */ + union + { + __IO uint32_t ahbrst1; + struct + { + __IO uint32_t gpioarst : 1; /* [0] */ + __IO uint32_t gpiobrst : 1; /* [1] */ + __IO uint32_t gpiocrst : 1; /* [2] */ + __IO uint32_t gpiodrst : 1; /* [3] */ + __IO uint32_t gpioerst : 1; /* [4] */ + __IO uint32_t gpiofrst : 1; /* [5] */ + __IO uint32_t reserved1 : 6; /* [11:6] */ + __IO uint32_t crcrst : 1; /* [12] */ + __IO uint32_t reserved2 : 9; /* [21:13] */ + __IO uint32_t dma1rst : 1; /* [22] */ + __IO uint32_t reserved3 : 1; /* [23] */ + __IO uint32_t dma2rst : 1; /* [24] */ + __IO uint32_t reserved4 : 7; /* [31:25] */ + } ahbrst1_bit; + }; + + /** + * @brief crm ahbrst2 register, offset:0x14 + */ + union + { + __IO uint32_t ahbrst2; + struct + { + __IO uint32_t reserved1 : 7; /* [6:0] */ + __IO uint32_t otgfs1rst : 1; /* [7] */ + __IO uint32_t reserved2 : 24;/* [31:8] */ + } ahbrst2_bit; + }; + + /** + * @brief crm ahbrst3 register, offset:0x18 + */ + union + { + __IO uint32_t ahbrst3; + struct + { + __IO uint32_t xmcrst : 1; /* [0] */ + __IO uint32_t reserved1 : 31;/* [31:1] */ + } ahbrst3_bit; + }; + + /** + * @brief crm reserved1 register, offset:0x1C + */ + __IO uint32_t reserved1; + + /** + * @brief crm apb1rst register, offset:0x20 + */ + union + { + __IO uint32_t apb1rst; + struct + { + __IO uint32_t tmr2rst : 1; /* [0] */ + __IO uint32_t tmr3rst : 1; /* [1] */ + __IO uint32_t tmr4rst : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t tmr6rst : 1; /* [4] */ + __IO uint32_t tmr7rst : 1; /* [5] */ + __IO uint32_t tmr12rst : 1; /* [6] */ + __IO uint32_t tmr13rst : 1; /* [7] */ + __IO uint32_t adc14rst : 1; /* [8] */ + __IO uint32_t reserved2 : 2; /* [10:9] */ + __IO uint32_t wwdtrst : 1; /* [11] */ + __IO uint32_t reserved3 : 2; /* [13:12] */ + __IO uint32_t spi2rst : 1; /* [14] */ + __IO uint32_t spi3rst : 1; /* [15] */ + __IO uint32_t reserved4 : 1; /* [16] */ + __IO uint32_t usart2rst : 1; /* [17] */ + __IO uint32_t usart3rst : 1; /* [18] */ + __IO uint32_t usart4rst : 1; /* [19] */ + __IO uint32_t usart5rst : 1; /* [20] */ + __IO uint32_t i2c1rst : 1; /* [21] */ + __IO uint32_t i2c2rst : 1; /* [22] */ + __IO uint32_t i2c3rst : 1; /* [23] */ + __IO uint32_t reserved5 : 1; /* [24] */ + __IO uint32_t can1rst : 1; /* [25] */ + __IO uint32_t can2rst : 1; /* [26] */ + __IO uint32_t reserved6 : 1; /* [27] */ + __IO uint32_t pwcrst : 1; /* [28] */ + __IO uint32_t dacrst : 1; /* [29] */ + __IO uint32_t usart7rst : 1; /* [30] */ + __IO uint32_t usart8rst : 1; /* [31] */ + } apb1rst_bit; + }; + + /** + * @brief crm apb2rst register, offset:0x24 + */ + union + { + __IO uint32_t apb2rst; + struct + { + __IO uint32_t tmr1rst : 1; /* [0] */ + __IO uint32_t reserved1 : 3; /* [3:1] */ + __IO uint32_t usart1rst : 1; /* [4] */ + __IO uint32_t usart6rst : 1; /* [5] */ + __IO uint32_t reserved2 : 2; /* [7:6] */ + __IO uint32_t adcrst : 1; /* [8] */ + __IO uint32_t reserved3 : 3; /* [11:9] */ + __IO uint32_t spi1rst : 1; /* [12] */ + __IO uint32_t reserved4 : 1; /* [13] */ + __IO uint32_t scfgrst : 1; /* [14] */ + __IO uint32_t reserved5 : 1; /* [15] */ + __IO uint32_t tmr9rst : 1; /* [16] */ + __IO uint32_t tmr10rst : 1; /* [17] */ + __IO uint32_t tmr11rst : 1; /* [18] */ + __IO uint32_t reserved6 : 10;/* [28:19] */ + __IO uint32_t accrst : 1; /* [29] */ + __IO uint32_t reserved7 : 2; /* [31:30] */ + } apb2rst_bit; + }; + + /** + * @brief crm reserved2 register, offset:0x28~0x2C + */ + __IO uint32_t reserved2[2]; + + /** + * @brief crm ahben1 register, offset:0x30 + */ + union + { + __IO uint32_t ahben1; + struct + { + __IO uint32_t gpioaen : 1; /* [0] */ + __IO uint32_t gpioben : 1; /* [1] */ + __IO uint32_t gpiocen : 1; /* [2] */ + __IO uint32_t gpioden : 1; /* [3] */ + __IO uint32_t gpioeen : 1; /* [4] */ + __IO uint32_t gpiofen : 1; /* [5] */ + __IO uint32_t reserved1 : 6; /* [11:6] */ + __IO uint32_t crcen : 1; /* [12] */ + __IO uint32_t reserved2 : 9; /* [21:13] */ + __IO uint32_t dma1en : 1; /* [22] */ + __IO uint32_t reserved3 : 1; /* [23] */ + __IO uint32_t dma2en : 1; /* [24] */ + __IO uint32_t reserved4 : 7; /* [31:25] */ + } ahben1_bit; + }; + + /** + * @brief crm ahben2 register, offset:0x34 + */ + union + { + __IO uint32_t ahben2; + struct + { + __IO uint32_t reserved1 : 7; /* [6:0] */ + __IO uint32_t otgfs1en : 1; /* [7] */ + __IO uint32_t reserved2 : 24;/* [31:8] */ + } ahben2_bit; + }; + + /** + * @brief crm ahben3 register, offset:0x38 + */ + union + { + __IO uint32_t ahben3; + struct + { + __IO uint32_t xmcen : 1; /* [0] */ + __IO uint32_t reserved1 : 31;/* [31:1] */ + } ahben3_bit; + }; + + /** + * @brief crm reserved3 register, offset:0x3C + */ + __IO uint32_t reserved3; + + /** + * @brief crm apb1en register, offset:0x40 + */ + union + { + __IO uint32_t apb1en; + struct + { + __IO uint32_t tmr2en : 1; /* [0] */ + __IO uint32_t tmr3en : 1; /* [1] */ + __IO uint32_t tmr4en : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t tmr6en : 1; /* [4] */ + __IO uint32_t tmr7en : 1; /* [5] */ + __IO uint32_t tmr12en : 1; /* [6] */ + __IO uint32_t tmr13en : 1; /* [7] */ + __IO uint32_t adc14en : 1; /* [8] */ + __IO uint32_t reserved2 : 2; /* [10:9] */ + __IO uint32_t wwdten : 1; /* [11] */ + __IO uint32_t reserved3 : 2; /* [13:12] */ + __IO uint32_t spi2en : 1; /* [14] */ + __IO uint32_t spi3en : 1; /* [15] */ + __IO uint32_t reserved4 : 1; /* [16] */ + __IO uint32_t usart2en : 1; /* [17] */ + __IO uint32_t usart3en : 1; /* [18] */ + __IO uint32_t usart4en : 1; /* [19] */ + __IO uint32_t usart5en : 1; /* [20] */ + __IO uint32_t i2c1en : 1; /* [21] */ + __IO uint32_t i2c2en : 1; /* [22] */ + __IO uint32_t i2c3en : 1; /* [23] */ + __IO uint32_t reserved5 : 1; /* [24] */ + __IO uint32_t can1en : 1; /* [25] */ + __IO uint32_t can2en : 1; /* [26] */ + __IO uint32_t reserved6 : 1; /* [27] */ + __IO uint32_t pwcen : 1; /* [28] */ + __IO uint32_t dacen : 1; /* [29] */ + __IO uint32_t usart7en : 1; /* [30] */ + __IO uint32_t usart8en : 1; /* [31] */ + } apb1en_bit; + }; + + /** + * @brief crm apb2en register, offset:0x44 + */ + union + { + __IO uint32_t apb2en; + struct + { + __IO uint32_t tmr1en : 1; /* [0] */ + __IO uint32_t reserved1 : 3; /* [3:1] */ + __IO uint32_t usart1en : 1; /* [4] */ + __IO uint32_t usart6en : 1; /* [5] */ + __IO uint32_t reserved2 : 2; /* [7:6] */ + __IO uint32_t adc1en : 1; /* [8] */ + __IO uint32_t reserved3 : 3; /* [11:9] */ + __IO uint32_t spi1en : 1; /* [12] */ + __IO uint32_t reserved4 : 1; /* [13] */ + __IO uint32_t scfgen : 1; /* [14] */ + __IO uint32_t reserved5 : 1; /* [15] */ + __IO uint32_t tmr9en : 1; /* [16] */ + __IO uint32_t tmr10en : 1; /* [17] */ + __IO uint32_t tmr11en : 1; /* [18] */ + __IO uint32_t reserved6 : 10;/* [28:19] */ + __IO uint32_t accen : 1; /* [29] */ + __IO uint32_t reserved7 : 2; /* [31:30] */ + } apb2en_bit; + }; + + /** + * @brief crm reserved4 register, offset:0x48~0x4C + */ + __IO uint32_t reserved4[2]; + + /** + * @brief crm ahblpen1 register, offset:0x50 + */ + union + { + __IO uint32_t ahblpen1; + struct + { + __IO uint32_t gpioalpen : 1; /* [0] */ + __IO uint32_t gpioblpen : 1; /* [1] */ + __IO uint32_t gpioclpen : 1; /* [2] */ + __IO uint32_t gpiodlpen : 1; /* [3] */ + __IO uint32_t gpioelpen : 1; /* [4] */ + __IO uint32_t gpioflpen : 1; /* [5] */ + __IO uint32_t reserved1 : 6; /* [11:6] */ + __IO uint32_t crclpen : 1; /* [12] */ + __IO uint32_t reserved2 : 9; /* [21:13] */ + __IO uint32_t dma1lpen : 1; /* [22] */ + __IO uint32_t reserved3 : 1; /* [23] */ + __IO uint32_t dma2lpen : 1; /* [24] */ + __IO uint32_t reserved4 : 7; /* [31:25] */ + } ahblpen1_bit; + }; + + /** + * @brief crm ahblpen2 register, offset:0x54 + */ + union + { + __IO uint32_t ahblpen2; + struct + { + __IO uint32_t reserved1 : 7; /* [6:0] */ + __IO uint32_t otgfs1lpen : 1; /* [7] */ + __IO uint32_t reserved2 : 24;/* [31:8] */ + } ahblpen2_bit; + }; + + /** + * @brief crm ahblpen3 register, offset:0x58 + */ + union + { + __IO uint32_t ahblpen3; + struct + { + __IO uint32_t xmclpen : 1; /* [0] */ + __IO uint32_t reserved1 : 31;/* [31:1] */ + } ahblpen3_bit; + }; + + /** + * @brief crm reserved5 register, offset:0x5C + */ + __IO uint32_t reserved5; + + /** + * @brief crm apb1lpen register, offset:0x60 + */ + union + { + __IO uint32_t apb1lpen; + struct + { + __IO uint32_t tmr2lpen : 1; /* [0] */ + __IO uint32_t tmr3lpen : 1; /* [1] */ + __IO uint32_t tmr4lpen : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t tmr6lpen : 1; /* [4] */ + __IO uint32_t tmr7lpen : 1; /* [5] */ + __IO uint32_t tmr12lpen : 1; /* [6] */ + __IO uint32_t tmr13lpen : 1; /* [7] */ + __IO uint32_t tmr14lpen : 1; /* [8] */ + __IO uint32_t reserved2 : 2; /* [10:9] */ + __IO uint32_t wwdtlpen : 1; /* [11] */ + __IO uint32_t reserved3 : 2; /* [13:12] */ + __IO uint32_t spi2lpen : 1; /* [14] */ + __IO uint32_t spi3lpen : 1; /* [15] */ + __IO uint32_t reserved4 : 1; /* [16] */ + __IO uint32_t usart2lpen : 1; /* [17] */ + __IO uint32_t usart3lpen : 1; /* [18] */ + __IO uint32_t usart4lpen : 1; /* [19] */ + __IO uint32_t usart5lpen : 1; /* [20] */ + __IO uint32_t i2c1lpen : 1; /* [21] */ + __IO uint32_t i2c2lpen : 1; /* [22] */ + __IO uint32_t i2c3lpen : 1; /* [23] */ + __IO uint32_t reserved5 : 1; /* [24] */ + __IO uint32_t can1lpen : 1; /* [25] */ + __IO uint32_t can2lpen : 1; /* [26] */ + __IO uint32_t reserved6 : 1; /* [27] */ + __IO uint32_t pwclpen : 1; /* [28] */ + __IO uint32_t daclpen : 1; /* [29] */ + __IO uint32_t usart7lpen : 1; /* [30] */ + __IO uint32_t usart8lpen : 1; /* [31] */ + } apb1lpen_bit; + }; + + /** + * @brief crm apb2lpen register, offset:0x64 + */ + union + { + __IO uint32_t apb2lpen; + struct + { + __IO uint32_t tmr1lpen : 1; /* [0] */ + __IO uint32_t reserved1 : 3; /* [3:1] */ + __IO uint32_t usart1lpen : 1; /* [4] */ + __IO uint32_t usart6lpen : 1; /* [5] */ + __IO uint32_t reserved2 : 2; /* [7:6] */ + __IO uint32_t adc1lpen : 1; /* [8] */ + __IO uint32_t reserved3 : 3; /* [11:9] */ + __IO uint32_t spi1lpen : 1; /* [12] */ + __IO uint32_t reserved4 : 1; /* [13] */ + __IO uint32_t scfglpen : 1; /* [14] */ + __IO uint32_t reserved5 : 1; /* [15] */ + __IO uint32_t tmr9lpen : 1; /* [16] */ + __IO uint32_t tmr10lpen : 1; /* [17] */ + __IO uint32_t tmr11lpen : 1; /* [18] */ + __IO uint32_t reserved6 : 10;/* [28:19] */ + __IO uint32_t acclpen : 1; /* [29] */ + __IO uint32_t reserved7 : 2; /* [31:30] */ + } apb2lpen_bit; + }; + + /** + * @brief crm piclks register, offset:0x68 + */ + union + { + __IO uint32_t piclks; + struct + { + __IO uint32_t usart1sel : 2; /* [1:0] */ + __IO uint32_t usart2sel : 2; /* [3:2] */ + __IO uint32_t usart3sel : 2; /* [5:4] */ + __IO uint32_t reserved1 : 6; /* [11:6] */ + __IO uint32_t i2c1sel : 2; /* [13:12] */ + __IO uint32_t reserved2 : 18;/* [31:14] */ + } piclks_bit; + }; + + /** + * @brief crm reserved6 register, offset:0x6C + */ + __IO uint32_t reserved6; + + /** + * @brief crm bpdc register, offset:0x70 + */ + union + { + __IO uint32_t bpdc; + struct + { + __IO uint32_t lexten : 1; /* [0] */ + __IO uint32_t lextstbl : 1; /* [1] */ + __IO uint32_t lextbyps : 1; /* [2] */ + __IO uint32_t reserved1 : 5; /* [7:3] */ + __IO uint32_t ertcsel : 2; /* [9:8] */ + __IO uint32_t reserved2 : 5; /* [14:10] */ + __IO uint32_t ertcen : 1; /* [15] */ + __IO uint32_t bpdrst : 1; /* [16] */ + __IO uint32_t reserved3 : 15;/* [31:17] */ + } bpdc_bit; + }; + + /** + * @brief crm ctrlsts register, offset:0x74 + */ + union + { + __IO uint32_t ctrlsts; + struct + { + __IO uint32_t licken : 1; /* [0] */ + __IO uint32_t lickstbl : 1; /* [1] */ + __IO uint32_t reserved1 : 22;/* [23:2] */ + __IO uint32_t rstfc : 1; /* [24] */ + __IO uint32_t reserved2 : 1; /* [25] */ + __IO uint32_t nrstf : 1; /* [26] */ + __IO uint32_t porrstf : 1; /* [27] */ + __IO uint32_t swrstf : 1; /* [28] */ + __IO uint32_t wdtrstf : 1; /* [29] */ + __IO uint32_t wwdtrstf : 1; /* [30] */ + __IO uint32_t lprstf : 1; /* [31] */ + } ctrlsts_bit; + }; + + /** + * @brief crm reserved7 register, offset:0x78~0x9C + */ + __IO uint32_t reserved7[10]; + + /** + * @brief crm misc1 register, offset:0xA0 + */ + union + { + __IO uint32_t misc1; + struct + { + __IO uint32_t hickcal_key : 8; /* [7:0] */ + __IO uint32_t reserved1 : 4; /* [11:8] */ + __IO uint32_t hickdiv : 1; /* [12] */ + __IO uint32_t hick_to_usb : 1; /* [13] */ + __IO uint32_t hick_to_sclk : 1; /* [14] */ + __IO uint32_t pllclk_to_adc : 1; /* [15] */ + __IO uint32_t clkout_sel2 : 4; /* [19:16] */ + __IO uint32_t reserved2 : 8; /* [27:20] */ + __IO uint32_t clkoutdiv2 : 4; /* [31:28] */ + } misc1_bit; + }; + + /** + * @brief crm misc2 register, offset:0xA4 + */ + union + { + __IO uint32_t misc2; + struct + { + __IO uint32_t reserved1 : 4; /* [3:0] */ + __IO uint32_t auto_step_en : 2; /* [5:4] */ + __IO uint32_t reserved2 : 6; /* [11:6] */ + __IO uint32_t usbdiv : 4; /* [15:12] */ + __IO uint32_t hick_to_sclk_div : 3; /* [18:16] */ + __IO uint32_t hext_to_sclk_div : 3; /* [21:19] */ + __IO uint32_t reserved3 : 10;/* [31:22] */ + } misc2_bit; + }; + +} crm_type; + +/** + * @} + */ + +#define CRM ((crm_type *) CRM_BASE) + +/** @defgroup CRM_exported_functions + * @{ + */ + +void crm_reset(void); +void crm_lext_bypass(confirm_state new_state); +void crm_hext_bypass(confirm_state new_state); +flag_status crm_flag_get(uint32_t flag); +flag_status crm_interrupt_flag_get(uint32_t flag); +error_status crm_hext_stable_wait(void); +void crm_hick_clock_trimming_set(uint8_t trim_value); +void crm_hick_clock_calibration_set(uint8_t cali_value); +void crm_periph_clock_enable(crm_periph_clock_type value, confirm_state new_state); +void crm_periph_reset(crm_periph_reset_type value, confirm_state new_state); +void crm_periph_lowpower_mode_enable(crm_periph_clock_lowpower_type value, confirm_state new_state); +void crm_clock_source_enable(crm_clock_source_type source, confirm_state new_state); +void crm_flag_clear(uint32_t flag); +void crm_ertc_clock_select(crm_ertc_clock_type value); +void crm_ertc_clock_enable(confirm_state new_state); +void crm_ahb_div_set(crm_ahb_div_type value); +void crm_apb1_div_set(crm_apb1_div_type value); +void crm_apb2_div_set(crm_apb2_div_type value); +void crm_hext_sclk_div_set(crm_hext_sclk_div_type value); +void crm_hick_sclk_div_set(crm_hick_sclk_div_type value); +void crm_usb_clock_div_set(crm_usb_div_type value); +void crm_clock_failure_detection_enable(confirm_state new_state); +void crm_battery_powered_domain_reset(confirm_state new_state); +void crm_auto_step_mode_enable(confirm_state new_state); +void crm_hick_divider_select(crm_hick_div_6_type value); +void crm_hick_sclk_frequency_select(crm_hick_sclk_frequency_type value); +void crm_usb_clock_source_select(crm_usb_clock_source_type value); +void crm_usart_clock_select(crm_usart_type usart_index, crm_usart_clock_source_type value); +crm_usart_clock_source_type crm_usart_clock_get(crm_usart_type usart_index); +void crm_i2c_clock_select(crm_i2c_type i2c_index, crm_i2c_clock_source_type value); +crm_i2c_clock_source_type crm_i2c_clock_get(crm_i2c_type i2c_index); +void crm_adc_clock_select(crm_adc_clock_source_type value); +void crm_pll_config(crm_pll_clock_source_type clock_source, uint16_t pll_ns, \ + uint16_t pll_ms, crm_pll_fr_type pll_fr); +void crm_sysclk_switch(crm_sclk_type value); +crm_sclk_type crm_sysclk_switch_status_get(void); +void crm_clocks_freq_get(crm_clocks_freq_type *clocks_struct); +void crm_clock_out_set(crm_clkout_select_type clkout); +void crm_clkout_div_set(crm_clkout_div1_type div1, crm_clkout_div2_type div2); +void crm_interrupt_enable(uint32_t crm_int, confirm_state new_state); +error_status crm_pll_parameter_calculate(crm_pll_clock_source_type pll_rcs, uint32_t target_sclk_freq, \ + uint16_t *ret_ms, uint16_t *ret_ns, uint16_t *ret_fr); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_dac.h b/Firmware/drivers/inc/at32a423_dac.h new file mode 100644 index 0000000..6bea8d6 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_dac.h @@ -0,0 +1,393 @@ +/** + ************************************************************************** + * @file at32a423_dac.h + * @brief at32a423 dac header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_DAC_H +#define __AT32A423_DAC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup DAC + * @{ + */ + +#define DAC1_D1DMAUDRF ((uint32_t)(0x00002000)) +#define DAC2_D2DMAUDRF ((uint32_t)(0x20000000)) + +/** @defgroup DAC_exported_types + * @{ + */ + +/** + * @brief dac select type + */ +typedef enum +{ + DAC1_SELECT = 0x01, /*!< dac1 select */ + DAC2_SELECT = 0x02 /*!< dac2 select */ +} dac_select_type; + +/** + * @brief dac trigger type + */ +typedef enum +{ + DAC_TMR6_TRGOUT_EVENT = 0x00, /*!< dac trigger selection:timer6 trgout event */ + DAC_TMR3_TRGOUT_EVENT = 0x01, /*!< dac trigger selection:timer3 trgout event */ + DAC_TMR7_TRGOUT_EVENT = 0x02, /*!< dac trigger selection:timer7 trgout event */ + DAC_TMR9_TRGOUT_EVENT = 0x03, /*!< dac trigger selection:timer9 trgout event */ + DAC_TMR2_TRGOUT_EVENT = 0x04, /*!< dac trigger selection:timer2 trgout event */ + DAC_TMR4_TRGOUT_EVENT = 0x05, /*!< dac trigger selection:timer4 trgout event */ + DAC_EXTERNAL_INTERRUPT_LINE_9 = 0x06, /*!< dac trigger selection:external line9 */ + DAC_SOFTWARE_TRIGGER = 0x07 /*!< dac trigger selection:software trigger */ +} dac_trigger_type; + +/** + * @brief dac wave type + */ +typedef enum +{ + DAC_WAVE_GENERATE_NONE = 0x00, /*!< dac wave generation disabled */ + DAC_WAVE_GENERATE_NOISE = 0x01, /*!< dac noise wave generation enabled */ + DAC_WAVE_GENERATE_TRIANGLE = 0x02 /*!< dac triangle wave generation enabled */ +} dac_wave_type; + +/** + * @brief dac mask amplitude type + */ +typedef enum +{ + DAC_LSFR_BIT0_AMPLITUDE_1 = 0x00, /*!< unmask bit0/ triangle amplitude equal to 1 */ + DAC_LSFR_BIT10_AMPLITUDE_3 = 0x01, /*!< unmask bit[1:0]/ triangle amplitude equal to 3 */ + DAC_LSFR_BIT20_AMPLITUDE_7 = 0x02, /*!< unmask bit[2:0]/ triangle amplitude equal to 7 */ + DAC_LSFR_BIT30_AMPLITUDE_15 = 0x03, /*!< unmask bit[3:0]/ triangle amplitude equal to 15 */ + DAC_LSFR_BIT40_AMPLITUDE_31 = 0x04, /*!< unmask bit[4:0]/ triangle amplitude equal to 31 */ + DAC_LSFR_BIT50_AMPLITUDE_63 = 0x05, /*!< unmask bit[5:0]/ triangle amplitude equal to 63 */ + DAC_LSFR_BIT60_AMPLITUDE_127 = 0x06, /*!< unmask bit[6:0]/ triangle amplitude equal to 127 */ + DAC_LSFR_BIT70_AMPLITUDE_255 = 0x07, /*!< unmask bit[7:0]/ triangle amplitude equal to 255 */ + DAC_LSFR_BIT80_AMPLITUDE_511 = 0x08, /*!< unmask bit[8:0]/ triangle amplitude equal to 511 */ + DAC_LSFR_BIT90_AMPLITUDE_1023 = 0x09, /*!< unmask bit[9:0]/ triangle amplitude equal to 1023 */ + DAC_LSFR_BITA0_AMPLITUDE_2047 = 0x0A, /*!< unmask bit[10:0]/ triangle amplitude equal to 2047 */ + DAC_LSFR_BITB0_AMPLITUDE_4095 = 0x0B /*!< unmask bit[11:0]/ triangle amplitude equal to 4095 */ +} dac_mask_amplitude_type; + +/** + * @brief dac1 aligned data type + */ +typedef enum +{ + DAC1_12BIT_RIGHT = 0x40007408, /*!< dac1 12-bit data right-aligned */ + DAC1_12BIT_LEFT = 0x4000740C, /*!< dac1 12-bit data left-aligned */ + DAC1_8BIT_RIGHT = 0x40007410 /*!< dac1 8-bit data right-aligned */ +} dac1_aligned_data_type; + +/** + * @brief dac2 aligned data type + */ +typedef enum +{ + DAC2_12BIT_RIGHT = 0x40007414, /*!< dac2 12-bit data right-aligned */ + DAC2_12BIT_LEFT = 0x40007418, /*!< dac2 12-bit data left-aligned */ + DAC2_8BIT_RIGHT = 0x4000741C /*!< dac2 8-bit data right-aligned */ +} dac2_aligned_data_type; + +/** + * @brief dac dual data type + */ +typedef enum +{ + DAC_DUAL_12BIT_RIGHT = 0x40007420, /*!psr = (uint32_t)(0x150 | wtcyc)) + +/** @defgroup FLASH_exported_types + * @{ + */ + +/** + * @brief flash status type + */ +typedef enum +{ + FLASH_OPERATE_BUSY = 0x00, /*!< flash status is operate busy */ + FLASH_PROGRAM_ERROR = 0x01, /*!< flash status is program error */ + FLASH_EPP_ERROR = 0x02, /*!< flash status is epp error */ + FLASH_OPERATE_DONE = 0x03, /*!< flash status is operate done */ + FLASH_OPERATE_TIMEOUT = 0x04 /*!< flash status is operate timeout */ +} flash_status_type; + +/** + * @brief flash wait cycle type + */ +typedef enum +{ + FLASH_WAIT_CYCLE_0 = 0x00, /*!< sysclk 1~32mhz */ + FLASH_WAIT_CYCLE_1 = 0x01, /*!< sysclk 33~64mhz */ + FLASH_WAIT_CYCLE_2 = 0x02, /*!< sysclk 65~96mhz */ + FLASH_WAIT_CYCLE_3 = 0x03, /*!< sysclk 97~128mhz */ + FLASH_WAIT_CYCLE_4 = 0x04 /*!< sysclk 129~150mhz */ +} flash_wait_cycle_type; + +/** + * @brief type define flash register all + */ +typedef struct +{ + /** + * @brief flash psr register, offset:0x00 + */ + union + { + __IO uint32_t psr; + struct + { + __IO uint32_t wtcyc : 3; /* [2:0] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t pft_en : 1; /* [4] */ + __IO uint32_t pft_enf : 1; /* [5] */ + __IO uint32_t pft_en2 : 1; /* [6] */ + __IO uint32_t pft_enf2 : 1; /* [7] */ + __IO uint32_t pft_lat_dis : 1; /* [8] */ + __IO uint32_t reserved2 : 23;/* [31:9] */ + } psr_bit; + }; + + /** + * @brief flash unlock register, offset:0x04 + */ + union + { + __IO uint32_t unlock; + struct + { + __IO uint32_t ukval : 32;/* [31:0] */ + } unlock_bit; + }; + + /** + * @brief flash usd unlock register, offset:0x08 + */ + union + { + __IO uint32_t usd_unlock; + struct + { + __IO uint32_t usd_ukval : 32;/* [31:0] */ + } usd_unlock_bit; + }; + + /** + * @brief flash sts register, offset:0x0C + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t obf : 1; /* [0] */ + __IO uint32_t reserved1 : 1; /* [1] */ + __IO uint32_t prgmerr : 1; /* [2] */ + __IO uint32_t reserved2 : 1; /* [3] */ + __IO uint32_t epperr : 1; /* [4] */ + __IO uint32_t odf : 1; /* [5] */ + __IO uint32_t reserved3 : 26;/* [31:6] */ + } sts_bit; + }; + + /** + * @brief flash ctrl register, offset:0x10 + */ + union + { + __IO uint32_t ctrl; + struct + { + __IO uint32_t fprgm : 1; /* [0] */ + __IO uint32_t secers : 1; /* [1] */ + __IO uint32_t bankers : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t usdprgm : 1; /* [4] */ + __IO uint32_t usders : 1; /* [5] */ + __IO uint32_t erstr : 1; /* [6] */ + __IO uint32_t oplk : 1; /* [7] */ + __IO uint32_t reserved2 : 1; /* [8] */ + __IO uint32_t usdulks : 1; /* [9] */ + __IO uint32_t errie : 1; /* [10] */ + __IO uint32_t reserved3 : 1; /* [11] */ + __IO uint32_t odfie : 1; /* [12] */ + __IO uint32_t reserved4 : 19;/* [31:13] */ + } ctrl_bit; + }; + + /** + * @brief flash addr register, offset:0x14 + */ + union + { + __IO uint32_t addr; + struct + { + __IO uint32_t fa : 32;/* [31:0] */ + } addr_bit; + }; + + /** + * @brief flash reserved1 register, offset:0x18 + */ + __IO uint32_t reserved1; + + /** + * @brief flash usd register, offset:0x1C + */ + union + { + __IO uint32_t usd; + struct + { + __IO uint32_t usderr : 1; /* [0] */ + __IO uint32_t fap : 1; /* [1] */ + __IO uint32_t wdt_ato_en : 1; /* [2] */ + __IO uint32_t depslp_rst : 1; /* [3] */ + __IO uint32_t stdby_rst : 1; /* [4] */ + __IO uint32_t reserved1 : 1; /* [5] */ + __IO uint32_t boot1 : 1; /* [6] */ + __IO uint32_t depslp_wdt : 1; /* [7] */ + __IO uint32_t stdby_wdt : 1; /* [8] */ + __IO uint32_t reserved2 : 1; /* [9] */ + __IO uint32_t user_d0 : 8; /* [17:10] */ + __IO uint32_t user_d1 : 8; /* [25:18] */ + __IO uint32_t fap_hl : 1; /* [26] */ + __IO uint32_t reserved3 : 5; /* [31:27] */ + } usd_bit; + }; + + /** + * @brief flash epps register, offset:0x20 + */ + union + { + __IO uint32_t epps; + struct + { + __IO uint32_t epps : 32;/* [31:0] */ + } epps_bit; + }; + + /** + * @brief flash reserved2 register, offset:0x70~0x24 + */ + __IO uint32_t reserved2[20]; + + /** + * @brief flash slib_sts0 register, offset:0x74 + */ + union + { + __IO uint32_t slib_sts0; + struct + { + __IO uint32_t btm_ap_enf : 1; /* [0] */ + __IO uint32_t reserved1 : 1; /* [1] */ + __IO uint32_t em_slib_enf : 1; /* [2] */ + __IO uint32_t slib_enf : 1; /* [3] */ + __IO uint32_t reserved2 : 12;/* [15:4] */ + __IO uint32_t em_slib_inst_ss : 8; /* [23:16] */ + __IO uint32_t reserved3 : 8; /* [31:24] */ + } slib_sts0_bit; + }; + + /** + * @brief flash slib_sts1 register, offset:0x78 + */ + union + { + __IO uint32_t slib_sts1; + struct + { + __IO uint32_t slib_ss : 11;/* [10:0] */ + __IO uint32_t slib_inst_ss : 11;/* [21:11] */ + __IO uint32_t slib_es : 10;/* [31:22] */ + } slib_sts1_bit; + }; + + /** + * @brief flash slib_pwd_clr register, offset:0x7C + */ + union + { + __IO uint32_t slib_pwd_clr; + struct + { + __IO uint32_t slib_pclr_val : 32;/* [31:0] */ + } slib_pwd_clr_bit; + }; + + /** + * @brief flash slib_misc_sts register, offset:0x80 + */ + union + { + __IO uint32_t slib_misc_sts; + struct + { + __IO uint32_t slib_pwd_err : 1; /* [0] */ + __IO uint32_t slib_pwd_ok : 1; /* [1] */ + __IO uint32_t slib_ulkf : 1; /* [2] */ + __IO uint32_t reserved1 : 29;/* [31:3] */ + } slib_misc_sts_bit; + }; + + /** + * @brief flash crc_addr register, offset:0x84 + */ + union + { + __IO uint32_t crc_addr; + struct + { + __IO uint32_t crc_addr : 32;/* [31:0] */ + } crc_addr_bit; + }; + + /** + * @brief flash crc_ctrl register, offset:0x88 + */ + union + { + __IO uint32_t crc_ctrl; + struct + { + __IO uint32_t crc_sn : 16;/* [15:0] */ + __IO uint32_t crc_strt : 1; /* [16] */ + __IO uint32_t reserved1 : 15;/* [31:17] */ + } crc_ctrl_bit; + }; + + /** + * @brief flash crc_chkr register, offset:0x8C + */ + union + { + __IO uint32_t crc_chkr; + struct + { + __IO uint32_t crc_chkr : 32;/* [31:0] */ + } crc_chkr_bit; + }; + + /** + * @brief flash reserved3 register, offset:0x15C~0x90 + */ + __IO uint32_t reserved3[52]; + + /** + * @brief flash slib_set_pwd register, offset:0x160 + */ + union + { + __IO uint32_t slib_set_pwd; + struct + { + __IO uint32_t slib_pset_val : 32;/* [31:0] */ + } slib_set_pwd_bit; + }; + + /** + * @brief flash slib_set_range register, offset:0x164 + */ + union + { + __IO uint32_t slib_set_range; + struct + { + __IO uint32_t slib_ss_set : 11;/* [10:0] */ + __IO uint32_t slib_iss_set : 11;/* [21:11] */ + __IO uint32_t slib_es_set : 10;/* [31:22] */ + } slib_set_range_bit; + }; + + /** + * @brief flash em_slib_set register, offset:0x168 + */ + union + { + __IO uint32_t em_slib_set; + struct + { + __IO uint32_t em_slib_set : 16;/* [15:0] */ + __IO uint32_t em_slib_iss_set : 8; /* [23:16] */ + __IO uint32_t reserved1 : 8; /* [31:24] */ + } em_slib_set_bit; + }; + + /** + * @brief flash btm_mode_set register, offset:0x16C + */ + union + { + __IO uint32_t btm_mode_set; + struct + { + __IO uint32_t btm_mode_set : 8; /* [7:0] */ + __IO uint32_t reserved1 : 24;/* [31:8] */ + } btm_mode_set_bit; + }; + + /** + * @brief flash slib_unlock register, offset:0x170 + */ + union + { + __IO uint32_t slib_unlock; + struct + { + __IO uint32_t slib_ukval : 32;/* [31:0] */ + } slib_unlock_bit; + }; + +} flash_type; + +/** + * @brief user system data + */ +typedef struct +{ + __IO uint16_t fap; + __IO uint16_t ssb; + __IO uint16_t data0; + __IO uint16_t data1; + __IO uint16_t epp0; + __IO uint16_t epp1; + __IO uint16_t epp2; + __IO uint16_t epp3; +} usd_type; + +/** + * @} + */ + +#define FLASH ((flash_type *) FLASH_REG_BASE) +#define USD ((usd_type *) USD_BASE) + +/** @defgroup FLASH_exported_functions + * @{ + */ + +flag_status flash_flag_get(uint32_t flash_flag); +void flash_flag_clear(uint32_t flash_flag); +flash_status_type flash_operation_status_get(void); +flash_status_type flash_operation_wait_for(uint32_t time_out); +void flash_unlock(void); +void flash_lock(void); +flash_status_type flash_sector_erase(uint32_t sector_address); +flash_status_type flash_internal_all_erase(void); +flash_status_type flash_user_system_data_erase(void); +flash_status_type flash_word_program(uint32_t address, uint32_t data); +flash_status_type flash_halfword_program(uint32_t address, uint16_t data); +flash_status_type flash_byte_program(uint32_t address, uint8_t data); +flash_status_type flash_user_system_data_program(uint32_t address, uint8_t data); +flash_status_type flash_epp_set(uint32_t *sector_bits); +void flash_epp_status_get(uint32_t *sector_bits); +flash_status_type flash_fap_enable(confirm_state new_state); +flag_status flash_fap_status_get(void); +flash_status_type flash_fap_high_level_enable(void); +flag_status flash_fap_high_level_status_get(void); +flash_status_type flash_ssb_set(uint8_t usd_ssb); +uint8_t flash_ssb_status_get(void); +void flash_interrupt_enable(uint32_t flash_int, confirm_state new_state); +flash_status_type flash_slib_enable(uint32_t pwd, uint16_t start_sector, uint16_t inst_start_sector, uint16_t end_sector); +error_status flash_slib_disable(uint32_t pwd); +flag_status flash_slib_state_get(void); +uint16_t flash_slib_start_sector_get(void); +uint16_t flash_slib_inststart_sector_get(void); +uint16_t flash_slib_end_sector_get(void); +uint32_t flash_crc_calibrate(uint32_t start_addr, uint32_t sector_cnt); +void flash_boot_memory_extension_mode_enable(void); +flash_status_type flash_extension_memory_slib_enable(uint32_t pwd, uint16_t inst_start_sector); +flag_status flash_extension_memory_slib_state_get(void); +uint16_t flash_em_slib_inststart_sector_get(void); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_gpio.h b/Firmware/drivers/inc/at32a423_gpio.h new file mode 100644 index 0000000..fcdbf67 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_gpio.h @@ -0,0 +1,591 @@ +/** + ************************************************************************** + * @file at32a423_gpio.h + * @brief at32a423 gpio header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_GPIO_H +#define __AT32A423_GPIO_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup GPIO + * @{ + */ + +/** @defgroup GPIO_pins_number_definition + * @{ + */ + +#define GPIO_PINS_0 0x0001 /*!< gpio pins number 0 */ +#define GPIO_PINS_1 0x0002 /*!< gpio pins number 1 */ +#define GPIO_PINS_2 0x0004 /*!< gpio pins number 2 */ +#define GPIO_PINS_3 0x0008 /*!< gpio pins number 3 */ +#define GPIO_PINS_4 0x0010 /*!< gpio pins number 4 */ +#define GPIO_PINS_5 0x0020 /*!< gpio pins number 5 */ +#define GPIO_PINS_6 0x0040 /*!< gpio pins number 6 */ +#define GPIO_PINS_7 0x0080 /*!< gpio pins number 7 */ +#define GPIO_PINS_8 0x0100 /*!< gpio pins number 8 */ +#define GPIO_PINS_9 0x0200 /*!< gpio pins number 9 */ +#define GPIO_PINS_10 0x0400 /*!< gpio pins number 10 */ +#define GPIO_PINS_11 0x0800 /*!< gpio pins number 11 */ +#define GPIO_PINS_12 0x1000 /*!< gpio pins number 12 */ +#define GPIO_PINS_13 0x2000 /*!< gpio pins number 13 */ +#define GPIO_PINS_14 0x4000 /*!< gpio pins number 14 */ +#define GPIO_PINS_15 0x8000 /*!< gpio pins number 15 */ +#define GPIO_PINS_ALL 0xFFFF /*!< gpio all pins */ + +/** + * @} + */ + +/** @defgroup GPIO_exported_types + * @{ + */ + +/** + * @brief gpio mode select + */ +typedef enum +{ + GPIO_MODE_INPUT = 0x00, /*!< gpio input mode */ + GPIO_MODE_OUTPUT = 0x01, /*!< gpio output mode */ + GPIO_MODE_MUX = 0x02, /*!< gpio mux function mode */ + GPIO_MODE_ANALOG = 0x03 /*!< gpio analog in/out mode */ +} gpio_mode_type; + +/** + * @brief gpio output drive strength select + */ +typedef enum +{ + GPIO_DRIVE_STRENGTH_STRONGER = 0x01, /*!< stronger sourcing/sinking strength */ + GPIO_DRIVE_STRENGTH_MODERATE = 0x02 /*!< moderate sourcing/sinking strength */ +} gpio_drive_type; + +/** + * @brief gpio output type + */ +typedef enum +{ + GPIO_OUTPUT_PUSH_PULL = 0x00, /*!< output push-pull */ + GPIO_OUTPUT_OPEN_DRAIN = 0x01 /*!< output open-drain */ +} gpio_output_type; + +/** + * @brief gpio pull type + */ +typedef enum +{ + GPIO_PULL_NONE = 0x00, /*!< floating for input, no pull for output */ + GPIO_PULL_UP = 0x01, /*!< pull-up */ + GPIO_PULL_DOWN = 0x02 /*!< pull-down */ +} gpio_pull_type; + +/** + * @brief gpio init type + */ +typedef struct +{ + uint32_t gpio_pins; /*!< pins number selection */ + gpio_output_type gpio_out_type; /*!< output type selection */ + gpio_pull_type gpio_pull; /*!< pull type selection */ + gpio_mode_type gpio_mode; /*!< mode selection */ + gpio_drive_type gpio_drive_strength; /*!< drive strength selection */ +} gpio_init_type; + +/** + * @brief gpio pins source type + */ +typedef enum +{ + GPIO_PINS_SOURCE0 = 0x00, /*!< gpio pins source number 0 */ + GPIO_PINS_SOURCE1 = 0x01, /*!< gpio pins source number 1 */ + GPIO_PINS_SOURCE2 = 0x02, /*!< gpio pins source number 2 */ + GPIO_PINS_SOURCE3 = 0x03, /*!< gpio pins source number 3 */ + GPIO_PINS_SOURCE4 = 0x04, /*!< gpio pins source number 4 */ + GPIO_PINS_SOURCE5 = 0x05, /*!< gpio pins source number 5 */ + GPIO_PINS_SOURCE6 = 0x06, /*!< gpio pins source number 6 */ + GPIO_PINS_SOURCE7 = 0x07, /*!< gpio pins source number 7 */ + GPIO_PINS_SOURCE8 = 0x08, /*!< gpio pins source number 8 */ + GPIO_PINS_SOURCE9 = 0x09, /*!< gpio pins source number 9 */ + GPIO_PINS_SOURCE10 = 0x0A, /*!< gpio pins source number 10 */ + GPIO_PINS_SOURCE11 = 0x0B, /*!< gpio pins source number 11 */ + GPIO_PINS_SOURCE12 = 0x0C, /*!< gpio pins source number 12 */ + GPIO_PINS_SOURCE13 = 0x0D, /*!< gpio pins source number 13 */ + GPIO_PINS_SOURCE14 = 0x0E, /*!< gpio pins source number 14 */ + GPIO_PINS_SOURCE15 = 0x0F /*!< gpio pins source number 15 */ +} gpio_pins_source_type; + +/** + * @brief gpio muxing function selection type + */ +typedef enum +{ + GPIO_MUX_0 = 0x00, /*!< gpio muxing function selection 0 */ + GPIO_MUX_1 = 0x01, /*!< gpio muxing function selection 1 */ + GPIO_MUX_2 = 0x02, /*!< gpio muxing function selection 2 */ + GPIO_MUX_3 = 0x03, /*!< gpio muxing function selection 3 */ + GPIO_MUX_4 = 0x04, /*!< gpio muxing function selection 4 */ + GPIO_MUX_5 = 0x05, /*!< gpio muxing function selection 5 */ + GPIO_MUX_6 = 0x06, /*!< gpio muxing function selection 6 */ + GPIO_MUX_7 = 0x07, /*!< gpio muxing function selection 7 */ + GPIO_MUX_8 = 0x08, /*!< gpio muxing function selection 8 */ + GPIO_MUX_9 = 0x09, /*!< gpio muxing function selection 9 */ + GPIO_MUX_10 = 0x0A, /*!< gpio muxing function selection 10 */ + GPIO_MUX_11 = 0x0B, /*!< gpio muxing function selection 11 */ + GPIO_MUX_12 = 0x0C, /*!< gpio muxing function selection 12 */ + GPIO_MUX_13 = 0x0D, /*!< gpio muxing function selection 13 */ + GPIO_MUX_14 = 0x0E, /*!< gpio muxing function selection 14 */ + GPIO_MUX_15 = 0x0F /*!< gpio muxing function selection 15 */ +} gpio_mux_sel_type; + +/** + * @brief type define gpio register all + */ +typedef struct +{ + /** + * @brief gpio mode register, offset:0x00 + */ + union + { + __IO uint32_t cfgr; + struct + { + __IO uint32_t iomc0 : 2; /* [1:0] */ + __IO uint32_t iomc1 : 2; /* [3:2] */ + __IO uint32_t iomc2 : 2; /* [5:4] */ + __IO uint32_t iomc3 : 2; /* [7:6] */ + __IO uint32_t iomc4 : 2; /* [9:8] */ + __IO uint32_t iomc5 : 2; /* [11:10] */ + __IO uint32_t iomc6 : 2; /* [13:12] */ + __IO uint32_t iomc7 : 2; /* [15:14] */ + __IO uint32_t iomc8 : 2; /* [17:16] */ + __IO uint32_t iomc9 : 2; /* [19:18] */ + __IO uint32_t iomc10 : 2; /* [21:20] */ + __IO uint32_t iomc11 : 2; /* [23:22] */ + __IO uint32_t iomc12 : 2; /* [25:24] */ + __IO uint32_t iomc13 : 2; /* [27:26] */ + __IO uint32_t iomc14 : 2; /* [29:28] */ + __IO uint32_t iomc15 : 2; /* [31:30] */ + } cfgr_bit; + }; + + /** + * @brief gpio output type register, offset:0x04 + */ + union + { + __IO uint32_t omode; + struct + { + __IO uint32_t om0 : 1; /* [0] */ + __IO uint32_t om1 : 1; /* [1] */ + __IO uint32_t om2 : 1; /* [2] */ + __IO uint32_t om3 : 1; /* [3] */ + __IO uint32_t om4 : 1; /* [4] */ + __IO uint32_t om5 : 1; /* [5] */ + __IO uint32_t om6 : 1; /* [6] */ + __IO uint32_t om7 : 1; /* [7] */ + __IO uint32_t om8 : 1; /* [8] */ + __IO uint32_t om9 : 1; /* [9] */ + __IO uint32_t om10 : 1; /* [10] */ + __IO uint32_t om11 : 1; /* [11] */ + __IO uint32_t om12 : 1; /* [12] */ + __IO uint32_t om13 : 1; /* [13] */ + __IO uint32_t om14 : 1; /* [14] */ + __IO uint32_t om15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } omode_bit; + }; + + /** + * @brief gpio output driver register, offset:0x08 + */ + union + { + __IO uint32_t odrvr; + struct + { + __IO uint32_t odrv0 : 2; /* [1:0] */ + __IO uint32_t odrv1 : 2; /* [3:2] */ + __IO uint32_t odrv2 : 2; /* [5:4] */ + __IO uint32_t odrv3 : 2; /* [7:6] */ + __IO uint32_t odrv4 : 2; /* [9:8] */ + __IO uint32_t odrv5 : 2; /* [11:10] */ + __IO uint32_t odrv6 : 2; /* [13:12] */ + __IO uint32_t odrv7 : 2; /* [15:14] */ + __IO uint32_t odrv8 : 2; /* [17:16] */ + __IO uint32_t odrv9 : 2; /* [19:18] */ + __IO uint32_t odrv10 : 2; /* [21:20] */ + __IO uint32_t odrv11 : 2; /* [23:22] */ + __IO uint32_t odrv12 : 2; /* [25:24] */ + __IO uint32_t odrv13 : 2; /* [27:26] */ + __IO uint32_t odrv14 : 2; /* [29:28] */ + __IO uint32_t odrv15 : 2; /* [31:30] */ + } odrvr_bit; + }; + + /** + * @brief gpio pull up/down register, offset:0x0C + */ + union + { + __IO uint32_t pull; + struct + { + __IO uint32_t pull0 : 2; /* [1:0] */ + __IO uint32_t pull1 : 2; /* [3:2] */ + __IO uint32_t pull2 : 2; /* [5:4] */ + __IO uint32_t pull3 : 2; /* [7:6] */ + __IO uint32_t pull4 : 2; /* [9:8] */ + __IO uint32_t pull5 : 2; /* [11:10] */ + __IO uint32_t pull6 : 2; /* [13:12] */ + __IO uint32_t pull7 : 2; /* [15:14] */ + __IO uint32_t pull8 : 2; /* [17:16] */ + __IO uint32_t pull9 : 2; /* [19:18] */ + __IO uint32_t pull10 : 2; /* [21:20] */ + __IO uint32_t pull11 : 2; /* [23:22] */ + __IO uint32_t pull12 : 2; /* [25:24] */ + __IO uint32_t pull13 : 2; /* [27:26] */ + __IO uint32_t pull14 : 2; /* [29:28] */ + __IO uint32_t pull15 : 2; /* [31:30] */ + } pull_bit; + }; + + /** + * @brief gpio input data register, offset:0x10 + */ + union + { + __IO uint32_t idt; + struct + { + __IO uint32_t idt0 : 1; /* [0] */ + __IO uint32_t idt1 : 1; /* [1] */ + __IO uint32_t idt2 : 1; /* [2] */ + __IO uint32_t idt3 : 1; /* [3] */ + __IO uint32_t idt4 : 1; /* [4] */ + __IO uint32_t idt5 : 1; /* [5] */ + __IO uint32_t idt6 : 1; /* [6] */ + __IO uint32_t idt7 : 1; /* [7] */ + __IO uint32_t idt8 : 1; /* [8] */ + __IO uint32_t idt9 : 1; /* [9] */ + __IO uint32_t idt10 : 1; /* [10] */ + __IO uint32_t idt11 : 1; /* [11] */ + __IO uint32_t idt12 : 1; /* [12] */ + __IO uint32_t idt13 : 1; /* [13] */ + __IO uint32_t idt14 : 1; /* [14] */ + __IO uint32_t idt15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } idt_bit; + }; + + /** + * @brief gpio output data register, offset:0x14 + */ + union + { + __IO uint32_t odt; + struct + { + __IO uint32_t odt0 : 1; /* [0] */ + __IO uint32_t odt1 : 1; /* [1] */ + __IO uint32_t odt2 : 1; /* [2] */ + __IO uint32_t odt3 : 1; /* [3] */ + __IO uint32_t odt4 : 1; /* [4] */ + __IO uint32_t odt5 : 1; /* [5] */ + __IO uint32_t odt6 : 1; /* [6] */ + __IO uint32_t odt7 : 1; /* [7] */ + __IO uint32_t odt8 : 1; /* [8] */ + __IO uint32_t odt9 : 1; /* [9] */ + __IO uint32_t odt10 : 1; /* [10] */ + __IO uint32_t odt11 : 1; /* [11] */ + __IO uint32_t odt12 : 1; /* [12] */ + __IO uint32_t odt13 : 1; /* [13] */ + __IO uint32_t odt14 : 1; /* [14] */ + __IO uint32_t odt15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } odt_bit; + }; + + /** + * @brief gpio scr register, offset:0x18 + */ + union + { + __IO uint32_t scr; + struct + { + __IO uint32_t iosb0 : 1; /* [0] */ + __IO uint32_t iosb1 : 1; /* [1] */ + __IO uint32_t iosb2 : 1; /* [2] */ + __IO uint32_t iosb3 : 1; /* [3] */ + __IO uint32_t iosb4 : 1; /* [4] */ + __IO uint32_t iosb5 : 1; /* [5] */ + __IO uint32_t iosb6 : 1; /* [6] */ + __IO uint32_t iosb7 : 1; /* [7] */ + __IO uint32_t iosb8 : 1; /* [8] */ + __IO uint32_t iosb9 : 1; /* [9] */ + __IO uint32_t iosb10 : 1; /* [10] */ + __IO uint32_t iosb11 : 1; /* [11] */ + __IO uint32_t iosb12 : 1; /* [12] */ + __IO uint32_t iosb13 : 1; /* [13] */ + __IO uint32_t iosb14 : 1; /* [14] */ + __IO uint32_t iosb15 : 1; /* [15] */ + __IO uint32_t iocb0 : 1; /* [16] */ + __IO uint32_t iocb1 : 1; /* [17] */ + __IO uint32_t iocb2 : 1; /* [18] */ + __IO uint32_t iocb3 : 1; /* [19] */ + __IO uint32_t iocb4 : 1; /* [20] */ + __IO uint32_t iocb5 : 1; /* [21] */ + __IO uint32_t iocb6 : 1; /* [22] */ + __IO uint32_t iocb7 : 1; /* [23] */ + __IO uint32_t iocb8 : 1; /* [24] */ + __IO uint32_t iocb9 : 1; /* [25] */ + __IO uint32_t iocb10 : 1; /* [26] */ + __IO uint32_t iocb11 : 1; /* [27] */ + __IO uint32_t iocb12 : 1; /* [28] */ + __IO uint32_t iocb13 : 1; /* [29] */ + __IO uint32_t iocb14 : 1; /* [30] */ + __IO uint32_t iocb15 : 1; /* [31] */ + } scr_bit; + }; + + /** + * @brief gpio wpen register, offset:0x1C + */ + union + { + __IO uint32_t wpr; + struct + { + __IO uint32_t wpen0 : 1; /* [0] */ + __IO uint32_t wpen1 : 1; /* [1] */ + __IO uint32_t wpen2 : 1; /* [2] */ + __IO uint32_t wpen3 : 1; /* [3] */ + __IO uint32_t wpen4 : 1; /* [4] */ + __IO uint32_t wpen5 : 1; /* [5] */ + __IO uint32_t wpen6 : 1; /* [6] */ + __IO uint32_t wpen7 : 1; /* [7] */ + __IO uint32_t wpen8 : 1; /* [8] */ + __IO uint32_t wpen9 : 1; /* [9] */ + __IO uint32_t wpen10 : 1; /* [10] */ + __IO uint32_t wpen11 : 1; /* [11] */ + __IO uint32_t wpen12 : 1; /* [12] */ + __IO uint32_t wpen13 : 1; /* [13] */ + __IO uint32_t wpen14 : 1; /* [14] */ + __IO uint32_t wpen15 : 1; /* [15] */ + __IO uint32_t wpseq : 1; /* [16] */ + __IO uint32_t reserved1 : 15;/* [31:17] */ + } wpr_bit; + }; + + /** + * @brief gpio muxl register, offset:0x20 + */ + union + { + __IO uint32_t muxl; + struct + { + __IO uint32_t muxl0 : 4; /* [3:0] */ + __IO uint32_t muxl1 : 4; /* [7:4] */ + __IO uint32_t muxl2 : 4; /* [11:8] */ + __IO uint32_t muxl3 : 4; /* [15:12] */ + __IO uint32_t muxl4 : 4; /* [19:16] */ + __IO uint32_t muxl5 : 4; /* [23:20] */ + __IO uint32_t muxl6 : 4; /* [27:24] */ + __IO uint32_t muxl7 : 4; /* [31:28] */ + } muxl_bit; + }; + + /** + * @brief gpio muxh register, offset:0x24 + */ + union + { + __IO uint32_t muxh; + struct + { + __IO uint32_t muxh8 : 4; /* [3:0] */ + __IO uint32_t muxh9 : 4; /* [7:4] */ + __IO uint32_t muxh10 : 4; /* [11:8] */ + __IO uint32_t muxh11 : 4; /* [15:12] */ + __IO uint32_t muxh12 : 4; /* [19:16] */ + __IO uint32_t muxh13 : 4; /* [23:20] */ + __IO uint32_t muxh14 : 4; /* [27:24] */ + __IO uint32_t muxh15 : 4; /* [31:28] */ + } muxh_bit; + }; + + /** + * @brief gpio clr register, offset:0x28 + */ + union + { + __IO uint32_t clr; + struct + { + __IO uint32_t iocb0 : 1; /* [0] */ + __IO uint32_t iocb1 : 1; /* [1] */ + __IO uint32_t iocb2 : 1; /* [2] */ + __IO uint32_t iocb3 : 1; /* [3] */ + __IO uint32_t iocb4 : 1; /* [4] */ + __IO uint32_t iocb5 : 1; /* [5] */ + __IO uint32_t iocb6 : 1; /* [6] */ + __IO uint32_t iocb7 : 1; /* [7] */ + __IO uint32_t iocb8 : 1; /* [8] */ + __IO uint32_t iocb9 : 1; /* [9] */ + __IO uint32_t iocb10 : 1; /* [10] */ + __IO uint32_t iocb11 : 1; /* [11] */ + __IO uint32_t iocb12 : 1; /* [12] */ + __IO uint32_t iocb13 : 1; /* [13] */ + __IO uint32_t iocb14 : 1; /* [14] */ + __IO uint32_t iocb15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } clr_bit; + }; + + /** + * @brief gpio togr register, offset:0x2C + */ + union + { + __IO uint32_t togr; + struct + { + __IO uint32_t iotb0 : 1; /* [0] */ + __IO uint32_t iotb1 : 1; /* [1] */ + __IO uint32_t iotb2 : 1; /* [2] */ + __IO uint32_t iotb3 : 1; /* [3] */ + __IO uint32_t iotb4 : 1; /* [4] */ + __IO uint32_t iotb5 : 1; /* [5] */ + __IO uint32_t iotb6 : 1; /* [6] */ + __IO uint32_t iotb7 : 1; /* [7] */ + __IO uint32_t iotb8 : 1; /* [8] */ + __IO uint32_t iotb9 : 1; /* [9] */ + __IO uint32_t iotb10 : 1; /* [10] */ + __IO uint32_t iotb11 : 1; /* [11] */ + __IO uint32_t iotb12 : 1; /* [12] */ + __IO uint32_t iotb13 : 1; /* [13] */ + __IO uint32_t iotb14 : 1; /* [14] */ + __IO uint32_t iotb15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } togr_bit; + }; + + + /** + * @brief gpio reserved1 register, offset:0x30~0x38 + */ + __IO uint32_t reserved1[3]; + + /** + * @brief gpio hdrv register, offset:0x3C + */ + union + { + __IO uint32_t hdrv; + struct + { + __IO uint32_t hdrv0 : 1; /* [0] */ + __IO uint32_t hdrv1 : 1; /* [1] */ + __IO uint32_t hdrv2 : 1; /* [2] */ + __IO uint32_t hdrv3 : 1; /* [3] */ + __IO uint32_t hdrv4 : 1; /* [4] */ + __IO uint32_t hdrv5 : 1; /* [5] */ + __IO uint32_t hdrv6 : 1; /* [6] */ + __IO uint32_t hdrv7 : 1; /* [7] */ + __IO uint32_t hdrv8 : 1; /* [8] */ + __IO uint32_t hdrv9 : 1; /* [9] */ + __IO uint32_t hdrv10 : 1; /* [10] */ + __IO uint32_t hdrv11 : 1; /* [11] */ + __IO uint32_t hdrv12 : 1; /* [12] */ + __IO uint32_t hdrv13 : 1; /* [13] */ + __IO uint32_t hdrv14 : 1; /* [14] */ + __IO uint32_t hdrv15 : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } hdrv_bit; + }; + +} gpio_type; + +/** + * @} + */ + +#define GPIOA ((gpio_type *) GPIOA_BASE) +#define GPIOB ((gpio_type *) GPIOB_BASE) +#define GPIOC ((gpio_type *) GPIOC_BASE) +#define GPIOD ((gpio_type *) GPIOD_BASE) +#define GPIOE ((gpio_type *) GPIOE_BASE) +#define GPIOF ((gpio_type *) GPIOF_BASE) + +/** @defgroup GPIO_exported_functions + * @{ + */ + +void gpio_reset(gpio_type *gpio_x); +void gpio_init(gpio_type *gpio_x, gpio_init_type *gpio_init_struct); +void gpio_default_para_init(gpio_init_type *gpio_init_struct); +flag_status gpio_input_data_bit_read(gpio_type *gpio_x, uint16_t pins); +uint16_t gpio_input_data_read(gpio_type *gpio_x); +flag_status gpio_output_data_bit_read(gpio_type *gpio_x, uint16_t pins); +uint16_t gpio_output_data_read(gpio_type *gpio_x); +void gpio_bits_set(gpio_type *gpio_x, uint16_t pins); +void gpio_bits_reset(gpio_type *gpio_x, uint16_t pins); +void gpio_bits_toggle(gpio_type *gpio_x, uint16_t pins); +void gpio_bits_write(gpio_type *gpio_x, uint16_t pins, confirm_state bit_state); +void gpio_port_write(gpio_type *gpio_x, uint16_t port_value); +void gpio_pin_wp_config(gpio_type *gpio_x, uint16_t pins); +void gpio_pins_huge_driven_config(gpio_type *gpio_x, uint16_t pins, confirm_state new_state); +void gpio_pin_mux_config(gpio_type *gpio_x, gpio_pins_source_type gpio_pin_source, gpio_mux_sel_type gpio_mux); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_i2c.h b/Firmware/drivers/inc/at32a423_i2c.h new file mode 100644 index 0000000..83d29a3 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_i2c.h @@ -0,0 +1,481 @@ +/** + ************************************************************************** + * @file at32a423_i2c.h + * @brief at32a423 i2c header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_I2C_H +#define __AT32A423_I2C_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup I2C + * @{ + */ + +/** + * @brief maximum number of single transfers + */ +#define MAX_TRANSFER_CNT 255 /*!< maximum number of single transfers */ + +/** @defgroup I2C_interrupts_definition + * @brief i2c interrupt + * @{ + */ + +#define I2C_TD_INT ((uint32_t)0x00000002) /*!< i2c transmit data interrupt */ +#define I2C_RD_INT ((uint32_t)0x00000004) /*!< i2c receive data interrupt */ +#define I2C_ADDR_INT ((uint32_t)0x00000008) /*!< i2c address match interrupt */ +#define I2C_ACKFIAL_INT ((uint32_t)0x00000010) /*!< i2c ack fail interrupt */ +#define I2C_STOP_INT ((uint32_t)0x00000020) /*!< i2c stop detect interrupt */ +#define I2C_TDC_INT ((uint32_t)0x00000040) /*!< i2c transmit data complete interrupt */ +#define I2C_ERR_INT ((uint32_t)0x00000080) /*!< i2c bus error interrupt */ + +/** + * @} + */ + +/** @defgroup I2C_flags_definition + * @brief i2c flag + * @{ + */ + +#define I2C_TDBE_FLAG ((uint32_t)0x00000001) /*!< i2c transmit data buffer empty flag */ +#define I2C_TDIS_FLAG ((uint32_t)0x00000002) /*!< i2c send interrupt status */ +#define I2C_RDBF_FLAG ((uint32_t)0x00000004) /*!< i2c receive data buffer full flag */ +#define I2C_ADDRF_FLAG ((uint32_t)0x00000008) /*!< i2c 0~7 bit address match flag */ +#define I2C_ACKFAIL_FLAG ((uint32_t)0x00000010) /*!< i2c acknowledge failure flag */ +#define I2C_STOPF_FLAG ((uint32_t)0x00000020) /*!< i2c stop condition generation complete flag */ +#define I2C_TDC_FLAG ((uint32_t)0x00000040) /*!< i2c transmit data complete flag */ +#define I2C_TCRLD_FLAG ((uint32_t)0x00000080) /*!< i2c transmission is complete, waiting to load data */ +#define I2C_BUSERR_FLAG ((uint32_t)0x00000100) /*!< i2c bus error flag */ +#define I2C_ARLOST_FLAG ((uint32_t)0x00000200) /*!< i2c arbitration lost flag */ +#define I2C_OUF_FLAG ((uint32_t)0x00000400) /*!< i2c overflow or underflow flag */ +#define I2C_PECERR_FLAG ((uint32_t)0x00000800) /*!< i2c pec receive error flag */ +#define I2C_TMOUT_FLAG ((uint32_t)0x00001000) /*!< i2c smbus timeout flag */ +#define I2C_ALERTF_FLAG ((uint32_t)0x00002000) /*!< i2c smbus alert flag */ +#define I2C_BUSYF_FLAG ((uint32_t)0x00008000) /*!< i2c bus busy flag transmission mode */ +#define I2C_SDIR_FLAG ((uint32_t)0x00010000) /*!< i2c slave data transmit direction */ + +/** + * @} + */ + +/** @defgroup I2C_exported_types + * @{ + */ + +/** + * @brief i2c smbus mode set + */ +typedef enum +{ + I2C_SMBUS_MODE_DEVICE = 0x00, /*!< smbus device mode */ + I2C_SMBUS_MODE_HOST = 0x01 /*!< smbus host mode */ +} i2c_smbus_mode_type; + +/** + * @brief i2c address mode + */ +typedef enum +{ + I2C_ADDRESS_MODE_7BIT = 0x00, /*!< 7bit address mode */ + I2C_ADDRESS_MODE_10BIT = 0x01 /*!< 10bit address mode */ +} i2c_address_mode_type; + +/** + * @brief i2c transfer direction + */ +typedef enum +{ + I2C_DIR_TRANSMIT = 0x00, /*!< master request a write transfer */ + I2C_DIR_RECEIVE = 0x01 /*!< master request a read transfer */ +} i2c_transfer_dir_type; + +/** + * @brief i2c dma requests direction + */ +typedef enum +{ + I2C_DMA_REQUEST_TX = 0x00, /*!< dma transmit request */ + I2C_DMA_REQUEST_RX = 0x01 /*!< dma receive request */ +} i2c_dma_request_type; + +/** + * @brief i2c smbus alert pin set + */ +typedef enum +{ + I2C_SMBUS_ALERT_HIGH = 0x00, /*!< smbus alert pin set high */ + I2C_SMBUS_ALERT_LOW = 0x01 /*!< smbus alert pin set low */ +} i2c_smbus_alert_set_type; + +/** + * @brief i2c clock timeout detection mode + */ +typedef enum +{ + I2C_TIMEOUT_DETCET_LOW = 0x00, /*!< detect low level timeout */ + I2C_TIMEOUT_DETCET_HIGH = 0x01 /*!< detect high level timeout */ +} i2c_timeout_detcet_type; + +/** + * @brief i2c own address2 mask + */ +typedef enum +{ + I2C_ADDR2_NOMASK = 0x00, /*!< compare bit [7:1] */ + I2C_ADDR2_MASK01 = 0x01, /*!< only compare bit [7:2] */ + I2C_ADDR2_MASK02 = 0x02, /*!< only compare bit [7:3] */ + I2C_ADDR2_MASK03 = 0x03, /*!< only compare bit [7:4] */ + I2C_ADDR2_MASK04 = 0x04, /*!< only compare bit [7:5] */ + I2C_ADDR2_MASK05 = 0x05, /*!< only compare bit [7:6] */ + I2C_ADDR2_MASK06 = 0x06, /*!< only compare bit [7] */ + I2C_ADDR2_MASK07 = 0x07 /*!< response all addresses other than those reserved for i2c */ +} i2c_addr2_mask_type; + +/** + * @brief i2c reload end mode + */ +typedef enum +{ + I2C_AUTO_STOP_MODE = 0x02000000, /*!< auto generate stop mode */ + I2C_SOFT_STOP_MODE = 0x00000000, /*!< soft generate stop mode */ + I2C_RELOAD_MODE = 0x01000000 /*!< reload mode */ +} i2c_reload_stop_mode_type; + +/** + * @brief i2c start mode + */ +typedef enum +{ + I2C_WITHOUT_START = 0x00000000, /*!< transfer data without start condition */ + I2C_GEN_START_READ = 0x00002400, /*!< read data and generate start */ + I2C_GEN_START_WRITE = 0x00002000 /*!< send data and generate start */ +} i2c_start_mode_type; + +/** + * @brief type define i2c register all + */ +typedef struct +{ + /** + * @brief i2c ctrl1 register, offset:0x00 + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t i2cen : 1; /* [0] */ + __IO uint32_t tdien : 1; /* [1] */ + __IO uint32_t rdien : 1; /* [2] */ + __IO uint32_t addrien : 1; /* [3] */ + __IO uint32_t ackfailien : 1; /* [4] */ + __IO uint32_t stopien : 1; /* [5] */ + __IO uint32_t tdcien : 1; /* [6] */ + __IO uint32_t errien : 1; /* [7] */ + __IO uint32_t dflt : 4; /* [11:8] */ + __IO uint32_t angnfoff : 1; /* [12] */ + __IO uint32_t reserved1 : 1; /* [13] */ + __IO uint32_t dmaten : 1; /* [14] */ + __IO uint32_t dmaren : 1; /* [15] */ + __IO uint32_t sctrl : 1; /* [16] */ + __IO uint32_t stretch : 1; /* [17] */ + __IO uint32_t wakeupen : 1; /* [18] */ + __IO uint32_t gcaen : 1; /* [19] */ + __IO uint32_t haddren : 1; /* [20] */ + __IO uint32_t devaddren : 1; /* [21] */ + __IO uint32_t smbalert : 1; /* [22] */ + __IO uint32_t pecen : 1; /* [23] */ + __IO uint32_t reserved3 : 8; /* [31:24] */ + } ctrl1_bit; + }; + + /** + * @brief i2c ctrl2 register, offset:0x04 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t saddr : 10;/* [9:0] */ + __IO uint32_t dir : 1; /* [10] */ + __IO uint32_t addr10 : 1; /* [11] */ + __IO uint32_t readh10 : 1; /* [12] */ + __IO uint32_t genstart : 1; /* [13] */ + __IO uint32_t genstop : 1; /* [14] */ + __IO uint32_t nacken : 1; /* [15] */ + __IO uint32_t cnt : 8; /* [23:16] */ + __IO uint32_t rlden : 1; /* [24] */ + __IO uint32_t astopen : 1; /* [25] */ + __IO uint32_t pecten : 1; /* [26] */ + __IO uint32_t reserved1 : 5; /* [31:27] */ + } ctrl2_bit; + }; + + /** + * @brief i2c oaddr1 register, offset:0x08 + */ + union + { + __IO uint32_t oaddr1; + struct + { + __IO uint32_t addr1 : 10;/* [9:0] */ + __IO uint32_t addr1mode : 1; /* [10] */ + __IO uint32_t reserved1 : 4; /* [14:11] */ + __IO uint32_t addr1en : 1; /* [15] */ + __IO uint32_t reserved2 : 16;/* [31:16] */ + } oaddr1_bit; + }; + + /** + * @brief i2c oaddr2 register, offset:0x0c + */ + union + { + __IO uint32_t oaddr2; + struct + { + __IO uint32_t reserved1 : 1; /* [0] */ + __IO uint32_t addr2 : 7; /* [7:1] */ + __IO uint32_t addr2mask : 3; /* [10:8] */ + __IO uint32_t reserved2 : 4; /* [14:11] */ + __IO uint32_t addr2en : 1; /* [15] */ + __IO uint32_t reserved3 : 16;/* [31:16] */ + } oaddr2_bit; + }; + + /** + * @brief i2c clkctrl register, offset:0x10 + */ + union + { + __IO uint32_t clkctrl; + struct + { + __IO uint32_t scll : 8; /* [7:0] */ + __IO uint32_t sclh : 8; /* [15:8] */ + __IO uint32_t sdad : 4; /* [19:16] */ + __IO uint32_t scld : 4; /* [23:20] */ + __IO uint32_t divh : 4; /* [27:24] */ + __IO uint32_t divl : 4; /* [31:28] */ + } clkctrl_bit; + }; + + /** + * @brief i2c timeout register, offset:0x14 + */ + union + { + __IO uint32_t timeout; + struct + { + __IO uint32_t totime : 12;/* [11:0] */ + __IO uint32_t tomode : 1; /* [12] */ + __IO uint32_t reserved1 : 2; /* [14:13] */ + __IO uint32_t toen : 1; /* [15] */ + __IO uint32_t exttime : 12;/* [27:16] */ + __IO uint32_t reserved2 : 3; /* [30:28] */ + __IO uint32_t exten : 1; /* [31] */ + } timeout_bit; + }; + + /** + * @brief i2c sts register, offset:0x18 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t tdbe : 1; /* [0] */ + __IO uint32_t tdis : 1; /* [1] */ + __IO uint32_t rdbf : 1; /* [2] */ + __IO uint32_t addrf : 1; /* [3] */ + __IO uint32_t ackfail : 1; /* [4] */ + __IO uint32_t stopf : 1; /* [5] */ + __IO uint32_t tdc : 1; /* [6] */ + __IO uint32_t tcrld : 1; /* [7] */ + __IO uint32_t buserr : 1; /* [8] */ + __IO uint32_t arlost : 1; /* [9] */ + __IO uint32_t ouf : 1; /* [10] */ + __IO uint32_t pecerr : 1; /* [11] */ + __IO uint32_t tmout : 1; /* [12] */ + __IO uint32_t alertf : 1; /* [13] */ + __IO uint32_t reserved1 : 1; /* [14] */ + __IO uint32_t busyf : 1; /* [15] */ + __IO uint32_t sdir : 1; /* [16] */ + __IO uint32_t addr : 7; /* [23:17] */ + __IO uint32_t reserved2 : 8; /* [31:24] */ + } sts_bit; + }; + + /** + * @brief i2c clr register, offset:0x1c + */ + union + { + __IO uint32_t clr; + struct + { + __IO uint32_t reserved1 : 3; /* [2:0] */ + __IO uint32_t addrc : 1; /* [3] */ + __IO uint32_t ackfailc : 1; /* [4] */ + __IO uint32_t stopc : 1; /* [5] */ + __IO uint32_t reserved2 : 2; /* [6:7] */ + __IO uint32_t buserrc : 1; /* [8] */ + __IO uint32_t arlostc : 1; /* [9] */ + __IO uint32_t oufc : 1; /* [10] */ + __IO uint32_t pecerrc : 1; /* [11] */ + __IO uint32_t tmoutc : 1; /* [12] */ + __IO uint32_t alertc : 1; /* [13] */ + __IO uint32_t reserved3 : 18;/* [31:14] */ + } clr_bit; + }; + + /** + * @brief i2c pec register, offset:0x20 + */ + union + { + __IO uint32_t pec; + struct + { + __IO uint32_t pecval : 8; /* [7:0] */ + __IO uint32_t reserved1 : 24;/* [31:8] */ + } pec_bit; + }; + + /** + * @brief i2c rxdt register, offset:0x20 + */ + union + { + __IO uint32_t rxdt; + struct + { + __IO uint32_t dt : 8; /* [7:0] */ + __IO uint32_t reserved1 : 24;/* [31:8] */ + } rxdt_bit; + }; + + /** + * @brief i2c txdt register, offset:0x20 + */ + union + { + __IO uint32_t txdt; + struct + { + __IO uint32_t dt : 8; /* [7:0] */ + __IO uint32_t reserved1 : 24;/* [31:8] */ + } txdt_bit; + }; + +} i2c_type; + +/** + * @} + */ + +#define I2C1 ((i2c_type *) I2C1_BASE) +#define I2C2 ((i2c_type *) I2C2_BASE) +#define I2C3 ((i2c_type *) I2C3_BASE) + +/** @defgroup I2C_exported_functions + * @{ + */ + +void i2c_reset(i2c_type *i2c_x); +void i2c_init(i2c_type *i2c_x, uint8_t dfilters, uint32_t clk); +void i2c_own_address1_set(i2c_type *i2c_x, i2c_address_mode_type mode, uint16_t address); +void i2c_own_address2_set(i2c_type *i2c_x, uint8_t address, i2c_addr2_mask_type mask); +void i2c_own_address2_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_smbus_enable(i2c_type *i2c_x, i2c_smbus_mode_type mode, confirm_state new_state); +void i2c_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_clock_stretch_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_ack_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_addr10_mode_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_transfer_addr_set(i2c_type *i2c_x, uint16_t address); +uint16_t i2c_transfer_addr_get(i2c_type *i2c_x); +void i2c_transfer_dir_set(i2c_type *i2c_x, i2c_transfer_dir_type i2c_direction); +i2c_transfer_dir_type i2c_transfer_dir_get(i2c_type *i2c_x); +uint8_t i2c_matched_addr_get(i2c_type *i2c_x); +void i2c_auto_stop_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_reload_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_cnt_set(i2c_type *i2c_x, uint8_t cnt); +void i2c_addr10_header_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_general_call_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_smbus_alert_set(i2c_type *i2c_x, i2c_smbus_alert_set_type level); +void i2c_slave_data_ctrl_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_pec_calculate_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_pec_transmit_enable(i2c_type *i2c_x, confirm_state new_state); +uint8_t i2c_pec_value_get(i2c_type *i2c_x); +void i2c_timeout_set(i2c_type *i2c_x, uint16_t timeout); +void i2c_timeout_detcet_set(i2c_type *i2c_x, i2c_timeout_detcet_type mode); +void i2c_timeout_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_ext_timeout_set(i2c_type *i2c_x, uint16_t timeout); +void i2c_ext_timeout_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_interrupt_enable(i2c_type *i2c_x, uint32_t source, confirm_state new_state); +flag_status i2c_interrupt_get(i2c_type *i2c_x, uint16_t source); +void i2c_dma_enable(i2c_type *i2c_x, i2c_dma_request_type dma_req, confirm_state new_state); +void i2c_transmit_set(i2c_type *i2c_x, uint16_t address, uint8_t cnt, i2c_reload_stop_mode_type rld_stop, i2c_start_mode_type start); +void i2c_start_generate(i2c_type *i2c_x); +void i2c_stop_generate(i2c_type *i2c_x); +void i2c_data_send(i2c_type *i2c_x, uint8_t data); +uint8_t i2c_data_receive(i2c_type *i2c_x); +flag_status i2c_flag_get(i2c_type *i2c_x, uint32_t flag); +flag_status i2c_interrupt_flag_get(i2c_type *i2c_x, uint32_t flag); +void i2c_flag_clear(i2c_type *i2c_x, uint32_t flag); +void i2c_wakeup_enable(i2c_type *i2c_x, confirm_state new_state); +void i2c_analog_filter_enable(i2c_type *i2c_x, confirm_state new_state); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_misc.h b/Firmware/drivers/inc/at32a423_misc.h new file mode 100644 index 0000000..68b3b58 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_misc.h @@ -0,0 +1,123 @@ +/** + ************************************************************************** + * @file at32a423_misc.h + * @brief at32a423 misc header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_MISC_H +#define __AT32A423_MISC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup MISC + * @{ + */ + +/** @defgroup MISC_vector_table_base_address + * @{ + */ + +#define NVIC_VECTTAB_RAM ((uint32_t)0x20000000) /*!< nvic vector table based ram address */ +#define NVIC_VECTTAB_FLASH ((uint32_t)0x08000000) /*!< nvic vector table based flash address */ + +/** + * @} + */ + +/** @defgroup MISC_exported_types + * @{ + */ + +/** + * @brief nvic interrupt priority group + */ +typedef enum +{ + NVIC_PRIORITY_GROUP_0 = ((uint32_t)0x7), /*!< 0 bits for preemption priority, 4 bits for subpriority */ + NVIC_PRIORITY_GROUP_1 = ((uint32_t)0x6), /*!< 1 bits for preemption priority, 3 bits for subpriority */ + NVIC_PRIORITY_GROUP_2 = ((uint32_t)0x5), /*!< 2 bits for preemption priority, 2 bits for subpriority */ + NVIC_PRIORITY_GROUP_3 = ((uint32_t)0x4), /*!< 3 bits for preemption priority, 1 bits for subpriority */ + NVIC_PRIORITY_GROUP_4 = ((uint32_t)0x3) /*!< 4 bits for preemption priority, 0 bits for subpriority */ +} nvic_priority_group_type; + +/** + * @brief nvic low power mode + */ +typedef enum +{ + NVIC_LP_SLEEPONEXIT = 0x02, /*!< enable sleep-on-exit feature */ + NVIC_LP_SLEEPDEEP = 0x04, /*!< enable sleep-deep output signal when entering sleep mode */ + NVIC_LP_SEVONPEND = 0x10 /*!< send event on pending */ +} nvic_lowpower_mode_type; + +/** + * @brief systick clock source + */ +typedef enum +{ + SYSTICK_CLOCK_SOURCE_AHBCLK_DIV8 = ((uint32_t)0x00000000), /*!< systick clock source from core clock div8 */ + SYSTICK_CLOCK_SOURCE_AHBCLK_NODIV = ((uint32_t)0x00000004) /*!< systick clock source from core clock */ +} systick_clock_source_type; + +/** + * @} + */ + +/** @defgroup MISC_exported_functions + * @{ + */ + +void nvic_system_reset(void); +void nvic_irq_enable(IRQn_Type irqn, uint32_t preempt_priority, uint32_t sub_priority); +void nvic_irq_disable(IRQn_Type irqn); +void nvic_priority_group_config(nvic_priority_group_type priority_group); +void nvic_vector_table_set(uint32_t base, uint32_t offset); +void nvic_lowpower_mode_config(nvic_lowpower_mode_type lp_mode, confirm_state new_state); +void systick_clock_source_config(systick_clock_source_type source); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_pwc.h b/Firmware/drivers/inc/at32a423_pwc.h new file mode 100644 index 0000000..e6fb80e --- /dev/null +++ b/Firmware/drivers/inc/at32a423_pwc.h @@ -0,0 +1,235 @@ +/** + ************************************************************************** + * @file at32a423_pwc.h + * @brief at32a423 pwr header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_PWC_H +#define __AT32A423_PWC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup PWC + * @{ + */ + +/** @defgroup PWC_flags_definition + * @brief pwc flag + * @{ + */ + +#define PWC_WAKEUP_FLAG ((uint32_t)0x00000001) /*!< wakeup flag */ +#define PWC_STANDBY_FLAG ((uint32_t)0x00000002) /*!< standby flag */ +#define PWC_PVM_OUTPUT_FLAG ((uint32_t)0x00000004) /*!< pvm output flag */ + +/** + * @} + */ + +/** + * @brief pwc wakeup pin num definition + */ +#define PWC_WAKEUP_PIN_1 ((uint32_t)0x00000100) /*!< standby wake-up pin1(pa0) */ +#define PWC_WAKEUP_PIN_2 ((uint32_t)0x00000200) /*!< standby wake-up pin2(pc13) */ +#define PWC_WAKEUP_PIN_6 ((uint32_t)0x00002000) /*!< standby wake-up pin6(pb5) */ +#define PWC_WAKEUP_PIN_7 ((uint32_t)0x00004000) /*!< standby wake-up pin7(pb15) */ + +/** + * @brief select ldo output voltage. + * @param val: set the ldo output voltage. + * this parameter can be one of the following values: + * - PWC_LDO_OUTPUT_1V3: system clock up to 150MHz. + * - PWC_LDO_OUTPUT_1V2: system clock up to 120MHz. + * - PWC_LDO_OUTPUT_1V0: system clock up to 64MHz. + * @note none. + */ +#define pwc_ldo_output_voltage_set(val) (PWC->ldoov_bit.ldoovsel = val) + +/** @defgroup PWC_exported_types + * @{ + */ + +/** + * @brief pwc pvm voltage type + */ +typedef enum +{ + PWC_PVM_VOLTAGE_2V3 = 0x01, /*!< power voltage monitoring boundary 2.3v */ + PWC_PVM_VOLTAGE_2V4 = 0x02, /*!< power voltage monitoring boundary 2.4v */ + PWC_PVM_VOLTAGE_2V5 = 0x03, /*!< power voltage monitoring boundary 2.5v */ + PWC_PVM_VOLTAGE_2V6 = 0x04, /*!< power voltage monitoring boundary 2.6v */ + PWC_PVM_VOLTAGE_2V7 = 0x05, /*!< power voltage monitoring boundary 2.7v */ + PWC_PVM_VOLTAGE_2V8 = 0x06, /*!< power voltage monitoring boundary 2.8v */ + PWC_PVM_VOLTAGE_2V9 = 0x07 /*!< power voltage monitoring boundary 2.9v */ +} pwc_pvm_voltage_type; + +/** + * @brief pwc ldo output voltage type + */ +typedef enum +{ + PWC_LDO_OUTPUT_1V0 = 0x00, /*!< ldo output voltage is 1.0v */ + PWC_LDO_OUTPUT_1V2 = 0x02, /*!< ldo output voltage is 1.2v */ + PWC_LDO_OUTPUT_1V3 = 0x03 /*!< ldo output voltage is 1.3v */ +} pwc_ldo_output_voltage_type; + +/** + * @brief pwc sleep enter type + */ +typedef enum +{ + PWC_SLEEP_ENTER_WFI = 0x00, /*!< use wfi enter sleep mode */ + PWC_SLEEP_ENTER_WFE = 0x01 /*!< use wfe enter sleep mode */ +} pwc_sleep_enter_type ; + +/** + * @brief pwc deep sleep enter type + */ +typedef enum +{ + PWC_DEEP_SLEEP_ENTER_WFI = 0x00, /*!< use wfi enter deepsleep mode */ + PWC_DEEP_SLEEP_ENTER_WFE = 0x01 /*!< use wfe enter deepsleep mode */ +} pwc_deep_sleep_enter_type ; + +/** + * @brief pwc regulator type + */ +typedef enum +{ + PWC_REGULATOR_ON = 0x00, /*!< voltage regulator state on when deepsleep mode */ + PWC_REGULATOR_LOW_POWER = 0x01, /*!< voltage regulator state low power when deepsleep mode */ + PWC_REGULATOR_EXTRA_LOW_POWER = 0x02 /*!< voltage regulator state extra low power when deepsleep mode */ +} pwc_regulator_type ; + +/** + * @brief type define pwc register all + */ +typedef struct +{ + /** + * @brief pwc ctrl register, offset:0x00 + */ + union + { + __IO uint32_t ctrl; + struct + { + __IO uint32_t vrsel : 1; /* [0] */ + __IO uint32_t lpsel : 1; /* [1] */ + __IO uint32_t clswef : 1; /* [2] */ + __IO uint32_t clsef : 1; /* [3] */ + __IO uint32_t pvmen : 1; /* [4] */ + __IO uint32_t pvmsel : 3; /* [7:5] */ + __IO uint32_t bpwen : 1; /* [8] */ + __IO uint32_t reserved1 : 23;/* [31:9] */ + } ctrl_bit; + }; + + /** + * @brief pwc ctrlsts register, offset:0x04 + */ + union + { + __IO uint32_t ctrlsts; + struct + { + __IO uint32_t swef : 1; /* [0] */ + __IO uint32_t sef : 1; /* [1] */ + __IO uint32_t pvmof : 1; /* [2] */ + __IO uint32_t reserved1 : 5; /* [7:3] */ + __IO uint32_t swpen1 : 1; /* [8] */ + __IO uint32_t swpen2 : 1; /* [9] */ + __IO uint32_t reserved2 : 3;/* [12:10] */ + __IO uint32_t swpen6 : 1; /* [13] */ + __IO uint32_t swpen7 : 1; /* [14] */ + __IO uint32_t reserved3 : 17;/* [31:15] */ + } ctrlsts_bit; + }; + + __IO uint32_t reserved1[2]; + + /** + * @brief pwc ldoov register, offset:0x10 + */ + union + { + __IO uint32_t ldoov; + struct + { + __IO uint32_t ldoovsel : 2; /* [1:0] */ + __IO uint32_t reserved1 : 2; /* [3:2] */ + __IO uint32_t vrexlpen : 1; /* [4] */ + __IO uint32_t reserved2 : 27;/* [31:5] */ + } ldoov_bit; + }; + +} pwc_type; + +/** + * @} + */ + +#define PWC ((pwc_type *) PWC_BASE) + +/** @defgroup PWC_exported_functions + * @{ + */ + +void pwc_reset(void); +void pwc_battery_powered_domain_access(confirm_state new_state); +void pwc_pvm_level_select(pwc_pvm_voltage_type pvm_voltage); +void pwc_power_voltage_monitor_enable(confirm_state new_state); +void pwc_wakeup_pin_enable(uint32_t pin_num, confirm_state new_state); +void pwc_flag_clear(uint32_t pwc_flag); +flag_status pwc_flag_get(uint32_t pwc_flag); +void pwc_sleep_mode_enter(pwc_sleep_enter_type pwc_sleep_enter); +void pwc_deep_sleep_mode_enter(pwc_deep_sleep_enter_type pwc_deep_sleep_enter); +void pwc_voltage_regulate_set(pwc_regulator_type pwc_regulator); +void pwc_standby_mode_enter(void); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_scfg.h b/Firmware/drivers/inc/at32a423_scfg.h new file mode 100644 index 0000000..da8e05c --- /dev/null +++ b/Firmware/drivers/inc/at32a423_scfg.h @@ -0,0 +1,301 @@ +/** + ************************************************************************** + * @file at32a423_scfg.h + * @brief at32a423 system config header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_SCFG_H +#define __AT32A423_SCFG_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup SCFG + * @{ + */ + +#define SCFG_REG(value) PERIPH_REG(SCFG_BASE, value) +#define SCFG_REG_BIT(value) PERIPH_REG_BIT(value) + +/** @defgroup SCFG_exported_types + * @{ + */ + +/** + * @brief scfg infrared modulation signal source selecting type + */ +typedef enum +{ + SCFG_IR_SOURCE_TMR10 = 0x00 /* infrared signal source select tmr10 */ +} scfg_ir_source_type; + +/** + * @brief scfg infrared output polarity selecting type + */ +typedef enum +{ + SCFG_IR_POLARITY_NO_AFFECTE = 0x00, /* infrared output polarity no affecte */ + SCFG_IR_POLARITY_REVERSE = 0x01 /* infrared output polarity reverse */ +} scfg_ir_polarity_type; + +/** + * @brief scfg memory address mapping selecting type + */ +typedef enum +{ + SCFG_MEM_MAP_MAIN_MEMORY = 0x00, /* 0x00000000 address mapping from main memory */ + SCFG_MEM_MAP_BOOT_MEMORY = 0x01, /* 0x00000000 address mapping from boot memory */ + SCFG_MEM_MAP_INTERNAL_SRAM = 0x03, /* 0x00000000 address mapping from internal sram */ +} scfg_mem_map_type; + +/** + * @brief scfg pin source type + */ +typedef enum +{ + SCFG_PINS_SOURCE0 = 0x00, + SCFG_PINS_SOURCE1 = 0x01, + SCFG_PINS_SOURCE2 = 0x02, + SCFG_PINS_SOURCE3 = 0x03, + SCFG_PINS_SOURCE4 = 0x04, + SCFG_PINS_SOURCE5 = 0x05, + SCFG_PINS_SOURCE6 = 0x06, + SCFG_PINS_SOURCE7 = 0x07, + SCFG_PINS_SOURCE8 = 0x08, + SCFG_PINS_SOURCE9 = 0x09, + SCFG_PINS_SOURCE10 = 0x0A, + SCFG_PINS_SOURCE11 = 0x0B, + SCFG_PINS_SOURCE12 = 0x0C, + SCFG_PINS_SOURCE13 = 0x0D, + SCFG_PINS_SOURCE14 = 0x0E, + SCFG_PINS_SOURCE15 = 0x0F +} scfg_pins_source_type; + +/** + * @brief gpio port source type + */ +typedef enum +{ + SCFG_PORT_SOURCE_GPIOA = 0x00, + SCFG_PORT_SOURCE_GPIOB = 0x01, + SCFG_PORT_SOURCE_GPIOC = 0x02, + SCFG_PORT_SOURCE_GPIOD = 0x03, + SCFG_PORT_SOURCE_GPIOE = 0x04, + SCFG_PORT_SOURCE_GPIOF = 0x05, + SCFG_PORT_SOURCE_GPIOG = 0x06, + SCFG_PORT_SOURCE_GPIOH = 0x07 +} scfg_port_source_type; + +/** + * @brief scfg i2s full duplex type + */ +typedef enum +{ + SCFG_FULL_DUPLEX_I2S_NONE = 0x00, /* no i2s full duplex */ + SCFG_FULL_DUPLEX_I2S1_I2S3 = 0x01, /* i2s full duplex with i2s1 and i2s3 */ + SCFG_FULL_DUPLEX_I2S2_I2S3 = 0x02, /* i2s full duplex with i2s2 and i2s3 */ + SCFG_FULL_DUPLEX_I2S1_I2S2 = 0x03, /* i2s full duplex with i2s1 and i2s2 */ +} scfg_i2s_type; + +/** + * @brief scfg ultra high sourcing/sinking strength pins type + */ +typedef enum +{ + SCFG_ULTRA_DRIVEN_PB9 = MAKE_VALUE(0x2C, 1), + SCFG_ULTRA_DRIVEN_PB8 = MAKE_VALUE(0x2C, 3), + SCFG_ULTRA_DRIVEN_PD12 = MAKE_VALUE(0x2C, 5), + SCFG_ULTRA_DRIVEN_PD13 = MAKE_VALUE(0x2C, 6) +} scfg_ultra_driven_pins_type; + +/** + * @brief type define system config register all + */ +typedef struct +{ + /** + * @brief scfg cfg1 register, offset:0x00 + */ + union + { + __IO uint32_t cfg1; + struct + { + __IO uint32_t mem_map_sel : 2; /* [1:0] */ + __IO uint32_t reserved1 : 3; /* [4:2] */ + __IO uint32_t ir_pol : 1; /* [5] */ + __IO uint32_t ir_src_sel : 2; /* [7:6] */ + __IO uint32_t reserved2 : 24;/* [31:8] */ + } cfg1_bit; + }; + + /** + * @brief scfg cfg2 register, offset:0x04 + */ + union + { + __IO uint32_t cfg2; + struct + { + __IO uint32_t lockup_lk : 1; /* [0] */ + __IO uint32_t reserved1 : 1; /* [1] */ + __IO uint32_t pvm_lk : 1; /* [2] */ + __IO uint32_t reserved2 : 27;/* [29:3] */ + __IO uint32_t i2s_fd : 2; /* [31:30] */ + } cfg2_bit; + }; + + /** + * @brief scfg exintc1 register, offset:0x08 + */ + union + { + __IO uint32_t exintc1; + struct + { + __IO uint32_t exint0 : 4; /* [3:0] */ + __IO uint32_t exint1 : 4; /* [7:4] */ + __IO uint32_t exint2 : 4; /* [11:8] */ + __IO uint32_t exint3 : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } exintc1_bit; + }; + + /** + * @brief scfg exintc2 register, offset:0x0C + */ + union + { + __IO uint32_t exintc2; + struct + { + __IO uint32_t exint4 : 4; /* [3:0] */ + __IO uint32_t exint5 : 4; /* [7:4] */ + __IO uint32_t exint6 : 4; /* [11:8] */ + __IO uint32_t exint7 : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } exintc2_bit; + }; + + /** + * @brief scfg exintc3 register, offset:0x10 + */ + union + { + __IO uint32_t exintc3; + struct + { + __IO uint32_t exint8 : 4; /* [3:0] */ + __IO uint32_t exint9 : 4; /* [7:4] */ + __IO uint32_t exint10 : 4; /* [11:8] */ + __IO uint32_t exint11 : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } exintc3_bit; + }; + + /** + * @brief scfg exintc4 register, offset:0x14 + */ + union + { + __IO uint32_t exintc4; + struct + { + __IO uint32_t exint12 : 4; /* [3:0] */ + __IO uint32_t exint13 : 4; /* [7:4] */ + __IO uint32_t exint14 : 4; /* [11:8] */ + __IO uint32_t exint15 : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } exintc4_bit; + }; + + /** + * @brief crm reserved1 register, offset:0x18~0x28 + */ + __IO uint32_t reserved1[5]; + + /** + * @brief scfg uhdrv register, offset:0x2C + */ + union + { + __IO uint32_t uhdrv; + struct + { + __IO uint32_t reserved1 : 1; /* [0] */ + __IO uint32_t pb9_uh : 1; /* [1] */ + __IO uint32_t reserved2 : 1; /* [2] */ + __IO uint32_t pb8_uh : 1; /* [3] */ + __IO uint32_t reserved3 : 1; /* [4] */ + __IO uint32_t pd12_uh : 1; /* [5] */ + __IO uint32_t pd13_uh : 1; /* [6] */ + __IO uint32_t reserved4 : 25;/* [31:7] */ + } uhdrv_bit; + }; + +} scfg_type; + +/** + * @} + */ + +#define SCFG ((scfg_type *) SCFG_BASE) + +/** @defgroup SCFG_exported_functions + * @{ + */ + +void scfg_reset(void); +void scfg_infrared_config(scfg_ir_source_type source, scfg_ir_polarity_type polarity); +scfg_mem_map_type scfg_mem_map_get(void); +void scfg_i2s_full_duplex_config(scfg_i2s_type i2s_full_duplex); +void scfg_pvm_lock_enable(confirm_state new_state); +void scfg_lockup_enable(confirm_state new_state); +void scfg_exint_line_config(scfg_port_source_type port_source, scfg_pins_source_type pin_source); +void scfg_pins_ultra_driven_enable(scfg_ultra_driven_pins_type value, confirm_state new_state); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_spi.h b/Firmware/drivers/inc/at32a423_spi.h new file mode 100644 index 0000000..51937ac --- /dev/null +++ b/Firmware/drivers/inc/at32a423_spi.h @@ -0,0 +1,501 @@ +/** + ************************************************************************** + * @file at32a423_spi.h + * @brief at32a423 spi header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_SPI_H +#define __AT32A423_SPI_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup SPI + * @{ + */ + +/** + * @defgroup SPI_I2S_flags_definition + * @brief spi i2s flag + * @{ + */ + +#define SPI_I2S_RDBF_FLAG 0x0001 /*!< spi or i2s receive data buffer full flag */ +#define SPI_I2S_TDBE_FLAG 0x0002 /*!< spi or i2s transmit data buffer empty flag */ +#define I2S_ACS_FLAG 0x0004 /*!< i2s audio channel state flag */ +#define I2S_TUERR_FLAG 0x0008 /*!< i2s transmitter underload error flag */ +#define SPI_CCERR_FLAG 0x0010 /*!< spi crc calculation error flag */ +#define SPI_MMERR_FLAG 0x0020 /*!< spi master mode error flag */ +#define SPI_I2S_ROERR_FLAG 0x0040 /*!< spi or i2s receiver overflow error flag */ +#define SPI_I2S_BF_FLAG 0x0080 /*!< spi or i2s busy flag */ +#define SPI_CSPAS_FLAG 0x0100 /*!< spi cs pulse abnormal setting fiag */ + +/** + * @} + */ + +/** + * @defgroup SPI_I2S_interrupts_definition + * @brief spi i2s interrupt + * @{ + */ + +#define SPI_I2S_ERROR_INT 0x0020 /*!< error interrupt */ +#define SPI_I2S_RDBF_INT 0x0040 /*!< receive data buffer full interrupt */ +#define SPI_I2S_TDBE_INT 0x0080 /*!< transmit data buffer empty interrupt */ + +/** + * @} + */ + +/** @defgroup SPI_exported_types + * @{ + */ + +/** + * @brief spi frame bit num type + */ +typedef enum +{ + SPI_FRAME_8BIT = 0x00, /*!< 8-bit data frame format */ + SPI_FRAME_16BIT = 0x01 /*!< 16-bit data frame format */ +} spi_frame_bit_num_type; + +/** + * @brief spi master/slave mode type + */ +typedef enum +{ + SPI_MODE_SLAVE = 0x00, /*!< select as slave mode */ + SPI_MODE_MASTER = 0x01 /*!< select as master mode */ +} spi_master_slave_mode_type; + +/** + * @brief spi clock polarity (clkpol) type + */ +typedef enum +{ + SPI_CLOCK_POLARITY_LOW = 0x00, /*!< sck keeps low at idle state */ + SPI_CLOCK_POLARITY_HIGH = 0x01 /*!< sck keeps high at idle state */ +} spi_clock_polarity_type; + +/** + * @brief spi clock phase (clkpha) type + */ +typedef enum +{ + SPI_CLOCK_PHASE_1EDGE = 0x00, /*!< data capture start from the first clock edge */ + SPI_CLOCK_PHASE_2EDGE = 0x01 /*!< data capture start from the second clock edge */ +} spi_clock_phase_type; + +/** + * @brief spi cs mode type + */ +typedef enum +{ + SPI_CS_HARDWARE_MODE = 0x00, /*!< cs is hardware mode */ + SPI_CS_SOFTWARE_MODE = 0x01 /*!< cs is software mode */ +} spi_cs_mode_type; + +/** + * @brief spi master clock frequency division type + */ +typedef enum +{ + SPI_MCLK_DIV_2 = 0x00, /*!< master clock frequency division 2 */ + SPI_MCLK_DIV_3 = 0x0A, /*!< master clock frequency division 3 */ + SPI_MCLK_DIV_4 = 0x01, /*!< master clock frequency division 4 */ + SPI_MCLK_DIV_8 = 0x02, /*!< master clock frequency division 8 */ + SPI_MCLK_DIV_16 = 0x03, /*!< master clock frequency division 16 */ + SPI_MCLK_DIV_32 = 0x04, /*!< master clock frequency division 32 */ + SPI_MCLK_DIV_64 = 0x05, /*!< master clock frequency division 64 */ + SPI_MCLK_DIV_128 = 0x06, /*!< master clock frequency division 128 */ + SPI_MCLK_DIV_256 = 0x07, /*!< master clock frequency division 256 */ + SPI_MCLK_DIV_512 = 0x08, /*!< master clock frequency division 512 */ + SPI_MCLK_DIV_1024 = 0x09 /*!< master clock frequency division 1024 */ +} spi_mclk_freq_div_type; + +/** + * @brief spi transmit first bit (lsb/msb) type + */ +typedef enum +{ + SPI_FIRST_BIT_MSB = 0x00, /*!< the frame format is msb first */ + SPI_FIRST_BIT_LSB = 0x01 /*!< the frame format is lsb first */ +} spi_first_bit_type; + +/** + * @brief spi transmission mode type + */ +typedef enum +{ + SPI_TRANSMIT_FULL_DUPLEX = 0x00, /*!< dual line unidirectional full-duplex mode(slben = 0 and ora = 0) */ + SPI_TRANSMIT_SIMPLEX_RX = 0x01, /*!< dual line unidirectional simplex receive-only mode(slben = 0 and ora = 1) */ + SPI_TRANSMIT_HALF_DUPLEX_RX = 0x02, /*!< single line bidirectional half duplex mode-receiving(slben = 1 and slbtd = 0) */ + SPI_TRANSMIT_HALF_DUPLEX_TX = 0x03 /*!< single line bidirectional half duplex mode-transmitting(slben = 1 and slbtd = 1) */ +} spi_transmission_mode_type; + +/** + * @brief spi crc direction type + */ +typedef enum +{ + SPI_CRC_RX = 0x0014, /*!< crc direction is rx */ + SPI_CRC_TX = 0x0018 /*!< crc direction is tx */ +} spi_crc_direction_type; + +/** + * @brief spi single line bidirectional direction type + */ +typedef enum +{ + SPI_HALF_DUPLEX_DIRECTION_RX = 0x00, /*!< single line bidirectional half duplex mode direction: receive(slbtd = 0) */ + SPI_HALF_DUPLEX_DIRECTION_TX = 0x01 /*!< single line bidirectional half duplex mode direction: transmit(slbtd = 1) */ +} spi_half_duplex_direction_type; + +/** + * @brief spi software cs internal level type + */ +typedef enum +{ + SPI_SWCS_INTERNAL_LEVEL_LOW = 0x00, /*!< internal level low */ + SPI_SWCS_INTERNAL_LEVEL_HIGHT = 0x01 /*!< internal level high */ +} spi_software_cs_level_type; + +/** + * @brief i2s audio protocol type + */ +typedef enum +{ + I2S_AUDIO_PROTOCOL_PHILLIPS = 0x00, /*!< i2s philip standard */ + I2S_AUDIO_PROTOCOL_MSB = 0x01, /*!< msb-justified standard */ + I2S_AUDIO_PROTOCOL_LSB = 0x02, /*!< lsb-justified standard */ + I2S_AUDIO_PROTOCOL_PCM_SHORT = 0x03, /*!< pcm standard-short frame */ + I2S_AUDIO_PROTOCOL_PCM_LONG = 0x04 /*!< pcm standard-long frame */ +} i2s_audio_protocol_type; + +/** + * @brief i2s audio frequency type + */ +typedef enum +{ + I2S_AUDIO_FREQUENCY_DEFAULT = 2, /*!< i2s audio sampling frequency default */ + I2S_AUDIO_FREQUENCY_8K = 8000, /*!< i2s audio sampling frequency 8k */ + I2S_AUDIO_FREQUENCY_11_025K = 11025, /*!< i2s audio sampling frequency 11.025k */ + I2S_AUDIO_FREQUENCY_16K = 16000, /*!< i2s audio sampling frequency 16k */ + I2S_AUDIO_FREQUENCY_22_05K = 22050, /*!< i2s audio sampling frequency 22.05k */ + I2S_AUDIO_FREQUENCY_32K = 32000, /*!< i2s audio sampling frequency 32k */ + I2S_AUDIO_FREQUENCY_44_1K = 44100, /*!< i2s audio sampling frequency 44.1k */ + I2S_AUDIO_FREQUENCY_48K = 48000, /*!< i2s audio sampling frequency 48k */ + I2S_AUDIO_FREQUENCY_96K = 96000, /*!< i2s audio sampling frequency 96k */ + I2S_AUDIO_FREQUENCY_192K = 192000 /*!< i2s audio sampling frequency 192k */ +} i2s_audio_sampling_freq_type; + +/** + * @brief i2s data bit num and channel bit num type + */ +typedef enum +{ + I2S_DATA_16BIT_CHANNEL_16BIT = 0x01, /*!< 16-bit data packed in 16-bit channel frame */ + I2S_DATA_16BIT_CHANNEL_32BIT = 0x02, /*!< 16-bit data packed in 32-bit channel frame */ + I2S_DATA_24BIT_CHANNEL_32BIT = 0x03, /*!< 24-bit data packed in 32-bit channel frame */ + I2S_DATA_32BIT_CHANNEL_32BIT = 0x04 /*!< 32-bit data packed in 32-bit channel frame */ +} i2s_data_channel_format_type; + +/** + * @brief i2s operation mode type + */ +typedef enum +{ + I2S_MODE_SLAVE_TX = 0x00, /*!< slave transmission mode */ + I2S_MODE_SLAVE_RX = 0x01, /*!< slave reception mode */ + I2S_MODE_MASTER_TX = 0x02, /*!< master transmission mode */ + I2S_MODE_MASTER_RX = 0x03 /*!< master reception mode */ +} i2s_operation_mode_type; + +/** + * @brief i2s clock polarity type + */ +typedef enum +{ + I2S_CLOCK_POLARITY_LOW = 0x00, /*!< i2s clock steady state is low level */ + I2S_CLOCK_POLARITY_HIGH = 0x01 /*!< i2s clock steady state is high level */ +} i2s_clock_polarity_type; + +/** + * @brief spi init type + */ +typedef struct +{ + spi_transmission_mode_type transmission_mode; /*!< transmission mode selection */ + spi_master_slave_mode_type master_slave_mode; /*!< master or slave mode selection */ + spi_mclk_freq_div_type mclk_freq_division; /*!< master clock frequency division selection */ + spi_first_bit_type first_bit_transmission;/*!< transmit lsb or msb selection */ + spi_frame_bit_num_type frame_bit_num; /*!< frame bit num 8 or 16 bit selection */ + spi_clock_polarity_type clock_polarity; /*!< clock polarity selection */ + spi_clock_phase_type clock_phase; /*!< clock phase selection */ + spi_cs_mode_type cs_mode_selection; /*!< hardware or software cs mode selection */ +} spi_init_type; + +/** + * @brief i2s init type + */ +typedef struct +{ + i2s_operation_mode_type operation_mode; /*!< operation mode selection */ + i2s_audio_protocol_type audio_protocol; /*!< audio protocol selection */ + i2s_audio_sampling_freq_type audio_sampling_freq; /*!< audio frequency selection */ + i2s_data_channel_format_type data_channel_format; /*!< data bit num and channel bit num selection */ + i2s_clock_polarity_type clock_polarity; /*!< clock polarity selection */ + confirm_state mclk_output_enable; /*!< mclk_output selection */ +} i2s_init_type; + +/** + * @brief type define spi register all + */ +typedef struct +{ + + /** + * @brief spi ctrl1 register, offset:0x00 + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t clkpha : 1; /* [0] */ + __IO uint32_t clkpol : 1; /* [1] */ + __IO uint32_t msten : 1; /* [2] */ + __IO uint32_t mdiv_l : 3; /* [5:3] */ + __IO uint32_t spien : 1; /* [6] */ + __IO uint32_t ltf : 1; /* [7] */ + __IO uint32_t swcsil : 1; /* [8] */ + __IO uint32_t swcsen : 1; /* [9] */ + __IO uint32_t ora : 1; /* [10] */ + __IO uint32_t fbn : 1; /* [11] */ + __IO uint32_t ntc : 1; /* [12] */ + __IO uint32_t ccen : 1; /* [13] */ + __IO uint32_t slbtd : 1; /* [14] */ + __IO uint32_t slben : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } ctrl1_bit; + }; + + /** + * @brief spi ctrl2 register, offset:0x04 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t dmaren : 1; /* [0] */ + __IO uint32_t dmaten : 1; /* [1] */ + __IO uint32_t hwcsoe : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t tien : 1; /* [4] */ + __IO uint32_t errie : 1; /* [5] */ + __IO uint32_t rdbfie : 1; /* [6] */ + __IO uint32_t tdbeie : 1; /* [7] */ + __IO uint32_t mdiv_h : 1; /* [8] */ + __IO uint32_t mdiv3en : 1; /* [9] */ + __IO uint32_t reserved2 : 22;/* [31:10] */ + } ctrl2_bit; + }; + + /** + * @brief spi sts register, offset:0x08 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t rdbf : 1; /* [0] */ + __IO uint32_t tdbe : 1; /* [1] */ + __IO uint32_t acs : 1; /* [2] */ + __IO uint32_t tuerr : 1; /* [3] */ + __IO uint32_t ccerr : 1; /* [4] */ + __IO uint32_t mmerr : 1; /* [5] */ + __IO uint32_t roerr : 1; /* [6] */ + __IO uint32_t bf : 1; /* [7] */ + __IO uint32_t cspas : 1; /* [8] */ + __IO uint32_t reserved1 : 23;/* [31:9] */ + } sts_bit; + }; + + /** + * @brief spi dt register, offset:0x0C + */ + union + { + __IO uint32_t dt; + struct + { + __IO uint32_t dt : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } dt_bit; + }; + + /** + * @brief spi cpoly register, offset:0x10 + */ + union + { + __IO uint32_t cpoly; + struct + { + __IO uint32_t cpoly : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cpoly_bit; + }; + + /** + * @brief spi rcrc register, offset:0x14 + */ + union + { + __IO uint32_t rcrc; + struct + { + __IO uint32_t rcrc : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } rcrc_bit; + }; + + /** + * @brief spi tcrc register, offset:0x18 + */ + union + { + __IO uint32_t tcrc; + struct + { + __IO uint32_t tcrc : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } tcrc_bit; + }; + + /** + * @brief spi i2sctrl register, offset:0x1C + */ + union + { + __IO uint32_t i2sctrl; + struct + { + __IO uint32_t i2scbn : 1; /* [0] */ + __IO uint32_t i2sdbn : 2; /* [2:1] */ + __IO uint32_t i2sclkpol : 1; /* [3] */ + __IO uint32_t stdsel : 2; /* [5:4] */ + __IO uint32_t reserved1 : 1; /* [6] */ + __IO uint32_t pcmfssel : 1; /* [7] */ + __IO uint32_t opersel : 2; /* [9:8] */ + __IO uint32_t i2sen : 1; /* [10] */ + __IO uint32_t i2smsel : 1; /* [11] */ + __IO uint32_t reserved2 : 20;/* [31:12] */ + } i2sctrl_bit; + }; + + /** + * @brief spi i2sclk register, offset:0x20 + */ + union + { + __IO uint32_t i2sclk; + struct + { + __IO uint32_t i2sdiv_l : 8; /* [7:0] */ + __IO uint32_t i2sodd : 1; /* [8] */ + __IO uint32_t i2smclkoe : 1; /* [9] */ + __IO uint32_t i2sdiv_h : 2; /* [11:10] */ + __IO uint32_t reserved1 : 20;/* [31:12] */ + } i2sclk_bit; + }; + +} spi_type; + +/** + * @} + */ + +#define SPI1 ((spi_type *) SPI1_BASE) +#define SPI2 ((spi_type *) SPI2_BASE) +#define SPI3 ((spi_type *) SPI3_BASE) + +/** @defgroup SPI_exported_functions + * @{ + */ + +void spi_i2s_reset(spi_type *spi_x); +void spi_default_para_init(spi_init_type* spi_init_struct); +void spi_init(spi_type* spi_x, spi_init_type* spi_init_struct); +void spi_ti_mode_enable(spi_type* spi_x, confirm_state new_state); +void spi_crc_next_transmit(spi_type* spi_x); +void spi_crc_polynomial_set(spi_type* spi_x, uint16_t crc_poly); +uint16_t spi_crc_polynomial_get(spi_type* spi_x); +void spi_crc_enable(spi_type* spi_x, confirm_state new_state); +uint16_t spi_crc_value_get(spi_type* spi_x, spi_crc_direction_type crc_direction); +void spi_hardware_cs_output_enable(spi_type* spi_x, confirm_state new_state); +void spi_software_cs_internal_level_set(spi_type* spi_x, spi_software_cs_level_type level); +void spi_frame_bit_num_set(spi_type* spi_x, spi_frame_bit_num_type bit_num); +void spi_half_duplex_direction_set(spi_type* spi_x, spi_half_duplex_direction_type direction); +void spi_enable(spi_type* spi_x, confirm_state new_state); +void i2s_default_para_init(i2s_init_type* i2s_init_struct); +void i2s_init(spi_type* spi_x, i2s_init_type* i2s_init_struct); +void i2s_enable(spi_type* spi_x, confirm_state new_state); +void spi_i2s_interrupt_enable(spi_type* spi_x, uint32_t spi_i2s_int, confirm_state new_state); +void spi_i2s_dma_transmitter_enable(spi_type* spi_x, confirm_state new_state); +void spi_i2s_dma_receiver_enable(spi_type* spi_x, confirm_state new_state); +void spi_i2s_data_transmit(spi_type* spi_x, uint16_t tx_data); +uint16_t spi_i2s_data_receive(spi_type* spi_x); +flag_status spi_i2s_flag_get(spi_type* spi_x, uint32_t spi_i2s_flag); +flag_status spi_i2s_interrupt_flag_get(spi_type* spi_x, uint32_t spi_i2s_flag); +void spi_i2s_flag_clear(spi_type* spi_x, uint32_t spi_i2s_flag); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_tmr.h b/Firmware/drivers/inc/at32a423_tmr.h new file mode 100644 index 0000000..a68e26b --- /dev/null +++ b/Firmware/drivers/inc/at32a423_tmr.h @@ -0,0 +1,966 @@ +/** + ************************************************************************** + * @file at32a423_tmr.h + * @brief at32a423 tmr header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_TMR_H +#define __AT32A423_TMR_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup TMR + * @{ + */ + +/** @defgroup TMR_flags_definition + * @brief tmr flag + * @{ + */ + +#define TMR_OVF_FLAG ((uint32_t)0x000001) /*!< tmr flag overflow */ +#define TMR_C1_FLAG ((uint32_t)0x000002) /*!< tmr flag channel 1 */ +#define TMR_C2_FLAG ((uint32_t)0x000004) /*!< tmr flag channel 2 */ +#define TMR_C3_FLAG ((uint32_t)0x000008) /*!< tmr flag channel 3 */ +#define TMR_C4_FLAG ((uint32_t)0x000010) /*!< tmr flag channel 4 */ +#define TMR_C5_FLAG ((uint32_t)0x010000) /*!< tmr flag channel 5 */ +#define TMR_HALL_FLAG ((uint32_t)0x000020) /*!< tmr flag hall */ +#define TMR_TRIGGER_FLAG ((uint32_t)0x000040) /*!< tmr flag trigger */ +#define TMR_BRK_FLAG ((uint32_t)0x000080) /*!< tmr flag brake */ +#define TMR_C1_RECAPTURE_FLAG ((uint32_t)0x000200) /*!< tmr flag channel 1 recapture */ +#define TMR_C2_RECAPTURE_FLAG ((uint32_t)0x000400) /*!< tmr flag channel 2 recapture */ +#define TMR_C3_RECAPTURE_FLAG ((uint32_t)0x000800) /*!< tmr flag channel 3 recapture */ +#define TMR_C4_RECAPTURE_FLAG ((uint32_t)0x001000) /*!< tmr flag channel 4 recapture */ + +/** + * @} + */ + +/** @defgroup TMR_interrupt_select_type_definition + * @brief tmr interrupt select type + * @{ + */ + +#define TMR_OVF_INT ((uint32_t)0x000001) /*!< tmr interrupt overflow */ +#define TMR_C1_INT ((uint32_t)0x000002) /*!< tmr interrupt channel 1 */ +#define TMR_C2_INT ((uint32_t)0x000004) /*!< tmr interrupt channel 2 */ +#define TMR_C3_INT ((uint32_t)0x000008) /*!< tmr interrupt channel 3 */ +#define TMR_C4_INT ((uint32_t)0x000010) /*!< tmr interrupt channel 4 */ +#define TMR_HALL_INT ((uint32_t)0x000020) /*!< tmr interrupt hall */ +#define TMR_TRIGGER_INT ((uint32_t)0x000040) /*!< tmr interrupt trigger */ +#define TMR_BRK_INT ((uint32_t)0x000080) /*!< tmr interrupt brake */ + +/** + * @} + */ + +/** @defgroup TMR_exported_types + * @{ + */ + +/** + * @brief tmr clock division type + */ +typedef enum +{ + TMR_CLOCK_DIV1 = 0x00, /*!< tmr clock division 1 */ + TMR_CLOCK_DIV2 = 0x01, /*!< tmr clock division 2 */ + TMR_CLOCK_DIV4 = 0x02 /*!< tmr clock division 4 */ +} tmr_clock_division_type; + +/** + * @brief tmr counter mode type + */ +typedef enum +{ + TMR_COUNT_UP = 0x00, /*!< tmr counter mode up */ + TMR_COUNT_DOWN = 0x01, /*!< tmr counter mode down */ + TMR_COUNT_TWO_WAY_1 = 0x02, /*!< tmr counter mode two way 1 */ + TMR_COUNT_TWO_WAY_2 = 0x04, /*!< tmr counter mode two way 2 */ + TMR_COUNT_TWO_WAY_3 = 0x06 /*!< tmr counter mode two way 3 */ +} tmr_count_mode_type; + +/** + * @brief tmr primary mode select type + */ +typedef enum +{ + TMR_PRIMARY_SEL_RESET = 0x00, /*!< tmr primary mode select reset */ + TMR_PRIMARY_SEL_ENABLE = 0x01, /*!< tmr primary mode select enable */ + TMR_PRIMARY_SEL_OVERFLOW = 0x02, /*!< tmr primary mode select overflow */ + TMR_PRIMARY_SEL_COMPARE = 0x03, /*!< tmr primary mode select compare */ + TMR_PRIMARY_SEL_C1ORAW = 0x04, /*!< tmr primary mode select c1oraw */ + TMR_PRIMARY_SEL_C2ORAW = 0x05, /*!< tmr primary mode select c2oraw */ + TMR_PRIMARY_SEL_C3ORAW = 0x06, /*!< tmr primary mode select c3oraw */ + TMR_PRIMARY_SEL_C4ORAW = 0x07 /*!< tmr primary mode select c4oraw */ +} tmr_primary_select_type; + +/** + * @brief tmr subordinate mode input select type + */ +typedef enum +{ + TMR_SUB_INPUT_SEL_IS0 = 0x00, /*!< subordinate mode input select is0 */ + TMR_SUB_INPUT_SEL_IS1 = 0x01, /*!< subordinate mode input select is1 */ + TMR_SUB_INPUT_SEL_IS2 = 0x02, /*!< subordinate mode input select is2 */ + TMR_SUB_INPUT_SEL_IS3 = 0x03, /*!< subordinate mode input select is3 */ + TMR_SUB_INPUT_SEL_C1INC = 0x04, /*!< subordinate mode input select c1inc */ + TMR_SUB_INPUT_SEL_C1DF1 = 0x05, /*!< subordinate mode input select c1df1 */ + TMR_SUB_INPUT_SEL_C2DF2 = 0x06, /*!< subordinate mode input select c2df2 */ + TMR_SUB_INPUT_SEL_EXTIN = 0x07 /*!< subordinate mode input select extin */ +} sub_tmr_input_sel_type; + +/** + * @brief tmr subordinate mode select type + */ +typedef enum +{ + TMR_SUB_MODE_DIABLE = 0x00, /*!< subordinate mode disable */ + TMR_SUB_ENCODER_MODE_A = 0x01, /*!< subordinate mode select encoder mode a */ + TMR_SUB_ENCODER_MODE_B = 0x02, /*!< subordinate mode select encoder mode b */ + TMR_SUB_ENCODER_MODE_C = 0x03, /*!< subordinate mode select encoder mode c */ + TMR_SUB_RESET_MODE = 0x04, /*!< subordinate mode select reset */ + TMR_SUB_HANG_MODE = 0x05, /*!< subordinate mode select hang */ + TMR_SUB_TRIGGER_MODE = 0x06, /*!< subordinate mode select trigger */ + TMR_SUB_EXTERNAL_CLOCK_MODE_A = 0x07 /*!< subordinate mode external clock mode a */ +} tmr_sub_mode_select_type; + +/** + * @brief tmr encoder mode type + */ +typedef enum +{ + TMR_ENCODER_MODE_A = TMR_SUB_ENCODER_MODE_A, /*!< tmr encoder mode a */ + TMR_ENCODER_MODE_B = TMR_SUB_ENCODER_MODE_B, /*!< tmr encoder mode b */ + TMR_ENCODER_MODE_C = TMR_SUB_ENCODER_MODE_C /*!< tmr encoder mode c */ +} tmr_encoder_mode_type; + +/** + * @brief tmr output control mode type + */ +typedef enum +{ + TMR_OUTPUT_CONTROL_OFF = 0x00, /*!< tmr output control mode off */ + TMR_OUTPUT_CONTROL_HIGH = 0x01, /*!< tmr output control mode high */ + TMR_OUTPUT_CONTROL_LOW = 0x02, /*!< tmr output control mode low */ + TMR_OUTPUT_CONTROL_SWITCH = 0x03, /*!< tmr output control mode switch */ + TMR_OUTPUT_CONTROL_FORCE_LOW = 0x04, /*!< tmr output control mode force low */ + TMR_OUTPUT_CONTROL_FORCE_HIGH = 0x05, /*!< tmr output control mode force high */ + TMR_OUTPUT_CONTROL_PWM_MODE_A = 0x06, /*!< tmr output control mode pwm a */ + TMR_OUTPUT_CONTROL_PWM_MODE_B = 0x07 /*!< tmr output control mode pwm b */ +} tmr_output_control_mode_type; + +/** + * @brief tmr force output type + */ +typedef enum +{ + TMR_FORCE_OUTPUT_HIGH = TMR_OUTPUT_CONTROL_FORCE_HIGH, /*!< tmr force output high */ + TMR_FORCE_OUTPUT_LOW = TMR_OUTPUT_CONTROL_FORCE_LOW /*!< tmr force output low */ +} tmr_force_output_type; + +/** + * @brief tmr output channel polarity type + */ +typedef enum +{ + TMR_OUTPUT_ACTIVE_HIGH = 0x00, /*!< tmr output channel polarity high */ + TMR_OUTPUT_ACTIVE_LOW = 0x01 /*!< tmr output channel polarity low */ +} tmr_output_polarity_type; + +/** + * @brief tmr input channel polarity type + */ +typedef enum +{ + TMR_INPUT_RISING_EDGE = 0x00, /*!< tmr input channel polarity rising */ + TMR_INPUT_FALLING_EDGE = 0x01, /*!< tmr input channel polarity falling */ + TMR_INPUT_BOTH_EDGE = 0x03 /*!< tmr input channel polarity both edge */ +} tmr_input_polarity_type; + +/** + * @brief tmr channel select type + */ +typedef enum +{ + TMR_SELECT_CHANNEL_1 = 0x00, /*!< tmr channel select channel 1 */ + TMR_SELECT_CHANNEL_1C = 0x01, /*!< tmr channel select channel 1 complementary */ + TMR_SELECT_CHANNEL_2 = 0x02, /*!< tmr channel select channel 2 */ + TMR_SELECT_CHANNEL_2C = 0x03, /*!< tmr channel select channel 2 complementary */ + TMR_SELECT_CHANNEL_3 = 0x04, /*!< tmr channel select channel 3 */ + TMR_SELECT_CHANNEL_3C = 0x05, /*!< tmr channel select channel 3 complementary */ + TMR_SELECT_CHANNEL_4 = 0x06 /*!< tmr channel select channel 4 */ +} tmr_channel_select_type; + +/** + * @brief tmr channel1 input connected type + */ +typedef enum +{ + TMR_CHANEL1_CONNECTED_C1IRAW = 0x00, /*!< channel1 pins is only connected to C1IRAW input */ + TMR_CHANEL1_2_3_CONNECTED_C1IRAW_XOR = 0x01 /*!< channel1/2/3 pins are connected to C1IRAW input after xored */ +} tmr_channel1_input_connected_type; + +/** + * @brief tmr input channel mapped type channel direction + */ +typedef enum +{ + TMR_CC_CHANNEL_MAPPED_DIRECT = 0x01, /*!< channel is configured as input, mapped direct */ + TMR_CC_CHANNEL_MAPPED_INDIRECT = 0x02, /*!< channel is configured as input, mapped indirect */ + TMR_CC_CHANNEL_MAPPED_STI = 0x03 /*!< channel is configured as input, mapped trc */ +} tmr_input_direction_mapped_type; + +/** + * @brief tmr input divider type + */ +typedef enum +{ + TMR_CHANNEL_INPUT_DIV_1 = 0x00, /*!< tmr channel input divider 1 */ + TMR_CHANNEL_INPUT_DIV_2 = 0x01, /*!< tmr channel input divider 2 */ + TMR_CHANNEL_INPUT_DIV_4 = 0x02, /*!< tmr channel input divider 4 */ + TMR_CHANNEL_INPUT_DIV_8 = 0x03 /*!< tmr channel input divider 8 */ +} tmr_channel_input_divider_type; + +/** + * @brief tmr dma request source select type + */ +typedef enum +{ + TMR_DMA_REQUEST_BY_CHANNEL = 0x00, /*!< tmr dma request source select channel */ + TMR_DMA_REQUEST_BY_OVERFLOW = 0x01 /*!< tmr dma request source select overflow */ +} tmr_dma_request_source_type; + +/** + * @brief tmr dma request type + */ +typedef enum +{ + TMR_OVERFLOW_DMA_REQUEST = 0x00000100, /*!< tmr dma request select overflow */ + TMR_C1_DMA_REQUEST = 0x00000200, /*!< tmr dma request select channel 1 */ + TMR_C2_DMA_REQUEST = 0x00000400, /*!< tmr dma request select channel 2 */ + TMR_C3_DMA_REQUEST = 0x00000800, /*!< tmr dma request select channel 3 */ + TMR_C4_DMA_REQUEST = 0x00001000, /*!< tmr dma request select channel 4 */ + TMR_HALL_DMA_REQUEST = 0x00002000, /*!< tmr dma request select hall */ + TMR_TRIGGER_DMA_REQUEST = 0x00004000 /*!< tmr dma request select trigger */ +} tmr_dma_request_type; + +/** + * @brief tmr event triggered by software type + */ +typedef enum +{ + TMR_OVERFLOW_SWTRIG = 0x00000001, /*!< tmr event triggered by software of overflow */ + TMR_C1_SWTRIG = 0x00000002, /*!< tmr event triggered by software of channel 1 */ + TMR_C2_SWTRIG = 0x00000004, /*!< tmr event triggered by software of channel 2 */ + TMR_C3_SWTRIG = 0x00000008, /*!< tmr event triggered by software of channel 3 */ + TMR_C4_SWTRIG = 0x00000010, /*!< tmr event triggered by software of channel 4 */ + TMR_HALL_SWTRIG = 0x00000020, /*!< tmr event triggered by software of hall */ + TMR_TRIGGER_SWTRIG = 0x00000040, /*!< tmr event triggered by software of trigger */ + TMR_BRK_SWTRIG = 0x00000080 /*!< tmr event triggered by software of brake */ +}tmr_event_trigger_type; + +/** + * @brief tmr polarity active type + */ +typedef enum +{ + TMR_POLARITY_ACTIVE_HIGH = 0x00, /*!< tmr polarity active high */ + TMR_POLARITY_ACTIVE_LOW = 0x01, /*!< tmr polarity active low */ + TMR_POLARITY_ACTIVE_BOTH = 0x02 /*!< tmr polarity active both high ande low */ +}tmr_polarity_active_type; + +/** + * @brief tmr external signal divider type + */ +typedef enum +{ + TMR_ES_FREQUENCY_DIV_1 = 0x00, /*!< tmr external signal frequency divider 1 */ + TMR_ES_FREQUENCY_DIV_2 = 0x01, /*!< tmr external signal frequency divider 2 */ + TMR_ES_FREQUENCY_DIV_4 = 0x02, /*!< tmr external signal frequency divider 4 */ + TMR_ES_FREQUENCY_DIV_8 = 0x03 /*!< tmr external signal frequency divider 8 */ +}tmr_external_signal_divider_type; + +/** + * @brief tmr external signal polarity type + */ +typedef enum +{ + TMR_ES_POLARITY_NON_INVERTED = 0x00, /*!< tmr external signal polarity non-inerted */ + TMR_ES_POLARITY_INVERTED = 0x01 /*!< tmr external signal polarity inerted */ +}tmr_external_signal_polarity_type; + +/** + * @brief tmr dma transfer length type + */ +typedef enum +{ + TMR_DMA_TRANSFER_1BYTE = 0x00, /*!< tmr dma transfer length 1 byte */ + TMR_DMA_TRANSFER_2BYTES = 0x01, /*!< tmr dma transfer length 2 bytes */ + TMR_DMA_TRANSFER_3BYTES = 0x02, /*!< tmr dma transfer length 3 bytes */ + TMR_DMA_TRANSFER_4BYTES = 0x03, /*!< tmr dma transfer length 4 bytes */ + TMR_DMA_TRANSFER_5BYTES = 0x04, /*!< tmr dma transfer length 5 bytes */ + TMR_DMA_TRANSFER_6BYTES = 0x05, /*!< tmr dma transfer length 6 bytes */ + TMR_DMA_TRANSFER_7BYTES = 0x06, /*!< tmr dma transfer length 7 bytes */ + TMR_DMA_TRANSFER_8BYTES = 0x07, /*!< tmr dma transfer length 8 bytes */ + TMR_DMA_TRANSFER_9BYTES = 0x08, /*!< tmr dma transfer length 9 bytes */ + TMR_DMA_TRANSFER_10BYTES = 0x09, /*!< tmr dma transfer length 10 bytes */ + TMR_DMA_TRANSFER_11BYTES = 0x0A, /*!< tmr dma transfer length 11 bytes */ + TMR_DMA_TRANSFER_12BYTES = 0x0B, /*!< tmr dma transfer length 12 bytes */ + TMR_DMA_TRANSFER_13BYTES = 0x0C, /*!< tmr dma transfer length 13 bytes */ + TMR_DMA_TRANSFER_14BYTES = 0x0D, /*!< tmr dma transfer length 14 bytes */ + TMR_DMA_TRANSFER_15BYTES = 0x0E, /*!< tmr dma transfer length 15 bytes */ + TMR_DMA_TRANSFER_16BYTES = 0x0F, /*!< tmr dma transfer length 16 bytes */ + TMR_DMA_TRANSFER_17BYTES = 0x10, /*!< tmr dma transfer length 17 bytes */ + TMR_DMA_TRANSFER_18BYTES = 0x11 /*!< tmr dma transfer length 18 bytes */ +}tmr_dma_transfer_length_type; + +/** + * @brief tmr dma base address type + */ +typedef enum +{ + TMR_CTRL1_ADDRESS = 0x0000, /*!< tmr dma base address ctrl1 */ + TMR_CTRL2_ADDRESS = 0x0001, /*!< tmr dma base address ctrl2 */ + TMR_STCTRL_ADDRESS = 0x0002, /*!< tmr dma base address stctrl */ + TMR_IDEN_ADDRESS = 0x0003, /*!< tmr dma base address iden */ + TMR_ISTS_ADDRESS = 0x0004, /*!< tmr dma base address ists */ + TMR_SWEVT_ADDRESS = 0x0005, /*!< tmr dma base address swevt */ + TMR_CM1_ADDRESS = 0x0006, /*!< tmr dma base address cm1 */ + TMR_CM2_ADDRESS = 0x0007, /*!< tmr dma base address cm2 */ + TMR_CCTRL_ADDRESS = 0x0008, /*!< tmr dma base address cctrl */ + TMR_CVAL_ADDRESS = 0x0009, /*!< tmr dma base address cval */ + TMR_DIV_ADDRESS = 0x000A, /*!< tmr dma base address div */ + TMR_PR_ADDRESS = 0x000B, /*!< tmr dma base address pr */ + TMR_RPR_ADDRESS = 0x000C, /*!< tmr dma base address rpr */ + TMR_C1DT_ADDRESS = 0x000D, /*!< tmr dma base address c1dt */ + TMR_C2DT_ADDRESS = 0x000E, /*!< tmr dma base address c2dt */ + TMR_C3DT_ADDRESS = 0x000F, /*!< tmr dma base address c3dt */ + TMR_C4DT_ADDRESS = 0x0010, /*!< tmr dma base address c4dt */ + TMR_BRK_ADDRESS = 0x0011, /*!< tmr dma base address brake */ + TMR_DMACTRL_ADDRESS = 0x0012 /*!< tmr dma base address dmactrl */ +}tmr_dma_address_type; + +/** + * @brief tmr brk polarity type + */ +typedef enum +{ + TMR_BRK_INPUT_ACTIVE_LOW = 0x00, /*!< tmr brk input channel active low */ + TMR_BRK_INPUT_ACTIVE_HIGH = 0x01 /*!< tmr brk input channel active high */ +}tmr_brk_polarity_type; + +/** + * @brief tmr write protect level type + */ +typedef enum +{ + TMR_WP_OFF = 0x00, /*!< tmr write protect off */ + TMR_WP_LEVEL_3 = 0x01, /*!< tmr write protect level 3 */ + TMR_WP_LEVEL_2 = 0x02, /*!< tmr write protect level 2 */ + TMR_WP_LEVEL_1 = 0x03 /*!< tmr write protect level 1 */ +}tmr_wp_level_type; + +/** + * @brief tmr input remap type + */ +typedef enum +{ + TMR14_GPIO = 0x00, /*!< tmr14 input remap to gpio */ + TMR14_ERTCCLK = 0x01, /*!< tmr14 input remap to ertc clock */ + TMR14_HEXT_DIV32 = 0x02, /*!< tmr14 input remap to hext div32*/ + TMR14_CLKOUT = 0x03 /*!< tmr14 input remap to clkout */ +}tmr_input_remap_type ; +/** + + * @brief tmr output config type + */ +typedef struct +{ + tmr_output_control_mode_type oc_mode; /*!< output channel mode */ + confirm_state oc_idle_state; /*!< output channel idle state */ + confirm_state occ_idle_state; /*!< output channel complementary idle state */ + tmr_output_polarity_type oc_polarity; /*!< output channel polarity */ + tmr_output_polarity_type occ_polarity; /*!< output channel complementary polarity */ + confirm_state oc_output_state; /*!< output channel enable */ + confirm_state occ_output_state; /*!< output channel complementary enable */ +} tmr_output_config_type; + +/** + * @brief tmr input capture config type + */ +typedef struct +{ + tmr_channel_select_type input_channel_select; /*!< tmr input channel select */ + tmr_input_polarity_type input_polarity_select; /*!< tmr input polarity select */ + tmr_input_direction_mapped_type input_mapped_select; /*!< tmr channel mapped direct or indirect */ + uint8_t input_filter_value; /*!< tmr channel filter value */ +} tmr_input_config_type; + +/** + * @brief tmr brkdt config type + */ +typedef struct +{ + uint8_t deadtime; /*!< dead-time generator setup */ + tmr_brk_polarity_type brk_polarity; /*!< tmr brake polarity */ + tmr_wp_level_type wp_level; /*!< write protect configuration */ + confirm_state auto_output_enable; /*!< automatic output enable */ + confirm_state fcsoen_state; /*!< frozen channel status when output enable */ + confirm_state fcsodis_state; /*!< frozen channel status when output disable */ + confirm_state brk_enable; /*!< tmr brk enale */ +} tmr_brkdt_config_type; + +/** + * @brief type define tmr register all + */ +typedef struct +{ + /** + * @brief tmr ctrl1 register, offset:0x00 + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t tmren : 1; /* [0] */ + __IO uint32_t ovfen : 1; /* [1] */ + __IO uint32_t ovfs : 1; /* [2] */ + __IO uint32_t ocmen : 1; /* [3] */ + __IO uint32_t cnt_dir : 3; /* [6:4] */ + __IO uint32_t prben : 1; /* [7] */ + __IO uint32_t clkdiv : 2; /* [9:8] */ + __IO uint32_t pmen : 1; /* [10] */ + __IO uint32_t reserved1 : 21;/* [31:11] */ + } ctrl1_bit; + }; + + /** + * @brief tmr ctrl2 register, offset:0x04 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t cbctrl : 1; /* [0] */ + __IO uint32_t reserved1 : 1; /* [1] */ + __IO uint32_t ccfs : 1; /* [2] */ + __IO uint32_t drs : 1; /* [3] */ + __IO uint32_t ptos : 3; /* [6:4] */ + __IO uint32_t c1insel : 1; /* [7] */ + __IO uint32_t c1ios : 1; /* [8] */ + __IO uint32_t c1cios : 1; /* [9] */ + __IO uint32_t c2ios : 1; /* [10] */ + __IO uint32_t c2cios : 1; /* [11] */ + __IO uint32_t c3ios : 1; /* [12] */ + __IO uint32_t c3cios : 1; /* [13] */ + __IO uint32_t c4ios : 1; /* [14] */ + __IO uint32_t reserved2 : 16;/* [30:15] */ + __IO uint32_t trgout2en : 1; /* [31] */ + } ctrl2_bit; + }; + + /** + * @brief tmr smc register, offset:0x08 + */ + union + { + __IO uint32_t stctrl; + struct + { + __IO uint32_t smsel : 3; /* [2:0] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t stis : 3; /* [6:4] */ + __IO uint32_t sts : 1; /* [7] */ + __IO uint32_t esf : 4; /* [11:8] */ + __IO uint32_t esdiv : 2; /* [13:12] */ + __IO uint32_t ecmben : 1; /* [14] */ + __IO uint32_t esp : 1; /* [15] */ + __IO uint32_t reserved2 : 16;/* [31:16] */ + } stctrl_bit; + }; + + /** + * @brief tmr die register, offset:0x0C + */ + union + { + __IO uint32_t iden; + struct + { + __IO uint32_t ovfien : 1; /* [0] */ + __IO uint32_t c1ien : 1; /* [1] */ + __IO uint32_t c2ien : 1; /* [2] */ + __IO uint32_t c3ien : 1; /* [3] */ + __IO uint32_t c4ien : 1; /* [4] */ + __IO uint32_t hallien : 1; /* [5] */ + __IO uint32_t tien : 1; /* [6] */ + __IO uint32_t brkie : 1; /* [7] */ + __IO uint32_t ovfden : 1; /* [8] */ + __IO uint32_t c1den : 1; /* [9] */ + __IO uint32_t c2den : 1; /* [10] */ + __IO uint32_t c3den : 1; /* [11] */ + __IO uint32_t c4den : 1; /* [12] */ + __IO uint32_t hallde : 1; /* [13] */ + __IO uint32_t tden : 1; /* [14] */ + __IO uint32_t reserved1 : 17;/* [31:15] */ + } iden_bit; + }; + + /** + * @brief tmr ists register, offset:0x10 + */ + union + { + __IO uint32_t ists; + struct + { + __IO uint32_t ovfif : 1; /* [0] */ + __IO uint32_t c1if : 1; /* [1] */ + __IO uint32_t c2if : 1; /* [2] */ + __IO uint32_t c3if : 1; /* [3] */ + __IO uint32_t c4if : 1; /* [4] */ + __IO uint32_t hallif : 1; /* [5] */ + __IO uint32_t trgif : 1; /* [6] */ + __IO uint32_t brkif : 1; /* [7] */ + __IO uint32_t reserved1 : 1; /* [8] */ + __IO uint32_t c1rf : 1; /* [9] */ + __IO uint32_t c2rf : 1; /* [10] */ + __IO uint32_t c3rf : 1; /* [11] */ + __IO uint32_t c4rf : 1; /* [12] */ + __IO uint32_t reserved2 : 19;/* [31:13] */ + } ists_bit; + }; + + /** + * @brief tmr eveg register, offset:0x14 + */ + union + { + __IO uint32_t swevt; + struct + { + __IO uint32_t ovfswtr : 1; /* [0] */ + __IO uint32_t c1swtr : 1; /* [1] */ + __IO uint32_t c2swtr : 1; /* [2] */ + __IO uint32_t c3swtr : 1; /* [3] */ + __IO uint32_t c4swtr : 1; /* [4] */ + __IO uint32_t hallswtr : 1; /* [5] */ + __IO uint32_t trgswtr : 1; /* [6] */ + __IO uint32_t brkswtr : 1; /* [7] */ + __IO uint32_t reserved : 24;/* [31:8] */ + } swevt_bit; + }; + + /** + * @brief tmr ccm1 register, offset:0x18 + */ + union + { + __IO uint32_t cm1; + + /** + * @brief channel mode + */ + struct + { + __IO uint32_t c1c : 2; /* [1:0] */ + __IO uint32_t c1oien : 1; /* [2] */ + __IO uint32_t c1oben : 1; /* [3] */ + __IO uint32_t c1octrl : 3; /* [6:4] */ + __IO uint32_t c1osen : 1; /* [7] */ + __IO uint32_t c2c : 2; /* [9:8] */ + __IO uint32_t c2oien : 1; /* [10] */ + __IO uint32_t c2oben : 1; /* [11] */ + __IO uint32_t c2octrl : 3; /* [14:12] */ + __IO uint32_t c2osen : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cm1_output_bit; + + /** + * @brief input capture mode + */ + struct + { + __IO uint32_t c1c : 2; /* [1:0] */ + __IO uint32_t c1idiv : 2; /* [3:2] */ + __IO uint32_t c1df : 4; /* [7:4] */ + __IO uint32_t c2c : 2; /* [9:8] */ + __IO uint32_t c2idiv : 2; /* [11:10] */ + __IO uint32_t c2df : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cm1_input_bit; + }; + + /** + * @brief tmr ccm2 register, offset:0x1C + */ + union + { + __IO uint32_t cm2; + + /** + * @brief channel mode + */ + struct + { + __IO uint32_t c3c : 2; /* [1:0] */ + __IO uint32_t c3oien : 1; /* [2] */ + __IO uint32_t c3oben : 1; /* [3] */ + __IO uint32_t c3octrl : 3; /* [6:4] */ + __IO uint32_t c3osen : 1; /* [7] */ + __IO uint32_t c4c : 2; /* [9:8] */ + __IO uint32_t c4oien : 1; /* [10] */ + __IO uint32_t c4oben : 1; /* [11] */ + __IO uint32_t c4octrl : 3; /* [14:12] */ + __IO uint32_t c4osen : 1; /* [15] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cm2_output_bit; + + /** + * @brief input capture mode + */ + struct + { + __IO uint32_t c3c : 2; /* [1:0] */ + __IO uint32_t c3idiv : 2; /* [3:2] */ + __IO uint32_t c3df : 4; /* [7:4] */ + __IO uint32_t c4c : 2; /* [9:8] */ + __IO uint32_t c4idiv : 2; /* [11:10] */ + __IO uint32_t c4df : 4; /* [15:12] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cm2_input_bit; + }; + + /** + * @brief tmr cce register, offset:0x20 + */ + union + { + uint32_t cctrl; + struct + { + __IO uint32_t c1en : 1; /* [0] */ + __IO uint32_t c1p : 1; /* [1] */ + __IO uint32_t c1cen : 1; /* [2] */ + __IO uint32_t c1cp : 1; /* [3] */ + __IO uint32_t c2en : 1; /* [4] */ + __IO uint32_t c2p : 1; /* [5] */ + __IO uint32_t c2cen : 1; /* [6] */ + __IO uint32_t c2cp : 1; /* [7] */ + __IO uint32_t c3en : 1; /* [8] */ + __IO uint32_t c3p : 1; /* [9] */ + __IO uint32_t c3cen : 1; /* [10] */ + __IO uint32_t c3cp : 1; /* [11] */ + __IO uint32_t c4en : 1; /* [12] */ + __IO uint32_t c4p : 1; /* [13] */ + __IO uint32_t reserved1 : 18;/* [31:14] */ + } cctrl_bit; + }; + + /** + * @brief tmr cnt register, offset:0x24 + */ + union + { + __IO uint32_t cval; + struct + { + __IO uint32_t cval : 32;/* [31:0] */ + } cval_bit; + }; + + /** + * @brief tmr div, offset:0x28 + */ + union + { + __IO uint32_t div; + struct + { + __IO uint32_t div : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } div_bit; + }; + + /** + * @brief tmr pr register, offset:0x2C + */ + union + { + __IO uint32_t pr; + struct + { + __IO uint32_t pr : 32;/* [31:0] */ + } pr_bit; + }; + + /** + * @brief tmr rpr register, offset:0x30 + */ + union + { + __IO uint32_t rpr; + struct + { + __IO uint32_t rpr : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } rpr_bit; + }; + + /** + * @brief tmr c1dt register, offset:0x34 + */ + union + { + uint32_t c1dt; + struct + { + __IO uint32_t c1dt : 32;/* [31:0] */ + } c1dt_bit; + }; + + /** + * @brief tmr c2dt register, offset:0x38 + */ + union + { + uint32_t c2dt; + struct + { + __IO uint32_t c2dt : 32;/* [31:0] */ + } c2dt_bit; + }; + + /** + * @brief tmr c3dt register, offset:0x3C + */ + union + { + __IO uint32_t c3dt; + struct + { + __IO uint32_t c3dt : 32;/* [31:0] */ + } c3dt_bit; + }; + + /** + * @brief tmr c4dt register, offset:0x40 + */ + union + { + __IO uint32_t c4dt; + struct + { + __IO uint32_t c4dt : 32;/* [31:0] */ + } c4dt_bit; + }; + + /** + * @brief tmr brk register, offset:0x44 + */ + union + { + __IO uint32_t brk; + struct + { + __IO uint32_t dtc : 8; /* [7:0] */ + __IO uint32_t wpc : 2; /* [9:8] */ + __IO uint32_t fcsodis : 1; /* [10] */ + __IO uint32_t fcsoen : 1; /* [11] */ + __IO uint32_t brken : 1; /* [12] */ + __IO uint32_t brkv : 1; /* [13] */ + __IO uint32_t aoen : 1; /* [14] */ + __IO uint32_t oen : 1; /* [15] */ + __IO uint32_t bkf : 4; /* [19:16] */ + __IO uint32_t reserved1 : 12;/* [31:20] */ + } brk_bit; + }; + /** + * @brief tmr dmactrl register, offset:0x48 + */ + union + { + __IO uint32_t dmactrl; + struct + { + __IO uint32_t addr : 5; /* [4:0] */ + __IO uint32_t reserved1 : 3; /* [7:5] */ + __IO uint32_t dtb : 5; /* [12:8] */ + __IO uint32_t reserved2 : 19;/* [31:13] */ + } dmactrl_bit; + }; + + /** + * @brief tmr dmadt register, offset:0x4C + */ + union + { + __IO uint32_t dmadt; + struct + { + __IO uint32_t dmadt : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } dmadt_bit; + }; + + /** + * @brief tmr rmp register, offset:0x50 + */ + union + { + __IO uint32_t rmp; + struct + { + __IO uint32_t tmr14_ch1_irmp : 2; /* [1:0] */ + __IO uint32_t reserved1 : 30;/* [31:2] */ + } rmp_bit; + }; +} tmr_type; + +/** + * @} + */ + +#define TMR1 ((tmr_type *) TMR1_BASE) +#define TMR2 ((tmr_type *) TMR2_BASE) +#define TMR3 ((tmr_type *) TMR3_BASE) +#define TMR4 ((tmr_type *) TMR4_BASE) +#define TMR6 ((tmr_type *) TMR6_BASE) +#define TMR7 ((tmr_type *) TMR7_BASE) +#define TMR9 ((tmr_type *) TMR9_BASE) +#define TMR10 ((tmr_type *) TMR10_BASE) +#define TMR11 ((tmr_type *) TMR11_BASE) +#define TMR12 ((tmr_type *) TMR12_BASE) +#define TMR13 ((tmr_type *) TMR13_BASE) +#define TMR14 ((tmr_type *) TMR14_BASE) + +/** @defgroup TMR_exported_functions + * @{ + */ + +void tmr_reset(tmr_type *tmr_x); +void tmr_counter_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_output_default_para_init(tmr_output_config_type *tmr_output_struct); +void tmr_input_default_para_init(tmr_input_config_type *tmr_input_struct); +void tmr_brkdt_default_para_init(tmr_brkdt_config_type *tmr_brkdt_struct); +void tmr_base_init(tmr_type* tmr_x, uint32_t tmr_pr, uint32_t tmr_div); +void tmr_clock_source_div_set(tmr_type *tmr_x, tmr_clock_division_type tmr_clock_div); +void tmr_cnt_dir_set(tmr_type *tmr_x, tmr_count_mode_type tmr_cnt_dir); +void tmr_repetition_counter_set(tmr_type *tmr_x, uint16_t tmr_rpr_value); +void tmr_counter_value_set(tmr_type *tmr_x, uint32_t tmr_cnt_value); +uint32_t tmr_counter_value_get(tmr_type *tmr_x); +void tmr_div_value_set(tmr_type *tmr_x, uint32_t tmr_div_value); +uint32_t tmr_div_value_get(tmr_type *tmr_x); +void tmr_output_channel_config(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_output_config_type *tmr_output_struct); +void tmr_output_channel_mode_select(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_output_control_mode_type oc_mode); +void tmr_period_value_set(tmr_type *tmr_x, uint32_t tmr_pr_value); +uint32_t tmr_period_value_get(tmr_type *tmr_x); +void tmr_channel_value_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + uint32_t tmr_channel_value); +uint32_t tmr_channel_value_get(tmr_type *tmr_x, tmr_channel_select_type tmr_channel); +void tmr_period_buffer_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_output_channel_buffer_enable(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state); +void tmr_output_channel_immediately_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state); +void tmr_output_channel_switch_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state); +void tmr_one_cycle_mode_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_32_bit_function_enable (tmr_type *tmr_x, confirm_state new_state); +void tmr_overflow_request_source_set(tmr_type *tmr_x, confirm_state new_state); +void tmr_overflow_event_disable(tmr_type *tmr_x, confirm_state new_state); +void tmr_input_channel_init(tmr_type *tmr_x, tmr_input_config_type *input_struct, \ + tmr_channel_input_divider_type divider_factor); +void tmr_channel_enable(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, confirm_state new_state); +void tmr_input_channel_filter_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + uint16_t filter_value); +void tmr_pwm_input_config(tmr_type *tmr_x, tmr_input_config_type *input_struct, \ + tmr_channel_input_divider_type divider_factor); +void tmr_channel1_input_select(tmr_type *tmr_x, tmr_channel1_input_connected_type ch1_connect); +void tmr_input_channel_divider_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_channel_input_divider_type divider_factor); +void tmr_primary_mode_select(tmr_type *tmr_x, tmr_primary_select_type primary_mode); +void tmr_sub_mode_select(tmr_type *tmr_x, tmr_sub_mode_select_type sub_mode); +void tmr_channel_dma_select(tmr_type *tmr_x, tmr_dma_request_source_type cc_dma_select); +void tmr_hall_select(tmr_type *tmr_x, confirm_state new_state); +void tmr_channel_buffer_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_trgout2_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_trigger_input_select(tmr_type *tmr_x, sub_tmr_input_sel_type trigger_select); +void tmr_sub_sync_mode_set(tmr_type *tmr_x, confirm_state new_state); +void tmr_dma_request_enable(tmr_type *tmr_x, tmr_dma_request_type dma_request, confirm_state new_state); +void tmr_interrupt_enable(tmr_type *tmr_x, uint32_t tmr_interrupt, confirm_state new_state); +flag_status tmr_interrupt_flag_get(tmr_type *tmr_x, uint32_t tmr_flag); +flag_status tmr_flag_get(tmr_type *tmr_x, uint32_t tmr_flag); +void tmr_flag_clear(tmr_type *tmr_x, uint32_t tmr_flag); +void tmr_event_sw_trigger(tmr_type *tmr_x, tmr_event_trigger_type tmr_event); +void tmr_output_enable(tmr_type *tmr_x, confirm_state new_state); +void tmr_internal_clock_set(tmr_type *tmr_x); +void tmr_output_channel_polarity_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_polarity_active_type oc_polarity); +void tmr_external_clock_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter); +void tmr_external_clock_mode1_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter); +void tmr_external_clock_mode2_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter); +void tmr_encoder_mode_config(tmr_type *tmr_x, tmr_encoder_mode_type encoder_mode, tmr_input_polarity_type \ + ic1_polarity, tmr_input_polarity_type ic2_polarity); +void tmr_force_output_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_force_output_type force_output); +void tmr_dma_control_config(tmr_type *tmr_x, tmr_dma_transfer_length_type dma_length, \ + tmr_dma_address_type dma_base_address); +void tmr_brkdt_config(tmr_type *tmr_x, tmr_brkdt_config_type *brkdt_struct); +void tmr_brk_filter_value_set(tmr_type *tmr_x, uint8_t filter_value); +void tmr_iremap_config(tmr_type *tmr_x, tmr_input_remap_type input_remap); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_usart.h b/Firmware/drivers/inc/at32a423_usart.h new file mode 100644 index 0000000..b1e21ff --- /dev/null +++ b/Firmware/drivers/inc/at32a423_usart.h @@ -0,0 +1,489 @@ +/** + ************************************************************************** + * @file at32a423_usart.h + * @brief at32a423 usart header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_USART_H +#define __AT32A423_USART_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup USART + * @{ + */ + +/** @defgroup USART_flags_definition + * @brief usart flag + * @{ + */ + +#define USART_PERR_FLAG ((uint32_t)0x00000001) /*!< usart parity error flag */ +#define USART_FERR_FLAG ((uint32_t)0x00000002) /*!< usart framing error flag */ +#define USART_NERR_FLAG ((uint32_t)0x00000004) /*!< usart noise error flag */ +#define USART_ROERR_FLAG ((uint32_t)0x00000008) /*!< usart receiver overflow error flag */ +#define USART_IDLEF_FLAG ((uint32_t)0x00000010) /*!< usart idle flag */ +#define USART_RDBF_FLAG ((uint32_t)0x00000020) /*!< usart receive data buffer full flag */ +#define USART_TDC_FLAG ((uint32_t)0x00000040) /*!< usart transmit data complete flag */ +#define USART_TDBE_FLAG ((uint32_t)0x00000080) /*!< usart transmit data buffer empty flag */ +#define USART_BFF_FLAG ((uint32_t)0x00000100) /*!< usart break frame flag */ +#define USART_CTSCF_FLAG ((uint32_t)0x00000200) /*!< usart cts change flag */ +#define USART_RTODF_FLAG ((uint32_t)0x00000800) /*!< usart receiver time out detection flag */ +#define USART_OCCUPY_FLAG ((uint32_t)0x00010000) /*!< usart receiver occupy flag */ +#define USART_CMDF_FLAG ((uint32_t)0x00020000) /*!< usart character match detection flag */ +#define USART_LPWUF_FLAG ((uint32_t)0x00100000) /*!< usart low power wake up flag */ +#define USART_TXON_FLAG ((uint32_t)0x00200000) /*!< usart transmitter turned on flag */ +#define USART_RXON_FLAG ((uint32_t)0x00400000) /*!< usart receiver turned on flag */ + +/** + * @} + */ + +/** @defgroup USART_interrupts_definition + * @brief usart interrupt + * @{ + */ + +#define USART_IDLE_INT MAKE_VALUE(0x0C,0x04) /*!< usart idle interrupt */ +#define USART_RDBF_INT MAKE_VALUE(0x0C,0x05) /*!< usart receive data buffer full interrupt */ +#define USART_TDC_INT MAKE_VALUE(0x0C,0x06) /*!< usart transmit data complete interrupt */ +#define USART_TDBE_INT MAKE_VALUE(0x0C,0x07) /*!< usart transmit data buffer empty interrupt */ +#define USART_PERR_INT MAKE_VALUE(0x0C,0x08) /*!< usart parity error interrupt */ +#define USART_BF_INT MAKE_VALUE(0x10,0x06) /*!< usart break frame interrupt */ +#define USART_ERR_INT MAKE_VALUE(0x14,0x00) /*!< usart error interrupt */ +#define USART_CTSCF_INT MAKE_VALUE(0x14,0x0A) /*!< usart cts change interrupt */ +#define USART_LPWUF_INT MAKE_VALUE(0x14,0x0D) /*!< usart low power wakeup flag interrupt */ +#define USART_RTOD_INT MAKE_VALUE(0x0C,0x1A) /*!< usart receiver time out detection flag interrupt */ +#define USART_CMD_INT MAKE_VALUE(0x0C,0x0E) /*!< usart character match detection flag interrupt */ + +/** + * @} + */ + +/** @defgroup USART_exported_types + * @{ + */ + +/** + * @brief usart parity selection type + */ +typedef enum +{ + USART_PARITY_NONE = 0x00, /*!< usart no parity */ + USART_PARITY_EVEN = 0x01, /*!< usart even parity */ + USART_PARITY_ODD = 0x02 /*!< usart odd parity */ +} usart_parity_selection_type; + +/** + * @brief usart wakeup mode type + */ +typedef enum +{ + USART_WAKEUP_BY_IDLE_FRAME = 0x00, /*!< usart wakeup by idle frame */ + USART_WAKEUP_BY_MATCHING_ID = 0x01 /*!< usart wakeup by matching id */ +} usart_wakeup_mode_type; + +/** + * @brief usart data bit num type + */ +typedef enum +{ + USART_DATA_8BITS = 0x00, /*!< usart data size is 8 bits */ + USART_DATA_9BITS = 0x01, /*!< usart data size is 9 bits */ + USART_DATA_7BITS = 0x02 /*!< usart data size is 7 bits */ +} usart_data_bit_num_type; + +/** + * @brief usart break frame bit num type + */ +typedef enum +{ + USART_BREAK_10BITS = 0x00, /*!< usart lin mode berak frame detection 10 bits */ + USART_BREAK_11BITS = 0x01 /*!< usart lin mode berak frame detection 11 bits */ +} usart_break_bit_num_type; + +/** + * @brief usart phase of the clock type + */ +typedef enum +{ + USART_CLOCK_PHASE_1EDGE = 0x00, /*!< usart data capture is done on the clock leading edge */ + USART_CLOCK_PHASE_2EDGE = 0x01 /*!< usart data capture is done on the clock trailing edge */ +} usart_clock_phase_type; + +/** + * @brief usart polarity of the clock type + */ +typedef enum +{ + USART_CLOCK_POLARITY_LOW = 0x00, /*!< usart clock stay low level outside transmission window */ + USART_CLOCK_POLARITY_HIGH = 0x01 /*!< usart clock stay high level outside transmission window */ +} usart_clock_polarity_type; + +/** + * @brief usart last bit clock pulse type + */ +typedef enum +{ + USART_CLOCK_LAST_BIT_NONE = 0x00, /*!< usart clock pulse of the last data bit is not outputted */ + USART_CLOCK_LAST_BIT_OUTPUT = 0x01 /*!< usart clock pulse of the last data bit is outputted */ +} usart_lbcp_type; + +/** + * @brief usart stop bit num type + */ +typedef enum +{ + USART_STOP_1_BIT = 0x00, /*!< usart stop bits num is 1 */ + USART_STOP_0_5_BIT = 0x01, /*!< usart stop bits num is 0.5 */ + USART_STOP_2_BIT = 0x02, /*!< usart stop bits num is 2 */ + USART_STOP_1_5_BIT = 0x03 /*!< usart stop bits num is 1.5 */ +} usart_stop_bit_num_type; + +/** + * @brief usart hardware flow control type + */ +typedef enum +{ + USART_HARDWARE_FLOW_NONE = 0x00, /*!< usart without hardware flow */ + USART_HARDWARE_FLOW_RTS = 0x01, /*!< usart hardware flow only rts */ + USART_HARDWARE_FLOW_CTS = 0x02, /*!< usart hardware flow only cts */ + USART_HARDWARE_FLOW_RTS_CTS = 0x03 /*!< usart hardware flow both rts and cts */ +} usart_hardware_flow_control_type; + +/** + * @brief usart identification bit num type + */ +typedef enum +{ + USART_ID_FIXED_4_BIT = 0x00, /*!< usart id bit num fixed 4 bits */ + USART_ID_RELATED_DATA_BIT = 0x01 /*!< usart id bit num related data bits */ +} usart_identification_bit_num_type; + +/** + * @brief usart de polarity type + */ +typedef enum +{ + USART_DE_POLARITY_HIGH = 0x00, /*!< usart de polarity high */ + USART_DE_POLARITY_LOW = 0x01 /*!< usart de polarity low */ +} usart_de_polarity_type; + +/** + * @brief usart wakeup method type + */ +typedef enum +{ + USART_WAKEUP_METHOD_ID = 0x00, /*!< usart low power wakeup method id match */ + USART_WAKEUP_METHOD_START = 0x02, /*!< usart low power wakeup method start bit */ + USART_WAKEUP_METHOD_RDBF = 0x03, /*!< usart low power wakeup method receive data buffer full */ +} usart_wakeup_method_type; + +/** + * @brief type define usart register all + */ +typedef struct +{ + /** + * @brief usart sts register, offset:0x00 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t perr : 1; /* [0] */ + __IO uint32_t ferr : 1; /* [1] */ + __IO uint32_t nerr : 1; /* [2] */ + __IO uint32_t roerr : 1; /* [3] */ + __IO uint32_t idlef : 1; /* [4] */ + __IO uint32_t rdbf : 1; /* [5] */ + __IO uint32_t tdc : 1; /* [6] */ + __IO uint32_t tdbe : 1; /* [7] */ + __IO uint32_t bff : 1; /* [8] */ + __IO uint32_t ctscf : 1; /* [9] */ + __IO uint32_t reserved1 : 1; /* [10] */ + __IO uint32_t rtodf : 1; /* [11] */ + __IO uint32_t reserved2 : 4; /* [12:15] */ + __IO uint32_t occupy : 1; /* [16] */ + __IO uint32_t cmdf : 1; /* [17] */ + __IO uint32_t reserved3 : 2; /* [18:19] */ + __IO uint32_t lpwuf : 1; /* [20] */ + __IO uint32_t txon : 1; /* [21] */ + __IO uint32_t rxon : 1; /* [22] */ + __IO uint32_t reserved4 : 9; /* [31:23] */ + } sts_bit; + }; + + /** + * @brief usart dt register, offset:0x04 + */ + union + { + __IO uint32_t dt; + struct + { + __IO uint32_t dt : 9; /* [8:0] */ + __IO uint32_t reserved1 : 23;/* [31:9] */ + } dt_bit; + }; + + /** + * @brief usart baudr register, offset:0x08 + */ + union + { + __IO uint32_t baudr; + struct + { + __IO uint32_t div : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } baudr_bit; + }; + + /** + * @brief usart ctrl1 register, offset:0x0C + */ + union + { + __IO uint32_t ctrl1; + struct + { + __IO uint32_t sbf : 1; /* [0] */ + __IO uint32_t rm : 1; /* [1] */ + __IO uint32_t ren : 1; /* [2] */ + __IO uint32_t ten : 1; /* [3] */ + __IO uint32_t idleien : 1; /* [4] */ + __IO uint32_t rdbfien : 1; /* [5] */ + __IO uint32_t tdcien : 1; /* [6] */ + __IO uint32_t tdbeien : 1; /* [7] */ + __IO uint32_t perrien : 1; /* [8] */ + __IO uint32_t psel : 1; /* [9] */ + __IO uint32_t pen : 1; /* [10] */ + __IO uint32_t wum : 1; /* [11] */ + __IO uint32_t dbn0 : 1; /* [12] */ + __IO uint32_t uen : 1; /* [13] */ + __IO uint32_t cmdie : 1; /* [14] */ + __IO uint32_t reserved1 : 1; /* [15] */ + __IO uint32_t tcdt : 5; /* [20:16] */ + __IO uint32_t tsdt : 5; /* [25:21] */ + __IO uint32_t retodie : 1; /* [26] */ + __IO uint32_t rtoden : 1; /* [27] */ + __IO uint32_t dbn1 : 1; /* [28] */ + __IO uint32_t reserved2 : 3; /* [31:29] */ + } ctrl1_bit; + }; + + /** + * @brief usart ctrl2 register, offset:0x10 + */ + union + { + __IO uint32_t ctrl2; + struct + { + __IO uint32_t idl : 4; /* [3:0] */ + __IO uint32_t idbn : 1; /* [4] */ + __IO uint32_t bfbn : 1; /* [5] */ + __IO uint32_t bfien : 1; /* [6] */ + __IO uint32_t reserved1 : 1; /* [7] */ + __IO uint32_t lbcp : 1; /* [8] */ + __IO uint32_t clkpha : 1; /* [9] */ + __IO uint32_t clkpol : 1; /* [10] */ + __IO uint32_t clken : 1; /* [11] */ + __IO uint32_t stopbn : 2; /* [13:12] */ + __IO uint32_t linen : 1; /* [14] */ + __IO uint32_t trpswap : 1; /* [15] */ + __IO uint32_t rxrev : 1; /* [16] */ + __IO uint32_t txrev : 1; /* [17] */ + __IO uint32_t dtrev : 1; /* [18] */ + __IO uint32_t mtf : 1; /* [19] */ + __IO uint32_t reserved2 : 8; /* [27:20] */ + __IO uint32_t idh : 4; /* [31:28] */ + } ctrl2_bit; + }; + + /** + * @brief usart ctrl3 register, offset:0x14 + */ + union + { + __IO uint32_t ctrl3; + struct + { + __IO uint32_t errien : 1; /* [0] */ + __IO uint32_t irdaen : 1; /* [1] */ + __IO uint32_t irdalp : 1; /* [2] */ + __IO uint32_t slben : 1; /* [3] */ + __IO uint32_t scnacken : 1; /* [4] */ + __IO uint32_t scmen : 1; /* [5] */ + __IO uint32_t dmaren : 1; /* [6] */ + __IO uint32_t dmaten : 1; /* [7] */ + __IO uint32_t rtsen : 1; /* [8] */ + __IO uint32_t ctsen : 1; /* [9] */ + __IO uint32_t ctscfien : 1; /* [10] */ + __IO uint32_t smusen : 1; /* [11] */ + __IO uint32_t reserved1 : 1; /* [12] */ + __IO uint32_t lpwufie : 1; /* [13] */ + __IO uint32_t rs485en : 1; /* [14] */ + __IO uint32_t dep : 1; /* [15] */ + __IO uint32_t lpwum : 2; /* [17:16] */ + __IO uint32_t reserved2 : 14;/* [31:18] */ + } ctrl3_bit; + }; + + /** + * @brief usart gdiv register, offset:0x18 + */ + union + { + __IO uint32_t gdiv; + struct + { + __IO uint32_t isdiv : 8; /* [7:0] */ + __IO uint32_t scgt : 8; /* [15:8] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } gdiv_bit; + }; + + /** + * @brief usart rtov register, offset:0x1C + */ + union + { + __IO uint32_t rtov; + struct + { + __IO uint32_t rtov : 24;/* [23:0] */ + __IO uint32_t reserved1 : 8; /* [31:24] */ + } rtov_bit; + }; + + /** + * @brief usart ifc register, offset:0x20 + */ + union + { + __IO uint32_t ifc; + struct + { + __IO uint32_t reserved1 : 11;/* [10:0] */ + __IO uint32_t lpwufc : 1; /* [11] */ + __IO uint32_t reserved2 : 5; /* [16:12] */ + __IO uint32_t cmdfc : 1; /* [17] */ + __IO uint32_t reserved3 : 2; /* [19:18] */ + __IO uint32_t rtodfc : 1; /* [20] */ + __IO uint32_t reserved4 : 11;/* [31:21] */ + } ifc_bit; + }; +} usart_type; + +/** + * @} + */ + +#define USART1 ((usart_type *) USART1_BASE) +#define USART2 ((usart_type *) USART2_BASE) +#define USART3 ((usart_type *) USART3_BASE) +#define USART4 ((usart_type *) USART4_BASE) +#define USART5 ((usart_type *) USART5_BASE) +#define USART6 ((usart_type *) USART6_BASE) +#define USART7 ((usart_type *) USART7_BASE) +#if defined (AT32A423Rx) || defined (AT32A423Vx) +#define USART8 ((usart_type *) USART8_BASE) +#endif + +/** @defgroup USART_exported_functions + * @{ + */ + +void usart_reset(usart_type* usart_x); +void usart_init(usart_type* usart_x, uint32_t baud_rate, usart_data_bit_num_type data_bit, usart_stop_bit_num_type stop_bit); +void usart_parity_selection_config(usart_type* usart_x, usart_parity_selection_type parity); +void usart_enable(usart_type* usart_x, confirm_state new_state); +void usart_transmitter_enable(usart_type* usart_x, confirm_state new_state); +void usart_receiver_enable(usart_type* usart_x, confirm_state new_state); +void usart_clock_config(usart_type* usart_x, usart_clock_polarity_type clk_pol, usart_clock_phase_type clk_pha, usart_lbcp_type clk_lb); +void usart_clock_enable(usart_type* usart_x, confirm_state new_state); +void usart_interrupt_enable(usart_type* usart_x, uint32_t usart_int, confirm_state new_state); +void usart_dma_transmitter_enable(usart_type* usart_x, confirm_state new_state); +void usart_dma_receiver_enable(usart_type* usart_x, confirm_state new_state); +void usart_wakeup_id_set(usart_type* usart_x, uint8_t usart_id); +void usart_wakeup_mode_set(usart_type* usart_x, usart_wakeup_mode_type wakeup_mode); +void usart_receiver_mute_enable(usart_type* usart_x, confirm_state new_state); +void usart_break_bit_num_set(usart_type* usart_x, usart_break_bit_num_type break_bit); +void usart_lin_mode_enable(usart_type* usart_x, confirm_state new_state); +void usart_data_transmit(usart_type* usart_x, uint16_t data); +uint16_t usart_data_receive(usart_type* usart_x); +void usart_break_send(usart_type* usart_x); +void usart_smartcard_guard_time_set(usart_type* usart_x, uint8_t guard_time_val); +void usart_irda_smartcard_division_set(usart_type* usart_x, uint8_t div_val); +void usart_smartcard_mode_enable(usart_type* usart_x, confirm_state new_state); +void usart_smartcard_nack_set(usart_type* usart_x, confirm_state new_state); +void usart_single_line_halfduplex_select(usart_type* usart_x, confirm_state new_state); +void usart_irda_mode_enable(usart_type* usart_x, confirm_state new_state); +void usart_irda_low_power_enable(usart_type* usart_x, confirm_state new_state); +void usart_hardware_flow_control_set(usart_type* usart_x,usart_hardware_flow_control_type flow_state); +flag_status usart_flag_get(usart_type* usart_x, uint32_t flag); +flag_status usart_interrupt_flag_get(usart_type* usart_x, uint32_t flag); +void usart_flag_clear(usart_type* usart_x, uint32_t flag); +void usart_rs485_delay_time_config(usart_type* usart_x, uint8_t start_delay_time, uint8_t complete_delay_time); +void usart_transmit_receive_pin_swap(usart_type* usart_x, confirm_state new_state); +void usart_id_bit_num_set(usart_type* usart_x, usart_identification_bit_num_type id_bit_num); +void usart_de_polarity_set(usart_type* usart_x, usart_de_polarity_type de_polarity); +void usart_rs485_mode_enable(usart_type* usart_x, confirm_state new_state); +void usart_low_power_wakeup_set(usart_type* usart_x, usart_wakeup_method_type wakeup_method); +void usart_deep_sleep_mode_enable(usart_type* usart_x, confirm_state new_state); +void usart_msb_transmit_first_enable(usart_type* usart_x, confirm_state new_state); +void usart_dt_polarity_reverse(usart_type* usart_x, confirm_state new_state); +void usart_transmit_pin_polarity_reverse(usart_type* usart_x, confirm_state new_state); +void usart_receive_pin_polarity_reverse(usart_type* usart_x, confirm_state new_state); +void usart_receiver_timeout_detection_enable(usart_type* usart_x, confirm_state new_state); +void usart_receiver_timeout_value_set(usart_type* usart_x, uint32_t time); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_usb.h b/Firmware/drivers/inc/at32a423_usb.h new file mode 100644 index 0000000..b2e5b90 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_usb.h @@ -0,0 +1,1421 @@ +/** + ************************************************************************** + * @file at32a423_usb.h + * @brief at32a423 usb header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_USB_H +#define __AT32A423_USB_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup USB + * @{ + */ + +/** @defgroup USB_global_interrupts_definition + * @brief usb global interrupt mask + * @{ + */ + +#define USB_OTG_MODEMIS_INT ((uint32_t)0x00000002) /*!< usb otg mode mismatch interrupt */ +#define USB_OTG_OTGINT_INT ((uint32_t)0x00000004) /*!< usb otg interrupt */ +#define USB_OTG_SOF_INT ((uint32_t)0x00000008) /*!< usb otg sof interrupt */ +#define USB_OTG_RXFLVL_INT ((uint32_t)0x00000010) /*!< usb otg receive fifo non-empty interrupt */ +#define USB_OTG_NPTXFEMP_INT ((uint32_t)0x00000020) /*!< usb otg non-periodic tx fifo empty interrupt */ +#define USB_OTG_GINNAKEFF_INT ((uint32_t)0x00000040) /*!< usb otg global non-periodic in nak effective interrupt */ +#define USB_OTG_GOUTNAKEFF_INT ((uint32_t)0x00000080) /*!< usb otg global out nak effective interrupt */ +#define USB_OTG_ERLYSUSP_INT ((uint32_t)0x00000400) /*!< usb otg early suspend interrupt */ +#define USB_OTG_USBSUSP_INT ((uint32_t)0x00000800) /*!< usb otg suspend interrupt */ +#define USB_OTG_USBRST_INT ((uint32_t)0x00001000) /*!< usb otg reset interrupt */ +#define USB_OTG_ENUMDONE_INT ((uint32_t)0x00002000) /*!< usb otg enumeration done interrupt */ +#define USB_OTG_ISOOUTDROP_INT ((uint32_t)0x00004000) /*!< usb otg isochronous out packet dropped interrut */ +#define USB_OTG_EOPF_INT ((uint32_t)0x00008000) /*!< usb otg eop interrupt */ +#define USB_OTG_IEPT_INT ((uint32_t)0x00040000) /*!< usb otg in endpoint interrupt */ +#define USB_OTG_OEPT_INT ((uint32_t)0x00080000) /*!< usb otg out endpoint interrupt */ +#define USB_OTG_INCOMISOIN_INT ((uint32_t)0x00100000) /*!< usb otg incomplete isochronous in transfer interrupt */ +#define USB_OTG_INCOMPIP_INCOMPISOOUT_INT ((uint32_t)0x00200000) /*!< usb otg incomplete periodic transfer/isochronous out interrupt */ +#define USB_OTG_PRT_INT ((uint32_t)0x01000000) /*!< usb otg host port interrupt */ +#define USB_OTG_HCH_INT ((uint32_t)0x02000000) /*!< usb otg host channel interrupt */ +#define USB_OTG_PTXFEMP_INT ((uint32_t)0x04000000) /*!< usb otg periodic txfifo empty interrupt */ +#define USB_OTG_CONIDSCHG_INT ((uint32_t)0x10000000) /*!< usb otg connector id status change interrupt */ +#define USB_OTG_DISCON_INT ((uint32_t)0x20000000) /*!< usb otg disconnect detected interrupt */ +#define USB_OTG_WKUP_INT ((uint32_t)0x80000000) /*!< usb otg wakeup interrupt */ + +/** + * @} + */ + +/** @defgroup USB_global_interrupt_flags_definition + * @brief usb global interrupt flag + * @{ + */ + +#define USB_OTG_CURMODE ((uint32_t)0x00000001) /*!< usb otg current mode */ +#define USB_OTG_MODEMIS_FLAG ((uint32_t)0x00000002) /*!< usb otg mode mismatch flag */ +#define USB_OTG_OTGINT_FLAG ((uint32_t)0x00000004) /*!< usb otg flag */ +#define USB_OTG_SOF_FLAG ((uint32_t)0x00000008) /*!< usb otg sof flag */ +#define USB_OTG_RXFLVL_FLAG ((uint32_t)0x00000010) /*!< usb otg receive fifo non-empty flag */ +#define USB_OTG_NPTXFEMP_FLAG ((uint32_t)0x00000020) /*!< usb otg non-periodic tx fifo empty flag */ +#define USB_OTG_GINNAKEFF_FLAG ((uint32_t)0x00000040) /*!< usb otg global non-periodic in nak effective flag */ +#define USB_OTG_GOUTNAKEFF_FLAG ((uint32_t)0x00000080) /*!< usb otg global out nak effective flag */ +#define USB_OTG_ERLYSUSP_FLAG ((uint32_t)0x00000400) /*!< usb otg early suspend flag */ +#define USB_OTG_USBSUSP_FLAG ((uint32_t)0x00000800) /*!< usb otg suspend flag */ +#define USB_OTG_USBRST_FLAG ((uint32_t)0x00001000) /*!< usb otg reset flag */ +#define USB_OTG_ENUMDONE_FLAG ((uint32_t)0x00002000) /*!< usb otg enumeration done flag */ +#define USB_OTG_ISOOUTDROP_FLAG ((uint32_t)0x00004000) /*!< usb otg isochronous out packet dropped flag */ +#define USB_OTG_EOPF_FLAG ((uint32_t)0x00008000) /*!< usb otg eop flag */ +#define USB_OTG_IEPT_FLAG ((uint32_t)0x00040000) /*!< usb otg in endpoint flag */ +#define USB_OTG_OEPT_FLAG ((uint32_t)0x00080000) /*!< usb otg out endpoint flag */ +#define USB_OTG_INCOMISOIN_FLAG ((uint32_t)0x00100000) /*!< usb otg incomplete isochronous in transfer flag */ +#define USB_OTG_INCOMPIP_INCOMPISOOUT_FLAG ((uint32_t)0x00200000) /*!< usb otg incomplete periodic transfer/isochronous out flag */ +#define USB_OTG_PRT_FLAG ((uint32_t)0x01000000) /*!< usb otg host port flag */ +#define USB_OTG_HCH_FLAG ((uint32_t)0x02000000) /*!< usb otg host channel flag */ +#define USB_OTG_PTXFEMP_FLAG ((uint32_t)0x04000000) /*!< usb otg periodic txfifo empty flag */ +#define USB_OTG_CONIDSCHG_FLAG ((uint32_t)0x10000000) /*!< usb otg connector id status change flag */ +#define USB_OTG_DISCON_FLAG ((uint32_t)0x20000000) /*!< usb otg disconnect detected flag */ +#define USB_OTG_WKUP_FLAG ((uint32_t)0x80000000) /*!< usb otg wakeup flag */ + +/** + * @} + */ + + +/** @defgroup USB_global_setting_definition + * @brief usb global setting + * @{ + */ + +/** + * @brief usb turnaround time + */ +#define USB_TRDTIM_8 0x9 /*!< usb turn around time 8 */ +#define USB_TRDTIM_16 0x5 /*!< usb turn around time 16 */ + +/** + * @brief usb receive status + */ +#define USB_OTG_GRXSTSP_EPTNUM ((uint32_t)0x0000000F) /*!< usb device receive packet endpoint number*/ +#define USB_OTG_GRXSTSP_CHNUM ((uint32_t)0x0000000F) /*!< usb host receive packet channel number*/ +#define USB_OTG_GRXSTSP_BCNT ((uint32_t)0x00007FF0) /*!< usb receive packet byte count */ +#define USB_OTG_GRXSTSP_DPID ((uint32_t)0x00018000) /*!< usb receive packet pid */ +#define USB_OTG_GRXSTSP_PKTSTS ((uint32_t)0x001E0000) /*!< usb receive packet status */ + +/** + * @brief usb host packet status + */ +#define PKTSTS_IN_DATA_PACKET_RECV 0x2 /*!< usb host in data packet received */ +#define PKTSTS_IN_TRANSFER_COMPLETE 0x3 /*!< usb host in transfer completed */ +#define PKTSTS_DATA_BIT_ERROR 0x5 /*!< usb host data toggle error */ +#define PKTSTS_CHANNEL_STOP 0x7 /*!< usb host channel halted */ + +/** + * @brief usb device packet status + */ +#define USB_OUT_STS_NAK 0x1 /*!< usb device global out nak */ +#define USB_OUT_STS_DATA 0x2 /*!< usb device out data packet received */ +#define USB_OUT_STS_COMP 0x3 /*!< usb device out transfer completed */ +#define USB_SETUP_STS_COMP 0x4 /*!< usb device setup transcation completed */ +#define USB_SETUP_STS_DATA 0x6 /*!< usb device setup data packet received */ + +/** + * @} + */ + +/** @defgroup USB_host_config_definition + * @{ + */ + +/** + * @brief usb host phy clock + */ +#define USB_HCFG_CLK_60M 0 /*!< usb host phy clock 60mhz */ +#define USB_HCFG_CLK_48M 1 /*!< usb host phy clock 48mhz */ +#define USB_HCFG_CLK_6M 2 /*!< usb host phy clock 6mhz */ + +/** + * @brief usb host port status + */ +#define USB_OTG_HPRT_PRTCONSTS ((uint32_t)0x00000001) /*!< usb host port connect status */ +#define USB_OTG_HPRT_PRTCONDET ((uint32_t)0x00000002) /*!< usb host port connect detected */ +#define USB_OTG_HPRT_PRTENA ((uint32_t)0x00000004) /*!< usb host port enable */ +#define USB_OTG_HPRT_PRTENCHNG ((uint32_t)0x00000008) /*!< usb host port enable/disable change */ +#define USB_OTG_HPRT_PRTOVRCACT ((uint32_t)0x00000010) /*!< usb host port overcurrent active */ +#define USB_OTG_HPRT_PRTOVRCCHNG ((uint32_t)0x00000020) /*!< usb host port overcurrent change */ +#define USB_OTG_HPRT_PRTRES ((uint32_t)0x00000040) /*!< usb host port resume */ +#define USB_OTG_HPRT_PRTSUSP ((uint32_t)0x00000080) /*!< usb host port suspend */ +#define USB_OTG_HPRT_PRTRST ((uint32_t)0x00000100) /*!< usb host port reset */ +#define USB_OTG_HPRT_PRTLNSTS ((uint32_t)0x00000C00) /*!< usb host port line status */ +#define USB_OTG_HPRT_PRTPWR ((uint32_t)0x00001000) /*!< usb host port power */ +#define USB_OTG_HPRT_PRTSPD ((uint32_t)0x00060000) /*!< usb host port speed */ + +/** + * @brief usb port speed + */ +#define USB_PRTSPD_HIGH_SPEED 0 /*!< usb host port high speed */ +#define USB_PRTSPD_FULL_SPEED 1 /*!< usb host port full speed */ +#define USB_PRTSPD_LOW_SPEED 2 /*!< usb host port low speed */ + +/** + * @brief usb host register hcchar bit define + */ +#define USB_OTG_HCCHAR_MPS ((uint32_t)0x000007FF) /*!< channel maximum packet size */ +#define USB_OTG_HCCHAR_EPTNUM ((uint32_t)0x00007800) /*!< endpoint number */ +#define USB_OTG_HCCHAR_EPTDIR ((uint32_t)0x00008000) /*!< endpoint direction */ +#define USB_OTG_HCCHAR_LSPDDEV ((uint32_t)0x00020000) /*!< low speed device */ +#define USB_OTG_HCCHAR_EPTYPE ((uint32_t)0x000C0000) /*!< endpoint type */ +#define USB_OTG_HCCHAR_MC ((uint32_t)0x00300000) /*!< multi count */ +#define USB_OTG_HCCHAR_DEVADDR ((uint32_t)0x1FC00000) /*!< device address */ +#define USB_OTG_HCCHAR_ODDFRM ((uint32_t)0x20000000) /*!< odd frame */ +#define USB_OTG_HCCHAR_CHDIS ((uint32_t)0x40000000) /*!< channel disable */ +#define USB_OTG_HCCHAR_CHENA ((uint32_t)0x80000000) /*!< channel enable */ + +/** + * @brief usb host register hctsiz bit define + */ +#define USB_OTG_HCTSIZ_XFERSIZE ((uint32_t)0x0007FFFF) /*!< channel transfer size */ +#define USB_OTG_HCTSIZ_PKTCNT ((uint32_t)0x1FF80000) /*!< channel packet count */ +#define USB_OTG_HCTSIZ_PID ((uint32_t)0x60000000) /*!< channel pid */ + +/** + * @brief usb host channel interrupt mask + */ +#define USB_OTG_HC_XFERCM_INT ((uint32_t)0x00000001) /*!< channel transfer complete interrupt */ +#define USB_OTG_HC_CHHLTDM_INT ((uint32_t)0x00000002) /*!< channel halted interrupt */ +#define USB_OTG_HC_STALLM_INT ((uint32_t)0x00000008) /*!< channel stall interrupt */ +#define USB_OTG_HC_NAKM_INT ((uint32_t)0x00000010) /*!< channel nak interrupt */ +#define USB_OTG_HC_ACKM_INT ((uint32_t)0x00000020) /*!< channel ack interrupt */ +#define USB_OTG_HC_NYETM_INT ((uint32_t)0x00000040) /*!< channel nyet interrupt */ +#define USB_OTG_HC_XACTERRM_INT ((uint32_t)0x00000080) /*!< channel transaction error interrupt */ +#define USB_OTG_HC_BBLERRM_INT ((uint32_t)0x00000100) /*!< channel babble error interrupt */ +#define USB_OTG_HC_FRMOVRRUN_INT ((uint32_t)0x00000200) /*!< channel frame overrun interrupt */ +#define USB_OTG_HC_DTGLERRM_INT ((uint32_t)0x00000400) /*!< channel data toggle interrupt */ + +/** + * @brief usb host channel interrupt flag + */ +#define USB_OTG_HC_XFERC_FLAG ((uint32_t)0x00000001) /*!< channel transfer complete flag */ +#define USB_OTG_HC_CHHLTD_FLAG ((uint32_t)0x00000002) /*!< channel halted flag */ +#define USB_OTG_HC_STALL_FLAG ((uint32_t)0x00000008) /*!< channel stall flag */ +#define USB_OTG_HC_NAK_FLAG ((uint32_t)0x00000010) /*!< channel nak flag */ +#define USB_OTG_HC_ACK_FLAG ((uint32_t)0x00000020) /*!< channel ack flag */ +#define USB_OTG_HC_NYET_FLAG ((uint32_t)0x00000040) /*!< channel nyet flag */ +#define USB_OTG_HC_XACTERR_FLAG ((uint32_t)0x00000080) /*!< channel transaction error flag */ +#define USB_OTG_HC_BBLERR_FLAG ((uint32_t)0x00000100) /*!< channel babble error flag */ +#define USB_OTG_HC_FRMOVRRUN_FLAG ((uint32_t)0x00000200) /*!< channel frame overrun flag */ +#define USB_OTG_HC_DTGLERR_FLAG ((uint32_t)0x00000400) /*!< channel data toggle flag */ + +/** + * @} + */ + + +/** @defgroup USB_device_config_definition + * @{ + */ +/** + * @brief usb device periodic frame interval + */ +typedef enum +{ + DCFG_PERFRINT_80 = 0x00, /*!< periodic frame interval 80% */ + DCFG_PERFRINT_85 = 0x01, /*!< periodic frame interval 85% */ + DCFG_PERFRINT_90 = 0x02, /*!< periodic frame interval 90% */ + DCFG_PERFRINT_95 = 0x03 /*!< periodic frame interval 95% */ +} dcfg_perfrint_type; + + +/** + * @brief usb device full speed + */ +#define USB_DCFG_FULL_SPEED 3 /*!< device full speed */ + +/** + * @brief usb device ctrl define + */ +#define USB_OTG_DCTL_RWKUPSIG ((uint32_t)0x00000001) /*!< usb device remote wakeup signaling */ +#define USB_OTG_DCTL_SFTDISCON ((uint32_t)0x00000002) /*!< usb device soft disconnect */ +#define USB_OTG_DCTL_GNPINNAKSTS ((uint32_t)0x00000004) /*!< usb device global non-periodic in nak status */ +#define USB_OTG_DCTL_GOUTNAKSTS ((uint32_t)0x00000008) /*!< usb device global out nak status */ +#define USB_OTG_DCTL_SGNPINNAK ((uint32_t)0x00000080) /*!< usb device set global non-periodic in nak */ +#define USB_OTG_DCTL_CGNPINNAK ((uint32_t)0x00000100) /*!< usb device clear global non-periodic in nak */ +#define USB_OTG_DCTL_SGOUTNAK ((uint32_t)0x00000200) /*!< usb device set global out nak status */ +#define USB_OTG_DCTL_CGOUTNAK ((uint32_t)0x00000400) /*!< usb device clear global out nak status */ +#define USB_OTG_DCTL_PWROPRGDNE ((uint32_t)0x00000800) /*!< usb device power on programming done */ + +/** + * @brief usb device in endpoint flag + */ +#define USB_OTG_DIEPINT_XFERC_FLAG ((uint32_t)0x00000001) /*!< usb device in transfer completed flag */ +#define USB_OTG_DIEPINT_EPTDISD_FLAG ((uint32_t)0x00000002) /*!< usb device endpoint disable flag */ +#define USB_OTG_DIEPINT_TIMEOUT_FLAG ((uint32_t)0x00000008) /*!< usb device in timeout */ +#define USB_OTG_DIEPINT_INTKNTXFEMP_FLAG ((uint32_t)0x00000010) /*!< usb device in token received when tx fifo is empty flag */ +#define USB_OTG_DIEPINT_INEPTNAK_FLAG ((uint32_t)0x00000040) /*!< usb device in endpoint nak effective flag */ +#define USB_OTG_DIEPINT_TXFEMP_FLAG ((uint32_t)0x00000080) /*!< usb device transmit fifo empty flag */ + +/** + * @brief usb device out endpoint flag + */ +#define USB_OTG_DOEPINT_XFERC_FLAG ((uint32_t)0x00000001) /*!< usb device out transfer completed flag */ +#define USB_OTG_DOEPINT_EPTDISD_FLAG ((uint32_t)0x00000002) /*!< usb device endpoint disable flag */ +#define USB_OTG_DOEPINT_SETUP_FLAG ((uint32_t)0x00000008) /*!< usb device setup flag */ +#define USB_OTG_DOEPINT_OUTTEPD_FLAG ((uint32_t)0x00000010) /*!< usb device out token recevied when endpoint disable flag */ +#define USB_OTG_DOEPINT_B2BSTUP_FLAG ((uint32_t)0x00000040) /*!< back-to-back setup packets received */ + +/** + * @brief usb device in endpoint fifo space mask + */ +#define USB_OTG_DTXFSTS_INEPTFSAV ((uint32_t)0x0000FFFF) /*!< usb device in endpoint tx fifo space avail */ + +/** + * @brief endpoint0 maximum packet size + */ +#define USB_EPT0_MPS_64 0 /*!< usb device endpoint 0 maximum packet size 64byte */ +#define USB_EPT0_MPS_32 1 /*!< usb device endpoint 0 maximum packet size 32byte */ +#define USB_EPT0_MPS_16 2 /*!< usb device endpoint 0 maximum packet size 16byte */ +#define USB_EPT0_MPS_8 3 /*!< usb device endpoint 0 maximum packet size 8byte */ + +/** + * @} + */ + +/** + * @brief otg fifo size (word) + */ +#define OTG_FIFO_SIZE 320 /*!< otg usb total fifo size */ + +/** + * @brief otg host max buffer length (byte) + */ +#define USB_MAX_DATA_LENGTH 0x200 /*!< usb host maximum buffer size */ + +#define OTGFS_USB_GLOBAL +#define OTGFS_USB_DEVICE +#define OTGFS_USB_HOST + +/** @defgroup USB_exported_enum_types + * @{ + */ + +/** + * @brief usb mode define(device, host, drd) + */ +typedef enum +{ + OTG_DEVICE_MODE, /*!< usb device mode */ + OTG_HOST_MODE, /*!< usb host mode */ + OTG_DRD_MODE /*!< usb drd mode */ +} otg_mode_type; + +/** + * @brief endpoint type define + */ +typedef enum +{ + EPT_CONTROL_TYPE = 0x00, /*!< usb endpoint type control */ + EPT_ISO_TYPE = 0x01, /*!< usb endpoint type iso */ + EPT_BULK_TYPE = 0x02, /*!< usb endpoint type bulk */ + EPT_INT_TYPE = 0x03 /*!< usb endpoint type interrupt */ +} endpoint_trans_type; + +/** + * @brief usb endpoint number define type + */ +typedef enum +{ + USB_EPT0 = 0x00, /*!< usb endpoint 0 */ + USB_EPT1 = 0x01, /*!< usb endpoint 1 */ + USB_EPT2 = 0x02, /*!< usb endpoint 2 */ + USB_EPT3 = 0x03, /*!< usb endpoint 3 */ + USB_EPT4 = 0x04, /*!< usb endpoint 4 */ + USB_EPT5 = 0x05, /*!< usb endpoint 5 */ + USB_EPT6 = 0x06, /*!< usb endpoint 6 */ + USB_EPT7 = 0x07 /*!< usb endpoint 7 */ +} usb_endpoint_number_type; + +/** + * @brief usb endpoint max num define + */ +#ifndef USB_EPT_MAX_NUM +#define USB_EPT_MAX_NUM 8 /*!< usb device support endpoint number */ +#endif +/** + * @brief usb channel max num define + */ +#ifndef USB_HOST_CHANNEL_NUM +#define USB_HOST_CHANNEL_NUM 16 /*!< usb host support channel number */ +#endif + +/** + * @brief endpoint trans dir type + */ +typedef enum +{ + EPT_DIR_IN = 0x00, /*!< usb transfer direction in */ + EPT_DIR_OUT = 0x01 /*!< usb transfer direction out */ +} endpoint_dir_type; + +/** + * @brief otgfs1 and otgfs2 select type + */ +typedef enum +{ + USB_OTG1_ID, /*!< usb otg 1 id */ + USB_OTG2_ID /*!< usb otg 2 id */ +} otg_id_type; + +/** + * @brief usb clock select + */ +typedef enum +{ + USB_CLK_HICK, /*!< usb clock use hick */ + USB_CLK_HEXT /*!< usb clock use hext */ +}usb_clk48_s; + +/** + * @} + */ + + + +/** @defgroup USB_exported_types + * @{ + */ + +/** + * @brief usb endpoint infomation structure definition + */ +typedef struct +{ + uint8_t eptn; /*!< endpoint register number (0~7) */ + uint8_t ept_address; /*!< endpoint address */ + uint8_t inout; /*!< endpoint dir EPT_DIR_IN or EPT_DIR_OUT */ + uint8_t trans_type; /*!< endpoint type: + EPT_CONTROL_TYPE, EPT_BULK_TYPE, EPT_INT_TYPE, EPT_ISO_TYPE*/ + uint16_t tx_addr; /*!< endpoint tx buffer offset address */ + uint16_t rx_addr; /*!< endpoint rx buffer offset address */ + uint32_t maxpacket; /*!< endpoint max packet*/ + uint8_t is_double_buffer; /*!< endpoint double buffer flag */ + uint8_t stall; /*!< endpoint is stall state */ + uint32_t status; + + /* transmission buffer and count */ + uint8_t *trans_buf; /*!< endpoint transmission buffer */ + uint32_t total_len; /*!< endpoint transmission lengtg */ + uint32_t trans_len; /*!< endpoint transmission length*/ + + uint32_t last_len; /*!< last transfer length */ + uint32_t rem0_len; /*!< rem transfer length */ + uint32_t ept0_slen; /*!< endpoint 0 transfer sum length */ +} usb_ept_info; + + +/** + * @brief usb host channel infomation structure definition + */ +typedef struct +{ + uint8_t ch_num; /*!< host channel number */ + uint8_t address; /*!< device address */ + uint8_t dir; /*!< transmission direction */ + uint8_t ept_num; /*!< device endpoint number */ + uint8_t ept_type; /*!< channel transmission type */ + uint32_t maxpacket; /*!< support max packet size */ + uint8_t data_pid; /*!< data pid */ + uint8_t speed; /*!< usb speed */ + uint8_t stall; /*!< channel stall flag */ + uint32_t status; /*!< channel status */ + uint32_t state; /*!< channel state */ + uint32_t urb_sts; /*!< usb channel request block state */ + + uint8_t toggle_in; /*!< channel in transfer toggle */ + uint8_t toggle_out; /*!< channel out transfer toggle */ + + /* transmission buffer and count */ + uint8_t *trans_buf; /* host channel buffer */ + uint32_t trans_len; /* host channel transmission len */ + uint32_t trans_count; /* host channel transmission count*/ +} usb_hch_type; + + +typedef struct +{ + /** + * @brief otgfs control and status register, offset:0x00 + */ + union + { + __IO uint32_t gotgctrl; + struct + { + __IO uint32_t reserved1 : 16; /* [15:0] */ + __IO uint32_t cidsts : 1; /* [16] */ + __IO uint32_t reserved2 : 4; /* [20:17] */ + __IO uint32_t curmod : 1; /* [21] */ + __IO uint32_t reserved3 : 10; /* [31:22] */ + } gotgctrl_bit; + }; + + /** + * @brief otgfs interrupt register, offset:0x04 + */ + union + { + __IO uint32_t gotgint; + struct + { + __IO uint32_t reserved1 : 2; /* [1:0] */ + __IO uint32_t sesenddet : 1; /* [2] */ + __IO uint32_t reserved2 : 29; /* [31:3] */ + + } gotgint_bit; + }; + + /** + * @brief otgfs gahbcfg configuration register, offset:0x08 + */ + union + { + __IO uint32_t gahbcfg; + struct + { + __IO uint32_t glbintmsk : 1; /* [0] */ + __IO uint32_t reserved1 : 6; /* [6:1] */ + __IO uint32_t nptxfemplvl : 1; /* [7] */ + __IO uint32_t ptxfemplvl : 1; /* [8] */ + __IO uint32_t reserved2 : 23; /* [31:9] */ + } gahbcfg_bit; + }; + + /** + * @brief otgfs usb configuration register, offset:0x0C + */ + union + { + __IO uint32_t gusbcfg; + struct + { + __IO uint32_t toutcal : 3; /* [2:0] */ + __IO uint32_t reserved1 : 7; /* [9:3] */ + __IO uint32_t usbtrdtim : 4; /* [13:10] */ + __IO uint32_t reserved2 : 15; /* [28:14] */ + __IO uint32_t fhstmode : 1; /* [29] */ + __IO uint32_t fdevmode : 1; /* [30] */ + __IO uint32_t cotxpkt : 1; /* [31] */ + } gusbcfg_bit; + }; + + /** + * @brief otgfs reset register, offset:0x10 + */ + union + { + __IO uint32_t grstctl; + struct + { + __IO uint32_t csftrst : 1; /* [0] */ + __IO uint32_t piusftrst : 1; /* [1] */ + __IO uint32_t frmcntrst : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t rxfflsh : 1; /* [4] */ + __IO uint32_t txfflsh : 1; /* [5] */ + __IO uint32_t txfnum : 5; /* [10:6] */ + __IO uint32_t reserved2 : 20; /* [30:11] */ + __IO uint32_t ahbidle : 1; /* [31] */ + } grstctl_bit; + }; + + /** + * @brief otgfs core interrupt register, offset:0x14 + */ + union + { + __IO uint32_t gintsts; + struct + { + __IO uint32_t curmode : 1; /* [0] */ + __IO uint32_t modemis : 1; /* [1] */ + __IO uint32_t otgint : 1; /* [2] */ + __IO uint32_t sof : 1; /* [3] */ + __IO uint32_t rxflvl : 1; /* [4] */ + __IO uint32_t nptxfemp : 1; /* [5] */ + __IO uint32_t ginnakeff : 1; /* [6] */ + __IO uint32_t goutnakeff : 1; /* [7] */ + __IO uint32_t reserved1 : 2; /* [9:8]] */ + __IO uint32_t erlysusp : 1; /* [10] */ + __IO uint32_t usbsusp : 1; /* [11] */ + __IO uint32_t usbrst : 1; /* [12] */ + __IO uint32_t enumdone : 1; /* [13] */ + __IO uint32_t isooutdrop : 1; /* [14] */ + __IO uint32_t eopf : 1; /* [15] */ + __IO uint32_t reserved2 : 2; /* [17:16]] */ + __IO uint32_t ieptint : 1; /* [18] */ + __IO uint32_t oeptint : 1; /* [19] */ + __IO uint32_t incompisoin : 1; /* [20] */ + __IO uint32_t incompip_incompisoout : 1; /* [21] */ + __IO uint32_t reserved3 : 2; /* [23:22] */ + __IO uint32_t prtint : 1; /* [24] */ + __IO uint32_t hchint : 1; /* [25] */ + __IO uint32_t ptxfemp : 1; /* [26] */ + __IO uint32_t reserved4 : 1; /* [27] */ + __IO uint32_t conidschg : 1; /* [28] */ + __IO uint32_t disconint : 1; /* [29] */ + __IO uint32_t reserved5 : 1; /* [30] */ + __IO uint32_t wkupint : 1; /* [31] */ + } gintsts_bit; + }; + + /** + * @brief otgfs interrupt mask register, offset:0x18 + */ + union + { + __IO uint32_t gintmsk; + struct + { + __IO uint32_t reserved1 : 1; /* [0] */ + __IO uint32_t modemismsk : 1; /* [1] */ + __IO uint32_t otgintmsk : 1; /* [2] */ + __IO uint32_t sofmsk : 1; /* [3] */ + __IO uint32_t rxflvlmsk : 1; /* [4] */ + __IO uint32_t nptxfempmsk : 1; /* [5] */ + __IO uint32_t ginnakeffmsk : 1; /* [6] */ + __IO uint32_t goutnakeffmsk : 1; /* [7] */ + __IO uint32_t reserved2 : 2; /* [9:8]] */ + __IO uint32_t erlysuspmsk : 1; /* [10] */ + __IO uint32_t usbsuspmsk : 1; /* [11] */ + __IO uint32_t usbrstmsk : 1; /* [12] */ + __IO uint32_t enumdonemsk : 1; /* [13] */ + __IO uint32_t isooutdropmsk : 1; /* [14] */ + __IO uint32_t eopfmsk : 1; /* [15] */ + __IO uint32_t reserved3 : 2; /* [17:16]] */ + __IO uint32_t ieptintmsk : 1; /* [18] */ + __IO uint32_t oeptintmsk : 1; /* [19] */ + __IO uint32_t incompisoinmsk : 1; /* [20] */ + __IO uint32_t incompip_incompisooutmsk : 1; /* [21] */ + __IO uint32_t reserved4 : 2; /* [23:22] */ + __IO uint32_t prtintmsk : 1; /* [24] */ + __IO uint32_t hchintmsk : 1; /* [25] */ + __IO uint32_t ptxfempmsk : 1; /* [26] */ + __IO uint32_t reserved5 : 1; /* [27] */ + __IO uint32_t conidschgmsk : 1; /* [28] */ + __IO uint32_t disconintmsk : 1; /* [29] */ + __IO uint32_t reserved6 : 1; /* [30] */ + __IO uint32_t wkupintmsk : 1; /* [31] */ + } gintmsk_bit; + }; + + /** + * @brief otgfs rx status debug read register, offset:0x1C + */ + union + { + __IO uint32_t grxstsr; + struct + { + __IO uint32_t eptnum : 4; /* [3:0] */ + __IO uint32_t bcnt : 11; /* [14:4] */ + __IO uint32_t dpid : 2; /* [16:15] */ + __IO uint32_t pktsts : 4; /* [20:17] */ + __IO uint32_t fn : 4; /* [24:21] */ + __IO uint32_t reserved1 : 7; /* [31:25] */ + } grxstsr_bit; + }; + + /** + * @brief otgfs rx status read and pop register, offset:0x20 + */ + union + { + __IO uint32_t grxstsp; + struct + { + __IO uint32_t chnum : 4; /* [3:0] */ + __IO uint32_t bcnt : 11; /* [14:4] */ + __IO uint32_t dpid : 2; /* [16:15] */ + __IO uint32_t pktsts : 4; /* [20:17] */ + __IO uint32_t reserved1 : 11; /* [31:21] */ + } grxstsp_bit; + }; + + /** + * @brief otgfs rx fifo size register, offset:0x24 + */ + union + { + __IO uint32_t grxfsiz; + struct + { + __IO uint32_t rxfdep : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } grxfsiz_bit; + }; + + /** + * @brief otgfs non-periodic and ept0 tx fifo size register, offset:0x28 + */ + union + { + __IO uint32_t gnptxfsiz_ept0tx; + struct + { + __IO uint32_t nptxfstaddr : 16; /* [15:0] */ + __IO uint32_t nptxfdep : 16; /* [31:16] */ + } gnptxfsiz_ept0tx_bit; + }; + + /** + * @brief otgfs non-periodic tx fifo request queue status register, offset:0x2C + */ + union + { + __IO uint32_t gnptxsts; + struct + { + __IO uint32_t nptxfspcavail : 16; /* [15:0] */ + __IO uint32_t nptxqspcavail : 8; /* [23:16] */ + __IO uint32_t nptxqtop : 7; /* [30:24] */ + __IO uint32_t reserved1 : 1; /* [31] */ + } gnptxsts_bit; + }; + + __IO uint32_t reserved2[2]; + + /** + * @brief otgfs general core configuration register, offset:0x38 + */ + union + { + __IO uint32_t gccfg; + struct + { + __IO uint32_t reserved1 : 16; /* [15:0] */ + __IO uint32_t pwrdown : 1; /* [16] */ + __IO uint32_t lp_mode : 1; /* [17] */ + __IO uint32_t reserved2 : 2; /* [19:18] */ + __IO uint32_t sofouten : 1; /* [20] */ + __IO uint32_t vbusig : 1; /* [21] */ + __IO uint32_t reserved3 : 10; /* [31:22] */ + } gccfg_bit; + }; + + /** + * @brief otgfs core id register, offset:0x3C + */ + union + { + __IO uint32_t guid; + struct + { + __IO uint32_t userid : 32; /* [31:0] */ + } guid_bit; + }; + + __IO uint32_t reserved3[48]; + + /** + * @brief otgfs host periodic tx fifo size register, offset:0x100 + */ + union + { + __IO uint32_t hptxfsiz; + struct + { + __IO uint32_t ptxfstaddr : 16; /* [15:0] */ + __IO uint32_t ptxfsize : 16; /* [31:16] */ + } hptxfsiz_bit; + }; + + /** + * @brief otgfs host periodic tx fifo size register, offset:0x100 + */ + union + { + __IO uint32_t dieptxfn[7]; + struct + { + __IO uint32_t ineptxfstaddr : 16; /* [15:0] */ + __IO uint32_t ineptxfdep : 16; /* [31:16] */ + } dieptxfn_bit[7]; + }; +} otg_global_type; + + +typedef struct +{ + /** + * @brief otgfs host mode configuration register, offset:0x400 + */ + union + { + __IO uint32_t hcfg; + struct + { + __IO uint32_t fslspclksel : 2; /* [1:0] */ + __IO uint32_t fslssupp : 1; /* [2] */ + __IO uint32_t reserved1 : 29; /* [31:3] */ + } hcfg_bit; + }; + + /** + * @brief otgfs host frame interval register, offset:0x404 + */ + union + { + __IO uint32_t hfir; + struct + { + __IO uint32_t frint : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:15] */ + } hfir_bit; + }; + + /** + * @brief otgfs host frame number and time remaining register, offset:0x408 + */ + union + { + __IO uint32_t hfnum; + struct + { + __IO uint32_t frnum : 16; /* [15:0] */ + __IO uint32_t ftrem : 16; /* [31:15] */ + } hfnum_bit; + }; + + __IO uint32_t reserved1; + + /** + * @brief otgfs host periodic tx fifo request queue register, offset:0x410 + */ + union + { + __IO uint32_t hptxsts; + struct + { + __IO uint32_t ptxfspcavil : 16; /* [15:0] */ + __IO uint32_t ptxqspcavil : 8; /* [23:16] */ + __IO uint32_t ptxqtop : 8; /* [31:24] */ + } hptxsts_bit; + }; + + /** + * @brief otgfs host all channel interrupt register, offset:0x414 + */ + union + { + __IO uint32_t haint; + struct + { + __IO uint32_t haint : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [32:16] */ + } haint_bit; + }; + + /** + * @brief otgfs host all channel interrupt mask register, offset:0x418 + */ + union + { + __IO uint32_t haintmsk; + struct + { + __IO uint32_t haintmsk : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [32:16] */ + } haintmsk_bit; + }; + + __IO uint32_t reserved2[9]; + + /** + * @brief otgfs host port control and status register, offset:0x440 + */ + union + { + __IO uint32_t hprt; + struct + { + __IO uint32_t prtconsts : 1; /* [0] */ + __IO uint32_t prtcondet : 1; /* [1] */ + __IO uint32_t prtena : 1; /* [2] */ + __IO uint32_t prtenchng : 1; /* [3] */ + __IO uint32_t prtovrcact : 1; /* [4] */ + __IO uint32_t prtovrcchng : 1; /* [5] */ + __IO uint32_t prtres : 1; /* [6] */ + __IO uint32_t prtsusp : 1; /* [7] */ + __IO uint32_t prtrst : 1; /* [8] */ + __IO uint32_t reserved1 : 1; /* [9] */ + __IO uint32_t prtlnsts : 2; /* [11:10] */ + __IO uint32_t prtpwr : 1; /* [12] */ + __IO uint32_t prttsctl : 4; /* [16:13] */ + __IO uint32_t prtspd : 2; /* [18:17] */ + __IO uint32_t reserved2 : 13; /* [31:19] */ + + } hprt_bit; + }; +} otg_host_type; + +typedef struct +{ + /** + * @brief otgfs host channel x characterisic register, offset:0x500 + */ + union + { + __IO uint32_t hcchar; + struct + { + __IO uint32_t mps : 11; /* [10:0] */ + __IO uint32_t eptnum : 4; /* [14:11] */ + __IO uint32_t eptdir : 1; /* [15] */ + __IO uint32_t reserved1 : 1; /* [16] */ + __IO uint32_t lspddev : 1; /* [17] */ + __IO uint32_t eptype : 2; /* [19:18] */ + __IO uint32_t mc : 2; /* [21:20] */ + __IO uint32_t devaddr : 7; /* [28:22] */ + __IO uint32_t oddfrm : 1; /* [29] */ + __IO uint32_t chdis : 1; /* [30] */ + __IO uint32_t chena : 1; /* [31] */ + } hcchar_bit; + }; + + /** + * @brief otgfs host channel split control register, offset:0x504 + */ + union + { + __IO uint32_t hcsplt; + struct + { + __IO uint32_t prtaddr : 7; /* [6:0] */ + __IO uint32_t hubaddr : 7; /* [13:7] */ + __IO uint32_t xactpos : 2; /* [15:14] */ + __IO uint32_t compsplt : 1; /* [16] */ + __IO uint32_t reserved1 : 14; /* [30:17] */ + __IO uint32_t spltena : 1; /* [31] */ + } hcsplt_bit; + }; + + /** + * @brief otgfs host channel interrupt register, offset:0x508 + */ + union + { + __IO uint32_t hcint; + struct + { + __IO uint32_t xferc : 1; /* [0] */ + __IO uint32_t chhltd : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t stall : 1; /* [3] */ + __IO uint32_t nak : 1; /* [4] */ + __IO uint32_t ack : 1; /* [5] */ + __IO uint32_t reserved2 : 1; /* [6] */ + __IO uint32_t xacterr : 1; /* [7] */ + __IO uint32_t bblerr : 1; /* [8] */ + __IO uint32_t frmovrun : 1; /* [9] */ + __IO uint32_t dtglerr : 1; /* [10] */ + __IO uint32_t reserved3 : 21; /* [31:11] */ + } hcint_bit; + }; + + /** + * @brief otgfs host channel interrupt mask register, offset:0x50C + */ + union + { + __IO uint32_t hcintmsk; + struct + { + __IO uint32_t xfercmsk : 1; /* [0] */ + __IO uint32_t chhltdmsk : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t stallmsk : 1; /* [3] */ + __IO uint32_t nakmsk : 1; /* [4] */ + __IO uint32_t ackmsk : 1; /* [5] */ + __IO uint32_t reserved2 : 1; /* [6] */ + __IO uint32_t xacterrmsk : 1; /* [7] */ + __IO uint32_t bblerrmsk : 1; /* [8] */ + __IO uint32_t frmovrunmsk : 1; /* [9] */ + __IO uint32_t dtglerrmsk : 1; /* [10] */ + __IO uint32_t reserved3 : 21; /* [31:11] */ + } hcintmsk_bit; + }; + + /** + * @brief otgfs host channel transfer size register, offset:0x510 + */ + union + { + __IO uint32_t hctsiz; + struct + { + __IO uint32_t xfersize : 19; /* [18:0] */ + __IO uint32_t pktcnt : 10; /* [28:19] */ + __IO uint32_t pid : 2; /* [30:29] */ + __IO uint32_t reserved1 : 1; /* [31] */ + } hctsiz_bit; + }; + __IO uint32_t reserved3[3]; + +}otg_hchannel_type; + + +typedef struct +{ + /** + * @brief otgfs device configuration register, offset:0x800 + */ + union + { + __IO uint32_t dcfg; + struct + { + __IO uint32_t devspd : 2; /* [1:0] */ + __IO uint32_t nzstsouthshk : 1; /* [2] */ + __IO uint32_t reserved1 : 1; /* [3] */ + __IO uint32_t devaddr : 7; /* [10:4] */ + __IO uint32_t perfrint : 2; /* [12:11] */ + __IO uint32_t reserved2 : 19; /* [31:13] */ + } dcfg_bit; + }; + + /** + * @brief otgfs device controls register, offset:0x804 + */ + union + { + __IO uint32_t dctl; + struct + { + __IO uint32_t rwkupsig : 1; /* [0] */ + __IO uint32_t sftdiscon : 1; /* [1] */ + __IO uint32_t gnpinnaksts : 1; /* [2] */ + __IO uint32_t goutnaksts : 1; /* [3] */ + __IO uint32_t tstctl : 3; /* [6:4] */ + __IO uint32_t sgnpinak : 1; /* [7] */ + __IO uint32_t cgnpinak : 1; /* [8] */ + __IO uint32_t sgoutnak : 1; /* [9] */ + __IO uint32_t cgoutnak : 1; /* [10] */ + __IO uint32_t pwroprgdne : 1; /* [11] */ + __IO uint32_t reserved1 : 20; /* [31:12] */ + } dctl_bit; + }; + + /** + * @brief otgfs device status register, offset:0x80C + */ + union + { + __IO uint32_t dsts; + struct + { + __IO uint32_t suspsts : 1; /* [0] */ + __IO uint32_t enumspd : 2; /* [2:1] */ + __IO uint32_t eticerr : 1; /* [3] */ + __IO uint32_t reserved1 : 4; /* [7:4] */ + __IO uint32_t soffn : 14; /* [21:8] */ + __IO uint32_t reserved2 : 10; /* [31:22] */ + } dsts_bit; + }; + + __IO uint32_t reserved1; + /** + * @brief otgfs device in endpoint general interrupt mask register, offset:0x810 + */ + union + { + __IO uint32_t diepmsk; + struct + { + __IO uint32_t xfercmsk : 1; /* [0] */ + __IO uint32_t eptdismsk : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t timeoutmsk : 1; /* [3] */ + __IO uint32_t intkntxfempmsk : 1; /* [4] */ + __IO uint32_t intkneptmismsk : 1; /* [5] */ + __IO uint32_t ineptnakmsk : 1; /* [6] */ + __IO uint32_t reserved2 : 1; /* [7] */ + __IO uint32_t txfifoudrmsk : 1; /* [8] */ + __IO uint32_t bnainmsk : 1; /* [9] */ + __IO uint32_t reserved3 : 22; /* [31:10] */ + } diepmsk_bit; + }; + + /** + * @brief otgfs device out endpoint general interrupt mask register, offset:0x814 + */ + union + { + __IO uint32_t doepmsk; + struct + { + __IO uint32_t xfercmsk : 1; /* [0] */ + __IO uint32_t eptdismsk : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t setupmsk : 1; /* [3] */ + __IO uint32_t outtepdmsk : 1; /* [4] */ + __IO uint32_t reserved2 : 1; /* [5] */ + __IO uint32_t b2bsetupmsk : 1; /* [6] */ + __IO uint32_t reserved3 : 1; /* [7] */ + __IO uint32_t outperrmsk : 1; /* [8] */ + __IO uint32_t bnaoutmsk : 1; /* [9] */ + __IO uint32_t reserved4 : 22; /* [31:10] */ + } doepmsk_bit; + }; + + /** + * @brief otgfs device all endpoint interrupt register, offset:0x818 + */ + union + { + __IO uint32_t daint; + struct + { + __IO uint32_t ineptint : 16; /* [15:0] */ + __IO uint32_t outeptint : 16; /* [31:16] */ + } daint_bit; + }; + + /** + * @brief otgfs device all endpoint interrupt mask register, offset:0x81C + */ + union + { + __IO uint32_t daintmsk; + struct + { + __IO uint32_t ineptmsk : 16; /* [15:0] */ + __IO uint32_t outeptmsk : 16; /* [31:16] */ + } daintmsk_bit; + }; + + __IO uint32_t reserved2[5]; + + /** + * @brief otgfs device in endpoint fifo empty interrupt mask register, offset:0x834 + */ + union + { + __IO uint32_t diepempmsk; + struct + { + __IO uint32_t ineptxfemsk : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } diepempmsk_bit; + }; + +} otg_device_type; + +typedef struct +{ + /** + * @brief otgfs device out endpoint control register, offset:0x900 + */ + union + { + __IO uint32_t diepctl; + struct + { + __IO uint32_t mps : 11; /* [10:0] */ + __IO uint32_t reserved1 : 4; /* [14:11] */ + __IO uint32_t usbacept : 1; /* [15] */ + __IO uint32_t dpid : 1; /* [16] */ + __IO uint32_t naksts : 1; /* [17] */ + __IO uint32_t eptype : 2; /* [19:18] */ + __IO uint32_t reserved2 : 1; /* [20] */ + __IO uint32_t stall : 1; /* [21] */ + __IO uint32_t txfnum : 4; /* [25:22] */ + __IO uint32_t cnak : 1; /* [26] */ + __IO uint32_t snak : 1; /* [27] */ + __IO uint32_t setd0pid : 1; /* [28] */ + __IO uint32_t setd1pid : 1; /* [29] */ + __IO uint32_t eptdis : 1; /* [30] */ + __IO uint32_t eptena : 1; /* [31] */ + } diepctl_bit; + }; + __IO uint32_t reserved1; + + /** + * @brief otgfs device in endpoint interrupt register, offset:0x908 + */ + union + { + __IO uint32_t diepint; + struct + { + __IO uint32_t xferc : 1; /* [0] */ + __IO uint32_t epdisd : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t timeout : 1; /* [3] */ + __IO uint32_t intkntxfemp : 1; /* [4] */ + __IO uint32_t reserved2 : 1; /* [5] */ + __IO uint32_t ineptnak : 1; /* [6] */ + __IO uint32_t txfemp : 1; /* [7] */ + __IO uint32_t reserved3 : 24; /* [31:8] */ + } diepint_bit; + }; + __IO uint32_t reserved2; + + /** + * @brief otgfs device in endpoint transfer size register, offset:0x910 + endpoint number * 0x20 + */ + union + { + __IO uint32_t dieptsiz; + struct + { + __IO uint32_t xfersize : 19; /* [18:0] */ + __IO uint32_t pktcnt : 10; /* [28:19] */ + __IO uint32_t mc : 2; /* [30:29] */ + __IO uint32_t reserved1 : 1; /* [31] */ + } dieptsiz_bit; + }; + + __IO uint32_t reserved3; + + /** + * @brief otgfs device in endpoint tx fifo status register, offset:0x918 + endpoint number * 0x20 + */ + union + { + __IO uint32_t dtxfsts; + struct + { + __IO uint32_t ineptxfsav : 16; /* [15:0] */ + __IO uint32_t reserved1 : 16; /* [31:16] */ + } dtxfsts_bit; + }; + +} otg_eptin_type; + +typedef struct +{ + /** + * @brief otgfs device out endpoint control register, offset:0xb00 + endpoint number * 0x20 + */ + union + { + __IO uint32_t doepctl; + struct + { + __IO uint32_t mps : 11; /* [10:0] */ + __IO uint32_t reserved1 : 4; /* [14:11] */ + __IO uint32_t usbacept : 1; /* [15] */ + __IO uint32_t dpid : 1; /* [16] */ + __IO uint32_t naksts : 1; /* [17] */ + __IO uint32_t eptype : 2; /* [19:18] */ + __IO uint32_t snpm : 1; /* [20] */ + __IO uint32_t stall : 1; /* [21] */ + __IO uint32_t reserved2 : 4; /* [25:22] */ + __IO uint32_t cnak : 1; /* [26] */ + __IO uint32_t snak : 1; /* [27] */ + __IO uint32_t setd0pid : 1; /* [28] */ + __IO uint32_t setd1pid : 1; /* [29] */ + __IO uint32_t eptdis : 1; /* [30] */ + __IO uint32_t eptena : 1; /* [31] */ + } doepctl_bit; + }; + __IO uint32_t reserved1; + + /** + * @brief otgfs device out endpoint interrupt register, offset:0xb08 + endpoint number * 0x20 + */ + union + { + __IO uint32_t doepint; + struct + { + __IO uint32_t xferc : 1; /* [0] */ + __IO uint32_t epdisd : 1; /* [1] */ + __IO uint32_t reserved1 : 1; /* [2] */ + __IO uint32_t setup : 1; /* [3] */ + __IO uint32_t outtepd : 1; /* [4] */ + __IO uint32_t reserved2 : 1; /* [5] */ + __IO uint32_t b2pstup : 1; /* [6] */ + __IO uint32_t reserved3 : 25; /* [31:7] */ + } doepint_bit; + }; + __IO uint32_t reserved2; + + /** + * @brief otgfs device out endpoint transfer size register, offset:0xb10 + endpoint number * 0x20 + */ + union + { + __IO uint32_t doeptsiz; + struct + { + __IO uint32_t xfersize : 19; /* [18:0] */ + __IO uint32_t pktcnt : 10; /* [28:19] */ + __IO uint32_t rxdpid_setupcnt : 2; /* [30:29] */ + __IO uint32_t reserved1 : 1; /* [31] */ + } doeptsiz_bit; + }; +} otg_eptout_type; + +typedef struct +{ + /** + * @brief otgfs power and clock gating control registers, offset:0xe00 + */ + union + { + __IO uint32_t pcgcctl; + struct + { + __IO uint32_t stoppclk : 1; /* [0] */ + __IO uint32_t reserved1 : 3; /* [3:1] */ + __IO uint32_t suspendm : 1; /* [4] */ + __IO uint32_t reserved2 : 27; /* [31:5] */ + } pcgcctl_bit; + }; +} otg_pcgcctl_type; + +/** + * @} + */ + +/** @defgroup USB_exported_functions + * @{ + */ + +/** + * @brief usb host and device offset address + */ +#define OTG_HOST_ADDR_OFFSET 0x400 /*!< usb host register offset address */ +#define OTG_HOST_CHANNEL_ADDR_OFFSET 0x500 /*!< usb host channel register offset address */ +#define OTG_DEVICE_ADDR_OFFSET 0x800 /*!< usb device register offset address */ +#define OTG_DEVICE_EPTIN_ADDR_OFFSET 0x900 /*!< usb device endpoint in register offset address */ +#define OTG_DEVICE_EPTOUT_ADDR_OFFSET 0xB00 /*!< usb device endpoint out register offset address */ +#define OTG_PCGCCTL_ADDR_OFFSET 0xE00 /*!< usb power and clock control register offset address */ +#define OTG_FIFO_ADDR_OFFSET 0x1000 /*!< usb fifo offset address */ + +/** + * @brief usb host and device register define + */ +#define OTG1_GLOBAL ((otg_global_type *)(OTGFS1_BASE)) /*!< usb otg1 global register */ +#define OTG_PCGCCTL(usbx) ((otg_pcgcctl_type *)((uint32_t)usbx + OTG_PCGCCTL_ADDR_OFFSET)) /*!< usb power and clock control register */ +#define OTG_DEVICE(usbx) ((otg_device_type *)((uint32_t)usbx + OTG_DEVICE_ADDR_OFFSET)) /*!< usb device register */ +#define OTG_HOST(usbx) ((otg_host_type *)((uint32_t)usbx + OTG_HOST_ADDR_OFFSET)) /*!< usb host register */ +#define USB_CHL(usbx, n) ((otg_hchannel_type *)((uint32_t)usbx + OTG_HOST_CHANNEL_ADDR_OFFSET + n * 0x20)) /*!< usb channel n register */ +#define USB_INEPT(usbx, eptn) ((otg_eptin_type *)((uint32_t)usbx + OTG_DEVICE_EPTIN_ADDR_OFFSET + eptn * 0x20)) /*!< usb device endpoint in register */ +#define USB_OUTEPT(usbx, eptn) ((otg_eptout_type *)((uint32_t)usbx + OTG_DEVICE_EPTOUT_ADDR_OFFSET + eptn * 0x20)) /*!< usb device endpoint out register */ +#define USB_FIFO(usbx, eptn) *(__IO uint32_t *)((uint32_t)usbx + OTG_FIFO_ADDR_OFFSET + eptn * 0x1000) /*!< usb fifo address */ + + + +typedef otg_global_type usb_reg_type; + +/** @defgroup USB_exported_functions + * @{ + */ + +#ifdef OTGFS_USB_GLOBAL +error_status usb_global_reset(otg_global_type *usbx); +void usb_global_init(otg_global_type *usbx); +otg_global_type *usb_global_select_core(uint8_t usb_id); +void usb_flush_tx_fifo(otg_global_type *usbx, uint32_t fifo_num); +void usb_flush_rx_fifo(otg_global_type *usbx); +void usb_global_interrupt_enable(otg_global_type *usbx, uint16_t interrupt, confirm_state new_state); +uint32_t usb_global_get_all_interrupt(otg_global_type *usbx); +void usb_global_clear_interrupt(otg_global_type *usbx, uint32_t flag); +void usb_interrupt_enable(otg_global_type *usbx); +void usb_interrupt_disable(otg_global_type *usbx); +void usb_set_rx_fifo(otg_global_type *usbx, uint16_t size); +void usb_set_tx_fifo(otg_global_type *usbx, uint8_t txfifo, uint16_t size); +void usb_global_set_mode(otg_global_type *usbx, uint32_t mode); +void usb_global_power_on(otg_global_type *usbx); +void usb_write_packet(otg_global_type *usbx, uint8_t *pusr_buf, uint16_t num, uint16_t nbytes); +void usb_read_packet(otg_global_type *usbx, uint8_t *pusr_buf, uint16_t num, uint16_t nbytes); +void usb_stop_phy_clk(otg_global_type *usbx); +void usb_open_phy_clk(otg_global_type *usbx); +#endif + +#ifdef OTGFS_USB_DEVICE +void usb_ept_open(otg_global_type *usbx, usb_ept_info *ept_info); +void usb_ept_close(otg_global_type *usbx, usb_ept_info *ept_info); +void usb_ept_stall(otg_global_type *usbx, usb_ept_info *ept_info); +void usb_ept_clear_stall(otg_global_type *usbx, usb_ept_info *ept_info); +uint32_t usb_get_all_out_interrupt(otg_global_type *usbx); +uint32_t usb_get_all_in_interrupt(otg_global_type *usbx); +uint32_t usb_ept_out_interrupt(otg_global_type *usbx, uint32_t eptn); +uint32_t usb_ept_in_interrupt(otg_global_type *usbx, uint32_t eptn); +void usb_ept_out_clear(otg_global_type *usbx, uint32_t eptn, uint32_t flag); +void usb_ept_in_clear(otg_global_type *usbx, uint32_t eptn, uint32_t flag); +void usb_set_address(otg_global_type *usbx, uint8_t address); +void usb_ept0_start(otg_global_type *usbx); +void usb_ept0_setup(otg_global_type *usbx); +void usb_connect(otg_global_type *usbx); +void usb_disconnect(otg_global_type *usbx); +void usb_remote_wkup_set(otg_global_type *usbx); +void usb_remote_wkup_clear(otg_global_type *usbx); +uint8_t usb_suspend_status_get(otg_global_type *usbx); +#endif + +#ifdef OTGFS_USB_HOST +void usb_port_power_on(otg_global_type *usbx, confirm_state state); +uint32_t usbh_get_frame(otg_global_type *usbx); +void usb_hc_enable(otg_global_type *usbx, + uint8_t chn, + uint8_t ept_num, + uint8_t dev_address, + uint8_t type, + uint16_t maxpacket, + uint8_t speed); +uint32_t usb_hch_read_interrupt(otg_global_type *usbx); +void usb_host_disable(otg_global_type *usbx); +void usb_hch_halt(otg_global_type *usbx, uint8_t chn); +void usbh_fsls_clksel(otg_global_type *usbx, uint8_t clk); +#endif +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_wdt.h b/Firmware/drivers/inc/at32a423_wdt.h new file mode 100644 index 0000000..4bf7699 --- /dev/null +++ b/Firmware/drivers/inc/at32a423_wdt.h @@ -0,0 +1,195 @@ +/** + ************************************************************************** + * @file at32a423_wdt.h + * @brief at32a423 wdt header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_WDT_H +#define __AT32A423_WDT_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup WDT + * @{ + */ + + +/** @defgroup WDT_flags_definition + * @brief wdt flag + * @{ + */ + +#define WDT_DIVF_UPDATE_FLAG ((uint16_t)0x0001) /*!< wdt division value update complete flag */ +#define WDT_RLDF_UPDATE_FLAG ((uint16_t)0x0002) /*!< wdt reload value update complete flag */ +#define WDT_WINF_UPDATE_FLAG ((uint16_t)0x0004) /*!< wdt window value update complete flag */ + +/** + * @} + */ + +/** @defgroup WDT_exported_types + * @{ + */ + +/** + * @brief wdt division value type + */ +typedef enum +{ + WDT_CLK_DIV_4 = 0x00, /*!< wdt clock divider value is 4 */ + WDT_CLK_DIV_8 = 0x01, /*!< wdt clock divider value is 8 */ + WDT_CLK_DIV_16 = 0x02, /*!< wdt clock divider value is 16 */ + WDT_CLK_DIV_32 = 0x03, /*!< wdt clock divider value is 32 */ + WDT_CLK_DIV_64 = 0x04, /*!< wdt clock divider value is 64 */ + WDT_CLK_DIV_128 = 0x05, /*!< wdt clock divider value is 128 */ + WDT_CLK_DIV_256 = 0x06 /*!< wdt clock divider value is 256 */ +} wdt_division_type; + +/** + * @brief wdt cmd value type + */ +typedef enum +{ + WDT_CMD_LOCK = 0x0000, /*!< disable write protection command */ + WDT_CMD_UNLOCK = 0x5555, /*!< enable write protection command */ + WDT_CMD_ENABLE = 0xCCCC, /*!< enable wdt command */ + WDT_CMD_RELOAD = 0xAAAA /*!< reload command */ +} wdt_cmd_value_type; + +/** + * @brief type define wdt register all + */ +typedef struct +{ + + /** + * @brief wdt cmd register, offset:0x00 + */ + union + { + __IO uint32_t cmd; + struct + { + __IO uint32_t cmd : 16;/* [15:0] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } cmd_bit; + }; + + /** + * @brief wdt div register, offset:0x04 + */ + union + { + __IO uint32_t div; + struct + { + __IO uint32_t div : 3; /* [2:0] */ + __IO uint32_t reserved1 : 29;/* [31:3] */ + } div_bit; + }; + + /** + * @brief wdt rld register, offset:0x08 + */ + union + { + __IO uint32_t rld; + struct + { + __IO uint32_t rld : 12;/* [11:0] */ + __IO uint32_t reserved1 : 20;/* [31:12] */ + } rld_bit; + }; + + /** + * @brief wdt sts register, offset:0x0C + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t divf : 1; /* [0] */ + __IO uint32_t rldf : 1; /* [1] */ + __IO uint32_t reserved1 : 30;/* [31:2] */ + } sts_bit; + }; + + /** + * @brief wdt win register, offset:0x10 + */ + union + { + __IO uint32_t win; + struct + { + __IO uint32_t win : 12;/* [11:0] */ + __IO uint32_t reserved1 : 20;/* [31:12] */ + } win_bit; + }; +} wdt_type; + +/** + * @} + */ + +#define WDT ((wdt_type *) WDT_BASE) + +/** @defgroup WDT_exported_functions + * @{ + */ + +void wdt_enable(void); +void wdt_counter_reload(void); +void wdt_reload_value_set(uint16_t reload_value); +void wdt_divider_set(wdt_division_type division); +void wdt_register_write_enable( confirm_state new_state); +flag_status wdt_flag_get(uint16_t wdt_flag); +void wdt_window_counter_set(uint16_t window_cnt); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_wwdt.h b/Firmware/drivers/inc/at32a423_wwdt.h new file mode 100644 index 0000000..55e634d --- /dev/null +++ b/Firmware/drivers/inc/at32a423_wwdt.h @@ -0,0 +1,157 @@ +/** + ************************************************************************** + * @file at32a423_wwdt.h + * @brief at32a423 wwdt header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_WWDT_H +#define __AT32A423_WWDT_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup WWDT + * @{ + */ + +/** @defgroup WWDT_enable_bit_definition + * @brief wwdt enable bit + * @{ + */ + +#define WWDT_EN_BIT ((uint32_t)0x00000080) /*!< wwdt enable bit */ + +/** + * @} + */ + +/** @defgroup WWDT_exported_types + * @{ + */ + +/** + * @brief wwdt division type + */ +typedef enum +{ + WWDT_PCLK1_DIV_4096 = 0x00, /*!< wwdt counter clock = (pclk1/4096)/1) */ + WWDT_PCLK1_DIV_8192 = 0x01, /*!< wwdt counter clock = (pclk1/4096)/2) */ + WWDT_PCLK1_DIV_16384 = 0x02, /*!< wwdt counter clock = (pclk1/4096)/4) */ + WWDT_PCLK1_DIV_32768 = 0x03 /*!< wwdt counter clock = (pclk1/4096)/8) */ +} wwdt_division_type; + +/** + * @brief type define wwdt register all + */ +typedef struct +{ + + /** + * @brief wwdt ctrl register, offset:0x00 + */ + union + { + __IO uint32_t ctrl; + struct + { + __IO uint32_t cnt : 7; /* [6:0] */ + __IO uint32_t wwdten : 1; /* [7] */ + __IO uint32_t reserved1 : 24;/* [31:8] */ + } ctrl_bit; + }; + + /** + * @brief wwdt cfg register, offset:0x04 + */ + union + { + __IO uint32_t cfg; + struct + { + __IO uint32_t win : 7; /* [6:0] */ + __IO uint32_t div : 2; /* [8:7] */ + __IO uint32_t rldien : 1; /* [9] */ + __IO uint32_t reserved1 : 22;/* [31:10] */ + } cfg_bit; + }; + + /** + * @brief wwdt cfg register, offset:0x08 + */ + union + { + __IO uint32_t sts; + struct + { + __IO uint32_t rldf : 1; /* [0] */ + __IO uint32_t reserved1 : 31;/* [31:1] */ + } sts_bit; + }; + +} wwdt_type; + +/** + * @} + */ + +#define WWDT ((wwdt_type *) WWDT_BASE) + +/** @defgroup WWDT_exported_functions + * @{ + */ + +void wwdt_reset(void); +void wwdt_divider_set(wwdt_division_type division); +void wwdt_flag_clear(void); +void wwdt_enable(uint8_t wwdt_cnt); +void wwdt_interrupt_enable(void); +flag_status wwdt_flag_get(void); +flag_status wwdt_interrupt_flag_get(void); +void wwdt_counter_set(uint8_t wwdt_cnt); +void wwdt_window_counter_set(uint8_t window_cnt); + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/inc/at32a423_xmc.h b/Firmware/drivers/inc/at32a423_xmc.h new file mode 100644 index 0000000..7a8695f --- /dev/null +++ b/Firmware/drivers/inc/at32a423_xmc.h @@ -0,0 +1,390 @@ +/** + ************************************************************************** + * @file at32a423_xmc.h + * @brief at32a423 xmc header file + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* Define to prevent recursive inclusion -------------------------------------*/ +#ifndef __AT32A423_XMC_H +#define __AT32A423_XMC_H + +#ifdef __cplusplus +extern "C" { +#endif + + +/* Includes ------------------------------------------------------------------*/ +#include "at32a423.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @addtogroup XMC + * @{ + */ + +/** @defgroup XMC_exported_types + * @{ + */ + +/** + * @brief xmc data address bus multiplexing type + */ +typedef enum +{ + XMC_DATA_ADDR_MUX_DISABLE = 0x00000000, /*!< xmc address/data multiplexing disable */ + XMC_DATA_ADDR_MUX_ENABLE = 0x00000002 /*!< xmc address/data multiplexing enable */ +} xmc_data_addr_mux_type; + +/** + * @brief xmc burst access mode type + */ +typedef enum +{ + XMC_BURST_MODE_DISABLE = 0x00000000, /*!< xmc burst mode disable */ + XMC_BURST_MODE_ENABLE = 0x00000100 /*!< xmc burst mode enable */ +} xmc_burst_access_mode_type; + +/** + * @brief xmc asynchronous wait type + */ +typedef enum +{ + XMC_ASYN_WAIT_DISABLE = 0x00000000, /*!< xmc wait signal during asynchronous transfers disbale */ + XMC_ASYN_WAIT_ENABLE = 0x00008000 /*!< xmc wait signal during asynchronous transfers enable */ +} xmc_asyn_wait_type; + +/** + * @brief xmc wrapped mode type + */ +typedef enum +{ + XMC_WRAPPED_MODE_DISABLE = 0x00000000, /*!< xmc direct wrapped burst is disbale */ + XMC_WRAPPED_MODE_ENABLE = 0x00000400 /*!< xmc direct wrapped burst is enable */ +} xmc_wrap_mode_type; + +/** + * @brief xmc write operation type + */ +typedef enum +{ + XMC_WRITE_OPERATION_DISABLE = 0x00000000, /*!< xmc write operations is disable */ + XMC_WRITE_OPERATION_ENABLE = 0x00001000 /*!< xmc write operations is enable */ +} xmc_write_operation_type; + +/** + * @brief xmc wait signal type + */ +typedef enum +{ + XMC_WAIT_SIGNAL_DISABLE = 0x00000000, /*!< xmc nwait signal is disable */ + XMC_WAIT_SIGNAL_ENABLE = 0x00002000 /*!< xmc nwait signal is enable */ +} xmc_wait_signal_type; + +/** + * @brief xmc write burst type + */ +typedef enum +{ + XMC_WRITE_BURST_SYN_DISABLE = 0x00000000, /*!< xmc write operations are always performed in asynchronous mode */ + XMC_WRITE_BURST_SYN_ENABLE = 0x00080000 /*!< xmc write operations are performed in synchronous mode */ +} xmc_write_burst_type; + +/** + * @brief xmc extended mode type + */ +typedef enum +{ + XMC_WRITE_TIMING_DISABLE = 0x00000000, /*!< xmc write timing disable */ + XMC_WRITE_TIMING_ENABLE = 0x00004000 /*!< xmc write timing enable */ +} xmc_extended_mode_type; + +/** + * @brief xmc pccard wait type + */ +typedef enum +{ + XMC_WAIT_OPERATION_DISABLE = 0x00000000, /*!< xmc wait operation for the pc card/nand flash memory bank disable */ + XMC_WAIT_OPERATION_ENABLE = 0x00000002 /*!< xmc wait operation for the pc card/nand flash memory bank enable */ +} xmc_nand_pccard_wait_type; + +/** + * @brief xmc ecc enable type + */ +typedef enum +{ + XMC_ECC_OPERATION_DISABLE = 0x00000000, /*!< xmc ecc module disable */ + XMC_ECC_OPERATION_ENABLE = 0x00000040 /*!< xmc ecc module enable */ +} xmc_ecc_enable_type; + +/** + * @brief xmc nor/sram subbank type + */ +typedef enum +{ + XMC_BANK1_NOR_SRAM1 = 0x00000000, /*!< xmc nor/sram subbank1 */ + XMC_BANK1_NOR_SRAM2 = 0x00000001, /*!< xmc nor/sram subbank2 */ + XMC_BANK1_NOR_SRAM3 = 0x00000002, /*!< xmc nor/sram subbank3 */ + XMC_BANK1_NOR_SRAM4 = 0x00000003 /*!< xmc nor/sram subbank4 */ +} xmc_nor_sram_subbank_type; + +/** + * @brief xmc memory type + */ +typedef enum +{ + XMC_DEVICE_SRAM = 0x00000000, /*!< xmc device choice sram */ + XMC_DEVICE_PSRAM = 0x00000004, /*!< xmc device choice psram */ + XMC_DEVICE_NOR = 0x00000008 /*!< xmc device choice nor flash */ +} xmc_memory_type; + +/** + * @brief xmc data width type + */ +typedef enum +{ + XMC_BUSTYPE_8_BITS = 0x00000000, /*!< xmc databuss width 8bits */ + XMC_BUSTYPE_16_BITS = 0x00000010 /*!< xmc databuss width 16bits */ +} xmc_data_width_type; + +/** + * @brief xmc wait signal polarity type + */ +typedef enum +{ + XMC_WAIT_SIGNAL_LEVEL_LOW = 0x00000000, /*!< xmc nwait active low */ + XMC_WAIT_SIGNAL_LEVEL_HIGH = 0x00000200 /*!< xmc nwait active high */ +} xmc_wait_signal_polarity_type; + +/** + * @brief xmc wait timing type + */ +typedef enum +{ + XMC_WAIT_SIGNAL_SYN_BEFORE = 0x00000000, /*!< xmc nwait signal is active one data cycle before wait state */ + XMC_WAIT_SIGNAL_SYN_DURING = 0x00000800 /*!< xmc nwait signal is active during wait state */ +} xmc_wait_timing_type; + +/** + * @brief xmc access mode type + */ +typedef enum +{ + XMC_ACCESS_MODE_A = 0x00000000, /*!< xmc access mode A */ + XMC_ACCESS_MODE_B = 0x10000000, /*!< xmc access mode B */ + XMC_ACCESS_MODE_C = 0x20000000, /*!< xmc access mode C */ + XMC_ACCESS_MODE_D = 0x30000000 /*!< xmc access mode D */ +} xmc_access_mode_type; + +/** + * @brief nor/sram banks timing parameters + */ +typedef struct +{ + xmc_nor_sram_subbank_type subbank; /*!< xmc nor/sram subbank */ + xmc_extended_mode_type write_timing_enable; /*!< xmc nor/sram write timing enable */ + uint32_t addr_setup_time; /*!< xmc nor/sram address setup time */ + uint32_t addr_hold_time; /*!< xmc nor/sram address hold time */ + uint32_t data_setup_time; /*!< xmc nor/sram data setup time */ + uint32_t bus_latency_time; /*!< xmc nor/sram bus latency time */ + uint32_t clk_psc; /*!< xmc nor/sram clock prescale */ + uint32_t data_latency_time; /*!< xmc nor/sram data latency time */ + xmc_access_mode_type mode; /*!< xmc nor/sram access mode */ +} xmc_norsram_timing_init_type; + +/** + * @brief xmc nor/sram init structure definition + */ +typedef struct +{ + xmc_nor_sram_subbank_type subbank; /*!< xmc nor/sram subbank */ + xmc_data_addr_mux_type data_addr_multiplex; /*!< xmc nor/sram address/data multiplexing enable */ + xmc_memory_type device; /*!< xmc nor/sram memory device */ + xmc_data_width_type bus_type; /*!< xmc nor/sram data bus width */ + xmc_burst_access_mode_type burst_mode_enable; /*!< xmc nor/sram burst mode enable */ + xmc_asyn_wait_type asynwait_enable; /*!< xmc nor/sram nwait in asynchronous transfer enable */ + xmc_wait_signal_polarity_type wait_signal_lv; /*!< xmc nor/sram nwait polarity */ + xmc_wrap_mode_type wrapped_mode_enable; /*!< xmc nor/sram wrapped enable */ + xmc_wait_timing_type wait_signal_config; /*!< xmc nor/sram nwait timing configuration */ + xmc_write_operation_type write_enable; /*!< xmc nor/sram write enable */ + xmc_wait_signal_type wait_signal_enable; /*!< xmc nor/sram nwait in synchronous transfer enable */ + xmc_extended_mode_type write_timing_enable; /*!< xmc nor/sram read-write timing different */ + xmc_write_burst_type write_burst_syn; /*!< xmc nor/sram memory write mode control */ +} xmc_norsram_init_type; + +typedef struct +{ + /** + * @brief xmc bank1 bk1ctrl register, offset:0x00+0x08*(x-1) x= 1...4 + */ + union + { + __IO uint32_t bk1ctrl; + struct + { + __IO uint32_t en : 1; /* [0] */ + __IO uint32_t admuxen : 1; /* [1] */ + __IO uint32_t dev : 2; /* [3:2] */ + __IO uint32_t extmdbw : 2; /* [5:4] */ + __IO uint32_t noren : 1; /* [6] */ + __IO uint32_t reserved1 : 1; /* [7] */ + __IO uint32_t syncben : 1; /* [8] */ + __IO uint32_t nwpol : 1; /* [9] */ + __IO uint32_t wrapen : 1; /* [10] */ + __IO uint32_t nwtcfg : 1; /* [11] */ + __IO uint32_t wen : 1; /* [12] */ + __IO uint32_t nwsen : 1; /* [13] */ + __IO uint32_t rwtd : 1; /* [14] */ + __IO uint32_t nwasen : 1; /* [15] */ + __IO uint32_t crpgs : 3; /* [18:16] */ + __IO uint32_t mwmc : 1; /* [19] */ + __IO uint32_t reserved2 : 12;/* [31:20] */ + } bk1ctrl_bit; + }; + + /** + * @brief xmc bank1 bk1tmg register, offset:0x04+0x08*(x-1) x= 1...4 + */ + union + { + __IO uint32_t bk1tmg; + struct + { + __IO uint32_t addrst : 4; /* [3:0] */ + __IO uint32_t addrht : 4; /* [7:4] */ + __IO uint32_t dtst : 8; /* [15:8] */ + __IO uint32_t buslat : 4; /* [19:16] */ + __IO uint32_t clkpsc : 4; /* [23:20] */ + __IO uint32_t dtlat : 4; /* [27:24] */ + __IO uint32_t asyncm : 2; /* [29:28] */ + __IO uint32_t reserved1 : 2; /* [31:30] */ + } bk1tmg_bit; + }; + +} xmc_bank1_ctrl_tmg_reg_type; + +typedef struct +{ + /** + * @brief xmc bank1 bk1tmgwr register, offset:0x104+0x08*(x-1) x= 1...4 + */ + union + { + __IO uint32_t bk1tmgwr; + struct + { + __IO uint32_t addrst : 4; /* [3:0] */ + __IO uint32_t addrht : 4; /* [7:4] */ + __IO uint32_t dtst : 8; /* [15:8] */ + __IO uint32_t buslat : 4; /* [19:16] */ + __IO uint32_t reserved1 : 8; /* [27:20] */ + __IO uint32_t asyncm : 2; /* [29:28] */ + __IO uint32_t reserved2 : 2; /* [31:30] */ + } bk1tmgwr_bit; + }; + + /** + * @brief xmc bank1 reserved register + */ + __IO uint32_t reserved1; + +} xmc_bank1_tmgwr_reg_type; + +/** + * @brief xmc bank1 registers + */ +typedef struct +{ + /** + * @brief xmc bank1 ctrl and tmg register, offset:0x00~0x1C + */ + xmc_bank1_ctrl_tmg_reg_type ctrl_tmg_group[4]; + + /** + * @brief xmc bank1 reserved register, offset:0x20~0x100 + */ + __IO uint32_t reserved1[57]; + + /** + * @brief xmc bank1 tmgwr register, offset:0x104~0x11C + */ + xmc_bank1_tmgwr_reg_type tmgwr_group[4]; + + /** + * @brief xmc bank1 reserved register, offset:0x120~0x21C + */ + __IO uint32_t reserved2[63]; + + /** + * @brief xmc bank1 ext register, offset:0x220~0x22C + */ + union + { + __IO uint32_t ext[4]; + struct + { + __IO uint32_t buslatw2w : 8; /* [7:0] */ + __IO uint32_t buslatr2r : 8; /* [15:8] */ + __IO uint32_t reserved1 : 16;/* [31:16] */ + } ext_bit[4]; + }; + +} xmc_bank1_type; + +/** + * @} + */ + +#define XMC_BANK1 ((xmc_bank1_type *) XMC_BANK1_REG_BASE) + +/** @defgroup XMC_exported_functions + * @{ + */ + +void xmc_nor_sram_reset(xmc_nor_sram_subbank_type xmc_subbank); +void xmc_nor_sram_init(xmc_norsram_init_type* xmc_norsram_init_struct); +void xmc_nor_sram_timing_config(xmc_norsram_timing_init_type* xmc_rw_timing_struct, + xmc_norsram_timing_init_type* xmc_w_timing_struct); +void xmc_norsram_default_para_init(xmc_norsram_init_type* xmc_nor_sram_init_struct); +void xmc_norsram_timing_default_para_init(xmc_norsram_timing_init_type* xmc_rw_timing_struct, + xmc_norsram_timing_init_type* xmc_w_timing_struct); +void xmc_nor_sram_enable(xmc_nor_sram_subbank_type xmc_subbank, confirm_state new_state); +void xmc_ext_timing_config(volatile xmc_nor_sram_subbank_type xmc_sub_bank, uint16_t w2w_timing, uint16_t r2r_timing); + + +/** + * @} + */ + +/** + * @} + */ + +/** + * @} + */ + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Firmware/drivers/src/at32a423_acc.c b/Firmware/drivers/src/at32a423_acc.c new file mode 100644 index 0000000..8df2d98 --- /dev/null +++ b/Firmware/drivers/src/at32a423_acc.c @@ -0,0 +1,233 @@ +/** + ************************************************************************** + * @file at32a423_acc.c + * @brief contains all the functions for the acc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup ACC + * @brief ACC driver modules + * @{ + */ + +#ifdef ACC_MODULE_ENABLED + +/** @defgroup ACC_private_functions + * @{ + */ + +/** + * @brief enable or disable the acc calibration mode. + * @param acc_trim: specifies the acc calibration type. + * this parameter can be one of the following values: + * - ACC_CAL_HICKCAL + * - ACC_CAL_HICKTRIM + * @param new_state: specifies the acc calibration to be enabled or disabled.(TRUE or FALSE) + * @retval none + */ +void acc_calibration_mode_enable(uint16_t acc_trim, confirm_state new_state) +{ + if(acc_trim == ACC_CAL_HICKCAL) + { + ACC->ctrl1_bit.entrim = FALSE; + } + else + { + ACC->ctrl1_bit.entrim = TRUE; + } + ACC->ctrl1_bit.calon = new_state; +} + +/** + * @brief store calibration step data in acc's ctrl1 register. + * @param step_value: value to be stored in the acc's ctrl1 register + * @retval none + */ +void acc_step_set(uint8_t step_value) +{ + ACC->ctrl1_bit.step = step_value; +} + + +/** + * @brief enable or disable the specified acc interrupts. + * @param acc_int: specifies the acc interrupt sources to be enabled or disabled. + * this parameter can be one of the following values: + * - ACC_CALRDYIEN_INT + * - ACC_EIEN_INT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void acc_interrupt_enable(uint16_t acc_int, confirm_state new_state) +{ + if(acc_int == ACC_CALRDYIEN_INT) + { + ACC->ctrl1_bit.calrdyien = new_state; + } + else + { + ACC->ctrl1_bit.eien = new_state; + } +} + +/** + * @brief return the current acc hicktrim value. + * @param none + * @retval 8-bit hicktrim value. + */ +uint8_t acc_hicktrim_get(void) +{ + return ((uint8_t)(ACC->ctrl2_bit.hicktrim)); +} + +/** + * @brief return the current acc hickcal value. + * @param none + * @retval 8-bit hicktrim value. + */ +uint8_t acc_hickcal_get(void) +{ + return ((uint8_t)(ACC->ctrl2_bit.hickcal)); +} + +/** + * @brief wtire the value to acc c1 register. + * @param acc_c1_value + * @retval none. + */ +void acc_write_c1(uint16_t acc_c1_value) +{ + ACC->c1 = acc_c1_value; +} + +/** + * @brief wtire the value to acc c2 register. + * @param acc_c2_value + * @retval none. + */ +void acc_write_c2(uint16_t acc_c2_value) +{ + ACC->c2 = acc_c2_value; +} + +/** + * @brief wtire the value to acc c3 register. + * @param acc_c3_value + * @retval none. + */ +void acc_write_c3(uint16_t acc_c3_value) +{ + ACC->c3 = acc_c3_value; +} + +/** + * @brief return the current acc c1 value. + * @param none + * @retval 16-bit c1 value. + */ +uint16_t acc_read_c1(void) +{ + return ((uint16_t)(ACC->c1)); +} + +/** + * @brief return the current acc c2 value. + * @param none + * @retval 16-bit c2 value. + */ +uint16_t acc_read_c2(void) +{ + return ((uint16_t)(ACC->c2)); +} + +/** + * @brief return the current acc c3 value. + * @param none + * @retval 16-bit c3 value. + */ +uint16_t acc_read_c3(void) +{ + return ((uint16_t)(ACC->c3)); +} + +/** + * @brief check whether the specified acc flag is set or not. + * @param acc_flag: specifies the flag to check. + * this parameter can be one of the following values: + * - ACC_RSLOST_FLAG + * - ACC_CALRDY_FLAG + * @retval flag_status (SET or RESET) + */ +flag_status acc_flag_get(uint16_t acc_flag) +{ + if(acc_flag == ACC_CALRDY_FLAG) + return (flag_status)(ACC->sts_bit.calrdy); + else + return (flag_status)(ACC->sts_bit.rslost); +} + +/** + * @brief check whether the specified acc interrupt flag is set or not. + * @param acc_flag: specifies the flag to check. + * this parameter can be one of the following values: + * - ACC_RSLOST_FLAG + * - ACC_CALRDY_FLAG + * @retval flag_status (SET or RESET) + */ +flag_status acc_interrupt_flag_get(uint16_t acc_flag) +{ + if(acc_flag == ACC_CALRDY_FLAG) + return (flag_status)(ACC->sts_bit.calrdy && ACC->ctrl1_bit.calrdyien); + else + return (flag_status)(ACC->sts_bit.rslost && ACC->ctrl1_bit.eien); +} + +/** + * @brief clear the specified acc flag is set or not. + * @param acc_flag: specifies the flag to check. + * this parameter can be any combination of the following values: + * - ACC_RSLOST_FLAG + * - ACC_CALRDY_FLAG + * @retval none + */ +void acc_flag_clear(uint16_t acc_flag) +{ + ACC->sts = ~acc_flag; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_adc.c b/Firmware/drivers/src/at32a423_adc.c new file mode 100644 index 0000000..5cd6ca8 --- /dev/null +++ b/Firmware/drivers/src/at32a423_adc.c @@ -0,0 +1,1064 @@ +/** + ************************************************************************** + * @file at32a423_adc.c + * @brief contains all the functions for the adc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup ADC + * @brief ADC driver modules + * @{ + */ + +#ifdef ADC_MODULE_ENABLED + +/** @defgroup ADC_private_functions + * @{ + */ + +/** + * @brief deinitialize the adc peripheral registers to their default reset values. + * @param none + * @retval none + */ +void adc_reset(void) +{ + crm_periph_reset(CRM_ADC_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_ADC_PERIPH_RESET, FALSE); +} + +/** + * @brief enable or disable the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of a/d converter. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.adcen = new_state; +} + +/** + * @brief adc base default para init. + * @param sequence_mode: set the state of adc sequence mode. + * this parameter can be:TRUE or FALSE + * @param repeat_mode: set the state of adc repeat conversion mode. + * this parameter can be:TRUE or FALSE + * @param data_align: set the state of adc data alignment. + * this parameter can be one of the following values: + * - ADC_RIGHT_ALIGNMENT + * - ADC_LEFT_ALIGNMENT + * @param ordinary_channel_length: configure the adc ordinary channel sequence length. + * this parameter can be: + * - (0x1~0x20) + * @retval none + */ +void adc_base_default_para_init(adc_base_config_type *adc_base_struct) +{ + adc_base_struct->sequence_mode = FALSE; + adc_base_struct->repeat_mode = FALSE; + adc_base_struct->data_align = ADC_RIGHT_ALIGNMENT; + adc_base_struct->ordinary_channel_length = 1; +} + +/** + * @brief initialize the adc peripheral according to the specified parameters. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param sequence_mode: set the state of adc sequence mode. + * this parameter can be:TRUE or FALSE + * @param repeat_mode: set the state of adc repeat conversion mode. + * this parameter can be:TRUE or FALSE + * @param data_align: set the state of adc data alignment. + * this parameter can be one of the following values: + * - ADC_RIGHT_ALIGNMENT + * - ADC_LEFT_ALIGNMENT + * @param ordinary_channel_length: configure the adc ordinary channel sequence length. + * this parameter can be: + * - (0x1~0x20) + * @retval none + */ +void adc_base_config(adc_type *adc_x, adc_base_config_type *adc_base_struct) +{ + adc_x->ctrl1_bit.sqen = adc_base_struct->sequence_mode; + adc_x->ctrl2_bit.rpen = adc_base_struct->repeat_mode; + adc_x->ctrl2_bit.dtalign = adc_base_struct->data_align; + adc_x->osq1_bit.oclen = adc_base_struct->ordinary_channel_length - 1; + adc_x->misc = 0x09; +} + +/** + * @brief adc common default para init. + * @param div: configure the adc division. + * this parameter can be one of the following values: + * - ADC_HCLK_DIV_2 - ADC_HCLK_DIV_3 - ADC_HCLK_DIV_4 - ADC_HCLK_DIV_5 + * - ADC_HCLK_DIV_6 - ADC_HCLK_DIV_7 - ADC_HCLK_DIV_8 - ADC_HCLK_DIV_9 + * - ADC_HCLK_DIV_10 - ADC_HCLK_DIV_11 - ADC_HCLK_DIV_12 - ADC_HCLK_DIV_13 + * - ADC_HCLK_DIV_14 - ADC_HCLK_DIV_15 - ADC_HCLK_DIV_16 - ADC_HCLK_DIV_17 + * @param tempervintrv_state: set the adc temperature sensor and vintrv state. + * this parameter can be:TRUE or FALSE + * @retval none + */ +void adc_common_default_para_init(adc_common_config_type *adc_common_struct) +{ + adc_common_struct->div = ADC_HCLK_DIV_2; + adc_common_struct->tempervintrv_state = FALSE; +} + +/** + * @brief adc common default para init. + * - ADC_PREEMPT_INTERLTRIG_ONLY_TWOSLAVE_MODE + * @param div: configure the adc division. + * this parameter can be one of the following values: + * - ADC_HCLK_DIV_2 - ADC_HCLK_DIV_3 - ADC_HCLK_DIV_4 - ADC_HCLK_DIV_5 + * - ADC_HCLK_DIV_6 - ADC_HCLK_DIV_7 - ADC_HCLK_DIV_8 - ADC_HCLK_DIV_9 + * - ADC_HCLK_DIV_10 - ADC_HCLK_DIV_11 - ADC_HCLK_DIV_12 - ADC_HCLK_DIV_13 + * - ADC_HCLK_DIV_14 - ADC_HCLK_DIV_15 - ADC_HCLK_DIV_16 - ADC_HCLK_DIV_17 + * @param tempervintrv_state: set the adc temperature sensor and vintrv state. + * this parameter can be:TRUE or FALSE + * @retval none + */ +void adc_common_config(adc_common_config_type *adc_common_struct) +{ + ADCCOM->cctrl_bit.adcdiv = adc_common_struct->div; + ADCCOM->cctrl_bit.itsrven = adc_common_struct->tempervintrv_state; +} + +/** + * @brief set resolution of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param resolution: set the conversion resolution. + * this parameter can be one of the following values: + * - ADC_RESOLUTION_12B + * - ADC_RESOLUTION_10B + * - ADC_RESOLUTION_8B + * - ADC_RESOLUTION_6B + * @retval none + */ +void adc_resolution_set(adc_type *adc_x, adc_resolution_type resolution) +{ + adc_x->ctrl1_bit.crsel = resolution; +} + + +/** + * @brief enable or disable the adc dma transfer. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of the adc dma transfer. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_dma_mode_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.ocdmaen = new_state; +} + +/** + * @brief enable or disable the adc dma request repeat. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: the adc dma request repeat state. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_dma_request_repeat_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.ocdrcen = new_state; +} + +/** + * @brief enable or disable the specified adc interrupts. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_int: specifies the adc interrupt sources to be enabled or disabled. + * this parameter can be one of the following values: + * - ADC_OCCE_INT + * - ADC_VMOR_INT + * - ADC_PCCE_INT + * - ADC_OCCO_INT + * @param new_state: new state of the specified adc interrupts. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_interrupt_enable(adc_type *adc_x, uint32_t adc_int, confirm_state new_state) +{ + if(new_state == TRUE) + { + adc_x->ctrl1 |= adc_int; + } + else if(new_state == FALSE) + { + adc_x->ctrl1 &= ~adc_int; + } +} + +/** + * @brief set calibration value of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_calibration_value: calibration value of adc. + * this parameter can be: + * - (0x00~0x7F) + * @retval none + */ +void adc_calibration_value_set(adc_type *adc_x, uint8_t adc_calibration_value) +{ + adc_x->calval = adc_calibration_value; +} + +/** + * @brief initialize calibration register of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval none + */ +void adc_calibration_init(adc_type *adc_x) +{ + adc_x->ctrl2_bit.adcalinit = TRUE; +} + +/** + * @brief get calibration register's initialize status of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the new state of reset calibration register status(SET or RESET). + */ +flag_status adc_calibration_init_status_get(adc_type *adc_x) +{ + if(adc_x->ctrl2_bit.adcalinit) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief start calibration process of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval none + */ +void adc_calibration_start(adc_type *adc_x) +{ + adc_x->ctrl2_bit.adcal = TRUE; +} + +/** + * @brief get calibration status of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the new state of calibration status(SET or RESET). + */ +flag_status adc_calibration_status_get(adc_type *adc_x) +{ + if(adc_x->ctrl2_bit.adcal) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief enable or disable the voltage monitoring on single/all ordinary or preempt channels of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_voltage_monitoring: choose the adc_voltage_monitoring config. + * this parameter can be one of the following values: + * - ADC_VMONITOR_SINGLE_ORDINARY + * - ADC_VMONITOR_SINGLE_PREEMPT + * - ADC_VMONITOR_SINGLE_ORDINARY_PREEMPT + * - ADC_VMONITOR_ALL_ORDINARY + * - ADC_VMONITOR_ALL_PREEMPT + * - ADC_VMONITOR_ALL_ORDINARY_PREEMPT + * - ADC_VMONITOR_NONE + * @retval none + */ +void adc_voltage_monitor_enable(adc_type *adc_x, adc_voltage_monitoring_type adc_voltage_monitoring) +{ + adc_x->ctrl1_bit.ocvmen = FALSE; + adc_x->ctrl1_bit.pcvmen = FALSE; + adc_x->ctrl1_bit.vmsgen = FALSE; + adc_x->ctrl1 |= adc_voltage_monitoring; +} + +/** + * @brief set voltage monitoring's high and low thresholds value of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_high_threshold: voltage monitoring's high thresholds value. + * this parameter can be: + * - (0x000~0xFFF) + * @param adc_low_threshold: voltage monitoring's low thresholds value. + * this parameter can be: + * - (0x000~0xFFF) + * @retval none + */ +void adc_voltage_monitor_threshold_value_set(adc_type *adc_x, uint16_t adc_high_threshold, uint16_t adc_low_threshold) +{ + adc_x->vmhb_bit.vmhb = adc_high_threshold; + adc_x->vmlb_bit.vmlb = adc_low_threshold; +} + +/** + * @brief select the voltage monitoring's channel of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_channel: select the channel. + * this parameter can be one of the following values: + * - ADC_CHANNEL_0 - ADC_CHANNEL_1 - ADC_CHANNEL_2 - ADC_CHANNEL_3 + * - ADC_CHANNEL_4 - ADC_CHANNEL_5 - ADC_CHANNEL_6 - ADC_CHANNEL_7 + * - ADC_CHANNEL_8 - ADC_CHANNEL_9 - ADC_CHANNEL_10 - ADC_CHANNEL_11 + * - ADC_CHANNEL_12 - ADC_CHANNEL_13 - ADC_CHANNEL_14 - ADC_CHANNEL_15 + * - ADC_CHANNEL_16 - ADC_CHANNEL_17 - ADC_CHANNEL_20 - ADC_CHANNEL_21 + * - ADC_CHANNEL_22 - ADC_CHANNEL_23 - ADC_CHANNEL_24 - ADC_CHANNEL_25 + * - ADC_CHANNEL_26 - ADC_CHANNEL_27 + * @retval none + */ +void adc_voltage_monitor_single_channel_select(adc_type *adc_x, adc_channel_select_type adc_channel) +{ + adc_x->ctrl1_bit.vmcsel = adc_channel; +} + +/** + * @brief set ordinary channel's corresponding rank in the sequencer and sample time of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_channel: select the channel. + * this parameter can be one of the following values: + * - ADC_CHANNEL_0 - ADC_CHANNEL_1 - ADC_CHANNEL_2 - ADC_CHANNEL_3 + * - ADC_CHANNEL_4 - ADC_CHANNEL_5 - ADC_CHANNEL_6 - ADC_CHANNEL_7 + * - ADC_CHANNEL_8 - ADC_CHANNEL_9 - ADC_CHANNEL_10 - ADC_CHANNEL_11 + * - ADC_CHANNEL_12 - ADC_CHANNEL_13 - ADC_CHANNEL_14 - ADC_CHANNEL_15 + * - ADC_CHANNEL_16 - ADC_CHANNEL_17 - ADC_CHANNEL_20 - ADC_CHANNEL_21 + * - ADC_CHANNEL_22 - ADC_CHANNEL_23 - ADC_CHANNEL_24 - ADC_CHANNEL_25 + * - ADC_CHANNEL_26 - ADC_CHANNEL_27 + * @param adc_sequence: set rank in the ordinary group sequencer. + * this parameter must be: + * - between 1 to 32 + * @param adc_sampletime: set the sampletime of adc channel. + * this parameter can be one of the following values: + * - ADC_SAMPLETIME_2_5 + * - ADC_SAMPLETIME_6_5 + * - ADC_SAMPLETIME_12_5 + * - ADC_SAMPLETIME_24_5 + * - ADC_SAMPLETIME_47_5 + * - ADC_SAMPLETIME_92_5 + * - ADC_SAMPLETIME_247_5 + * - ADC_SAMPLETIME_640_5 + * @retval none + */ +void adc_ordinary_channel_set(adc_type *adc_x, adc_channel_select_type adc_channel, uint8_t adc_sequence, adc_sampletime_select_type adc_sampletime) +{ + uint32_t tmp_reg; + if(adc_channel < ADC_CHANNEL_10) + { + tmp_reg = adc_x->spt2; + tmp_reg &= ~(0x07 << 3 * adc_channel); + tmp_reg |= adc_sampletime << 3 * adc_channel; + adc_x->spt2 = tmp_reg; + } + else if(adc_channel < ADC_CHANNEL_20) + { + tmp_reg = adc_x->spt1; + tmp_reg &= ~(0x07 << 3 * (adc_channel - ADC_CHANNEL_10)); + tmp_reg |= adc_sampletime << 3 * (adc_channel - ADC_CHANNEL_10); + adc_x->spt1 = tmp_reg; + } + else + { + tmp_reg = adc_x->spt3; + tmp_reg &= ~(0x07 << 3 * (adc_channel - ADC_CHANNEL_20)); + tmp_reg |= adc_sampletime << 3 * (adc_channel - ADC_CHANNEL_20); + adc_x->spt3 = tmp_reg; + } + + if(adc_sequence < 7) + { + tmp_reg = adc_x->osq3; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 1)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 1); + adc_x->osq3 = tmp_reg; + } + else if(adc_sequence < 13) + { + tmp_reg = adc_x->osq2; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 7)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 7); + adc_x->osq2 = tmp_reg; + } + else if(adc_sequence < 17) + { + tmp_reg = adc_x->osq1; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 13)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 13); + adc_x->osq1 = tmp_reg; + } + else if(adc_sequence < 23) + { + tmp_reg = adc_x->osq4; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 17)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 17); + adc_x->osq4 = tmp_reg; + } + else if(adc_sequence < 29) + { + tmp_reg = adc_x->osq5; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 23)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 23); + adc_x->osq5 = tmp_reg; + } + else + { + tmp_reg = adc_x->osq6; + tmp_reg &= ~(0x01F << 5 * (adc_sequence - 29)); + tmp_reg |= adc_channel << 5 * (adc_sequence - 29); + adc_x->osq6 = tmp_reg; + } +} + +/** + * @brief set preempt channel lenghth of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_channel_lenght: set the adc preempt channel lenghth. + * this parameter can be: + * - (0x1~0x4) + * @retval none + */ +void adc_preempt_channel_length_set(adc_type *adc_x, uint8_t adc_channel_lenght) +{ + adc_x->psq_bit.pclen = adc_channel_lenght - 1; +} + +/** + * @brief configure preempt channel's corresponding rank in the sequencer and sample time of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_channel: select the channel. + * this parameter can be one of the following values: + * - ADC_CHANNEL_0 - ADC_CHANNEL_1 - ADC_CHANNEL_2 - ADC_CHANNEL_3 + * - ADC_CHANNEL_4 - ADC_CHANNEL_5 - ADC_CHANNEL_6 - ADC_CHANNEL_7 + * - ADC_CHANNEL_8 - ADC_CHANNEL_9 - ADC_CHANNEL_10 - ADC_CHANNEL_11 + * - ADC_CHANNEL_12 - ADC_CHANNEL_13 - ADC_CHANNEL_14 - ADC_CHANNEL_15 + * - ADC_CHANNEL_16 - ADC_CHANNEL_17 - ADC_CHANNEL_20 - ADC_CHANNEL_21 + * - ADC_CHANNEL_22 - ADC_CHANNEL_23 - ADC_CHANNEL_24 - ADC_CHANNEL_25 + * - ADC_CHANNEL_26 - ADC_CHANNEL_27 + * @param adc_sequence: set rank in the preempt group sequencer. + * this parameter must be: + * - between 1 to 4 + * @param adc_sampletime: config the sampletime of adc channel. + * this parameter can be one of the following values: + * - ADC_SAMPLETIME_2_5 + * - ADC_SAMPLETIME_6_5 + * - ADC_SAMPLETIME_12_5 + * - ADC_SAMPLETIME_24_5 + * - ADC_SAMPLETIME_47_5 + * - ADC_SAMPLETIME_92_5 + * - ADC_SAMPLETIME_247_5 + * - ADC_SAMPLETIME_640_5 + * @retval none + */ +void adc_preempt_channel_set(adc_type *adc_x, adc_channel_select_type adc_channel, uint8_t adc_sequence, adc_sampletime_select_type adc_sampletime) +{ + uint32_t tmp_reg; + uint8_t sequence_index; + if(adc_channel < ADC_CHANNEL_10) + { + tmp_reg = adc_x->spt2; + tmp_reg &= ~(0x07 << 3 * adc_channel); + tmp_reg |= adc_sampletime << 3 * adc_channel; + adc_x->spt2 = tmp_reg; + } + else if(adc_channel < ADC_CHANNEL_20) + { + tmp_reg = adc_x->spt1; + tmp_reg &= ~(0x07 << 3 * (adc_channel - ADC_CHANNEL_10)); + tmp_reg |= adc_sampletime << 3 * (adc_channel - ADC_CHANNEL_10); + adc_x->spt1 = tmp_reg; + } + else + { + tmp_reg = adc_x->spt3; + tmp_reg &= ~(0x07 << 3 * (adc_channel - ADC_CHANNEL_20)); + tmp_reg |= adc_sampletime << 3 * (adc_channel - ADC_CHANNEL_20); + adc_x->spt3 = tmp_reg; + } + + sequence_index = adc_sequence + 3 - adc_x->psq_bit.pclen; + switch(sequence_index) + { + case 1: + adc_x->psq_bit.psn1 = adc_channel; + break; + case 2: + adc_x->psq_bit.psn2 = adc_channel; + break; + case 3: + adc_x->psq_bit.psn3 = adc_channel; + break; + case 4: + adc_x->psq_bit.psn4 = adc_channel; + break; + default: + break; + } +} + +/** + * @brief set the ordinary channel's external trigger edge and + * set external trigger event of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_ordinary_trig: select the external trigger event. + * this parameter can be one of the following values: + * - ADC_ORDINARY_TRIG_TMR1TRGOUT - ADC_ORDINARY_TRIG_TMR1CH4 - ADC_ORDINARY_TRIG_TMR2TRGOUT - ADC_ORDINARY_TRIG_TMR3TRGOUT + * - ADC_ORDINARY_TRIG_TMR9TRGOUT - ADC_ORDINARY_TRIG_TMR1CH1 - ADC_ORDINARY_TRIG_EXINT11 - ADC_ORDINARY_TRIG_SOFTWARE + * - ADC_ORDINARY_TRIG_TMR2CH1 - ADC_ORDINARY_TRIG_TMR7TRGOUT + * @param adc_ordinary_trig_edge: ordinary channel conversion's external_trigger_edge. + * this parameter can be one of the following values: + * - ADC_ORDINARY_TRIG_EDGE_NONE + * - ADC_ORDINARY_TRIG_EDGE_RISING + * - ADC_ORDINARY_TRIG_EDGE_FALLING + * - ADC_ORDINARY_TRIG_EDGE_RISING_FALLING + * @retval none + */ +void adc_ordinary_conversion_trigger_set(adc_type *adc_x, adc_ordinary_trig_select_type adc_ordinary_trig, adc_ordinary_trig_edge_type adc_ordinary_trig_edge) +{ + adc_x->ctrl2_bit.octesel = adc_ordinary_trig ; + adc_x->ctrl2_bit.ocete = adc_ordinary_trig_edge; +} + +/** + * @brief enable or disable the preempt channel's external trigger and + * set external trigger event of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_preempt_trig: select the external trigger event. + * this parameter can be one of the following values: + * - ADC_PREEMPT_TRIG_TMR1CH2 - ADC_PREEMPT_TRIG_TMR1CH3 - ADC_PREEMPT_TRIG_TMR2CH4 - ADC_PREEMPT_TRIG_TMR3CH4 + * - ADC_PREEMPT_TRIG_TMR9CH1 - ADC_PREEMPT_TRIG_TMR6TRGOUT - ADC_PREEMPT_TRIG_EXINT15 - ADC_PREEMPT_TRIG_SOFTWARE + * @param adc_preempt_trig_edge: preempt channel conversion's external_trigger_edge. + * this parameter can be one of the following values: + * - ADC_PREEMPT_TRIG_EDGE_NONE + * - ADC_PREEMPT_TRIG_EDGE_RISING + * - ADC_PREEMPT_TRIG_EDGE_FALLING + * - ADC_PREEMPT_TRIG_EDGE_RISING_FALLING + * @retval none + */ +void adc_preempt_conversion_trigger_set(adc_type *adc_x, adc_preempt_trig_select_type adc_preempt_trig, adc_preempt_trig_edge_type adc_preempt_trig_edge) +{ + adc_x->ctrl2_bit.pctesel = adc_preempt_trig; + adc_x->ctrl2_bit.pcete = adc_preempt_trig_edge; +} + +/** + * @brief set preempt channel's conversion value offset of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_preempt_channel: select the preempt channel. + * this parameter can be one of the following values: + * - ADC_PREEMPT_CHANNEL_1 + * - ADC_PREEMPT_CHANNEL_2 + * - ADC_PREEMPT_CHANNEL_3 + * - ADC_PREEMPT_CHANNEL_4 + * @param adc_offset_value: set the adc preempt channel's conversion value offset. + * this parameter can be: + * - (0x000~0xFFF) + * @retval none + */ +void adc_preempt_offset_value_set(adc_type *adc_x, adc_preempt_channel_type adc_preempt_channel, uint16_t adc_offset_value) +{ + switch(adc_preempt_channel) + { + case ADC_PREEMPT_CHANNEL_1: + adc_x->pcdto1_bit.pcdto1 = adc_offset_value; + break; + case ADC_PREEMPT_CHANNEL_2: + adc_x->pcdto2_bit.pcdto2 = adc_offset_value; + break; + case ADC_PREEMPT_CHANNEL_3: + adc_x->pcdto3_bit.pcdto3 = adc_offset_value; + break; + case ADC_PREEMPT_CHANNEL_4: + adc_x->pcdto4_bit.pcdto4 = adc_offset_value; + break; + default: + break; + } +} + +/** + * @brief set partitioned mode channel count of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_channel_count: configure the adc partitioned mode channel count. + * this parameter can be: + * - (0x1~0x8) + * @retval none + */ +void adc_ordinary_part_count_set(adc_type *adc_x, uint8_t adc_channel_count) +{ + + adc_x->ctrl1_bit.ocpcnt = adc_channel_count - 1; +} + +/** + * @brief enable or disable the partitioned mode on ordinary channel of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of ordinary channel's partitioned mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_ordinary_part_mode_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl1_bit.ocpen = new_state; +} + +/** + * @brief enable or disable the partitioned mode on preempt channel of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of preempt channel's partitioned mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_preempt_part_mode_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl1_bit.pcpen = new_state; +} + +/** + * @brief enable or disable automatic preempt group conversion of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of automatic preempt group conversion. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_preempt_auto_mode_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl1_bit.pcautoen = new_state; +} + +/** + * @brief stop the ongoing conversion of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval none + */ +void adc_conversion_stop(adc_type *adc_x) +{ + adc_x->ctrl2_bit.adabrt = TRUE; +} + +/** + * @brief get stop conversion's status of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the new state of stop conversion's status(SET or RESET). + */ +flag_status adc_conversion_stop_status_get(adc_type *adc_x) +{ + if(adc_x->ctrl2_bit.adabrt) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief enable or disable each ordinary channel conversion set occe flag of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of each ordinary channel conversion set occe flag. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_occe_each_conversion_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.eocsfen = new_state; +} + +/** + * @brief enable or disable ordinary software start conversion of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of ordinary software start conversion. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_ordinary_software_trigger_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.ocswtrg = new_state; +} + +/** + * @brief get ordinary software start conversion status of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the new state of ordinary software start conversion status(SET or RESET). + */ +flag_status adc_ordinary_software_trigger_status_get(adc_type *adc_x) +{ + if(adc_x->ctrl2_bit.ocswtrg) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief enable or disable preempt software start conversion of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of preempt software start conversion. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_preempt_software_trigger_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ctrl2_bit.pcswtrg = new_state; +} + +/** + * @brief get preempt software start conversion status of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the new state of preempt software start conversion status(SET or RESET). + */ +flag_status adc_preempt_software_trigger_status_get(adc_type *adc_x) +{ + if(adc_x->ctrl2_bit.pcswtrg) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief return the last conversion data for ordinary channel of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @retval the last conversion data for ordinary channel. + */ +uint16_t adc_ordinary_conversion_data_get(adc_type *adc_x) +{ + return (uint16_t)(adc_x->odt_bit.odt); +} + +/** + * @brief return the conversion data for selection preempt channel of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_preempt_channel: select the preempt channel. + * this parameter can be one of the following values: + * - ADC_PREEMPT_CHANNEL_1 + * - ADC_PREEMPT_CHANNEL_2 + * - ADC_PREEMPT_CHANNEL_3 + * - ADC_PREEMPT_CHANNEL_4 + * @retval the conversion data for selection preempt channel. + */ +uint16_t adc_preempt_conversion_data_get(adc_type *adc_x, adc_preempt_channel_type adc_preempt_channel) +{ + uint16_t preempt_conv_data_index = 0; + switch(adc_preempt_channel) + { + case ADC_PREEMPT_CHANNEL_1: + preempt_conv_data_index = (uint16_t)(adc_x->pdt1_bit.pdt1); + break; + case ADC_PREEMPT_CHANNEL_2: + preempt_conv_data_index = (uint16_t)(adc_x->pdt2_bit.pdt2); + break; + case ADC_PREEMPT_CHANNEL_3: + preempt_conv_data_index = (uint16_t)(adc_x->pdt3_bit.pdt3); + break; + case ADC_PREEMPT_CHANNEL_4: + preempt_conv_data_index = (uint16_t)(adc_x->pdt4_bit.pdt4); + break; + default: + break; + } + return preempt_conv_data_index; +} + +/** + * @brief get flag of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_flag: select the adc flag. + * this parameter can be one of the following values: + * - ADC_VMOR_FLAG + * - ADC_OCCE_FLAG + * - ADC_PCCE_FLAG + * - ADC_PCCS_FLAG(no interrupt associated) + * - ADC_OCCS_FLAG(no interrupt associated) + * - ADC_OCCO_FLAG + * - ADC_RDY_FLAG(no interrupt associated) + * @retval the new state of adc flag status(SET or RESET). + */ +flag_status adc_flag_get(adc_type *adc_x, uint8_t adc_flag) +{ + flag_status status = RESET; + + if((adc_x->sts & adc_flag) == RESET) + { + status = RESET; + } + else + { + status = SET; + } + return status; +} + +/** + * @brief get interrupt flag of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_flag: select the adc flag. + * this parameter can be one of the following values: + * - ADC_VMOR_FLAG + * - ADC_OCCE_FLAG + * - ADC_PCCE_FLAG + * - ADC_OCCO_FLAG + * @retval the new state of adc flag status(SET or RESET). + */ +flag_status adc_interrupt_flag_get(adc_type *adc_x, uint8_t adc_flag) +{ + flag_status status = RESET; + switch(adc_flag) + { + case ADC_VMOR_FLAG: + if(adc_x->sts_bit.vmor && adc_x->ctrl1_bit.vmorien) + { + status = SET; + } + break; + case ADC_OCCE_FLAG: + if(adc_x->sts_bit.occe && adc_x->ctrl1_bit.occeien) + { + status = SET; + } + break; + case ADC_PCCE_FLAG: + if(adc_x->sts_bit.pcce && adc_x->ctrl1_bit.pcceien) + { + status = SET; + } + break; + case ADC_OCCO_FLAG: + if(adc_x->sts_bit.occo && adc_x->ctrl1_bit.occoien) + { + status = SET; + } + break; + default: + break; + } + return status; +} + +/** + * @brief clear flag of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * ADC1. + * @param adc_flag: select the adc flag. + * this parameter can be any combination of the following values: + * - ADC_VMOR_FLAG + * - ADC_OCCE_FLAG(also can clear by reading the adc_x->odt) + * - ADC_PCCE_FLAG + * - ADC_PCCS_FLAG + * - ADC_OCCS_FLAG + * - ADC_OCCO_FLAG + * - note:"ADC_RDY_FLAG" cannot be choose!rdy bit is readonly bit,it means the adc is ready to accept conversion request + * @retval none + */ +void adc_flag_clear(adc_type *adc_x, uint32_t adc_flag) +{ + adc_x->sts = ~adc_flag; +} + +/** + * @brief enable or disable the ordinary oversampling of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of ordinary oversampling. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_ordinary_oversample_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ovsp_bit.oosen = new_state; +} + +/** + * @brief enable or disable the preempt oversampling of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of preempt oversampling. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_preempt_oversample_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ovsp_bit.posen = new_state; +} + +/** + * @brief config the oversampling ratio and shift of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_oversample_ratio: set the oversample ratio. + * this parameter can be one of the following values: + * - ADC_OVERSAMPLE_RATIO_2 + * - ADC_OVERSAMPLE_RATIO_4 + * - ADC_OVERSAMPLE_RATIO_8 + * - ADC_OVERSAMPLE_RATIO_16 + * - ADC_OVERSAMPLE_RATIO_32 + * - ADC_OVERSAMPLE_RATIO_64 + * - ADC_OVERSAMPLE_RATIO_128 + * - ADC_OVERSAMPLE_RATIO_256 + * @param adc_oversample_shift: set the oversample shift. + * this parameter can be one of the following values: + * - ADC_OVERSAMPLE_SHIFT_0 + * - ADC_OVERSAMPLE_SHIFT_1 + * - ADC_OVERSAMPLE_SHIFT_2 + * - ADC_OVERSAMPLE_SHIFT_3 + * - ADC_OVERSAMPLE_SHIFT_4 + * - ADC_OVERSAMPLE_SHIFT_5 + * - ADC_OVERSAMPLE_SHIFT_6 + * - ADC_OVERSAMPLE_SHIFT_7 + * - ADC_OVERSAMPLE_SHIFT_8 + * @retval none + */ +void adc_oversample_ratio_shift_set(adc_type *adc_x, adc_oversample_ratio_type adc_oversample_ratio, adc_oversample_shift_type adc_oversample_shift) +{ + adc_x->ovsp_bit.osrsel = adc_oversample_ratio; + adc_x->ovsp_bit.osssel = adc_oversample_shift; +} + +/** + * @brief enable or disable the ordinary oversampling trigger mode of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param new_state: new state of ordinary oversampling trigger mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void adc_ordinary_oversample_trig_enable(adc_type *adc_x, confirm_state new_state) +{ + adc_x->ovsp_bit.oostren = new_state; +} + +/** + * @brief set ordinary oversample restart mode of the specified adc peripheral. + * @param adc_x: select the adc peripheral. + * this parameter can be one of the following values: + * - ADC1. + * @param adc_or_oversample_restart: ordinary oversample restart mode. + * this parameter can be one of the following values: + * - ADC_OVERSAMPLE_CONTINUE + * - ADC_OVERSAMPLE_RESTART + * @retval none + */ +void adc_ordinary_oversample_restart_set(adc_type *adc_x, adc_ordinary_oversample_restart_type adc_ordinary_oversample_restart) +{ + adc_x->ovsp_bit.oosrsel = adc_ordinary_oversample_restart; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_can.c b/Firmware/drivers/src/at32a423_can.c new file mode 100644 index 0000000..c88893c --- /dev/null +++ b/Firmware/drivers/src/at32a423_can.c @@ -0,0 +1,1242 @@ +/** + ************************************************************************** + * @file at32a423_can.c + * @brief contains all the functions for the can firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup CAN + * @brief CAN driver modules + * @{ + */ + +#ifdef CAN_MODULE_ENABLED + +/** @defgroup CAN_private_functions + * @{ + */ + +/** + * @brief deinitialize the can peripheral registers to their default reset values. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval none. + */ +void can_reset(can_type* can_x) +{ + if(can_x == CAN1) + { + crm_periph_reset(CRM_CAN1_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_CAN1_PERIPH_RESET, FALSE); + } + else if(can_x == CAN2) + { + crm_periph_reset(CRM_CAN2_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_CAN2_PERIPH_RESET, FALSE); + } +} + +/** + * @brief fill each can_baudrate_struct member with its default value. + * @param can_baudrate_struct: pointer to a can_baudrate_type structure which will be initialized. + * @retval none. + */ +void can_baudrate_default_para_init(can_baudrate_type* can_baudrate_struct) +{ + /* reset can baudrate structure parameters values */ + + /* baud rate division */ + can_baudrate_struct->baudrate_div = 1; + + /* resynchronization adjust width */ + can_baudrate_struct->rsaw_size = CAN_RSAW_2TQ; + + /* bit time segment 1 */ + can_baudrate_struct->bts1_size = CAN_BTS1_4TQ; + + /* bit time segment 2 */ + can_baudrate_struct->bts2_size = CAN_BTS2_3TQ; +} + +/** + * @brief set the baudrate of the can peripheral + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_baudrate_struct: pointer to a can_baudrate_type structure which will be set. + * @note baudrate calculate method is: + * baudrate = fpclk/(baudrate_div *(3 + bts1_size + bts2_size)) + * @retval the result of baudrate set + * this parameter can be one of the following values: + * SUCCESS or ERROR + */ +error_status can_baudrate_set(can_type* can_x, can_baudrate_type* can_baudrate_struct) +{ + error_status status_index = ERROR; + uint32_t wait_ack_index = 0x00000000; + /* exit from doze mode */ + can_x->mctrl_bit.dzen = FALSE; + + /* request freeze mode */ + can_x->mctrl_bit.fzen = TRUE; + + /* wait the acknowledge */ + while((!can_x->msts_bit.fzc) && (wait_ack_index != FZC_TIMEOUT)) + { + wait_ack_index++; + } + + /* check acknowledge */ + if(can_x->msts_bit.fzc) + { + can_x->btmg_bit.brdiv = can_baudrate_struct->baudrate_div - 1; + can_x->btmg_bit.rsaw = can_baudrate_struct->rsaw_size; + can_x->btmg_bit.bts1 = can_baudrate_struct->bts1_size; + can_x->btmg_bit.bts2 = can_baudrate_struct->bts2_size; + + /* request leave freeze mode */ + can_x->mctrl_bit.fzen = FALSE; + + /* wait the acknowledge */ + wait_ack_index = 0; + while((can_x->msts_bit.fzc) && (wait_ack_index != FZC_TIMEOUT)) + { + wait_ack_index++; + } + + /* check acknowledged */ + if(can_x->msts_bit.fzc) + { + status_index = ERROR; + } + else + { + status_index = SUCCESS ; + } + } + else + { + status_index = ERROR; + } + + /* return the status of baudrate set */ + return status_index; +} + +/** + * @brief fill each can_init_struct member with its default value. + * @param can_base_struct: pointer to a can_base_type structure which will be initialized. + * @retval none. + */ +void can_default_para_init(can_base_type* can_base_struct) +{ + /* reset can init structure parameters values */ + + /* initialize the time triggered communication mode */ + can_base_struct->ttc_enable = FALSE; + + /* initialize the automatic exit bus-off management */ + can_base_struct->aebo_enable = FALSE; + + /* initialize the automatic exit doze mode */ + can_base_struct->aed_enable = FALSE; + + /* initialize the prohibit retransmission when sending fails */ + can_base_struct->prsf_enable = FALSE; + + /* initialize the message discarding rule select when overflow */ + can_base_struct->mdrsel_selection = CAN_DISCARDING_FIRST_RECEIVED; + + /* initialize the multiple message sending sequence rule */ + can_base_struct->mmssr_selection = CAN_SENDING_BY_ID; + + /* initialize the can_mode */ + can_base_struct->mode_selection = CAN_MODE_COMMUNICATE; +} + +/** + * @brief initialize the can peripheral according to the specified + * parameters in the can_init_struct. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_base_struct: pointer to a can_base_struct structure that contains the configuration information for the can peripheral. + * @retval the status of initialization + * this parameter can be one of the following values: + * SUCCESS or ERROR + */ +error_status can_base_init(can_type* can_x, can_base_type* can_base_struct) +{ + error_status init_status_index = ERROR; + uint32_t wait_ack_index = 0x00000000; + /* exit from doze mode */ + can_x->mctrl_bit.dzen = FALSE; + + /* request freeze mode */ + can_x->mctrl_bit.fzen = TRUE; + + /* wait the acknowledge */ + while((!can_x->msts_bit.fzc) && (wait_ack_index != FZC_TIMEOUT)) + { + wait_ack_index++; + } + + /* check acknowledge */ + if(can_x->msts_bit.fzc) + { + /* set the time triggered communication mode */ + can_x->mctrl_bit.ttcen = can_base_struct->ttc_enable; + + /* set the automatic exit bus-off management */ + can_x->mctrl_bit.aeboen = can_base_struct->aebo_enable; + + /* set the automatic automatic exit doze mode */ + can_x->mctrl_bit.aeden = can_base_struct->aed_enable; + + /* set the prohibit retransmission when sending fails */ + can_x->mctrl_bit.prsfen = can_base_struct->prsf_enable; + + /* set the message discarding rule select when overflow */ + can_x->mctrl_bit.mdrsel = can_base_struct->mdrsel_selection; + + /* set the multiple message sending sequence rule */ + can_x->mctrl_bit.mmssr = can_base_struct->mmssr_selection; + + /* set the test mode */ + can_x->btmg_bit.lben = can_base_struct->mode_selection & 0x01; + can_x->btmg_bit.loen = (can_base_struct->mode_selection >> 1) & 0x01; + + /* request leave freeze mode */ + can_x->mctrl_bit.fzen = FALSE; + + /* wait the acknowledge */ + wait_ack_index = 0; + while((can_x->msts_bit.fzc) && (wait_ack_index != FZC_TIMEOUT)) + { + wait_ack_index++; + } + + /* check acknowledged */ + if(can_x->msts_bit.fzc) + { + init_status_index = ERROR; + } + else + { + init_status_index = SUCCESS ; + } + } + else + { + init_status_index = ERROR; + } + + /* return the status of initialization */ + return init_status_index; +} + +/** + * @brief fill each can_filter_init_struct member with its default value. + * @param can_filter_init_struct: pointer to a can_filter_init_type structure which will be initialized. + * @retval none. + */ +void can_filter_default_para_init(can_filter_init_type* can_filter_init_struct) +{ + /* reset can filter init structure parameters values */ + + /* initialize the filter activate state */ + can_filter_init_struct->filter_activate_enable = FALSE; + + /* filter mode */ + can_filter_init_struct->filter_mode = CAN_FILTER_MODE_ID_MASK; + + /* filter relation fifo select */ + can_filter_init_struct->filter_fifo = CAN_FILTER_FIFO0; + + /* filter number select */ + can_filter_init_struct->filter_number = 0; + + /* initialize the filter bit width */ + can_filter_init_struct->filter_bit = CAN_FILTER_16BIT; + + /* initialize the filters filter data bit */ + can_filter_init_struct->filter_id_high = 0; + can_filter_init_struct->filter_id_low = 0; + can_filter_init_struct->filter_mask_high = 0; + can_filter_init_struct->filter_mask_low = 0; +} + +/** + * @brief initialize the can peripheral according to the specified + * parameters in the can_filter_init_struct. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_filter_init_struct: pointer to a can_filter_init_type structure that contains the configuration information. + * @retval none. + */ +void can_filter_init(can_type* can_x, can_filter_init_type* can_filter_init_struct) +{ + uint32_t filter_number_bit_pos = 0; + filter_number_bit_pos = ((uint32_t)1) << can_filter_init_struct->filter_number; + /* set the filter turn into configuration condition */ + can_x->fctrl_bit.fcs = TRUE; + + /* filter activate disable */ + can_x->facfg &= ~(uint32_t)filter_number_bit_pos; + + /* filter bit width */ + switch(can_filter_init_struct->filter_bit) + { + case CAN_FILTER_16BIT: + can_x->fbwcfg &= ~(uint32_t)filter_number_bit_pos; + /* first 16-bit identifier and first 16-bit mask or first 16-bit identifier and second 16-bit identifier */ + can_x->ffb[can_filter_init_struct->filter_number].ffdb1 = ((0x0000FFFF & (uint32_t)can_filter_init_struct->filter_mask_low) << 16); + can_x->ffb[can_filter_init_struct->filter_number].ffdb1 |= (0x0000FFFF & (uint32_t)can_filter_init_struct->filter_id_low); + + /* second 16-bit identifier and second 16-bit mask or third 16-bit identifier and fourth 16-bit identifier */ + can_x->ffb[can_filter_init_struct->filter_number].ffdb2 = ((0x0000FFFF & (uint32_t)can_filter_init_struct->filter_mask_high) << 16); + can_x->ffb[can_filter_init_struct->filter_number].ffdb2 |= (0x0000FFFF & (uint32_t)can_filter_init_struct->filter_id_high); + + break; + case CAN_FILTER_32BIT: + can_x->fbwcfg |= filter_number_bit_pos; + /* 32-bit identifier or first 32-bit identifier */ + can_x->ffb[can_filter_init_struct->filter_number].ffdb1 = ((0x0000FFFF & (uint32_t)can_filter_init_struct->filter_id_high) << 16); + can_x->ffb[can_filter_init_struct->filter_number].ffdb1 |= (0x0000FFFF & (uint32_t)can_filter_init_struct->filter_id_low); + + /* 32-bit mask or second 32-bit identifier */ + can_x->ffb[can_filter_init_struct->filter_number].ffdb2 = ((0x0000FFFF & (uint32_t)can_filter_init_struct->filter_mask_high) << 16); + can_x->ffb[can_filter_init_struct->filter_number].ffdb2 |= (0x0000FFFF & (uint32_t)can_filter_init_struct->filter_mask_low); + + break; + default: + break; + } + + /* filter mode */ + switch(can_filter_init_struct->filter_mode) + { + case CAN_FILTER_MODE_ID_MASK: + can_x->fmcfg &= ~(uint32_t)filter_number_bit_pos; + break; + case CAN_FILTER_MODE_ID_LIST: + can_x->fmcfg |= (uint32_t)filter_number_bit_pos; + break; + default: + break; + } + + /* filter relation fifo select */ + switch(can_filter_init_struct->filter_fifo) + { + case CAN_FILTER_FIFO0: + can_x->frf &= ~(uint32_t)filter_number_bit_pos; + break; + case CAN_FILTER_FIFO1: + can_x->frf |= (uint32_t)filter_number_bit_pos; + break; + default: + break; + } + + /* filter activate enable */ + switch(can_filter_init_struct->filter_activate_enable) + { + case TRUE: + can_x->facfg |= (uint32_t)filter_number_bit_pos; + break; + case FALSE: + can_x->facfg &= ~(uint32_t)filter_number_bit_pos; + break; + default: + break; + } + + /* set the filter turn into working condition */ + can_x->fctrl_bit.fcs = FALSE; +} + +/** + * @brief enable or disable the debug transmission prohibit of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param new_state: new state of debug transmission prohibit. + * this parameter can be: TRUE or FALSE. + * @retval none. + */ +void can_debug_transmission_prohibit(can_type* can_x, confirm_state new_state) +{ + can_x->mctrl_bit.ptd = new_state; +} + +/** + * @brief enable or disable time trigger operation communication mode of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param new_state : new state of time trigger operation communication mode. + * this parameter can be: TRUE or FALSE. + * @note + * note1: + * when enabled, transmit mailbox time stamp(tmts[15:0]) value is sent in the last two data bytes of + * the 8-byte message: tmts[7:0] in data byte 6 and tmts[15:8] in data byte 7 + * @note + * note2: + * tmdtbl must be programmed as 8 in order time stamp (2 bytes) to be sent over the can bus. + * @retval none + */ +void can_ttc_mode_enable(can_type* can_x, confirm_state new_state) +{ + /* config the ttc mode new_state */ + can_x->mctrl_bit.ttcen = new_state; + + /* config tmtsten bits new_state */ + can_x->tx_mailbox[0].tmc_bit.tmtsten = new_state; + can_x->tx_mailbox[1].tmc_bit.tmtsten = new_state; + can_x->tx_mailbox[2].tmc_bit.tmtsten = new_state; +} + +/** + * @brief fill the transmission message and transmit of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param tx_message_struct: pointer to a structure which contains the message to be trans. + * @retval the number of the mailbox that is used for transmission: + * this parameter can be one of the following values: + * - CAN_TX_MAILBOX0 + * - CAN_TX_MAILBOX1 + * - CAN_TX_MAILBOX2 + * - CAN_TX_STATUS_NO_EMPTY + */ +uint8_t can_message_transmit(can_type* can_x, can_tx_message_type* tx_message_struct) +{ + uint8_t transmit_mailbox = CAN_TX_STATUS_NO_EMPTY; + + /* select one empty transmit mailbox */ + if(can_x->tsts_bit.tm0ef) + { + transmit_mailbox = CAN_TX_MAILBOX0; + } + else if(can_x->tsts_bit.tm1ef) + { + transmit_mailbox = CAN_TX_MAILBOX1; + } + else if(can_x->tsts_bit.tm2ef) + { + transmit_mailbox = CAN_TX_MAILBOX2; + } + else + { + transmit_mailbox = CAN_TX_STATUS_NO_EMPTY; + } + + if(transmit_mailbox != CAN_TX_STATUS_NO_EMPTY) + { + /* set up the id */ + can_x->tx_mailbox[transmit_mailbox].tmi &= 0x00000001; + can_x->tx_mailbox[transmit_mailbox].tmi_bit.tmidsel = tx_message_struct->id_type; + switch(tx_message_struct->id_type) + { + case CAN_ID_STANDARD: + can_x->tx_mailbox[transmit_mailbox].tmi_bit.tmsid = tx_message_struct->standard_id; + break; + case CAN_ID_EXTENDED: + can_x->tx_mailbox[transmit_mailbox].tmi |= (tx_message_struct->extended_id << 3); + break; + default: + break; + } + can_x->tx_mailbox[transmit_mailbox].tmi_bit.tmfrsel = tx_message_struct->frame_type; + /* set up the dlc */ + can_x->tx_mailbox[transmit_mailbox].tmc_bit.tmdtbl = (tx_message_struct->dlc & ((uint8_t)0x0F)); + + /* set up the data field */ + can_x->tx_mailbox[transmit_mailbox].tmdtl = (((uint32_t)tx_message_struct->data[3] << 24) | + ((uint32_t)tx_message_struct->data[2] << 16) | + ((uint32_t)tx_message_struct->data[1] << 8) | + ((uint32_t)tx_message_struct->data[0])); + can_x->tx_mailbox[transmit_mailbox].tmdth = (((uint32_t)tx_message_struct->data[7] << 24) | + ((uint32_t)tx_message_struct->data[6] << 16) | + ((uint32_t)tx_message_struct->data[5] << 8) | + ((uint32_t)tx_message_struct->data[4])); + + /* request transmission */ + can_x->tx_mailbox[transmit_mailbox].tmi_bit.tmsr = TRUE; + } + return transmit_mailbox; +} + +/** + * @brief check the transmission state of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param transmit_mailbox: the number of the mailbox that is used for transmission. + * this parameter can be one of the following values: + * - CAN_TX_MAILBOX0 + * - CAN_TX_MAILBOX1 + * - CAN_TX_MAILBOX2 + * @retval can transmit status + * this parameter can be one of the following values: + * - CAN_TX_STATUS_SUCCESSFUL + * - CAN_TX_STATUS_FAILED + * - CAN_TX_STATUS_PENDING + */ +can_transmit_status_type can_transmit_status_get(can_type* can_x, can_tx_mailbox_num_type transmit_mailbox) +{ + can_transmit_status_type state_index = CAN_TX_STATUS_FAILED; + switch(transmit_mailbox) + { + case CAN_TX_MAILBOX0: + if(can_x->tsts_bit.tm0tcf != RESET) + { + if(can_x->tsts_bit.tm0tsf != RESET) + { + state_index = CAN_TX_STATUS_SUCCESSFUL; + } + else + { + state_index = CAN_TX_STATUS_FAILED; + } + } + else + { + state_index = CAN_TX_STATUS_PENDING; + } + break; + case CAN_TX_MAILBOX1: + if(can_x->tsts_bit.tm1tcf != RESET) + { + if(can_x->tsts_bit.tm1tsf != RESET) + { + state_index = CAN_TX_STATUS_SUCCESSFUL; + } + else + { + state_index = CAN_TX_STATUS_FAILED; + } + } + else + { + state_index = CAN_TX_STATUS_PENDING; + } + break; + case CAN_TX_MAILBOX2: + if(can_x->tsts_bit.tm2tcf != RESET) + { + if(can_x->tsts_bit.tm2tsf != RESET) + { + state_index = CAN_TX_STATUS_SUCCESSFUL; + } + else + { + state_index = CAN_TX_STATUS_FAILED; + } + } + else + { + state_index = CAN_TX_STATUS_PENDING; + } + break; + default: + state_index = CAN_TX_STATUS_FAILED; + break; + } + return state_index; +} + +/** + * @brief cancel a transmit request of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param mailbox: mailbox number. + * this parameter can be one of the following values: + * - CAN_TX_MAILBOX0 + * - CAN_TX_MAILBOX1 + * - CAN_TX_MAILBOX2 + * @retval none. + */ +void can_transmit_cancel(can_type* can_x, can_tx_mailbox_num_type transmit_mailbox) +{ + switch (transmit_mailbox) + { + case CAN_TX_MAILBOX0: + can_x->tsts = CAN_TSTS_TM0CT_VAL; + break; + case CAN_TX_MAILBOX1: + can_x->tsts = CAN_TSTS_TM1CT_VAL; + break; + case CAN_TX_MAILBOX2: + can_x->tsts = CAN_TSTS_TM2CT_VAL; + break; + default: + break; + } +} + +/** + * @brief receive message of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param fifo_number: receive fifo number. + * this parameter can be one of the following values: + * - CAN_RX_FIFO0 + * - CAN_RX_FIFO1 + * @param rx_message_struct: pointer to a structure which store the receive message. + * @retval none. + */ +void can_message_receive(can_type* can_x, can_rx_fifo_num_type fifo_number, can_rx_message_type* rx_message_struct) +{ + /* get the id type */ + rx_message_struct->id_type = (can_identifier_type)can_x->fifo_mailbox[fifo_number].rfi_bit.rfidi; + switch (rx_message_struct->id_type) + { + case CAN_ID_STANDARD: + rx_message_struct->standard_id = can_x->fifo_mailbox[fifo_number].rfi_bit.rfsid; + break; + case CAN_ID_EXTENDED: + rx_message_struct->extended_id = 0x1FFFFFFF & (can_x->fifo_mailbox[fifo_number].rfi >> 3); + break; + default: + break; + } + rx_message_struct->frame_type = (can_trans_frame_type)can_x->fifo_mailbox[fifo_number].rfi_bit.rffri; + /* get the dlc */ + rx_message_struct->dlc = can_x->fifo_mailbox[fifo_number].rfc_bit.rfdtl; + + /* get the filter match number */ + rx_message_struct->filter_index = can_x->fifo_mailbox[fifo_number].rfc_bit.rffmn; + + /* get the data field */ + rx_message_struct->data[0] = can_x->fifo_mailbox[fifo_number].rfdtl_bit.rfdt0; + rx_message_struct->data[1] = can_x->fifo_mailbox[fifo_number].rfdtl_bit.rfdt1; + rx_message_struct->data[2] = can_x->fifo_mailbox[fifo_number].rfdtl_bit.rfdt2; + rx_message_struct->data[3] = can_x->fifo_mailbox[fifo_number].rfdtl_bit.rfdt3; + rx_message_struct->data[4] = can_x->fifo_mailbox[fifo_number].rfdth_bit.rfdt4; + rx_message_struct->data[5] = can_x->fifo_mailbox[fifo_number].rfdth_bit.rfdt5; + rx_message_struct->data[6] = can_x->fifo_mailbox[fifo_number].rfdth_bit.rfdt6; + rx_message_struct->data[7] = can_x->fifo_mailbox[fifo_number].rfdth_bit.rfdt7; + + /* release the fifo */ + can_receive_fifo_release(can_x, fifo_number); +} + +/** + * @brief release the specified fifo of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param fifo_number: fifo to be release. + * this parameter can be one of the following values: + * - CAN_RX_FIFO0 + * - CAN_RX_FIFO1 + * @retval none. + */ +void can_receive_fifo_release(can_type* can_x, can_rx_fifo_num_type fifo_number) +{ + switch (fifo_number) + { + case CAN_RX_FIFO0: + can_x->rf0 = CAN_RF0_RF0R_VAL; + break; + case CAN_RX_FIFO1: + can_x->rf1 = CAN_RF1_RF1R_VAL; + break; + default: + break; + } +} + +/** + * @brief return the number of pending messages of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param fifo_number: receive fifo number. + * this parameter can be one of the following values: + * - CAN_RX_FIFO0 + * - CAN_RX_FIFO1 + * @retval the number of message pending in the receive fifo. + */ +uint8_t can_receive_message_pending_get(can_type* can_x, can_rx_fifo_num_type fifo_number) +{ + uint8_t message_pending = 0; + switch (fifo_number) + { + case CAN_RX_FIFO0: + message_pending = can_x->rf0_bit.rf0mn; + break; + case CAN_RX_FIFO1: + message_pending = can_x->rf1_bit.rf1mn; + break; + default: + break; + } + return message_pending; +} + +/** + * @brief set the operation mode of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_operating_mode: can operating mode. + * this parameter can be one of the following values: + * - CAN_OPERATINGMODE_FREEZE + * - CAN_OPERATINGMODE_DOZE + * - CAN_OPERATINGMODE_COMMUNICATE + * @retval status of operation mode set + * this parameter can be one of the following values: + * SUCCESS or ERROR + */ +error_status can_operating_mode_set(can_type* can_x, can_operating_mode_type can_operating_mode) +{ + error_status status = ERROR; + uint32_t time_out_index = FZC_TIMEOUT; + + if (can_operating_mode == CAN_OPERATINGMODE_FREEZE) + { + /* request enter freeze mode */ + can_x->mctrl_bit.dzen = FALSE; + can_x->mctrl_bit.fzen = TRUE; + + while(((can_x->msts_bit.dzc) || (!can_x->msts_bit.fzc)) && (time_out_index != 0)) + { + time_out_index--; + } + if((can_x->msts_bit.dzc) || (!can_x->msts_bit.fzc)) + { + status = ERROR; + } + else + { + status = SUCCESS; + } + } + else if(can_operating_mode == CAN_OPERATINGMODE_DOZE) + { + /* request enter doze mode */ + can_x->mctrl_bit.dzen = TRUE; + can_x->mctrl_bit.fzen = FALSE; + + while(((!can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) && (time_out_index != 0)) + { + time_out_index--; + } + if((!can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) + { + status = ERROR; + } + else + { + status = SUCCESS; + } + } + else if(can_operating_mode == CAN_OPERATINGMODE_COMMUNICATE) + { + /* request enter normal mode */ + can_x->mctrl_bit.dzen = FALSE; + can_x->mctrl_bit.fzen = FALSE; + + while(((can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) && (time_out_index != 0)) + { + time_out_index--; + } + if((can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) + { + status = ERROR; + } + else + { + status = SUCCESS; + } + } + else + { + status = ERROR; + } + return status; +} + +/** + * @brief enter the low power mode of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval status of doze mode enter, the returned value can be: + * - CAN_ENTER_DOZE_SUCCESSFUL + * - CAN_ENTER_DOZE_FAILED + */ +can_enter_doze_status_type can_doze_mode_enter(can_type* can_x) +{ + can_enter_doze_status_type status = CAN_ENTER_DOZE_FAILED; + uint32_t time_out_index = FZC_TIMEOUT; + can_x->mctrl_bit.fzen = FALSE; + can_x->mctrl_bit.dzen = TRUE; + while(((!can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) && (time_out_index != 0)) + { + time_out_index--; + } + if((!can_x->msts_bit.dzc) || (can_x->msts_bit.fzc)) + { + status = CAN_ENTER_DOZE_FAILED; + } + else + { + status = CAN_ENTER_DOZE_SUCCESSFUL; + } + return status; +} + +/** + * @brief exit the doze mode of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval status of doze mode enter, the returned value can be: + * - CAN_QUIT_DOZE_SUCCESSFUL + * - CAN_QUIT_DOZE_FAILED + */ +can_quit_doze_status_type can_doze_mode_exit(can_type* can_x) +{ + can_quit_doze_status_type status = CAN_QUIT_DOZE_FAILED; + uint32_t time_out_index = DZC_TIMEOUT; + can_x->mctrl_bit.dzen = FALSE; + while((can_x->msts_bit.dzc) && (time_out_index != 0)) + { + time_out_index--; + } + if(!can_x->msts_bit.dzc) + { + status = CAN_QUIT_DOZE_SUCCESSFUL; + } + return status; +} + +/** + * @brief return the error type record (etr) of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval the value of the error code + * the return can be one of the follow values: + * - CAN_ERRORRECORD_NOERR + * - CAN_ERRORRECORD_STUFFERR, + * - CAN_ERRORRECORD_FORMERR, + * - CAN_ERRORRECORD_ACKERR, + * - CAN_ERRORRECORD_BITRECESSIVEERR, + * - CAN_ERRORRECORD_BITDOMINANTERR, + * - CAN_ERRORRECORD_CRCERR, + * - CAN_ERRORRECORD_SOFTWARESETERR + */ +can_error_record_type can_error_type_record_get(can_type* can_x) +{ + can_error_record_type error_code = CAN_ERRORRECORD_NOERR; + + error_code = (can_error_record_type)can_x->ests_bit.etr; + return error_code; +} + +/** + * @brief return the receive error counter (rec) of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval the value of receive error counter. + */ +uint8_t can_receive_error_counter_get(can_type* can_x) +{ + uint8_t counter = 0; + counter = can_x->ests_bit.rec; + return counter; +} + +/** + * @brief return the transmit error counter of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @retval the value of transmit error counter. + */ +uint8_t can_transmit_error_counter_get(can_type* can_x) +{ + uint8_t counter = 0; + counter = can_x->ests_bit.tec; + return counter; +} + +/** + * @brief enable or disable the interrupt of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_int: specifies the can interrupt sources to be enabled or disabled. + * this parameter can be one of the following values: + * - CAN_TCIEN_INT + * - CAN_RF0MIEN_INT + * - CAN_RF0FIEN_INT + * - CAN_RF0OIEN_INT + * - CAN_RF1MIEN_INT + * - CAN_RF1FIEN_INT + * - CAN_RF1OIEN_INT + * - CAN_EAIEN_INT + * - CAN_EPIEN_INT + * - CAN_BOIEN_INT + * - CAN_ETRIEN_INT + * - CAN_EOIEN_INT + * - CAN_QDZIEN_INT + * - CAN_EDZIEN_INT + * @param new_state: new state of the can interrupts. + * this parameter can be: TRUE or FALSE. + * @retval none. + */ +void can_interrupt_enable(can_type* can_x, uint32_t can_int, confirm_state new_state) +{ + if (new_state != FALSE) + { + can_x->inten |= can_int; + } + else + { + can_x->inten &= ~can_int; + } +} + +/** + * @brief get interrupt flag of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_flag: select the flag. + * this parameter can be one of the following flags: + * - CAN_EAF_FLAG + * - CAN_EPF_FLAG + * - CAN_BOF_FLAG + * - CAN_ETR_FLAG + * - CAN_EOIF_FLAG + * - CAN_TM0TCF_FLAG + * - CAN_TM1TCF_FLAG + * - CAN_TM2TCF_FLAG + * - CAN_RF0MN_FLAG + * - CAN_RF0FF_FLAG + * - CAN_RF0OF_FLAG + * - CAN_RF1MN_FLAG + * - CAN_RF1FF_FLAG + * - CAN_RF1OF_FLAG + * - CAN_QDZIF_FLAG + * - CAN_EDZC_FLAG + * - CAN_TMEF_FLAG + * note:the state of CAN_EDZC_FLAG need to check dzc and edzif bit + * note:the state of CAN_TMEF_FLAG need to check rqc0,rqc1 and rqc2 bit + * @retval status of can_flag, the returned value can be:SET or RESET. + */ +flag_status can_interrupt_flag_get(can_type* can_x, uint32_t can_flag) +{ + flag_status bit_status = RESET; + flag_status int_status = RESET; + + switch(can_flag) + { + case CAN_EAF_FLAG: + int_status = (flag_status)(can_x->inten_bit.eoien && can_x->inten_bit.eaien); + break; + case CAN_EPF_FLAG: + int_status = (flag_status)(can_x->inten_bit.eoien && can_x->inten_bit.epien); + break; + case CAN_BOF_FLAG: + int_status = (flag_status)(can_x->inten_bit.eoien && can_x->inten_bit.boien); + break; + case CAN_ETR_FLAG: + int_status = (flag_status)(can_x->inten_bit.eoien && can_x->inten_bit.etrien); + break; + case CAN_EOIF_FLAG: + int_status = (flag_status)can_x->inten_bit.eoien; + break; + case CAN_TM0TCF_FLAG: + case CAN_TM1TCF_FLAG: + case CAN_TM2TCF_FLAG: + int_status = (flag_status)can_x->inten_bit.tcien; + break; + case CAN_RF0MN_FLAG: + int_status = (flag_status)can_x->inten_bit.rf0mien; + break; + case CAN_RF0FF_FLAG: + int_status = (flag_status)can_x->inten_bit.rf0fien; + break; + case CAN_RF0OF_FLAG: + int_status = (flag_status)can_x->inten_bit.rf0oien; + break; + case CAN_RF1MN_FLAG: + int_status = (flag_status)can_x->inten_bit.rf1mien; + break; + case CAN_RF1FF_FLAG: + int_status = (flag_status)can_x->inten_bit.rf1fien; + break; + case CAN_RF1OF_FLAG: + int_status = (flag_status)can_x->inten_bit.rf1oien; + break; + case CAN_QDZIF_FLAG: + int_status = (flag_status)can_x->inten_bit.qdzien; + break; + case CAN_EDZC_FLAG: + int_status = (flag_status)can_x->inten_bit.edzien; + break; + case CAN_TMEF_FLAG: + int_status = (flag_status)can_x->inten_bit.tcien; + break; + default: + int_status = RESET; + break; + } + + if(int_status != SET) + { + return RESET; + } + bit_status = can_flag_get(can_x, can_flag); + + return bit_status; +} + +/** + * @brief get flag of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_flag: select the flag. + * this parameter can be one of the following flags: + * - CAN_EAF_FLAG + * - CAN_EPF_FLAG + * - CAN_BOF_FLAG + * - CAN_ETR_FLAG + * - CAN_EOIF_FLAG + * - CAN_TM0TCF_FLAG + * - CAN_TM1TCF_FLAG + * - CAN_TM2TCF_FLAG + * - CAN_RF0MN_FLAG + * - CAN_RF0FF_FLAG + * - CAN_RF0OF_FLAG + * - CAN_RF1MN_FLAG + * - CAN_RF1FF_FLAG + * - CAN_RF1OF_FLAG + * - CAN_QDZIF_FLAG + * - CAN_EDZC_FLAG + * - CAN_TMEF_FLAG + * note:the state of CAN_EDZC_FLAG need to check dzc and edzif bit + * note:the state of CAN_TMEF_FLAG need to check rqc0,rqc1 and rqc2 bit + * @retval status of can_flag, the returned value can be:SET or RESET. + */ +flag_status can_flag_get(can_type* can_x, uint32_t can_flag) +{ + flag_status bit_status = RESET; + switch(can_flag) + { + case CAN_EAF_FLAG: + bit_status = (flag_status)can_x->ests_bit.eaf; + break; + case CAN_EPF_FLAG: + bit_status = (flag_status)can_x->ests_bit.epf; + break; + case CAN_BOF_FLAG: + bit_status = (flag_status)can_x->ests_bit.bof; + break; + case CAN_ETR_FLAG: + if(can_x->ests_bit.etr != 0) + { + bit_status = SET; + } + else + { + bit_status = RESET; + } + break; + case CAN_EOIF_FLAG: + bit_status = (flag_status)can_x->msts_bit.eoif; + break; + case CAN_TM0TCF_FLAG: + bit_status = (flag_status)can_x->tsts_bit.tm0tcf; + break; + case CAN_TM1TCF_FLAG: + bit_status = (flag_status)can_x->tsts_bit.tm1tcf; + break; + case CAN_TM2TCF_FLAG: + bit_status = (flag_status)can_x->tsts_bit.tm2tcf; + break; + case CAN_RF0MN_FLAG: + if(can_x->rf0_bit.rf0mn != 0) + { + bit_status = SET; + } + else + { + bit_status = RESET; + } + break; + case CAN_RF0FF_FLAG: + bit_status = (flag_status)can_x->rf0_bit.rf0ff; + break; + case CAN_RF0OF_FLAG: + bit_status = (flag_status)can_x->rf0_bit.rf0of; + break; + case CAN_RF1MN_FLAG: + if(can_x->rf1_bit.rf1mn != 0) + { + bit_status = SET; + } + else + { + bit_status = RESET; + } + break; + case CAN_RF1FF_FLAG: + bit_status = (flag_status)can_x->rf1_bit.rf1ff; + break; + case CAN_RF1OF_FLAG: + bit_status = (flag_status)can_x->rf1_bit.rf1of; + break; + case CAN_QDZIF_FLAG: + bit_status = (flag_status)can_x->msts_bit.qdzif; + break; + case CAN_EDZC_FLAG: + if((can_x->msts_bit.dzc != RESET) ||(can_x->msts_bit.edzif != RESET)) + { + bit_status = SET; + } + else + { + bit_status = RESET; + } + break; + case CAN_TMEF_FLAG: + if((can_x->tsts_bit.tm0ef != RESET) || (can_x->tsts_bit.tm1ef != RESET) || (can_x->tsts_bit.tm2ef != RESET)) + { + bit_status = SET; + } + else + { + bit_status = RESET; + } + break; + default: + bit_status = RESET; + break; + } + return bit_status; +} + +/** + * @brief clear flag of the specified can peripheral. + * @param can_x: select the can peripheral. + * this parameter can be one of the following values: + * CAN1, CAN2. + * @param can_flag: select the flag. + * this parameter can be one of the following flags: + * - CAN_EAF_FLAG + * - CAN_EPF_FLAG + * - CAN_BOF_FLAG + * - CAN_ETR_FLAG + * - CAN_EOIF_FLAG + * - CAN_TM0TCF_FLAG + * - CAN_TM1TCF_FLAG + * - CAN_TM2TCF_FLAG + * - CAN_RF0FF_FLAG + * - CAN_RF0OF_FLAG + * - CAN_RF1FF_FLAG + * - CAN_RF1OF_FLAG + * - CAN_QDZIF_FLAG + * - CAN_EDZC_FLAG + * - CAN_TMEF_FLAG + * note:CAN_RF0MN_FLAG and CAN_RF1MN_FLAG can not clear by this function + * @retval none. + */ +void can_flag_clear(can_type* can_x, uint32_t can_flag) +{ + switch(can_flag) + { + case CAN_EAF_FLAG: + case CAN_EPF_FLAG: + case CAN_BOF_FLAG: + case CAN_EOIF_FLAG: + can_x->msts = CAN_MSTS_EOIF_VAL; + break; + case CAN_ETR_FLAG: + can_x->msts = CAN_MSTS_EOIF_VAL; + can_x->ests = 0; + break; + case CAN_TM0TCF_FLAG: + can_x->tsts = CAN_TSTS_TM0TCF_VAL; + break; + case CAN_TM1TCF_FLAG: + can_x->tsts = CAN_TSTS_TM1TCF_VAL; + break; + case CAN_TM2TCF_FLAG: + can_x->tsts = CAN_TSTS_TM2TCF_VAL; + break; + case CAN_RF0FF_FLAG: + can_x->rf0 = CAN_RF0_RF0FF_VAL; + break; + case CAN_RF0OF_FLAG: + can_x->rf0 = CAN_RF0_RF0OF_VAL; + break; + case CAN_RF1FF_FLAG: + can_x->rf1 = CAN_RF1_RF1FF_VAL; + break; + case CAN_RF1OF_FLAG: + can_x->rf1 = CAN_RF1_RF1OF_VAL; + break; + case CAN_QDZIF_FLAG: + can_x->msts = CAN_MSTS_QDZIF_VAL; + break; + case CAN_EDZC_FLAG: + can_x->msts = CAN_MSTS_EDZIF_VAL; + break; + case CAN_TMEF_FLAG: + can_x->tsts = CAN_TSTS_TM0TCF_VAL | CAN_TSTS_TM1TCF_VAL | CAN_TSTS_TM2TCF_VAL; + break; + default: + break; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_crc.c b/Firmware/drivers/src/at32a423_crc.c new file mode 100644 index 0000000..090b61d --- /dev/null +++ b/Firmware/drivers/src/at32a423_crc.c @@ -0,0 +1,208 @@ +/** + ************************************************************************** + * @file at32a423_crc.c + * @brief contains all the functions for the crc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup CRC + * @brief CRC driver modules + * @{ + */ + +#ifdef CRC_MODULE_ENABLED + +/** @defgroup CRC_private_functions + * @{ + */ + +/** + * @brief reset the crc data register. + * @param none + * @retval none + */ +void crc_data_reset(void) +{ + /* reset crc generator */ + CRC->ctrl_bit.rst = 0x1; +} + +/** + * @brief compute the 32-bit crc of a given data word(32-bit). + * @param data: data word(32-bit) to compute its crc + * @retval 32-bit crc + */ +uint32_t crc_one_word_calculate(uint32_t data) +{ + CRC->dt = data; + return (CRC->dt); +} + +/** + * @brief compute the 32-bit crc of a given buffer of data word(32-bit). + * @param pbuffer: pointer to the buffer containing the data to be computed + * @param length: length of the buffer to be computed + * @retval 32-bit crc + */ +uint32_t crc_block_calculate(uint32_t *pbuffer, uint32_t length) +{ + uint32_t index = 0; + + for(index = 0; index < length; index++) + { + CRC->dt = pbuffer[index]; + } + + return (CRC->dt); +} + +/** + * @brief return the current crc value. + * @param none + * @retval 32-bit crc + */ +uint32_t crc_data_get(void) +{ + return (CRC->dt); +} + +/** + * @brief store a 8-bit data in the common data register. + * @param cdt_value: 8-bit value to be stored in the common data register + * @retval none + */ +void crc_common_data_set(uint8_t cdt_value) +{ + CRC->cdt_bit.cdt = cdt_value; +} + +/** + * @brief return the 8-bit data stored in the common data register + * @param none + * @retval 8-bit value of the common data register + */ +uint8_t crc_common_data_get(void) +{ + return (CRC->cdt_bit.cdt); +} + +/** + * @brief set the 32-bit initial data of crc + * @param value: initial data + * @retval none + */ +void crc_init_data_set(uint32_t value) +{ + CRC->idt = value; +} + +/** + * @brief control the reversal of the bit order in the input data + * @param value + * this parameter can be one of the following values: + * - CRC_REVERSE_INPUT_NO_AFFECTE + * - CRC_REVERSE_INPUT_BY_BYTE + * - CRC_REVERSE_INPUT_BY_HALFWORD + * - CRC_REVERSE_INPUT_BY_WORD + * @retval none. + */ +void crc_reverse_input_data_set(crc_reverse_input_type value) +{ + CRC->ctrl_bit.revid = value; +} + +/** + * @brief control the reversal of the bit order in the output data + * @param value + * this parameter can be one of the following values: + * - CRC_REVERSE_OUTPUT_NO_AFFECTE + * - CRC_REVERSE_OUTPUT_DATA + * @retval none. + */ +void crc_reverse_output_data_set(crc_reverse_output_type value) +{ + CRC->ctrl_bit.revod = value; +} + +/** + * @brief config crc polynomial value + * @param value + * 32-bit new data of crc poly value + * @retval none. + */ +void crc_poly_value_set(uint32_t value) +{ + CRC->poly = value; +} + +/** + * @brief return crc polynomial value + * @param none + * @retval 32-bit value of the polynomial value. + */ +uint32_t crc_poly_value_get(void) +{ + return (CRC->poly); +} + +/** + * @brief config crc polynomial data size + * @param size + * this parameter can be one of the following values: + * - CRC_POLY_SIZE_32B + * - CRC_POLY_SIZE_16B + * - CRC_POLY_SIZE_8B + * - CRC_POLY_SIZE_7B + * @retval none. + */ +void crc_poly_size_set(crc_poly_size_type size) +{ + CRC->ctrl_bit.poly_size = size; +} + +/** + * @brief return crc polynomial data size + * @param none + * @retval polynomial data size. + */ +crc_poly_size_type crc_poly_size_get(void) +{ + return (crc_poly_size_type)(CRC->ctrl_bit.poly_size); +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_crm.c b/Firmware/drivers/src/at32a423_crm.c new file mode 100644 index 0000000..7709897 --- /dev/null +++ b/Firmware/drivers/src/at32a423_crm.c @@ -0,0 +1,1182 @@ +/** + ************************************************************************** + * @file at32a423_crm.c + * @brief contains all the functions for the crm firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup CRM + * @brief CRM driver modules + * @{ + */ + +#ifdef CRM_MODULE_ENABLED + +/** @defgroup CRM_private_functions + * @{ + */ + +/** + * @brief reset the crm register + * @param none + * @retval none + */ +void crm_reset(void) +{ + /* reset the crm clock configuration to the default reset state(for debug purpose) */ + /* enable auto step mode */ + crm_auto_step_mode_enable(TRUE); + + /* set hicken bit */ + CRM->ctrl_bit.hicken = TRUE; + + /* wait hick stable */ + while(CRM->ctrl_bit.hickstbl != SET); + + /* hick used as system clock */ + CRM->cfg_bit.sclksel = CRM_SCLK_HICK; + + /* wait sclk switch status */ + while(CRM->cfg_bit.sclksts != CRM_SCLK_HICK); + + /* reset hexten, hextbyps, cfden and pllen bits */ + CRM->ctrl &= ~(0x010D0000U); + + /* reset cfg register, include sclk switch, ahbdiv, apb1div, apb2div, adcdiv, clkout bits */ + CRM->cfg = 0x40000000U; + + /* reset pllms pllns pllfr pllrcs bits */ + CRM->pllcfg = 0x00033002U; + + /* reset clkout_sel, clkoutdiv, pllclk_to_adc, hick_to_usb */ + CRM->misc1 &= 0x00005000U; + CRM->misc1 |= 0x000F0000U; + + /* disable all interrupts enable and clear pending bits */ + CRM->clkint = 0x009F0000U; + + /* disable auto step mode */ + crm_auto_step_mode_enable(FALSE); +} + +/** + * @brief enable or disable crm low speed external crystal bypass + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_lext_bypass(confirm_state new_state) +{ + CRM->bpdc_bit.lextbyps = new_state; +} + +/** + * @brief enable or disable crm high speed external crystal bypass + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_hext_bypass(confirm_state new_state) +{ + CRM->ctrl_bit.hextbyps = new_state; +} + +/** + * @brief get crm flag status + * @param flag + * this parameter can be one of the following values: + * - CRM_HICK_STABLE_FLAG + * - CRM_HEXT_STABLE_FLAG + * - CRM_PLL_STABLE_FLAG + * - CRM_LEXT_STABLE_FLAG + * - CRM_LICK_STABLE_FLAG + * - CRM_PIN_RESET_FLAG + * - CRM_POR_RESET_FLAG + * - CRM_SW_RESET_FLAG + * - CRM_WDT_RESET_FLAG + * - CRM_WWDT_RESET_FLAG + * - CRM_LOWPOWER_RESET_FLAG + * interrupt flag: + * - CRM_LICK_READY_INT_FLAG + * - CRM_LEXT_READY_INT_FLAG + * - CRM_HICK_READY_INT_FLAG + * - CRM_HEXT_READY_INT_FLAG + * - CRM_PLL_READY_INT_FLAG + * - CRM_CLOCK_FAILURE_INT_FLAG + * @retval flag_status (SET or RESET) + */ +flag_status crm_flag_get(uint32_t flag) +{ + flag_status status = RESET; + if((CRM_REG(flag) & CRM_REG_BIT(flag)) != CRM_REG_BIT(flag)) + { + status = RESET; + } + else + { + status = SET; + } + return status; +} + +/** + * @brief get crm interrupt flag status + * @param flag + * this parameter can be one of the following values: + * - CRM_LICK_READY_INT_FLAG + * - CRM_LEXT_READY_INT_FLAG + * - CRM_HICK_READY_INT_FLAG + * - CRM_HEXT_READY_INT_FLAG + * - CRM_PLL_READY_INT_FLAG + * - CRM_CLOCK_FAILURE_INT_FLAG + * @retval flag_status (SET or RESET) + */ +flag_status crm_interrupt_flag_get(uint32_t flag) +{ + flag_status status = RESET; + switch(flag) + { + case CRM_LICK_READY_INT_FLAG: + if(CRM->clkint_bit.lickstblf && CRM->clkint_bit.lickstblien) + { + status = SET; + } + break; + case CRM_LEXT_READY_INT_FLAG: + if(CRM->clkint_bit.lextstblf && CRM->clkint_bit.lextstblien) + { + status = SET; + } + break; + case CRM_HICK_READY_INT_FLAG: + if(CRM->clkint_bit.hickstblf && CRM->clkint_bit.hickstblien) + { + status = SET; + } + break; + case CRM_HEXT_READY_INT_FLAG: + if(CRM->clkint_bit.hextstblf && CRM->clkint_bit.hextstblien) + { + status = SET; + } + break; + case CRM_PLL_READY_INT_FLAG: + if(CRM->clkint_bit.pllstblf && CRM->clkint_bit.pllstblien) + { + status = SET; + } + break; + case CRM_CLOCK_FAILURE_INT_FLAG: + if(CRM->clkint_bit.cfdf && CRM->ctrl_bit.cfden) + { + status = SET; + } + break; + } + + return status; +} + +/** + * @brief wait for hext stable + * @param none + * @retval error_status (ERROR or SUCCESS) + */ +error_status crm_hext_stable_wait(void) +{ + uint32_t stable_cnt = 0; + error_status status = ERROR; + + while((crm_flag_get(CRM_HEXT_STABLE_FLAG) != SET) && (stable_cnt < HEXT_STARTUP_TIMEOUT)) + { + stable_cnt ++; + } + + if(crm_flag_get(CRM_HEXT_STABLE_FLAG) != SET) + { + status = ERROR; + } + else + { + status = SUCCESS; + } + + return status; +} + +/** + * @brief set the hick trimming value + * @param trim_value (0x00~0x3F) + * @retval none + */ +void crm_hick_clock_trimming_set(uint8_t trim_value) +{ + CRM->ctrl_bit.hicktrim = trim_value; +} + +/** + * @brief set the crm calibration value + * @param cali_value (0x00~0xFF) + * @retval none + */ +void crm_hick_clock_calibration_set(uint8_t cali_value) +{ + /* enable write hick calibration */ + CRM->misc1_bit.hickcal_key = 0x5A; + + /* write hick calibration value */ + CRM->ctrl_bit.hickcal = cali_value; + + /* disable write hick calibration */ + CRM->misc1_bit.hickcal_key = 0x0; +} + +/** + * @brief enable or disable the peripheral clock + * @param value + * this parameter can be one of the following values: + * - CRM_GPIOA_PERIPH_CLOCK - CRM_GPIOB_PERIPH_CLOCK - CRM_GPIOC_PERIPH_CLOCK - CRM_GPIOD_PERIPH_CLOCK + * - CRM_GPIOE_PERIPH_CLOCK - CRM_GPIOF_PERIPH_CLOCK - CRM_CRC_PERIPH_CLOCK - CRM_DMA1_PERIPH_CLOCK + * - CRM_DMA2_PERIPH_CLOCK - CRM_OTGFS1_PERIPH_CLOCK - CRM_XMC_PERIPH_CLOCK - CRM_TMR2_PERIPH_CLOCK + * - CRM_TMR3_PERIPH_CLOCK - CRM_TMR4_PERIPH_CLOCK - CRM_TMR6_PERIPH_CLOCK - CRM_TMR7_PERIPH_CLOCK + * - CRM_TMR12_PERIPH_CLOCK - CRM_TMR13_PERIPH_CLOCK - CRM_TMR14_PERIPH_CLOCK - CRM_WWDT_PERIPH_CLOCK + * - CRM_SPI2_PERIPH_CLOCK - CRM_SPI3_PERIPH_CLOCK - CRM_USART2_PERIPH_CLOCK - CRM_USART3_PERIPH_CLOCK + * - CRM_USART4_PERIPH_CLOCK - CRM_USART5_PERIPH_CLOCK - CRM_I2C1_PERIPH_CLOCK - CRM_I2C2_PERIPH_CLOCK + * - CRM_I2C3_PERIPH_CLOCK - CRM_CAN1_PERIPH_CLOCK - CRM_CAN2_PERIPH_CLOCK - CRM_PWC_PERIPH_CLOCK + * - CRM_DAC_PERIPH_CLOCK - CRM_USART7_PERIPH_CLOCK - CRM_USART8_PERIPH_CLOCK - CRM_TMR1_PERIPH_CLOCK + * - CRM_USART1_PERIPH_CLOCK - CRM_USART6_PERIPH_CLOCK - CRM_ADC1_PERIPH_CLOCK - CRM_SPI1_PERIPH_CLOCK + * - CRM_SCFG_PERIPH_CLOCK - CRM_TMR9_PERIPH_CLOCK - CRM_TMR10_PERIPH_CLOCK - CRM_TMR11_PERIPH_CLOCK + * - CRM_ACC_PERIPH_CLOCK + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_periph_clock_enable(crm_periph_clock_type value, confirm_state new_state) +{ + /* enable periph clock */ + if(TRUE == new_state) + { + CRM_REG(value) |= CRM_REG_BIT(value); + } + /* disable periph clock */ + else + { + CRM_REG(value) &= ~(CRM_REG_BIT(value)); + } +} + +/** + * @brief enable or disable the peripheral reset + * @param value + * this parameter can be one of the following values: + * - CRM_GPIOA_PERIPH_RESET - CRM_GPIOB_PERIPH_RESET - CRM_GPIOC_PERIPH_RESET - CRM_GPIOD_PERIPH_RESET + * - CRM_GPIOE_PERIPH_RESET - CRM_GPIOF_PERIPH_RESET - CRM_CRC_PERIPH_RESET - CRM_DMA1_PERIPH_RESET + * - CRM_DMA2_PERIPH_RESET - CRM_OTGFS1_PERIPH_RESET - CRM_XMC_PERIPH_RESET - CRM_QSPI1_PERIPH_RESET + * - CRM_TMR2_PERIPH_RESET - CRM_TMR3_PERIPH_RESET - CRM_TMR4_PERIPH_RESET - CRM_TMR6_PERIPH_RESET + * - CRM_TMR7_PERIPH_RESET - CRM_TMR12_PERIPH_RESET - CRM_TMR13_PERIPH_RESET - CRM_TMR14_PERIPH_RESET + * - CRM_WWDT_PERIPH_RESET - CRM_SPI2_PERIPH_RESET - CRM_SPI3_PERIPH_RESET - CRM_USART2_PERIPH_RESET + * - CRM_USART3_PERIPH_RESET - CRM_USART4_PERIPH_RESET - CRM_USART5_PERIPH_RESET - CRM_I2C1_PERIPH_RESET + * - CRM_I2C2_PERIPH_RESET - CRM_I2C3_PERIPH_RESET - CRM_CAN1_PERIPH_RESET - CRM_CAN2_PERIPH_RESET + * - CRM_PWC_PERIPH_RESET - CRM_DAC_PERIPH_RESET - CRM_USART7_PERIPH_RESET - CRM_USART8_PERIPH_RESET + * - CRM_TMR1_PERIPH_RESET - CRM_USART1_PERIPH_RESET - CRM_USART6_PERIPH_RESET - CRM_ADC_PERIPH_RESET + * - CRM_SPI1_PERIPH_RESET - CRM_SCFG_PERIPH_RESET - CRM_TMR9_PERIPH_RESET - CRM_TMR10_PERIPH_RESET + * - CRM_TMR11_PERIPH_RESET - CRM_ACC_PERIPH_RESET + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_periph_reset(crm_periph_reset_type value, confirm_state new_state) +{ + /* enable periph reset */ + if(new_state == TRUE) + { + CRM_REG(value) |= (CRM_REG_BIT(value)); + } + /* disable periph reset */ + else + { + CRM_REG(value) &= ~(CRM_REG_BIT(value)); + } +} + +/** + * @brief enable or disable the peripheral clock in lowpower mode + * @param value + * this parameter can be one of the following values: + * - CRM_GPIOA_PERIPH_LOWPOWER - CRM_GPIOB_PERIPH_LOWPOWER - CRM_GPIOC_PERIPH_LOWPOWER - CRM_GPIOD_PERIPH_LOWPOWER + * - CRM_GPIOE_PERIPH_LOWPOWER - CRM_GPIOF_PERIPH_LOWPOWER - CRM_CRC_PERIPH_LOWPOWER - CRM_DMA1_PERIPH_LOWPOWER + * - CRM_DMA2_PERIPH_LOWPOWER - CRM_OTGFS1_PERIPH_LOWPOWER - CRM_XMC_PERIPH_LOWPOWER - CRM_TMR2_PERIPH_LOWPOWER + * - CRM_TMR3_PERIPH_LOWPOWER - CRM_TMR4_PERIPH_LOWPOWER - CRM_TMR6_PERIPH_LOWPOWER - CRM_TMR7_PERIPH_LOWPOWER + * - CRM_TMR12_PERIPH_LOWPOWER - CRM_TMR13_PERIPH_LOWPOWER - CRM_TMR14_PERIPH_LOWPOWER - CRM_WWDT_PERIPH_LOWPOWER + * - CRM_SPI2_PERIPH_LOWPOWER - CRM_SPI3_PERIPH_LOWPOWER - CRM_USART2_PERIPH_LOWPOWER - CRM_USART3_PERIPH_LOWPOWER + * - CRM_USART4_PERIPH_LOWPOWER - CRM_USART5_PERIPH_LOWPOWER - CRM_I2C1_PERIPH_LOWPOWER - CRM_I2C2_PERIPH_LOWPOWER + * - CRM_I2C3_PERIPH_LOWPOWER - CRM_CAN1_PERIPH_LOWPOWER - CRM_CAN2_PERIPH_LOWPOWER - CRM_PWC_PERIPH_LOWPOWER + * - CRM_DAC_PERIPH_LOWPOWER - CRM_USART7_PERIPH_LOWPOWER - CRM_USART8_PERIPH_LOWPOWER - CRM_TMR1_PERIPH_LOWPOWER + * - CRM_USART1_PERIPH_LOWPOWER - CRM_USART6_PERIPH_LOWPOWER - CRM_ADC1_PERIPH_LOWPOWER - CRM_SPI1_PERIPH_LOWPOWER + * - CRM_SCFG_PERIPH_LOWPOWER - CRM_TMR9_PERIPH_LOWPOWER - CRM_TMR10_PERIPH_LOWPOWER - CRM_TMR11_PERIPH_LOWPOWER + * - CRM_ACC_PERIPH_LOWPOWER - CRM_FLASH_PERIPH_LOWPOWER - CRM_SRAM_PERIPH_LOWPOWER + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_periph_lowpower_mode_enable(crm_periph_clock_lowpower_type value, confirm_state new_state) +{ + /* enable periph clock in lowpower mode */ + if(new_state == TRUE) + { + CRM_REG(value) |= (CRM_REG_BIT(value)); + } + /* disable periph clock in lowpower mode */ + else + { + CRM_REG(value) &= ~(CRM_REG_BIT(value)); + } +} + +/** + * @brief enable or disable the crm clock source + * @param source + * this parameter can be one of the following values: + * - CRM_CLOCK_SOURCE_HICK + * - CRM_CLOCK_SOURCE_HEXT + * - CRM_CLOCK_SOURCE_PLL + * - CRM_CLOCK_SOURCE_LEXT + * - CRM_CLOCK_SOURCE_LICK + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_clock_source_enable(crm_clock_source_type source, confirm_state new_state) +{ + switch(source) + { + case CRM_CLOCK_SOURCE_HICK: + CRM->ctrl_bit.hicken = new_state; + break; + case CRM_CLOCK_SOURCE_HEXT: + CRM->ctrl_bit.hexten = new_state; + break; + case CRM_CLOCK_SOURCE_PLL: + CRM->ctrl_bit.pllen = new_state; + break; + case CRM_CLOCK_SOURCE_LEXT: + CRM->bpdc_bit.lexten = new_state; + break; + case CRM_CLOCK_SOURCE_LICK: + CRM->ctrlsts_bit.licken = new_state; + break; + default: break; + } +} + +/** + * @brief clear the crm reset flags + * @param flag + * this parameter can be one of the following values: + * reset flag: + * - CRM_PIN_RESET_FLAG + * - CRM_POR_RESET_FLAG + * - CRM_SW_RESET_FLAG + * - CRM_WDT_RESET_FLAG + * - CRM_WWDT_RESET_FLAG + * - CRM_LOWPOWER_RESET_FLAG + * - CRM_ALL_RESET_FLAG + * interrupt flag: + * - CRM_LICK_READY_INT_FLAG + * - CRM_LEXT_READY_INT_FLAG + * - CRM_HICK_READY_INT_FLAG + * - CRM_HEXT_READY_INT_FLAG + * - CRM_PLL_READY_INT_FLAG + * - CRM_CLOCK_FAILURE_INT_FLAG + * @retval none + */ +void crm_flag_clear(uint32_t flag) +{ + switch(flag) + { + case CRM_NRST_RESET_FLAG: + case CRM_POR_RESET_FLAG: + case CRM_SW_RESET_FLAG: + case CRM_WDT_RESET_FLAG: + case CRM_WWDT_RESET_FLAG: + case CRM_LOWPOWER_RESET_FLAG: + case CRM_ALL_RESET_FLAG: + CRM->ctrlsts_bit.rstfc = TRUE; + while(CRM->ctrlsts_bit.rstfc == TRUE); + break; + case CRM_LICK_READY_INT_FLAG: + CRM->clkint_bit.lickstblfc = TRUE; + break; + case CRM_LEXT_READY_INT_FLAG: + CRM->clkint_bit.lextstblfc = TRUE; + break; + case CRM_HICK_READY_INT_FLAG: + CRM->clkint_bit.hickstblfc = TRUE; + break; + case CRM_HEXT_READY_INT_FLAG: + CRM->clkint_bit.hextstblfc = TRUE; + break; + case CRM_PLL_READY_INT_FLAG: + CRM->clkint_bit.pllstblfc = TRUE; + break; + case CRM_CLOCK_FAILURE_INT_FLAG: + CRM->clkint_bit.cfdfc = TRUE; + break; + default: + break; + } +} + +/** + * @brief select ertc clock + * @param value + * this parameter can be one of the following values: + * - CRM_ERTC_CLOCK_NOCLK + * - CRM_ERTC_CLOCK_LEXT + * - CRM_ERTC_CLOCK_LICK + * - CRM_ERTC_CLOCK_HEXT_DIV_2 + * - CRM_ERTC_CLOCK_HEXT_DIV_3 + * - CRM_ERTC_CLOCK_HEXT_DIV_4 + * - CRM_ERTC_CLOCK_HEXT_DIV_5 + * - CRM_ERTC_CLOCK_HEXT_DIV_6 + * - CRM_ERTC_CLOCK_HEXT_DIV_7 + * - CRM_ERTC_CLOCK_HEXT_DIV_8 + * - CRM_ERTC_CLOCK_HEXT_DIV_9 + * - CRM_ERTC_CLOCK_HEXT_DIV_10 + * - CRM_ERTC_CLOCK_HEXT_DIV_11 + * - CRM_ERTC_CLOCK_HEXT_DIV_12 + * - CRM_ERTC_CLOCK_HEXT_DIV_13 + * - CRM_ERTC_CLOCK_HEXT_DIV_14 + * - CRM_ERTC_CLOCK_HEXT_DIV_15 + * - CRM_ERTC_CLOCK_HEXT_DIV_16 + * - CRM_ERTC_CLOCK_HEXT_DIV_17 + * - CRM_ERTC_CLOCK_HEXT_DIV_18 + * - CRM_ERTC_CLOCK_HEXT_DIV_19 + * - CRM_ERTC_CLOCK_HEXT_DIV_20 + * - CRM_ERTC_CLOCK_HEXT_DIV_21 + * - CRM_ERTC_CLOCK_HEXT_DIV_22 + * - CRM_ERTC_CLOCK_HEXT_DIV_23 + * - CRM_ERTC_CLOCK_HEXT_DIV_24 + * - CRM_ERTC_CLOCK_HEXT_DIV_25 + * - CRM_ERTC_CLOCK_HEXT_DIV_26 + * - CRM_ERTC_CLOCK_HEXT_DIV_27 + * - CRM_ERTC_CLOCK_HEXT_DIV_28 + * - CRM_ERTC_CLOCK_HEXT_DIV_29 + * - CRM_ERTC_CLOCK_HEXT_DIV_30 + * - CRM_ERTC_CLOCK_HEXT_DIV_31 + * @retval none + */ +void crm_ertc_clock_select(crm_ertc_clock_type value) +{ + CRM->cfg_bit.ertcdiv = ((value & 0x1F0) >> 4); + CRM->bpdc_bit.ertcsel = (value & 0xF); +} + +/** + * @brief enable or disable ertc + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_ertc_clock_enable(confirm_state new_state) +{ + CRM->bpdc_bit.ertcen = new_state; +} + +/** + * @brief set crm ahb division + * @param value + * this parameter can be one of the following values: + * - CRM_AHB_DIV_1 + * - CRM_AHB_DIV_2 + * - CRM_AHB_DIV_4 + * - CRM_AHB_DIV_8 + * - CRM_AHB_DIV_16 + * - CRM_AHB_DIV_64 + * - CRM_AHB_DIV_128 + * - CRM_AHB_DIV_256 + * - CRM_AHB_DIV_512 + * @retval none + */ +void crm_ahb_div_set(crm_ahb_div_type value) +{ + /* enable auto step mode */ + crm_auto_step_mode_enable(TRUE); + + CRM->cfg_bit.ahbdiv = value; + + /* disable auto step mode */ + crm_auto_step_mode_enable(FALSE); +} + +/** + * @brief set crm apb1 division + * @note the maximum frequency of APB1 clock is 120 MHz + * @param value + * this parameter can be one of the following values: + * - CRM_APB1_DIV_1 + * - CRM_APB1_DIV_2 + * - CRM_APB1_DIV_4 + * - CRM_APB1_DIV_8 + * - CRM_APB1_DIV_16 + * @retval none + */ +void crm_apb1_div_set(crm_apb1_div_type value) +{ + CRM->cfg_bit.apb1div = value; +} + +/** + * @brief set crm apb2 division + * @note the maximum frequency of APB2 clock is 150 MHz + * @param value + * this parameter can be one of the following values: + * - CRM_APB2_DIV_1 + * - CRM_APB2_DIV_2 + * - CRM_APB2_DIV_4 + * - CRM_APB2_DIV_8 + * - CRM_APB2_DIV_16 + * @retval none + */ +void crm_apb2_div_set(crm_apb2_div_type value) +{ + CRM->cfg_bit.apb2div = value; +} + +/** + * @brief set crm hext to sysclk division + * @param value + * this parameter can be one of the following values: + * - CRM_HEXT_SCLK_DIV_1 + * - CRM_HEXT_SCLK_DIV_2 + * - CRM_HEXT_SCLK_DIV_4 + * - CRM_HEXT_SCLK_DIV_8 + * - CRM_HEXT_SCLK_DIV_16 + * - CRM_HEXT_SCLK_DIV_32 + * @retval none + */ +void crm_hext_sclk_div_set(crm_hext_sclk_div_type value) +{ + CRM->misc2_bit.hext_to_sclk_div = value; +} + +/** + * @brief set crm hick to sysclk division + * @param value + * this parameter can be one of the following values: + * - CRM_HICK_SCLK_DIV_1 + * - CRM_HICK_SCLK_DIV_2 + * - CRM_HICK_SCLK_DIV_4 + * - CRM_HICK_SCLK_DIV_8 + * - CRM_HICK_SCLK_DIV_16 + * @retval none + */ +void crm_hick_sclk_div_set(crm_hick_sclk_div_type value) +{ + CRM->misc2_bit.hick_to_sclk_div = value; +} + +/** + * @brief set usb division + * @param value + * this parameter can be one of the following values: + * - CRM_USB_DIV_3 + * - CRM_USB_DIV_2 + * - CRM_USB_DIV_5 + * - CRM_USB_DIV_4 + * - CRM_USB_DIV_7 + * - CRM_USB_DIV_6 + * - CRM_USB_DIV_9 + * - CRM_USB_DIV_8 + * @retval none + */ +void crm_usb_clock_div_set(crm_usb_div_type value) +{ + CRM->misc2_bit.usbdiv = value; +} + +/** + * @brief enable or disable clock failure detection + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_clock_failure_detection_enable(confirm_state new_state) +{ + CRM->ctrl_bit.cfden = new_state; +} + +/** + * @brief battery powered domain software reset + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_battery_powered_domain_reset(confirm_state new_state) +{ + CRM->bpdc_bit.bpdrst = new_state; +} + +/** + * @brief auto step clock switch enable + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_auto_step_mode_enable(confirm_state new_state) +{ + if(new_state == TRUE) + CRM->misc2_bit.auto_step_en = CRM_AUTO_STEP_MODE_ENABLE; + else + CRM->misc2_bit.auto_step_en = CRM_AUTO_STEP_MODE_DISABLE; +} + +/** + * @brief usart multi clock source select + * @param usart_index + * this parameter can be one of the following values: + * - CRM_USART1 + * - CRM_USART2 + * - CRM_USART3 + * @param value + * this parameter can be one of the following values: + * - CRM_USART_CLOCK_SOURCE_PCLK + * - CRM_USART_CLOCK_SOURCE_SCLK + * - CRM_USART_CLOCK_SOURCE_HICK + * - CRM_USART_CLOCK_SOURCE_LEXT + * @retval none + */ +void crm_usart_clock_select(crm_usart_type usart_index, crm_usart_clock_source_type value) +{ + switch(usart_index) + { + case CRM_USART1: + CRM->piclks_bit.usart1sel = value; + break; + case CRM_USART2: + CRM->piclks_bit.usart2sel = value; + break; + case CRM_USART3: + CRM->piclks_bit.usart3sel = value; + break; + } +} + +/** + * @brief usart multi clock source select + * @param usart_index + * this parameter can be one of the following values: + * - CRM_USART1 + * - CRM_USART2 + * - CRM_USART3 + * @retval crm_usart_clock_source_type : the clock source of usart index. + */ +crm_usart_clock_source_type crm_usart_clock_get(crm_usart_type usart_index) +{ + crm_usart_clock_source_type value = CRM_USART_CLOCK_SOURCE_PCLK; + + switch(usart_index) + { + case CRM_USART1: + value = (crm_usart_clock_source_type)CRM->piclks_bit.usart1sel; + break; + case CRM_USART2: + value = (crm_usart_clock_source_type)CRM->piclks_bit.usart2sel; + break; + case CRM_USART3: + value = (crm_usart_clock_source_type)CRM->piclks_bit.usart3sel; + break; + } + + return value; +} + +/** + * @brief i2c multi clock source select + * @param i2c_index + * this parameter can be one of the following values: + * - CRM_I2C1 + * @param value + * this parameter can be one of the following values: + * - CRM_I2C_CLOCK_SOURCE_PCLK + * - CRM_I2C_CLOCK_SOURCE_SCLK + * - CRM_I2C_CLOCK_SOURCE_HICK + * @retval none + */ +void crm_i2c_clock_select(crm_i2c_type i2c_index, crm_i2c_clock_source_type value) +{ + switch(i2c_index) + { + case CRM_I2C1: + CRM->piclks_bit.i2c1sel = value; + break; + } +} + +/** + * @brief i2c multi clock source select + * @param i2c_index + * this parameter can be one of the following values: + * - CRM_I2C1 + * @retval crm_i2c_clock_source_type : the clock source of i2c index. + */ +crm_i2c_clock_source_type crm_i2c_clock_get(crm_i2c_type i2c_index) +{ + crm_i2c_clock_source_type value = CRM_I2C_CLOCK_SOURCE_PCLK; + + switch(i2c_index) + { + case CRM_I2C1: + value = (crm_i2c_clock_source_type)CRM->piclks_bit.i2c1sel; + break; + } + + return value; +} + +/** + * @brief adc multi clock source select + * @param value + * this parameter can be one of the following values: + * - CRM_ADC_CLOCK_SOURCE_HCLK + * - CRM_ADC_CLOCK_SOURCE_PLLCLK + * @retval none + */ +void crm_adc_clock_select(crm_adc_clock_source_type value) +{ + CRM->misc1_bit.pllclk_to_adc = value; +} + +/** + * @brief config hick divider select + * @param value + * this parameter can be one of the following values: + * - CRM_HICK48_DIV6 + * - CRM_HICK48_NODIV + * @retval none + */ +void crm_hick_divider_select(crm_hick_div_6_type value) +{ + __IO uint8_t temp_div = CRM->misc2_bit.hick_to_sclk_div; + __IO uint8_t temp_sclk = CRM->misc1_bit.hick_to_sclk; + + crm_hick_sclk_div_set(CRM_HICK_SCLK_DIV_16); + /* delay */ + { + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + } + + CRM->misc1_bit.hick_to_sclk = TRUE; + CRM->misc1_bit.hickdiv = value; + CRM->misc1_bit.hick_to_sclk = temp_sclk; + crm_hick_sclk_div_set((crm_hick_sclk_div_type)temp_div); +} + +/** + * @brief hick as system clock frequency select + * @param value + * this parameter can be one of the following values: + * - CRM_HICK_SCLK_8MHZ + * - CRM_HICK_SCLK_48MHZ + * @retval none + */ +void crm_hick_sclk_frequency_select(crm_hick_sclk_frequency_type value) +{ + __IO uint8_t temp_div = CRM->misc2_bit.hick_to_sclk_div; + + crm_hick_sclk_div_set(CRM_HICK_SCLK_DIV_16); + /* delay */ + { + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + __NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP();__NOP(); + } + + CRM->misc1_bit.hick_to_sclk = TRUE; + CRM->misc1_bit.hickdiv = CRM_HICK48_NODIV; + CRM->misc1_bit.hick_to_sclk = value; + crm_hick_sclk_div_set((crm_hick_sclk_div_type)temp_div); +} + +/** + * @brief usb 48 mhz clock source select + * @param value + * this parameter can be one of the following values: + * - CRM_USB_CLOCK_SOURCE_PLL + * - CRM_USB_CLOCK_SOURCE_HICK + * @retval none + */ +void crm_usb_clock_source_select(crm_usb_clock_source_type value) +{ + if(value == CRM_USB_CLOCK_SOURCE_HICK) + { + crm_hick_sclk_frequency_select(CRM_HICK_SCLK_48MHZ); + } + CRM->misc1_bit.hick_to_usb = value; +} + +/** + * @brief config crm pll + * pll_rcs_freq * pll_ns + * pll clock = -------------------------------- + * pll_ms * pll_fr_n + * attemtion: + * 31 <= pll_ns <= 500 + * 1 <= pll_ms <= 15 + * + * pll_rcs_freq + * 2mhz <= ---------------------- <= 16mhz + * pll_ms + * + * pll_rcs_freq * pll_ns + * 500mhz <= -------------------------------- <= 1000mhz + * pll_ms + * @param clock_source + * this parameter can be one of the following values: + * - CRM_PLL_SOURCE_HICK + * - CRM_PLL_SOURCE_HEXT + * @param pll_ns (31~500) + * @param pll_ms (1~15) + * @param pll_fr + * this parameter can be one of the following values: + * - CRM_PLL_FR_1 + * - CRM_PLL_FR_2 + * - CRM_PLL_FR_4 + * - CRM_PLL_FR_8 + * - CRM_PLL_FR_16 + * - CRM_PLL_FR_32 + * @retval none + */ +void crm_pll_config(crm_pll_clock_source_type clock_source, uint16_t pll_ns, \ + uint16_t pll_ms, crm_pll_fr_type pll_fr) +{ + /* config pll clock source */ + if(clock_source == CRM_PLL_SOURCE_HICK) + { + CRM->misc1_bit.hickdiv = CRM_HICK48_NODIV; + } + CRM->pllcfg_bit.pllrcs = clock_source; + + /* config pll multiplication factor */ + CRM->pllcfg_bit.pllns = pll_ns; + CRM->pllcfg_bit.pllms = pll_ms; + CRM->pllcfg_bit.pllfr = pll_fr; +} + +/** + * @brief select system clock source + * @param value + * this parameter can be one of the following values: + * - CRM_SCLK_HICK + * - CRM_SCLK_HEXT + * - CRM_SCLK_PLL + * @retval none + */ +void crm_sysclk_switch(crm_sclk_type value) +{ + /* enable auto step mode */ + crm_auto_step_mode_enable(TRUE); + + CRM->cfg_bit.sclksel = value; + + /* disable auto step mode */ + crm_auto_step_mode_enable(FALSE); +} + +/** + * @brief indicate which clock source is used as system clock + * @param none + * @retval crm_sclk + * this return can be one of the following values: + * - CRM_SCLK_HICK + * - CRM_SCLK_HEXT + * - CRM_SCLK_PLL + */ +crm_sclk_type crm_sysclk_switch_status_get(void) +{ + return (crm_sclk_type)CRM->cfg_bit.sclksts; +} + +/** + * @brief get crm clocks freqency + * @param clocks_struct + * - pointer to the crm_clocks_freq_type structure + * @retval none + */ +void crm_clocks_freq_get(crm_clocks_freq_type *clocks_struct) +{ + uint32_t pll_ns = 0, pll_ms = 0, pll_fr = 0, pll_clock_source = 0, pllrcsfreq = 0; + uint32_t temp = 0, div_value = 0, psc = 0; + crm_sclk_type sclk_source; + + static const uint8_t sclk_ahb_div_table[16] = {0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 8, 9}; + static const uint8_t ahb_apb1_div_table[8] = {0, 0, 0, 0, 1, 2, 3, 4}; + static const uint8_t ahb_apb2_div_table[8] = {0, 0, 0, 0, 1, 2, 3, 4}; + static const uint8_t pll_fr_table[6] = {1, 2, 4, 8, 16, 32}; + + /* get sclk source */ + sclk_source = crm_sysclk_switch_status_get(); + + switch(sclk_source) + { + case CRM_SCLK_HICK: + if(((CRM->misc1_bit.hick_to_sclk) != RESET) && ((CRM->misc1_bit.hickdiv) != RESET)) + clocks_struct->sclk_freq = HICK_VALUE * 6; + else + clocks_struct->sclk_freq = HICK_VALUE; + + psc = CRM->misc2_bit.hick_to_sclk_div; + clocks_struct->sclk_freq = clocks_struct->sclk_freq >> psc; + break; + case CRM_SCLK_HEXT: + clocks_struct->sclk_freq = HEXT_VALUE; + psc = CRM->misc2_bit.hext_to_sclk_div; + clocks_struct->sclk_freq = clocks_struct->sclk_freq >> psc; + break; + case CRM_SCLK_PLL: + /* get pll clock source */ + pll_clock_source = CRM->pllcfg_bit.pllrcs; + + /* get multiplication factor */ + pll_ns = CRM->pllcfg_bit.pllns; + pll_ms = CRM->pllcfg_bit.pllms; + pll_fr = pll_fr_table[CRM->pllcfg_bit.pllfr]; + + if (pll_clock_source == CRM_PLL_SOURCE_HICK) + { + /* hick selected as pll clock entry */ + pllrcsfreq = HICK_VALUE; + } + else + { + /* hext selected as pll clock entry */ + pllrcsfreq = HEXT_VALUE; + } + + clocks_struct->sclk_freq = (uint32_t)(((uint64_t)pllrcsfreq * pll_ns) / (pll_ms * pll_fr) / 2); + break; + default: + clocks_struct->sclk_freq = HICK_VALUE; + break; + } + + /* compute sclk, ahbclk, abp1clk and apb2clk frequencies */ + /* get ahb division */ + temp = CRM->cfg_bit.ahbdiv; + div_value = sclk_ahb_div_table[temp]; + /* ahbclk frequency */ + clocks_struct->ahb_freq = clocks_struct->sclk_freq >> div_value; + + /* get apb1 division */ + temp = CRM->cfg_bit.apb1div; + div_value = ahb_apb1_div_table[temp]; + /* apb1clk frequency */ + clocks_struct->apb1_freq = clocks_struct->ahb_freq >> div_value; + + /* get apb2 division */ + temp = CRM->cfg_bit.apb2div; + div_value = ahb_apb2_div_table[temp]; + /* apb2clk frequency */ + clocks_struct->apb2_freq = clocks_struct->ahb_freq >> div_value; +} + +/** + * @brief set crm clkout + * @param clkout + * this parameter can be one of the following values: + * - CRM_CLKOUT_SCLK + * - CRM_CLKOUT_HEXT + * - CRM_CLKOUT_PLL + * - CRM_CLKOUT_USB + * - CRM_CLKOUT_ADC + * - CRM_CLKOUT_HICK + * - CRM_CLKOUT_LICK + * - CRM_CLKOUT_LEXT + * @retval none + */ +void crm_clock_out_set(crm_clkout_select_type clkout) +{ + if(clkout < 0x10) + { + CRM->cfg_bit.clkout_sel1 = (clkout & 0x3); + } + else + { + CRM->cfg_bit.clkout_sel1 = 0x1; + CRM->misc1_bit.clkout_sel2 = (clkout & 0xF); + } +} + +/** + * @brief set crm clkout1 division1 + * @param div1 + * this parameter can be one of the following values: + * - CRM_CLKOUT_DIV1_1 + * - CRM_CLKOUT_DIV1_2 + * - CRM_CLKOUT_DIV1_3 + * - CRM_CLKOUT_DIV1_4 + * - CRM_CLKOUT_DIV1_5 + * @param div2 + * this parameter can be one of the following values: + * - CRM_CLKOUT_DIV2_1 + * - CRM_CLKOUT_DIV2_2 + * - CRM_CLKOUT_DIV2_4 + * - CRM_CLKOUT_DIV2_8 + * - CRM_CLKOUT_DIV2_16 + * - CRM_CLKOUT_DIV2_64 + * - CRM_CLKOUT_DIV2_128 + * - CRM_CLKOUT_DIV2_256 + * - CRM_CLKOUT_DIV2_512 + * @retval none + */ +void crm_clkout_div_set(crm_clkout_div1_type div1, crm_clkout_div2_type div2) +{ + CRM->cfg_bit.clkoutdiv1 = div1; + CRM->misc1_bit.clkoutdiv2 = div2; +} + +/** + * @brief config crm interrupt + * @param int + * this parameter can be any combination of the following values: + * - CRM_LICK_STABLE_INT + * - CRM_LEXT_STABLE_INT + * - CRM_HICK_STABLE_INT + * - CRM_HEXT_STABLE_INT + * - CRM_PLL_STABLE_INT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void crm_interrupt_enable(uint32_t crm_int, confirm_state new_state) +{ + if(TRUE == new_state) + CRM->clkint |= crm_int; + else + CRM->clkint &= ~crm_int; +} + +/** + * @brief calculate the pll parameters with pll reference clock and target pll output frequency. + * pll_rcs_freq * pll_ns + * pll clock = -------------------------------- + * pll_ms * pll_fr_n + * attemtion: + * 31 <= pll_ns <= 500 + * 1 <= pll_ms <= 15 + * + * pll_rcs_freq + * 2mhz <= ---------------------- <= 16mhz + * pll_ms + * + * pll_rcs_freq * pll_ns + * 500mhz <= -------------------------------- <= 1000mhz + * pll_ms + * @param pll_rcs + * this parameter can be one of the following values: + * - CRM_PLL_SOURCE_HICK + * - CRM_PLL_SOURCE_HEXT + * @param target_sclk_freq: target pll output frequency, such as 200 mhz (target_sclk_freq: 200000000) + * @param ret_ms: pointer to ms value, return the pll_ms of pll parameters + * @param ret_ns: pointer to ns value, return the pll_ns of pll parameters + * @param ret_fr: pointer to fr value, return the pll_fr of pll parameters + * @retval error_status (SUCCESS or ERROR) + */ +error_status crm_pll_parameter_calculate(crm_pll_clock_source_type pll_rcs, uint32_t target_sclk_freq, \ + uint16_t *ret_ms, uint16_t *ret_ns, uint16_t *ret_fr) +{ + uint32_t error_min = 0xFFFFFFFF; + uint32_t pll_rcs_freq = 0, result = 0, absolute_value = 0; + uint16_t ns = 0, ms = 0, fr = 0, ms_min = 0, ms_max = 0; + + /* reduce calculate accuracy, target_sclk_freq accuracy with khz */ + target_sclk_freq = target_sclk_freq / 1000 * 2; + + /* get pll reference clock frequency, accuracy with khz */ + if(pll_rcs == CRM_PLL_SOURCE_HICK) + pll_rcs_freq = HICK_VALUE / 1000; + else + pll_rcs_freq = HEXT_VALUE / 1000; + + /* polling ms range, accuracy with khz */ + for(ms = 1; ms <= 15; ms ++) + { + result = pll_rcs_freq / ms; + if((result >= 2000U) && (result <= 16000U)) + { + if(ms_min == 0) + ms_min = ms; + + ms_max = ms; + } + } + + /* polling pll parameters */ + for(ms = ms_min; ms <= ms_max; ms ++) + { + for(fr = 0; fr <= 5; fr ++) + { + for(ns = 31; ns <= 500; ns ++) + { + result = (pll_rcs_freq * ns) / (ms); + /* check vco frequency range, accuracy with khz */ + if((result < 500000U) || (result > 1000000U)) + { + continue; + } + /* calculate pll output frequency */ + result = result / (0x1 << fr); + /* check frequency */ + if(target_sclk_freq == result) + { + *ret_ms = ms; + *ret_ns = ns; + *ret_fr = fr; + /* the pll parameters that is equal to target_sclk_freq */ + return SUCCESS; + } + /* calculate error range, accuracy with khz */ + absolute_value = (result > target_sclk_freq) ? (result - target_sclk_freq) : (target_sclk_freq - result); + if(absolute_value < error_min) + { + error_min = absolute_value; + *ret_ms = ms; + *ret_ns = ns; + *ret_fr = fr; + } + } + } + } + /* the pll parameters that is the closest approach to target_sclk_freq */ + return ERROR; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_dac.c b/Firmware/drivers/src/at32a423_dac.c new file mode 100644 index 0000000..5462a88 --- /dev/null +++ b/Firmware/drivers/src/at32a423_dac.c @@ -0,0 +1,480 @@ +/** + ************************************************************************** + * @file at32a423_dac.c + * @brief contains all the functions for the dac firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup DAC + * @brief DAC driver modules + * @{ + */ + +#ifdef DAC_MODULE_ENABLED + +/** @defgroup DAC_private_functions + * @{ + */ + +/** + * @brief dac reset + * @param none + * @retval none + */ +void dac_reset(void) +{ + crm_periph_reset(CRM_DAC_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_DAC_PERIPH_RESET, FALSE); +} + +/** + * @brief enable or disable dac + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void dac_enable(dac_select_type dac_select, confirm_state new_state) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1en = new_state; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2en = new_state; + break; + default: + break; + } +} + +/** + * @brief enable or disable dac output buffer + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void dac_output_buffer_enable(dac_select_type dac_select, confirm_state new_state) +{ + new_state = (confirm_state)!new_state; + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1obdis = new_state; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2obdis = new_state; + break; + default: + break; + } +} + +/** + * @brief enable or disable dac trigger + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void dac_trigger_enable(dac_select_type dac_select, confirm_state new_state) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1trgen = new_state; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2trgen = new_state; + break; + default: + break; + } +} + +/** + * @brief select dac trigger + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param dac_trigger_source + * this parameter can be one of the following values: + * - DAC_TMR6_TRGOUT_EVENT + * - DAC_TMR3_TRGOUT_EVENT + * - DAC_TMR7_TRGOUT_EVENT + * - DAC_TMR9_TRGOUT_EVENT + * - DAC_TMR2_TRGOUT_EVENT + * - DAC_TMR4_TRGOUT_EVENT + * - DAC_EXTERNAL_INTERRUPT_LINE_9 + * - DAC_SOFTWARE_TRIGGER + * @retval none + */ +void dac_trigger_select(dac_select_type dac_select, dac_trigger_type dac_trigger_source) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1trgsel = dac_trigger_source; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2trgsel = dac_trigger_source; + break; + default: + break; + } +} + +/** + * @brief generate dac software trigger + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @retval none + */ +void dac_software_trigger_generate(dac_select_type dac_select) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->swtrg_bit.d1swtrg = TRUE; + break; + case DAC2_SELECT: + DAC->swtrg_bit.d2swtrg = TRUE; + break; + default: + break; + } +} + +/** + * @brief generate dac dual software trigger synchronously + * @param none + * @retval none + */ +void dac_dual_software_trigger_generate(void) +{ + DAC->swtrg |= 0x03; +} + +/** + * @brief generate dac wave + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param dac_wave + * this parameter can be one of the following values: + * - DAC_WAVE_GENERATE_NONE + * - DAC_WAVE_GENERATE_NOISE + * - DAC_WAVE_GENERATE_TRIANGLE + * @retval none + */ +void dac_wave_generate(dac_select_type dac_select, dac_wave_type dac_wave) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1nm = dac_wave; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2nm = dac_wave; + break; + default: + break; + } +} + +/** + * @brief select dac mask amplitude + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param dac_mask_amplitude + * this parameter can be one of the following values: + * - DAC_LSFR_BIT0_AMPLITUDE_1 + * - DAC_LSFR_BIT10_AMPLITUDE_3 + * - DAC_LSFR_BIT20_AMPLITUDE_7 + * - DAC_LSFR_BIT30_AMPLITUDE_15 + * - DAC_LSFR_BIT40_AMPLITUDE_31 + * - DAC_LSFR_BIT50_AMPLITUDE_63 + * - DAC_LSFR_BIT60_AMPLITUDE_127 + * - DAC_LSFR_BIT70_AMPLITUDE_255 + * - DAC_LSFR_BIT80_AMPLITUDE_511 + * - DAC_LSFR_BIT90_AMPLITUDE_1023 + * - DAC_LSFR_BITA0_AMPLITUDE_2047 + * - DAC_LSFR_BITB0_AMPLITUDE_4095 + * @retval none + */ +void dac_mask_amplitude_select(dac_select_type dac_select, dac_mask_amplitude_type dac_mask_amplitude) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1nbsel = dac_mask_amplitude; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2nbsel = dac_mask_amplitude; + break; + default: + break; + } +} + +/** + * @brief enable or disable dac dma + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void dac_dma_enable(dac_select_type dac_select, confirm_state new_state) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1dmaen = new_state; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2dmaen = new_state; + break; + default: + break; + } +} + +/** + * @brief get dac data output + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @retval dac channel data output + */ +uint16_t dac_data_output_get(dac_select_type dac_select) +{ + uint16_t data_output =0; + switch(dac_select) + { + case DAC1_SELECT: + data_output = DAC->d1odt_bit.d1odt; + break; + case DAC2_SELECT: + data_output = DAC->d2odt_bit.d2odt; + break; + default: + break; + } + return data_output; +} + +/** + * @brief set dac1 data + * @param dac1_aligned + * this parameter can be one of the following values: + * DAC1_12BIT_RIGHT + * DAC1_12BIT_LEFT + * DAC1_8BIT_RIGHT + * @param dac1_data :indecate from selected data holding register + * @retval none + */ +void dac_1_data_set(dac1_aligned_data_type dac1_aligned, uint16_t dac1_data) +{ + *(__IO uint32_t *) dac1_aligned = dac1_data; +} + +/** + * @brief set dac2 data + * @param dac2_aligned + * this parameter can be one of the following values: + * DAC2_12BIT_RIGHT + * DAC2_12BIT_LEFT + * DAC2_8BIT_RIGHT + * @param dac2_data :indecate from selected data holding register + * @retval none + */ +void dac_2_data_set(dac2_aligned_data_type dac2_aligned, uint16_t dac2_data) +{ + *(__IO uint32_t *) dac2_aligned = dac2_data; +} + +/** + * @brief set dac dual data + * @param dac_dual + * this parameter can be one of the following values: + * DAC_DUAL_12BIT_RIGHT + * DAC_DUAL_12BIT_LEFT + * DAC_DUAL_8BIT_RIGHT + * @param data1 :dac1 channel indecate from selected data holding register + * @param data2 :dac1 channel indecate from selected data holding register + * @retval none + */ +void dac_dual_data_set(dac_dual_data_type dac_dual, uint16_t data1, uint16_t data2) +{ + switch(dac_dual) + { + case DAC_DUAL_12BIT_RIGHT: + *(__IO uint32_t *) dac_dual = (uint32_t)(data1 | (data2 << 16)); + break; + case DAC_DUAL_12BIT_LEFT: + *(__IO uint32_t *) dac_dual = (uint32_t)(data1 | (data2 << 16)); + break; + case DAC_DUAL_8BIT_RIGHT: + *(__IO uint32_t *) dac_dual = (uint32_t)(data1 | (data2 << 8)); + break; + default: + break; + } +} + +/** + * @brief enable/disable dac dma udr interrupt + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void dac_udr_enable(dac_select_type dac_select, confirm_state new_state) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->ctrl_bit.d1dmaudrien = new_state; + break; + case DAC2_SELECT: + DAC->ctrl_bit.d2dmaudrien = new_state; + break; + default: + break; + } +} + +/** + * @brief get flag of the dac udr flag. + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @retval the new state of dac udr flag status(SET or RESET). + */ +flag_status dac_udr_flag_get(dac_select_type dac_select) +{ + flag_status status = RESET; + + switch(dac_select) + { + case DAC1_SELECT: + if(DAC->sts_bit.d1dmaudrf != 0) + status = SET; + break; + case DAC2_SELECT: + if(DAC->sts_bit.d2dmaudrf != 0) + status = SET; + break; + default: + break; + } + return status; +} + +/** + * @brief get flag of the dac udr interrupt flag. + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @retval the new state of dac udr flag status(SET or RESET). + */ +flag_status dac_udr_interrupt_flag_get(dac_select_type dac_select) +{ + flag_status status = RESET; + + switch(dac_select) + { + case DAC1_SELECT: + if((DAC->sts_bit.d1dmaudrf && DAC->ctrl_bit.d1dmaudrien) != 0) + status = SET; + break; + case DAC2_SELECT: + if((DAC->sts_bit.d2dmaudrf && DAC->ctrl_bit.d2dmaudrien) != 0) + status = SET; + break; + default: + break; + } + return status; +} + +/** + * @brief clear the dac udr flag. + * @param dac_select + * this parameter can be one of the following values: + * - DAC1_SELECT + * - DAC2_SELECT + * @retval none + */ +void dac_udr_flag_clear(dac_select_type dac_select) +{ + switch(dac_select) + { + case DAC1_SELECT: + DAC->sts = DAC1_D1DMAUDRF; + break; + case DAC2_SELECT: + DAC->sts = DAC2_D2DMAUDRF; + break; + default: + break; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_debug.c b/Firmware/drivers/src/at32a423_debug.c new file mode 100644 index 0000000..1be1ca9 --- /dev/null +++ b/Firmware/drivers/src/at32a423_debug.c @@ -0,0 +1,132 @@ +/** + ************************************************************************** + * @file at32a423_mcudbg.c + * @brief contains all the functions for the mcudbg firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup DEBUG + * @brief DEBUG driver modules + * @{ + */ + +#ifdef DEBUG_MODULE_ENABLED + +/** @defgroup DEBUG_private_functions + * @{ + */ + +/** + * @brief get debug device id + * @param none + * @retval the debug device id + */ +uint32_t debug_device_id_get(void) +{ + return DEBUGMCU->pid; +} +/** + * @brief set periph debug mode + * @param periph_debug_mode + * this parameter can be one of the following values: + * - DEBUG_SLEEP + * - DEBUG_DEEPSLEEP + * - DEBUG_STANDBY + * @param new_state (TRUE or FALSE) + * @retval none + */ +void debug_low_power_mode_set(uint32_t low_power_mode, confirm_state new_state) +{ + if(new_state != FALSE) + { + DEBUGMCU->ctrl |= low_power_mode; + } + else + { + DEBUGMCU->ctrl &= ~low_power_mode; + } +} +/** + * @brief set apb1 periph debug mode + * @param periph_debug_mode + * this parameter can be any combination of the following values: + * - DEBUG_TMR2_PAUSE - DEBUG_TMR3_PAUSE + * - DEBUG_TMR6_PAUSE - DEBUG_TMR7_PAUSE + * - DEBUG_TMR12_PAUSE - DEBUG_TMR13_PAUSE + * - DEBUG_TMR14_PAUSE - DEBUG_ERTC_PAUSE + * - DEBUG_WWDT_PAUSE - DEBUG_WDT_PAUSE + * - DEBUG_ERTC_512_PAUSE - DEBUG_I2C1_SMBUS_TIMEOUT + * - DEBUG_I2C2_SMBUS_TIMEOUT - DEBUG_I2C3_SMBUS_TIMEOUT + * - DEBUG_CAN1_PAUSE - DEBUG_CAN2_PAUSE + * - DEBUG_TMR4_PAUSE + * @param new_state (TRUE or FALSE) + * @retval none + */ +void debug_apb1_periph_mode_set(uint32_t apb1_periph, confirm_state new_state) +{ + if(new_state != FALSE) + { + DEBUGMCU->apb1_frz |= apb1_periph; + } + else + { + DEBUGMCU->apb1_frz &= ~apb1_periph; + } +} +/** + * @brief set apb2 periph debug mode + * @param periph_debug_mode + * this parameter can be any combination of the following values: + * - DEBUG_TMR1_PAUSE - DEBUG_TMR9_PAUSE + * - DEBUG_TMR10_PAUSE - DEBUG_TMR11_PAUSE + * @param new_state (TRUE or FALSE) + * @retval none + */ +void debug_apb2_periph_mode_set(uint32_t apb2_periph, confirm_state new_state) +{ + if(new_state != FALSE) + { + DEBUGMCU->apb2_frz |= apb2_periph; + } + else + { + DEBUGMCU->apb2_frz &= ~apb2_periph; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_dma.c b/Firmware/drivers/src/at32a423_dma.c new file mode 100644 index 0000000..f0cbd48 --- /dev/null +++ b/Firmware/drivers/src/at32a423_dma.c @@ -0,0 +1,851 @@ +/** + ************************************************************************** + * @file at32a423_dma.c + * @brief contains all the functions for the dma firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup DMA + * @brief DMA driver modules + * @{ + */ + +#ifdef DMA_MODULE_ENABLED + +/** @defgroup DMA_private_functions + * @{ + */ + +/** + * @brief reset dmax channely register. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @retval none. + */ +void dma_reset(dma_channel_type *dmax_channely) +{ + uint32_t temp = 0; + dmax_channely->ctrl_bit.chen = FALSE; + dmax_channely->ctrl = 0; + dmax_channely->dtcnt = 0; + dmax_channely->paddr = 0; + dmax_channely->maddr = 0; + + temp = (uint32_t)dmax_channely; + + if((temp & 0x6FF) < 0x608) + { + /* dma1 channel */ + DMA1->clr |= (uint32_t)(0x0F << ((((temp & 0xFF) - 0x08) / 0x14) * 4)); + } + else if((temp & 0x6FF) < 0x688) + { + /* dma2 channel */ + DMA2->clr |= (uint32_t)(0x0F << ((((temp & 0xFF) - 0x08) / 0x14) * 4)); + } +} + +/** + * @brief set the number of data to be transferred. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @param data_number: the number of data to be transferred (0x0000~0xFFFF). + * @retval none. + */ +void dma_data_number_set(dma_channel_type *dmax_channely, uint16_t data_number) +{ + dmax_channely->dtcnt = data_number; +} + +/** + * @brief get the number of data to be transferred. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @retval the number value. + */ +uint16_t dma_data_number_get(dma_channel_type *dmax_channely) +{ + return (uint16_t)dmax_channely->dtcnt; +} + +/** + * @brief enable or disable dma interrupt. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @param dma_int: + * this parameter can be any combination of the following values: + * - DMA_FDT_INT + * - DMA_HDT_INT + * - DMA_DTERR_INT + * @param new_state (TRUE or FALSE) + * @retval none. + */ +void dma_interrupt_enable(dma_channel_type *dmax_channely, uint32_t dma_int, confirm_state new_state) +{ + if(new_state != FALSE) + { + dmax_channely->ctrl |= dma_int; + } + else + { + dmax_channely->ctrl &= ~dma_int; + } +} + +/** + * @brief enable or disable dma channel. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void dma_channel_enable(dma_channel_type *dmax_channely, confirm_state new_state) +{ + dmax_channely->ctrl_bit.chen = new_state; +} + +/** + * @brief dma interrupt flag get. + * @param dma_flag + * - DMA1_FDT1_FLAG - DMA1_HDT1_FLAG - DMA1_DTERR1_FLAG + * - DMA1_FDT2_FLAG - DMA1_HDT2_FLAG - DMA1_DTERR2_FLAG + * - DMA1_FDT3_FLAG - DMA1_HDT3_FLAG - DMA1_DTERR3_FLAG + * - DMA1_FDT4_FLAG - DMA1_HDT4_FLAG - DMA1_DTERR4_FLAG + * - DMA1_FDT5_FLAG - DMA1_HDT5_FLAG - DMA1_DTERR5_FLAG + * - DMA1_FDT6_FLAG - DMA1_HDT6_FLAG - DMA1_DTERR6_FLAG + * - DMA1_FDT7_FLAG - DMA1_HDT7_FLAG - DMA1_DTERR7_FLAG + * - DMA2_FDT1_FLAG - DMA2_HDT1_FLAG - DMA2_DTERR1_FLAG + * - DMA2_FDT2_FLAG - DMA2_HDT2_FLAG - DMA2_DTERR2_FLAG + * - DMA2_FDT3_FLAG - DMA2_HDT3_FLAG - DMA2_DTERR3_FLAG + * - DMA2_FDT4_FLAG - DMA2_HDT4_FLAG - DMA2_DTERR4_FLAG + * - DMA2_FDT5_FLAG - DMA2_HDT5_FLAG - DMA2_DTERR5_FLAG + * - DMA2_FDT6_FLAG - DMA2_HDT6_FLAG - DMA2_DTERR6_FLAG + * - DMA2_FDT7_FLAG - DMA2_HDT7_FLAG - DMA2_DTERR7_FLAG + * @retval state of dma flag. + */ +flag_status dma_interrupt_flag_get(uint32_t dmax_flag) +{ + uint32_t temp = 0; + + if(dmax_flag > 0x10000000) + { + temp = DMA2->sts; + } + else + { + temp = DMA1->sts; + } + + if((temp & dmax_flag) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief dma flag get. + * @param dma_flag + * - DMA1_GL1_FLAG - DMA1_FDT1_FLAG - DMA1_HDT1_FLAG - DMA1_DTERR1_FLAG + * - DMA1_GL2_FLAG - DMA1_FDT2_FLAG - DMA1_HDT2_FLAG - DMA1_DTERR2_FLAG + * - DMA1_GL3_FLAG - DMA1_FDT3_FLAG - DMA1_HDT3_FLAG - DMA1_DTERR3_FLAG + * - DMA1_GL4_FLAG - DMA1_FDT4_FLAG - DMA1_HDT4_FLAG - DMA1_DTERR4_FLAG + * - DMA1_GL5_FLAG - DMA1_FDT5_FLAG - DMA1_HDT5_FLAG - DMA1_DTERR5_FLAG + * - DMA1_GL6_FLAG - DMA1_FDT6_FLAG - DMA1_HDT6_FLAG - DMA1_DTERR6_FLAG + * - DMA1_GL7_FLAG - DMA1_FDT7_FLAG - DMA1_HDT7_FLAG - DMA1_DTERR7_FLAG + * - DMA2_GL1_FLAG - DMA2_FDT1_FLAG - DMA2_HDT1_FLAG - DMA2_DTERR1_FLAG + * - DMA2_GL2_FLAG - DMA2_FDT2_FLAG - DMA2_HDT2_FLAG - DMA2_DTERR2_FLAG + * - DMA2_GL3_FLAG - DMA2_FDT3_FLAG - DMA2_HDT3_FLAG - DMA2_DTERR3_FLAG + * - DMA2_GL4_FLAG - DMA2_FDT4_FLAG - DMA2_HDT4_FLAG - DMA2_DTERR4_FLAG + * - DMA2_GL5_FLAG - DMA2_FDT5_FLAG - DMA2_HDT5_FLAG - DMA2_DTERR5_FLAG + * - DMA2_GL6_FLAG - DMA2_FDT6_FLAG - DMA2_HDT6_FLAG - DMA2_DTERR6_FLAG + * - DMA2_GL7_FLAG - DMA2_FDT7_FLAG - DMA2_HDT7_FLAG - DMA2_DTERR7_FLAG + * @retval state of dma flag. + */ +flag_status dma_flag_get(uint32_t dmax_flag) +{ + uint32_t temp = 0; + + if(dmax_flag > 0x10000000) + { + temp = DMA2->sts; + } + else + { + temp = DMA1->sts; + } + + if((temp & dmax_flag) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief dma flag clear. + * @param dma_flag + * this parameter can be one of the following values: + * - DMA1_GL1_FLAG - DMA1_FDT1_FLAG - DMA1_HDT1_FLAG - DMA1_DTERR1_FLAG + * - DMA1_GL2_FLAG - DMA1_FDT2_FLAG - DMA1_HDT2_FLAG - DMA1_DTERR2_FLAG + * - DMA1_GL3_FLAG - DMA1_FDT3_FLAG - DMA1_HDT3_FLAG - DMA1_DTERR3_FLAG + * - DMA1_GL4_FLAG - DMA1_FDT4_FLAG - DMA1_HDT4_FLAG - DMA1_DTERR4_FLAG + * - DMA1_GL5_FLAG - DMA1_FDT5_FLAG - DMA1_HDT5_FLAG - DMA1_DTERR5_FLAG + * - DMA1_GL6_FLAG - DMA1_FDT6_FLAG - DMA1_HDT6_FLAG - DMA1_DTERR6_FLAG + * - DMA1_GL7_FLAG - DMA1_FDT7_FLAG - DMA1_HDT7_FLAG - DMA1_DTERR7_FLAG + * - DMA2_GL1_FLAG - DMA2_FDT1_FLAG - DMA2_HDT1_FLAG - DMA2_DTERR1_FLAG + * - DMA2_GL2_FLAG - DMA2_FDT2_FLAG - DMA2_HDT2_FLAG - DMA2_DTERR2_FLAG + * - DMA2_GL3_FLAG - DMA2_FDT3_FLAG - DMA2_HDT3_FLAG - DMA2_DTERR3_FLAG + * - DMA2_GL4_FLAG - DMA2_FDT4_FLAG - DMA2_HDT4_FLAG - DMA2_DTERR4_FLAG + * - DMA2_GL5_FLAG - DMA2_FDT5_FLAG - DMA2_HDT5_FLAG - DMA2_DTERR5_FLAG + * - DMA2_GL6_FLAG - DMA2_FDT6_FLAG - DMA2_HDT6_FLAG - DMA2_DTERR6_FLAG + * - DMA2_GL7_FLAG - DMA2_FDT7_FLAG - DMA2_HDT7_FLAG - DMA2_DTERR7_FLAG + * @retval none. + */ +void dma_flag_clear(uint32_t dmax_flag) +{ + if(dmax_flag > ((uint32_t)0x10000000)) + { + DMA2->clr = (uint32_t)(dmax_flag & 0x0FFFFFFF); + } + else + { + DMA1->clr = dmax_flag; + } +} + +/** + * @brief dma init config with its default value. + * @param dma_init_struct: pointer to a dma_init_type structure which will be initialized. + * @retval none. + */ +void dma_default_para_init(dma_init_type *dma_init_struct) +{ + dma_init_struct->peripheral_base_addr = 0; + dma_init_struct->memory_base_addr = 0; + dma_init_struct->direction = DMA_DIR_PERIPHERAL_TO_MEMORY; + dma_init_struct->buffer_size = 0; + dma_init_struct->peripheral_inc_enable = FALSE; + dma_init_struct->memory_inc_enable = FALSE; + dma_init_struct->peripheral_data_width = DMA_PERIPHERAL_DATA_WIDTH_BYTE; + dma_init_struct->memory_data_width = DMA_MEMORY_DATA_WIDTH_BYTE; + dma_init_struct->loop_mode_enable = FALSE; + dma_init_struct->priority = DMA_PRIORITY_LOW; +} + +/** + * @brief dma init. + * @param dmax_channely: + * this parameter can be one of the following values: + * - DMA1_CHANNEL1 + * - DMA1_CHANNEL2 + * - DMA1_CHANNEL3 + * - DMA1_CHANNEL4 + * - DMA1_CHANNEL5 + * - DMA1_CHANNEL6 + * - DMA1_CHANNEL7 + * - DMA2_CHANNEL1 + * - DMA2_CHANNEL2 + * - DMA2_CHANNEL3 + * - DMA2_CHANNEL4 + * - DMA2_CHANNEL5 + * - DMA2_CHANNEL6 + * - DMA2_CHANNEL7 + * @param dma_init_struct: pointer to a dma_init_type structure. + * @retval none. + */ +void dma_init(dma_channel_type *dmax_channely, dma_init_type *dma_init_struct) +{ + /* clear ctrl register dtd bit and m2m bit */ + dmax_channely->ctrl &= 0xbfef; + dmax_channely->ctrl |= dma_init_struct->direction; + + dmax_channely->ctrl_bit.chpl = dma_init_struct->priority; + dmax_channely->ctrl_bit.mwidth = dma_init_struct->memory_data_width; + dmax_channely->ctrl_bit.pwidth = dma_init_struct->peripheral_data_width; + dmax_channely->ctrl_bit.mincm = dma_init_struct->memory_inc_enable; + dmax_channely->ctrl_bit.pincm = dma_init_struct->peripheral_inc_enable; + dmax_channely->ctrl_bit.lm = dma_init_struct->loop_mode_enable; + dmax_channely->dtcnt_bit.cnt = dma_init_struct->buffer_size; + dmax_channely->paddr = dma_init_struct->peripheral_base_addr; + dmax_channely->maddr = dma_init_struct->memory_base_addr; +} +/** + * @brief dmamux init. + * @param dma_x: pointer to a dma_type structure, can be DMA1 or DMA2. + * @param dmamux_channelx: + * this parameter can be one of the following values: + * - DMA1MUX_CHANNEL1 + * - DMA1MUX_CHANNEL2 + * - DMA1MUX_CHANNEL3 + * - DMA1MUX_CHANNEL4 + * - DMA1MUX_CHANNEL5 + * - DMA1MUX_CHANNEL6 + * - DMA1MUX_CHANNEL7 + * - DMA2MUX_CHANNEL1 + * - DMA2MUX_CHANNEL2 + * - DMA2MUX_CHANNEL3 + * - DMA2MUX_CHANNEL4 + * - DMA2MUX_CHANNEL5 + * - DMA2MUX_CHANNEL6 + * - DMA2MUX_CHANNEL7 + * @param dmamux_req_sel: + * this parameter can be one of the following values: + * - DMAMUX_DMAREQ_ID_REQ_G1 - DMAMUX_DMAREQ_ID_REQ_G2 - DMAMUX_DMAREQ_ID_REQ_G3 - DMAMUX_DMAREQ_ID_REQ_G4 + * - DMAMUX_DMAREQ_ID_ADC1 - DMAMUX_DMAREQ_ID_DAC1 - DMAMUX_DMAREQ_ID_DAC2 - DMAMUX_DMAREQ_ID_TMR6_OVERFLOW + * - DMAMUX_DMAREQ_ID_TMR7_OVERFLOW - DMAMUX_DMAREQ_ID_SPI1_RX - DMAMUX_DMAREQ_ID_SPI1_TX - DMAMUX_DMAREQ_ID_SPI2_RX + * - DMAMUX_DMAREQ_ID_SPI2_TX - DMAMUX_DMAREQ_ID_SPI3_RX - DMAMUX_DMAREQ_ID_SPI3_TX - DMAMUX_DMAREQ_ID_I2C1_RX + * - DMAMUX_DMAREQ_ID_I2C1_TX - DMAMUX_DMAREQ_ID_I2C2_RX - DMAMUX_DMAREQ_ID_I2C2_TX - DMAMUX_DMAREQ_ID_I2C3_RX + * - DMAMUX_DMAREQ_ID_I2C3_TX - DMAMUX_DMAREQ_ID_USART1_RX - DMAMUX_DMAREQ_ID_USART1_TX - DMAMUX_DMAREQ_ID_USART2_RX + * - DMAMUX_DMAREQ_ID_USART2_TX - DMAMUX_DMAREQ_ID_USART3_RX - DMAMUX_DMAREQ_ID_USART3_TX - DMAMUX_DMAREQ_ID_USART4_RX + * - DMAMUX_DMAREQ_ID_USART4_TX - DMAMUX_DMAREQ_ID_USART5_RX - DMAMUX_DMAREQ_ID_USART5_TX - DMAMUX_DMAREQ_ID_USART6_RX + * - DMAMUX_DMAREQ_ID_USART6_TX - DMAMUX_DMAREQ_ID_USART7_RX - DMAMUX_DMAREQ_ID_USART7_TX - DMAMUX_DMAREQ_ID_USART8_RX + * - DMAMUX_DMAREQ_ID_USART8_TX - DMAMUX_DMAREQ_ID_TMR1_CH1 - DMAMUX_DMAREQ_ID_TMR1_CH2 - DMAMUX_DMAREQ_ID_TMR1_CH3 + * - DMAMUX_DMAREQ_ID_TMR1_CH4 - DMAMUX_DMAREQ_ID_TMR1_OVERFLOW - DMAMUX_DMAREQ_ID_TMR1_TRIG - DMAMUX_DMAREQ_ID_TMR1_HALL + * - DMAMUX_DMAREQ_ID_TMR2_CH1 - DMAMUX_DMAREQ_ID_TMR2_CH2 - DMAMUX_DMAREQ_ID_TMR2_CH3 - DMAMUX_DMAREQ_ID_TMR2_CH4 + * - DMAMUX_DMAREQ_ID_TMR2_OVERFLOW - DMAMUX_DMAREQ_ID_TMR2_TRIG - DMAMUX_DMAREQ_ID_TMR3_CH1 - DMAMUX_DMAREQ_ID_TMR3_CH2 + * - DMAMUX_DMAREQ_ID_TMR3_CH3 - DMAMUX_DMAREQ_ID_TMR3_CH4 - DMAMUX_DMAREQ_ID_TMR3_OVERFLOW - DMAMUX_DMAREQ_ID_TMR3_TRIG + * - DMAMUX_DMAREQ_ID_TMR4_CH1 - DMAMUX_DMAREQ_ID_TMR4_CH2 - DMAMUX_DMAREQ_ID_TMR4_CH3 - DMAMUX_DMAREQ_ID_TMR4_CH4 + * - DMAMUX_DMAREQ_ID_TMR4_OVERFLOW - DMAMUX_DMAREQ_ID_TMR4_TRIG - DMAMUX_DMAREQ_ID_TMR9_CH1 - DMAMUX_DMAREQ_ID_TMR9_CH2 + * - DMAMUX_DMAREQ_ID_TMR9_OVERFLOW - DMAMUX_DMAREQ_ID_TMR9_TRIG - DMAMUX_DMAREQ_ID_TMR9_HALL - DMAMUX_DMAREQ_ID_TMR10_CH1 + * - DMAMUX_DMAREQ_ID_TMR10_OVERFLOW- DMAMUX_DMAREQ_ID_TMR11_CH1 - DMAMUX_DMAREQ_ID_TMR11_OVERFLOW- DMAMUX_DMAREQ_ID_TMR12_CH1 + * - DMAMUX_DMAREQ_ID_TMR12_CH2 - DMAMUX_DMAREQ_ID_TMR12_OVERFLOW- DMAMUX_DMAREQ_ID_TMR12_TRIG - DMAMUX_DMAREQ_ID_TMR12_HALL + * - DMAMUX_DMAREQ_ID_TMR13_CH1 - DMAMUX_DMAREQ_ID_TMR13_OVERFLOW- DMAMUX_DMAREQ_ID_TMR14_CH1 - DMAMUX_DMAREQ_ID_TMR14_OVERFLOW + * @retval none. + */ +void dma_flexible_config(dma_type* dma_x, dmamux_channel_type *dmamux_channelx, dmamux_requst_id_sel_type dmamux_req_sel) +{ + dma_x->muxsel_bit.tblsel = TRUE; + dmamux_channelx->muxctrl_bit.reqsel = dmamux_req_sel; +} + +/** + * @brief enable or disable the dmamux. + * @param dma_x: pointer to a dma_type structure, can be DMA1 or DMA2. + * @param new_state (TRUE or FALSE) . + * @retval none. + */ +void dmamux_enable(dma_type *dma_x, confirm_state new_state) +{ + dma_x->muxsel_bit.tblsel = new_state; +} + +/** + * @brief dmamux init. + * @param dmamux_channelx: + * this parameter can be one of the following values: + * - DMA1MUX_CHANNEL1 + * - DMA1MUX_CHANNEL2 + * - DMA1MUX_CHANNEL3 + * - DMA1MUX_CHANNEL4 + * - DMA1MUX_CHANNEL5 + * - DMA1MUX_CHANNEL6 + * - DMA1MUX_CHANNEL7 + * - DMA2MUX_CHANNEL1 + * - DMA2MUX_CHANNEL2 + * - DMA2MUX_CHANNEL3 + * - DMA2MUX_CHANNEL4 + * - DMA2MUX_CHANNEL5 + * - DMA2MUX_CHANNEL6 + * - DMA2MUX_CHANNEL7 + * @param dmamux_req_sel: + * this parameter can be one of the following values: + * - DMAMUX_DMAREQ_ID_REQ_G1 - DMAMUX_DMAREQ_ID_REQ_G2 - DMAMUX_DMAREQ_ID_REQ_G3 - DMAMUX_DMAREQ_ID_REQ_G4 + * - DMAMUX_DMAREQ_ID_ADC1 - DMAMUX_DMAREQ_ID_DAC1 - DMAMUX_DMAREQ_ID_DAC2 - DMAMUX_DMAREQ_ID_TMR6_OVERFLOW + * - DMAMUX_DMAREQ_ID_TMR7_OVERFLOW - DMAMUX_DMAREQ_ID_SPI1_RX - DMAMUX_DMAREQ_ID_SPI1_TX - DMAMUX_DMAREQ_ID_SPI2_RX + * - DMAMUX_DMAREQ_ID_SPI2_TX - DMAMUX_DMAREQ_ID_SPI3_RX - DMAMUX_DMAREQ_ID_SPI3_TX - DMAMUX_DMAREQ_ID_I2C1_RX + * - DMAMUX_DMAREQ_ID_I2C1_TX - DMAMUX_DMAREQ_ID_I2C2_RX - DMAMUX_DMAREQ_ID_I2C2_TX - DMAMUX_DMAREQ_ID_I2C3_RX + * - DMAMUX_DMAREQ_ID_I2C3_TX - DMAMUX_DMAREQ_ID_USART1_RX - DMAMUX_DMAREQ_ID_USART1_TX - DMAMUX_DMAREQ_ID_USART2_RX + * - DMAMUX_DMAREQ_ID_USART2_TX - DMAMUX_DMAREQ_ID_USART3_RX - DMAMUX_DMAREQ_ID_USART3_TX - DMAMUX_DMAREQ_ID_USART4_RX + * - DMAMUX_DMAREQ_ID_USART4_TX - DMAMUX_DMAREQ_ID_USART5_RX - DMAMUX_DMAREQ_ID_USART5_TX - DMAMUX_DMAREQ_ID_USART6_RX + * - DMAMUX_DMAREQ_ID_USART6_TX - DMAMUX_DMAREQ_ID_USART7_RX - DMAMUX_DMAREQ_ID_USART7_TX - DMAMUX_DMAREQ_ID_USART8_RX + * - DMAMUX_DMAREQ_ID_USART8_TX - DMAMUX_DMAREQ_ID_TMR1_CH1 - DMAMUX_DMAREQ_ID_TMR1_CH2 - DMAMUX_DMAREQ_ID_TMR1_CH3 + * - DMAMUX_DMAREQ_ID_TMR1_CH4 - DMAMUX_DMAREQ_ID_TMR1_OVERFLOW - DMAMUX_DMAREQ_ID_TMR1_TRIG - DMAMUX_DMAREQ_ID_TMR1_HALL + * - DMAMUX_DMAREQ_ID_TMR2_CH1 - DMAMUX_DMAREQ_ID_TMR2_CH2 - DMAMUX_DMAREQ_ID_TMR2_CH3 - DMAMUX_DMAREQ_ID_TMR2_CH4 + * - DMAMUX_DMAREQ_ID_TMR2_OVERFLOW - DMAMUX_DMAREQ_ID_TMR2_TRIG - DMAMUX_DMAREQ_ID_TMR3_CH1 - DMAMUX_DMAREQ_ID_TMR3_CH2 + * - DMAMUX_DMAREQ_ID_TMR3_CH3 - DMAMUX_DMAREQ_ID_TMR3_CH4 - DMAMUX_DMAREQ_ID_TMR3_OVERFLOW - DMAMUX_DMAREQ_ID_TMR3_TRIG + * - DMAMUX_DMAREQ_ID_TMR4_CH1 - DMAMUX_DMAREQ_ID_TMR4_CH2 - DMAMUX_DMAREQ_ID_TMR4_CH3 - DMAMUX_DMAREQ_ID_TMR4_CH4 + * - DMAMUX_DMAREQ_ID_TMR4_OVERFLOW - DMAMUX_DMAREQ_ID_TMR4_TRIG - DMAMUX_DMAREQ_ID_TMR9_CH1 - DMAMUX_DMAREQ_ID_TMR9_CH2 + * - DMAMUX_DMAREQ_ID_TMR9_OVERFLOW - DMAMUX_DMAREQ_ID_TMR9_TRIG - DMAMUX_DMAREQ_ID_TMR9_HALL - DMAMUX_DMAREQ_ID_TMR10_CH1 + * - DMAMUX_DMAREQ_ID_TMR10_OVERFLOW- DMAMUX_DMAREQ_ID_TMR11_CH1 - DMAMUX_DMAREQ_ID_TMR11_OVERFLOW- DMAMUX_DMAREQ_ID_TMR12_CH1 + * - DMAMUX_DMAREQ_ID_TMR12_CH2 - DMAMUX_DMAREQ_ID_TMR12_OVERFLOW- DMAMUX_DMAREQ_ID_TMR12_TRIG - DMAMUX_DMAREQ_ID_TMR12_HALL + * - DMAMUX_DMAREQ_ID_TMR13_CH1 - DMAMUX_DMAREQ_ID_TMR13_OVERFLOW- DMAMUX_DMAREQ_ID_TMR14_CH1 - DMAMUX_DMAREQ_ID_TMR14_OVERFLOW + * @retval none. + */ +void dmamux_init(dmamux_channel_type *dmamux_channelx, dmamux_requst_id_sel_type dmamux_req_sel) +{ + dmamux_channelx->muxctrl_bit.reqsel = dmamux_req_sel; +} + +/** + * @brief dmamux sync init struct config with its default value. + * @param dmamux_sync_init_struct: pointer to a dmamux_sync_init_type structure which will be initialized. + * @retval none. + */ +void dmamux_sync_default_para_init(dmamux_sync_init_type *dmamux_sync_init_struct) +{ + dmamux_sync_init_struct->sync_enable = FALSE; + dmamux_sync_init_struct->sync_event_enable = FALSE; + dmamux_sync_init_struct->sync_polarity = DMAMUX_SYNC_POLARITY_DISABLE; + dmamux_sync_init_struct->sync_request_number = 0x0; + dmamux_sync_init_struct->sync_signal_sel = (dmamux_sync_id_sel_type)0; +} + +/** + * @brief dmamux synchronization config. + * @param dmamux_channelx: + * this parameter can be one of the following values: + * - DMA1MUX_CHANNEL1 + * - DMA1MUX_CHANNEL2 + * - DMA1MUX_CHANNEL3 + * - DMA1MUX_CHANNEL4 + * - DMA1MUX_CHANNEL5 + * - DMA1MUX_CHANNEL6 + * - DMA1MUX_CHANNEL7 + * - DMA2MUX_CHANNEL1 + * - DMA2MUX_CHANNEL2 + * - DMA2MUX_CHANNEL3 + * - DMA2MUX_CHANNEL4 + * - DMA2MUX_CHANNEL5 + * - DMA2MUX_CHANNEL6 + * - DMA2MUX_CHANNEL7 + * @param dmamux_sync_init_struct: ointer to a dmamux_sync_init_type structure. + * @retval none. + */ +void dmamux_sync_config(dmamux_channel_type *dmamux_channelx, dmamux_sync_init_type *dmamux_sync_init_struct) +{ + dmamux_channelx->muxctrl_bit.syncsel = dmamux_sync_init_struct->sync_signal_sel; + dmamux_channelx->muxctrl_bit.syncpol = dmamux_sync_init_struct->sync_polarity; + dmamux_channelx->muxctrl_bit.reqcnt = dmamux_sync_init_struct->sync_request_number - 1; + dmamux_channelx->muxctrl_bit.evtgen = dmamux_sync_init_struct->sync_event_enable; + dmamux_channelx->muxctrl_bit.syncen = dmamux_sync_init_struct->sync_enable; +} + +/** + * @brief dmamux request generator init struct config with its default value. + * @param dmamux_gen_init_struct: pointer to a dmamux_gen_init_type structure which will be initialized. + * @retval none. + */ +void dmamux_generator_default_para_init(dmamux_gen_init_type *dmamux_gen_init_struct) +{ + dmamux_gen_init_struct->gen_enable = FALSE; + dmamux_gen_init_struct->gen_polarity = DMAMUX_GEN_POLARITY_DISABLE; + dmamux_gen_init_struct->gen_request_number = 0x0; + dmamux_gen_init_struct->gen_signal_sel = (dmamux_gen_id_sel_type)0x0; +} + +/** + * @brief dmamux request generator init. + * @param dmamux_gen_x : + * this parameter can be one of the following values: + * - DMA1MUX_GENERATOR1 + * - DMA1MUX_GENERATOR2 + * - DMA1MUX_GENERATOR3 + * - DMA1MUX_GENERATOR4 + * - DMA2MUX_GENERATOR1 + * - DMA2MUX_GENERATOR2 + * - DMA2MUX_GENERATOR3 + * - DMA2MUX_GENERATOR4 + * @param dmamux_gen_init_struct: pointer to a dmamux_gen_init_type structure which will be initialized. + * @retval none. + */ +void dmamux_generator_config(dmamux_generator_type *dmamux_gen_x, dmamux_gen_init_type *dmamux_gen_init_struct) +{ + dmamux_gen_x->gctrl_bit.sigsel = dmamux_gen_init_struct->gen_signal_sel; + dmamux_gen_x->gctrl_bit.gpol = dmamux_gen_init_struct->gen_polarity; + dmamux_gen_x->gctrl_bit.greqcnt = dmamux_gen_init_struct->gen_request_number - 1; + dmamux_gen_x->gctrl_bit.gen = dmamux_gen_init_struct->gen_enable; +} + +/** + * @brief enable or disable the dmamux sync interrupts. + * @param dmamux_channelx: + * this parameter can be one of the following values: + * - DMA1MUX_CHANNEL1 + * - DMA1MUX_CHANNEL2 + * - DMA1MUX_CHANNEL3 + * - DMA1MUX_CHANNEL4 + * - DMA1MUX_CHANNEL5 + * - DMA1MUX_CHANNEL6 + * - DMA1MUX_CHANNEL7 + * - DMA2MUX_CHANNEL1 + * - DMA2MUX_CHANNEL2 + * - DMA2MUX_CHANNEL3 + * - DMA2MUX_CHANNEL4 + * - DMA2MUX_CHANNEL5 + * - DMA2MUX_CHANNEL6 + * - DMA2MUX_CHANNEL7 + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void dmamux_sync_interrupt_enable(dmamux_channel_type *dmamux_channelx, confirm_state new_state) +{ + if(new_state != FALSE) + { + dmamux_channelx->muxctrl_bit.syncovien = TRUE; + } + else + { + dmamux_channelx->muxctrl_bit.syncovien = FALSE; + } +} + +/** + * @brief enable or disable the dmamux request generator interrupts. + * @param dmamux_gen_x : pointer to a dmamux_generator_type structure. + * this parameter can be one of the following values: + * - DMA1MUX_GENERATOR1 + * - DMA1MUX_GENERATOR2 + * - DMA1MUX_GENERATOR3 + * - DMA1MUX_GENERATOR4 + * - DMA2MUX_GENERATOR1 + * - DMA2MUX_GENERATOR2 + * - DMA2MUX_GENERATOR3 + * - DMA2MUX_GENERATOR4 + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void dmamux_generator_interrupt_enable(dmamux_generator_type *dmamux_gen_x, confirm_state new_state) +{ + if(new_state != FALSE) + { + dmamux_gen_x->gctrl_bit.trgovien = TRUE; + } + else + { + dmamux_gen_x->gctrl_bit.trgovien = FALSE; + } +} + +/** + * @brief dmamux sync flag get. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_SYNC_OV1_FLAG + * - DMAMUX_SYNC_OV2_FLAG + * - DMAMUX_SYNC_OV3_FLAG + * - DMAMUX_SYNC_OV4_FLAG + * - DMAMUX_SYNC_OV5_FLAG + * - DMAMUX_SYNC_OV6_FLAG + * - DMAMUX_SYNC_OV7_FLAG + * @retval state of dmamux sync flag. + */ +flag_status dmamux_sync_flag_get(dma_type *dma_x, uint32_t flag) +{ + if((dma_x->muxsyncsts & flag) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief dmamux sync interrupt flag get. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_SYNC_OV1_FLAG + * - DMAMUX_SYNC_OV2_FLAG + * - DMAMUX_SYNC_OV3_FLAG + * - DMAMUX_SYNC_OV4_FLAG + * - DMAMUX_SYNC_OV5_FLAG + * - DMAMUX_SYNC_OV6_FLAG + * - DMAMUX_SYNC_OV7_FLAG + * @retval state of dmamux sync flag. + */ +flag_status dmamux_sync_interrupt_flag_get(dma_type *dma_x, uint32_t flag) +{ + + flag_status bitstatus = RESET; + uint32_t sync_int_temp = flag; + uint32_t index = 0; + uint32_t tmpreg = 0, enablestatus = 0; + uint32_t regoffset = 0x4; + + while((sync_int_temp & 0x00000001) == RESET) + { + sync_int_temp = sync_int_temp >> 1; + index++; + } + + if(dma_x == DMA1) + { + tmpreg = *(uint32_t*)(DMA1MUX_BASE + (index * regoffset)); + } + else + { + tmpreg = *(uint32_t*)(DMA2MUX_BASE + (index * regoffset)); + } + + if((tmpreg & (uint32_t)0x00000100) != (uint32_t)RESET) + { + enablestatus = SET; + } + else + { + enablestatus = RESET; + } + + if(dma_x == DMA1) + { + if(((DMA1->muxsyncsts & flag) != (uint32_t)RESET) && (enablestatus != RESET)) + { + bitstatus = SET; + } + else + { + bitstatus = RESET; + } + } + else + { + if(((DMA2->muxsyncsts & flag) != (uint32_t)RESET) && (enablestatus != RESET)) + { + bitstatus = SET; + } + else + { + bitstatus = RESET; + } + } + return bitstatus; +} + +/** + * @brief dmamux sync flag clear. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_SYNC_OV1_FLAG + * - DMAMUX_SYNC_OV2_FLAG + * - DMAMUX_SYNC_OV3_FLAG + * - DMAMUX_SYNC_OV4_FLAG + * - DMAMUX_SYNC_OV5_FLAG + * - DMAMUX_SYNC_OV6_FLAG + * - DMAMUX_SYNC_OV7_FLAG + * @retval none. + */ +void dmamux_sync_flag_clear(dma_type *dma_x, uint32_t flag) +{ + dma_x->muxsyncclr = flag; +} + +/** + * @brief dmamux request generator flag get. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_GEN_TRIG_OV1_FLAG + * - DMAMUX_GEN_TRIG_OV2_FLAG + * - DMAMUX_GEN_TRIG_OV3_FLAG + * - DMAMUX_GEN_TRIG_OV4_FLAG + * @retval state of dmamux sync flag. + */ +flag_status dmamux_generator_flag_get(dma_type *dma_x, uint32_t flag) +{ + if((dma_x->muxgsts & flag) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief dmamux request generator interrupt flag get. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_GEN_TRIG_OV1_FLAG + * - DMAMUX_GEN_TRIG_OV2_FLAG + * - DMAMUX_GEN_TRIG_OV3_FLAG + * - DMAMUX_GEN_TRIG_OV4_FLAG + * @retval state of dmamux sync flag. + */ +flag_status dmamux_generator_interrupt_flag_get(dma_type *dma_x, uint32_t flag) +{ + flag_status bitstatus = RESET; + uint32_t sync_int_temp = flag; + uint32_t index = 0; + uint32_t tmpreg = 0, enablestatus = 0; + uint32_t regoffset = 0x4; + + while((sync_int_temp & 0x00000001) == RESET) + { + sync_int_temp = sync_int_temp >> 1; + index++; + } + + if(dma_x == DMA1) + tmpreg = *(uint32_t*)(DMA1MUX_GENERATOR1_BASE + (index * regoffset)); + else + tmpreg = *(uint32_t*)(DMA2MUX_GENERATOR1_BASE + (index * regoffset)); + + if((tmpreg & (uint32_t)0x00000100) != (uint32_t)RESET) + { + enablestatus = SET; + } + else + { + enablestatus = RESET; + } + if(dma_x == DMA1) + { + if(((DMA1->muxgsts & flag) != (uint32_t)RESET) && (enablestatus != RESET)) + { + bitstatus = SET; + } + else + { + bitstatus = RESET; + } + } + else + { + if(((DMA2->muxgsts & flag) != (uint32_t)RESET) && (enablestatus != RESET)) + { + bitstatus = SET; + } + else + { + bitstatus = RESET; + } + } + + return bitstatus; +} + +/** + * @brief dmamux request generator flag clear. + * @param dma_x : pointer to a dma_type structure, can be DMA1 or DMA2. + * @param flag + * this parameter can be any combination of the following values: + * - DMAMUX_GEN_TRIG_OV1_FLAG + * - DMAMUX_GEN_TRIG_OV2_FLAG + * - DMAMUX_GEN_TRIG_OV3_FLAG + * - DMAMUX_GEN_TRIG_OV4_FLAG + * @retval none. + */ +void dmamux_generator_flag_clear(dma_type *dma_x, uint32_t flag) +{ + dma_x->muxgclr = flag; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_ertc.c b/Firmware/drivers/src/at32a423_ertc.c new file mode 100644 index 0000000..b6cfab6 --- /dev/null +++ b/Firmware/drivers/src/at32a423_ertc.c @@ -0,0 +1,1533 @@ +/** + ************************************************************************** + * @file at32a423_ertc.c + * @brief contains all the functions for the ertc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup ERTC + * @brief ERTC driver modules + * @{ + */ + +#ifdef ERTC_MODULE_ENABLED + +/** @defgroup ERTC_private_functions + * @{ + */ + +#define ERTC_TIMEOUT ((uint32_t) 0x00360000) + +/** + * @brief number conversion to bcd code. + * @param num: number(0~99) + * @retval bcd code. + */ +uint8_t ertc_num_to_bcd(uint8_t num) +{ + uint8_t bcd_h = 0, bcd_l = 0; + + bcd_h = num / 10; + bcd_l = num % 10; + + return ((uint8_t)(bcd_h << 4) | bcd_l); +} + +/** + * @brief bcd code conversion to number. + * @param bcd: bcd code(0~99). + * @retval number. + */ +uint8_t ertc_bcd_to_num(uint8_t bcd) +{ + return ((((uint8_t)(bcd & (uint8_t)0xF0) >> 4) * 10) + (bcd & (uint8_t)0x0F)); +} + +/** + * @brief enable write protection. + * @param none. + * @retval none + */ +void ertc_write_protect_enable(void) +{ + ERTC->wp = 0xFF; +} + +/** + * @brief disable write protection. + * @param none. + * @retval none + */ +void ertc_write_protect_disable(void) +{ + ERTC->wp = 0xCA; + ERTC->wp = 0x53; +} + +/** + * @brief ertc wait register update finish. + * @param none. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_wait_update(void) +{ + uint32_t timeout = ERTC_TIMEOUT * 2; + + /* clear updf flag */ + ERTC->sts = ~(ERTC_UPDF_FLAG | 0x00000080) | (ERTC->sts_bit.imen << 7); + + while(ERTC->sts_bit.updf == 0) + { + if(timeout == 0) + { + return ERROR; + } + + timeout--; + } + + return SUCCESS; +} + +/** + * @brief ertc wait flag status. + * @param flag: flag to wait. + * this parameter can be one of the following values: + * - ERTC_ALAWF_FLAG: alarm a register allows write flag. + * - ERTC_ALBWF_FLAG: alarm b register allows write flag. + * - ERTC_WATWF_FLAG: wakeup timer register allows write flag. + * - ERTC_TADJF_FLAG: time adjustment flag. + * - ERTC_CALUPDF_FLAG: calibration value update completed flag. + * @param status: status to wait. + * this parameter can be one of the following values: + * - SET. + * - RESET. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_wait_flag(uint32_t flag, flag_status status) +{ + uint32_t timeout = ERTC_TIMEOUT; + + while(ertc_flag_get(flag) == status) + { + if(timeout == 0) + { + /* enable write protection */ + ertc_write_protect_enable(); + + return ERROR; + } + + timeout--; + } + + return SUCCESS; +} + +/** + * @brief ertc enter init mode. + * @param none. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_init_mode_enter(void) +{ + uint32_t timeout = ERTC_TIMEOUT * 2; + + if(ERTC->sts_bit.imf == 0) + { + /* enter init mode */ + ERTC->sts = 0xFFFFFFFF; + + while(ERTC->sts_bit.imf == 0) + { + if(timeout == 0) + { + /* enable write protection */ + ertc_write_protect_enable(); + + return ERROR; + } + + timeout--; + } + } + + return SUCCESS; +} + +/** + * @brief ertc exit init mode. + * @param none. + * @retval none. + */ +void ertc_init_mode_exit(void) +{ + ERTC->sts = 0xFFFFFF7F; + + /* wait register update finish */ + ertc_wait_update(); +} + +/** + * @brief ertc reset all register. + * @param none. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_reset(void) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl = (uint32_t)0x00000000; + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + /* reset register */ + ERTC->time = (uint32_t)0x00000000; + ERTC->date = (uint32_t)0x00002101; + ERTC->ctrl = (uint32_t)0x00000000; + ERTC->div = (uint32_t)0x007F00FF; + ERTC->wat = (uint32_t)0x0000FFFF; + ERTC->ala = (uint32_t)0x00000000; + ERTC->alb = (uint32_t)0x00000000; + ERTC->tadj = (uint32_t)0x00000000; + ERTC->scal = (uint32_t)0x00000000; + ERTC->tamp = (uint32_t)0x00000000; + ERTC->alasbs = (uint32_t)0x00000000; + ERTC->albsbs = (uint32_t)0x00000000; + ERTC->sts = (uint32_t)0x00000000; + + /* wait calendar update */ + ertc_wait_update(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief ertc division set. + * @param div_a: division a (0~0x7F). + * @param div_b: division b (0~0x7FFF). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_divider_set(uint16_t div_a, uint16_t div_b) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + /* config the ertc divider */ + ERTC->div_bit.diva = div_a; + ERTC->div_bit.divb = div_b; + + /* exit init mode */ + ertc_init_mode_exit(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief ertc hour mode set. + * @param mode: hour mode. + * this parameter can be one of the following values: + * - ERTC_HOUR_MODE_24: 24-hour format. + * - ERTC_HOUR_MODE_12: 12-hour format. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_hour_mode_set(ertc_hour_mode_set_type mode) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + /* write register */ + ERTC->ctrl_bit.hm = mode; + + /* exit init mode */ + ertc_init_mode_exit(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief set date. + * @param year: year (0~99). + * @param month: month (1~12). + * @param date: date (1~31). + * @param week: week (1~7). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_date_set(uint8_t year, uint8_t month, uint8_t date, uint8_t week) +{ + ertc_reg_date_type reg; + + reg.date = 0; + + reg.date_bit.y = ertc_num_to_bcd(year); + reg.date_bit.m = ertc_num_to_bcd(month); + reg.date_bit.d = ertc_num_to_bcd(date); + reg.date_bit.wk = week; + + /* disable write protection */ + ertc_write_protect_disable(); + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + /* set the ertc_date register */ + ERTC->date = reg.date; + + /* exit init mode */ + ertc_init_mode_exit(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief set time. + * @param hour: hour (0~23). + * @param min: minute (0~59). + * @param sec: second (0~59). + * @param ampm: hour mode. + * this parameter can be one of the following values: + * - ERTC_24H: 24-hour format. + * - ERTC_AM: 12-hour format, ante meridiem. + * - ERTC_PM: 12-hour format, post meridiem. + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_time_set(uint8_t hour, uint8_t min, uint8_t sec, ertc_am_pm_type ampm) +{ + ertc_reg_time_type reg; + + reg.time = 0; + + reg.time_bit.h = ertc_num_to_bcd(hour); + reg.time_bit.m = ertc_num_to_bcd(min); + reg.time_bit.s = ertc_num_to_bcd(sec); + reg.time_bit.ampm = ampm; + + /* disable write protection */ + ertc_write_protect_disable(); + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + ERTC->time = reg.time; + + /* exit init mode */ + ertc_init_mode_exit(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief get calendar + * @param time: ertc time. + * @retval none. + */ +void ertc_calendar_get(ertc_time_type* time) +{ + ertc_reg_time_type reg_tm; + ertc_reg_date_type reg_dt; + + reg_tm.time = ERTC->time; + reg_dt.date = ERTC->date; + + time->hour = ertc_bcd_to_num(reg_tm.time_bit.h); + time->min = ertc_bcd_to_num(reg_tm.time_bit.m); + time->sec = ertc_bcd_to_num(reg_tm.time_bit.s); + time->ampm = (ertc_am_pm_type)reg_tm.time_bit.ampm; + + time->year = ertc_bcd_to_num(reg_dt.date_bit.y); + time->month = ertc_bcd_to_num(reg_dt.date_bit.m); + time->day = ertc_bcd_to_num(reg_dt.date_bit.d); + time->week = reg_dt.date_bit.wk; +} + +/** + * @brief get current sub second. + * @param none. + * @retval sub second. + */ +uint32_t ertc_sub_second_get(void) +{ + uint32_t reg = 0; + + reg = ERTC->sbs; + + (void) (ERTC->date); + + return (reg); +} + +/** + * @brief set which bits are irrelevant to the alarm match. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param mask: select which bits are irrelevant to the alarm match. + * this parameter can be one of the following values: + * - ERTC_ALARM_MASK_NONE: match all. + * - ERTC_ALARM_MASK_SEC: don't match seconds. + * - ERTC_ALARM_MASK_MIN: don't match minute. + * - ERTC_ALARM_MASK_HOUR: don't match hour. + * - ERTC_ALARM_MASK_DATE_WEEK: don't match date or week. + * - ERTC_ALARM_MASK_ALL: don't match all. + * @param alarm: alarm para. + * @retval none. + */ +void ertc_alarm_mask_set(ertc_alarm_type alarm_x, uint32_t mask) +{ + uint32_t reg; + + /* disable write protection */ + ertc_write_protect_disable(); + + if(alarm_x == ERTC_ALA) + { + reg = ERTC->ala; + + reg &= ~ERTC_ALARM_MASK_ALL; + reg |= mask; + + ERTC->ala= reg; + } + else + { + reg = ERTC->alb; + + reg &= ~ERTC_ALARM_MASK_ALL; + reg |= mask; + + ERTC->alb= reg; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief alarm week or date mode select. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param wk: week or date mode select. + * this parameter can be one of the following values: + * - ERTC_SLECT_DATE: slect date mode. + * - ERTC_SLECT_WEEK: slect week mode. + * @retval none. + */ +void ertc_alarm_week_date_select(ertc_alarm_type alarm_x, ertc_week_date_select_type wk) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(alarm_x == ERTC_ALA) + { + ERTC->ala_bit.wksel = wk; + } + else + { + ERTC->alb_bit.wksel = wk; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set alarm. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param week_day: week or date. + * - week: 1~7. + * - date: 1~31. + * @param hour: hour (0~23). + * @param min: minute (0~59). + * @param sec: second (0~59). + * @param ampm: hour mode. + * this parameter can be one of the following values: + * - ERTC_24H: 24-hour format. + * - ERTC_AM: 12-hour format, ante meridiem. + * - ERTC_PM: 12-hour format, post meridiem. + * @param alarm: alarm para. + * @retval none. + */ +void ertc_alarm_set(ertc_alarm_type alarm_x, uint8_t week_date, uint8_t hour, uint8_t min, uint8_t sec, ertc_am_pm_type ampm) +{ + ertc_reg_alarm_type reg; + + if(alarm_x == ERTC_ALA) + { + reg.ala = ERTC->ala; + } + else + { + reg.ala = ERTC->alb; + } + + reg.ala_bit.d = ertc_num_to_bcd(week_date); + reg.ala_bit.h = ertc_num_to_bcd(hour); + reg.ala_bit.m = ertc_num_to_bcd(min); + reg.ala_bit.s = ertc_num_to_bcd(sec); + reg.ala_bit.ampm = ampm; + + /* disable write protection */ + ertc_write_protect_disable(); + + if(alarm_x == ERTC_ALA) + { + ERTC->ala= reg.ala; + } + else + { + ERTC->alb = reg.ala; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set alarm sub second. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param value: sub second value. + * @param mask: sub second mask. + * this parameter can be one of the following values: + * - ERTC_ALARM_SBS_MASK_ALL: do not match the sub-second. + * - ERTC_ALARM_SBS_MASK_14_1: only compare bit [0]. + * - ERTC_ALARM_SBS_MASK_14_2: only compare bit [1:0]. + * - ERTC_ALARM_SBS_MASK_14_3: only compare bit [2:0]. + * - ERTC_ALARM_SBS_MASK_14_4: only compare bit [3:0]. + * - ERTC_ALARM_SBS_MASK_14_5: only compare bit [4:0]. + * - ERTC_ALARM_SBS_MASK_14_6: only compare bit [5:0]. + * - ERTC_ALARM_SBS_MASK_14_7: only compare bit [6:0]. + * - ERTC_ALARM_SBS_MASK_14_8: only compare bit [7:0]. + * - ERTC_ALARM_SBS_MASK_14_9: only compare bit [8:0]. + * - ERTC_ALARM_SBS_MASK_14_10: only compare bit [9:0]. + * - ERTC_ALARM_SBS_MASK_14_11: only compare bit [10:0]. + * - ERTC_ALARM_SBS_MASK_14_12: only compare bit [11:0]. + * - ERTC_ALARM_SBS_MASK_14_13: only compare bit [12:0]. + * - ERTC_ALARM_SBS_MASK_14: only compare bit [13:0]. + * - ERTC_ALARM_SBS_MASK_NONE: compare bit [14:0]. + * @retval none. + */ +void ertc_alarm_sub_second_set(ertc_alarm_type alarm_x, uint32_t value, ertc_alarm_sbs_mask_type mask) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(alarm_x == ERTC_ALA) + { + ERTC->alasbs_bit.sbsmsk = mask; + ERTC->alasbs_bit.sbs = value; + } + else + { + ERTC->albsbs_bit.sbsmsk = mask; + ERTC->albsbs_bit.sbs = value; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable alarm clock. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param new_state (TRUE or FALSE). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_alarm_enable(ertc_alarm_type alarm_x, confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(alarm_x == ERTC_ALA) + { + ERTC->ctrl_bit.alaen = new_state; + + if(new_state == FALSE) + { + if(ertc_wait_flag(ERTC_ALAWF_FLAG, RESET) != SUCCESS) + { + return ERROR; + } + } + } + else + { + ERTC->ctrl_bit.alben = new_state; + + if(new_state == FALSE) + { + if(ertc_wait_flag(ERTC_ALBWF_FLAG, RESET) != SUCCESS) + { + return ERROR; + } + } + } + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief get alarm value. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @param alarm: alarm para. + * @retval none. + */ +void ertc_alarm_get(ertc_alarm_type alarm_x, ertc_alarm_value_type* alarm) +{ + ertc_reg_alarm_type reg; + + reg.ala = 0; + + if(alarm_x == ERTC_ALA) + { + reg.ala = ERTC->ala; + } + else + { + reg.ala = ERTC->alb; + } + + alarm->day = ertc_bcd_to_num(reg.ala_bit.d); + alarm->week = ertc_bcd_to_num(reg.ala_bit.d); + alarm->hour = ertc_bcd_to_num(reg.ala_bit.h); + alarm->min = ertc_bcd_to_num(reg.ala_bit.m); + alarm->sec = ertc_bcd_to_num(reg.ala_bit.s); + alarm->ampm = (ertc_am_pm_type)reg.ala_bit.ampm; + alarm->week_date_sel = reg.ala_bit.wksel; + alarm->mask = reg.ala & ERTC_ALARM_MASK_ALL; +} + +/** + * @brief get alarm sub second. + * @param alarm_x: select the alarm. + * this parameter can be one of the following values: + * - ERTC_ALA: alarm a. + * - ERTC_ALB: alarm b. + * @retval sub second. + */ +uint32_t ertc_alarm_sub_second_get(ertc_alarm_type alarm_x) +{ + if(alarm_x == ERTC_ALA) + { + return (ERTC->alasbs_bit.sbs); + } + else + { + return (ERTC->albsbs_bit.sbs); + } +} + +/** + * @brief set wakeup timer clock. + * @param clock: wakeup timer clock source. + * this parameter can be one of the following values: + * - ERTC_WAT_CLK_ERTCCLK_DIV16: ERTC_CLK / 16. + * - ERTC_WAT_CLK_ERTCCLK_DIV8: ERTC_CLK / 8. + * - ERTC_WAT_CLK_ERTCCLK_DIV4: ERTC_CLK / 4. + * - ERTC_WAT_CLK_ERTCCLK_DIV2: ERTC_CLK / 2. + * - ERTC_WAT_CLK_CK_B_16BITS: CK_B, wakeup counter = ERTC_WAT + * - ERTC_WAT_CLK_CK_B_17BITS: CK_B, wakeup counter = ERTC_WAT + 65535. + * @retval none. + */ +void ertc_wakeup_clock_set(ertc_wakeup_clock_type clock) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.watclk = clock; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set wakeup counter. + * @param counter: wakeup counter(0~65535). + * @retval none. + */ +void ertc_wakeup_counter_set(uint32_t counter) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->wat_bit.val = counter; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief get wakeup counter. + * @param none. + * @retval wakeup counter. + */ +uint16_t ertc_wakeup_counter_get(void) +{ + return ERTC->wat_bit.val; +} + +/** + * @brief enable or disable wakeup timer. + * @param new_state (TRUE or FALSE). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_wakeup_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.waten = new_state; + + if(new_state == FALSE) + { + if(ertc_wait_flag(ERTC_WATWF_FLAG, RESET) != SUCCESS) + { + return ERROR; + } + } + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief config the smooth calibration. + * @param period: calibration period. + * this parameter can be one of the following values: + * - ERTC_SMOOTH_CAL_PERIOD_32: 32 second calibration period. + * - ERTC_SMOOTH_CAL_PERIOD_16: 16 second calibration period. + * - ERTC_SMOOTH_CAL_PERIOD_8: 8 second calibration period. + * @param clk_add: add clock. + * this parameter can be one of the following values: + * - ERTC_SMOOTH_CAL_CLK_ADD_0: do not increase clock. + * - ERTC_SMOOTH_CAL_CLK_ADD_512: add 512 clocks. + * @param clk_dec: decrease clock(0~511). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_smooth_calibration_config(ertc_smooth_cal_period_type period, ertc_smooth_cal_clk_add_type clk_add, uint32_t clk_dec) +{ + ertc_reg_scal_type reg; + + /* disable write protection */ + ertc_write_protect_disable(); + + if(ertc_wait_flag(ERTC_CALUPDF_FLAG, SET) != SUCCESS) + { + return ERROR; + } + + reg.scal = 0; + + switch (period) + { + case ERTC_SMOOTH_CAL_PERIOD_32: + break; + case ERTC_SMOOTH_CAL_PERIOD_16: + reg.scal_bit.cal16 = 1; + break; + case ERTC_SMOOTH_CAL_PERIOD_8: + reg.scal_bit.cal8 = 1; + break; + default: + break; + } + + reg.scal_bit.add = clk_add; + reg.scal_bit.dec = clk_dec; + + ERTC->scal = reg.scal; + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief calibration output source select. + * @param output: output source. + * this parameter can be one of the following values: + * - ERTC_CAL_OUTPUT_512HZ: output 512 hz. + * - ERTC_CAL_OUTPUT_1HZ: output 1 hz. + * @retval none. + */ +void ertc_cal_output_select(ertc_cal_output_select_type output) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.calosel = output; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable calibration output. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_cal_output_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.caloen = new_state; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief adjust the time. + * @param add1s: second operation. + * this parameter can be one of the following values: + * - ERTC_TIME_ADD_NONE: none operation. + * - ERTC_TIME_ADD_1S: add 1 second. + * @param decsbs: decrease sub second(0~0x7FFF). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_time_adjust(ertc_time_adjust_type add1s, uint32_t decsbs) +{ + ertc_reg_tadj_type reg; + + reg.tadj = 0; + + /* disable write protection */ + ertc_write_protect_disable(); + + if(ertc_wait_flag(ERTC_TADJF_FLAG, SET) != SUCCESS) + { + return ERROR; + } + + /* check if the reference clock detection is disabled */ + if(ERTC->ctrl_bit.rcden == 0) + { + reg.tadj_bit.add1s = add1s; + reg.tadj_bit.decsbs = decsbs; + + ERTC->tadj = reg.tadj; + + if(ertc_wait_update() == ERROR) + { + return ERROR; + } + } + else + { + return ERROR; + } + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief config the daylight saving time. + * @param operation: time adjust. + * this parameter can be one of the following values: + * - ERTC_DST_ADD_1H: add 1 hour. + * - ERTC_DST_DEC_1H: dec 1 hour. + * @param save: operation save. + * this parameter can be one of the following values: + * - ERTC_DST_SAVE_0: set the bpr register value to 0. + * - ERTC_DST_SAVE_1: set the bpr register value to 1. + * @retval none. + */ +void ertc_daylight_set(ertc_dst_operation_type operation, ertc_dst_save_type save) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(operation == ERTC_DST_ADD_1H) + { + ERTC->ctrl_bit.add1h = 1; + } + else + { + ERTC->ctrl_bit.dec1h = 1; + } + + ERTC->ctrl_bit.bpr = save; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief get the bpr value. + * @param none. + * @retval bpr value. + */ +uint8_t ertc_daylight_bpr_get(void) +{ + return ERTC->ctrl_bit.bpr; +} + +/** + * @brief enable or disable refer clock detect. + * @param new_state (TRUE or FALSE). + * @retval error_status (ERROR or SUCCESS). + */ +error_status ertc_refer_clock_detect_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + /* enter init mode */ + if(ertc_init_mode_enter() != SUCCESS) + { + return ERROR; + } + + /* write register */ + ERTC->ctrl_bit.rcden = new_state; + + /* exit init mode */ + ertc_init_mode_exit(); + + /* enable write protection */ + ertc_write_protect_enable(); + + return SUCCESS; +} + +/** + * @brief enable or disable direct read mode. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_direct_read_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.dren = new_state; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the output mode. + * @param source: output source. + * this parameter can be one of the following values: + * - ERTC_OUTPUT_DISABLE: diable output. + * - ERTC_OUTPUT_ALARM_A: output alarm a event. + * - ERTC_OUTPUT_ALARM_B: output alarm b event. + * - ERTC_OUTPUT_WAKEUP: output wakeup event. + * @param polarity: output polarity. + * this parameter can be one of the following values: + * - ERTC_OUTPUT_POLARITY_HIGH: when the event occurs, the output is high. + * - ERTC_OUTPUT_POLARITY_LOW: when the event occurs, the output is low. + * @param type: output type. + * this parameter can be one of the following values: + * - ERTC_OUTPUT_TYPE_OPEN_DRAIN: open drain output. + * - ERTC_OUTPUT_TYPE_PUSH_PULL: push pull output. + * @retval none. + */ +void ertc_output_set(ertc_output_source_type source, ertc_output_polarity_type polarity, ertc_output_type type) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.outp = polarity; + + ERTC->tamp_bit.outtype = type; + + ERTC->ctrl_bit.outsel = source; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief timestamp detection pin selection. + * @param pin: data register + * this parameter can be one of the following values: + * - ERTC_PIN_PC13: pc13 is used as timestamp detection pin. + * - ERTC_PIN_PA0: pa0 is used as timestamp detection pin. + * @retval data value. + */ +void ertc_timestamp_pin_select(ertc_pin_select_type pin) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tspin = pin; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the timestamp valid edge. + * @param edge: calibration period. + * this parameter can be one of the following values: + * - ERTC_TIMESTAMP_EDGE_RISING : rising edge trigger. + * - ERTC_TIMESTAMP_EDGE_FALLING: falling edge trigger. + * @retval none. + */ +void ertc_timestamp_valid_edge_set(ertc_timestamp_valid_edge_type edge) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.tsedg = edge; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable timestamp. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_timestamp_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->ctrl_bit.tsen = new_state; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief get the timestamp. + * @param time: time. + * @param date: date. + * @retval none. + */ +void ertc_timestamp_get(ertc_time_type* time) +{ + ertc_reg_tstm_type tmtime; + ertc_reg_tsdt_type tmdate; + + tmtime.tstm = ERTC->tstm; + tmdate.tsdt = ERTC->tsdt; + + time->year = 0; + time->month = ertc_bcd_to_num(tmdate.tsdt_bit.m); + time->day = ertc_bcd_to_num(tmdate.tsdt_bit.d); + time->week = ertc_bcd_to_num(tmdate.tsdt_bit.wk); + time->hour = ertc_bcd_to_num(tmtime.tstm_bit.h); + time->min = ertc_bcd_to_num(tmtime.tstm_bit.m); + time->sec = ertc_bcd_to_num(tmtime.tstm_bit.s); + time->ampm = (ertc_am_pm_type)tmtime.tstm_bit.ampm; +} + +/** + * @brief get the timestamp sub second. + * @param none. + * @retval timestamp sub second. + */ +uint32_t ertc_timestamp_sub_second_get(void) +{ + return ERTC->tssbs_bit.sbs; +} + +/** + * @brief tamper 1 detection pin selection. + * @param pin: data register + * this parameter can be one of the following values: + * - ERTC_PIN_PC13: pc13 is used as tamper 1 detection pin. + * - ERTC_PIN_PA0: pa0 is used as tamper 1 detection pin. + * @retval data value. + */ +void ertc_tamper_1_pin_select(ertc_pin_select_type pin) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tp1pin = pin; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable tamper pin pull up. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_tamper_pull_up_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tppu = !new_state; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the tamper pin pre-charge time. + * @param precharge: tamper detection pre-charge time + * this parameter can be one of the following values: + * - ERTC_TAMPER_PR_1_ERTCCLK: pre-charge time is 1 ERTC_CLK. + * - ERTC_TAMPER_PR_2_ERTCCLK: pre-charge time is 2 ERTC_CLK. + * - ERTC_TAMPER_PR_4_ERTCCLK: pre-charge time is 4 ERTC_CLK. + * - ERTC_TAMPER_PR_8_ERTCCLK: pre-charge time is 8 ERTC_CLK. + * @retval none. + */ +void ertc_tamper_precharge_set(ertc_tamper_precharge_type precharge) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tppr = precharge; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the tamper filter time. + * @param filter: tamper filter. + * this parameter can be one of the following values: + * - ERTC_TAMPER_FILTER_DISABLE: disable filter function. + * - ERTC_TAMPER_FILTER_2: 2 consecutive samples arw valid, effective tamper event. + * - ERTC_TAMPER_FILTER_4: 4 consecutive samples arw valid, effective tamper event. + * - ERTC_TAMPER_FILTER_8: 8 consecutive samples arw valid, effective tamper event. + * @retval none. + */ +void ertc_tamper_filter_set(ertc_tamper_filter_type filter) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tpflt = filter; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the tamper detection frequency. + * @param freq: tamper detection frequency. + * this parameter can be one of the following values: + * - ERTC_TAMPER_FREQ_DIV_32768: ERTC_CLK / 32768. + * - ERTC_TAMPER_FREQ_DIV_16384: ERTC_CLK / 16384. + * - ERTC_TAMPER_FREQ_DIV_8192: ERTC_CLK / 8192. + * - ERTC_TAMPER_FREQ_DIV_4096: ERTC_CLK / 4096. + * - ERTC_TAMPER_FREQ_DIV_2048: ERTC_CLK / 2048. + * - ERTC_TAMPER_FREQ_DIV_1024: ERTC_CLK / 1024. + * - ERTC_TAMPER_FREQ_DIV_512: ERTC_CLK / 512. + * - ERTC_TAMPER_FREQ_DIV_256: ERTC_CLK / 256. + * @retval none. + */ +void ertc_tamper_detect_freq_set(ertc_tamper_detect_freq_type freq) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tpfreq = freq; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief set the tamper trigger. + * @param tamper_x: select the tamper. + * this parameter can be one of the following values: + * - ERTC_TAMPER_1: tamper 1. + * - ERTC_TAMPER_2: tamper 2. + * @param trigger: tamper valid edge. + * this parameter can be one of the following values: + * - ERTC_TAMPER_EDGE_RISING: rising gedge. + * - ERTC_TAMPER_EDGE_FALLING: falling gedge. + * - ERTC_TAMPER_EDGE_LOW: low level. + * - ERTC_TAMPER_EDGE_HIGH: high level. + * @param alarm: alarm para. + * @retval none. + */ +void ertc_tamper_valid_edge_set(ertc_tamper_select_type tamper_x, ertc_tamper_valid_edge_type trigger) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(tamper_x == ERTC_TAMPER_1) + { + ERTC->tamp_bit.tp1edg = trigger; + } + else + { + ERTC->tamp_bit.tp2edg = trigger; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable trigger timestamp when tamper event occurs. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_tamper_timestamp_enable(confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + ERTC->tamp_bit.tptsen = new_state; + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable tamper. + * @param tamper_x: select the tamper. + * this parameter can be one of the following values: + * - ERTC_TAMPER_1: tamper 1. + * - ERTC_TAMPER_2: tamper 2. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_tamper_enable(ertc_tamper_select_type tamper_x, confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(tamper_x == ERTC_TAMPER_1) + { + ERTC->tamp_bit.tp1en = new_state; + } + else + { + ERTC->tamp_bit.tp2en = new_state; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief enable or disable interrupt. + * @param source: interrupts sources + * this parameter can be any combination of the following values: + * - ERTC_TP_INT: tamper interrupt. + * - ERTC_ALA_INT: alarm a interrupt. + * - ERTC_ALB_INT: alarm b interrupt. + * - ERTC_WAT_INT: wakeup timer interrupt. + * - ERTC_TS_INT: timestamp interrupt. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void ertc_interrupt_enable(uint32_t source, confirm_state new_state) +{ + /* disable write protection */ + ertc_write_protect_disable(); + + if(source & ERTC_TP_INT) + { + if(new_state != FALSE) + { + ERTC->tamp |= ERTC_TP_INT; + } + else + { + ERTC->tamp &= ~ERTC_TP_INT; + } + + source &= ~ERTC_TP_INT; + } + + if(new_state != FALSE) + { + ERTC->ctrl |= source; + } + else + { + ERTC->ctrl &= ~source; + } + + /* enable write protection */ + ertc_write_protect_enable(); +} + +/** + * @brief get interrupt status + * @param source + * this parameter can be one of the following values: + * - ERTC_TP_INT: tamper interrupt. + * - ERTC_ALA_INT: alarm a interrupt. + * - ERTC_ALB_INT: alarm b interrupt. + * - ERTC_WAT_INT: wakeup timer interrupt. + * - ERTC_TS_INT: timestamp interrupt. + * @retval flag_status (SET or RESET) + */ +flag_status ertc_interrupt_get(uint32_t source) +{ + if(source & ERTC_TP_INT) + { + if((ERTC->tamp & ERTC_TP_INT) != RESET) + { + return SET; + } + else + { + return RESET; + } + } + + if((ERTC->ctrl & source) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief get flag status. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - ERTC_ALAWF_FLAG: alarm a register allows write flag. + * - ERTC_ALBWF_FLAG: alarm b register allows write flag. + * - ERTC_WATWF_FLAG: wakeup timer register allows write flag. + * - ERTC_TADJF_FLAG: time adjustment flag. + * - ERTC_INITF_FLAG: calendar initialization flag. + * - ERTC_UPDF_FLAG: calendar update flag. + * - ERTC_IMF_FLAG: enter initialization mode flag. + * - ERTC_ALAF_FLAG: alarm clock a flag. + * - ERTC_ALBF_FLAG: alarm clock b flag. + * - ERTC_WATF_FLAG: wakeup timer flag. + * - ERTC_TSF_FLAG: timestamp flag. + * - ERTC_TSOF_FLAG: timestamp overflow flag. + * - ERTC_TP1F_FLAG: tamper detection 1 flag. + * - ERTC_TP2F_FLAG: tamper detection 2 flag. + * - ERTC_CALUPDF_FLAG: calibration value update completed flag. + * @retval the new state of flag (SET or RESET). + */ +flag_status ertc_flag_get(uint32_t flag) +{ + if((ERTC->sts & flag) != (uint32_t)RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief get interrupt flag status. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - ERTC_ALAF_FLAG: alarm clock a flag. + * - ERTC_ALBF_FLAG: alarm clock b flag. + * - ERTC_WATF_FLAG: wakeup timer flag. + * - ERTC_TSF_FLAG: timestamp flag. + * - ERTC_TP1F_FLAG: tamper detection 1 flag. + * - ERTC_TP2F_FLAG: tamper detection 2 flag. + * @retval the new state of flag (SET or RESET). + */ +flag_status ertc_interrupt_flag_get(uint32_t flag) +{ + __IO uint32_t iten = 0; + + switch(flag) + { + case ERTC_ALAF_FLAG: + iten = ERTC->ctrl_bit.alaien; + break; + case ERTC_ALBF_FLAG: + iten = ERTC->ctrl_bit.albien; + break; + case ERTC_WATF_FLAG: + iten = ERTC->ctrl_bit.watien; + break; + case ERTC_TSF_FLAG: + iten = ERTC->ctrl_bit.tsien; + break; + case ERTC_TP1F_FLAG: + case ERTC_TP2F_FLAG: + iten = ERTC->tamp_bit.tpien; + break; + + default: + break; + } + + if(((ERTC->sts & flag) != (uint32_t)RESET) && (iten)) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief clear flag status + * @param flag: specifies the flag to clear. + * this parameter can be any combination of the following values: + * - ERTC_ALAWF_FLAG: alarm a register allows write flag. + * - ERTC_ALBWF_FLAG: alarm b register allows write flag. + * - ERTC_WATWF_FLAG: wakeup timer register allows write flag. + * - ERTC_TADJF_FLAG: time adjustment flag. + * - ERTC_INITF_FLAG: calendar initialization flag. + * - ERTC_UPDF_FLAG: calendar update flag. + * - ERTC_IMF_FLAG: enter initialization mode flag. + * - ERTC_ALAF_FLAG: alarm clock a flag. + * - ERTC_ALBF_FLAG: alarm clock b flag. + * - ERTC_WATF_FLAG: wakeup timer flag. + * - ERTC_TSF_FLAG: timestamp flag. + * - ERTC_TSOF_FLAG: timestamp overflow flag. + * - ERTC_TP1F_FLAG: tamper detection 1 flag. + * - ERTC_TP2F_FLAG: tamper detection 2 flag. + * - ERTC_CALUPDF_FLAG: calibration value update completed flag. + * @retval none + */ +void ertc_flag_clear(uint32_t flag) +{ + ERTC->sts = ~(flag | 0x00000080) | (ERTC->sts_bit.imen << 7); +} + +/** + * @brief write data to the bpr register. + * @param dt: data register + * this parameter can be one of the following values: + * - ERTC_DT1 + * - ERTC_DT2 + * - ... + * - ERTC_DT19 + * - ERTC_DT20 + * @param data: data to be write. + * @retval none. + */ +void ertc_bpr_data_write(ertc_dt_type dt, uint32_t data) +{ + __IO uint32_t reg = 0; + + reg = ERTC_BASE + 0x50 + (dt * 4); + + *(__IO uint32_t *)reg = data; +} + +/** + * @brief read data from bpr register. + * @param dt: data register + * this parameter can be one of the following values: + * - ERTC_DT1 + * - ERTC_DT2 + * - ... + * - ERTC_DT19 + * - ERTC_DT20 + * @retval data value. + */ +uint32_t ertc_bpr_data_read(ertc_dt_type dt) +{ + __IO uint32_t reg = 0; + + reg = ERTC_BASE + 0x50 + (dt * 4); + + return (*(__IO uint32_t *)reg); +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_exint.c b/Firmware/drivers/src/at32a423_exint.c new file mode 100644 index 0000000..e6da3bc --- /dev/null +++ b/Firmware/drivers/src/at32a423_exint.c @@ -0,0 +1,293 @@ +/** + ************************************************************************** + * @file at32a423_exint.c + * @brief contains all the functions for the exint firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup EXINT + * @brief EXINT driver modules + * @{ + */ + +#ifdef EXINT_MODULE_ENABLED + +/** @defgroup EXINT_private_functions + * @{ + */ + +/** + * @brief exint reset + * @param none + * @retval none + */ +void exint_reset(void) +{ + EXINT->inten = 0x00000000; + EXINT->polcfg1 = 0x00000000; + EXINT->polcfg2 = 0x00000000; + EXINT->evten = 0x00000000; + EXINT->intsts = 0x1FFFFFFF; +} + +/** + * @brief exint default para init + * @param exint_struct + * - to the structure of exint_init_type + * @retval none + */ +void exint_default_para_init(exint_init_type *exint_struct) +{ + exint_struct->line_enable = FALSE; + exint_struct->line_select = EXINT_LINE_NONE; + exint_struct->line_polarity = EXINT_TRIGGER_FALLING_EDGE; + exint_struct->line_mode = EXINT_LINE_EVENT; +} + +/** + * @brief exint init + * @param exint_struct + * - to the structure of exint_init_type + * @retval none + */ +void exint_init(exint_init_type *exint_struct) +{ + uint32_t line_index = 0; + line_index = exint_struct->line_select; + + EXINT->inten &= ~line_index; + EXINT->evten &= ~line_index; + + if(exint_struct->line_enable != FALSE) + { + if(exint_struct->line_mode == EXINT_LINE_INTERRUPT) + { + EXINT->inten |= line_index; + } + else + { + EXINT->evten |= line_index; + } + + EXINT->polcfg1 &= ~line_index; + EXINT->polcfg2 &= ~line_index; + if(exint_struct->line_polarity == EXINT_TRIGGER_RISING_EDGE) + { + EXINT->polcfg1 |= line_index; + } + else if(exint_struct->line_polarity == EXINT_TRIGGER_FALLING_EDGE) + { + EXINT->polcfg2 |= line_index; + } + else + { + EXINT->polcfg1 |= line_index; + EXINT->polcfg2 |= line_index; + } + } +} + +/** + * @brief clear exint flag + * @param exint_line + * this parameter can be any combination of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @retval none + */ +void exint_flag_clear(uint32_t exint_line) +{ + EXINT->intsts = exint_line; +} + +/** + * @brief get exint flag + * @param exint_line + * this parameter can be one of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @retval the new state of exint flag(SET or RESET). + */ +flag_status exint_flag_get(uint32_t exint_line) +{ + flag_status status = RESET; + uint32_t exint_flag =0; + exint_flag = EXINT->intsts & exint_line; + if((exint_flag != (uint16_t)RESET)) + { + status = SET; + } + else + { + status = RESET; + } + return status; +} + +/** + * @brief get exint interrupt flag + * @param exint_line + * this parameter can be one of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @retval the new state of exint flag(SET or RESET). + */ +flag_status exint_interrupt_flag_get(uint32_t exint_line) +{ + flag_status status = RESET; + uint32_t exint_flag = 0; + exint_flag = EXINT->intsts & exint_line; + exint_flag = exint_flag & EXINT->inten; + + if((exint_flag != (uint16_t)RESET)) + { + status = SET; + } + else + { + status = RESET; + } + return status; +} + +/** + * @brief generate exint software interrupt event + * @param exint_line + * this parameter can be one of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @retval none + */ +void exint_software_interrupt_event_generate(uint32_t exint_line) +{ + EXINT->swtrg |= exint_line; +} + +/** + * @brief enable or disable exint interrupt + * @param exint_line + * this parameter can be any combination of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @param new_state: new state of exint interrupt. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void exint_interrupt_enable(uint32_t exint_line, confirm_state new_state) +{ + if(new_state == TRUE) + { + EXINT->inten |= exint_line; + } + else + { + EXINT->inten &= ~exint_line; + } +} + +/** + * @brief enable or disable exint event + * @param exint_line + * this parameter can be any combination of the following values: + * - EXINT_LINE_0 + * - EXINT_LINE_1 + * ... + * - EXINT_LINE_18 + * - EXINT_LINE_21 + * - EXINT_LINE_22 + * - EXINT_LINE_23 + * - EXINT_LINE_25 + * - EXINT_LINE_26 + * - EXINT_LINE_28 + * @param new_state: new state of exint event. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void exint_event_enable(uint32_t exint_line, confirm_state new_state) +{ + if(new_state == TRUE) + { + EXINT->evten |= exint_line; + } + else + { + EXINT->evten &= ~exint_line; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_flash.c b/Firmware/drivers/src/at32a423_flash.c new file mode 100644 index 0000000..fdd12bd --- /dev/null +++ b/Firmware/drivers/src/at32a423_flash.c @@ -0,0 +1,818 @@ +/** + ************************************************************************** + * @file at32a423_flash.c + * @brief contains all the functions for the flash firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup FLASH + * @brief FLASH driver modules + * @{ + */ + +#ifdef FLASH_MODULE_ENABLED + +/** @defgroup FLASH_private_functions + * @{ + */ + +/** + * @brief check whether the specified flash flag is set or not. + * @param flash_flag: specifies the flash flag to check. + * this parameter can be one of flash flag status: + * - FLASH_OBF_FLAG + * - FLASH_ODF_FLAG + * - FLASH_PRGMERR_FLAG + * - FLASH_EPPERR_FLAG + * - FLASH_USDERR_FLAG + * @retval the new state of flash_flag (SET or RESET). + */ +flag_status flash_flag_get(uint32_t flash_flag) +{ + flag_status status = RESET; + uint32_t flag_position; + flag_position = flash_flag & 0x70000000; + flash_flag &= 0x8FFFFFFF; + switch(flag_position) + { + case 0x00000000: + if(FLASH->sts & flash_flag) + status = SET; + break; + case 0x40000000: + if(FLASH->usd & flash_flag) + status = SET; + break; + default: + break; + } + /* return the new state of flash_flag (SET or RESET) */ + return status; +} + +/** + * @brief clear the flash flag. + * @param flash_flag: specifies the flash flags to clear. + * this parameter can be any combination of the following values: + * - FLASH_ODF_FLAG + * - FLASH_PRGMERR_FLAG + * - FLASH_EPPERR_FLAG + * @retval none + */ +void flash_flag_clear(uint32_t flash_flag) +{ + FLASH->sts = flash_flag; +} + +/** + * @brief return the flash operation status. + * @param none + * @retval status: the returned value can be: FLASH_OPERATE_BUSY, + * FLASH_PROGRAM_ERROR, FLASH_EPP_ERROR or FLASH_OPERATE_DONE. + */ +flash_status_type flash_operation_status_get(void) +{ + flash_status_type flash_status = FLASH_OPERATE_DONE; + if(FLASH->sts_bit.obf != RESET) + { + flash_status = FLASH_OPERATE_BUSY; + } + else if(FLASH->sts_bit.prgmerr != RESET) + { + flash_status = FLASH_PROGRAM_ERROR; + } + else if(FLASH->sts_bit.epperr != RESET) + { + flash_status = FLASH_EPP_ERROR; + } + else + { + flash_status = FLASH_OPERATE_DONE; + } + /* return the flash status */ + return flash_status; +} + +/** + * @brief wait for flash operation complete or timeout. + * @param time_out: flash operation timeout + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_operation_wait_for(uint32_t time_out) +{ + flash_status_type status = FLASH_OPERATE_DONE; + /* check for the flash status */ + status = flash_operation_status_get(); + + while((status == FLASH_OPERATE_BUSY) && (time_out != 0x00)) + { + status = flash_operation_status_get(); + time_out--; + } + if(time_out == 0x00) + { + status = FLASH_OPERATE_TIMEOUT; + } + /* return the status */ + return status; +} + +/** + * @brief unlock the flash controller. + * @param none + * @retval none + */ +void flash_unlock(void) +{ + FLASH->unlock = FLASH_UNLOCK_KEY1; + FLASH->unlock = FLASH_UNLOCK_KEY2; +} + +/** + * @brief lock the flash controller. + * @param none + * @retval none + */ +void flash_lock(void) +{ + FLASH->ctrl_bit.oplk = TRUE; +} + +/** + * @brief erase a specified flash sector. + * @param sector_address: the sector address to be erased. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_sector_erase(uint32_t sector_address) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + FLASH->ctrl_bit.secers = TRUE; + FLASH->addr = sector_address; + FLASH->ctrl_bit.erstr = TRUE; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the secers bit */ + FLASH->ctrl_bit.secers = FALSE; + + /* return the erase status */ + return status; +} + +/** + * @brief erase flash all internal sectors. + * @param none + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_internal_all_erase(void) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + FLASH->ctrl_bit.bankers = TRUE; + FLASH->ctrl_bit.erstr = TRUE; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the bankers bit */ + FLASH->ctrl_bit.bankers = FALSE; + + /* return the erase status */ + return status; +} + +/** + * @brief erase the flash user system data. + * @note this functions erases all user system data except the fap byte. + * when fap high level enabled, can't use this function. + * @param none + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_user_system_data_erase(void) +{ + flash_status_type status = FLASH_OPERATE_DONE; + uint16_t fap_val = FAP_RELIEVE_KEY; + /* get the flash access protection status */ + if(flash_fap_status_get() != RESET) + { + fap_val = 0x0000; + } + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + /* erase the user system data */ + FLASH->ctrl_bit.usders = TRUE; + FLASH->ctrl_bit.erstr = TRUE; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the usders bit */ + FLASH->ctrl_bit.usders = FALSE; + + if((status == FLASH_OPERATE_DONE) && (fap_val == FAP_RELIEVE_KEY)) + { + /* enable the user system data programming operation */ + FLASH->ctrl_bit.usdprgm = TRUE; + + /* restore the last flash access protection value */ + USD->fap = (uint16_t)fap_val; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /*disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + } + + /* return the erase status */ + return status; +} + +/** + * @brief program a word at a specified address. + * @param address: specifies the address to be programmed, word alignment is recommended. + * @param data: specifies the data to be programmed. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_word_program(uint32_t address, uint32_t data) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + FLASH->ctrl_bit.fprgm = TRUE; + *(__IO uint32_t*)address = data; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the fprgm bit */ + FLASH->ctrl_bit.fprgm = FALSE; + + /* return the program status */ + return status; +} + +/** + * @brief program a halfword at a specified address. + * @param address: specifies the address to be programmed, halfword alignment is recommended. + * @param data: specifies the data to be programmed. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_halfword_program(uint32_t address, uint16_t data) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + FLASH->ctrl_bit.fprgm = TRUE; + *(__IO uint16_t*)address = data; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the fprgm bit */ + FLASH->ctrl_bit.fprgm = FALSE; + + /* return the program status */ + return status; +} + +/** + * @brief program a byte at a specified address. + * @param address: specifies the address to be programmed. + * @param data: specifies the data to be programmed. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_byte_program(uint32_t address, uint8_t data) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + FLASH->ctrl_bit.fprgm = TRUE; + *(__IO uint8_t*)address = data; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the fprgm bit */ + FLASH->ctrl_bit.fprgm = FALSE; + + /* return the program status */ + return status; +} + +/** + * @brief program a halfword at a specified user system data address. + * @param address: specifies the address to be programmed. + * @param data: specifies the data to be programmed. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_user_system_data_program(uint32_t address, uint8_t data) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + /* enable the user system data programming operation */ + FLASH->ctrl_bit.usdprgm = TRUE; + *(__IO uint16_t*)address = data; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + + /* return the user system data program status */ + return status; +} + +/** + * @brief config erase/program protection for the desired sectors. + * @param sector_bits: + * the pointer of the address of the sectors to be erase/program protected. + * the first 16bits general every bit is used to protect the 4KB bytes. the + * bit 31 is used to protect the extension memory. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_epp_set(uint32_t *sector_bits) +{ + uint16_t epp_data[4] = {0xFFFF,0xFFFF,0xFFFF,0xFFFF}; + flash_status_type status = FLASH_OPERATE_DONE; + sector_bits[0] = (uint32_t)(~sector_bits[0]); + epp_data[0] = (uint16_t)((sector_bits[0] >> 0) & 0xFF); + epp_data[1] = (uint16_t)((sector_bits[0] >> 8) & 0xFF); + epp_data[2] = (uint16_t)((sector_bits[0] >> 16) & 0xFF); + epp_data[3] = (uint16_t)((sector_bits[0] >> 24) & 0xFF); + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + FLASH->ctrl_bit.usdprgm = TRUE; + USD->epp0 = epp_data[0]; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + if(status == FLASH_OPERATE_DONE) + { + USD->epp1 = epp_data[1]; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + } + if(status == FLASH_OPERATE_DONE) + { + USD->epp2 = epp_data[2]; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + } + if(status == FLASH_OPERATE_DONE) + { + USD->epp3 = epp_data[3]; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + } + /* disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + + /* return the erase/program protection operation status */ + return status; +} + +/** + * @brief return the flash erase/program protection status. + * @param sector_bits: pointer to get the epps register. + * @retval none + */ +void flash_epp_status_get(uint32_t *sector_bits) +{ + /* return the flash erase/program protection register value */ + sector_bits[0] = (uint32_t)(FLASH->epps); +} + +/** + * @brief enable or disable the flash access protection. + * @note if the user has already programmed the other user system data before calling + * this function, must re-program them since this function erase all user system data. + * @param new_state: new state of the flash access protection. + * this parameter can be: TRUE or FALSE. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_fap_enable(confirm_state new_state) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + FLASH->ctrl_bit.usders = TRUE; + FLASH->ctrl_bit.erstr = TRUE; + /* wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the usders bit */ + FLASH->ctrl_bit.usders = FALSE; + + if(status == FLASH_OPERATE_DONE) + { + if(new_state == FALSE) + { + /* enable the user system data programming operation */ + FLASH->ctrl_bit.usdprgm = TRUE; + USD->fap = FAP_RELIEVE_KEY; + + /* Wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + } + } + + /* return the flash access protection operation status */ + return status; +} + +/** + * @brief check the flash access protection status. + * @param none + * @retval flash access protection status(SET or RESET) + */ +flag_status flash_fap_status_get(void) +{ + return (flag_status)FLASH->usd_bit.fap; +} + +/** + * @brief enable or disable the flash access protection high level. + * @note if the user has already programmed the other user system data before calling + * this function, must re-program them since this function erase all user system data. + * @note once the fap high level enabled, the swd debugger port will be permanently disable!!! + * @param new_state: new state of the flash access protection high level. + * this parameter can be: TRUE or FALSE. + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_fap_high_level_enable(void) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + FLASH->ctrl_bit.usders = TRUE; + FLASH->ctrl_bit.erstr = TRUE; + /* wait for operation to be completed */ + status = flash_operation_wait_for(ERASE_TIMEOUT); + + /* disable the usders bit */ + FLASH->ctrl_bit.usders = FALSE; + + if(status == FLASH_OPERATE_DONE) + { + /* enable the user system data programming operation */ + FLASH->ctrl_bit.usdprgm = TRUE; + USD->fap = FAP_HIGH_LEVEL_KEY; + + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + } + + /* return the flash access protection operation status */ + return status; +} + +/** + * @brief check the flash access protection high level status. + * @param none + * @retval flash access protection high level status(SET or RESET) + */ +flag_status flash_fap_high_level_status_get(void) +{ + return (flag_status)FLASH->usd_bit.fap_hl; +} + +/** + * @brief program the flash system setting byte in usd: wdt_ato_en / depslp_rst / stdby_rst / boot1 / depslp_wdt / stdby_wdt. + * @param usd_ssb: the system setting byte + * @note this parameter usd_ssb must contain a combination of all the following 6 types of data + * type 1: wdt_ato_en, select the wdt auto start + * this data can be one of the following values: + * - USD_WDT_ATO_DISABLE: disable wdt auto start + * - USD_WDT_ATO_ENABLE: enable wdt auto start + * type 2: depslp_rst, reset event when entering deepsleep mode. + * this data can be one of the following values: + * - USD_DEPSLP_NO_RST: no reset generated when entering in deepsleep + * - USD_DEPSLP_RST: reset generated when entering in deepsleep + * type 3: stdby_rst, reset event when entering standby mode. + * this data can be one of the following values: + * - USD_STDBY_NO_RST: no reset generated when entering in standby + * - USD_STDBY_RST: reset generated when entering in standby + * type 4: boot1, at startup, when boot0 pin is high level, selected the device boot from bootmem/sram. + * this data can be one of the following values: + * - USD_BOOT1_LOW: when boot0 is high level, boot from bootmem + * - USD_BOOT1_HIGH: when boot0 is high level, boot from sram + * type 5: depslp_wdt, wdt stop count when entering deepsleep mode. + * this data can be one of the following values: + * - USD_DEPSLP_WDT_CONTINUE: wdt continue count when entering in deepsleep + * - USD_DEPSLP_WDT_STOP: wdt stop count when entering in deepsleep + * type 6: stdby_wdt, wdt stop count when entering standby mode. + * this data can be one of the following values: + * - USD_STDBY_WDT_CONTINUE: wdt continue count when entering in standby + * - USD_STDBY_WDT_STOP: wdt stop count when entering in standby + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_ssb_set(uint8_t usd_ssb) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + /* unlock the user system data */ + FLASH->usd_unlock = FLASH_UNLOCK_KEY1; + FLASH->usd_unlock = FLASH_UNLOCK_KEY2; + while(FLASH->ctrl_bit.usdulks==RESET); + + /* enable the user system data programming operation */ + FLASH->ctrl_bit.usdprgm = TRUE; + + USD->ssb = usd_ssb; + /* wait for operation to be completed */ + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + + /* disable the usdprgm bit */ + FLASH->ctrl_bit.usdprgm = FALSE; + + /* return the user system data program status */ + return status; +} + +/** + * @brief return the flash system setting byte status. + * @param none + * @retval values from flash_usd register: wdt_ato_en(bit0), depslp_rst(bit1), + * stdby_rst(bit2), boot1(bit4), depslp_wdt(bit5) and stdby_wdt(bit6). + */ +uint8_t flash_ssb_status_get(void) +{ + /* return the system setting byte status */ + return (uint8_t)(FLASH->usd >> 2); +} + +/** + * @brief enable or disable the specified flash interrupts. + * @param flash_int: specifies the flash interrupt sources to be enabled or disabled. + * this parameter can be any combination of the following values: + * - FLASH_ERR_INT + * - FLASH_ODF_INT + * @param new_state: new state of the specified flash interrupts. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void flash_interrupt_enable(uint32_t flash_int, confirm_state new_state) +{ + if(flash_int & FLASH_ERR_INT) + FLASH->ctrl_bit.errie = new_state; + if(flash_int & FLASH_ODF_INT) + FLASH->ctrl_bit.odfie = new_state; +} + +/** + * @brief enable main block security library function. + * @param pwd: slib password + * start_sector: security library start sector + * inst_start_sector: security library i-bus area start sector + * end_sector: security library end sector + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_slib_enable(uint32_t pwd, uint16_t start_sector, uint16_t inst_start_sector, uint16_t end_sector) +{ + uint32_t slib_range; + flash_status_type status = FLASH_OPERATE_DONE; + + /*check range param limits*/ + if((start_sector>inst_start_sector) || ((inst_start_sector > end_sector) && \ + (inst_start_sector != 0x7FF)) || (start_sector > end_sector)) + return FLASH_PROGRAM_ERROR; + + /* unlock slib cfg register */ + FLASH->slib_unlock = SLIB_UNLOCK_KEY; + while(FLASH->slib_misc_sts_bit.slib_ulkf==RESET); + + slib_range = ((uint32_t)(inst_start_sector << 11) & FLASH_SLIB_INST_START_SECTOR) | \ + ((uint32_t)(end_sector << 22) & FLASH_SLIB_END_SECTOR) | \ + (start_sector & FLASH_SLIB_START_SECTOR); + /* configure slib, set pwd and range */ + FLASH->slib_set_pwd = pwd; + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + if(status == FLASH_OPERATE_DONE) + { + FLASH->slib_set_range = slib_range; + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + } + + return status; +} + +/** + * @brief disable main block slib when slib enabled. + * @param pwd: slib password + * @retval success or error + */ +error_status flash_slib_disable(uint32_t pwd) +{ + flash_status_type status = FLASH_OPERATE_DONE; + /* write password to disable slib */ + FLASH->slib_pwd_clr = pwd; + + status = flash_operation_wait_for(ERASE_TIMEOUT); + if(status == FLASH_OPERATE_DONE) + { + if(FLASH->slib_misc_sts_bit.slib_pwd_ok) + return SUCCESS; + else + return ERROR; + } + return ERROR; +} + +/** + * @brief get the main block slib state. + * @param none + * @retval SET or RESET + */ +flag_status flash_slib_state_get(void) +{ + if(FLASH->slib_sts0_bit.slib_enf) + return SET; + else + return RESET; +} + +/** + * @brief get the main block start sector of slib. + * @param none + * @retval uint16_t + */ +uint16_t flash_slib_start_sector_get(void) +{ + return (uint16_t)FLASH->slib_sts1_bit.slib_ss; +} + +/** + * @brief get the main block inst start sector of slib. + * @param none + * @retval uint16_t + */ +uint16_t flash_slib_inststart_sector_get(void) +{ + return (uint16_t)FLASH->slib_sts1_bit.slib_inst_ss; +} + +/** + * @brief get the main block end sector of slib. + * @param none + * @retval uint16_t + */ +uint16_t flash_slib_end_sector_get(void) +{ + return (uint16_t)FLASH->slib_sts1_bit.slib_es; +} + +/** + * @brief flash crc calibration. + * @param start_addr: crc calibration start sector address + * sector_cnt: crc calibration sector count + * @retval uint32: crc calibration result + */ +uint32_t flash_crc_calibrate(uint32_t start_addr, uint32_t sector_cnt) +{ + FLASH->crc_addr = start_addr; + FLASH->crc_ctrl = sector_cnt | 0x10000; + flash_operation_wait_for(OPERATION_TIMEOUT); + return FLASH->crc_chkr; +} + +/** + * @brief enable boot memory as extension mode. + * @note this function is irreversible, can not disable!!! + * @param none + * @retval none. + */ +void flash_boot_memory_extension_mode_enable(void) +{ + if(FLASH->slib_sts0_bit.btm_ap_enf == RESET) + { + FLASH->slib_unlock = SLIB_UNLOCK_KEY; + while(FLASH->slib_misc_sts_bit.slib_ulkf==RESET); + FLASH->btm_mode_set = 0; + flash_operation_wait_for(OPERATION_TIMEOUT); + } +} + +/** + * @brief enable extension memory security library function. + * @param pwd: slib password + * inst_start_sector: extension memory security library i-bus area start sector, range 0~3 or 0xFF + * @retval status: the returned value can be: FLASH_PROGRAM_ERROR, + * FLASH_EPP_ERROR, FLASH_OPERATE_DONE or FLASH_OPERATE_TIMEOUT. + */ +flash_status_type flash_extension_memory_slib_enable(uint32_t pwd, uint16_t inst_start_sector) +{ + flash_status_type status = FLASH_OPERATE_DONE; + + /* unlock slib cfg register */ + FLASH->slib_unlock = SLIB_UNLOCK_KEY; + while(FLASH->slib_misc_sts_bit.slib_ulkf==RESET); + + /* configure slib, set pwd and range */ + FLASH->slib_set_pwd = pwd; + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + if(status == FLASH_OPERATE_DONE) + { + FLASH->em_slib_set = (uint32_t)(inst_start_sector << 16) + (uint32_t)0x5AA5; + status = flash_operation_wait_for(PROGRAMMING_TIMEOUT); + } + + return status; +} + +/** + * @brief get the extension memory slib state. + * @param none + * @retval SET or RESET + */ +flag_status flash_extension_memory_slib_state_get(void) +{ + if(FLASH->slib_sts0_bit.em_slib_enf) + return SET; + else + return RESET; +} + +/** + * @brief get the extension memory inst start sector of slib. + * @param none + * @retval uint16_t + */ +uint16_t flash_em_slib_inststart_sector_get(void) +{ + return (uint16_t)FLASH->slib_sts0_bit.em_slib_inst_ss; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_gpio.c b/Firmware/drivers/src/at32a423_gpio.c new file mode 100644 index 0000000..faa8c94 --- /dev/null +++ b/Firmware/drivers/src/at32a423_gpio.c @@ -0,0 +1,542 @@ +/** + ************************************************************************** + * @file at32a423_gpio.c + * @brief contains all the functions for the gpio firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup GPIO + * @brief GPIO driver modules + * @{ + */ + +#ifdef GPIO_MODULE_ENABLED + +/** @defgroup GPIO_private_functions + * @{ + */ + +/** + * @brief reset the gpio register + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @retval none + */ +void gpio_reset(gpio_type *gpio_x) +{ + if(gpio_x == GPIOA) + { + crm_periph_reset(CRM_GPIOA_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOA_PERIPH_RESET, FALSE); + } + else if(gpio_x == GPIOB) + { + crm_periph_reset(CRM_GPIOB_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOB_PERIPH_RESET, FALSE); + } + else if(gpio_x == GPIOC) + { + crm_periph_reset(CRM_GPIOC_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOC_PERIPH_RESET, FALSE); + } + else if(gpio_x == GPIOD) + { + crm_periph_reset(CRM_GPIOD_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOD_PERIPH_RESET, FALSE); + } + else if(gpio_x == GPIOE) + { + crm_periph_reset(CRM_GPIOE_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOE_PERIPH_RESET, FALSE); + } + else if(gpio_x == GPIOF) + { + crm_periph_reset(CRM_GPIOF_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_GPIOF_PERIPH_RESET, FALSE); + } +} + +/** + * @brief initialize the gpio peripheral. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param gpio_init_struct: pointer to gpio init structure. + * @retval none + */ +void gpio_init(gpio_type *gpio_x, gpio_init_type *gpio_init_struct) +{ + uint16_t pinx_value, pin_index = 0; + + pinx_value = (uint16_t)gpio_init_struct->gpio_pins; + + while(pinx_value > 0) + { + if(pinx_value & 0x01) + { + gpio_x->cfgr &= (uint32_t)~(0x03 << (pin_index * 2)); + gpio_x->cfgr |= (uint32_t)(gpio_init_struct->gpio_mode << (pin_index * 2)); + + gpio_x->omode &= (uint32_t)~(0x01 << (pin_index)); + gpio_x->omode |= (uint32_t)(gpio_init_struct->gpio_out_type << (pin_index)); + + gpio_x->odrvr &= (uint32_t)~(0x03 << (pin_index * 2)); + gpio_x->odrvr |= (uint32_t)(gpio_init_struct->gpio_drive_strength << (pin_index * 2)); + + gpio_x->pull &= (uint32_t)~(0x03 << (pin_index * 2)); + gpio_x->pull |= (uint32_t)(gpio_init_struct->gpio_pull << (pin_index * 2)); + } + pinx_value >>= 1; + pin_index++; + } +} + +/** + * @brief fill each gpio_init_type member with its default value. + * @param gpio_init_struct : pointer to a gpio_init_type structure which will be initialized. + * @retval none + */ +void gpio_default_para_init(gpio_init_type *gpio_init_struct) +{ + /* reset gpio init structure parameters values */ + gpio_init_struct->gpio_pins = GPIO_PINS_ALL; + gpio_init_struct->gpio_mode = GPIO_MODE_INPUT; + gpio_init_struct->gpio_out_type = GPIO_OUTPUT_PUSH_PULL; + gpio_init_struct->gpio_pull = GPIO_PULL_NONE; + gpio_init_struct->gpio_drive_strength = GPIO_DRIVE_STRENGTH_STRONGER; +} + +/** + * @brief read the specified input port pin. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * this parameter can be one of the following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * @retval flag_status (SET or RESET) + */ +flag_status gpio_input_data_bit_read(gpio_type *gpio_x, uint16_t pins) +{ + flag_status status = RESET; + + if(pins != (pins & gpio_x->idt)) + { + status = RESET; + } + else + { + status = SET; + } + + return status; +} + +/** + * @brief read the specified gpio input data port. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @retval gpio input data port value. + */ +uint16_t gpio_input_data_read(gpio_type *gpio_x) +{ + return ((uint16_t)(gpio_x->idt)); +} + +/** + * @brief read the specified output port pin. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * this parameter can be one of the following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * @retval flag_status (SET or RESET) + */ +flag_status gpio_output_data_bit_read(gpio_type *gpio_x, uint16_t pins) +{ + flag_status status = RESET; + + if((gpio_x->odt & pins) != RESET) + { + status = SET; + } + else + { + status = RESET; + } + + return status; +} + +/** + * @brief read the specified gpio ouput data port. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @retval gpio input data port value. + */ +uint16_t gpio_output_data_read(gpio_type *gpio_x) +{ + return ((uint16_t)(gpio_x->odt)); +} + +/** + * @brief set the selected data port bits. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * parameter can be any combination of gpio_pin_x, gpio_pin_x as following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @retval none + */ +void gpio_bits_set(gpio_type *gpio_x, uint16_t pins) +{ + gpio_x->scr = pins; +} + +/** + * @brief clear the selected data port bits. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * parameter can be any combination of gpio_pin_x, gpio_pin_x as following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @retval none + */ +void gpio_bits_reset(gpio_type *gpio_x, uint16_t pins) +{ + gpio_x->clr = pins; +} + +/** + * @brief toggle the selected data port bits. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * parameter can be any combination of gpio_pin_x, gpio_pin_x as following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @retval none + */ +void gpio_bits_toggle(gpio_type *gpio_x, uint16_t pins) +{ + gpio_x->togr = pins; +} + +/** + * @brief set or clear the selected data port bit. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * parameter can be any combination of gpio_pin_x, gpio_pin_x as following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @param bit_state: specifies the value to be written to the selected bit (TRUE or FALSE). + * @retval none + */ +void gpio_bits_write(gpio_type *gpio_x, uint16_t pins, confirm_state bit_state) +{ + if(bit_state != FALSE) + { + gpio_x->scr = pins; + } + else + { + gpio_x->clr = pins; + } +} + +/** + * @brief write data to the specified gpio data port. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param port_value: specifies the value to be written to the port output data register. + * @retval none + */ +void gpio_port_write(gpio_type *gpio_x, uint16_t port_value) +{ + gpio_x->odt = port_value; +} + +/** + * @brief write protect gpio pins configuration registers. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * this parameter can be any combination of the following: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @retval none + */ +void gpio_pin_wp_config(gpio_type *gpio_x, uint16_t pins) +{ + uint32_t temp = 0x00010000; + + temp |= pins; + /* set wpen bit */ + gpio_x->wpr = temp; + /* reset wpen bit */ + gpio_x->wpr = pins; + /* set wpen bit */ + gpio_x->wpr = temp; + /* read wpen bit*/ + temp = gpio_x->wpr; + /* read wpen bit*/ + temp = gpio_x->wpr; +} + +/** + * @brief enable or disable gpio pins huge driven. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param pins: gpio pin number + * parameter can be any combination of gpio_pin_x, gpio_pin_x as following values: + * - GPIO_PINS_0 + * - GPIO_PINS_1 + * - GPIO_PINS_2 + * - GPIO_PINS_3 + * - GPIO_PINS_4 + * - GPIO_PINS_5 + * - GPIO_PINS_6 + * - GPIO_PINS_7 + * - GPIO_PINS_8 + * - GPIO_PINS_9 + * - GPIO_PINS_10 + * - GPIO_PINS_11 + * - GPIO_PINS_12 + * - GPIO_PINS_13 + * - GPIO_PINS_14 + * - GPIO_PINS_15 + * - GPIO_PINS_ALL + * @param new_state: new state of the slew rate. + * this parameter can be: true or false. + * @retval none + */ +void gpio_pins_huge_driven_config(gpio_type *gpio_x, uint16_t pins, confirm_state new_state) +{ + if(new_state != FALSE) + { + gpio_x->hdrv |= pins; + } + else + { + gpio_x->hdrv &= ~pins; + } +} + +/** + * @brief configure the pin's muxing function. + * @param gpio_x: to select the gpio peripheral. + * this parameter can be one of the following values: + * GPIOA, GPIOB, GPIOC, GPIOD, GPIOE, GPIOF. + * @param gpio_pin_source: specifies the pin for the muxing function. + * this parameter can be one of the following values: + * - GPIO_PINS_SOURCE0 + * - GPIO_PINS_SOURCE1 + * - GPIO_PINS_SOURCE2 + * - GPIO_PINS_SOURCE3 + * - GPIO_PINS_SOURCE4 + * - GPIO_PINS_SOURCE5 + * - GPIO_PINS_SOURCE6 + * - GPIO_PINS_SOURCE7 + * - GPIO_PINS_SOURCE8 + * - GPIO_PINS_SOURCE9 + * - GPIO_PINS_SOURCE10 + * - GPIO_PINS_SOURCE11 + * - GPIO_PINS_SOURCE12 + * - GPIO_PINS_SOURCE13 + * - GPIO_PINS_SOURCE14 + * - GPIO_PINS_SOURCE15 + * @param gpio_mux: select the pin to used as muxing function. + * this parameter can be one of the following values: + * - GPIO_MUX_0 + * - GPIO_MUX_1 + * - GPIO_MUX_2 + * - GPIO_MUX_3 + * - GPIO_MUX_4 + * - GPIO_MUX_5 + * - GPIO_MUX_6 + * - GPIO_MUX_7 + * - GPIO_MUX_8 + * - GPIO_MUX_9 + * - GPIO_MUX_10 + * - GPIO_MUX_11 + * - GPIO_MUX_12 + * - GPIO_MUX_13 + * - GPIO_MUX_14 + * - GPIO_MUX_15 + * @retval none + */ +void gpio_pin_mux_config(gpio_type *gpio_x, gpio_pins_source_type gpio_pin_source, gpio_mux_sel_type gpio_mux) +{ + uint32_t temp = 0x00; + uint32_t temp_2 = 0x00; + + temp = ((uint32_t)(gpio_mux) << ((uint32_t)((uint32_t)gpio_pin_source & (uint32_t)0x07) * 4)); + if(gpio_pin_source >> 0x03) + { + gpio_x->muxh &= ~((uint32_t)0xF << ((uint32_t)((uint32_t)gpio_pin_source & (uint32_t)0x07) * 4)); + temp_2 = gpio_x->muxh | temp; + gpio_x->muxh = temp_2; + } + else + { + gpio_x->muxl &= ~((uint32_t)0xF << ((uint32_t)((uint32_t)gpio_pin_source & (uint32_t)0x07) * 4)); + temp_2 = gpio_x->muxl | temp; + gpio_x->muxl = temp_2; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_i2c.c b/Firmware/drivers/src/at32a423_i2c.c new file mode 100644 index 0000000..cd3f9d4 --- /dev/null +++ b/Firmware/drivers/src/at32a423_i2c.c @@ -0,0 +1,843 @@ +/** + ************************************************************************** + * @file at32a423_i2c.c + * @brief contains all the functions for the i2c firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup I2C + * @brief I2C driver modules + * @{ + */ + +#ifdef I2C_MODULE_ENABLED + +/** @defgroup I2C_private_functions + * @{ + */ + +/** + * @brief reset the i2c register + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval none + */ +void i2c_reset(i2c_type *i2c_x) +{ + if(i2c_x == I2C1) + { + crm_periph_reset(CRM_I2C1_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_I2C1_PERIPH_RESET, FALSE); + } + else if(i2c_x == I2C2) + { + crm_periph_reset(CRM_I2C2_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_I2C2_PERIPH_RESET, FALSE); + } + else if(i2c_x == I2C3) + { + crm_periph_reset(CRM_I2C3_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_I2C3_PERIPH_RESET, FALSE); + } +} + +/** + * @brief init i2c digit filters and clock control register. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param dfilters: number of digit filters (0x00~0x0F). + * @param clk: i2c clock control register (0x00000000~0xFFFFFFFF). + * @retval none + */ +void i2c_init(i2c_type *i2c_x, uint8_t dfilters, uint32_t clk) +{ + /* disable i2c peripheral */ + i2c_x->ctrl1_bit.i2cen = FALSE; + + /* write clkctrl register*/ + i2c_x->clkctrl = clk; + + /* write digital filter register*/ + i2c_x->ctrl1_bit.dflt = dfilters; +} + +/** + * @brief config i2c own address 1. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param mode: i2c address mode. + * this parameter can be one of the following values: + * - I2C_ADDRESS_MODE_7BIT: 7bit address. + * - I2C_ADDRESS_MODE_10BIT: 10bit address. + * @param address: own address 1, such as 0xB0. + * @retval none + */ +void i2c_own_address1_set(i2c_type *i2c_x, i2c_address_mode_type mode, uint16_t address) +{ + /* config address mode */ + i2c_x->oaddr1_bit.addr1mode = mode; + + /* config address */ + i2c_x->oaddr1_bit.addr1 = address & 0x03FF; + + /* enable address */ + i2c_x->oaddr1_bit.addr1en = TRUE; +} + +/** + * @brief config i2c own address 2 and mask. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param address: own address 1, such as 0xC0. + * @param mask: own address 2 mask. + * this parameter can be one of the following values: + * - I2C_ADDR2_NOMASK: compare bit [7:1]. + * - I2C_ADDR2_MASK01: only compare bit [7:2]. + * - I2C_ADDR2_MASK02: only compare bit [7:3]. + * - I2C_ADDR2_MASK03: only compare bit [7:4]. + * - I2C_ADDR2_MASK04: only compare bit [7:5]. + * - I2C_ADDR2_MASK05: only compare bit [7:6]. + * - I2C_ADDR2_MASK06: only compare bit [7]. + * - I2C_ADDR2_MASK07: response all addresses other than those reserved for i2c. + * @retval none + */ +void i2c_own_address2_set(i2c_type *i2c_x, uint8_t address, i2c_addr2_mask_type mask) +{ + i2c_x->oaddr2_bit.addr2mask = mask; + + i2c_x->oaddr2_bit.addr2 = (address >> 1) & 0x7F; +} + +/** + * @brief enable or disable own address 2. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_own_address2_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->oaddr2_bit.addr2en = new_state; +} + +/** + * @brief enable or disable smbus mode. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param mode: smbus device mode. + * this parameter can be one of the following values: + * - I2C_SMBUS_MODE_DEVICE: smbus device. + * - I2C_SMBUS_MODE_HOST: smbus host. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_smbus_enable(i2c_type *i2c_x, i2c_smbus_mode_type mode, confirm_state new_state) +{ + switch (mode) + { + case I2C_SMBUS_MODE_DEVICE: + i2c_x->ctrl1_bit.devaddren = new_state; + break; + case I2C_SMBUS_MODE_HOST: + i2c_x->ctrl1_bit.haddren = new_state; + break; + default: + break; + } +} + +/** + * @brief enable or disable peripheral. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.i2cen = new_state; +} + +/** + * @brief enable or disable clock stretch. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_clock_stretch_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.stretch = (!new_state); +} + +/** + * @brief enable or disable ack. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none. + */ +void i2c_ack_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.nacken = (!new_state); +} + +/** + * @brief enable or disable 10-bit address mode (master transfer). + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_addr10_mode_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.addr10 = new_state; +} + +/** + * @brief config the slave address to be transmitted. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param address: slave address. + * @retval none + */ +void i2c_transfer_addr_set(i2c_type *i2c_x, uint16_t address) +{ + i2c_x->ctrl2_bit.saddr = address & 0x03FF; +} + +/** + * @brief get the slave address to be transmitted. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval slave address + */ +uint16_t i2c_transfer_addr_get(i2c_type *i2c_x) +{ + return i2c_x->ctrl2_bit.saddr; +} + +/** + * @brief config the master transfer direction. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param i2c_direction: transfer request direction. + * this parameter can be one of the following values: + * - I2C_DIR_TRANSMIT: master request a write transfer. + * - I2C_DIR_RECEIVE: master request a read transfer. + * @retval none + */ +void i2c_transfer_dir_set(i2c_type *i2c_x, i2c_transfer_dir_type i2c_direction) +{ + i2c_x->ctrl2_bit.dir = i2c_direction; +} + +/** + * @brief slave get the i2c transfer direction. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval the value of the slave direction + * - I2C_DIR_TRANSMIT: master request a write transfer, slave enters receiver mode. + * - I2C_DIR_RECEIVE: master request a read transfer, slave enters transmitter mode. + */ +i2c_transfer_dir_type i2c_transfer_dir_get(i2c_type *i2c_x) +{ + if (i2c_x->sts_bit.sdir == 0) + { + return I2C_DIR_TRANSMIT; + } + else + { + return I2C_DIR_RECEIVE; + } +} + +/** + * @brief get the i2c slave matched address. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval slave matched address. + */ +uint8_t i2c_matched_addr_get(i2c_type *i2c_x) +{ + return (i2c_x->sts_bit.addr << 1); +} + +/** + * @brief enable or disable auto send stop mode. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_auto_stop_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.astopen = new_state; +} + +/** + * @brief enable or disable cnt reload mode. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_reload_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.rlden = new_state; +} + +/** + * @brief config the transfer cnt . + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param cnt: transfer cnt. + * @retval none + */ +void i2c_cnt_set(i2c_type *i2c_x, uint8_t cnt) +{ + i2c_x->ctrl2_bit.cnt = cnt; +} + +/** + * @brief enable or disable read 10-bit header, this mode + * only used in 10-bit address mode read. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_addr10_header_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.readh10 = new_state; +} + +/** + * @brief enable or disable general call mode. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_general_call_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.gcaen = new_state; +} + +/** + * @brief drives the smbus alert pin high or low. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param level + * this parameter can be one of the following values: + * - I2C_SMBUS_ALERT_LOW: smbus alert set low. + * - I2C_SMBUS_ALERT_HIGH: smbus alert set high. + * @retval none + */ +void i2c_smbus_alert_set(i2c_type *i2c_x, i2c_smbus_alert_set_type level) +{ + i2c_x->ctrl1_bit.smbalert = level; +} + +/** + * @brief enable or disable slave data control. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_slave_data_ctrl_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.sctrl = new_state; +} + +/** + * @brief enable or disable pec calculate. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_pec_calculate_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.pecen = new_state; +} + +/** + * @brief enable or disable pec transfer. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_pec_transmit_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl2_bit.pecten = new_state; +} + +/** + * @brief get the i2c pec value. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval the value of the pec. + */ +uint8_t i2c_pec_value_get(i2c_type *i2c_x) +{ + return (uint8_t)(i2c_x->pec_bit.pecval); +} + +/** + * @brief config the i2c bus timeout. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param timeout: timeout (0x0000~0x0FFF). + * @retval none + */ +void i2c_timeout_set(i2c_type *i2c_x, uint16_t timeout) +{ + i2c_x->timeout_bit.totime = timeout; +} + +/** + * @brief config the bus timeout detcet level. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param level + * this parameter can be one of the following values: + * - I2C_TIMEOUT_DETCET_HIGH: detect high level timeout. + * - I2C_TIMEOUT_DETCET_LOW: detect low level timeout. + * @retval none + */ +void i2c_timeout_detcet_set(i2c_type *i2c_x, i2c_timeout_detcet_type mode) +{ + i2c_x->timeout_bit.tomode = mode; +} + +/** + * @brief enable or disable bus timeout. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_timeout_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->timeout_bit.toen = new_state; +} + +/** + * @brief config the i2c extend bus timeout. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param timeout: extend timeout (0x0000~0x0FFF). + * @retval none + */ +void i2c_ext_timeout_set(i2c_type *i2c_x, uint16_t timeout) +{ + i2c_x->timeout_bit.exttime = timeout; +} + +/** + * @brief enable or disable extend bus timeout. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_ext_timeout_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->timeout_bit.exten = new_state; +} + +/** + * @brief enable or disable interrupts. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param i2c_int: interrupts sources. + * this parameter can be one of the following values: + * - I2C_TD_INT: transmit data interrupt. + * - I2C_RD_INT: receive data interrupt. + * - I2C_ADDR_INT: address match interrupt. + * - I2C_ACKFIAL_INT: ack fail interrupt. + * - I2C_STOP_INT: stop detect interrupt. + * - I2C_TDC_INT: transmit data complete interrupt. + * - I2C_ERR_INT: bus error interrupt. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_interrupt_enable(i2c_type *i2c_x, uint32_t source, confirm_state new_state) +{ + if (new_state != FALSE) + { + i2c_x->ctrl1 |= source; + } + else + { + i2c_x->ctrl1 &= (uint32_t)~source; + } +} + +/** + * @brief get interrupt status + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param source + * this parameter can be one of the following values: + * - I2C_TD_INT: transmit data interrupt. + * - I2C_RD_INT: receive data interrupt. + * - I2C_ADDR_INT: address match interrupt. + * - I2C_ACKFIAL_INT: ack fail interrupt. + * - I2C_STOP_INT: stop detect interrupt. + * - I2C_TDC_INT: transmit data complete interrupt. + * - I2C_ERR_INT: bus error interrupt. + * @retval flag_status (SET or RESET) + */ +flag_status i2c_interrupt_get(i2c_type *i2c_x, uint16_t source) +{ + if((i2c_x->ctrl1 & source) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief enable or disable dma requests. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param dma_req: dma transfer request. + * this parameter can be one of the following values: + * - I2C_DMA_REQUEST_TX: dma transmit request. + * - I2C_DMA_REQUEST_RX: dma receive request. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_dma_enable(i2c_type *i2c_x, i2c_dma_request_type dma_req, confirm_state new_state) +{ + if(dma_req == I2C_DMA_REQUEST_TX) + { + i2c_x->ctrl1_bit.dmaten = new_state; + } + else + { + i2c_x->ctrl1_bit.dmaren = new_state; + } +} + +/** + * @brief config data transfer. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param address: slave address. + * @param cnt: transfer conuter(0~255) + * @param rld_stop: config reload and gen stop condition mode. + * this parameter can be one of the following values: + * - I2C_AUTO_STOP_MODE: auto generate stop mode. + * - I2C_SOFT_STOP_MODE: soft generate stop mode. + * - I2C_RELOAD_MODE: reload mode. + * @param start: config gen start condition mode. + * this parameter can be one of the following values: + * - I2C_WITHOUT_START: transfer data without start condition. + * - I2C_GEN_START_READ: read data and generate start. + * - I2C_GEN_START_WRITE: send data and generate start. + * @retval none + */ +void i2c_transmit_set(i2c_type *i2c_x, uint16_t address, uint8_t cnt, i2c_reload_stop_mode_type rld_stop, i2c_start_mode_type start) +{ + uint32_t temp; + + /* copy ctrl2 value to temp */ + temp = i2c_x->ctrl2; + + /* clear ctrl2_bit specific bits */ + temp &= ~0x03FF67FF; + + /* transfer mode and address set */ + temp |= address | rld_stop | start; + + /* transfer counter set */ + temp |= (uint32_t)cnt << 16; + + /* update ctrl2 value */ + i2c_x->ctrl2 = temp; +} + +/** + * @brief generate start condition. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval none + */ +void i2c_start_generate(i2c_type *i2c_x) +{ + i2c_x->ctrl2_bit.genstart = TRUE; +} + +/** + * @brief generate stop condition. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval none + */ +void i2c_stop_generate(i2c_type *i2c_x) +{ + i2c_x->ctrl2_bit.genstop = TRUE; +} + +/** + * @brief send a byte through the i2c periph. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param data: byte to be transmitted. + * @retval none + */ +void i2c_data_send(i2c_type *i2c_x, uint8_t data) +{ + i2c_x->txdt = data; +} + +/** + * @brief receive a byte through the i2c periph. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @retval the value of the received data. + */ +uint8_t i2c_data_receive(i2c_type *i2c_x) +{ + return (uint8_t)i2c_x->rxdt; +} + +/** + * @brief get flag status. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - I2C_TDBE_FLAG: transmit data buffer empty flag. + * - I2C_TDIS_FLAG: send interrupt status. + * - I2C_RDBF_FLAG: receive data buffer full flag. + * - I2C_ADDRF_FLAG: 0~7 bit address match flag. + * - I2C_ACKFAIL_FLAG: acknowledge failure flag. + * - I2C_STOPF_FLAG: stop condition generation complete flag. + * - I2C_TDC_FLAG: transmit data complete flag. + * - I2C_TCRLD_FLAG: transmission is complete, waiting to load data. + * - I2C_BUSERR_FLAG: bus error flag. + * - I2C_ARLOST_FLAG: arbitration lost flag. + * - I2C_OUF_FLAG: overflow or underflow flag. + * - I2C_PECERR_FLAG: pec receive error flag. + * - I2C_TMOUT_FLAG: smbus timeout flag. + * - I2C_ALERTF_FLAG: smbus alert flag. + * - I2C_BUSYF_FLAG: bus busy flag transmission mode. + * - I2C_SDIR_FLAG: slave data transmit direction. + * @retval the new state of flag (SET or RESET). + */ +flag_status i2c_flag_get(i2c_type *i2c_x, uint32_t flag) +{ + if((i2c_x->sts & flag) != RESET) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief get interrupt flag status. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - I2C_TDBE_FLAG: transmit data buffer empty flag. + * - I2C_TDIS_FLAG: send interrupt status. + * - I2C_RDBF_FLAG: receive data buffer full flag. + * - I2C_ADDRF_FLAG: 0~7 bit address match flag. + * - I2C_ACKFAIL_FLAG: acknowledge failure flag. + * - I2C_STOPF_FLAG: stop condition generation complete flag. + * - I2C_TDC_FLAG: transmit data complete flag. + * - I2C_TCRLD_FLAG: transmission is complete, waiting to load data. + * - I2C_BUSERR_FLAG: bus error flag. + * - I2C_ARLOST_FLAG: arbitration lost flag. + * - I2C_OUF_FLAG: overflow or underflow flag. + * - I2C_PECERR_FLAG: pec receive error flag. + * - I2C_TMOUT_FLAG: smbus timeout flag. + * - I2C_ALERTF_FLAG: smbus alert flag. + * @retval the new state of flag (SET or RESET). + */ +flag_status i2c_interrupt_flag_get(i2c_type *i2c_x, uint32_t flag) +{ + __IO uint32_t iten = 0; + + switch(flag) + { + case I2C_TDIS_FLAG: + iten = i2c_x->ctrl1_bit.tdien; + break; + case I2C_RDBF_FLAG: + iten = i2c_x->ctrl1_bit.rdien; + break; + case I2C_ADDRF_FLAG: + iten = i2c_x->ctrl1_bit.addrien; + break; + case I2C_ACKFAIL_FLAG: + iten = i2c_x->ctrl1_bit.ackfailien; + break; + case I2C_STOPF_FLAG: + iten = i2c_x->ctrl1_bit.stopien; + break; + case I2C_TDC_FLAG: + case I2C_TCRLD_FLAG: + iten = i2c_x->ctrl1_bit.tdcien; + break; + case I2C_BUSERR_FLAG: + case I2C_ARLOST_FLAG: + case I2C_OUF_FLAG: + case I2C_PECERR_FLAG: + case I2C_TMOUT_FLAG: + case I2C_ALERTF_FLAG: + iten = i2c_x->ctrl1_bit.errien; + break; + + default: + break; + } + + if(((i2c_x->sts & flag) != RESET) && (iten)) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief clear flag status + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1, I2C2, I2C3. + * @param flag: specifies the flag to clear. + * this parameter can be any combination of the following values: + * - I2C_ADDRF_FLAG: 0~7 bit address match flag. + * - I2C_ACKFAIL_FLAG: acknowledge failure flag. + * - I2C_STOPF_FLAG: stop condition generation complete flag. + * - I2C_BUSERR_FLAG: bus error flag. + * - I2C_ARLOST_FLAG: arbitration lost flag. + * - I2C_OUF_FLAG: overflow or underflow flag. + * - I2C_PECERR_FLAG: pec receive error flag. + * - I2C_TMOUT_FLAG: smbus timeout flag. + * - I2C_ALERTF_FLAG: smbus alert flag. + * @retval none + */ +void i2c_flag_clear(i2c_type *i2c_x, uint32_t flag) +{ + i2c_x->clr = flag; +} + +/** + * @brief enable or disable wakeup from deep sleep mode. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_wakeup_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.wakeupen = new_state; +} + +/** + * @brief enable or disable analog filter. + * @param i2c_x: to select the i2c peripheral. + * this parameter can be one of the following values: + * I2C1. + * @param new_state (TRUE or FALSE). + * @retval none + */ +void i2c_analog_filter_enable(i2c_type *i2c_x, confirm_state new_state) +{ + i2c_x->ctrl1_bit.angnfoff = !new_state; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_misc.c b/Firmware/drivers/src/at32a423_misc.c new file mode 100644 index 0000000..cffa06d --- /dev/null +++ b/Firmware/drivers/src/at32a423_misc.c @@ -0,0 +1,171 @@ +/** + ************************************************************************** + * @file at32a423_misc.c + * @brief contains all the functions for the misc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* includes ------------------------------------------------------------------*/ +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup MISC + * @brief MISC driver modules + * @{ + */ + +#ifdef MISC_MODULE_ENABLED + +/** @defgroup MISC_private_functions + * @{ + */ + +#define AIRCR_VECTKEY_MASK ((uint32_t)0x05FA0000) + +/** + * @brief system reset + * @param none + * @retval none + */ +void nvic_system_reset(void) +{ + NVIC_SystemReset(); +} + +/** + * @brief enable nvic irq + * @param irqn (IRQn_Type number) + * @param preempt_priority: preemptive priority value (starting from 0) + * @param sub_priority: subpriority value (starting from 0) + * @retval none + */ +void nvic_irq_enable(IRQn_Type irqn, uint32_t preempt_priority, uint32_t sub_priority) +{ + uint32_t temp_priority = 0; + + /* encode priority */ + temp_priority = NVIC_EncodePriority(NVIC_GetPriorityGrouping(), preempt_priority, sub_priority); + /* set priority */ + NVIC_SetPriority(irqn, temp_priority); + /* enable irqn */ + NVIC_EnableIRQ(irqn); +} + +/** + * @brief disable nvic irq number + * @param irqn (IRQn_Type number) + * @retval none + */ +void nvic_irq_disable(IRQn_Type irqn) +{ + NVIC_DisableIRQ(irqn); +} + +/** + * @brief config nvic priority group + * @param priority_group + * this parameter can be one of the following values: + * - NVIC_PRIORITY_GROUP_0 + * - NVIC_PRIORITY_GROUP_1 + * - NVIC_PRIORITY_GROUP_2 + * - NVIC_PRIORITY_GROUP_3 + * - NVIC_PRIORITY_GROUP_4 + * @retval none + */ +void nvic_priority_group_config(nvic_priority_group_type priority_group) +{ + /* set the prigroup[10:8] bits according to nvic_prioritygroup value */ + NVIC_SetPriorityGrouping(priority_group); +} + +/** + * @brief set the vector table location and offset. + * @param base + * this parameter can be one of the following values: + * - NVIC_VECTTAB_RAM + * - NVIC_VECTTAB_FLASH + * @param offset (vector table base offset field. this value must be a multiple of 0x200) + * @retval none + */ +void nvic_vector_table_set(uint32_t base, uint32_t offset) +{ + SCB->VTOR = base | (offset & (uint32_t)0x1FFFFF80); +} + +/** + * @brief config nvic lowpower mode + * @param lp_mode + * this parameter can be one of the following values: + * - NVIC_LP_SEVONPEND + * - NVIC_LP_SLEEPDEEP + * - NVIC_LP_SLEEPONEXIT + * @param new_state (new state of lp condition. ENABLE or DISABLE) + * @retval none + */ +void nvic_lowpower_mode_config(nvic_lowpower_mode_type lp_mode, confirm_state new_state) +{ + if(new_state != FALSE) + { + SCB->SCR |= lp_mode; + } + else + { + SCB->SCR &= (uint32_t)(~(uint32_t)lp_mode); + } +} + +/** + * @brief config systick clock source + * @param source + * this parameter can be one of the following values: + * - SYSTICK_CLOCK_SOURCE_AHBCLK_DIV8 + * - SYSTICK_CLOCK_SOURCE_AHBCLK_NODIV + * @retval none + */ +void systick_clock_source_config(systick_clock_source_type source) +{ + if(source == SYSTICK_CLOCK_SOURCE_AHBCLK_NODIV) + { + SysTick->CTRL |= SYSTICK_CLOCK_SOURCE_AHBCLK_NODIV; + } + else + { + SysTick->CTRL &= ~(uint32_t)SYSTICK_CLOCK_SOURCE_AHBCLK_NODIV; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ + + diff --git a/Firmware/drivers/src/at32a423_pwc.c b/Firmware/drivers/src/at32a423_pwc.c new file mode 100644 index 0000000..ca8c704 --- /dev/null +++ b/Firmware/drivers/src/at32a423_pwc.c @@ -0,0 +1,268 @@ +/** + ************************************************************************** + * @file at32a423_pwc.c + * @brief contains all the functions for the pwc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup PWC + * @brief PWC driver modules + * @{ + */ + +#ifdef PWC_MODULE_ENABLED + +/** @defgroup PWC_private_functions + * @{ + */ + +/** + * @brief deinitialize the pwc peripheral registers to their default reset values. + * @param none + * @retval none + */ +void pwc_reset(void) +{ + crm_periph_reset(CRM_PWC_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_PWC_PERIPH_RESET, FALSE); +} + +/** + * @brief enable or disable access to the battery powered domain. + * @param new_state: new state of battery powered domain access. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void pwc_battery_powered_domain_access(confirm_state new_state) +{ + PWC->ctrl_bit.bpwen= new_state; +} + +/** + * @brief select the voltage threshold detected by the power voltage detector. + * @param pvm_voltage: select pwc pvm voltage + * this parameter can be one of the following values: + * - PWC_PVM_VOLTAGE_2V3 + * - PWC_PVM_VOLTAGE_2V4 + * - PWC_PVM_VOLTAGE_2V5 + * - PWC_PVM_VOLTAGE_2V6 + * - PWC_PVM_VOLTAGE_2V7 + * - PWC_PVM_VOLTAGE_2V8 + * - PWC_PVM_VOLTAGE_2V9 + * @retval none + */ +void pwc_pvm_level_select(pwc_pvm_voltage_type pvm_voltage) +{ + PWC->ctrl_bit.pvmsel= pvm_voltage; +} + +/** + * @brief enable or disable pwc power voltage monitor (pvm) + * @param new_state: new state of pvm. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void pwc_power_voltage_monitor_enable(confirm_state new_state) +{ + PWC->ctrl_bit.pvmen= new_state; +} + +/** + * @brief enable or disable pwc standby wakeup pin + * @param pin_num: choose the wakeup pin. + * this parameter can be be any combination of the following values: + * - PWC_WAKEUP_PIN_1 + * - PWC_WAKEUP_PIN_2 + * - PWC_WAKEUP_PIN_6 + * - PWC_WAKEUP_PIN_7 + * @param new_state: new state of the standby wakeup pin. + * this parameter can be one of the following values: + * - TRUE + * - FALSE + * @retval none + */ +void pwc_wakeup_pin_enable(uint32_t pin_num, confirm_state new_state) +{ + if(new_state == TRUE) + { + PWC->ctrlsts |= pin_num; + } + else + { + PWC->ctrlsts &= ~pin_num; + } +} + +/** + * @brief clear flag of pwc + * @param pwc_flag: select the pwc flag. + * this parameter can be any combination of the following values: + * - PWC_WAKEUP_FLAG + * - PWC_STANDBY_FLAG + * - note:"PWC_PVM_OUTPUT_FLAG" cannot be choose!this bit is readonly bit,it means the voltage monitoring output state + * @retval none + */ +void pwc_flag_clear(uint32_t pwc_flag) +{ + if(pwc_flag & PWC_STANDBY_FLAG) + PWC->ctrl_bit.clsef = TRUE; + if(pwc_flag & PWC_WAKEUP_FLAG) + PWC->ctrl_bit.clswef = TRUE; +} + +/** + * @brief get flag of pwc + * @param pwc_flag: select the pwc flag. + * this parameter can be one of the following values: + * - PWC_WAKEUP_FLAG + * - PWC_STANDBY_FLAG + * - PWC_PVM_OUTPUT_FLAG + * @retval state of select flag(SET or RESET). + */ +flag_status pwc_flag_get(uint32_t pwc_flag) +{ + flag_status status = RESET; + if ((PWC->ctrlsts & pwc_flag) == RESET) + { + status = RESET; + } + else + { + status = SET; + } + return status; +} + +/** + * @brief enter pwc sleep mode + * @param sleep_mode_enter: choose the instruction to enter sleep mode. + * this parameter can be one of the following values: + * - PWC_SLEEP_ENTER_WFI + * - PWC_SLEEP_ENTER_WFE + * @retval none + */ +void pwc_sleep_mode_enter(pwc_sleep_enter_type pwc_sleep_enter) +{ + SCB->SCR &= (uint32_t)~0x4; + if(pwc_sleep_enter == PWC_SLEEP_ENTER_WFE) + { + __SEV(); + __WFE(); + __WFE(); + } + else if(pwc_sleep_enter == PWC_SLEEP_ENTER_WFI) + { + __WFI(); + } +} + +/** + * @brief enter pwc deep-sleep mode + * @param pwc_deep_sleep_enter: choose the instruction to enter deep sleep mode. + * this parameter can be one of the following values: + * - PWC_DEEP_SLEEP_ENTER_WFI + * - PWC_DEEP_SLEEP_ENTER_WFE + * @retval none + */ +void pwc_deep_sleep_mode_enter(pwc_deep_sleep_enter_type pwc_deep_sleep_enter) +{ + SCB->SCR |= 0x04; + if(pwc_deep_sleep_enter == PWC_DEEP_SLEEP_ENTER_WFE) + { + __SEV(); + __WFE(); + __WFE(); + } + else if(pwc_deep_sleep_enter == PWC_DEEP_SLEEP_ENTER_WFI) + { + __WFI(); + } + SCB->SCR &= (uint32_t)~0x4; +} + +/** + * @brief regulate low power consumption in the deep sleep mode + * @param pwc_regulator: set the regulator state. + * this parameter can be one of the following values: + * - PWC_REGULATOR_ON + * - PWC_REGULATOR_LOW_POWER + * - PWC_REGULATOR_EXTRA_LOW_POWER + * @note: when using extra low power mode, it is prohibited to enable deepsleep_debug for debugging! + * @retval none + */ +void pwc_voltage_regulate_set(pwc_regulator_type pwc_regulator) +{ + switch(pwc_regulator) + { + case PWC_REGULATOR_ON: + PWC->ldoov_bit.vrexlpen = FALSE; + PWC->ctrl_bit.vrsel = FALSE; + break; + case PWC_REGULATOR_LOW_POWER: + PWC->ldoov_bit.vrexlpen = FALSE; + PWC->ctrl_bit.vrsel = TRUE; + break; + case PWC_REGULATOR_EXTRA_LOW_POWER: + PWC->ldoov_bit.vrexlpen = TRUE; + PWC->ctrl_bit.vrsel = TRUE; + break; + default: + break; + } +} + +/** + * @brief enter pwc standby mode + * @param none + * @retval none + */ +void pwc_standby_mode_enter(void) +{ + PWC->ctrl_bit.clswef = TRUE; + PWC->ctrl_bit.lpsel = TRUE; + SCB->SCR |= 0x04; +#if defined (__CC_ARM) + __force_stores(); +#endif + while(1) + { + __WFI(); + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_scfg.c b/Firmware/drivers/src/at32a423_scfg.c new file mode 100644 index 0000000..07f6328 --- /dev/null +++ b/Firmware/drivers/src/at32a423_scfg.c @@ -0,0 +1,221 @@ +/** + ************************************************************************** + * @file at32a423_scfg.c + * @brief contains all the functions for the system config firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup SCFG + * @brief SCFG driver modules + * @{ + */ + +#ifdef SCFG_MODULE_ENABLED + +/** @defgroup SCFG_private_functions + * @{ + */ + +/** + * @brief scfg reset + * @param none + * @retval none + */ +void scfg_reset(void) +{ + crm_periph_reset(CRM_SCFG_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_SCFG_PERIPH_RESET, FALSE); +} + +/** + * @brief scfg infrared config + * @param source + * this parameter can be one of the following values: + * - SCFG_IR_SOURCE_TMR10 + * @param polarity + * this parameter can be one of the following values: + * - SCFG_IR_POLARITY_NO_AFFECTE + * - SCFG_IR_POLARITY_REVERSE + * @retval none + */ +void scfg_infrared_config(scfg_ir_source_type source, scfg_ir_polarity_type polarity) +{ + SCFG->cfg1_bit.ir_src_sel = source; + SCFG->cfg1_bit.ir_pol = polarity; +} + +/** + * @brief scfg memory address mapping get + * @param none + * @retval return parameter can be one of the following values: + * - SCFG_MEM_MAP_MAIN_MEMORY + * - SCFG_MEM_MAP_BOOT_MEMORY + * - SCFG_MEM_MAP_INTERNAL_SRAM + */ +scfg_mem_map_type scfg_mem_map_get(void) +{ + if(SCFG->cfg1_bit.mem_map_sel & 0x1) + { + return (scfg_mem_map_type)SCFG->cfg1_bit.mem_map_sel; + } + return SCFG_MEM_MAP_MAIN_MEMORY; +} + +/** + * @brief i2s full duplex config. + * @param i2s_full_duplex: + * this parameter can be one of the following values: + * - SCFG_FULL_DUPLEX_I2S_NONE + * - SCFG_FULL_DUPLEX_I2S1_I2S3 + * - SCFG_FULL_DUPLEX_I2S2_I2S3 + * - SCFG_FULL_DUPLEX_I2S1_I2S2 + * @retval none + */ +void scfg_i2s_full_duplex_config(scfg_i2s_type i2s_full_duplex) +{ + SCFG->cfg2_bit.i2s_fd = i2s_full_duplex; +} + +/** + * @brief scfg pvm lock enable. + * @param new_state (TRUE or FALSE) + * - TRUE (pvm interrupt connect to the brake of TMR1/9/10/11/12/13/14 ) + * - FALSE (pvm interrupt not connect to the brake of TMR1/9/10/11/12/13/14 ) + * @retval none + */ +void scfg_pvm_lock_enable(confirm_state new_state) +{ + SCFG->cfg2_bit.pvm_lk = new_state; +} + +/** + * @brief scfg cm4 lockup lock enable. + * @param new_state (TRUE or FALSE) + * - TRUE + * - FALSE + * @retval none + */ +void scfg_lockup_enable(confirm_state new_state) +{ + SCFG->cfg2_bit.lockup_lk = new_state; +} + +/** + * @brief select the gpio pin used as exint line. + * @param port_source: + * select the gpio port to be used as source for exint lines. + * this parameter can be one of the following values: + * - SCFG_PORT_SOURCE_GPIOA + * - SCFG_PORT_SOURCE_GPIOB + * - SCFG_PORT_SOURCE_GPIOC + * - SCFG_PORT_SOURCE_GPIOD + * - SCFG_PORT_SOURCE_GPIOE + * - SCFG_PORT_SOURCE_GPIOF + * @param pin_source: + * specifies the exint line to be configured. + * this parameter can be one of the following values: + * - SCFG_PINS_SOURCE0 + * - SCFG_PINS_SOURCE1 + * - SCFG_PINS_SOURCE2 + * - SCFG_PINS_SOURCE3 + * - SCFG_PINS_SOURCE4 + * - SCFG_PINS_SOURCE5 + * - SCFG_PINS_SOURCE6 + * - SCFG_PINS_SOURCE7 + * - SCFG_PINS_SOURCE8 + * - SCFG_PINS_SOURCE9 + * - SCFG_PINS_SOURCE10 + * - SCFG_PINS_SOURCE11 + * - SCFG_PINS_SOURCE12 + * - SCFG_PINS_SOURCE13 + * - SCFG_PINS_SOURCE14 + * - SCFG_PINS_SOURCE15 + * @retval none + */ +void scfg_exint_line_config(scfg_port_source_type port_source, scfg_pins_source_type pin_source) +{ + uint32_t tmp = 0x00; + tmp = ((uint32_t)0x0F) << (0x04 * (pin_source & (uint8_t)0x03)); + + switch (pin_source >> 0x02) + { + case 0: + SCFG->exintc1 &= ~tmp; + SCFG->exintc1 |= (((uint32_t)port_source) << (0x04 * (pin_source & (uint8_t)0x03))); + break; + case 1: + SCFG->exintc2 &= ~tmp; + SCFG->exintc2 |= (((uint32_t)port_source) << (0x04 * (pin_source & (uint8_t)0x03))); + break; + case 2: + SCFG->exintc3 &= ~tmp; + SCFG->exintc3 |= (((uint32_t)port_source) << (0x04 * (pin_source & (uint8_t)0x03))); + break; + case 3: + SCFG->exintc4 &= ~tmp; + SCFG->exintc4 |= (((uint32_t)port_source) << (0x04 * (pin_source & (uint8_t)0x03))); + break; + default: + break; + } +} + +/** + * @brief enable or disable gpio pins ultra driven. + * @param value: + * this parameter can be one of the following values: + * - SCFG_ULTRA_DRIVEN_PB9 + * - SCFG_ULTRA_DRIVEN_PB8 + * - SCFG_ULTRA_DRIVEN_PD12 + * - SCFG_ULTRA_DRIVEN_PD13 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void scfg_pins_ultra_driven_enable(scfg_ultra_driven_pins_type value, confirm_state new_state) +{ + if(TRUE == new_state) + { + SCFG_REG(value) |= SCFG_REG_BIT(value); + } + else + { + SCFG_REG(value) &= ~(SCFG_REG_BIT(value)); + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_spi.c b/Firmware/drivers/src/at32a423_spi.c new file mode 100644 index 0000000..f2816f4 --- /dev/null +++ b/Firmware/drivers/src/at32a423_spi.c @@ -0,0 +1,713 @@ +/** + ************************************************************************** + * @file at32a423_spi.c + * @brief contains all the functions for the spi firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup SPI + * @brief SPI driver modules + * @{ + */ + +#ifdef SPI_MODULE_ENABLED + +/** @defgroup SPI_private_functions + * @{ + */ + +/** + * @brief spi reset by crm reset register + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @retval none + */ +void spi_i2s_reset(spi_type *spi_x) +{ + if(spi_x == SPI1) + { + crm_periph_reset(CRM_SPI1_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_SPI1_PERIPH_RESET, FALSE); + } + else if(spi_x == SPI2) + { + crm_periph_reset(CRM_SPI2_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_SPI2_PERIPH_RESET, FALSE); + } + else if(spi_x == SPI3) + { + crm_periph_reset(CRM_SPI3_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_SPI3_PERIPH_RESET, FALSE); + } +} + +/** + * @brief spi init config with its default value. + * @param spi_init_struct : pointer to a spi_init_type structure which will + * be initialized. + * @retval none + */ +void spi_default_para_init(spi_init_type* spi_init_struct) +{ + spi_init_struct->transmission_mode = SPI_TRANSMIT_FULL_DUPLEX; + spi_init_struct->master_slave_mode = SPI_MODE_SLAVE; + spi_init_struct->mclk_freq_division = SPI_MCLK_DIV_2; + spi_init_struct->first_bit_transmission = SPI_FIRST_BIT_MSB; + spi_init_struct->frame_bit_num = SPI_FRAME_8BIT; + spi_init_struct->clock_polarity = SPI_CLOCK_POLARITY_LOW; + spi_init_struct->clock_phase = SPI_CLOCK_PHASE_1EDGE; + spi_init_struct->cs_mode_selection = SPI_CS_SOFTWARE_MODE; +} + +/** + * @brief spi init config with its setting value. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param spi_init_struct : pointer to a spi_init_type structure which will be initialized. + * @retval none + */ +void spi_init(spi_type* spi_x, spi_init_type* spi_init_struct) +{ + spi_x->i2sctrl_bit.i2smsel = FALSE; + if(spi_init_struct->transmission_mode == SPI_TRANSMIT_FULL_DUPLEX) + { + spi_x->ctrl1_bit.slben = FALSE; + spi_x->ctrl1_bit.slbtd = FALSE; + spi_x->ctrl1_bit.ora = FALSE; + } + else if(spi_init_struct->transmission_mode == SPI_TRANSMIT_SIMPLEX_RX) + { + spi_x->ctrl1_bit.slben = FALSE; + spi_x->ctrl1_bit.slbtd = FALSE; + spi_x->ctrl1_bit.ora = TRUE; + } + else if(spi_init_struct->transmission_mode == SPI_TRANSMIT_HALF_DUPLEX_RX) + { + spi_x->ctrl1_bit.slben = TRUE; + spi_x->ctrl1_bit.slbtd = FALSE; + spi_x->ctrl1_bit.ora = FALSE; + } + else if(spi_init_struct->transmission_mode == SPI_TRANSMIT_HALF_DUPLEX_TX) + { + spi_x->ctrl1_bit.slben = TRUE; + spi_x->ctrl1_bit.slbtd = TRUE; + spi_x->ctrl1_bit.ora = FALSE; + } + + spi_x->ctrl1_bit.swcsen = spi_init_struct->cs_mode_selection; + if((spi_init_struct->master_slave_mode == SPI_MODE_MASTER) && (spi_init_struct->cs_mode_selection == SPI_CS_SOFTWARE_MODE)) + { + spi_x->ctrl1_bit.swcsil = TRUE; + } + else + { + spi_x->ctrl1_bit.swcsil = FALSE; + } + spi_x->ctrl1_bit.msten = spi_init_struct->master_slave_mode; + + if(spi_init_struct->mclk_freq_division <= SPI_MCLK_DIV_256) + { + spi_x->ctrl2_bit.mdiv3en = FALSE; + spi_x->ctrl2_bit.mdiv_h = FALSE; + spi_x->ctrl1_bit.mdiv_l = spi_init_struct->mclk_freq_division; + } + else if(spi_init_struct->mclk_freq_division == SPI_MCLK_DIV_3) + { + spi_x->ctrl2_bit.mdiv3en = TRUE; + spi_x->ctrl2_bit.mdiv_h = FALSE; + spi_x->ctrl1_bit.mdiv_l = 0; + } + else + { + spi_x->ctrl2_bit.mdiv3en = FALSE; + spi_x->ctrl2_bit.mdiv_h = TRUE; + spi_x->ctrl1_bit.mdiv_l = spi_init_struct->mclk_freq_division & 0x7; + } + + spi_x->ctrl1_bit.ltf = spi_init_struct->first_bit_transmission; + spi_x->ctrl1_bit.fbn = spi_init_struct->frame_bit_num; + spi_x->ctrl1_bit.clkpol = spi_init_struct->clock_polarity; + spi_x->ctrl1_bit.clkpha = spi_init_struct->clock_phase; +} + +/** + * @brief enable or disable the ti mode for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of ti mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_ti_mode_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl2_bit.tien = new_state; +} + +/** + * @brief spi next transmit crc for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @retval none + */ +void spi_crc_next_transmit(spi_type* spi_x) +{ + spi_x->ctrl1_bit.ntc = TRUE; +} + +/** + * @brief set the crc polynomial value for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param crc_poly: crc polynomial value. + * @retval none + */ +void spi_crc_polynomial_set(spi_type* spi_x, uint16_t crc_poly) +{ + spi_x->cpoly_bit.cpoly = crc_poly; +} + +/** + * @brief return the crc polynomial register value for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @retval the select crc polynomial register value + */ +uint16_t spi_crc_polynomial_get(spi_type* spi_x) +{ + return spi_x->cpoly_bit.cpoly; +} + +/** + * @brief enable or disable the hardware crc calculation for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of crc calculation. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_crc_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl1_bit.ccen = new_state; +} + +/** + * @brief return the transmit or the receive crc value for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param crc_direction: select transmit or receive crc value to be read + * - SPI_CRC_RX + * - SPI_CRC_TX + * @retval the select crc register value + */ +uint16_t spi_crc_value_get(spi_type* spi_x, spi_crc_direction_type crc_direction) +{ + if(crc_direction == SPI_CRC_RX) + return spi_x->rcrc_bit.rcrc; + else + return spi_x->tcrc_bit.tcrc; +} + +/** + * @brief enable or disable the hardware cs output for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of spi master cs output. + * this parameter can be: TRUE or FALSE. + * note:the bit only use in spi master mode + * @retval none + */ +void spi_hardware_cs_output_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl2_bit.hwcsoe = new_state; +} + +/** + * @brief set the software cs internal level for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param level: set the state of spi cs level. + * this parameter can be one of the following values: + * - SPI_SWCS_INTERNAL_LEVEL_LOW + * - SPI_SWCS_INTERNAL_LEVEL_HIGHT + * note:the bit only use when swcsen bit is set. + * note:when use this bit,io operation on the cs pin are invalid. + * @retval none + */ +void spi_software_cs_internal_level_set(spi_type* spi_x, spi_software_cs_level_type level) +{ + spi_x->ctrl1_bit.swcsil = level; +} + +/** + * @brief set the data frame bit num for the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param bit_num: set the data frame size + * - SPI_FRAME_8BIT + * - SPI_FRAME_16BIT + * @retval none + */ +void spi_frame_bit_num_set(spi_type* spi_x, spi_frame_bit_num_type bit_num) +{ + spi_x->ctrl1_bit.fbn = bit_num; +} + +/** + * @brief set the data transmission direction in single line bidirectiona half duplex mode of the spi peripheral. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param direction: data transfer direction + * this parameter can be one of the following values: + * - SPI_HALF_DUPLEX_DIRECTION_RX + * - SPI_HALF_DUPLEX_DIRECTION_TX + * @retval none + */ +void spi_half_duplex_direction_set(spi_type* spi_x, spi_half_duplex_direction_type direction) +{ + spi_x->ctrl1_bit.slbtd = direction; +} + +/** + * @brief enable or disable spi. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of spi. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl1_bit.spien = new_state; +} + +/** + * @brief i2s init config with its default value. + * @param i2s_init_struct : pointer to a i2s_init_type structure which will + * be initialized. + * @retval none + */ +void i2s_default_para_init(i2s_init_type* i2s_init_struct) +{ + i2s_init_struct->operation_mode = I2S_MODE_SLAVE_TX; + i2s_init_struct->audio_protocol = I2S_AUDIO_PROTOCOL_PHILLIPS; + i2s_init_struct->audio_sampling_freq = I2S_AUDIO_FREQUENCY_DEFAULT; + i2s_init_struct->data_channel_format = I2S_DATA_16BIT_CHANNEL_16BIT; + i2s_init_struct->clock_polarity = I2S_CLOCK_POLARITY_LOW; + i2s_init_struct->mclk_output_enable = FALSE; +} + +/** + * @brief i2s init config with its setting value. + * @param spi_x: select the spi peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param i2s_init_struct : pointer to a i2s_init_type structure which will be initialized. + * @retval none + */ +void i2s_init(spi_type* spi_x, i2s_init_type* i2s_init_struct) +{ + crm_clocks_freq_type clocks_freq; + uint32_t i2s_sclk_index = 0; + uint32_t i2sdiv_index = 2, i2sodd_index = 0, frequency_index = 0; + + /* i2s audio frequency config */ + if(i2s_init_struct->audio_sampling_freq == I2S_AUDIO_FREQUENCY_DEFAULT) + { + i2sodd_index = 0; + i2sdiv_index = 2; + } + else + { + crm_clocks_freq_get(&clocks_freq); + i2s_sclk_index = clocks_freq.sclk_freq; + if((i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_PCM_SHORT) || (i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_PCM_LONG)) + { + if(i2s_init_struct->mclk_output_enable == TRUE) + { + frequency_index = (((i2s_sclk_index / 128) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + } + else + { + if(i2s_init_struct->data_channel_format == I2S_DATA_16BIT_CHANNEL_16BIT) + frequency_index = (((i2s_sclk_index / 16) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + else + frequency_index = (((i2s_sclk_index / 32) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + } + } + else + { + if(i2s_init_struct->mclk_output_enable == TRUE) + { + frequency_index = (((i2s_sclk_index / 256) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + } + else + { + if(i2s_init_struct->data_channel_format == I2S_DATA_16BIT_CHANNEL_16BIT) + frequency_index = (((i2s_sclk_index / 32) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + else + frequency_index = (((i2s_sclk_index / 64) * 10) / i2s_init_struct->audio_sampling_freq) + 5; + } + } + } + frequency_index = frequency_index / 10; + i2sodd_index = frequency_index & (uint16_t)0x0001; + i2sdiv_index = (frequency_index - i2sodd_index) / 2; + if((i2sdiv_index < 2) || (i2sdiv_index > 0x03FF)) + { + i2sodd_index = 0; + i2sdiv_index = 2; + } + spi_x->i2sclk_bit.i2sodd = i2sodd_index; + if(i2sdiv_index > 0x00FF) + { + spi_x->i2sclk_bit.i2sdiv_h = (i2sdiv_index >> 8) & 0x0003; + spi_x->i2sclk_bit.i2sdiv_l = i2sdiv_index & 0x00FF; + } + else + { + spi_x->i2sclk_bit.i2sdiv_h = 0; + spi_x->i2sclk_bit.i2sdiv_l = i2sdiv_index; + } + + /* i2s audio_protocol set*/ + if(i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_PCM_LONG) + { + spi_x->i2sctrl_bit.pcmfssel = 1; + spi_x->i2sctrl_bit.stdsel = 3; + } + else if(i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_PCM_SHORT) + { + spi_x->i2sctrl_bit.pcmfssel = 0; + spi_x->i2sctrl_bit.stdsel = 3; + } + else if(i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_LSB) + { + spi_x->i2sctrl_bit.pcmfssel = 0; + spi_x->i2sctrl_bit.stdsel = 2; + } + else if(i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_MSB) + { + spi_x->i2sctrl_bit.pcmfssel = 0; + spi_x->i2sctrl_bit.stdsel = 1; + } + else if(i2s_init_struct->audio_protocol == I2S_AUDIO_PROTOCOL_PHILLIPS) + { + spi_x->i2sctrl_bit.pcmfssel = 0; + spi_x->i2sctrl_bit.stdsel = 0; + } + + /* i2s data_channel_format set*/ + if(i2s_init_struct->data_channel_format == I2S_DATA_16BIT_CHANNEL_16BIT) + { + spi_x->i2sctrl_bit.i2scbn = 0; + spi_x->i2sctrl_bit.i2sdbn = 0; + } + else if(i2s_init_struct->data_channel_format == I2S_DATA_16BIT_CHANNEL_32BIT) + { + spi_x->i2sctrl_bit.i2scbn = 1; + spi_x->i2sctrl_bit.i2sdbn = 0; + } + else if(i2s_init_struct->data_channel_format == I2S_DATA_24BIT_CHANNEL_32BIT) + { + spi_x->i2sctrl_bit.i2scbn = 1; + spi_x->i2sctrl_bit.i2sdbn = 1; + } + else if(i2s_init_struct->data_channel_format == I2S_DATA_32BIT_CHANNEL_32BIT) + { + spi_x->i2sctrl_bit.i2scbn = 1; + spi_x->i2sctrl_bit.i2sdbn = 2; + } + + spi_x->i2sctrl_bit.i2sclkpol = i2s_init_struct->clock_polarity; + spi_x->i2sclk_bit.i2smclkoe = i2s_init_struct->mclk_output_enable; + spi_x->i2sctrl_bit.opersel = i2s_init_struct->operation_mode; + spi_x->i2sctrl_bit.i2smsel = TRUE; +} + +/** + * @brief enable or disable i2s. + * @param spi_x: select the i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of i2s. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void i2s_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->i2sctrl_bit.i2sen = new_state; +} + +/** + * @brief enable or disable the specified spi/i2s interrupts. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param spi_i2s_int: specifies the spi/i2s interrupt sources to be enabled or disabled. + * this parameter can be one of the following values: + * - SPI_I2S_ERROR_INT + * - SPI_I2S_RDBF_INT + * - SPI_I2S_TDBE_INT + * @param new_state: new state of the specified spi/i2s interrupts. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_i2s_interrupt_enable(spi_type* spi_x, uint32_t spi_i2s_int, confirm_state new_state) +{ + if(new_state != FALSE) + { + spi_x->ctrl2 |= spi_i2s_int; + } + else + { + spi_x->ctrl2 &= ~spi_i2s_int; + } +} + +/** + * @brief enable or disable the spi/i2s dma transmitter mode. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of the dma request. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_i2s_dma_transmitter_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl2_bit.dmaten = new_state; +} + +/** + * @brief enable or disable the spi/i2s dma receiver mode. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param new_state: new state of the dma request. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void spi_i2s_dma_receiver_enable(spi_type* spi_x, confirm_state new_state) +{ + spi_x->ctrl2_bit.dmaren = new_state; +} + +/** + * @brief spi/i2s data transmit + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param tx_data: the data to be transmit. + * this parameter can be: + * - (0x0000~0xFFFF) + * @retval none + */ +void spi_i2s_data_transmit(spi_type* spi_x, uint16_t tx_data) +{ + spi_x->dt = tx_data; +} + +/** + * @brief spi/i2s data receive + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @retval the received data value + */ +uint16_t spi_i2s_data_receive(spi_type* spi_x) +{ + return (uint16_t)spi_x->dt; +} + +/** + * @brief get flag of the specified spi/i2s peripheral. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param spi_i2s_flag: select the spi/i2s flag + * this parameter can be one of the following values: + * - SPI_I2S_RDBF_FLAG + * - SPI_I2S_TDBE_FLAG + * - I2S_ACS_FLAG (this flag only use in i2s mode) + * - I2S_TUERR_FLAG (this flag only use in i2s mode) + * - SPI_CCERR_FLAG (this flag only use in spi mode) + * - SPI_MMERR_FLAG (this flag only use in spi mode) + * - SPI_I2S_ROERR_FLAG + * - SPI_I2S_BF_FLAG + * - SPI_CSPAS_FLAG + * @retval the new state of spi/i2s flag + */ +flag_status spi_i2s_flag_get(spi_type* spi_x, uint32_t spi_i2s_flag) +{ + flag_status status = RESET; + if ((spi_x->sts & spi_i2s_flag) == RESET) + { + status = RESET; + } + else + { + status = SET; + } + return status; +} + +/** + * @brief get interrupt flag of the specified spi/i2s peripheral. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param spi_i2s_flag: select the spi/i2s flag + * this parameter can be one of the following values: + * - SPI_I2S_RDBF_FLAG + * - SPI_I2S_TDBE_FLAG + * - I2S_TUERR_FLAG (this flag only use in i2s mode) + * - SPI_CCERR_FLAG (this flag only use in spi mode) + * - SPI_MMERR_FLAG (this flag only use in spi mode) + * - SPI_I2S_ROERR_FLAG + * - SPI_CSPAS_FLAG + * @retval the new state of spi/i2s flag + */ +flag_status spi_i2s_interrupt_flag_get(spi_type* spi_x, uint32_t spi_i2s_flag) +{ + flag_status status = RESET; + + switch(spi_i2s_flag) + { + case SPI_I2S_RDBF_FLAG: + if(spi_x->sts_bit.rdbf && spi_x->ctrl2_bit.rdbfie) + { + status = SET; + } + break; + case SPI_I2S_TDBE_FLAG: + if(spi_x->sts_bit.tdbe && spi_x->ctrl2_bit.tdbeie) + { + status = SET; + } + break; + case I2S_TUERR_FLAG: + if(spi_x->sts_bit.tuerr && spi_x->ctrl2_bit.errie) + { + status = SET; + } + break; + case SPI_CCERR_FLAG: + if(spi_x->sts_bit.ccerr && spi_x->ctrl2_bit.errie) + { + status = SET; + } + break; + case SPI_MMERR_FLAG: + if(spi_x->sts_bit.mmerr && spi_x->ctrl2_bit.errie) + { + status = SET; + } + break; + case SPI_I2S_ROERR_FLAG: + if(spi_x->sts_bit.roerr && spi_x->ctrl2_bit.errie) + { + status = SET; + } + break; + case SPI_CSPAS_FLAG: + if(spi_x->sts_bit.cspas && spi_x->ctrl2_bit.errie) + { + status = SET; + } + break; + default: + break; + }; + return status; +} + +/** + * @brief clear flag of the specified spi/i2s peripheral. + * @param spi_x: select the spi/i2s peripheral. + * this parameter can be one of the following values: + * SPI1, SPI2, SPI3 + * @param spi_i2s_flag: select the spi/i2s flag + * this parameter can be one of the following values: + * - SPI_CCERR_FLAG + * - SPI_I2S_RDBF_FLAG + * - I2S_TUERR_FLAG + * - SPI_MMERR_FLAG + * - SPI_I2S_ROERR_FLAG + * - SPI_CSPAS_FLAG + * @note + * SPI_I2S_TDBE_FLAG this flag is cleared when the tx buffer already contain data to be transmit. + * I2S_ACS_FLAG this flag cann't cleared by software,the flag indicate the channel side(not use in pcm standard mode). + * SPI_I2S_BF_FLAG this flag cann't cleared by software, it's set and cleared by hardware. + * @retval none + */ +void spi_i2s_flag_clear(spi_type* spi_x, uint32_t spi_i2s_flag) +{ + if(spi_i2s_flag == SPI_CCERR_FLAG) + spi_x->sts = ~SPI_CCERR_FLAG; + else if(spi_i2s_flag == SPI_I2S_RDBF_FLAG) + UNUSED(spi_x->dt); + else if(spi_i2s_flag == I2S_TUERR_FLAG) + UNUSED(spi_x->sts); + else if(spi_i2s_flag == SPI_CSPAS_FLAG) + UNUSED(spi_x->sts); + else if(spi_i2s_flag == SPI_MMERR_FLAG) + { + UNUSED(spi_x->sts); + spi_x->ctrl1 = spi_x->ctrl1; + } + else if(spi_i2s_flag == SPI_I2S_ROERR_FLAG) + { + UNUSED(spi_x->dt); + UNUSED(spi_x->sts); + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_tmr.c b/Firmware/drivers/src/at32a423_tmr.c new file mode 100644 index 0000000..ffe7055 --- /dev/null +++ b/Firmware/drivers/src/at32a423_tmr.c @@ -0,0 +1,1836 @@ +/** + ************************************************************************** + * @file at32a423_tmr.c + * @brief contains all the functions for the tmr firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup TMR + * @brief TMR driver modules + * @{ + */ + +#ifdef TMR_MODULE_ENABLED + +/** @defgroup TMR_private_functions + * @{ + */ + +/** + * @brief tmr reset by crm reset register + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @retval none + */ +void tmr_reset(tmr_type *tmr_x) +{ + if(tmr_x == TMR1) + { + crm_periph_reset(CRM_TMR1_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR1_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR2) + { + crm_periph_reset(CRM_TMR2_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR2_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR3) + { + crm_periph_reset(CRM_TMR3_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR3_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR4) + { + crm_periph_reset(CRM_TMR4_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR4_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR6) + { + crm_periph_reset(CRM_TMR6_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR6_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR7) + { + crm_periph_reset(CRM_TMR7_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR7_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR9) + { + crm_periph_reset(CRM_TMR9_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR9_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR10) + { + crm_periph_reset(CRM_TMR10_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR10_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR11) + { + crm_periph_reset(CRM_TMR11_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR11_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR12) + { + crm_periph_reset(CRM_TMR12_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR12_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR13) + { + crm_periph_reset(CRM_TMR13_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR13_PERIPH_RESET, FALSE); + } + else if(tmr_x == TMR14) + { + crm_periph_reset(CRM_TMR14_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_TMR14_PERIPH_RESET, FALSE); + } +} + +/** + * @brief enable or disable tmr counter + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_counter_enable(tmr_type *tmr_x, confirm_state new_state) +{ + /* tmr counter enable */ + tmr_x->ctrl1_bit.tmren = new_state; +} + +/** + * @brief init tmr output default para + * @param tmr_output_struct + * - to the structure of tmr_output_config_type + * @retval none + */ +void tmr_output_default_para_init(tmr_output_config_type *tmr_output_struct) +{ + tmr_output_struct->oc_mode = TMR_OUTPUT_CONTROL_OFF; + tmr_output_struct->oc_idle_state = FALSE; + tmr_output_struct->occ_idle_state = FALSE; + tmr_output_struct->oc_polarity = TMR_OUTPUT_ACTIVE_HIGH; + tmr_output_struct->occ_polarity = TMR_OUTPUT_ACTIVE_HIGH; + tmr_output_struct->oc_output_state = FALSE; + tmr_output_struct->occ_output_state = FALSE; +} + +/** + * @brief init tmr input default para + * @param tmr_input_struct + * - to the structure of tmr_input_config_type + * @retval none + */ +void tmr_input_default_para_init(tmr_input_config_type *tmr_input_struct) +{ + tmr_input_struct->input_channel_select = TMR_SELECT_CHANNEL_1; + tmr_input_struct->input_polarity_select = TMR_INPUT_RISING_EDGE; + tmr_input_struct->input_mapped_select = TMR_CC_CHANNEL_MAPPED_DIRECT; + tmr_input_struct->input_filter_value = 0x0; +} + +/** + * @brief init tmr brkdt default para + * @param tmr_brkdt_struct + * - to the structure of tmr_brkdt_config_type + * @retval none + */ +void tmr_brkdt_default_para_init(tmr_brkdt_config_type *tmr_brkdt_struct) +{ + tmr_brkdt_struct->deadtime = 0x0; + tmr_brkdt_struct->brk_polarity = TMR_BRK_INPUT_ACTIVE_LOW; + tmr_brkdt_struct->wp_level = TMR_WP_OFF; + tmr_brkdt_struct->auto_output_enable = FALSE ; + tmr_brkdt_struct->fcsoen_state = FALSE ; + tmr_brkdt_struct->fcsodis_state = FALSE ; + tmr_brkdt_struct->brk_enable = FALSE ; +} + +/** + * @brief init tmr base + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_pr (for 16 bit tmr 0x0000~0xFFFF, + * for 32 bit tmr 0x0000_0000~0xFFFF_FFFF) + * @param tmr_div (timer div value:0x0000~0xFFFF) + * @retval none + */ +void tmr_base_init(tmr_type* tmr_x, uint32_t tmr_pr, uint32_t tmr_div) +{ + /* set the pr value */ + tmr_x->pr = tmr_pr; + + /* set the div value */ + tmr_x->div = tmr_div; + + /* trigger the overflow event to immediately reload pr value and div value */ + tmr_x->swevt_bit.ovfswtr = TRUE; +} + +/** + * @brief set tmr clock source division + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_clock_div + * this parameter can be one of the following values: + * - TMR_CLOCK_DIV1 + * - TMR_CLOCK_DIV2 + * - TMR_CLOCK_DIV4 + * @retval none + */ +void tmr_clock_source_div_set(tmr_type *tmr_x, tmr_clock_division_type tmr_clock_div) +{ + /* set tmr clock source division */ + tmr_x->ctrl1_bit.clkdiv = tmr_clock_div; +} + +/** + * @brief set tmr counter count direction + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_cnt_dir + * this parameter can be one of the following values: + * - TMR_COUNT_UP + * - TMR_COUNT_DOWN + * - TMR_COUNT_TWO_WAY_1 + * - TMR_COUNT_TWO_WAY_2 + * - TMR_COUNT_TWO_WAY_3 + * @retval none + */ +void tmr_cnt_dir_set(tmr_type *tmr_x, tmr_count_mode_type tmr_cnt_dir) +{ + /* set the cnt direct */ + tmr_x->ctrl1_bit.cnt_dir = tmr_cnt_dir; +} + +/** + * @brief set the repetition counter register(rpr) value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_rpr_value for TMR1(0x0000~0xFFFF) + * for TMR9, TMR10, TMR11, TMR12, TMR13, TMR14(0x00~0xFF) + * @retval none + */ +void tmr_repetition_counter_set(tmr_type *tmr_x, uint16_t tmr_rpr_value) +{ + /* set the repetition counter value */ + tmr_x->rpr_bit.rpr = tmr_rpr_value; +} + +/** + * @brief set tmr counter value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_cnt_value (for 16 bit tmr 0x0000~0xFFFF, + * for 32 bit tmr 0x0000_0000~0xFFFF_FFFF) + * @retval none + */ +void tmr_counter_value_set(tmr_type *tmr_x, uint32_t tmr_cnt_value) +{ + /* set the tmr counter value */ + tmr_x->cval = tmr_cnt_value; +} + +/** + * @brief get tmr counter value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @retval tmr counter value + */ +uint32_t tmr_counter_value_get(tmr_type *tmr_x) +{ + return tmr_x->cval; +} + +/** + * @brief set tmr div value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_div_value (0x0000~0xFFFF) + * @retval none + */ +void tmr_div_value_set(tmr_type *tmr_x, uint32_t tmr_div_value) +{ + /* set the tmr div value */ + tmr_x->div = tmr_div_value; +} + +/** + * @brief get tmr div value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @retval tmr div value + */ +uint32_t tmr_div_value_get(tmr_type *tmr_x) +{ + return tmr_x->div; +} + +/** + * @brief config tmr output channel + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param tmr_output_struct + * - to the structure of tmr_output_config_type + * @retval none + */ +void tmr_output_channel_config(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_output_config_type *tmr_output_struct) +{ + uint16_t channel_index = 0, channel_c_index = 0, channel = 0, chx_offset, chcx_offset; + + chx_offset = (8 + tmr_channel); + chcx_offset = (9 + tmr_channel); + + /* get channel idle state bit position in ctrl2 register */ + channel_index = (uint16_t)(tmr_output_struct->oc_idle_state << chx_offset); + + /* get channel complementary idle state bit position in ctrl2 register */ + channel_c_index = (uint16_t)(tmr_output_struct->occ_idle_state << chcx_offset); + + /* set output channel complementary idle state */ + tmr_x->ctrl2 &= ~(1<ctrl2 |= channel_c_index; + + /* set output channel idle state */ + tmr_x->ctrl2 &= ~(1<ctrl2 |= channel_index; + + /* set channel output mode */ + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1octrl = tmr_output_struct->oc_mode; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2octrl = tmr_output_struct->oc_mode; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3octrl = tmr_output_struct->oc_mode; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4octrl = tmr_output_struct->oc_mode; + break; + + default: + break; + } + + chx_offset = ((tmr_channel * 2) + 1); + chcx_offset = ((tmr_channel * 2) + 3); + + /* get channel polarity bit position in cctrl register */ + channel_index = (uint16_t)(tmr_output_struct->oc_polarity << chx_offset); + + /* get channel complementary polarity bit position in cctrl register */ + channel_c_index = (uint16_t)(tmr_output_struct->occ_polarity << chcx_offset); + + /* set output channel complementary polarity */ + tmr_x->cctrl &= ~(1<cctrl |= channel_c_index; + + /* set output channel polarity */ + tmr_x->cctrl &= ~(1<cctrl |= channel_index; + + chx_offset = (tmr_channel * 2); + chcx_offset = ((tmr_channel * 2) + 2); + + /* get channel enable bit position in cctrl register */ + channel_index = (uint16_t)(tmr_output_struct->oc_output_state << (tmr_channel * 2)); + + /* get channel complementary enable bit position in cctrl register */ + channel_c_index = (uint16_t)(tmr_output_struct->occ_output_state << ((tmr_channel * 2) + 2)); + + /* set output channel complementary enable bit */ + tmr_x->cctrl &= ~(1<cctrl |= channel_c_index; + + /* set output channel enable bit */ + tmr_x->cctrl &= ~(1<cctrl |= channel_index; +} + +/** + * @brief select tmr output channel mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param oc_mode + * this parameter can be one of the following values: + * - TMR_OUTPUT_CONTROL_OFF + * - TMR_OUTPUT_CONTROL_HIGH + * - TMR_OUTPUT_CONTROL_LOW + * - TMR_OUTPUT_CONTROL_SWITCH + * - TMR_OUTPUT_CONTROL_FORCE_HIGH + * - TMR_OUTPUT_CONTROL_FORCE_LOW + * - TMR_OUTPUT_CONTROL_PWM_MODE_A + * - TMR_OUTPUT_CONTROL_PWM_MODE_B + * @retval none + */ +void tmr_output_channel_mode_select(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_output_control_mode_type oc_mode) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1octrl = oc_mode; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2octrl = oc_mode; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3octrl = oc_mode; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4octrl = oc_mode; + break; + default: + break; + } +} +/** + * @brief set tmr period value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_pr_value: timer period register value of counter + * (for 16 bit tmr 0x0000~0xFFFF, + * for 32 bit tmr 0x0000_0000~0xFFFF_FFFF) + * @retval none + */ +void tmr_period_value_set(tmr_type *tmr_x, uint32_t tmr_pr_value) +{ + /* set tmr period value */ + tmr_x->pr = tmr_pr_value; +} + +/** + * @brief get tmr period value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @retval timer period register value of counter + * (for 16 bit tmr 0x0000~0xFFFF, for 32 bit tmr + * 0x0000_0000~0xFFFF_FFFF) + */ +uint32_t tmr_period_value_get(tmr_type *tmr_x) +{ + return tmr_x->pr; +} + +/** + * @brief set tmr channel value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param tmr_channel_value (for 16 bit tmr 0x0000~0xFFFF, + * for 32 bit tmr 0x0000_0000~0xFFFF_FFFF) + * @retval none + */ +void tmr_channel_value_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + uint32_t tmr_channel_value) +{ + uint16_t channel; + + channel = tmr_channel; + + /* set tmr channel value */ + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->c1dt = tmr_channel_value; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->c2dt = tmr_channel_value; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->c3dt = tmr_channel_value; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->c4dt = tmr_channel_value; + break; + + default: + break; + } +} + +/** + * @brief get tmr channel value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @retval tmr channel value + */ +uint32_t tmr_channel_value_get(tmr_type *tmr_x, tmr_channel_select_type tmr_channel) +{ + uint32_t cc_value_get = 0; + uint16_t channel; + + channel = tmr_channel; + + /* get tmr channel value */ + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + cc_value_get = tmr_x->c1dt; + break; + + case TMR_SELECT_CHANNEL_2: + cc_value_get = tmr_x->c2dt; + break; + + case TMR_SELECT_CHANNEL_3: + cc_value_get = tmr_x->c3dt; + break; + + case TMR_SELECT_CHANNEL_4: + cc_value_get = tmr_x->c4dt; + break; + + default: + break; + } + + return cc_value_get; +} +/** + * @brief set tmr period buffer + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_period_buffer_enable(tmr_type *tmr_x, confirm_state new_state) +{ + /* tmr period buffer set */ + tmr_x->ctrl1_bit.prben = new_state; +} + +/** + * @brief set tmr output channel buffer + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_output_channel_buffer_enable(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state) +{ + uint16_t channel; + + channel = tmr_channel; + + /* get tmr channel value */ + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1oben = new_state; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2oben = new_state; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3oben = new_state; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4oben = new_state; + break; + + default: + break; + } +} + +/** + * @brief set tmr output channel immediately + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_output_channel_immediately_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state) +{ + uint16_t channel; + + channel = tmr_channel; + + /* get tmr channel value */ + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1oien = new_state; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2oien = new_state; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3oien = new_state; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4oien = new_state; + break; + + default: + break; + } +} + +/** + * @brief set tmr output channel switch + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_output_channel_switch_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + confirm_state new_state) +{ + uint16_t channel; + + channel = tmr_channel; + + /* get tmr channel value */ + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1osen = new_state; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2osen = new_state; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3osen = new_state; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4osen = new_state; + break; + + default: + break; + } +} + +/** + * @brief enable or disable tmr one cycle mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_one_cycle_mode_enable(tmr_type *tmr_x, confirm_state new_state) +{ + /* tmr one cycle mode enable */ + tmr_x->ctrl1_bit.ocmen = new_state; +} + +/** + * @brief enable or disable tmr 32 bit function(plus mode) + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR2 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_32_bit_function_enable (tmr_type *tmr_x, confirm_state new_state) +{ + /* tmr 32 bit function(plus mode) enable,only for TMR2/TMR5 */ + if(tmr_x == TMR2) + { + tmr_x->ctrl1_bit.pmen = new_state; + } +} + +/** + * @brief select tmr the overflow event sources + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_overflow_request_source_set(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->ctrl1_bit.ovfs = new_state; +} + +/** + * @brief enable or disable tmr overflow event generation + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_overflow_event_disable(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->ctrl1_bit.ovfen = new_state; +} + +/** + * @brief init tmr input channel + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param input_struct + * - to the structure of tmr_input_config_type + * @param divider_factor + * this parameter can be one of the following values: + * - TMR_CHANNEL_INPUT_DIV_1 + * - TMR_CHANNEL_INPUT_DIV_2 + * - TMR_CHANNEL_INPUT_DIV_4 + * - TMR_CHANNEL_INPUT_DIV_8 + * @retval none + */ +void tmr_input_channel_init(tmr_type *tmr_x, tmr_input_config_type *input_struct, \ + tmr_channel_input_divider_type divider_factor) +{ + uint16_t channel = 0; + + /* get channel selected */ + channel = input_struct->input_channel_select; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cctrl_bit.c1en = FALSE; + tmr_x->cctrl_bit.c1p = (uint32_t)input_struct->input_polarity_select; + tmr_x->cctrl_bit.c1cp = (input_struct->input_polarity_select & 0x2) >> 1; + tmr_x->cm1_input_bit.c1c = input_struct->input_mapped_select; + tmr_x->cm1_input_bit.c1df = input_struct->input_filter_value; + tmr_x->cm1_input_bit.c1idiv = divider_factor; + tmr_x->cctrl_bit.c1en = TRUE; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cctrl_bit.c2en = FALSE; + tmr_x->cctrl_bit.c2p = (uint32_t)input_struct->input_polarity_select; + tmr_x->cctrl_bit.c2cp = (input_struct->input_polarity_select & 0x2) >> 1; + tmr_x->cm1_input_bit.c2c = input_struct->input_mapped_select; + tmr_x->cm1_input_bit.c2df = input_struct->input_filter_value; + tmr_x->cm1_input_bit.c2idiv = divider_factor; + tmr_x->cctrl_bit.c2en = TRUE; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cctrl_bit.c3en = FALSE; + tmr_x->cctrl_bit.c3p = (uint32_t)input_struct->input_polarity_select; + tmr_x->cctrl_bit.c3cp = (input_struct->input_polarity_select & 0x2) >> 1; + tmr_x->cm2_input_bit.c3c = input_struct->input_mapped_select; + tmr_x->cm2_input_bit.c3df = input_struct->input_filter_value; + tmr_x->cm2_input_bit.c3idiv = divider_factor; + tmr_x->cctrl_bit.c3en = TRUE; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cctrl_bit.c4en = FALSE; + tmr_x->cctrl_bit.c4p = (uint32_t)input_struct->input_polarity_select; + tmr_x->cm2_input_bit.c4c = input_struct->input_mapped_select; + tmr_x->cm2_input_bit.c4df = input_struct->input_filter_value; + tmr_x->cm2_input_bit.c4idiv = divider_factor; + tmr_x->cctrl_bit.c4en = TRUE; + break; + + default: + break; + } +} + +/** + * @brief tmr channel enable + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_1C + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_2C + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_3C + * - TMR_SELECT_CHANNEL_4 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_channel_enable(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, confirm_state new_state) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cctrl_bit.c1en = new_state; + break; + + case TMR_SELECT_CHANNEL_1C: + tmr_x->cctrl_bit.c1cen = new_state; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cctrl_bit.c2en = new_state; + break; + + case TMR_SELECT_CHANNEL_2C: + tmr_x->cctrl_bit.c2cen = new_state; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cctrl_bit.c3en = new_state; + break; + + case TMR_SELECT_CHANNEL_3C: + tmr_x->cctrl_bit.c3cen = new_state; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cctrl_bit.c4en = new_state; + break; + + default: + break; + } +} + +/** + * @brief set tmr input channel filter + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param filter_value (0x0~0xf) + * @retval none + */ +void tmr_input_channel_filter_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + uint16_t filter_value) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_input_bit.c1df = filter_value; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_input_bit.c2df = filter_value; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_input_bit.c3df = filter_value; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_input_bit.c4df = filter_value; + break; + + default: + break; + } +} + +/** + * @brief config tmr pwm input + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param input_struct + * - to the structure of tmr_input_config_type + * @param divider_factor + * this parameter can be one of the following values: + * - TMR_CHANNEL_INPUT_DIV_1 + * - TMR_CHANNEL_INPUT_DIV_2 + * - TMR_CHANNEL_INPUT_DIV_4 + * - TMR_CHANNEL_INPUT_DIV_8 + * @retval none + */ +void tmr_pwm_input_config(tmr_type *tmr_x, tmr_input_config_type *input_struct, \ + tmr_channel_input_divider_type divider_factor) +{ + uint16_t channel = 0; + + /* get channel selected */ + channel = input_struct->input_channel_select; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + if(input_struct->input_polarity_select == TMR_INPUT_RISING_EDGE) + { + /* set channel polarity */ + tmr_x->cctrl_bit.c1p = TMR_INPUT_RISING_EDGE; + tmr_x->cctrl_bit.c2p = TMR_INPUT_FALLING_EDGE; + } + else if(input_struct->input_polarity_select == TMR_INPUT_FALLING_EDGE) + { + /* set channel polarity */ + tmr_x->cctrl_bit.c1p = TMR_INPUT_FALLING_EDGE; + tmr_x->cctrl_bit.c2p = TMR_INPUT_RISING_EDGE; + } + + if(input_struct->input_mapped_select == TMR_CC_CHANNEL_MAPPED_DIRECT) + { + /* ic1 is mapped on ti1 */ + tmr_x->cm1_input_bit.c1c = TMR_CC_CHANNEL_MAPPED_DIRECT; + + /* ic1 is mapped on ti2 */ + tmr_x->cm1_input_bit.c2c = TMR_CC_CHANNEL_MAPPED_INDIRECT; + } + else if(input_struct->input_mapped_select == TMR_CC_CHANNEL_MAPPED_INDIRECT) + { + /* ic1 is mapped on ti1 */ + tmr_x->cm1_input_bit.c1c = TMR_CC_CHANNEL_MAPPED_INDIRECT; + + /* ic1 is mapped on ti2 */ + tmr_x->cm1_input_bit.c2c = TMR_CC_CHANNEL_MAPPED_DIRECT; + } + + /* set input ch1 and ch2 filter value*/ + tmr_x->cm1_input_bit.c1df = input_struct->input_filter_value; + tmr_x->cm1_input_bit.c2df = input_struct->input_filter_value; + + /*set input ch1 and ch2 divider value*/ + tmr_x->cm1_input_bit.c1idiv = divider_factor; + tmr_x->cm1_input_bit.c2idiv = divider_factor; + + tmr_x->cctrl_bit.c1en = TRUE; + tmr_x->cctrl_bit.c2en = TRUE; + break; + + case TMR_SELECT_CHANNEL_2: + if(input_struct->input_polarity_select == TMR_INPUT_RISING_EDGE) + { + /* set channel polarity */ + tmr_x->cctrl_bit.c2p = TMR_INPUT_RISING_EDGE; + tmr_x->cctrl_bit.c1p = TMR_INPUT_FALLING_EDGE; + } + else if(input_struct->input_polarity_select == TMR_INPUT_FALLING_EDGE) + { + /* set channel polarity */ + tmr_x->cctrl_bit.c2p = TMR_INPUT_FALLING_EDGE; + tmr_x->cctrl_bit.c1p = TMR_INPUT_RISING_EDGE; + } + + if(input_struct->input_mapped_select == TMR_CC_CHANNEL_MAPPED_DIRECT) + { + /* set mapped direct */ + tmr_x->cm1_input_bit.c2c = TMR_CC_CHANNEL_MAPPED_DIRECT; + tmr_x->cm1_input_bit.c1c = TMR_CC_CHANNEL_MAPPED_INDIRECT; + } + else if(input_struct->input_mapped_select == TMR_CC_CHANNEL_MAPPED_INDIRECT) + { + /* set mapped direct */ + tmr_x->cm1_input_bit.c2c = TMR_CC_CHANNEL_MAPPED_INDIRECT; + tmr_x->cm1_input_bit.c1c = TMR_CC_CHANNEL_MAPPED_DIRECT; + } + + /* set input ch1 and ch2 filter value*/ + tmr_x->cm1_input_bit.c1df = input_struct->input_filter_value; + tmr_x->cm1_input_bit.c2df = input_struct->input_filter_value; + + /*set input ch1 and ch2 divider value*/ + tmr_x->cm1_input_bit.c1idiv = divider_factor; + tmr_x->cm1_input_bit.c2idiv = divider_factor; + + tmr_x->cctrl_bit.c1en = TRUE; + tmr_x->cctrl_bit.c2en = TRUE; + break; + + default: + break; + } +} + +/** + * @brief select tmr channel1 input + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4 + * @param ch1_connect + * this parameter can be one of the following values: + * - TMR_CHANEL1_CONNECTED_C1IRAW + * - TMR_CHANEL1_2_3_CONNECTED_C1IRAW_XOR + * @retval none + */ +void tmr_channel1_input_select(tmr_type *tmr_x, tmr_channel1_input_connected_type ch1_connect) +{ + tmr_x->ctrl2_bit.c1insel = ch1_connect; +} + +/** + * @brief set tmr input channel divider + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param divider_factor + * this parameter can be one of the following values: + * - TMR_CHANNEL_INPUT_DIV_1 + * - TMR_CHANNEL_INPUT_DIV_2 + * - TMR_CHANNEL_INPUT_DIV_4 + * - TMR_CHANNEL_INPUT_DIV_8 + * @retval none + */ +void tmr_input_channel_divider_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_channel_input_divider_type divider_factor) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_input_bit.c1idiv = divider_factor; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_input_bit.c2idiv = divider_factor; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_input_bit.c3idiv = divider_factor; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_input_bit.c4idiv = divider_factor; + break; + + default: + break; + } +} + +/** + * @brief select tmr primary mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, TMR9, TMR12 + * @param primary_mode + * this parameter can be one of the following values: + * - TMR_PRIMARY_SEL_RESET + * - TMR_PRIMARY_SEL_ENABLE + * - TMR_PRIMARY_SEL_OVERFLOW + * - TMR_PRIMARY_SEL_COMPARE + * - TMR_PRIMARY_SEL_C1ORAW + * - TMR_PRIMARY_SEL_C2ORAW + * - TMR_PRIMARY_SEL_C3ORAW + * - TMR_PRIMARY_SEL_C4ORAW + * @retval none + */ +void tmr_primary_mode_select(tmr_type *tmr_x, tmr_primary_select_type primary_mode) +{ + tmr_x->ctrl2_bit.ptos = primary_mode; +} + +/** + * @brief select tmr subordinate mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @param sub_mode + * this parameter can be one of the following values: + * - TMR_SUB_MODE_DIABLE + * - TMR_SUB_ENCODER_MODE_A + * - TMR_SUB_ENCODER_MODE_B + * - TMR_SUB_ENCODER_MODE_C + * - TMR_SUB_RESET_MODE + * - TMR_SUB_HANG_MODE + * - TMR_SUB_TRIGGER_MODE + * - TMR_SUB_EXTERNAL_CLOCK_MODE_A + + * @retval none + */ +void tmr_sub_mode_select(tmr_type *tmr_x, tmr_sub_mode_select_type sub_mode) +{ + tmr_x->stctrl_bit.smsel = sub_mode; +} + +/** + * @brief select tmr channel dma + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param cc_dma_select + * this parameter can be one of the following values: + * - TMR_DMA_REQUEST_BY_CHANNEL + * - TMR_DMA_REQUEST_BY_OVERFLOW + * @retval none + */ +void tmr_channel_dma_select(tmr_type *tmr_x, tmr_dma_request_source_type cc_dma_select) +{ + tmr_x->ctrl2_bit.drs = cc_dma_select; +} + +/** + * @brief select tmr hall + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_hall_select(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->ctrl2_bit.ccfs = new_state; +} + +/** + * @brief select tmr channel buffer + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_channel_buffer_enable(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->ctrl2_bit.cbctrl = new_state; +} + +/** + * @brief select tmr trgout2 + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_trgout2_enable(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->ctrl2_bit.trgout2en = new_state; +} + +/** + * @brief select tmr sub-trigger + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @param trigger_select + * this parameter can be one of the following values: + * - TMR_SUB_INPUT_SEL_IS0 + * - TMR_SUB_INPUT_SEL_IS1 + * - TMR_SUB_INPUT_SEL_IS2 + * - TMR_SUB_INPUT_SEL_IS3 + * - TMR_SUB_INPUT_SEL_C1INC + * - TMR_SUB_INPUT_SEL_C1DF1 + * - TMR_SUB_INPUT_SEL_C2DF2 + * - TMR_SUB_INPUT_SEL_EXTIN + * @retval none + */ +void tmr_trigger_input_select(tmr_type *tmr_x, sub_tmr_input_sel_type trigger_select) +{ + tmr_x->stctrl_bit.stis = trigger_select; +} + +/** + * @brief set tmr subordinate synchronization mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_sub_sync_mode_set(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->stctrl_bit.sts = new_state; +} + +/** + * @brief enable or disable tmr dma request + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param dma_request + * this parameter can be one of the following values: + * - TMR_OVERFLOW_DMA_REQUEST + * - TMR_C1_DMA_REQUEST + * - TMR_C2_DMA_REQUEST + * - TMR_C3_DMA_REQUEST + * - TMR_C4_DMA_REQUEST + * - TMR_HALL_DMA_REQUEST + * - TMR_TRIGGER_DMA_REQUEST + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_dma_request_enable(tmr_type *tmr_x, tmr_dma_request_type dma_request, confirm_state new_state) +{ + if(new_state == TRUE) + { + tmr_x->iden |= dma_request; + } + else if(new_state == FALSE) + { + tmr_x->iden &= ~dma_request; + } +} + +/** + * @brief enable or disable tmr interrupt + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_interrupt + * this parameter can be one of the following values: + * - TMR_OVF_INT + * - TMR_C1_INT + * - TMR_C2_INT + * - TMR_C3_INT + * - TMR_C4_INT + * - TMR_HALL_INT + * - TMR_TRIGGER_INT + * - TMR_BRK_INT + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_interrupt_enable(tmr_type *tmr_x, uint32_t tmr_interrupt, confirm_state new_state) +{ + if(new_state == TRUE) + { + tmr_x->iden |= tmr_interrupt; + } + else if(new_state == FALSE) + { + tmr_x->iden &= ~tmr_interrupt; + } +} + +/** + * @brief get tmr interrupt flag + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_flag + * this parameter can be one of the following values: + * - TMR_OVF_FLAG + * - TMR_C1_FLAG + * - TMR_C2_FLAG + * - TMR_C3_FLAG + * - TMR_C4_FLAG + * - TMR_HALL_FLAG + * - TMR_TRIGGER_FLAG + * - TMR_BRK_FLAG + * @retval state of tmr interrupt flag + */ +flag_status tmr_interrupt_flag_get(tmr_type *tmr_x, uint32_t tmr_flag) +{ + flag_status status = RESET; + + if((tmr_x->ists & tmr_flag) && (tmr_x->iden & tmr_flag)) + { + status = SET; + } + else + { + status = RESET; + } + + return status; +} + +/** + * @brief get tmr flag + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_flag + * this parameter can be one of the following values: + * - TMR_OVF_FLAG + * - TMR_C1_FLAG + * - TMR_C2_FLAG + * - TMR_C3_FLAG + * - TMR_C4_FLAG + * - TMR_C5_FLAG + * - TMR_HALL_FLAG + * - TMR_TRIGGER_FLAG + * - TMR_BRK_FLAG + * - TMR_C1_RECAPTURE_FLAG + * - TMR_C2_RECAPTURE_FLAG + * - TMR_C3_RECAPTURE_FLAG + * - TMR_C4_RECAPTURE_FLAG + * @retval state of tmr flag + */ +flag_status tmr_flag_get(tmr_type *tmr_x, uint32_t tmr_flag) +{ + flag_status status = RESET; + + if((tmr_x->ists & tmr_flag) != RESET) + { + status = SET; + } + else + { + status = RESET; + } + + return status; +} + +/** + * @brief clear tmr flag + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_flag + * this parameter can be any combination of the following values: + * - TMR_OVF_FLAG + * - TMR_C1_FLAG + * - TMR_C2_FLAG + * - TMR_C3_FLAG + * - TMR_C4_FLAG + * - TMR_C5_FLAG + * - TMR_HALL_FLAG + * - TMR_TRIGGER_FLAG + * - TMR_BRK_FLAG + * - TMR_C1_RECAPTURE_FLAG + * - TMR_C2_RECAPTURE_FLAG + * - TMR_C3_RECAPTURE_FLAG + * - TMR_C4_RECAPTURE_FLAG + * @retval none + */ +void tmr_flag_clear(tmr_type *tmr_x, uint32_t tmr_flag) +{ + tmr_x->ists = ~tmr_flag; +} + +/** + * @brief generate tmr event + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR6, TMR7, + * TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param tmr_event + * this parameter can be one of the following values: + * - TMR_OVERFLOW_SWTRIG + * - TMR_C1_SWTRIG + * - TMR_C2_SWTRIG + * - TMR_C3_SWTRIG + * - TMR_C4_SWTRIG + * - TMR_HALL_SWTRIG + * - TMR_TRIGGER_SWTRIG + * - TMR_BRK_SWTRIG + * @retval none + */ +void tmr_event_sw_trigger(tmr_type *tmr_x, tmr_event_trigger_type tmr_event) +{ + tmr_x->swevt |= tmr_event; +} + +/** + * @brief tmr output enable(oen),this function is important for advtm output enable + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void tmr_output_enable(tmr_type *tmr_x, confirm_state new_state) +{ + tmr_x->brk_bit.oen = new_state; +} + +/** + * @brief set tmr select internal clock + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @retval none + */ +void tmr_internal_clock_set(tmr_type *tmr_x) +{ + tmr_x->stctrl_bit.smsel = TMR_SUB_MODE_DIABLE; +} + +/** + * @brief set tmr output channel polarity + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * - TMR_SELECT_CHANNEL_1C + * - TMR_SELECT_CHANNEL_2C + * - TMR_SELECT_CHANNEL_3C + * @param oc_polarity + * this parameter can be one of the following values: + * - TMR_POLARITY_ACTIVE_HIGH + * - TMR_POLARITY_ACTIVE_LOW + * @retval none + */ +void tmr_output_channel_polarity_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_polarity_active_type oc_polarity) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cctrl_bit.c1p = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cctrl_bit.c2p = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cctrl_bit.c3p = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cctrl_bit.c4p = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_1C: + tmr_x->cctrl_bit.c1cp = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_2C: + tmr_x->cctrl_bit.c2cp = (uint32_t)oc_polarity; + break; + + case TMR_SELECT_CHANNEL_3C: + tmr_x->cctrl_bit.c3cp = (uint32_t)oc_polarity; + break; + + default: + break; + } +} + +/** + * @brief config tmr external clock + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4 + * @param es_divide + * this parameter can be one of the following values: + * - TMR_ES_FREQUENCY_DIV_1 + * - TMR_ES_FREQUENCY_DIV_2 + * - TMR_ES_FREQUENCY_DIV_4 + * - TMR_ES_FREQUENCY_DIV_8 + * @param es_polarity + * this parameter can be one of the following values: + * - TMR_ES_POLARITY_NON_INVERTED + * - TMR_ES_POLARITY_INVERTED + * @param es_filter (0x0~0xf) + * @retval none + */ +void tmr_external_clock_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter) +{ + tmr_x->stctrl_bit.esdiv = es_divide; + tmr_x->stctrl_bit.esp = es_polarity; + tmr_x->stctrl_bit.esf = es_filter; +} + +/** + * @brief config tmr external clock mode1 + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @param es_divide + * this parameter can be one of the following values: + * - TMR_ES_FREQUENCY_DIV_1 + * - TMR_ES_FREQUENCY_DIV_2 + * - TMR_ES_FREQUENCY_DIV_4 + * - TMR_ES_FREQUENCY_DIV_8 + * @param es_polarity + * this parameter can be one of the following values: + * - TMR_ES_POLARITY_NON_INVERTED + * - TMR_ES_POLARITY_INVERTED + * @param es_filter (0x0~0xf) + * @retval none + */ +void tmr_external_clock_mode1_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter) +{ + tmr_external_clock_config(tmr_x, es_divide, es_polarity, es_filter); + tmr_x->stctrl_bit.smsel = TMR_SUB_EXTERNAL_CLOCK_MODE_A; + tmr_x->stctrl_bit.stis = TMR_SUB_INPUT_SEL_EXTIN; +} + +/** + * @brief config tmr external clock mode2 + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4 + * @param es_divide + * this parameter can be one of the following values: + * - TMR_ES_FREQUENCY_DIV_1 + * - TMR_ES_FREQUENCY_DIV_2 + * - TMR_ES_FREQUENCY_DIV_4 + * - TMR_ES_FREQUENCY_DIV_8 + * @param es_polarity + * this parameter can be one of the following values: + * - TMR_ES_POLARITY_NON_INVERTED + * - TMR_ES_POLARITY_INVERTED + * @param es_filter (0x0~0xf) + * @retval none + */ +void tmr_external_clock_mode2_config(tmr_type *tmr_x, tmr_external_signal_divider_type es_divide, \ + tmr_external_signal_polarity_type es_polarity, uint16_t es_filter) +{ + tmr_external_clock_config(tmr_x, es_divide, es_polarity, es_filter); + tmr_x->stctrl_bit.ecmben = TRUE; +} + +/** + * @brief config tmr encoder mode + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR12 + * @param encoder_mode + * this parameter can be one of the following values: + * - TMR_ENCODER_MODE_A + * - TMR_ENCODER_MODE_B + * - TMR_ENCODER_MODE_C + * @param ic1_polarity + * this parameter can be one of the following values: + * - TMR_INPUT_RISING_EDGE + * - TMR_INPUT_FALLING_EDGE + * - TMR_INPUT_BOTH_EDGE + * @param ic2_polarity + * this parameter can be one of the following values: + * - TMR_INPUT_RISING_EDGE + * - TMR_INPUT_FALLING_EDGE + * - TMR_INPUT_BOTH_EDGE + * @retval none + */ +void tmr_encoder_mode_config(tmr_type *tmr_x, tmr_encoder_mode_type encoder_mode, tmr_input_polarity_type \ + ic1_polarity, tmr_input_polarity_type ic2_polarity) +{ + tmr_x->stctrl_bit.smsel = encoder_mode; + + /* set ic1 polarity */ + tmr_x->cctrl_bit.c1p = (ic1_polarity & 0x1); + tmr_x->cctrl_bit.c1cp = (ic1_polarity >> 1); + /* set ic1 as input channel */ + tmr_x->cm1_input_bit.c1c = TMR_CC_CHANNEL_MAPPED_DIRECT; + + /* set ic2 polarity */ + tmr_x->cctrl_bit.c2p = (ic2_polarity & 0x1); + tmr_x->cctrl_bit.c2cp = (ic2_polarity >> 1); + /* set ic2 as input channel */ + tmr_x->cm1_input_bit.c2c = TMR_CC_CHANNEL_MAPPED_DIRECT; +} + +/** + * @brief set tmr force output + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param tmr_channel + * this parameter can be one of the following values: + * - TMR_SELECT_CHANNEL_1 + * - TMR_SELECT_CHANNEL_2 + * - TMR_SELECT_CHANNEL_3 + * - TMR_SELECT_CHANNEL_4 + * @param force_output + * this parameter can be one of the following values: + * - TMR_FORCE_OUTPUT_HIGH + * - TMR_FORCE_OUTPUT_LOW + * @retval none + */ +void tmr_force_output_set(tmr_type *tmr_x, tmr_channel_select_type tmr_channel, \ + tmr_force_output_type force_output) +{ + uint16_t channel; + + channel = tmr_channel; + + switch(channel) + { + case TMR_SELECT_CHANNEL_1: + tmr_x->cm1_output_bit.c1octrl = force_output; + break; + + case TMR_SELECT_CHANNEL_2: + tmr_x->cm1_output_bit.c2octrl = force_output; + break; + + case TMR_SELECT_CHANNEL_3: + tmr_x->cm2_output_bit.c3octrl = force_output; + break; + + case TMR_SELECT_CHANNEL_4: + tmr_x->cm2_output_bit.c4octrl = force_output; + break; + + default: + break; + } +} + +/** + * @brief config tmr dma control + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR2, TMR3, TMR4, TMR9, TMR10, + * TMR11, TMR12, TMR13, TMR14 + * @param dma_length + * this parameter can be one of the following values: + * - TMR_DMA_TRANSFER_1BYTE + * - TMR_DMA_TRANSFER_2BYTES + * - TMR_DMA_TRANSFER_3BYTES + * ... + * - TMR_DMA_TRANSFER_17BYTES + * - TMR_DMA_TRANSFER_18BYTES + * @param dma_base_address + * this parameter can be one of the following values: + * - TMR_CTRL1_ADDRESS + * - TMR_CTRL2_ADDRESS + * - TMR_STCTRL_ADDRESS + * - TMR_IDEN_ADDRESS + * - TMR_ISTS_ADDRESS + * - TMR_SWEVT_ADDRESS + * - TMR_CM1_ADDRESS + * - TMR_CM2_ADDRESS + * - TMR_CCTRL_ADDRESS + * - TMR_CVAL_ADDRESS + * - TMR_DIV_ADDRESS + * - TMR_PR_ADDRESS + * - TMR_RPR_ADDRESS + * - TMR_C1DT_ADDRESS + * - TMR_C2DT_ADDRESS + * - TMR_C3DT_ADDRESS + * - TMR_C4DT_ADDRESS + * - TMR_BRK_ADDRESS + * - TMR_DMACTRL_ADDRESS + * @retval none + */ +void tmr_dma_control_config(tmr_type *tmr_x, tmr_dma_transfer_length_type dma_length, \ + tmr_dma_address_type dma_base_address) +{ + tmr_x->dmactrl_bit.dtb = dma_length; + tmr_x->dmactrl_bit.addr = dma_base_address; +} + +/** + * @brief config tmr brake mode and dead-time + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param brkdt_struct + * - to the structure of tmr_brkdt_config_type + * @retval none + */ +void tmr_brkdt_config(tmr_type *tmr_x, tmr_brkdt_config_type *brkdt_struct) +{ + tmr_x->brk_bit.brken = brkdt_struct->brk_enable; + tmr_x->brk_bit.dtc = brkdt_struct->deadtime; + tmr_x->brk_bit.fcsodis = brkdt_struct->fcsodis_state; + tmr_x->brk_bit.fcsoen = brkdt_struct->fcsoen_state; + tmr_x->brk_bit.brkv = brkdt_struct->brk_polarity; + tmr_x->brk_bit.aoen = brkdt_struct->auto_output_enable; + tmr_x->brk_bit.wpc = brkdt_struct->wp_level; +} + +/** + * @brief set tmr break input filter value + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR1, TMR9, TMR10, TMR11, TMR12, TMR13, TMR14 + * @param filter_value (0x0~0xf) + * @retval none + */ +void tmr_brk_filter_value_set(tmr_type *tmr_x, uint8_t filter_value) +{ + tmr_x->brk_bit.bkf = filter_value; +} + +/** + * @brief set tmr14 input channel remap + * @param tmr_x: select the tmr peripheral. + * this parameter can be one of the following values: + * TMR14 + * @param input_remap + * - TMR14_GPIO + * - TMR14_ERTCCLK + * - TMR14_HEXT_DIV32 + * - TMR14_CLKOUT + * @retval none + */ +void tmr_iremap_config(tmr_type *tmr_x, tmr_input_remap_type input_remap) +{ + if(tmr_x == TMR14) + { + tmr_x->rmp_bit.tmr14_ch1_irmp = input_remap; + } +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_usart.c b/Firmware/drivers/src/at32a423_usart.c new file mode 100644 index 0000000..e38e563 --- /dev/null +++ b/Firmware/drivers/src/at32a423_usart.c @@ -0,0 +1,1026 @@ +/** + ************************************************************************** + * @file at32a423_usart.c + * @brief contains all the functions for the usart firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +/* includes ------------------------------------------------------------------*/ +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup USART + * @brief USART driver modules + * @{ + */ + +#ifdef USART_MODULE_ENABLED + +/** @defgroup USART_private_functions + * @{ + */ + +/** + * @brief deinitialize the usart peripheral registers to their default reset values. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @retval none + */ +void usart_reset(usart_type* usart_x) +{ + if(usart_x == USART1) + { + crm_periph_reset(CRM_USART1_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART1_PERIPH_RESET, FALSE); + } + else if(usart_x == USART2) + { + crm_periph_reset(CRM_USART2_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART2_PERIPH_RESET, FALSE); + } + else if(usart_x == USART3) + { + crm_periph_reset(CRM_USART3_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART3_PERIPH_RESET, FALSE); + } + else if(usart_x == USART4) + { + crm_periph_reset(CRM_USART4_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART4_PERIPH_RESET, FALSE); + } + else if(usart_x == USART5) + { + crm_periph_reset(CRM_USART5_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART5_PERIPH_RESET, FALSE); + } + else if(usart_x == USART6) + { + crm_periph_reset(CRM_USART6_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART6_PERIPH_RESET, FALSE); + } + else if(usart_x == USART7) + { + crm_periph_reset(CRM_USART7_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART7_PERIPH_RESET, FALSE); + } +#if defined (AT32A423Rx) || defined (AT32A423Vx) + else if(usart_x == USART8) + { + crm_periph_reset(CRM_USART8_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_USART8_PERIPH_RESET, FALSE); + } +#endif +} + +/** + * @brief initialize the usart peripheral according to the specified parameters. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param baud_rate: configure the usart communication baud rate. + * @param data_bit: data bits transmitted or received in a frame + * this parameter can be one of the following values: + * - USART_DATA_7BITS + * - USART_DATA_8BITS + * - USART_DATA_9BITS. + * note: + * - when parity check is disabled, the data bit width is the actual data bit number. + * - when parity check is enabled, the data bit width is the actual data bit number minus 1, and the MSB bit is replaced with the parity bit. + * @param stop_bit: stop bits transmitted + * this parameter can be one of the following values: + * - USART_STOP_1_BIT + * - USART_STOP_0_5_BIT. + * - USART_STOP_2_BIT + * - USART_STOP_1_5_BIT. + * @retval none + */ +void usart_init(usart_type* usart_x, uint32_t baud_rate, usart_data_bit_num_type data_bit, usart_stop_bit_num_type stop_bit) +{ + crm_clocks_freq_type clocks_freq; + uint32_t apb_clock, temp_val; + crm_usart_clock_source_type usart_clk; + + crm_clocks_freq_get(&clocks_freq); + + if(usart_x == USART1) + { + usart_clk = crm_usart_clock_get(CRM_USART1); + if(CRM_USART_CLOCK_SOURCE_PCLK == usart_clk) + { + apb_clock = clocks_freq.apb2_freq; + } + else if(CRM_USART_CLOCK_SOURCE_SCLK == usart_clk) + { + apb_clock = clocks_freq.sclk_freq; + } + else if(CRM_USART_CLOCK_SOURCE_LEXT == usart_clk) + { + apb_clock = LEXT_VALUE; + } + else + { + apb_clock = HICK_VALUE; + if(CRM->misc1_bit.hickdiv == CRM_HICK48_NODIV) + { + apb_clock = apb_clock * 6; + } + } + } + else if(usart_x == USART2) + { + usart_clk = crm_usart_clock_get(CRM_USART2); + if(CRM_USART_CLOCK_SOURCE_PCLK == usart_clk) + { + apb_clock = clocks_freq.apb1_freq; + } + else if(CRM_USART_CLOCK_SOURCE_SCLK == usart_clk) + { + apb_clock = clocks_freq.sclk_freq; + } + else if(CRM_USART_CLOCK_SOURCE_LEXT == usart_clk) + { + apb_clock = LEXT_VALUE; + } + else + { + apb_clock = HICK_VALUE; + if(CRM->misc1_bit.hickdiv == CRM_HICK48_NODIV) + { + apb_clock = apb_clock * 6; + } + } + } + else if(usart_x == USART3) + { + usart_clk = crm_usart_clock_get(CRM_USART3); + if(CRM_USART_CLOCK_SOURCE_PCLK == usart_clk) + { + apb_clock = clocks_freq.apb1_freq; + } + else if(CRM_USART_CLOCK_SOURCE_SCLK == usart_clk) + { + apb_clock = clocks_freq.sclk_freq; + } + else if(CRM_USART_CLOCK_SOURCE_LEXT == usart_clk) + { + apb_clock = LEXT_VALUE; + } + else + { + apb_clock = HICK_VALUE; + if(CRM->misc1_bit.hickdiv == CRM_HICK48_NODIV) + { + apb_clock = apb_clock * 6; + } + } + } + else if(usart_x == USART6) + { + apb_clock = clocks_freq.apb2_freq; + } + else + { + apb_clock = clocks_freq.apb1_freq; + } + + temp_val = (apb_clock * 10 / baud_rate); + if((temp_val % 10) < 5) + { + temp_val = (temp_val / 10); + } + else + { + temp_val = (temp_val / 10) + 1; + } + usart_x->baudr_bit.div = temp_val; + + if(data_bit == USART_DATA_7BITS) + { + usart_x->ctrl1_bit.dbn1 = 1; + usart_x->ctrl1_bit.dbn0 = 0; + } + else if(data_bit == USART_DATA_8BITS) + { + usart_x->ctrl1_bit.dbn1 = 0; + usart_x->ctrl1_bit.dbn0 = 0; + } + else + { + usart_x->ctrl1_bit.dbn1 = 0; + usart_x->ctrl1_bit.dbn0 = 1; + } + usart_x->ctrl2_bit.stopbn = stop_bit; +} + +/** + * @brief usart parity selection config. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param parity: select the none, odd or even parity. + * this parameter can be one of the following values: + * - USART_PARITY_NONE + * - USART_PARITY_EVEN. + * - USART_PARITY_ODD + * @retval none + */ +void usart_parity_selection_config(usart_type* usart_x, usart_parity_selection_type parity) +{ + if(parity == USART_PARITY_NONE) + { + usart_x->ctrl1_bit.psel = FALSE; + usart_x->ctrl1_bit.pen = FALSE; + } + else if(parity == USART_PARITY_EVEN) + { + usart_x->ctrl1_bit.psel = FALSE; + usart_x->ctrl1_bit.pen = TRUE; + } + else if(parity == USART_PARITY_ODD) + { + usart_x->ctrl1_bit.psel = TRUE; + usart_x->ctrl1_bit.pen = TRUE; + } +} + +/** + * @brief enable or disable the specified usart peripheral. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the usart peripheral. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl1_bit.uen = new_state; +} + +/** + * @brief usart transmitter enable. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param new_state: TRUE or FALSE. + * @retval none + */ +void usart_transmitter_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl1_bit.ten = new_state; +} + +/** + * @brief usart receiver enable. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param new_state: TRUE or FALSE. + * @retval none + */ +void usart_receiver_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl1_bit.ren = new_state; +} + +/** + * @brief usart clock config. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param clk_pol: polarity of the clock output on the ck pin. + * this parameter can be one of the following values: + * - USART_CLOCK_POLARITY_LOW + * - USART_CLOCK_POLARITY_HIGH + * @param clk_pha: phase of the clock output on the ck pin. + * this parameter can be one of the following values: + * - USART_CLOCK_PHASE_1EDGE + * - USART_CLOCK_PHASE_2EDGE + * @param clk_lb: whether the clock pulse of the last data bit transmitted (MSB) is outputted on the ck pin. + * this parameter can be one of the following values: + * - USART_CLOCK_LAST_BIT_NONE + * - USART_CLOCK_LAST_BIT_OUTPUT + * @retval none + */ +void usart_clock_config(usart_type* usart_x, usart_clock_polarity_type clk_pol, usart_clock_phase_type clk_pha, usart_lbcp_type clk_lb) +{ + usart_x->ctrl2_bit.clkpol = clk_pol; + usart_x->ctrl2_bit.clkpha = clk_pha; + usart_x->ctrl2_bit.lbcp = clk_lb; +} + +/** + * @brief usart enable the ck pin. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4 ,USART5, USART6, USART7 or USART8. + * @param new_state: TRUE or FALSE + * @retval none + */ +void usart_clock_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.clken = new_state; +} + +/** + * @brief enable or disable the specified usart interrupts. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param usart_int: specifies the USART interrupt sources to be enabled or disabled. + * this parameter can be one of the following values: + * - USART_IDLE_INT: idle interrupt + * - USART_RDBF_INT: rdbf interrupt + * - USART_TDC_INT: tdc interrupt + * - USART_TDBE_INT: tdbe interrupt + * - USART_PERR_INT: perr interrupt + * - USART_BF_INT: break frame interrupt + * - USART_ERR_INT: err interrupt + * - USART_CTSCF_INT: ctscf interrupt + * @param new_state: new state of the specified usart interrupts. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_interrupt_enable(usart_type* usart_x, uint32_t usart_int, confirm_state new_state) +{ + if(new_state == TRUE) + PERIPH_REG((uint32_t)usart_x, usart_int) |= PERIPH_REG_BIT(usart_int); + else + PERIPH_REG((uint32_t)usart_x, usart_int) &= ~PERIPH_REG_BIT(usart_int); +} + +/** + * @brief enable or disable the usart's dma transmitter interface. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the dma request sources. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_dma_transmitter_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.dmaten = new_state; +} + +/** + * @brief enable or disable the usart's dma receiver interface. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the dma request sources. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_dma_receiver_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.dmaren = new_state; +} + +/** + * @brief set the wakeup id of the usart. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param usart_id: the matching id(0x0~0xFF). + * @retval none + */ +void usart_wakeup_id_set(usart_type* usart_x, uint8_t usart_id) +{ + if(usart_x->ctrl2_bit.idbn == USART_ID_FIXED_4_BIT) + { + usart_x->ctrl2_bit.idl = (usart_id & 0x0F); + usart_x->ctrl2_bit.idh = 0; + } + else + { + usart_x->ctrl2_bit.idl = (usart_id & 0x0F); + usart_x->ctrl2_bit.idh = ((usart_id & 0xF0) >> 4); + } +} + +/** + * @brief select the usart wakeup method in multi-processor communication. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param wakeup_mode: determines the way to wake up usart method. + * this parameter can be one of the following values: + * - USART_WAKEUP_BY_IDLE_FRAME + * - USART_WAKEUP_BY_MATCHING_ID + * @retval none + */ +void usart_wakeup_mode_set(usart_type* usart_x, usart_wakeup_mode_type wakeup_mode) +{ + usart_x->ctrl1_bit.wum = wakeup_mode; +} + +/** + * @brief config the usart in mute mode in multi-processor communication. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the usart mute mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_receiver_mute_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl1_bit.rm = new_state; +} + +/** + * @brief set the usart break frame bit num. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param break_bit: specifies the break bit num. + * this parameter can be one of the following values: + * - USART_BREAK_10BITS + * - USART_BREAK_11BITS + * @retval none + */ +void usart_break_bit_num_set(usart_type* usart_x, usart_break_bit_num_type break_bit) +{ + usart_x->ctrl2_bit.bfbn = break_bit; +} + +/** + * @brief enable or disable the usart lin mode. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the usart lin mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_lin_mode_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.linen = new_state; +} + +/** + * @brief transmit single data through the usart peripheral. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param data: the data to transmit. + * @retval none + */ +void usart_data_transmit(usart_type* usart_x, uint16_t data) +{ + usart_x->dt = (data & 0x01FF); +} + +/** + * @brief return the most recent received data by the usart peripheral. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @retval the received data. + */ +uint16_t usart_data_receive(usart_type* usart_x) +{ + return (uint16_t)(usart_x->dt); +} + +/** + * @brief transmit break characters. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @retval none + */ +void usart_break_send(usart_type* usart_x) +{ + usart_x->ctrl1_bit.sbf = TRUE; +} + +/** + * @brief config the specified usart smartcard guard time. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param guard_time_val: specifies the guard time (0x00~0xFF). + * @retval none + */ +void usart_smartcard_guard_time_set(usart_type* usart_x, uint8_t guard_time_val) +{ + usart_x->gdiv_bit.scgt = guard_time_val; +} + +/** + * @brief config the irda/smartcard division. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param div_val: specifies the division. + * @retval none + */ +void usart_irda_smartcard_division_set(usart_type* usart_x, uint8_t div_val) +{ + usart_x->gdiv_bit.isdiv = div_val; +} + +/** + * @brief enable or disable the usart smart card mode. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the smart card mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_smartcard_mode_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.scmen = new_state; +} + +/** + * @brief enable or disable nack transmission in smartcard mode. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the nack transmission. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_smartcard_nack_set(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.scnacken = new_state; +} + +/** + * @brief enable or disable the usart single line bidirectional half-duplex communication. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the single line half-duplex select. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_single_line_halfduplex_select(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.slben = new_state; +} + +/** + * @brief enable or disable the usart's irda interface. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_irda_mode_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.irdaen = new_state; +} + +/** + * @brief configure the usart's irda low power. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_irda_low_power_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.irdalp = new_state; +} + +/** + * @brief configure the usart's hardware flow control. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param flow_state: specifies the hardware flow control. + * this parameter can be one of the following values: + * - USART_HARDWARE_FLOW_NONE + * - USART_HARDWARE_FLOW_RTS, + * - USART_HARDWARE_FLOW_CTS, + * - USART_HARDWARE_FLOW_RTS_CTS + * @retval none + */ +void usart_hardware_flow_control_set(usart_type* usart_x,usart_hardware_flow_control_type flow_state) +{ + if(flow_state == USART_HARDWARE_FLOW_NONE) + { + usart_x->ctrl3_bit.rtsen = FALSE; + usart_x->ctrl3_bit.ctsen = FALSE; + } + else if(flow_state == USART_HARDWARE_FLOW_RTS) + { + usart_x->ctrl3_bit.rtsen = TRUE; + usart_x->ctrl3_bit.ctsen = FALSE; + } + else if(flow_state == USART_HARDWARE_FLOW_CTS) + { + usart_x->ctrl3_bit.rtsen = FALSE; + usart_x->ctrl3_bit.ctsen = TRUE; + } + else if(flow_state == USART_HARDWARE_FLOW_RTS_CTS) + { + usart_x->ctrl3_bit.rtsen = TRUE; + usart_x->ctrl3_bit.ctsen = TRUE; + } +} + +/** + * @brief check whether the specified usart flag is set or not. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - USART_RXON_FLAG: transmit turned on flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_TXON_FLAG: receive turned on flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_LPWUF_FLAG: low power wake up flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_CMDF_FLAG: character match detection flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_OCCUPY_FLAG: receiver occupy flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_RTODF_FLAG: receiver time out detection flag + * - USART_CTSCF_FLAG: cts change flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_BFF_FLAG: break frame flag + * - USART_TDBE_FLAG: transmit data buffer empty flag + * - USART_TDC_FLAG: transmit data complete flag + * - USART_RDBF_FLAG: receive data buffer full flag + * - USART_IDLEF_FLAG: idle flag + * - USART_ROERR_FLAG: receiver overflow error flag + * - USART_NERR_FLAG: noise error flag + * - USART_FERR_FLAG: framing error flag + * - USART_PERR_FLAG: parity error flag + * @retval the new state of usart_flag (SET or RESET). + */ +flag_status usart_flag_get(usart_type* usart_x, uint32_t flag) +{ + if(usart_x->sts & flag) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief check whether the specified usart interrupt flag is set or not. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param flag: specifies the flag to check. + * this parameter can be one of the following values: + * - USART_RTODF_FLAG: receiver time out detection flag + * - USART_CMDF_FLAG: character match detection flag + * - USART_LPWUF_FLAG: low power wake up flag + * - USART_CTSCF_FLAG: cts change flag + * - USART_BFF_FLAG: break frame flag + * - USART_TDBE_FLAG: transmit data buffer empty flag + * - USART_TDC_FLAG: transmit data complete flag + * - USART_RDBF_FLAG: receive data buffer full flag + * - USART_IDLEF_FLAG: idle flag + * - USART_ROERR_FLAG: receiver overflow error flag + * - USART_NERR_FLAG: noise error flag + * - USART_FERR_FLAG: framing error flag + * - USART_PERR_FLAG: parity error flag + * @retval the new state of usart_flag (SET or RESET). + */ +flag_status usart_interrupt_flag_get(usart_type* usart_x, uint32_t flag) +{ + flag_status int_status = RESET; + + switch(flag) + { + case USART_CTSCF_FLAG: + int_status = (flag_status)usart_x->ctrl3_bit.ctscfien; + break; + case USART_BFF_FLAG: + int_status = (flag_status)usart_x->ctrl2_bit.bfien; + break; + case USART_TDBE_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.tdbeien; + break; + case USART_TDC_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.tdcien; + break; + case USART_RDBF_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.rdbfien; + break; + case USART_ROERR_FLAG: + int_status = (flag_status)(usart_x->ctrl1_bit.rdbfien || usart_x->ctrl3_bit.errien); + break; + case USART_IDLEF_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.idleien; + break; + case USART_NERR_FLAG: + case USART_FERR_FLAG: + int_status = (flag_status)usart_x->ctrl3_bit.errien; + break; + case USART_PERR_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.perrien; + break; + case USART_RTODF_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.retodie; + break; + case USART_CMDF_FLAG: + int_status = (flag_status)usart_x->ctrl1_bit.cmdie; + break; + case USART_LPWUF_FLAG: + int_status = (flag_status)usart_x->ctrl3_bit.lpwufie; + break; + default: + int_status = RESET; + break; + } + + if(int_status != SET) + { + return RESET; + } + + if(usart_x->sts & flag) + { + return SET; + } + else + { + return RESET; + } +} + +/** + * @brief clear the usart's pending flags. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param flag: specifies the flag to clear. + * this parameter can be any combination of the following values: + * - USART_LPWUF_FLAG: low power wake up flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_CMDF_FLAG: character match detection flag (not available for USART4,USART5,USART6,USART7 and USART8) + * - USART_RTODF_FLAG: receiver time out detection flag + * - USART_CTSCF_FLAG: (not available for USART4,USART5,USART6,USART7 and USART8). + * - USART_BFF_FLAG: + * - USART_TDC_FLAG: + * - USART_RDBF_FLAG: + * - USART_PERR_FLAG: + * - USART_FERR_FLAG: + * - USART_NERR_FLAG: + * - USART_ROERR_FLAG: + * - USART_IDLEF_FLAG: + * @note + * - USART_PERR_FLAG, USART_FERR_FLAG, USART_NERR_FLAG, USART_ROERR_FLAG and USART_IDLEF_FLAG are cleared by software + * sequence: a read operation to usart sts register (usart_flag_get()) + * followed by a read operation to usart dt register (usart_data_receive()). + * - USART_RDBF_FLAG can be also cleared by a read to the usart dt register(usart_data_receive()). + * - USART_TDC_FLAG can be also cleared by software sequence: a read operation to usart sts register (usart_flag_get()) + * followed by a write operation to usart dt register (usart_data_transmit()). + * - USART_TDBE_FLAG is cleared only by a write to the usart dt register(usart_data_transmit()). + * @retval none + */ +void usart_flag_clear(usart_type* usart_x, uint32_t flag) +{ + if(USART_RTODF_FLAG == flag) + { + usart_x->ifc = USART_RTODF_FLAG; + } + else if(USART_CMDF_FLAG == flag) + { + usart_x->ifc = USART_CMDF_FLAG; + } + else if(USART_LPWUF_FLAG == flag) + { + usart_x->ifc = USART_LPWUF_FLAG; + } + else if(flag & (USART_PERR_FLAG | USART_FERR_FLAG | USART_NERR_FLAG | USART_ROERR_FLAG | USART_IDLEF_FLAG)) + { + UNUSED(usart_x->sts); + UNUSED(usart_x->dt); + } + else + { + usart_x->sts = ~flag; + } +} + +/** + * @brief configure the usart's rs485 transmit delay time. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7 or USART8. + * @param start_delay_time: transmit start delay time. + * @param complete_delay_time: transmit complete delay time. + * @retval none + */ +void usart_rs485_delay_time_config(usart_type* usart_x, uint8_t start_delay_time, uint8_t complete_delay_time) +{ + usart_x->ctrl1_bit.tsdt = start_delay_time; + usart_x->ctrl1_bit.tcdt = complete_delay_time; +} + +/** + * @brief swap the usart's transmit receive pin. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the usart peripheral. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_transmit_receive_pin_swap(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.trpswap = new_state; +} + +/** + * @brief set the usart's identification bit num. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param id_bit_num: the usart wakeup identification bit num. + * this parameter can be: USART_ID_FIXED_4_BIT or USART_ID_RELATED_DATA_BIT. + * @retval none + */ +void usart_id_bit_num_set(usart_type* usart_x, usart_identification_bit_num_type id_bit_num) +{ + usart_x->ctrl2_bit.idbn = (uint8_t)id_bit_num; +} + +/** + * @brief set the usart's de polarity. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param de_polarity: the usart de polarity selection. + * this parameter can be: USART_DE_POLARITY_HIGH or USART_DE_POLARITY_LOW. + * @retval none + */ +void usart_de_polarity_set(usart_type* usart_x, usart_de_polarity_type de_polarity) +{ + usart_x->ctrl3_bit.dep = (uint8_t)de_polarity; +} + +/** + * @brief enable or disable the usart's rs485 mode. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_rs485_mode_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.rs485en = new_state; +} + +/** + * @brief configure the usart's low power wakeup method. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2 or USART3. + * @param wakeup_method: specifies the method of low power wakeup deep sleep. + * this parameter can be one of the following values: + * - USART_WAKEUP_METHOD_ID + * - USART_WAKEUP_METHOD_START + * - USART_WAKEUP_METHOD_RDBF + * @retval none + */ +void usart_low_power_wakeup_set(usart_type* usart_x, usart_wakeup_method_type wakeup_method) +{ + usart_x->ctrl3_bit.lpwum = wakeup_method; +} + +/** + * @brief enable or disable the usart's deep sleep mode. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2 or USART3. + * @param new_state: new state of the usart's deep sleep mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_deep_sleep_mode_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl3_bit.smusen = new_state; +} + +/** + * @brief enable or disable the usart's most significant bit transmit first. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_msb_transmit_first_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.mtf = new_state; +} + +/** + * @brief enable or disable the usart's dt register polarity reverse. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_dt_polarity_reverse(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.dtrev = new_state; +} + +/** + * @brief enable or disable the usart's tx pin polarity reverse. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_transmit_pin_polarity_reverse(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.txrev = new_state; +} + +/** + * @brief enable or disable the usart's rx pin polarity reverse. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_receive_pin_polarity_reverse(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl2_bit.rxrev = new_state; +} + +/** + * @brief enable or disable the usart's receiver timeout detection enable. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param new_state: new state of the irda mode. + * this parameter can be: TRUE or FALSE. + * @retval none + */ +void usart_receiver_timeout_detection_enable(usart_type* usart_x, confirm_state new_state) +{ + usart_x->ctrl1_bit.rtoden = new_state; +} + +/** + * @brief config the usart receiver timeout value. + * @param usart_x: select the usart or the uart peripheral. + * this parameter can be one of the following values: + * USART1, USART2, USART3, USART4, USART5, USART6, USART7,or USART8. + * @param time: configure the usart receiver timeout value. + * @retval none + */ +void usart_receiver_timeout_value_set(usart_type* usart_x, uint32_t time) +{ + usart_x->rtov = time; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_usb.c b/Firmware/drivers/src/at32a423_usb.c new file mode 100644 index 0000000..8663ef4 --- /dev/null +++ b/Firmware/drivers/src/at32a423_usb.c @@ -0,0 +1,1053 @@ +/** + ************************************************************************** + * @file at32a423_usb.c + * @brief contains all the functions for the usb firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup USB + * @brief USB driver modules + * @{ + */ + +#ifdef USB_MODULE_ENABLED + +/** @defgroup USB_private_functions + * @{ + */ + +#ifdef OTGFS_USB_GLOBAL +/** + * @brief usb global core soft reset + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval error status + */ +error_status usb_global_reset(otg_global_type *usbx) +{ + uint32_t timeout = 0; + while(usbx->grstctl_bit.ahbidle == RESET) + { + if(timeout ++ > 200000) + { + break; + } + } + timeout = 0; + usbx->grstctl_bit.csftrst = TRUE; + while(usbx->grstctl_bit.csftrst == SET) + { + if(timeout ++ > 200000) + { + break; + } + } + return SUCCESS; +} + +/** + * @brief usb global initialization + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_global_init(otg_global_type *usbx) +{ + /* reset otg moudle */ + usb_global_reset(usbx); + + /* exit power down mode */ + usbx->gccfg_bit.pwrdown = TRUE; +} + +/** + * @brief usb global select usb core (otg1 or otg2). + * @param usb_id: select otg1 or otg2 + * this parameter can be one of the following values: + * - USB_OTG1_ID + * @retval usb global register type pointer + */ +otg_global_type *usb_global_select_core(uint8_t usb_id) +{ + UNUSED(usb_id); + return OTG1_GLOBAL; +} + +/** + * @brief flush tx fifo + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param fifo_num: tx fifo num,when fifo_num=16,flush all tx fifo + * parameter as following values: 0-16 + * @retval none + */ +void usb_flush_tx_fifo(otg_global_type *usbx, uint32_t fifo_num) +{ + uint32_t timeout = 0; + /* set flush fifo number */ + usbx->grstctl_bit.txfnum = fifo_num; + + /* start flush fifo */ + usbx->grstctl_bit.txfflsh = TRUE; + + while(usbx->grstctl_bit.txfflsh == TRUE) + { + if(timeout ++ > 200000) + { + break; + } + } +} + +/** + * @brief flush rx fifo + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_flush_rx_fifo(otg_global_type *usbx) +{ + uint32_t timeout = 0; + usbx->grstctl_bit.rxfflsh = TRUE; + while(usbx->grstctl_bit.rxfflsh == TRUE) + { + if(timeout ++ > 200000) + { + break; + } + } +} + +/** + * @brief usb interrupt mask enable + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param interrupt: + * this parameter can be any combination of the following values: + * - USB_OTG_MODEMIS_INT + * - USB_OTG_OTGINT_INT + * - USB_OTG_SOF_INT + * - USB_OTG_RXFLVL_INT + * - USB_OTG_NPTXFEMP_INT + * - USB_OTG_GINNAKEFF_INT + * - USB_OTG_GOUTNAKEFF_INT + * - USB_OTG_ERLYSUSP_INT + * - USB_OTG_USBSUSP_INT + * - USB_OTG_USBRST_INT + * - USB_OTG_ENUMDONE_INT + * - USB_OTG_ISOOUTDROP_INT + * - USB_OTG_IEPT_INT + * - USB_OTG_OEPT_INT + * - USB_OTG_INCOMISOIN_INT + * - USB_OTG_INCOMPIP_INCOMPISOOUT_INT + * - USB_OTG_PRT_INT + * - USB_OTG_HCH_INT + * - USB_OTG_PTXFEMP_INT + * - USB_OTG_CONIDSCHG_INT + * - USB_OTG_DISCON_INT + * - USB_OTG_WKUP_INT + * @param new_state: TRUE or FALSE + * @retval none + */ +void usb_global_interrupt_enable(otg_global_type *usbx, uint16_t interrupt, confirm_state new_state) +{ + if(new_state == TRUE) + { + usbx->gintmsk |= interrupt; + } + else + { + usbx->gintmsk &= ~interrupt; + } +} + +/** + * @brief get all global core interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval intterupt flag + */ +uint32_t usb_global_get_all_interrupt(otg_global_type *usbx) +{ + uint32_t intsts = usbx->gintsts; + return intsts & usbx->gintmsk; +} + +/** + * @brief clear the global interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * - OTG2_GLOBAL + * @param flag: interrupt flag + * this parameter can be any combination of the following values: + * - USB_OTG_MODEMIS_FLAG + * - USB_OTG_OTGINT_FLAG + * - USB_OTG_SOF_FLAG + * - USB_OTG_RXFLVL_FLAG + * - USB_OTG_NPTXFEMP_FLAG + * - USB_OTG_GINNAKEFF_FLAG + * - USB_OTG_GOUTNAKEFF_FLAG + * - USB_OTG_ERLYSUSP_FLAG + * - USB_OTG_USBSUSP_FLAG + * - USB_OTG_USBRST_FLAG + * - USB_OTG_ENUMDONE_FLAG + * - USB_OTG_ISOOUTDROP_FLAG + * - USB_OTG_EOPF_FLAG + * - USB_OTG_IEPT_FLAG + * - USB_OTG_OEPT_FLAG + * - USB_OTG_INCOMISOIN_FLAG + * - USB_OTG_INCOMPIP_INCOMPISOOUT_FLAG + * - USB_OTG_PRT_FLAG + * - USB_OTG_HCH_FLAG + * - USB_OTG_PTXFEMP_FLAG + * - USB_OTG_CONIDSCHG_FLAG + * - USB_OTG_DISCON_FLAG + * - USB_OTG_WKUP_FLAG + * @retval none + */ +void usb_global_clear_interrupt(otg_global_type *usbx, uint32_t flag) +{ + usbx->gintsts = flag; +} + +/** + * @brief usb global interrupt enable + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * OTG1_GLOBAL + * @retval none + */ +void usb_interrupt_enable(otg_global_type *usbx) +{ + usbx->gahbcfg_bit.glbintmsk = TRUE; +} + +/** + * @brief usb global interrupt disable + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_interrupt_disable(otg_global_type *usbx) +{ + usbx->gahbcfg_bit.glbintmsk = FALSE; +} + +/** + * @brief usb set rx fifo size + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param size: rx fifo size + * @retval none + */ +void usb_set_rx_fifo(otg_global_type *usbx, uint16_t size) +{ + usbx->grxfsiz = size; +} + +/** + * @brief usb set tx fifo size + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param txfifo: the fifo number + * @param size: tx fifo size + * @retval none + */ +void usb_set_tx_fifo(otg_global_type *usbx, uint8_t txfifo, uint16_t size) +{ + uint8_t i_index = 0; + uint32_t offset = 0; + + offset = usbx->grxfsiz; + if(txfifo == 0) + { + usbx->gnptxfsiz_ept0tx = offset | (size << 16); + } + else + { + offset += usbx->gnptxfsiz_ept0tx_bit.nptxfdep; + for(i_index = 0; i_index < (txfifo - 1); i_index ++) + { + offset += usbx->dieptxfn_bit[i_index].ineptxfdep; + } + usbx->dieptxfn[txfifo - 1] = offset | (size << 16); + } +} + + +/** + * @brief set otg mode(device or host mode) + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param mode: + this parameter can be one of the following values: + * - OTG_DEVICE_MODE + * - OTG_HOST_MODE + * - OTG_DRD_MODE + * @retval none + */ +void usb_global_set_mode(otg_global_type *usbx, uint32_t mode) +{ + /* set otg to device mode */ + if(mode == OTG_DEVICE_MODE) + { + usbx->gusbcfg_bit.fhstmode = FALSE; + usbx->gusbcfg_bit.fdevmode = TRUE; + } + + /* set otg to host mode */ + if(mode == OTG_HOST_MODE) + { + usbx->gusbcfg_bit.fdevmode = FALSE; + usbx->gusbcfg_bit.fhstmode = TRUE; + } + + /* set otg to default mode */ + if(mode == OTG_DRD_MODE) + { + usbx->gusbcfg_bit.fdevmode = FALSE; + usbx->gusbcfg_bit.fhstmode = FALSE; + } +} + + +/** + * @brief disable the transceiver power down mode + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_global_power_on(otg_global_type *usbx) +{ + /* core soft reset */ + usbx->grstctl_bit.csftrst = TRUE; + while(usbx->grstctl_bit.csftrst); + + /* disable power down mode */ + usbx->gccfg_bit.pwrdown = TRUE; + +} + +/** + * @brief usb stop phy clock + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_stop_phy_clk(otg_global_type *usbx) +{ + OTG_PCGCCTL(usbx)->pcgcctl_bit.stoppclk = TRUE; +} + +/** + * @brief usb open phy clock + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_open_phy_clk(otg_global_type *usbx) +{ + OTG_PCGCCTL(usbx)->pcgcctl_bit.stoppclk = FALSE; +} + + +/** + * @brief write data from user memory to usb buffer + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param pusr_buf: point to user buffer + * @param offset_addr: endpoint tx offset address + * @param nbytes: number of bytes data write to usb buffer + * @retval none + */ +void usb_write_packet(otg_global_type *usbx, uint8_t *pusr_buf, uint16_t num, uint16_t nbytes) +{ + uint32_t n_index; + uint32_t nhbytes = (nbytes + 3) / 4; + uint32_t *pbuf = (uint32_t *)pusr_buf; + for(n_index = 0; n_index < nhbytes; n_index ++) + { +#if defined (__ICCARM__) && (__VER__ < 7000000) + USB_FIFO(usbx, num) = *(__packed uint32_t *)pbuf; +#else + USB_FIFO(usbx, num) = __UNALIGNED_UINT32_READ(pbuf); +#endif + pbuf ++; + } +} + +/** + * @brief read data from usb buffer to user buffer + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param pusr_buf: point to user buffer + * @param offset_addr: endpoint rx offset address + * @param nbytes: number of bytes data write to usb buffer + * @retval none + */ +void usb_read_packet(otg_global_type *usbx, uint8_t *pusr_buf, uint16_t num, uint16_t nbytes) +{ + uint32_t n_index; + uint32_t nhbytes = (nbytes + 3) / 4; + uint32_t *pbuf = (uint32_t *)pusr_buf; + UNUSED(num); + for(n_index = 0; n_index < nhbytes; n_index ++) + { +#if defined (__ICCARM__) && (__VER__ < 7000000) + *(__packed uint32_t *)pbuf = USB_FIFO(usbx, 0); +#else + __UNALIGNED_UINT32_WRITE(pbuf, (USB_FIFO(usbx, 0))); +#endif + pbuf ++; + } +} +#endif + + +#ifdef OTGFS_USB_DEVICE +/** + * @brief open usb endpoint + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param ept_info: endpoint information structure + * @retval none + */ +void usb_ept_open(otg_global_type *usbx, usb_ept_info *ept_info) +{ + uint8_t mps = USB_EPT0_MPS_64; + if(ept_info->eptn == USB_EPT0) + { + if(ept_info->maxpacket == 0x40) + { + mps = USB_EPT0_MPS_64; + } + else if(ept_info->maxpacket == 0x20) + { + mps = USB_EPT0_MPS_32; + } + else if(ept_info->maxpacket == 0x10) + { + mps = USB_EPT0_MPS_16; + } + else if(ept_info->maxpacket == 0x08) + { + mps = USB_EPT0_MPS_8; + } + } + /* endpoint direction is in */ + if(ept_info->inout == EPT_DIR_IN) + { + OTG_DEVICE(usbx)->daintmsk |= 1 << ept_info->eptn; + if(ept_info->eptn == USB_EPT0) + { + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.mps = mps; + } + else + { + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.mps = ept_info->maxpacket; + } + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.eptype = ept_info->trans_type; + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.txfnum = ept_info->eptn; + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.setd0pid = TRUE; + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.usbacept = TRUE; + } + /* endpoint direction is out */ + else + { + OTG_DEVICE(usbx)->daintmsk |= (1 << ept_info->eptn) << 16; + if(ept_info->eptn == USB_EPT0) + { + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.mps = mps; + } + else + { + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.mps = ept_info->maxpacket; + } + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.eptype = ept_info->trans_type; + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.setd0pid = TRUE; + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.usbacept = TRUE; + } +} + +/** + * @brief close usb endpoint + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param ept_info: endpoint information structure + * @retval none + */ +void usb_ept_close(otg_global_type *usbx, usb_ept_info *ept_info) +{ + if(ept_info->inout == EPT_DIR_IN) + { + OTG_DEVICE(usbx)->daintmsk &= ~(1 << ept_info->eptn); + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.usbacept = FALSE; + } + else + { + OTG_DEVICE(usbx)->daintmsk &= ~((1 << ept_info->eptn) << 16); + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.usbacept = FALSE; + } +} + + +/** + * @brief set endpoint tx or rx status to stall + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param ept_info: endpoint information structure + * @retval none + */ +void usb_ept_stall(otg_global_type *usbx, usb_ept_info *ept_info) +{ + if(ept_info->inout == EPT_DIR_IN) + { + if(USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.eptena == RESET) + { + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.eptdis = FALSE; + } + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.stall = SET; + } + else + { + if(USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.eptena == RESET) + { + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.eptdis = FALSE; + } + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.stall = TRUE; + } +} + +/** + * @brief clear endpoint tx or rx status to stall + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param ept_info: endpoint information structure + * @retval none + */ +void usb_ept_clear_stall(otg_global_type *usbx, usb_ept_info *ept_info) +{ + if(ept_info->inout == EPT_DIR_IN) + { + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.stall = FALSE; + if(ept_info->trans_type == EPT_INT_TYPE || ept_info->trans_type == EPT_BULK_TYPE) + { + USB_INEPT(usbx, ept_info->eptn)->diepctl_bit.setd0pid = TRUE; + } + } + else + { + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.stall = FALSE; + if(ept_info->trans_type == EPT_INT_TYPE || ept_info->trans_type == EPT_BULK_TYPE) + { + USB_OUTEPT(usbx, ept_info->eptn)->doepctl_bit.setd0pid = TRUE; + } + } +} + +/** + * @brief get all out endpoint interrupt bits + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval out endpoint interrupt bits + */ +uint32_t usb_get_all_out_interrupt(otg_global_type *usbx) +{ + uint32_t intsts = OTG_DEVICE(usbx)->daint; + return ((intsts & (OTG_DEVICE(usbx)->daintmsk)) >> 16); +} + +/** + * @brief get all in endpoint interrupt bits + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval in endpoint interrupt bits + */ +uint32_t usb_get_all_in_interrupt(otg_global_type *usbx) +{ + uint32_t intsts = OTG_DEVICE(usbx)->daint; + return ((intsts & (OTG_DEVICE(usbx)->daintmsk)) & 0xFFFF); +} + + +/** + * @brief get out endpoint interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param eptn: endpoint number + * @retval out endpoint interrupt flags + */ +uint32_t usb_ept_out_interrupt(otg_global_type *usbx, uint32_t eptn) +{ + uint32_t intsts = USB_OUTEPT(usbx, eptn)->doepint; + return (intsts & (OTG_DEVICE(usbx)->doepmsk)); +} + +/** + * @brief get in endpoint interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param eptn: endpoint number + * @retval in endpoint intterupt flags + */ +uint32_t usb_ept_in_interrupt(otg_global_type *usbx, uint32_t eptn) +{ + uint32_t intsts, mask1, mask2; + mask1 = OTG_DEVICE(usbx)->diepmsk; + mask2 = OTG_DEVICE(usbx)->diepempmsk; + mask1 |= ((mask2 >> eptn) & 0x1) << 7; + intsts = USB_INEPT(usbx, eptn)->diepint & mask1; + return intsts; +} + +/** + * @brief clear out endpoint interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param eptn: endpoint number + * @retval flag: interrupt flag + * this parameter can be any combination of the following values: + * - USB_OTG_DOEPINT_XFERC_FLAG + * - USB_OTG_DOEPINT_EPTDISD_FLAG + * - USB_OTG_DOEPINT_SETUP_FLAG + * - USB_OTG_DOEPINT_OTEPDIS_FLAG + * - USB_OTG_DOEPINT_B2BSTUP_FLAG + */ +void usb_ept_out_clear(otg_global_type *usbx, uint32_t eptn, uint32_t flag) +{ + USB_OUTEPT(usbx, eptn)->doepint = flag; +} + +/** + * @brief clear in endpoint interrupt flag + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param eptn: endpoint number + * @retval flag: interrupt flag + * this parameter can be any combination of the following values: + * - USB_OTG_DIEPINT_XFERC_FLAG + * - USB_OTG_DIEPINT_EPTDISD_FLAG + * - USB_OTG_DIEPINT_TMROC_FLAG + * - USB_OTG_DIEPINT_INTTXFE_FLAG + * - USB_OTG_DIEPINT_INEPNE_FLAG + * - USB_OTG_DIEPINT_TXFE_FLAG + */ +void usb_ept_in_clear(otg_global_type *usbx, uint32_t eptn, uint32_t flag) +{ + USB_INEPT(usbx, eptn)->diepint = flag; +} + + +/** + * @brief set the host assignment address + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param address: host assignment address + * @retval none + */ +void usb_set_address(otg_global_type *usbx, uint8_t address) +{ + OTG_DEVICE(usbx)->dcfg_bit.devaddr = address; +} + +/** + * @brief enable endpoint 0 out + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_ept0_start(otg_global_type *usbx) +{ + otg_eptout_type *usb_outept = USB_OUTEPT(usbx, 0); + usb_outept->doeptsiz = 0; + usb_outept->doeptsiz_bit.pktcnt = 1; + usb_outept->doeptsiz_bit.xfersize = 24; + usb_outept->doeptsiz_bit.rxdpid_setupcnt = 3; +} + + +/** + * @brief endpoint 0 start setup + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_ept0_setup(otg_global_type *usbx) +{ + USB_INEPT(usbx, 0)->diepctl_bit.mps = 0; + OTG_DEVICE(usbx)->dctl_bit.cgnpinak = FALSE; +} + +/** + * @brief connect usb device by enable pull-up + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_connect(otg_global_type *usbx) +{ + /* D+ 1.5k pull-up enable */ + OTG_DEVICE(usbx)->dctl_bit.sftdiscon = FALSE; +} + +/** + * @brief disconnect usb device by disable pull-up + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_disconnect(otg_global_type *usbx) +{ + /* D+ 1.5k pull-up disable */ + OTG_DEVICE(usbx)->dctl_bit.sftdiscon = TRUE; +} + + +/** + * @brief usb remote wakeup set + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_remote_wkup_set(otg_global_type *usbx) +{ + OTG_DEVICE(usbx)->dctl_bit.rwkupsig = TRUE; +} + +/** + * @brief usb remote wakeup clear + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_remote_wkup_clear(otg_global_type *usbx) +{ + OTG_DEVICE(usbx)->dctl_bit.rwkupsig = FALSE; +} + +/** + * @brief usb suspend status get + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval usb suspend status + */ +uint8_t usb_suspend_status_get(otg_global_type *usbx) +{ + return OTG_DEVICE(usbx)->dsts_bit.suspsts; +} +#endif + +#ifdef OTGFS_USB_HOST +/** + * @brief usb port power on + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param state: state (TRUE or FALSE) + * @retval none + */ +void usb_port_power_on(otg_global_type *usbx, confirm_state state) +{ + otg_host_type *usb_host = OTG_HOST(usbx); + uint32_t hprt_val = usb_host->hprt; + + hprt_val &= ~(USB_OTG_HPRT_PRTENA | USB_OTG_HPRT_PRTENCHNG | + USB_OTG_HPRT_PRTOVRCACT | USB_OTG_HPRT_PRTCONDET); + + if(state == TRUE) + { + usb_host->hprt = hprt_val | USB_OTG_HPRT_PRTPWR; + } + else + { + usb_host->hprt = hprt_val & (~USB_OTG_HPRT_PRTPWR); + } +} + +/** + * @brief get current frame number + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +uint32_t usbh_get_frame(otg_global_type *usbx) +{ + otg_host_type *usb_host = OTG_HOST(usbx); + return usb_host->hfnum & 0xFFFF; +} + +/** + * @brief enable one host channel + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param chn: host channel number + * @param ept_num: devvice endpoint number + * @param dev_address: device address + * @param type: channel transfer type + * this parameter can be one of the following values: + * - EPT_CONTROL_TYPE + * - EPT_BULK_TYPE + * - EPT_INT_TYPE + * - EPT_ISO_TYPE + * @param maxpacket: support max packe size for this channel + * @param speed: device speed + * this parameter can be one of the following values: + * - USB_PRTSPD_FULL_SPEED + * - USB_PRTSPD_LOW_SPEED + * @retval none + */ +void usb_hc_enable(otg_global_type *usbx, + uint8_t chn, + uint8_t ept_num, + uint8_t dev_address, + uint8_t type, + uint16_t maxpacket, + uint8_t speed) +{ + otg_hchannel_type *hch = USB_CHL(usbx, chn); + otg_host_type *usb_host = OTG_HOST(usbx); + + switch(type) + { + case EPT_CONTROL_TYPE: + case EPT_BULK_TYPE: + hch->hcintmsk |= USB_OTG_HC_XFERCM_INT | USB_OTG_HC_STALLM_INT | + USB_OTG_HC_XACTERRM_INT | USB_OTG_HC_NAKM_INT | + USB_OTG_HC_DTGLERRM_INT; + if(ept_num & 0x80) + { + hch->hcintmsk_bit.bblerrmsk = TRUE; + } + break; + case EPT_INT_TYPE: + hch->hcintmsk |= USB_OTG_HC_XFERCM_INT | USB_OTG_HC_STALLM_INT | + USB_OTG_HC_XACTERRM_INT | USB_OTG_HC_NAKM_INT | + USB_OTG_HC_DTGLERRM_INT | USB_OTG_HC_FRMOVRRUN_INT; + break; + case EPT_ISO_TYPE: + + hch->hcintmsk |= USB_OTG_HC_XFERCM_INT | USB_OTG_HC_ACKM_INT | + USB_OTG_HC_FRMOVRRUN_INT; + break; + } + usb_host->haintmsk |= 1 << chn; + usbx->gintmsk_bit.hchintmsk = TRUE; + + hch->hcchar_bit.devaddr = dev_address; + hch->hcchar_bit.eptnum = ept_num & 0x7F; + hch->hcchar_bit.eptdir = (ept_num & 0x80)?1:0; + hch->hcchar_bit.lspddev = (speed == USB_PRTSPD_LOW_SPEED)?1:0; + hch->hcchar_bit.eptype = type; + hch->hcchar_bit.mps = maxpacket; + + if(type == EPT_INT_TYPE) + { + hch->hcchar_bit.oddfrm = TRUE; + } +} + +/** + * @brief host read channel interrupt + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval interrupt flag + */ +uint32_t usb_hch_read_interrupt(otg_global_type *usbx) +{ + otg_host_type *usb_host = OTG_HOST(usbx); + return usb_host->haint & 0xFFFF; +} + +/** + * @brief disable host + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @retval none + */ +void usb_host_disable(otg_global_type *usbx) +{ + uint32_t i_index = 0, count = 0; + otg_hchannel_type *hch; + otg_host_type *usb_host = OTG_HOST(usbx); + + usbx->gahbcfg_bit.glbintmsk = FALSE; + usb_flush_rx_fifo(usbx); + usb_flush_tx_fifo(usbx, 0x10); + + for(i_index = 0; i_index < 16; i_index ++) + { + hch = USB_CHL(usbx, i_index); + hch->hcchar_bit.chdis = TRUE; + hch->hcchar_bit.chena = FALSE; + hch->hcchar_bit.eptdir = 0; + } + + for(i_index = 0; i_index < 16; i_index ++) + { + hch = USB_CHL(usbx, i_index); + hch->hcchar_bit.chdis = TRUE; + hch->hcchar_bit.chena = TRUE; + hch->hcchar_bit.eptdir = 0; + do + { + if(count ++ > 1000) + break; + }while(hch->hcchar_bit.chena); + } + usb_host->haint = 0xFFFFFFFF; + usbx->gintsts = 0xFFFFFFFF; + usbx->gahbcfg_bit.glbintmsk = TRUE; +} + +/** + * @brief halt channel + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param chn: channel number + * @retval none + */ +void usb_hch_halt(otg_global_type *usbx, uint8_t chn) +{ + uint32_t count = 0; + otg_hchannel_type *usb_chh = USB_CHL(usbx, chn); + otg_host_type *usb_host = OTG_HOST(usbx); + + /* endpoint type is control or bulk */ + if(usb_chh->hcchar_bit.eptype == EPT_CONTROL_TYPE || + usb_chh->hcchar_bit.eptype == EPT_BULK_TYPE) + { + usb_chh->hcchar_bit.chdis = TRUE; + if((usbx->gnptxsts_bit.nptxqspcavail) == 0) + { + usb_chh->hcchar_bit.chena = FALSE; + usb_chh->hcchar_bit.chena = TRUE; + do + { + if(count ++ > 1000) + break; + }while(usb_chh->hcchar_bit.chena == SET); + } + else + { + usb_chh->hcchar_bit.chena = TRUE; + } + } + else + { + usb_chh->hcchar_bit.chdis = TRUE; + if((usb_host->hptxsts_bit.ptxqspcavil) == 0) + { + usb_chh->hcchar_bit.chena = FALSE; + usb_chh->hcchar_bit.chena = TRUE; + do + { + if(count ++ > 1000) + break; + }while(usb_chh->hcchar_bit.chena == SET); + } + else + { + usb_chh->hcchar_bit.chena = TRUE; + } + } +} +/** + * @brief select full or low speed clock + * @param usbx: to select the otgfs peripheral. + * this parameter can be one of the following values: + * - OTG1_GLOBAL + * @param clk: clock frequency + * @retval none + */ +void usbh_fsls_clksel(otg_global_type *usbx, uint8_t clk) +{ + otg_host_type *usb_host = OTG_HOST(usbx); + + usb_host->hcfg_bit.fslspclksel = clk; + if(clk == USB_HCFG_CLK_6M) + { + usb_host->hfir = 6000; + } + else + { + usb_host->hfir = 48000; + } +} +#endif + + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_wdt.c b/Firmware/drivers/src/at32a423_wdt.c new file mode 100644 index 0000000..2c445a7 --- /dev/null +++ b/Firmware/drivers/src/at32a423_wdt.c @@ -0,0 +1,154 @@ +/** + ************************************************************************** + * @file at32a423_wdt.c + * @brief contains all the functions for the wdt firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup WDT + * @brief WDT driver modules + * @{ + */ + +#ifdef WDT_MODULE_ENABLED + +/** @defgroup WDT_private_functions + * @{ + */ + +/** + * @brief wdt enable ,the reload value will be sent to the counter + * @param none + * @retval none + */ +void wdt_enable(void) +{ + WDT->cmd = WDT_CMD_ENABLE; +} + +/** + * @brief reload wdt counter + * @param none + * @retval none + */ +void wdt_counter_reload(void) +{ + WDT->cmd = WDT_CMD_RELOAD; +} + +/** + * @brief set wdt counter reload value + * @param reload_value (0x0000~0x0FFF) + * @retval none + */ +void wdt_reload_value_set(uint16_t reload_value) +{ + WDT->rld = reload_value; +} + +/** + * @brief set wdt division divider + * @param division + * this parameter can be one of the following values: + * - WDT_CLK_DIV_4 + * - WDT_CLK_DIV_8 + * - WDT_CLK_DIV_16 + * - WDT_CLK_DIV_32 + * - WDT_CLK_DIV_64 + * - WDT_CLK_DIV_128 + * - WDT_CLK_DIV_256 + * @retval none + */ +void wdt_divider_set(wdt_division_type division) +{ + WDT->div_bit.div = division; +} + +/** + * @brief enable or disable wdt cmd register write + * @param new_state (TRUE or FALSE) + * @retval none + */ +void wdt_register_write_enable( confirm_state new_state) +{ + if(new_state == FALSE) + { + WDT->cmd = WDT_CMD_LOCK; + } + else + { + WDT->cmd = WDT_CMD_UNLOCK; + } +} + +/** + * @brief get wdt flag + * @param wdt_flag + * this parameter can be one of the following values: + * - WDT_DIVF_UPDATE_FLAG: division value update complete flag. + * - WDT_RLDF_UPDATE_FLAG: reload value update complete flag. + * - WDT_WINF_UPDATE_FLAG: window value update complete flag. + * @retval state of wdt flag + */ +flag_status wdt_flag_get(uint16_t wdt_flag) +{ + flag_status status = RESET; + + if ((WDT->sts & wdt_flag) != (uint16_t)RESET) + { + status = SET; + } + else + { + status = RESET; + } + + return status; +} + +/** + * @brief wdt window counter value set + * @param window_cnt (0x0000~0x0FFF) + * @retval none + */ +void wdt_window_counter_set(uint16_t window_cnt) +{ + WDT->win_bit.win = window_cnt; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_wwdt.c b/Firmware/drivers/src/at32a423_wwdt.c new file mode 100644 index 0000000..6db2db2 --- /dev/null +++ b/Firmware/drivers/src/at32a423_wwdt.c @@ -0,0 +1,149 @@ +/** + ************************************************************************** + * @file at32a423_wwdt.c + * @brief contains all the functions for the wwdt firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup WWDT + * @brief WWDT driver modules + * @{ + */ + +#ifdef WWDT_MODULE_ENABLED + +/** @defgroup WWDT_private_functions + * @{ + */ + +/** + * @brief wwdt reset by crm reset register + * @retval none + */ +void wwdt_reset(void) +{ + crm_periph_reset(CRM_WWDT_PERIPH_RESET, TRUE); + crm_periph_reset(CRM_WWDT_PERIPH_RESET, FALSE); +} + +/** + * @brief wwdt division set + * @param division + * this parameter can be one of the following values: + * - WWDT_PCLK1_DIV_4096 (wwdt counter clock = (pclk1/4096)/1) + * - WWDT_PCLK1_DIV_8192 (wwdt counter clock = (pclk1/4096)/2) + * - WWDT_PCLK1_DIV_16384 (wwdt counter clock = (pclk1/4096)/4) + * - WWDT_PCLK1_DIV_32768 (wwdt counter clock = (pclk1/4096)/8) + * @retval none + */ +void wwdt_divider_set(wwdt_division_type division) +{ + WWDT->cfg_bit.div = division; +} + +/** + * @brief wwdt reload counter interrupt flag clear + * @param none + * @retval none + */ +void wwdt_flag_clear(void) +{ + WWDT->sts = 0; +} + +/** + * @brief wwdt enable and the counter value load + * @param wwdt_cnt (0x40~0x7f) + * @retval none + */ +void wwdt_enable(uint8_t wwdt_cnt) +{ + WWDT->ctrl = wwdt_cnt | WWDT_EN_BIT; +} + +/** + * @brief wwdt reload counter interrupt enable + * @param none + * @retval none + */ +void wwdt_interrupt_enable(void) +{ + WWDT->cfg_bit.rldien = TRUE; +} + +/** + * @brief wwdt reload counter interrupt flag get + * @param none + * @retval state of reload counter interrupt flag + */ +flag_status wwdt_flag_get(void) +{ + return (flag_status)WWDT->sts_bit.rldf; +} + +/** + * @brief wwdt reload counter interrupt flag get + * @param none + * @retval state of reload counter interrupt flag + */ +flag_status wwdt_interrupt_flag_get(void) +{ + return (flag_status)(WWDT->sts_bit.rldf && WWDT->cfg_bit.rldien); +} + +/** + * @brief wwdt counter value set + * @param wwdt_cnt (0x40~0x7f) + * @retval none + */ +void wwdt_counter_set(uint8_t wwdt_cnt) +{ + WWDT->ctrl_bit.cnt = wwdt_cnt; +} + +/** + * @brief wwdt window counter value set + * @param window_cnt (0x40~0x7f) + * @retval none + */ +void wwdt_window_counter_set(uint8_t window_cnt) +{ + WWDT->cfg_bit.win = window_cnt; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Firmware/drivers/src/at32a423_xmc.c b/Firmware/drivers/src/at32a423_xmc.c new file mode 100644 index 0000000..31bc335 --- /dev/null +++ b/Firmware/drivers/src/at32a423_xmc.c @@ -0,0 +1,243 @@ +/** + ************************************************************************** + * @file at32a423_xmc.c + * @brief contains all the functions for the xmc firmware library + ************************************************************************** + * Copyright notice & Disclaimer + * + * The software Board Support Package (BSP) that is made available to + * download from Artery official website is the copyrighted work of Artery. + * Artery authorizes customers to use, copy, and distribute the BSP + * software and its related documentation for the purpose of design and + * development in conjunction with Artery microcontrollers. Use of the + * software is governed by this copyright notice and the following disclaimer. + * + * THIS SOFTWARE IS PROVIDED ON "AS IS" BASIS WITHOUT WARRANTIES, + * GUARANTEES OR REPRESENTATIONS OF ANY KIND. ARTERY EXPRESSLY DISCLAIMS, + * TO THE FULLEST EXTENT PERMITTED BY LAW, ALL EXPRESS, IMPLIED OR + * STATUTORY OR OTHER WARRANTIES, GUARANTEES OR REPRESENTATIONS, + * INCLUDING BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE, OR NON-INFRINGEMENT. + * + ************************************************************************** + */ + +#include "at32a423_conf.h" + +/** @addtogroup AT32A423_periph_driver + * @{ + */ + +/** @defgroup XMC + * @brief XMC driver modules + * @{ + */ + +#ifdef XMC_MODULE_ENABLED + +/** @defgroup XMC_private_functions + * @{ + */ + +/** + * @brief xmc nor or sram registers reset + * @param xmc_subbank + * this parameter can be one of the following values: + * - XMC_BANK1_NOR_SRAM1 + * - XMC_BANK1_NOR_SRAM2 + * - XMC_BANK1_NOR_SRAM3 + * - XMC_BANK1_NOR_SRAM4 + * @retval none + */ +void xmc_nor_sram_reset(xmc_nor_sram_subbank_type xmc_subbank) +{ + /* XMC_BANK1_NORSRAM1 */ + if(xmc_subbank == XMC_BANK1_NOR_SRAM1) + { + XMC_BANK1->ctrl_tmg_group[xmc_subbank].bk1ctrl = 0x000030DB; + } + /* XMC_BANK1_NORSRAM2, XMC_BANK1_NORSRAM3 or XMC_BANK1_NORSRAM4 */ + else + { + XMC_BANK1->ctrl_tmg_group[xmc_subbank].bk1ctrl = 0x000030D2; + } + XMC_BANK1->ctrl_tmg_group[xmc_subbank].bk1tmg = 0x0FFFFFFF; + XMC_BANK1->tmgwr_group[xmc_subbank].bk1tmgwr = 0x0FFFFFFF; +} + +/** + * @brief initialize the xmc nor/sram banks according to the specified + * parameters in the xmc_norsraminitstruct. + * @param xmc_norsram_init_struct : pointer to a xmc_norsram_init_type + * structure that contains the configuration information for + * the xmc nor/sram specified banks. + * @retval none + */ +void xmc_nor_sram_init(xmc_norsram_init_type* xmc_norsram_init_struct) +{ + /* bank1 nor/sram control register configuration */ + XMC_BANK1->ctrl_tmg_group[xmc_norsram_init_struct->subbank].bk1ctrl = + (uint32_t)xmc_norsram_init_struct->data_addr_multiplex | + xmc_norsram_init_struct->device | + xmc_norsram_init_struct->bus_type | + xmc_norsram_init_struct->burst_mode_enable | + xmc_norsram_init_struct->asynwait_enable | + xmc_norsram_init_struct->wait_signal_lv | + xmc_norsram_init_struct->wrapped_mode_enable | + xmc_norsram_init_struct->wait_signal_config | + xmc_norsram_init_struct->write_enable | + xmc_norsram_init_struct->wait_signal_enable | + xmc_norsram_init_struct->write_timing_enable | + xmc_norsram_init_struct->write_burst_syn; + + /* if nor flash device */ + if(xmc_norsram_init_struct->device == XMC_DEVICE_NOR) + { + XMC_BANK1->ctrl_tmg_group[xmc_norsram_init_struct->subbank].bk1ctrl_bit.noren = 0x1; + } +} + +/** + * @brief initialize the xmc nor/sram banks according to the specified + * parameters in the xmc_rw_timing_struct and xmc_w_timing_struct. + * @param xmc_rw_timing_struct : pointer to a xmc_norsram_timing_init_type + * structure that contains the configuration information for + * the xmc nor/sram specified banks. + * @param xmc_w_timing_struct : pointer to a xmc_norsram_timing_init_type + * structure that contains the configuration information for + * the xmc nor/sram specified banks. + * @retval none + */ +void xmc_nor_sram_timing_config(xmc_norsram_timing_init_type* xmc_rw_timing_struct, + xmc_norsram_timing_init_type* xmc_w_timing_struct) +{ + /* bank1 nor/sram timing register configuration */ + XMC_BANK1->ctrl_tmg_group[xmc_rw_timing_struct->subbank].bk1tmg = + (uint32_t)xmc_rw_timing_struct->addr_setup_time | + (xmc_rw_timing_struct->addr_hold_time << 4) | + (xmc_rw_timing_struct->data_setup_time << 8) | + (xmc_rw_timing_struct->bus_latency_time <<16) | + (xmc_rw_timing_struct->clk_psc << 20) | + (xmc_rw_timing_struct->data_latency_time << 24) | + xmc_rw_timing_struct->mode; + + /* bank1 nor/sram timing register for write configuration, if extended mode is used */ + if(xmc_rw_timing_struct->write_timing_enable == XMC_WRITE_TIMING_ENABLE) + { + XMC_BANK1->tmgwr_group[xmc_w_timing_struct->subbank].bk1tmgwr = + (uint32_t)xmc_w_timing_struct->addr_setup_time | + (xmc_w_timing_struct->addr_hold_time << 4) | + (xmc_w_timing_struct->data_setup_time << 8) | + (xmc_w_timing_struct->bus_latency_time << 16) | + (xmc_w_timing_struct->clk_psc << 20) | + (xmc_w_timing_struct->data_latency_time << 24) | + xmc_w_timing_struct->mode; + } + else + { + XMC_BANK1->tmgwr_group[xmc_w_timing_struct->subbank].bk1tmgwr = 0x0FFFFFFF; + } +} + +/** + * @brief fill each xmc_nor_sram_init_struct member with its default value. + * @param xmc_nor_sram_init_struct: pointer to a xmc_norsram_init_type + * structure which will be initialized. + * @retval none + */ +void xmc_norsram_default_para_init(xmc_norsram_init_type* xmc_nor_sram_init_struct) +{ + /* reset nor/sram init structure parameters values */ + xmc_nor_sram_init_struct->subbank = XMC_BANK1_NOR_SRAM1; + xmc_nor_sram_init_struct->data_addr_multiplex = XMC_DATA_ADDR_MUX_ENABLE; + xmc_nor_sram_init_struct->device = XMC_DEVICE_SRAM; + xmc_nor_sram_init_struct->bus_type = XMC_BUSTYPE_8_BITS; + xmc_nor_sram_init_struct->burst_mode_enable = XMC_BURST_MODE_DISABLE; + xmc_nor_sram_init_struct->asynwait_enable = XMC_ASYN_WAIT_DISABLE; + xmc_nor_sram_init_struct->wait_signal_lv = XMC_WAIT_SIGNAL_LEVEL_LOW; + xmc_nor_sram_init_struct->wrapped_mode_enable = XMC_WRAPPED_MODE_DISABLE; + xmc_nor_sram_init_struct->wait_signal_config = XMC_WAIT_SIGNAL_SYN_BEFORE; + xmc_nor_sram_init_struct->write_enable = XMC_WRITE_OPERATION_ENABLE; + xmc_nor_sram_init_struct->wait_signal_enable = XMC_WAIT_SIGNAL_ENABLE; + xmc_nor_sram_init_struct->write_timing_enable = XMC_WRITE_TIMING_DISABLE; + xmc_nor_sram_init_struct->write_burst_syn = XMC_WRITE_BURST_SYN_DISABLE; +} + +/** + * @brief fill each xmc_rw_timing_struct and xmc_w_timing_struct member with its default value. + * @param xmc_rw_timing_struct: pointer to a xmc_norsram_timing_init_type + * structure which will be initialized. + * @param xmc_w_timing_struct: pointer to a xmc_norsram_timing_init_type + * structure which will be initialized. + * @retval none + */ +void xmc_norsram_timing_default_para_init(xmc_norsram_timing_init_type* xmc_rw_timing_struct, + xmc_norsram_timing_init_type* xmc_w_timing_struct) +{ + xmc_rw_timing_struct->subbank = XMC_BANK1_NOR_SRAM1; + xmc_rw_timing_struct->write_timing_enable = XMC_WRITE_TIMING_DISABLE; + xmc_rw_timing_struct->addr_setup_time = 0xF; + xmc_rw_timing_struct->addr_hold_time = 0xF; + xmc_rw_timing_struct->data_setup_time = 0xFF; + xmc_rw_timing_struct->bus_latency_time = 0xF; + xmc_rw_timing_struct->clk_psc = 0xF; + xmc_rw_timing_struct->data_latency_time = 0xF; + xmc_rw_timing_struct->mode = XMC_ACCESS_MODE_A; + xmc_w_timing_struct->subbank = XMC_BANK1_NOR_SRAM1; + xmc_w_timing_struct->write_timing_enable = XMC_WRITE_TIMING_DISABLE; + xmc_w_timing_struct->addr_setup_time = 0xF; + xmc_w_timing_struct->addr_hold_time = 0xF; + xmc_w_timing_struct->data_setup_time = 0xFF; + xmc_w_timing_struct->bus_latency_time = 0xF; + xmc_w_timing_struct->clk_psc = 0xF; + xmc_w_timing_struct->data_latency_time = 0xF; + xmc_w_timing_struct->mode = XMC_ACCESS_MODE_A; +} + +/** + * @brief enable or disable the specified nor/sram memory bank. + * @param xmc_subbank + * this parameter can be one of the following values: + * - XMC_BANK1_NOR_SRAM1 + * - XMC_BANK1_NOR_SRAM2 + * - XMC_BANK1_NOR_SRAM3 + * - XMC_BANK1_NOR_SRAM4 + * @param new_state (TRUE or FALSE) + * @retval none + */ +void xmc_nor_sram_enable(xmc_nor_sram_subbank_type xmc_subbank, confirm_state new_state) +{ + XMC_BANK1->ctrl_tmg_group[xmc_subbank].bk1ctrl_bit.en = new_state; +} + +/** + * @brief config the bus turnaround phase. + * @param xmc_sub_bank + * this parameter can be one of the following values: + * - XMC_BANK1_NOR_SRAM1 + * - XMC_BANK1_NOR_SRAM2 + * - XMC_BANK1_NOR_SRAM3 + * - XMC_BANK1_NOR_SRAM4 + * @param w2w_timing :write timing + * @param r2r_timing :read timing + * @retval none + */ +void xmc_ext_timing_config(volatile xmc_nor_sram_subbank_type xmc_sub_bank, uint16_t w2w_timing, uint16_t r2r_timing) +{ + XMC_BANK1->ext_bit[xmc_sub_bank].buslatr2r = r2r_timing<<8; + XMC_BANK1->ext_bit[xmc_sub_bank].buslatw2w = w2w_timing; +} + +/** + * @} + */ + +#endif + +/** + * @} + */ + +/** + * @} + */ diff --git a/Lib/cali_process.c b/Lib/cali_process.c new file mode 100644 index 0000000..923dc4d --- /dev/null +++ b/Lib/cali_process.c @@ -0,0 +1,156 @@ +#include "cali_process.h" + +//ʵԭʹԲֵʽ y = y1 + (x-x1)*(y2-y1)/(x2-x1) +uint16_t linear_fuction_double_byte(uint16_t x, uint16_t x1, uint16_t x2, uint16_t y1, uint16_t y2) +{ + uint16_t y = 0; + uint32_t cal_y = 0; + if(x2==x1) return y1; + + if(x >= x1) + { + cal_y = (uint32_t)(x - x1) * (uint32_t)(y2 - y1) / (uint32_t)(x2 - x1) + y1; + if(cal_y > UINT16_MAX) + { + cal_y = UINT16_MAX; + } + y = (uint16_t)cal_y; + return y; + } + else + return 0; +} + +uint8_t linear_fuction_single_byte(uint16_t x, uint16_t x1, uint16_t x2, uint8_t y1, uint8_t y2) +{ + uint8_t y = 0; + uint32_t cal_y = 0; + if(x2==x1) return y1; + + if(x >= x1) + { + cal_y = (uint32_t)(x - x1) * (uint32_t)(y2 - y1) / (uint32_t)(x2 - x1) + y1; + if(cal_y > UINT8_MAX) + { + cal_y = UINT8_MAX; + } + y = (uint8_t)cal_y; + return y; + } + else + return 0; +} + + +void math_resi_cali(uint16_t *raw_value, CALI_INFO_T *cali_info, void *processed_value, uint16_t math_cali_buffer_size) +{ + uint8_t *processed_value_single_pointer = NULL; + uint16_t *processed_value_double_pointer = NULL; + + if(cali_info->cali_pressure_num < 2 || raw_value == NULL || cali_info == NULL || processed_value ==NULL || math_cali_buffer_size == 0) + { + return; + } + + switch(cali_info->cali_data_out_bit_size) + { + case UINT8_SINGLE: + processed_value_single_pointer = (uint8_t*)processed_value; + for(uint16_t count = 0; count < math_cali_buffer_size; ++count) + { + uint16_t min_press_idx = count; + uint16_t max_press_idx = count + (cali_info->cali_pressure_num - 1) * math_cali_buffer_size; + + if(raw_value[count] > cali_info->cali_params[max_press_idx]) + raw_value[count] = cali_info->cali_params[max_press_idx]; + if(raw_value[count] < cali_info->cali_params[min_press_idx]) + raw_value[count] = cali_info->cali_params[min_press_idx]; + + uint8_t found_flag = 0; + for(uint8_t press_idx = 0; press_idx < cali_info->cali_pressure_num-1; ++press_idx) + { + uint16_t current_press_idx = count + press_idx * math_cali_buffer_size; + uint16_t next_press_idx = count + (press_idx + 1) * math_cali_buffer_size; + + if(raw_value[count] >= cali_info->cali_params[current_press_idx] && raw_value[count] <= cali_info->cali_params[next_press_idx]) + { + if(raw_value[count] == cali_info->cali_params[current_press_idx]) { + processed_value_single_pointer[count] = cali_info->real_pressure_value[press_idx]; + } + else if(raw_value[count] == cali_info->cali_params[next_press_idx]) { + processed_value_single_pointer[count] = cali_info->real_pressure_value[press_idx + 1]; + } + else { + processed_value_single_pointer[count] = linear_fuction_single_byte( + raw_value[count], + cali_info->cali_params[current_press_idx], + cali_info->cali_params[next_press_idx], + cali_info->real_pressure_value[press_idx], + cali_info->real_pressure_value[press_idx + 1]); + } + found_flag = 1; + break; + } + } + + if(!found_flag) + { + processed_value_single_pointer[count] = cali_info->real_pressure_value[0]; + } + } + break; + + case UINT16_DOUBLE: + processed_value_double_pointer = (uint16_t*)processed_value; + for(uint16_t count = 0; count < math_cali_buffer_size; ++count) + { + uint16_t min_press_idx = count; + uint16_t max_press_idx = count + (cali_info->cali_pressure_num - 1) * math_cali_buffer_size; + + if(raw_value[count] > cali_info->cali_params[max_press_idx]) + raw_value[count] = cali_info->cali_params[max_press_idx]; + if(raw_value[count] < cali_info->cali_params[min_press_idx]) + raw_value[count] = cali_info->cali_params[min_press_idx]; + + uint8_t found_flag = 0; + for(uint8_t press_idx = 0; press_idx < cali_info->cali_pressure_num-1; ++press_idx) + { + uint16_t current_press_idx = count + press_idx * math_cali_buffer_size; + uint16_t next_press_idx = count + (press_idx + 1) * math_cali_buffer_size; + + if(raw_value[count] >= cali_info->cali_params[current_press_idx] && raw_value[count] <= cali_info->cali_params[next_press_idx]) + { + if(raw_value[count] == cali_info->cali_params[current_press_idx]) { + processed_value_double_pointer[count] = cali_info->real_pressure_value[press_idx]; + } + else if(raw_value[count] == cali_info->cali_params[next_press_idx]) { + processed_value_double_pointer[count] = cali_info->real_pressure_value[press_idx + 1]; + } + else + { + processed_value_double_pointer[count] = linear_fuction_double_byte( + raw_value[count], + cali_info->cali_params[current_press_idx], + cali_info->cali_params[next_press_idx], + cali_info->real_pressure_value[press_idx], + cali_info->real_pressure_value[press_idx + 1]); + } + found_flag = 1; + break; + } + } + + if(!found_flag) + { + processed_value_double_pointer[count] = cali_info->real_pressure_value[0]; + } + } + break; + + default: break; + } +} + + + + diff --git a/Lib/cali_process.h b/Lib/cali_process.h new file mode 100644 index 0000000..1c57cec --- /dev/null +++ b/Lib/cali_process.h @@ -0,0 +1,26 @@ +#ifndef _CALI_PROCESS_H +#define _CALI_PROCESS_H +#include +#include + +typedef enum{ + UINT8_SINGLE, + UINT16_DOUBLE +} OUT_DATA_BIT_SIZE_T; + +#pragma pack(1) +typedef struct{ + uint16_t *real_pressure_value; + uint16_t *cali_params; + uint8_t cali_pressure_num; + OUT_DATA_BIT_SIZE_T cali_data_out_bit_size; +} CALI_INFO_T; +#pragma pack() + + +void math_resi_cali(uint16_t *raw_value, CALI_INFO_T *cali_info, void *processed_value, uint16_t math_cali_buffer_size); + + + +#endif + diff --git a/Lib/resi_math_lib.h b/Lib/resi_math_lib.h new file mode 100644 index 0000000..2a82a53 --- /dev/null +++ b/Lib/resi_math_lib.h @@ -0,0 +1,60 @@ +#ifndef __RESI_MATH_LIB_H__ +#define __RESI_MATH_LIB_H__ +#include "main.h" +#include "stdint.h" +#include "string.h" + + +typedef struct { + uint16_t *sensor_adc_value; + uint16_t *resi_adc_value; + uint16_t math_number; +} math_resi_cal_t; + +typedef enum { + SCAN_HIGH_LEVEL, + SCAN_LOW_LEVEL +} SCAN_LEVEL_T; + +typedef enum { + RESI_BACKWARDS, + RESI_SCALE +} MATH_RESI_DISPLAY_TYPE_T; + +typedef enum { + SINGLE_BYTE, + DOUBLE_BYTE, +} DATA_BIT_SIZE_T; + +void math_resi_cali_once(math_resi_cal_t *math_resi_cal, + uint16_t *math_resi_buffer, + uint16_t math_resi_buffer_size, + SCAN_LEVEL_T scan_level); + +void math_display_resi(uint16_t *math_resi_buffer, + void *display_buffer, + uint16_t buffer_size, + MATH_RESI_DISPLAY_TYPE_T type, + DATA_BIT_SIZE_T data_bit_size); + +void math_resi_init(uint16_t max_display_resi_cal, + uint16_t min_display_resi_cal, + uint16_t resi_ref_value, + uint16_t adc_max_value, + uint16_t max_display); + + +void math_resi_init_single(uint16_t *max_display_resi_cal_single, + uint16_t *min_display_resi_cal_single, + uint16_t resi_ref_value, + uint16_t adc_max_value, + uint16_t max_display_value, + uint16_t array_len); + +void math_display_resi_single(uint16_t *math_resi_buffer, + void *display_buffer, + uint16_t buffer_size, + MATH_RESI_DISPLAY_TYPE_T type, + DATA_BIT_SIZE_T data_bit_size); + +#endif diff --git a/Lib/resi_math_lib.lib b/Lib/resi_math_lib.lib new file mode 100644 index 0000000000000000000000000000000000000000..30867d10fd7fe403a469d4efe8d6a582e12e209c GIT binary patch literal 19606 zcmds83v^q>nVx%P$%^eHj_o|it8$_QC&Z2=%dhZAWLdUFWLwyB5`xN&EX%RLwv7BB zNoniQKvGI6XGq^dr`E~T`k+t9M-w0pJ(cDF6;LZOeeOMpJehCX(4wrtt& zpF49OiWCfGdrmvYS2O?rfAjzU{4;m%%-rkRE0Vd?*i~iQJ@(XSA@#EL*W>ZEOT>XP z#@Hgp6!nd+gW5#$kd{kNXS7suoPo?tT1hU+rALJ{Ig;WP=91&HX@MTeOizs`4{MT_ zoR}KVj7oYUIWwk72x()SBQ0jM>|`o!;bkT>GmJ|)Zag#GklpTUZ3(pd+Zr2NJRWPC zec-f!=Yz0~N9RD= zHnGj8US&%i-#PWFvNZkO!0E+Z+fS#ypj=k>-N5S#^9n1wtbgYTcDC}!qi1)O9XLB*Mp#MDpPgUr?f)oHK1ffUeY~s^$n9}U>3U}&e>R{h_5 zUZ);=`P@-GGWzeiFO_sH?n1k3t6_QncQ>EjaC-At%lXO!&W7?Ij`GqLSbtCG(y>

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+#include +#include +#include +#include +#include +#include + +#ifdef ENABLE_LOCALES +#include +#endif + +#if defined(_MSC_VER) +#pragma warning (pop) +#endif +#ifdef __GNUC__ +#pragma GCC visibility pop +#endif + +#include "cJSON.h" + +/* define our own boolean type */ +#ifdef true +#undef true +#endif +#define true ((cJSON_bool)1) + +#ifdef false +#undef false +#endif +#define false ((cJSON_bool)0) + +/* define isnan and isinf for ANSI C, if in C99 or above, isnan and isinf has been defined in math.h */ +#ifndef isinf +#define isinf(d) (isnan((d - d)) && !isnan(d)) +#endif +#ifndef isnan +#define isnan(d) (d != d) +#endif + +#ifndef NAN +#ifdef _WIN32 +#define NAN sqrt(-1.0) +#else +#define NAN 0.0/0.0 +#endif +#endif + +typedef struct { + const unsigned char *json; + size_t position; +} error; +static error global_error = { NULL, 0 }; + +CJSON_PUBLIC(const char *) cJSON_GetErrorPtr(void) +{ + return (const char*) (global_error.json + global_error.position); +} + +CJSON_PUBLIC(char *) cJSON_GetStringValue(const cJSON * const item) +{ + if (!cJSON_IsString(item)) + { + return NULL; + } + + return item->valuestring; +} + +CJSON_PUBLIC(double) cJSON_GetNumberValue(const cJSON * const item) +{ + if (!cJSON_IsNumber(item)) + { + return (double) NAN; + } + + return item->valuedouble; +} + +/* This is a safeguard to prevent copy-pasters from using incompatible C and header files */ +#if (CJSON_VERSION_MAJOR != 1) || (CJSON_VERSION_MINOR != 7) || (CJSON_VERSION_PATCH != 18) + #error cJSON.h and cJSON.c have different versions. Make sure that both have the same. +#endif + +CJSON_PUBLIC(const char*) cJSON_Version(void) +{ + static char version[15]; + sprintf(version, "%i.%i.%i", CJSON_VERSION_MAJOR, CJSON_VERSION_MINOR, CJSON_VERSION_PATCH); + + return version; +} + +/* Case insensitive string comparison, doesn't consider two NULL pointers equal though */ +static int case_insensitive_strcmp(const unsigned char *string1, const unsigned char *string2) +{ + if ((string1 == NULL) || (string2 == NULL)) + { + return 1; + } + + if (string1 == string2) + { + return 0; + } + + for(; tolower(*string1) == tolower(*string2); (void)string1++, string2++) + { + if (*string1 == '\0') + { + return 0; + } + } + + return tolower(*string1) - tolower(*string2); +} + +typedef struct internal_hooks +{ + void *(CJSON_CDECL *allocate)(size_t size); + void (CJSON_CDECL *deallocate)(void *pointer); + void *(CJSON_CDECL *reallocate)(void *pointer, size_t size); +} internal_hooks; + +#if defined(_MSC_VER) +/* work around MSVC error C2322: '...' address of dllimport '...' is not static */ +static void * CJSON_CDECL internal_malloc(size_t size) +{ + return malloc(size); +} +static void CJSON_CDECL internal_free(void *pointer) +{ + free(pointer); +} +static void * CJSON_CDECL internal_realloc(void *pointer, size_t size) +{ + return realloc(pointer, size); +} +#else +#define internal_malloc malloc +#define internal_free free +#define internal_realloc realloc +#endif + +/* strlen of character literals resolved at compile time */ +#define static_strlen(string_literal) (sizeof(string_literal) - sizeof("")) + +static internal_hooks global_hooks = { internal_malloc, internal_free, internal_realloc }; + +static unsigned char* cJSON_strdup(const unsigned char* string, const internal_hooks * const hooks) +{ + size_t length = 0; + unsigned char *copy = NULL; + + if (string == NULL) + { + return NULL; + } + + length = strlen((const char*)string) + sizeof(""); + copy = (unsigned char*)hooks->allocate(length); + if (copy == NULL) + { + return NULL; + } + memcpy(copy, string, length); + + return copy; +} + +CJSON_PUBLIC(void) cJSON_InitHooks(cJSON_Hooks* hooks) +{ + if (hooks == NULL) + { + /* Reset hooks */ + global_hooks.allocate = malloc; + global_hooks.deallocate = free; + global_hooks.reallocate = realloc; + return; + } + + global_hooks.allocate = malloc; + if (hooks->malloc_fn != NULL) + { + global_hooks.allocate = hooks->malloc_fn; + } + + global_hooks.deallocate = free; + if (hooks->free_fn != NULL) + { + global_hooks.deallocate = hooks->free_fn; + } + + /* use realloc only if both free and malloc are used */ + global_hooks.reallocate = NULL; + if ((global_hooks.allocate == malloc) && (global_hooks.deallocate == free)) + { + global_hooks.reallocate = realloc; + } +} + +/* Internal constructor. */ +static cJSON *cJSON_New_Item(const internal_hooks * const hooks) +{ + cJSON* node = (cJSON*)hooks->allocate(sizeof(cJSON)); + if (node) + { + memset(node, '\0', sizeof(cJSON)); + } + + return node; +} + +/* Delete a cJSON structure. */ +CJSON_PUBLIC(void) cJSON_Delete(cJSON *item) +{ + cJSON *next = NULL; + while (item != NULL) + { + next = item->next; + if (!(item->type & cJSON_IsReference) && (item->child != NULL)) + { + cJSON_Delete(item->child); + } + if (!(item->type & cJSON_IsReference) && (item->valuestring != NULL)) + { + global_hooks.deallocate(item->valuestring); + item->valuestring = NULL; + } + if (!(item->type & cJSON_StringIsConst) && (item->string != NULL)) + { + global_hooks.deallocate(item->string); + item->string = NULL; + } + global_hooks.deallocate(item); + item = next; + } +} + +/* get the decimal point character of the current locale */ +static unsigned char get_decimal_point(void) +{ +#ifdef ENABLE_LOCALES + struct lconv *lconv = localeconv(); + return (unsigned char) lconv->decimal_point[0]; +#else + return '.'; +#endif +} + +typedef struct +{ + const unsigned char *content; + size_t length; + size_t offset; + size_t depth; /* How deeply nested (in arrays/objects) is the input at the current offset. */ + internal_hooks hooks; +} parse_buffer; + +/* check if the given size is left to read in a given parse buffer (starting with 1) */ +#define can_read(buffer, size) ((buffer != NULL) && (((buffer)->offset + size) <= (buffer)->length)) +/* check if the buffer can be accessed at the given index (starting with 0) */ +#define can_access_at_index(buffer, index) ((buffer != NULL) && (((buffer)->offset + index) < (buffer)->length)) +#define cannot_access_at_index(buffer, index) (!can_access_at_index(buffer, index)) +/* get a pointer to the buffer at the position */ +#define buffer_at_offset(buffer) ((buffer)->content + (buffer)->offset) + +/* Parse the input text to generate a number, and populate the result into item. */ +static cJSON_bool parse_number(cJSON * const item, parse_buffer * const input_buffer) +{ + double number = 0; + unsigned char *after_end = NULL; + unsigned char *number_c_string; + unsigned char decimal_point = get_decimal_point(); + size_t i = 0; + size_t number_string_length = 0; + cJSON_bool has_decimal_point = false; + + if ((input_buffer == NULL) || (input_buffer->content == NULL)) + { + return false; + } + + /* copy the number into a temporary buffer and replace '.' with the decimal point + * of the current locale (for strtod) + * This also takes care of '\0' not necessarily being available for marking the end of the input */ + for (i = 0; can_access_at_index(input_buffer, i); i++) + { + switch (buffer_at_offset(input_buffer)[i]) + { + case '0': + case '1': + case '2': + case '3': + case '4': + case '5': + case '6': + case '7': + case '8': + case '9': + case '+': + case '-': + case 'e': + case 'E': + number_string_length++; + break; + + case '.': + number_string_length++; + has_decimal_point = true; + break; + + default: + goto loop_end; + } + } +loop_end: + /* malloc for temporary buffer, add 1 for '\0' */ + number_c_string = (unsigned char *) input_buffer->hooks.allocate(number_string_length + 1); + if (number_c_string == NULL) + { + return false; /* allocation failure */ + } + + memcpy(number_c_string, buffer_at_offset(input_buffer), number_string_length); + number_c_string[number_string_length] = '\0'; + + if (has_decimal_point) + { + for (i = 0; i < number_string_length; i++) + { + if (number_c_string[i] == '.') + { + /* replace '.' with the decimal point of the current locale (for strtod) */ + number_c_string[i] = decimal_point; + } + } + } + + number = strtod((const char*)number_c_string, (char**)&after_end); + if (number_c_string == after_end) + { + /* free the temporary buffer */ + input_buffer->hooks.deallocate(number_c_string); + return false; /* parse_error */ + } + + item->valuedouble = number; + + /* use saturation in case of overflow */ + if (number >= INT_MAX) + { + item->valueint = INT_MAX; + } + else if (number <= (double)INT_MIN) + { + item->valueint = INT_MIN; + } + else + { + item->valueint = (int)number; + } + + item->type = cJSON_Number; + + input_buffer->offset += (size_t)(after_end - number_c_string); + /* free the temporary buffer */ + input_buffer->hooks.deallocate(number_c_string); + return true; +} + +/* don't ask me, but the original cJSON_SetNumberValue returns an integer or double */ +CJSON_PUBLIC(double) cJSON_SetNumberHelper(cJSON *object, double number) +{ + if (number >= INT_MAX) + { + object->valueint = INT_MAX; + } + else if (number <= (double)INT_MIN) + { + object->valueint = INT_MIN; + } + else + { + object->valueint = (int)number; + } + + return object->valuedouble = number; +} + +/* Note: when passing a NULL valuestring, cJSON_SetValuestring treats this as an error and return NULL */ +CJSON_PUBLIC(char*) cJSON_SetValuestring(cJSON *object, const char *valuestring) +{ + char *copy = NULL; + size_t v1_len; + size_t v2_len; + /* if object's type is not cJSON_String or is cJSON_IsReference, it should not set valuestring */ + if ((object == NULL) || !(object->type & cJSON_String) || (object->type & cJSON_IsReference)) + { + return NULL; + } + /* return NULL if the object is corrupted or valuestring is NULL */ + if (object->valuestring == NULL || valuestring == NULL) + { + return NULL; + } + + v1_len = strlen(valuestring); + v2_len = strlen(object->valuestring); + + if (v1_len <= v2_len) + { + /* strcpy does not handle overlapping string: [X1, X2] [Y1, Y2] => X2 < Y1 or Y2 < X1 */ + if (!( valuestring + v1_len < object->valuestring || object->valuestring + v2_len < valuestring )) + { + return NULL; + } + strcpy(object->valuestring, valuestring); + return object->valuestring; + } + copy = (char*) cJSON_strdup((const unsigned char*)valuestring, &global_hooks); + if (copy == NULL) + { + return NULL; + } + if (object->valuestring != NULL) + { + cJSON_free(object->valuestring); + } + object->valuestring = copy; + + return copy; +} + +typedef struct +{ + unsigned char *buffer; + size_t length; + size_t offset; + size_t depth; /* current nesting depth (for formatted printing) */ + cJSON_bool noalloc; + cJSON_bool format; /* is this print a formatted print */ + internal_hooks hooks; +} printbuffer; + +/* realloc printbuffer if necessary to have at least "needed" bytes more */ +static unsigned char* ensure(printbuffer * const p, size_t needed) +{ + unsigned char *newbuffer = NULL; + size_t newsize = 0; + + if ((p == NULL) || (p->buffer == NULL)) + { + return NULL; + } + + if ((p->length > 0) && (p->offset >= p->length)) + { + /* make sure that offset is valid */ + return NULL; + } + + if (needed > INT_MAX) + { + /* sizes bigger than INT_MAX are currently not supported */ + return NULL; + } + + needed += p->offset + 1; + if (needed <= p->length) + { + return p->buffer + p->offset; + } + + if (p->noalloc) { + return NULL; + } + + /* calculate new buffer size */ + if (needed > (INT_MAX / 2)) + { + /* overflow of int, use INT_MAX if possible */ + if (needed <= INT_MAX) + { + newsize = INT_MAX; + } + else + { + return NULL; + } + } + else + { + newsize = needed * 2; + } + + if (p->hooks.reallocate != NULL) + { + /* reallocate with realloc if available */ + newbuffer = (unsigned char*)p->hooks.reallocate(p->buffer, newsize); + if (newbuffer == NULL) + { + p->hooks.deallocate(p->buffer); + p->length = 0; + p->buffer = NULL; + + return NULL; + } + } + else + { + /* otherwise reallocate manually */ + newbuffer = (unsigned char*)p->hooks.allocate(newsize); + if (!newbuffer) + { + p->hooks.deallocate(p->buffer); + p->length = 0; + p->buffer = NULL; + + return NULL; + } + + memcpy(newbuffer, p->buffer, p->offset + 1); + p->hooks.deallocate(p->buffer); + } + p->length = newsize; + p->buffer = newbuffer; + + return newbuffer + p->offset; +} + +/* calculate the new length of the string in a printbuffer and update the offset */ +static void update_offset(printbuffer * const buffer) +{ + const unsigned char *buffer_pointer = NULL; + if ((buffer == NULL) || (buffer->buffer == NULL)) + { + return; + } + buffer_pointer = buffer->buffer + buffer->offset; + + buffer->offset += strlen((const char*)buffer_pointer); +} + +/* securely comparison of floating-point variables */ +static cJSON_bool compare_double(double a, double b) +{ + double maxVal = fabs(a) > fabs(b) ? fabs(a) : fabs(b); + return (fabs(a - b) <= maxVal * DBL_EPSILON); +} + +/* Render the number nicely from the given item into a string. */ +static cJSON_bool print_number(const cJSON * const item, printbuffer * const output_buffer) +{ + unsigned char *output_pointer = NULL; + double d = item->valuedouble; + int length = 0; + size_t i = 0; + unsigned char number_buffer[26] = {0}; /* temporary buffer to print the number into */ + unsigned char decimal_point = get_decimal_point(); + double test = 0.0; + + if (output_buffer == NULL) + { + return false; + } + + /* This checks for NaN and Infinity */ + if (isnan(d) || isinf(d)) + { + length = sprintf((char*)number_buffer, "null"); + } + else if(d == (double)item->valueint) + { + length = sprintf((char*)number_buffer, "%d", item->valueint); + } + else + { + /* Try 15 decimal places of precision to avoid nonsignificant nonzero digits */ + length = sprintf((char*)number_buffer, "%1.15g", d); + + /* Check whether the original double can be recovered */ + if ((sscanf((char*)number_buffer, "%lg", &test) != 1) || !compare_double((double)test, d)) + { + /* If not, print with 17 decimal places of precision */ + length = sprintf((char*)number_buffer, "%1.17g", d); + } + } + + /* sprintf failed or buffer overrun occurred */ + if ((length < 0) || (length > (int)(sizeof(number_buffer) - 1))) + { + return false; + } + + /* reserve appropriate space in the output */ + output_pointer = ensure(output_buffer, (size_t)length + sizeof("")); + if (output_pointer == NULL) + { + return false; + } + + /* copy the printed number to the output and replace locale + * dependent decimal point with '.' */ + for (i = 0; i < ((size_t)length); i++) + { + if (number_buffer[i] == decimal_point) + { + output_pointer[i] = '.'; + continue; + } + + output_pointer[i] = number_buffer[i]; + } + output_pointer[i] = '\0'; + + output_buffer->offset += (size_t)length; + + return true; +} + +/* parse 4 digit hexadecimal number */ +static unsigned parse_hex4(const unsigned char * const input) +{ + unsigned int h = 0; + size_t i = 0; + + for (i = 0; i < 4; i++) + { + /* parse digit */ + if ((input[i] >= '0') && (input[i] <= '9')) + { + h += (unsigned int) input[i] - '0'; + } + else if ((input[i] >= 'A') && (input[i] <= 'F')) + { + h += (unsigned int) 10 + input[i] - 'A'; + } + else if ((input[i] >= 'a') && (input[i] <= 'f')) + { + h += (unsigned int) 10 + input[i] - 'a'; + } + else /* invalid */ + { + return 0; + } + + if (i < 3) + { + /* shift left to make place for the next nibble */ + h = h << 4; + } + } + + return h; +} + +/* converts a UTF-16 literal to UTF-8 + * A literal can be one or two sequences of the form \uXXXX */ +static unsigned char utf16_literal_to_utf8(const unsigned char * const input_pointer, const unsigned char * const input_end, unsigned char **output_pointer) +{ + long unsigned int codepoint = 0; + unsigned int first_code = 0; + const unsigned char *first_sequence = input_pointer; + unsigned char utf8_length = 0; + unsigned char utf8_position = 0; + unsigned char sequence_length = 0; + unsigned char first_byte_mark = 0; + + if ((input_end - first_sequence) < 6) + { + /* input ends unexpectedly */ + goto fail; + } + + /* get the first utf16 sequence */ + first_code = parse_hex4(first_sequence + 2); + + /* check that the code is valid */ + if (((first_code >= 0xDC00) && (first_code <= 0xDFFF))) + { + goto fail; + } + + /* UTF16 surrogate pair */ + if ((first_code >= 0xD800) && (first_code <= 0xDBFF)) + { + const unsigned char *second_sequence = first_sequence + 6; + unsigned int second_code = 0; + sequence_length = 12; /* \uXXXX\uXXXX */ + + if ((input_end - second_sequence) < 6) + { + /* input ends unexpectedly */ + goto fail; + } + + if ((second_sequence[0] != '\\') || (second_sequence[1] != 'u')) + { + /* missing second half of the surrogate pair */ + goto fail; + } + + /* get the second utf16 sequence */ + second_code = parse_hex4(second_sequence + 2); + /* check that the code is valid */ + if ((second_code < 0xDC00) || (second_code > 0xDFFF)) + { + /* invalid second half of the surrogate pair */ + goto fail; + } + + + /* calculate the unicode codepoint from the surrogate pair */ + codepoint = 0x10000 + (((first_code & 0x3FF) << 10) | (second_code & 0x3FF)); + } + else + { + sequence_length = 6; /* \uXXXX */ + codepoint = first_code; + } + + /* encode as UTF-8 + * takes at maximum 4 bytes to encode: + * 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx */ + if (codepoint < 0x80) + { + /* normal ascii, encoding 0xxxxxxx */ + utf8_length = 1; + } + else if (codepoint < 0x800) + { + /* two bytes, encoding 110xxxxx 10xxxxxx */ + utf8_length = 2; + first_byte_mark = 0xC0; /* 11000000 */ + } + else if (codepoint < 0x10000) + { + /* three bytes, encoding 1110xxxx 10xxxxxx 10xxxxxx */ + utf8_length = 3; + first_byte_mark = 0xE0; /* 11100000 */ + } + else if (codepoint <= 0x10FFFF) + { + /* four bytes, encoding 1110xxxx 10xxxxxx 10xxxxxx 10xxxxxx */ + utf8_length = 4; + first_byte_mark = 0xF0; /* 11110000 */ + } + else + { + /* invalid unicode codepoint */ + goto fail; + } + + /* encode as utf8 */ + for (utf8_position = (unsigned char)(utf8_length - 1); utf8_position > 0; utf8_position--) + { + /* 10xxxxxx */ + (*output_pointer)[utf8_position] = (unsigned char)((codepoint | 0x80) & 0xBF); + codepoint >>= 6; + } + /* encode first byte */ + if (utf8_length > 1) + { + (*output_pointer)[0] = (unsigned char)((codepoint | first_byte_mark) & 0xFF); + } + else + { + (*output_pointer)[0] = (unsigned char)(codepoint & 0x7F); + } + + *output_pointer += utf8_length; + + return sequence_length; + +fail: + return 0; +} + +/* Parse the input text into an unescaped cinput, and populate item. */ +static cJSON_bool parse_string(cJSON * const item, parse_buffer * const input_buffer) +{ + const unsigned char *input_pointer = buffer_at_offset(input_buffer) + 1; + const unsigned char *input_end = buffer_at_offset(input_buffer) + 1; + unsigned char *output_pointer = NULL; + unsigned char *output = NULL; + + /* not a string */ + if (buffer_at_offset(input_buffer)[0] != '\"') + { + goto fail; + } + + { + /* calculate approximate size of the output (overestimate) */ + size_t allocation_length = 0; + size_t skipped_bytes = 0; + while (((size_t)(input_end - input_buffer->content) < input_buffer->length) && (*input_end != '\"')) + { + /* is escape sequence */ + if (input_end[0] == '\\') + { + if ((size_t)(input_end + 1 - input_buffer->content) >= input_buffer->length) + { + /* prevent buffer overflow when last input character is a backslash */ + goto fail; + } + skipped_bytes++; + input_end++; + } + input_end++; + } + if (((size_t)(input_end - input_buffer->content) >= input_buffer->length) || (*input_end != '\"')) + { + goto fail; /* string ended unexpectedly */ + } + + /* This is at most how much we need for the output */ + allocation_length = (size_t) (input_end - buffer_at_offset(input_buffer)) - skipped_bytes; + output = (unsigned char*)input_buffer->hooks.allocate(allocation_length + sizeof("")); + if (output == NULL) + { + goto fail; /* allocation failure */ + } + } + + output_pointer = output; + /* loop through the string literal */ + while (input_pointer < input_end) + { + if (*input_pointer != '\\') + { + *output_pointer++ = *input_pointer++; + } + /* escape sequence */ + else + { + unsigned char sequence_length = 2; + if ((input_end - input_pointer) < 1) + { + goto fail; + } + + switch (input_pointer[1]) + { + case 'b': + *output_pointer++ = '\b'; + break; + case 'f': + *output_pointer++ = '\f'; + break; + case 'n': + *output_pointer++ = '\n'; + break; + case 'r': + *output_pointer++ = '\r'; + break; + case 't': + *output_pointer++ = '\t'; + break; + case '\"': + case '\\': + case '/': + *output_pointer++ = input_pointer[1]; + break; + + /* UTF-16 literal */ + case 'u': + sequence_length = utf16_literal_to_utf8(input_pointer, input_end, &output_pointer); + if (sequence_length == 0) + { + /* failed to convert UTF16-literal to UTF-8 */ + goto fail; + } + break; + + default: + goto fail; + } + input_pointer += sequence_length; + } + } + + /* zero terminate the output */ + *output_pointer = '\0'; + + item->type = cJSON_String; + item->valuestring = (char*)output; + + input_buffer->offset = (size_t) (input_end - input_buffer->content); + input_buffer->offset++; + + return true; + +fail: + if (output != NULL) + { + input_buffer->hooks.deallocate(output); + output = NULL; + } + + if (input_pointer != NULL) + { + input_buffer->offset = (size_t)(input_pointer - input_buffer->content); + } + + return false; +} + +/* Render the cstring provided to an escaped version that can be printed. */ +static cJSON_bool print_string_ptr(const unsigned char * const input, printbuffer * const output_buffer) +{ + const unsigned char *input_pointer = NULL; + unsigned char *output = NULL; + unsigned char *output_pointer = NULL; + size_t output_length = 0; + /* numbers of additional characters needed for escaping */ + size_t escape_characters = 0; + + if (output_buffer == NULL) + { + return false; + } + + /* empty string */ + if (input == NULL) + { + output = ensure(output_buffer, sizeof("\"\"")); + if (output == NULL) + { + return false; + } + strcpy((char*)output, "\"\""); + + return true; + } + + /* set "flag" to 1 if something needs to be escaped */ + for (input_pointer = input; *input_pointer; input_pointer++) + { + switch (*input_pointer) + { + case '\"': + case '\\': + case '\b': + case '\f': + case '\n': + case '\r': + case '\t': + /* one character escape sequence */ + escape_characters++; + break; + default: + if (*input_pointer < 32) + { + /* UTF-16 escape sequence uXXXX */ + escape_characters += 5; + } + break; + } + } + output_length = (size_t)(input_pointer - input) + escape_characters; + + output = ensure(output_buffer, output_length + sizeof("\"\"")); + if (output == NULL) + { + return false; + } + + /* no characters have to be escaped */ + if (escape_characters == 0) + { + output[0] = '\"'; + memcpy(output + 1, input, output_length); + output[output_length + 1] = '\"'; + output[output_length + 2] = '\0'; + + return true; + } + + output[0] = '\"'; + output_pointer = output + 1; + /* copy the string */ + for (input_pointer = input; *input_pointer != '\0'; (void)input_pointer++, output_pointer++) + { + if ((*input_pointer > 31) && (*input_pointer != '\"') && (*input_pointer != '\\')) + { + /* normal character, copy */ + *output_pointer = *input_pointer; + } + else + { + /* character needs to be escaped */ + *output_pointer++ = '\\'; + switch (*input_pointer) + { + case '\\': + *output_pointer = '\\'; + break; + case '\"': + *output_pointer = '\"'; + break; + case '\b': + *output_pointer = 'b'; + break; + case '\f': + *output_pointer = 'f'; + break; + case '\n': + *output_pointer = 'n'; + break; + case '\r': + *output_pointer = 'r'; + break; + case '\t': + *output_pointer = 't'; + break; + default: + /* escape and print as unicode codepoint */ + sprintf((char*)output_pointer, "u%04x", *input_pointer); + output_pointer += 4; + break; + } + } + } + output[output_length + 1] = '\"'; + output[output_length + 2] = '\0'; + + return true; +} + +/* Invoke print_string_ptr (which is useful) on an item. */ +static cJSON_bool print_string(const cJSON * const item, printbuffer * const p) +{ + return print_string_ptr((unsigned char*)item->valuestring, p); +} + +/* Predeclare these prototypes. */ +static cJSON_bool parse_value(cJSON * const item, parse_buffer * const input_buffer); +static cJSON_bool print_value(const cJSON * const item, printbuffer * const output_buffer); +static cJSON_bool parse_array(cJSON * const item, parse_buffer * const input_buffer); +static cJSON_bool print_array(const cJSON * const item, printbuffer * const output_buffer); +static cJSON_bool parse_object(cJSON * const item, parse_buffer * const input_buffer); +static cJSON_bool print_object(const cJSON * const item, printbuffer * const output_buffer); + +/* Utility to jump whitespace and cr/lf */ +static parse_buffer *buffer_skip_whitespace(parse_buffer * const buffer) +{ + if ((buffer == NULL) || (buffer->content == NULL)) + { + return NULL; + } + + if (cannot_access_at_index(buffer, 0)) + { + return buffer; + } + + while (can_access_at_index(buffer, 0) && (buffer_at_offset(buffer)[0] <= 32)) + { + buffer->offset++; + } + + if (buffer->offset == buffer->length) + { + buffer->offset--; + } + + return buffer; +} + +/* skip the UTF-8 BOM (byte order mark) if it is at the beginning of a buffer */ +static parse_buffer *skip_utf8_bom(parse_buffer * const buffer) +{ + if ((buffer == NULL) || (buffer->content == NULL) || (buffer->offset != 0)) + { + return NULL; + } + + if (can_access_at_index(buffer, 4) && (strncmp((const char*)buffer_at_offset(buffer), "\xEF\xBB\xBF", 3) == 0)) + { + buffer->offset += 3; + } + + return buffer; +} + +CJSON_PUBLIC(cJSON *) cJSON_ParseWithOpts(const char *value, const char **return_parse_end, cJSON_bool require_null_terminated) +{ + size_t buffer_length; + + if (NULL == value) + { + return NULL; + } + + /* Adding null character size due to require_null_terminated. */ + buffer_length = strlen(value) + sizeof(""); + + return cJSON_ParseWithLengthOpts(value, buffer_length, return_parse_end, require_null_terminated); +} + +/* Parse an object - create a new root, and populate. */ +CJSON_PUBLIC(cJSON *) cJSON_ParseWithLengthOpts(const char *value, size_t buffer_length, const char **return_parse_end, cJSON_bool require_null_terminated) +{ + parse_buffer buffer = { 0, 0, 0, 0, { 0, 0, 0 } }; + cJSON *item = NULL; + + /* reset error position */ + global_error.json = NULL; + global_error.position = 0; + + if (value == NULL || 0 == buffer_length) + { + goto fail; + } + + buffer.content = (const unsigned char*)value; + buffer.length = buffer_length; + buffer.offset = 0; + buffer.hooks = global_hooks; + + item = cJSON_New_Item(&global_hooks); + if (item == NULL) /* memory fail */ + { + goto fail; + } + + if (!parse_value(item, buffer_skip_whitespace(skip_utf8_bom(&buffer)))) + { + /* parse failure. ep is set. */ + goto fail; + } + + /* if we require null-terminated JSON without appended garbage, skip and then check for a null terminator */ + if (require_null_terminated) + { + buffer_skip_whitespace(&buffer); + if ((buffer.offset >= buffer.length) || buffer_at_offset(&buffer)[0] != '\0') + { + goto fail; + } + } + if (return_parse_end) + { + *return_parse_end = (const char*)buffer_at_offset(&buffer); + } + + return item; + +fail: + if (item != NULL) + { + cJSON_Delete(item); + } + + if (value != NULL) + { + error local_error; + local_error.json = (const unsigned char*)value; + local_error.position = 0; + + if (buffer.offset < buffer.length) + { + local_error.position = buffer.offset; + } + else if (buffer.length > 0) + { + local_error.position = buffer.length - 1; + } + + if (return_parse_end != NULL) + { + *return_parse_end = (const char*)local_error.json + local_error.position; + } + + global_error = local_error; + } + + return NULL; +} + +/* Default options for cJSON_Parse */ +CJSON_PUBLIC(cJSON *) cJSON_Parse(const char *value) +{ + return cJSON_ParseWithOpts(value, 0, 0); +} + +CJSON_PUBLIC(cJSON *) cJSON_ParseWithLength(const char *value, size_t buffer_length) +{ + return cJSON_ParseWithLengthOpts(value, buffer_length, 0, 0); +} + +#define cjson_min(a, b) (((a) < (b)) ? (a) : (b)) + +static unsigned char *print(const cJSON * const item, cJSON_bool format, const internal_hooks * const hooks) +{ + static const size_t default_buffer_size = 256; + printbuffer buffer[1]; + unsigned char *printed = NULL; + + memset(buffer, 0, sizeof(buffer)); + + /* create buffer */ + buffer->buffer = (unsigned char*) hooks->allocate(default_buffer_size); + buffer->length = default_buffer_size; + buffer->format = format; + buffer->hooks = *hooks; + if (buffer->buffer == NULL) + { + goto fail; + } + + /* print the value */ + if (!print_value(item, buffer)) + { + goto fail; + } + update_offset(buffer); + + /* check if reallocate is available */ + if (hooks->reallocate != NULL) + { + printed = (unsigned char*) hooks->reallocate(buffer->buffer, buffer->offset + 1); + if (printed == NULL) { + goto fail; + } + buffer->buffer = NULL; + } + else /* otherwise copy the JSON over to a new buffer */ + { + printed = (unsigned char*) hooks->allocate(buffer->offset + 1); + if (printed == NULL) + { + goto fail; + } + memcpy(printed, buffer->buffer, cjson_min(buffer->length, buffer->offset + 1)); + printed[buffer->offset] = '\0'; /* just to be sure */ + + /* free the buffer */ + hooks->deallocate(buffer->buffer); + buffer->buffer = NULL; + } + + return printed; + +fail: + if (buffer->buffer != NULL) + { + hooks->deallocate(buffer->buffer); + buffer->buffer = NULL; + } + + if (printed != NULL) + { + hooks->deallocate(printed); + printed = NULL; + } + + return NULL; +} + +/* Render a cJSON item/entity/structure to text. */ +CJSON_PUBLIC(char *) cJSON_Print(const cJSON *item) +{ + return (char*)print(item, true, &global_hooks); +} + +CJSON_PUBLIC(char *) cJSON_PrintUnformatted(const cJSON *item) +{ + return (char*)print(item, false, &global_hooks); +} + +CJSON_PUBLIC(char *) cJSON_PrintBuffered(const cJSON *item, int prebuffer, cJSON_bool fmt) +{ + printbuffer p = { 0, 0, 0, 0, 0, 0, { 0, 0, 0 } }; + + if (prebuffer < 0) + { + return NULL; + } + + p.buffer = (unsigned char*)global_hooks.allocate((size_t)prebuffer); + if (!p.buffer) + { + return NULL; + } + + p.length = (size_t)prebuffer; + p.offset = 0; + p.noalloc = false; + p.format = fmt; + p.hooks = global_hooks; + + if (!print_value(item, &p)) + { + global_hooks.deallocate(p.buffer); + p.buffer = NULL; + return NULL; + } + + return (char*)p.buffer; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_PrintPreallocated(cJSON *item, char *buffer, const int length, const cJSON_bool format) +{ + printbuffer p = { 0, 0, 0, 0, 0, 0, { 0, 0, 0 } }; + + if ((length < 0) || (buffer == NULL)) + { + return false; + } + + p.buffer = (unsigned char*)buffer; + p.length = (size_t)length; + p.offset = 0; + p.noalloc = true; + p.format = format; + p.hooks = global_hooks; + + return print_value(item, &p); +} + +/* Parser core - when encountering text, process appropriately. */ +static cJSON_bool parse_value(cJSON * const item, parse_buffer * const input_buffer) +{ + if ((input_buffer == NULL) || (input_buffer->content == NULL)) + { + return false; /* no input */ + } + + /* parse the different types of values */ + /* null */ + if (can_read(input_buffer, 4) && (strncmp((const char*)buffer_at_offset(input_buffer), "null", 4) == 0)) + { + item->type = cJSON_NULL; + input_buffer->offset += 4; + return true; + } + /* false */ + if (can_read(input_buffer, 5) && (strncmp((const char*)buffer_at_offset(input_buffer), "false", 5) == 0)) + { + item->type = cJSON_False; + input_buffer->offset += 5; + return true; + } + /* true */ + if (can_read(input_buffer, 4) && (strncmp((const char*)buffer_at_offset(input_buffer), "true", 4) == 0)) + { + item->type = cJSON_True; + item->valueint = 1; + input_buffer->offset += 4; + return true; + } + /* string */ + if (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == '\"')) + { + return parse_string(item, input_buffer); + } + /* number */ + if (can_access_at_index(input_buffer, 0) && ((buffer_at_offset(input_buffer)[0] == '-') || ((buffer_at_offset(input_buffer)[0] >= '0') && (buffer_at_offset(input_buffer)[0] <= '9')))) + { + return parse_number(item, input_buffer); + } + /* array */ + if (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == '[')) + { + return parse_array(item, input_buffer); + } + /* object */ + if (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == '{')) + { + return parse_object(item, input_buffer); + } + + return false; +} + +/* Render a value to text. */ +static cJSON_bool print_value(const cJSON * const item, printbuffer * const output_buffer) +{ + unsigned char *output = NULL; + + if ((item == NULL) || (output_buffer == NULL)) + { + return false; + } + + switch ((item->type) & 0xFF) + { + case cJSON_NULL: + output = ensure(output_buffer, 5); + if (output == NULL) + { + return false; + } + strcpy((char*)output, "null"); + return true; + + case cJSON_False: + output = ensure(output_buffer, 6); + if (output == NULL) + { + return false; + } + strcpy((char*)output, "false"); + return true; + + case cJSON_True: + output = ensure(output_buffer, 5); + if (output == NULL) + { + return false; + } + strcpy((char*)output, "true"); + return true; + + case cJSON_Number: + return print_number(item, output_buffer); + + case cJSON_Raw: + { + size_t raw_length = 0; + if (item->valuestring == NULL) + { + return false; + } + + raw_length = strlen(item->valuestring) + sizeof(""); + output = ensure(output_buffer, raw_length); + if (output == NULL) + { + return false; + } + memcpy(output, item->valuestring, raw_length); + return true; + } + + case cJSON_String: + return print_string(item, output_buffer); + + case cJSON_Array: + return print_array(item, output_buffer); + + case cJSON_Object: + return print_object(item, output_buffer); + + default: + return false; + } +} + +/* Build an array from input text. */ +static cJSON_bool parse_array(cJSON * const item, parse_buffer * const input_buffer) +{ + cJSON *head = NULL; /* head of the linked list */ + cJSON *current_item = NULL; + + if (input_buffer->depth >= CJSON_NESTING_LIMIT) + { + return false; /* to deeply nested */ + } + input_buffer->depth++; + + if (buffer_at_offset(input_buffer)[0] != '[') + { + /* not an array */ + goto fail; + } + + input_buffer->offset++; + buffer_skip_whitespace(input_buffer); + if (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == ']')) + { + /* empty array */ + goto success; + } + + /* check if we skipped to the end of the buffer */ + if (cannot_access_at_index(input_buffer, 0)) + { + input_buffer->offset--; + goto fail; + } + + /* step back to character in front of the first element */ + input_buffer->offset--; + /* loop through the comma separated array elements */ + do + { + /* allocate next item */ + cJSON *new_item = cJSON_New_Item(&(input_buffer->hooks)); + if (new_item == NULL) + { + goto fail; /* allocation failure */ + } + + /* attach next item to list */ + if (head == NULL) + { + /* start the linked list */ + current_item = head = new_item; + } + else + { + /* add to the end and advance */ + current_item->next = new_item; + new_item->prev = current_item; + current_item = new_item; + } + + /* parse next value */ + input_buffer->offset++; + buffer_skip_whitespace(input_buffer); + if (!parse_value(current_item, input_buffer)) + { + goto fail; /* failed to parse value */ + } + buffer_skip_whitespace(input_buffer); + } + while (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == ',')); + + if (cannot_access_at_index(input_buffer, 0) || buffer_at_offset(input_buffer)[0] != ']') + { + goto fail; /* expected end of array */ + } + +success: + input_buffer->depth--; + + if (head != NULL) { + head->prev = current_item; + } + + item->type = cJSON_Array; + item->child = head; + + input_buffer->offset++; + + return true; + +fail: + if (head != NULL) + { + cJSON_Delete(head); + } + + return false; +} + +/* Render an array to text */ +static cJSON_bool print_array(const cJSON * const item, printbuffer * const output_buffer) +{ + unsigned char *output_pointer = NULL; + size_t length = 0; + cJSON *current_element = item->child; + + if (output_buffer == NULL) + { + return false; + } + + /* Compose the output array. */ + /* opening square bracket */ + output_pointer = ensure(output_buffer, 1); + if (output_pointer == NULL) + { + return false; + } + + *output_pointer = '['; + output_buffer->offset++; + output_buffer->depth++; + + while (current_element != NULL) + { + if (!print_value(current_element, output_buffer)) + { + return false; + } + update_offset(output_buffer); + if (current_element->next) + { + length = (size_t) (output_buffer->format ? 2 : 1); + output_pointer = ensure(output_buffer, length + 1); + if (output_pointer == NULL) + { + return false; + } + *output_pointer++ = ','; + if(output_buffer->format) + { + *output_pointer++ = ' '; + } + *output_pointer = '\0'; + output_buffer->offset += length; + } + current_element = current_element->next; + } + + output_pointer = ensure(output_buffer, 2); + if (output_pointer == NULL) + { + return false; + } + *output_pointer++ = ']'; + *output_pointer = '\0'; + output_buffer->depth--; + + return true; +} + +/* Build an object from the text. */ +static cJSON_bool parse_object(cJSON * const item, parse_buffer * const input_buffer) +{ + cJSON *head = NULL; /* linked list head */ + cJSON *current_item = NULL; + + if (input_buffer->depth >= CJSON_NESTING_LIMIT) + { + return false; /* to deeply nested */ + } + input_buffer->depth++; + + if (cannot_access_at_index(input_buffer, 0) || (buffer_at_offset(input_buffer)[0] != '{')) + { + goto fail; /* not an object */ + } + + input_buffer->offset++; + buffer_skip_whitespace(input_buffer); + if (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == '}')) + { + goto success; /* empty object */ + } + + /* check if we skipped to the end of the buffer */ + if (cannot_access_at_index(input_buffer, 0)) + { + input_buffer->offset--; + goto fail; + } + + /* step back to character in front of the first element */ + input_buffer->offset--; + /* loop through the comma separated array elements */ + do + { + /* allocate next item */ + cJSON *new_item = cJSON_New_Item(&(input_buffer->hooks)); + if (new_item == NULL) + { + goto fail; /* allocation failure */ + } + + /* attach next item to list */ + if (head == NULL) + { + /* start the linked list */ + current_item = head = new_item; + } + else + { + /* add to the end and advance */ + current_item->next = new_item; + new_item->prev = current_item; + current_item = new_item; + } + + if (cannot_access_at_index(input_buffer, 1)) + { + goto fail; /* nothing comes after the comma */ + } + + /* parse the name of the child */ + input_buffer->offset++; + buffer_skip_whitespace(input_buffer); + if (!parse_string(current_item, input_buffer)) + { + goto fail; /* failed to parse name */ + } + buffer_skip_whitespace(input_buffer); + + /* swap valuestring and string, because we parsed the name */ + current_item->string = current_item->valuestring; + current_item->valuestring = NULL; + + if (cannot_access_at_index(input_buffer, 0) || (buffer_at_offset(input_buffer)[0] != ':')) + { + goto fail; /* invalid object */ + } + + /* parse the value */ + input_buffer->offset++; + buffer_skip_whitespace(input_buffer); + if (!parse_value(current_item, input_buffer)) + { + goto fail; /* failed to parse value */ + } + buffer_skip_whitespace(input_buffer); + } + while (can_access_at_index(input_buffer, 0) && (buffer_at_offset(input_buffer)[0] == ',')); + + if (cannot_access_at_index(input_buffer, 0) || (buffer_at_offset(input_buffer)[0] != '}')) + { + goto fail; /* expected end of object */ + } + +success: + input_buffer->depth--; + + if (head != NULL) { + head->prev = current_item; + } + + item->type = cJSON_Object; + item->child = head; + + input_buffer->offset++; + return true; + +fail: + if (head != NULL) + { + cJSON_Delete(head); + } + + return false; +} + +/* Render an object to text. */ +static cJSON_bool print_object(const cJSON * const item, printbuffer * const output_buffer) +{ + unsigned char *output_pointer = NULL; + size_t length = 0; + cJSON *current_item = item->child; + + if (output_buffer == NULL) + { + return false; + } + + /* Compose the output: */ + length = (size_t) (output_buffer->format ? 2 : 1); /* fmt: {\n */ + output_pointer = ensure(output_buffer, length + 1); + if (output_pointer == NULL) + { + return false; + } + + *output_pointer++ = '{'; + output_buffer->depth++; + if (output_buffer->format) + { + *output_pointer++ = '\n'; + } + output_buffer->offset += length; + + while (current_item) + { + if (output_buffer->format) + { + size_t i; + output_pointer = ensure(output_buffer, output_buffer->depth); + if (output_pointer == NULL) + { + return false; + } + for (i = 0; i < output_buffer->depth; i++) + { + *output_pointer++ = '\t'; + } + output_buffer->offset += output_buffer->depth; + } + + /* print key */ + if (!print_string_ptr((unsigned char*)current_item->string, output_buffer)) + { + return false; + } + update_offset(output_buffer); + + length = (size_t) (output_buffer->format ? 2 : 1); + output_pointer = ensure(output_buffer, length); + if (output_pointer == NULL) + { + return false; + } + *output_pointer++ = ':'; + if (output_buffer->format) + { + *output_pointer++ = '\t'; + } + output_buffer->offset += length; + + /* print value */ + if (!print_value(current_item, output_buffer)) + { + return false; + } + update_offset(output_buffer); + + /* print comma if not last */ + length = ((size_t)(output_buffer->format ? 1 : 0) + (size_t)(current_item->next ? 1 : 0)); + output_pointer = ensure(output_buffer, length + 1); + if (output_pointer == NULL) + { + return false; + } + if (current_item->next) + { + *output_pointer++ = ','; + } + + if (output_buffer->format) + { + *output_pointer++ = '\n'; + } + *output_pointer = '\0'; + output_buffer->offset += length; + + current_item = current_item->next; + } + + output_pointer = ensure(output_buffer, output_buffer->format ? (output_buffer->depth + 1) : 2); + if (output_pointer == NULL) + { + return false; + } + if (output_buffer->format) + { + size_t i; + for (i = 0; i < (output_buffer->depth - 1); i++) + { + *output_pointer++ = '\t'; + } + } + *output_pointer++ = '}'; + *output_pointer = '\0'; + output_buffer->depth--; + + return true; +} + +/* Get Array size/item / object item. */ +CJSON_PUBLIC(int) cJSON_GetArraySize(const cJSON *array) +{ + cJSON *child = NULL; + size_t size = 0; + + if (array == NULL) + { + return 0; + } + + child = array->child; + + while(child != NULL) + { + size++; + child = child->next; + } + + /* FIXME: Can overflow here. Cannot be fixed without breaking the API */ + + return (int)size; +} + +static cJSON* get_array_item(const cJSON *array, size_t index) +{ + cJSON *current_child = NULL; + + if (array == NULL) + { + return NULL; + } + + current_child = array->child; + while ((current_child != NULL) && (index > 0)) + { + index--; + current_child = current_child->next; + } + + return current_child; +} + +CJSON_PUBLIC(cJSON *) cJSON_GetArrayItem(const cJSON *array, int index) +{ + if (index < 0) + { + return NULL; + } + + return get_array_item(array, (size_t)index); +} + +static cJSON *get_object_item(const cJSON * const object, const char * const name, const cJSON_bool case_sensitive) +{ + cJSON *current_element = NULL; + + if ((object == NULL) || (name == NULL)) + { + return NULL; + } + + current_element = object->child; + if (case_sensitive) + { + while ((current_element != NULL) && (current_element->string != NULL) && (strcmp(name, current_element->string) != 0)) + { + current_element = current_element->next; + } + } + else + { + while ((current_element != NULL) && (case_insensitive_strcmp((const unsigned char*)name, (const unsigned char*)(current_element->string)) != 0)) + { + current_element = current_element->next; + } + } + + if ((current_element == NULL) || (current_element->string == NULL)) { + return NULL; + } + + return current_element; +} + +CJSON_PUBLIC(cJSON *) cJSON_GetObjectItem(const cJSON * const object, const char * const string) +{ + return get_object_item(object, string, false); +} + +CJSON_PUBLIC(cJSON *) cJSON_GetObjectItemCaseSensitive(const cJSON * const object, const char * const string) +{ + return get_object_item(object, string, true); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_HasObjectItem(const cJSON *object, const char *string) +{ + return cJSON_GetObjectItem(object, string) ? 1 : 0; +} + +/* Utility for array list handling. */ +static void suffix_object(cJSON *prev, cJSON *item) +{ + prev->next = item; + item->prev = prev; +} + +/* Utility for handling references. */ +static cJSON *create_reference(const cJSON *item, const internal_hooks * const hooks) +{ + cJSON *reference = NULL; + if (item == NULL) + { + return NULL; + } + + reference = cJSON_New_Item(hooks); + if (reference == NULL) + { + return NULL; + } + + memcpy(reference, item, sizeof(cJSON)); + reference->string = NULL; + reference->type |= cJSON_IsReference; + reference->next = reference->prev = NULL; + return reference; +} + +static cJSON_bool add_item_to_array(cJSON *array, cJSON *item) +{ + cJSON *child = NULL; + + if ((item == NULL) || (array == NULL) || (array == item)) + { + return false; + } + + child = array->child; + /* + * To find the last item in array quickly, we use prev in array + */ + if (child == NULL) + { + /* list is empty, start new one */ + array->child = item; + item->prev = item; + item->next = NULL; + } + else + { + /* append to the end */ + if (child->prev) + { + suffix_object(child->prev, item); + array->child->prev = item; + } + } + + return true; +} + +/* Add item to array/object. */ +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToArray(cJSON *array, cJSON *item) +{ + return add_item_to_array(array, item); +} + +#if defined(__clang__) || (defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ > 5)))) + #pragma GCC diagnostic push +#endif +#ifdef __GNUC__ +#pragma GCC diagnostic ignored "-Wcast-qual" +#endif +/* helper function to cast away const */ +static void* cast_away_const(const void* string) +{ + return (void*)string; +} +#if defined(__clang__) || (defined(__GNUC__) && ((__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ > 5)))) + #pragma GCC diagnostic pop +#endif + + +static cJSON_bool add_item_to_object(cJSON * const object, const char * const string, cJSON * const item, const internal_hooks * const hooks, const cJSON_bool constant_key) +{ + char *new_key = NULL; + int new_type = cJSON_Invalid; + + if ((object == NULL) || (string == NULL) || (item == NULL) || (object == item)) + { + return false; + } + + if (constant_key) + { + new_key = (char*)cast_away_const(string); + new_type = item->type | cJSON_StringIsConst; + } + else + { + new_key = (char*)cJSON_strdup((const unsigned char*)string, hooks); + if (new_key == NULL) + { + return false; + } + + new_type = item->type & ~cJSON_StringIsConst; + } + + if (!(item->type & cJSON_StringIsConst) && (item->string != NULL)) + { + hooks->deallocate(item->string); + } + + item->string = new_key; + item->type = new_type; + + return add_item_to_array(object, item); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToObject(cJSON *object, const char *string, cJSON *item) +{ + return add_item_to_object(object, string, item, &global_hooks, false); +} + +/* Add an item to an object with constant string as key */ +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToObjectCS(cJSON *object, const char *string, cJSON *item) +{ + return add_item_to_object(object, string, item, &global_hooks, true); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemReferenceToArray(cJSON *array, cJSON *item) +{ + if (array == NULL) + { + return false; + } + + return add_item_to_array(array, create_reference(item, &global_hooks)); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemReferenceToObject(cJSON *object, const char *string, cJSON *item) +{ + if ((object == NULL) || (string == NULL)) + { + return false; + } + + return add_item_to_object(object, string, create_reference(item, &global_hooks), &global_hooks, false); +} + +CJSON_PUBLIC(cJSON*) cJSON_AddNullToObject(cJSON * const object, const char * const name) +{ + cJSON *null = cJSON_CreateNull(); + if (add_item_to_object(object, name, null, &global_hooks, false)) + { + return null; + } + + cJSON_Delete(null); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddTrueToObject(cJSON * const object, const char * const name) +{ + cJSON *true_item = cJSON_CreateTrue(); + if (add_item_to_object(object, name, true_item, &global_hooks, false)) + { + return true_item; + } + + cJSON_Delete(true_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddFalseToObject(cJSON * const object, const char * const name) +{ + cJSON *false_item = cJSON_CreateFalse(); + if (add_item_to_object(object, name, false_item, &global_hooks, false)) + { + return false_item; + } + + cJSON_Delete(false_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddBoolToObject(cJSON * const object, const char * const name, const cJSON_bool boolean) +{ + cJSON *bool_item = cJSON_CreateBool(boolean); + if (add_item_to_object(object, name, bool_item, &global_hooks, false)) + { + return bool_item; + } + + cJSON_Delete(bool_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddNumberToObject(cJSON * const object, const char * const name, const double number) +{ + cJSON *number_item = cJSON_CreateNumber(number); + if (add_item_to_object(object, name, number_item, &global_hooks, false)) + { + return number_item; + } + + cJSON_Delete(number_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddStringToObject(cJSON * const object, const char * const name, const char * const string) +{ + cJSON *string_item = cJSON_CreateString(string); + if (add_item_to_object(object, name, string_item, &global_hooks, false)) + { + return string_item; + } + + cJSON_Delete(string_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddRawToObject(cJSON * const object, const char * const name, const char * const raw) +{ + cJSON *raw_item = cJSON_CreateRaw(raw); + if (add_item_to_object(object, name, raw_item, &global_hooks, false)) + { + return raw_item; + } + + cJSON_Delete(raw_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddObjectToObject(cJSON * const object, const char * const name) +{ + cJSON *object_item = cJSON_CreateObject(); + if (add_item_to_object(object, name, object_item, &global_hooks, false)) + { + return object_item; + } + + cJSON_Delete(object_item); + return NULL; +} + +CJSON_PUBLIC(cJSON*) cJSON_AddArrayToObject(cJSON * const object, const char * const name) +{ + cJSON *array = cJSON_CreateArray(); + if (add_item_to_object(object, name, array, &global_hooks, false)) + { + return array; + } + + cJSON_Delete(array); + return NULL; +} + +CJSON_PUBLIC(cJSON *) cJSON_DetachItemViaPointer(cJSON *parent, cJSON * const item) +{ + if ((parent == NULL) || (item == NULL) || (item != parent->child && item->prev == NULL)) + { + return NULL; + } + + if (item != parent->child) + { + /* not the first element */ + item->prev->next = item->next; + } + if (item->next != NULL) + { + /* not the last element */ + item->next->prev = item->prev; + } + + if (item == parent->child) + { + /* first element */ + parent->child = item->next; + } + else if (item->next == NULL) + { + /* last element */ + parent->child->prev = item->prev; + } + + /* make sure the detached item doesn't point anywhere anymore */ + item->prev = NULL; + item->next = NULL; + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromArray(cJSON *array, int which) +{ + if (which < 0) + { + return NULL; + } + + return cJSON_DetachItemViaPointer(array, get_array_item(array, (size_t)which)); +} + +CJSON_PUBLIC(void) cJSON_DeleteItemFromArray(cJSON *array, int which) +{ + cJSON_Delete(cJSON_DetachItemFromArray(array, which)); +} + +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromObject(cJSON *object, const char *string) +{ + cJSON *to_detach = cJSON_GetObjectItem(object, string); + + return cJSON_DetachItemViaPointer(object, to_detach); +} + +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromObjectCaseSensitive(cJSON *object, const char *string) +{ + cJSON *to_detach = cJSON_GetObjectItemCaseSensitive(object, string); + + return cJSON_DetachItemViaPointer(object, to_detach); +} + +CJSON_PUBLIC(void) cJSON_DeleteItemFromObject(cJSON *object, const char *string) +{ + cJSON_Delete(cJSON_DetachItemFromObject(object, string)); +} + +CJSON_PUBLIC(void) cJSON_DeleteItemFromObjectCaseSensitive(cJSON *object, const char *string) +{ + cJSON_Delete(cJSON_DetachItemFromObjectCaseSensitive(object, string)); +} + +/* Replace array/object items with new ones. */ +CJSON_PUBLIC(cJSON_bool) cJSON_InsertItemInArray(cJSON *array, int which, cJSON *newitem) +{ + cJSON *after_inserted = NULL; + + if (which < 0 || newitem == NULL) + { + return false; + } + + after_inserted = get_array_item(array, (size_t)which); + if (after_inserted == NULL) + { + return add_item_to_array(array, newitem); + } + + if (after_inserted != array->child && after_inserted->prev == NULL) { + /* return false if after_inserted is a corrupted array item */ + return false; + } + + newitem->next = after_inserted; + newitem->prev = after_inserted->prev; + after_inserted->prev = newitem; + if (after_inserted == array->child) + { + array->child = newitem; + } + else + { + newitem->prev->next = newitem; + } + return true; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemViaPointer(cJSON * const parent, cJSON * const item, cJSON * replacement) +{ + if ((parent == NULL) || (parent->child == NULL) || (replacement == NULL) || (item == NULL)) + { + return false; + } + + if (replacement == item) + { + return true; + } + + replacement->next = item->next; + replacement->prev = item->prev; + + if (replacement->next != NULL) + { + replacement->next->prev = replacement; + } + if (parent->child == item) + { + if (parent->child->prev == parent->child) + { + replacement->prev = replacement; + } + parent->child = replacement; + } + else + { /* + * To find the last item in array quickly, we use prev in array. + * We can't modify the last item's next pointer where this item was the parent's child + */ + if (replacement->prev != NULL) + { + replacement->prev->next = replacement; + } + if (replacement->next == NULL) + { + parent->child->prev = replacement; + } + } + + item->next = NULL; + item->prev = NULL; + cJSON_Delete(item); + + return true; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInArray(cJSON *array, int which, cJSON *newitem) +{ + if (which < 0) + { + return false; + } + + return cJSON_ReplaceItemViaPointer(array, get_array_item(array, (size_t)which), newitem); +} + +static cJSON_bool replace_item_in_object(cJSON *object, const char *string, cJSON *replacement, cJSON_bool case_sensitive) +{ + if ((replacement == NULL) || (string == NULL)) + { + return false; + } + + /* replace the name in the replacement */ + if (!(replacement->type & cJSON_StringIsConst) && (replacement->string != NULL)) + { + cJSON_free(replacement->string); + } + replacement->string = (char*)cJSON_strdup((const unsigned char*)string, &global_hooks); + if (replacement->string == NULL) + { + return false; + } + + replacement->type &= ~cJSON_StringIsConst; + + return cJSON_ReplaceItemViaPointer(object, get_object_item(object, string, case_sensitive), replacement); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInObject(cJSON *object, const char *string, cJSON *newitem) +{ + return replace_item_in_object(object, string, newitem, false); +} + +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInObjectCaseSensitive(cJSON *object, const char *string, cJSON *newitem) +{ + return replace_item_in_object(object, string, newitem, true); +} + +/* Create basic types: */ +CJSON_PUBLIC(cJSON *) cJSON_CreateNull(void) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_NULL; + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateTrue(void) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_True; + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateFalse(void) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_False; + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateBool(cJSON_bool boolean) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = boolean ? cJSON_True : cJSON_False; + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateNumber(double num) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_Number; + item->valuedouble = num; + + /* use saturation in case of overflow */ + if (num >= INT_MAX) + { + item->valueint = INT_MAX; + } + else if (num <= (double)INT_MIN) + { + item->valueint = INT_MIN; + } + else + { + item->valueint = (int)num; + } + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateString(const char *string) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_String; + item->valuestring = (char*)cJSON_strdup((const unsigned char*)string, &global_hooks); + if(!item->valuestring) + { + cJSON_Delete(item); + return NULL; + } + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateStringReference(const char *string) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if (item != NULL) + { + item->type = cJSON_String | cJSON_IsReference; + item->valuestring = (char*)cast_away_const(string); + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateObjectReference(const cJSON *child) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if (item != NULL) { + item->type = cJSON_Object | cJSON_IsReference; + item->child = (cJSON*)cast_away_const(child); + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateArrayReference(const cJSON *child) { + cJSON *item = cJSON_New_Item(&global_hooks); + if (item != NULL) { + item->type = cJSON_Array | cJSON_IsReference; + item->child = (cJSON*)cast_away_const(child); + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateRaw(const char *raw) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type = cJSON_Raw; + item->valuestring = (char*)cJSON_strdup((const unsigned char*)raw, &global_hooks); + if(!item->valuestring) + { + cJSON_Delete(item); + return NULL; + } + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateArray(void) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if(item) + { + item->type=cJSON_Array; + } + + return item; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateObject(void) +{ + cJSON *item = cJSON_New_Item(&global_hooks); + if (item) + { + item->type = cJSON_Object; + } + + return item; +} + +/* Create Arrays: */ +CJSON_PUBLIC(cJSON *) cJSON_CreateIntArray(const int *numbers, int count) +{ + size_t i = 0; + cJSON *n = NULL; + cJSON *p = NULL; + cJSON *a = NULL; + + if ((count < 0) || (numbers == NULL)) + { + return NULL; + } + + a = cJSON_CreateArray(); + + for(i = 0; a && (i < (size_t)count); i++) + { + n = cJSON_CreateNumber(numbers[i]); + if (!n) + { + cJSON_Delete(a); + return NULL; + } + if(!i) + { + a->child = n; + } + else + { + suffix_object(p, n); + } + p = n; + } + + if (a && a->child) { + a->child->prev = n; + } + + return a; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateFloatArray(const float *numbers, int count) +{ + size_t i = 0; + cJSON *n = NULL; + cJSON *p = NULL; + cJSON *a = NULL; + + if ((count < 0) || (numbers == NULL)) + { + return NULL; + } + + a = cJSON_CreateArray(); + + for(i = 0; a && (i < (size_t)count); i++) + { + n = cJSON_CreateNumber((double)numbers[i]); + if(!n) + { + cJSON_Delete(a); + return NULL; + } + if(!i) + { + a->child = n; + } + else + { + suffix_object(p, n); + } + p = n; + } + + if (a && a->child) { + a->child->prev = n; + } + + return a; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateDoubleArray(const double *numbers, int count) +{ + size_t i = 0; + cJSON *n = NULL; + cJSON *p = NULL; + cJSON *a = NULL; + + if ((count < 0) || (numbers == NULL)) + { + return NULL; + } + + a = cJSON_CreateArray(); + + for(i = 0; a && (i < (size_t)count); i++) + { + n = cJSON_CreateNumber(numbers[i]); + if(!n) + { + cJSON_Delete(a); + return NULL; + } + if(!i) + { + a->child = n; + } + else + { + suffix_object(p, n); + } + p = n; + } + + if (a && a->child) { + a->child->prev = n; + } + + return a; +} + +CJSON_PUBLIC(cJSON *) cJSON_CreateStringArray(const char *const *strings, int count) +{ + size_t i = 0; + cJSON *n = NULL; + cJSON *p = NULL; + cJSON *a = NULL; + + if ((count < 0) || (strings == NULL)) + { + return NULL; + } + + a = cJSON_CreateArray(); + + for (i = 0; a && (i < (size_t)count); i++) + { + n = cJSON_CreateString(strings[i]); + if(!n) + { + cJSON_Delete(a); + return NULL; + } + if(!i) + { + a->child = n; + } + else + { + suffix_object(p,n); + } + p = n; + } + + if (a && a->child) { + a->child->prev = n; + } + + return a; +} + +/* Duplication */ +cJSON * cJSON_Duplicate_rec(const cJSON *item, size_t depth, cJSON_bool recurse); + +CJSON_PUBLIC(cJSON *) cJSON_Duplicate(const cJSON *item, cJSON_bool recurse) +{ + return cJSON_Duplicate_rec(item, 0, recurse ); +} + +cJSON * cJSON_Duplicate_rec(const cJSON *item, size_t depth, cJSON_bool recurse) +{ + cJSON *newitem = NULL; + cJSON *child = NULL; + cJSON *next = NULL; + cJSON *newchild = NULL; + + /* Bail on bad ptr */ + if (!item) + { + goto fail; + } + /* Create new item */ + newitem = cJSON_New_Item(&global_hooks); + if (!newitem) + { + goto fail; + } + /* Copy over all vars */ + newitem->type = item->type & (~cJSON_IsReference); + newitem->valueint = item->valueint; + newitem->valuedouble = item->valuedouble; + if (item->valuestring) + { + newitem->valuestring = (char*)cJSON_strdup((unsigned char*)item->valuestring, &global_hooks); + if (!newitem->valuestring) + { + goto fail; + } + } + if (item->string) + { + newitem->string = (item->type&cJSON_StringIsConst) ? item->string : (char*)cJSON_strdup((unsigned char*)item->string, &global_hooks); + if (!newitem->string) + { + goto fail; + } + } + /* If non-recursive, then we're done! */ + if (!recurse) + { + return newitem; + } + /* Walk the ->next chain for the child. */ + child = item->child; + while (child != NULL) + { + if(depth >= CJSON_CIRCULAR_LIMIT) { + goto fail; + } + newchild = cJSON_Duplicate_rec(child, depth + 1, true); /* Duplicate (with recurse) each item in the ->next chain */ + if (!newchild) + { + goto fail; + } + if (next != NULL) + { + /* If newitem->child already set, then crosswire ->prev and ->next and move on */ + next->next = newchild; + newchild->prev = next; + next = newchild; + } + else + { + /* Set newitem->child and move to it */ + newitem->child = newchild; + next = newchild; + } + child = child->next; + } + if (newitem && newitem->child) + { + newitem->child->prev = newchild; + } + + return newitem; + +fail: + if (newitem != NULL) + { + cJSON_Delete(newitem); + } + + return NULL; +} + +static void skip_oneline_comment(char **input) +{ + *input += static_strlen("//"); + + for (; (*input)[0] != '\0'; ++(*input)) + { + if ((*input)[0] == '\n') { + *input += static_strlen("\n"); + return; + } + } +} + +static void skip_multiline_comment(char **input) +{ + *input += static_strlen("/*"); + + for (; (*input)[0] != '\0'; ++(*input)) + { + if (((*input)[0] == '*') && ((*input)[1] == '/')) + { + *input += static_strlen("*/"); + return; + } + } +} + +static void minify_string(char **input, char **output) { + (*output)[0] = (*input)[0]; + *input += static_strlen("\""); + *output += static_strlen("\""); + + + for (; (*input)[0] != '\0'; (void)++(*input), ++(*output)) { + (*output)[0] = (*input)[0]; + + if ((*input)[0] == '\"') { + (*output)[0] = '\"'; + *input += static_strlen("\""); + *output += static_strlen("\""); + return; + } else if (((*input)[0] == '\\') && ((*input)[1] == '\"')) { + (*output)[1] = (*input)[1]; + *input += static_strlen("\""); + *output += static_strlen("\""); + } + } +} + +CJSON_PUBLIC(void) cJSON_Minify(char *json) +{ + char *into = json; + + if (json == NULL) + { + return; + } + + while (json[0] != '\0') + { + switch (json[0]) + { + case ' ': + case '\t': + case '\r': + case '\n': + json++; + break; + + case '/': + if (json[1] == '/') + { + skip_oneline_comment(&json); + } + else if (json[1] == '*') + { + skip_multiline_comment(&json); + } else { + json++; + } + break; + + case '\"': + minify_string(&json, (char**)&into); + break; + + default: + into[0] = json[0]; + json++; + into++; + } + } + + /* and null-terminate. */ + *into = '\0'; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsInvalid(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_Invalid; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsFalse(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_False; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsTrue(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xff) == cJSON_True; +} + + +CJSON_PUBLIC(cJSON_bool) cJSON_IsBool(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & (cJSON_True | cJSON_False)) != 0; +} +CJSON_PUBLIC(cJSON_bool) cJSON_IsNull(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_NULL; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsNumber(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_Number; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsString(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_String; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsArray(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_Array; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsObject(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_Object; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_IsRaw(const cJSON * const item) +{ + if (item == NULL) + { + return false; + } + + return (item->type & 0xFF) == cJSON_Raw; +} + +CJSON_PUBLIC(cJSON_bool) cJSON_Compare(const cJSON * const a, const cJSON * const b, const cJSON_bool case_sensitive) +{ + if ((a == NULL) || (b == NULL) || ((a->type & 0xFF) != (b->type & 0xFF))) + { + return false; + } + + /* check if type is valid */ + switch (a->type & 0xFF) + { + case cJSON_False: + case cJSON_True: + case cJSON_NULL: + case cJSON_Number: + case cJSON_String: + case cJSON_Raw: + case cJSON_Array: + case cJSON_Object: + break; + + default: + return false; + } + + /* identical objects are equal */ + if (a == b) + { + return true; + } + + switch (a->type & 0xFF) + { + /* in these cases and equal type is enough */ + case cJSON_False: + case cJSON_True: + case cJSON_NULL: + return true; + + case cJSON_Number: + if (compare_double(a->valuedouble, b->valuedouble)) + { + return true; + } + return false; + + case cJSON_String: + case cJSON_Raw: + if ((a->valuestring == NULL) || (b->valuestring == NULL)) + { + return false; + } + if (strcmp(a->valuestring, b->valuestring) == 0) + { + return true; + } + + return false; + + case cJSON_Array: + { + cJSON *a_element = a->child; + cJSON *b_element = b->child; + + for (; (a_element != NULL) && (b_element != NULL);) + { + if (!cJSON_Compare(a_element, b_element, case_sensitive)) + { + return false; + } + + a_element = a_element->next; + b_element = b_element->next; + } + + /* one of the arrays is longer than the other */ + if (a_element != b_element) { + return false; + } + + return true; + } + + case cJSON_Object: + { + cJSON *a_element = NULL; + cJSON *b_element = NULL; + cJSON_ArrayForEach(a_element, a) + { + /* TODO This has O(n^2) runtime, which is horrible! */ + b_element = get_object_item(b, a_element->string, case_sensitive); + if (b_element == NULL) + { + return false; + } + + if (!cJSON_Compare(a_element, b_element, case_sensitive)) + { + return false; + } + } + + /* doing this twice, once on a and b to prevent true comparison if a subset of b + * TODO: Do this the proper way, this is just a fix for now */ + cJSON_ArrayForEach(b_element, b) + { + a_element = get_object_item(a, b_element->string, case_sensitive); + if (a_element == NULL) + { + return false; + } + + if (!cJSON_Compare(b_element, a_element, case_sensitive)) + { + return false; + } + } + + return true; + } + + default: + return false; + } +} + +CJSON_PUBLIC(void *) cJSON_malloc(size_t size) +{ + return global_hooks.allocate(size); +} + +CJSON_PUBLIC(void) cJSON_free(void *object) +{ + global_hooks.deallocate(object); + object = NULL; +} diff --git a/Middlewares/cJSON.h b/Middlewares/cJSON.h new file mode 100644 index 0000000..37520bb --- /dev/null +++ b/Middlewares/cJSON.h @@ -0,0 +1,306 @@ +/* + Copyright (c) 2009-2017 Dave Gamble and cJSON contributors + + Permission is hereby granted, free of charge, to any person obtaining a copy + of this software and associated documentation files (the "Software"), to deal + in the Software without restriction, including without limitation the rights + to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + copies of the Software, and to permit persons to whom the Software is + furnished to do so, subject to the following conditions: + + The above copyright notice and this permission notice shall be included in + all copies or substantial portions of the Software. + + THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN + THE SOFTWARE. +*/ + +#ifndef cJSON__h +#define cJSON__h + +#ifdef __cplusplus +extern "C" +{ +#endif + +#if !defined(__WINDOWS__) && (defined(WIN32) || defined(WIN64) || defined(_MSC_VER) || defined(_WIN32)) +#define __WINDOWS__ +#endif + +#ifdef __WINDOWS__ + +/* When compiling for windows, we specify a specific calling convention to avoid issues where we are being called from a project with a different default calling convention. For windows you have 3 define options: + +CJSON_HIDE_SYMBOLS - Define this in the case where you don't want to ever dllexport symbols +CJSON_EXPORT_SYMBOLS - Define this on library build when you want to dllexport symbols (default) +CJSON_IMPORT_SYMBOLS - Define this if you want to dllimport symbol + +For *nix builds that support visibility attribute, you can define similar behavior by + +setting default visibility to hidden by adding +-fvisibility=hidden (for gcc) +or +-xldscope=hidden (for sun cc) +to CFLAGS + +then using the CJSON_API_VISIBILITY flag to "export" the same symbols the way CJSON_EXPORT_SYMBOLS does + +*/ + +#define CJSON_CDECL __cdecl +#define CJSON_STDCALL __stdcall + +/* export symbols by default, this is necessary for copy pasting the C and header file */ +#if !defined(CJSON_HIDE_SYMBOLS) && !defined(CJSON_IMPORT_SYMBOLS) && !defined(CJSON_EXPORT_SYMBOLS) +#define CJSON_EXPORT_SYMBOLS +#endif + +#if defined(CJSON_HIDE_SYMBOLS) +#define CJSON_PUBLIC(type) type CJSON_STDCALL +#elif defined(CJSON_EXPORT_SYMBOLS) +#define CJSON_PUBLIC(type) __declspec(dllexport) type CJSON_STDCALL +#elif defined(CJSON_IMPORT_SYMBOLS) +#define CJSON_PUBLIC(type) __declspec(dllimport) type CJSON_STDCALL +#endif +#else /* !__WINDOWS__ */ +#define CJSON_CDECL +#define CJSON_STDCALL + +#if (defined(__GNUC__) || defined(__SUNPRO_CC) || defined (__SUNPRO_C)) && defined(CJSON_API_VISIBILITY) +#define CJSON_PUBLIC(type) __attribute__((visibility("default"))) type +#else +#define CJSON_PUBLIC(type) type +#endif +#endif + +/* project version */ +#define CJSON_VERSION_MAJOR 1 +#define CJSON_VERSION_MINOR 7 +#define CJSON_VERSION_PATCH 18 + +#include + +/* cJSON Types: */ +#define cJSON_Invalid (0) +#define cJSON_False (1 << 0) +#define cJSON_True (1 << 1) +#define cJSON_NULL (1 << 2) +#define cJSON_Number (1 << 3) +#define cJSON_String (1 << 4) +#define cJSON_Array (1 << 5) +#define cJSON_Object (1 << 6) +#define cJSON_Raw (1 << 7) /* raw json */ + +#define cJSON_IsReference 256 +#define cJSON_StringIsConst 512 + +/* The cJSON structure: */ +typedef struct cJSON +{ + /* next/prev allow you to walk array/object chains. Alternatively, use GetArraySize/GetArrayItem/GetObjectItem */ + struct cJSON *next; + struct cJSON *prev; + /* An array or object item will have a child pointer pointing to a chain of the items in the array/object. */ + struct cJSON *child; + + /* The type of the item, as above. */ + int type; + + /* The item's string, if type==cJSON_String and type == cJSON_Raw */ + char *valuestring; + /* writing to valueint is DEPRECATED, use cJSON_SetNumberValue instead */ + int valueint; + /* The item's number, if type==cJSON_Number */ + double valuedouble; + + /* The item's name string, if this item is the child of, or is in the list of subitems of an object. */ + char *string; +} cJSON; + +typedef struct cJSON_Hooks +{ + /* malloc/free are CDECL on Windows regardless of the default calling convention of the compiler, so ensure the hooks allow passing those functions directly. */ + void *(CJSON_CDECL *malloc_fn)(size_t sz); + void (CJSON_CDECL *free_fn)(void *ptr); +} cJSON_Hooks; + +typedef int cJSON_bool; + +/* Limits how deeply nested arrays/objects can be before cJSON rejects to parse them. + * This is to prevent stack overflows. */ +#ifndef CJSON_NESTING_LIMIT +#define CJSON_NESTING_LIMIT 1000 +#endif + +/* Limits the length of circular references can be before cJSON rejects to parse them. + * This is to prevent stack overflows. */ +#ifndef CJSON_CIRCULAR_LIMIT +#define CJSON_CIRCULAR_LIMIT 10000 +#endif + +/* returns the version of cJSON as a string */ +CJSON_PUBLIC(const char*) cJSON_Version(void); + +/* Supply malloc, realloc and free functions to cJSON */ +CJSON_PUBLIC(void) cJSON_InitHooks(cJSON_Hooks* hooks); + +/* Memory Management: the caller is always responsible to free the results from all variants of cJSON_Parse (with cJSON_Delete) and cJSON_Print (with stdlib free, cJSON_Hooks.free_fn, or cJSON_free as appropriate). The exception is cJSON_PrintPreallocated, where the caller has full responsibility of the buffer. */ +/* Supply a block of JSON, and this returns a cJSON object you can interrogate. */ +CJSON_PUBLIC(cJSON *) cJSON_Parse(const char *value); +CJSON_PUBLIC(cJSON *) cJSON_ParseWithLength(const char *value, size_t buffer_length); +/* ParseWithOpts allows you to require (and check) that the JSON is null terminated, and to retrieve the pointer to the final byte parsed. */ +/* If you supply a ptr in return_parse_end and parsing fails, then return_parse_end will contain a pointer to the error so will match cJSON_GetErrorPtr(). */ +CJSON_PUBLIC(cJSON *) cJSON_ParseWithOpts(const char *value, const char **return_parse_end, cJSON_bool require_null_terminated); +CJSON_PUBLIC(cJSON *) cJSON_ParseWithLengthOpts(const char *value, size_t buffer_length, const char **return_parse_end, cJSON_bool require_null_terminated); + +/* Render a cJSON entity to text for transfer/storage. */ +CJSON_PUBLIC(char *) cJSON_Print(const cJSON *item); +/* Render a cJSON entity to text for transfer/storage without any formatting. */ +CJSON_PUBLIC(char *) cJSON_PrintUnformatted(const cJSON *item); +/* Render a cJSON entity to text using a buffered strategy. prebuffer is a guess at the final size. guessing well reduces reallocation. fmt=0 gives unformatted, =1 gives formatted */ +CJSON_PUBLIC(char *) cJSON_PrintBuffered(const cJSON *item, int prebuffer, cJSON_bool fmt); +/* Render a cJSON entity to text using a buffer already allocated in memory with given length. Returns 1 on success and 0 on failure. */ +/* NOTE: cJSON is not always 100% accurate in estimating how much memory it will use, so to be safe allocate 5 bytes more than you actually need */ +CJSON_PUBLIC(cJSON_bool) cJSON_PrintPreallocated(cJSON *item, char *buffer, const int length, const cJSON_bool format); +/* Delete a cJSON entity and all subentities. */ +CJSON_PUBLIC(void) cJSON_Delete(cJSON *item); + +/* Returns the number of items in an array (or object). */ +CJSON_PUBLIC(int) cJSON_GetArraySize(const cJSON *array); +/* Retrieve item number "index" from array "array". Returns NULL if unsuccessful. */ +CJSON_PUBLIC(cJSON *) cJSON_GetArrayItem(const cJSON *array, int index); +/* Get item "string" from object. Case insensitive. */ +CJSON_PUBLIC(cJSON *) cJSON_GetObjectItem(const cJSON * const object, const char * const string); +CJSON_PUBLIC(cJSON *) cJSON_GetObjectItemCaseSensitive(const cJSON * const object, const char * const string); +CJSON_PUBLIC(cJSON_bool) cJSON_HasObjectItem(const cJSON *object, const char *string); +/* For analysing failed parses. This returns a pointer to the parse error. You'll probably need to look a few chars back to make sense of it. Defined when cJSON_Parse() returns 0. 0 when cJSON_Parse() succeeds. */ +CJSON_PUBLIC(const char *) cJSON_GetErrorPtr(void); + +/* Check item type and return its value */ +CJSON_PUBLIC(char *) cJSON_GetStringValue(const cJSON * const item); +CJSON_PUBLIC(double) cJSON_GetNumberValue(const cJSON * const item); + +/* These functions check the type of an item */ +CJSON_PUBLIC(cJSON_bool) cJSON_IsInvalid(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsFalse(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsTrue(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsBool(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsNull(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsNumber(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsString(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsArray(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsObject(const cJSON * const item); +CJSON_PUBLIC(cJSON_bool) cJSON_IsRaw(const cJSON * const item); + +/* These calls create a cJSON item of the appropriate type. */ +CJSON_PUBLIC(cJSON *) cJSON_CreateNull(void); +CJSON_PUBLIC(cJSON *) cJSON_CreateTrue(void); +CJSON_PUBLIC(cJSON *) cJSON_CreateFalse(void); +CJSON_PUBLIC(cJSON *) cJSON_CreateBool(cJSON_bool boolean); +CJSON_PUBLIC(cJSON *) cJSON_CreateNumber(double num); +CJSON_PUBLIC(cJSON *) cJSON_CreateString(const char *string); +/* raw json */ +CJSON_PUBLIC(cJSON *) cJSON_CreateRaw(const char *raw); +CJSON_PUBLIC(cJSON *) cJSON_CreateArray(void); +CJSON_PUBLIC(cJSON *) cJSON_CreateObject(void); + +/* Create a string where valuestring references a string so + * it will not be freed by cJSON_Delete */ +CJSON_PUBLIC(cJSON *) cJSON_CreateStringReference(const char *string); +/* Create an object/array that only references it's elements so + * they will not be freed by cJSON_Delete */ +CJSON_PUBLIC(cJSON *) cJSON_CreateObjectReference(const cJSON *child); +CJSON_PUBLIC(cJSON *) cJSON_CreateArrayReference(const cJSON *child); + +/* These utilities create an Array of count items. + * The parameter count cannot be greater than the number of elements in the number array, otherwise array access will be out of bounds.*/ +CJSON_PUBLIC(cJSON *) cJSON_CreateIntArray(const int *numbers, int count); +CJSON_PUBLIC(cJSON *) cJSON_CreateFloatArray(const float *numbers, int count); +CJSON_PUBLIC(cJSON *) cJSON_CreateDoubleArray(const double *numbers, int count); +CJSON_PUBLIC(cJSON *) cJSON_CreateStringArray(const char *const *strings, int count); + +/* Append item to the specified array/object. */ +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToArray(cJSON *array, cJSON *item); +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToObject(cJSON *object, const char *string, cJSON *item); +/* Use this when string is definitely const (i.e. a literal, or as good as), and will definitely survive the cJSON object. + * WARNING: When this function was used, make sure to always check that (item->type & cJSON_StringIsConst) is zero before + * writing to `item->string` */ +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemToObjectCS(cJSON *object, const char *string, cJSON *item); +/* Append reference to item to the specified array/object. Use this when you want to add an existing cJSON to a new cJSON, but don't want to corrupt your existing cJSON. */ +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemReferenceToArray(cJSON *array, cJSON *item); +CJSON_PUBLIC(cJSON_bool) cJSON_AddItemReferenceToObject(cJSON *object, const char *string, cJSON *item); + +/* Remove/Detach items from Arrays/Objects. */ +CJSON_PUBLIC(cJSON *) cJSON_DetachItemViaPointer(cJSON *parent, cJSON * const item); +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromArray(cJSON *array, int which); +CJSON_PUBLIC(void) cJSON_DeleteItemFromArray(cJSON *array, int which); +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromObject(cJSON *object, const char *string); +CJSON_PUBLIC(cJSON *) cJSON_DetachItemFromObjectCaseSensitive(cJSON *object, const char *string); +CJSON_PUBLIC(void) cJSON_DeleteItemFromObject(cJSON *object, const char *string); +CJSON_PUBLIC(void) cJSON_DeleteItemFromObjectCaseSensitive(cJSON *object, const char *string); + +/* Update array items. */ +CJSON_PUBLIC(cJSON_bool) cJSON_InsertItemInArray(cJSON *array, int which, cJSON *newitem); /* Shifts pre-existing items to the right. */ +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemViaPointer(cJSON * const parent, cJSON * const item, cJSON * replacement); +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInArray(cJSON *array, int which, cJSON *newitem); +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInObject(cJSON *object,const char *string,cJSON *newitem); +CJSON_PUBLIC(cJSON_bool) cJSON_ReplaceItemInObjectCaseSensitive(cJSON *object,const char *string,cJSON *newitem); + +/* Duplicate a cJSON item */ +CJSON_PUBLIC(cJSON *) cJSON_Duplicate(const cJSON *item, cJSON_bool recurse); +/* Duplicate will create a new, identical cJSON item to the one you pass, in new memory that will + * need to be released. With recurse!=0, it will duplicate any children connected to the item. + * The item->next and ->prev pointers are always zero on return from Duplicate. */ +/* Recursively compare two cJSON items for equality. If either a or b is NULL or invalid, they will be considered unequal. + * case_sensitive determines if object keys are treated case sensitive (1) or case insensitive (0) */ +CJSON_PUBLIC(cJSON_bool) cJSON_Compare(const cJSON * const a, const cJSON * const b, const cJSON_bool case_sensitive); + +/* Minify a strings, remove blank characters(such as ' ', '\t', '\r', '\n') from strings. + * The input pointer json cannot point to a read-only address area, such as a string constant, + * but should point to a readable and writable address area. */ +CJSON_PUBLIC(void) cJSON_Minify(char *json); + +/* Helper functions for creating and adding items to an object at the same time. + * They return the added item or NULL on failure. */ +CJSON_PUBLIC(cJSON*) cJSON_AddNullToObject(cJSON * const object, const char * const name); +CJSON_PUBLIC(cJSON*) cJSON_AddTrueToObject(cJSON * const object, const char * const name); +CJSON_PUBLIC(cJSON*) cJSON_AddFalseToObject(cJSON * const object, const char * const name); +CJSON_PUBLIC(cJSON*) cJSON_AddBoolToObject(cJSON * const object, const char * const name, const cJSON_bool boolean); +CJSON_PUBLIC(cJSON*) cJSON_AddNumberToObject(cJSON * const object, const char * const name, const double number); +CJSON_PUBLIC(cJSON*) cJSON_AddStringToObject(cJSON * const object, const char * const name, const char * const string); +CJSON_PUBLIC(cJSON*) cJSON_AddRawToObject(cJSON * const object, const char * const name, const char * const raw); +CJSON_PUBLIC(cJSON*) cJSON_AddObjectToObject(cJSON * const object, const char * const name); +CJSON_PUBLIC(cJSON*) cJSON_AddArrayToObject(cJSON * const object, const char * const name); + +/* When assigning an integer value, it needs to be propagated to valuedouble too. */ +#define cJSON_SetIntValue(object, number) ((object) ? (object)->valueint = (object)->valuedouble = (number) : (number)) +/* helper for the cJSON_SetNumberValue macro */ +CJSON_PUBLIC(double) cJSON_SetNumberHelper(cJSON *object, double number); +#define cJSON_SetNumberValue(object, number) ((object != NULL) ? cJSON_SetNumberHelper(object, (double)number) : (number)) +/* Change the valuestring of a cJSON_String object, only takes effect when type of object is cJSON_String */ +CJSON_PUBLIC(char*) cJSON_SetValuestring(cJSON *object, const char *valuestring); + +/* If the object is not a boolean type this does nothing and returns cJSON_Invalid else it returns the new type*/ +#define cJSON_SetBoolValue(object, boolValue) ( \ + (object != NULL && ((object)->type & (cJSON_False|cJSON_True))) ? \ + (object)->type=((object)->type &(~(cJSON_False|cJSON_True)))|((boolValue)?cJSON_True:cJSON_False) : \ + cJSON_Invalid\ +) + +/* Macro for iterating over an array or object */ +#define cJSON_ArrayForEach(element, array) for(element = (array != NULL) ? (array)->child : NULL; element != NULL; element = element->next) + +/* malloc/free objects using the malloc/free functions that have been set with cJSON_InitHooks */ +CJSON_PUBLIC(void *) cJSON_malloc(size_t size); +CJSON_PUBLIC(void) cJSON_free(void *object); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/Middlewares/circular_buffer.c b/Middlewares/circular_buffer.c new file mode 100644 index 0000000..67a68b6 --- /dev/null +++ b/Middlewares/circular_buffer.c @@ -0,0 +1,284 @@ +#include +#include +#include +#include "circular_buffer.h" +#include "priv_malloc.h" + +/** + * @brief Check if Num is power of 2 + * + * @param[in] Num the number to check + * + * @return 1 if Num is power of 2 + */ +unsigned long long IsPowerOf2(unsigned long long Num) { + return (Num > 0 && !(Num & (Num - 1))); +} + +/** + * @brief calculate the minimum number that round up to the next power of 2 + * + * @param[in] Num the number to calculate + * + * @return the number that round up to the next power of 2 (0x100 if Num is 0xf0, 0x81, 0xa3 ... ) + */ +unsigned long RoundUp_PowerOf2(unsigned long Num) { + unsigned long result = 1; + + if (IsPowerOf2(Num) || Num == 0) + return Num; + else if (Num > LONG_MAX) + return (LONG_MAX ^ ULONG_MAX); // WARN: if Num biger than (LONG_MAX+1) then result will equals to (LONG_MAX+1) + + while (Num) { + Num >>= 1; + result <<= 1; + } + + return result; +} + +/** + * @brief calculate the minimum number that round down to the next power of 2 + * + * @param[] Num the number to check + * + * @return the number that round up to the last power of 2 (4 if Num is 5,6,7, 8 if Num is 9,10,11 ... ) + */ +unsigned long RoundDown_PowerOf2(unsigned long Num) { + unsigned long result = 1; + + if (IsPowerOf2(Num) || Num == 0) + return Num; + else if (Num > LONG_MAX) + return (LONG_MAX ^ ULONG_MAX); // WARN: if Num biger than (LONG_MAX+1) then result will equals to (LONG_MAX+1) + + while (Num) { + Num >>= 1; + result <<= 1; + } + + return result >> 1; +} + +/** + * @brief Init the Circular buffer with a array + * + * @param[in] CBuf The circular buffer to initial + * @param[in] Buff the buffer for circular buffer to store data + * @param[in] Size the size of buffer + * + * @return the Round Down(Power Of 2) size that the circular buffer to be used + */ +int CircBuf_Init(CircBuf_t *CBuf, unsigned char *Buff, unsigned int Size) { + CBuf->Buffer = Buff; + + if(!IsPowerOf2(Size)) { + if (Size > INT_MAX) + Size = (INT_MAX ^ UINT_MAX); + else + Size = (int) RoundDown_PowerOf2(Size); + } + + CBuf->Size = Size; + CBuf->Tailer = 0; + CBuf->Header = 0; + + return Size; +} + +/** + * @brief Circular Buffer initialization + * + * @param[in] CBuf the circular buffer to initialization + * @param[in] Size size of the circular buffer + * + * @return 1 if memery allocation success + * 0 if fail + */ +int CircBuf_Alloc(CircBuf_t *CBuf, unsigned int Size) { + int result = 0; + + if(!IsPowerOf2(Size)) { + if(Size > INT_MAX) + Size = (INT_MAX ^ UINT_MAX); + else + Size = (int)RoundUp_PowerOf2(Size); + } + CBuf->Buffer = (unsigned char *) board_calloc(Size); // Buffer will set to 0 + + CBuf->Tailer = 0; + CBuf->Header = 0; + + if(CBuf->Buffer != NULL) { + CBuf->Size = Size; + result = 1; + } + + return result; +} + +/** + * @brief delete circular buffer and release the memery + * + * @param[in] CBuf the circular buffer to delete + */ +void CircBuf_Free(CircBuf_t *CBuf) { + free(CBuf->Buffer); + CBuf = NULL; +} + +/** + * @brief put data into the circular buffer + * + * @param[in] CBuf the circular buffer that will store the data + * @param[in] data the data to store into circular buffer + * @param[in] LenToPush the length of data to store into circular buffer + * + * @return the actual size stored into circular buffer + */ +unsigned int CircBuf_Push(CircBuf_t *CBuf, unsigned char *data, unsigned int LenToPush) { + unsigned int len; + + LenToPush = MIN(LenToPush, (CBuf->Size - (CBuf->Header - CBuf->Tailer))); + + len = MIN(LenToPush, CBuf->Size - (CBuf->Header & (CBuf->Size - 1))); + + memcpy(CBuf->Buffer + (CBuf->Header & CBuf->Size - 1), data, len); + memcpy(CBuf->Buffer, data + len, LenToPush - len); + + CBuf->Header += LenToPush; + + return LenToPush; +} + +/** + * @brief get data from circular buffer + * + * @param[in] CBuf the circular buffer that stored data + * @param[in] data target buffer that will store the data that from circular buffer + * @param[in] LenToPop the length that wan't to get from circular buffer + * + * @return actual length that get from circular buffer + */ +unsigned int CircBuf_Pop(CircBuf_t *CBuf, unsigned char *data, unsigned int LenToPop) { + unsigned int len; + + LenToPop = MIN(LenToPop, CBuf->Header - CBuf->Tailer); + + len = MIN(LenToPop, CBuf->Size - (CBuf->Tailer & (CBuf->Size - 1))); + + memcpy(data, CBuf->Buffer + (CBuf->Tailer & (CBuf->Size - 1)), len); + memcpy(data + len, CBuf->Buffer, LenToPop - len); + + CBuf->Tailer += LenToPop; + + return LenToPop; +} + +/** + * @brief get one char from circular buffer + * + * @param[in] CBuf the circular buffer that stored data + * @param[n] data target buffer that will store the data that from circular buffer + * + * @return actual length that get from circular buffer + */ +unsigned int CircBuf_PopOneChar(CircBuf_t *CBuf, unsigned char *data) { + return CircBuf_Pop(CBuf, data, 1); +} + +/** + * @brief for access data at Tailer + offset + * + * @param[in] CBuf the circular buffer that stored data + * @param[in] offset the offset of Tailer + * + * @return the data at Buffer[Tailer + offset] + */ +unsigned char CircBuf_At(CircBuf_t *CBuf, unsigned int offset) { + unsigned int index = (CBuf->Tailer + offset) & (CBuf->Size - 1); + return CBuf->Buffer[index]; +} + +/** + * @brief get data from circular buffer + * + * @param[in] CBuf the circular buffer that stored data + * @param[in] data target buffer that will store the data that from circular buffer + * @param[in] LenToRead the length that wan't to get from circular buffer + * + * @return actual length that get from circular buffer + */ +unsigned int CircBuf_Read(CircBuf_t *CBuf, unsigned char *data, unsigned int LenToRead) { + unsigned int len; + + LenToRead = MIN(LenToRead, CBuf->Header - CBuf->Tailer); + + len = MIN(LenToRead, CBuf->Size - (CBuf->Tailer & (CBuf->Size - 1))); + + memcpy(data, CBuf->Buffer + (CBuf->Tailer & (CBuf->Size - 1)), len); + memcpy(data + len, CBuf->Buffer, LenToRead - len); + + return LenToRead; +} + +/** + * @brief drop the the size of data at tailer + * + * @param[in] CBuf the circular buffer that stored data + * @param[in] LenToDrop the size of data at tailer of circular_buffer to drop + */ +void CircBuf_Drop(CircBuf_t *CBuf, unsigned int LenToDrop) { + if((CBuf->Tailer + LenToDrop) <= CBuf->Header ) + CBuf->Tailer += LenToDrop; + else + CBuf->Tailer = CBuf->Header; +} + +/** + * @brief get the Available memery size of circular buffer + * + * @param[in] CBuf the circular buffer to get size + * + * @return Available size of the circular buffer + */ +unsigned int CircBuf_GetAvalaibleSize(CircBuf_t *CBuf) { + return ((CBuf->Size > 0) ? (CBuf->Size - (CBuf->Header - CBuf->Tailer)) : 0); +} + +/** +* @brief get the used memery size of circular buffer +* +* @param[in] CBuf the circular buffer to get size +* +* @return used size of the circular buffer +*/ +unsigned int CircBuf_GetUsedSize(CircBuf_t *CBuf) { + return (CBuf->Header - CBuf->Tailer); +} + +/** + * @brief check if the circular buffer is empty + * + * @param[in] CBuf the circular buffer to check + * + * @return 1 if no data stored in the circular buffer + * 0 if the size of circular buffer equals to 0 + * or some data stored in the circular buffer + */ +unsigned int CircBuf_IsEmpty(CircBuf_t *CBuf) { + return ((CBuf->Size > 0) && (CBuf->Header == CBuf->Tailer)); +} + +/** + * @brief check if the circular buffer is full + * + * @param[in] CBuf the circular buffer to check + * + * @return 1 if the size of circular buffer equals to 0 + * or no Available space of circular buffer + */ +unsigned int CircBuf_IsFull(CircBuf_t *CBuf) { + return ((CBuf->Size == 0) || (CBuf->Size == (CBuf->Header - CBuf->Tailer))); +} diff --git a/Middlewares/circular_buffer.h b/Middlewares/circular_buffer.h new file mode 100644 index 0000000..2b265b4 --- /dev/null +++ b/Middlewares/circular_buffer.h @@ -0,0 +1,41 @@ +#ifndef __CIRC_BUF__ +#define __CIRC_BUF__ + +#ifdef __cplusplus +extern "C" { +#endif + +#define MIN(a, b) (((a) > (b)) ? (b) : (a)) +#define MAX(a, b) (((a) > (b)) ? (a) : (b)) + +typedef struct CIRC_BUF { + unsigned int Size; + unsigned int Header; + unsigned int Tailer; + unsigned char *Buffer; +} CircBuf_t; + +unsigned long long IsPowerOf2 (unsigned long long Num); +unsigned long RoundUp_PowerOf2 (unsigned long Num); +unsigned long RoundDown_PowerOf2(unsigned long Num); + +int CircBuf_Init(CircBuf_t *CBuf, unsigned char *Buff, unsigned int Size); +int CircBuf_Alloc (CircBuf_t *CBuf, unsigned int Size); +void CircBuf_Free (CircBuf_t *CBuf); +unsigned int CircBuf_Push (CircBuf_t *CBuf, unsigned char *data, unsigned int LenToPush); +unsigned int CircBuf_Pop (CircBuf_t *CBuf, unsigned char *data, unsigned int LenToPop); +unsigned int CircBuf_PopOneChar (CircBuf_t *CBuf, unsigned char *data); +unsigned char CircBuf_At(CircBuf_t *CBuf, unsigned int offset); +unsigned int CircBuf_Read(CircBuf_t *CBuf, unsigned char *data, unsigned int LenToRead); +void CircBuf_Drop(CircBuf_t *CBuf, unsigned int LenToDrop); +unsigned int CircBuf_GetAvalaibleSize (CircBuf_t *CBuf); +unsigned int CircBuf_GetUsedSize (CircBuf_t *CBuf); +unsigned int CircBuf_IsEmpty (CircBuf_t *CBuf); +unsigned int CircBuf_IsFull (CircBuf_t *CBuf); + +#ifdef __cplusplus +} +#endif + +#endif + diff --git a/Middlewares/mx_frame_core.c b/Middlewares/mx_frame_core.c new file mode 100644 index 0000000..956c5a9 --- /dev/null +++ b/Middlewares/mx_frame_core.c @@ -0,0 +1,161 @@ +#include "mx_frame_core.h" +#include "string.h" + +static uint16_t CalChecksum(uint8_t * data, uint16_t len) +{ + uint16_t sum = 0; + for(int i = 0; i < len; ++i) + { + sum += data[i]; + } + return sum; +} + + + +/* +ܣ֡մУ麯 +rev_buff--պһ֡ݵbuffַ,rev_buff_len--պһ֡ݵijȣ +أ֡ȷ + + +*/ +uint8_t mx_frame_rev(uint8_t* rev_buff, uint16_t rev_buff_len, mx_frame_struct *mx_out_frame) +{ + uint8_t scan_max_number = 30; + uint8_t state = 0; + uint16_t index = 0; + uint16_t start_index = 0; + uint16_t surplus_len = 0; + + uint16_t frame_sof = 0; + uint8_t frame_trantype = 0; + uint16_t frame_datalen = 0; + uint8_t *frame_data = NULL; + uint8_t frame_type = 0; + uint16_t frame_checksum = 0; + + + if(rev_buff_len < 8) + { + return FRAME_LEN_LITTLE; + } + + while(1) + { + switch(state) + { + case SOF_GET: + { + frame_sof = (rev_buff[index]<<8) + rev_buff[index + 1]; + index++; + surplus_len = rev_buff_len - index; + if(frame_sof == FRAME_HEAD) + { + start_index = index - 1; + state = TRANTYPE_GET; + index++; + } + else if(index == scan_max_number || surplus_len < 8) + { + return SOF_ERR; + } + } + break; + + case TRANTYPE_GET: + { + frame_trantype = rev_buff[index]; + index++; + state = DATALEN_GET; + } + break; + + case DATALEN_GET: + { + frame_datalen = rev_buff[index] + (rev_buff[index + 1]<<8); + index = index + 2; + surplus_len = rev_buff_len - index; + if(frame_datalen - 3 <= surplus_len) + { + state = TYPE_GET; + } + else + { + return DATA_LEN_OVER; + } + } + break; + + case TYPE_GET: + { + frame_type = rev_buff[index]; + index++; + state = DATA_GET; + } + break; + + case DATA_GET: + { + frame_data = &rev_buff[index]; + index = index + frame_datalen - 6; + state = CHECKSUM_GET; + } + break; + + case CHECKSUM_GET: + { + frame_checksum = (rev_buff[index + 1]<<8) + rev_buff[index]; + if(frame_checksum == CalChecksum((uint8_t*)&rev_buff[start_index], frame_datalen)) + { + mx_out_frame->type = frame_type; + mx_out_frame->trantype = frame_trantype; + mx_out_frame->sof = frame_sof; + mx_out_frame->datalen = frame_datalen; + mx_out_frame->data = frame_data; + //memcpy(mx_out_frame->data,frame_data,frame_datalen-6);//bug + mx_out_frame->checksum = frame_checksum; + return REV_SUCCESSFUL; + } + else + { + return CHECK_SUM_ERR; + } + } + + + } + + } +} + + +uint16_t create_frame(uint8_t *out_frame_buff, uint16_t out_fram_buff_len, mx_frame_struct *mx_input_frame) +{ + uint16_t num = 0; + uint16_t loop = 0; + uint16_t checksum = 0; + uint8_t *tx_buff = out_frame_buff; + + if(tx_buff == NULL) + { + return 0; + } + tx_buff[num++] = (uint8_t)SERIAL_HEAD; + tx_buff[num++] = SERIAL_HEAD>>8; + tx_buff[num++] = mx_input_frame->trantype; + tx_buff[num++] = (mx_input_frame->datalen + 6) & 0xff; + tx_buff[num++] = (mx_input_frame->datalen + 6) >> 8; + tx_buff[num++] = mx_input_frame->type; + for(loop = 0; loop < mx_input_frame->datalen; loop++) + { + tx_buff[num++] = mx_input_frame->data[loop]; + } + + checksum = CalChecksum(tx_buff, num); + + tx_buff[num++] = checksum & 0xff; + tx_buff[num] = checksum >> 8; + return num + 1; +} + diff --git a/Middlewares/mx_frame_core.h b/Middlewares/mx_frame_core.h new file mode 100644 index 0000000..a4fd601 --- /dev/null +++ b/Middlewares/mx_frame_core.h @@ -0,0 +1,43 @@ +#ifndef __MX_SERIAL_CORE_H +#define __MX_SERIAL_CORE_H +#include "at32a423.h" + +#define SERIAL_HEAD 0x5AA5 +#define FRAME_HEAD 0XA55A + +typedef enum +{ + DATA_SRC_ERR, + SOF_ERR, + DATA_LEN_OVER, + FRAME_LEN_LITTLE, + CHECK_SUM_ERR, + REV_SUCCESSFUL, +}mx_frame_rev_err; + +typedef enum +{ + SOF_GET = 0, + TRANTYPE_GET, + DATALEN_GET, + TYPE_GET, + DATA_GET, + CHECKSUM_GET, +}mx_frame_rev_enum; + + +#pragma pack (1) +typedef struct +{ + uint16_t sof; + uint8_t trantype; + uint16_t datalen; + uint8_t type; + uint8_t *data; + uint16_t checksum; +}mx_frame_struct; +#pragma pack () +uint8_t mx_frame_rev(uint8_t* rev_buff, uint16_t rev_buff_len, mx_frame_struct *mx_out_frame); +uint16_t create_frame(uint8_t *out_frame_buff, uint16_t out_fram_buff_len, mx_frame_struct *mx_input_frame); +#endif + diff --git a/Middlewares/mx_serial.c b/Middlewares/mx_serial.c new file mode 100644 index 0000000..ad4b703 --- /dev/null +++ b/Middlewares/mx_serial.c @@ -0,0 +1,28 @@ +#include "mx_serial.h" +#include "bsp_uart.h" +#include "mx_frame_core.h" +#include +uint8_t mx_serial_buff[MX_SERIAL_BUFF_SIZE]; + +uint16_t mx_serial_rx_parser(USART_COM_ID_T com_id,mx_frame_struct *mx_rx_frame) +{ + int32_t len = 0; + + len = usart_rx_get_rx_data_count(com_id); + memset(mx_serial_buff, 0, sizeof(mx_serial_buff)); // + usart_rx_recv(com_id,(uint8_t*)mx_serial_buff, len); + return mx_frame_rev(mx_serial_buff,sizeof(mx_serial_buff),mx_rx_frame); +} + + +uint16_t mx_serial_tx_frame(USART_COM_ID_T com_id, mx_frame_struct *mx_tx_frame) +{ + uint16_t len = 0; + + len = create_frame(mx_serial_buff,sizeof(mx_serial_buff),mx_tx_frame); + if(len) + { + len = usart_tx_push(com_id, mx_serial_buff,len); + } + return len; +} diff --git a/Middlewares/mx_serial.h b/Middlewares/mx_serial.h new file mode 100644 index 0000000..900a3bd --- /dev/null +++ b/Middlewares/mx_serial.h @@ -0,0 +1,8 @@ +#ifndef _MX_SERIAL_H +#define _MX_SERIAL_H +#define MX_SERIAL_BUFF_SIZE 1024 +#include "bsp_uart.h" +#include "mx_frame_core.h" +uint16_t mx_serial_rx_parser(USART_COM_ID_T com_id,mx_frame_struct *mx_rx_frame); +uint16_t mx_serial_tx_frame(USART_COM_ID_T com_id, mx_frame_struct *mx_tx_frame); +#endif diff --git a/Middlewares/mx_spi.c b/Middlewares/mx_spi.c new file mode 100644 index 0000000..9ea0249 --- /dev/null +++ b/Middlewares/mx_spi.c @@ -0,0 +1,84 @@ +#include "mx_spi.h" +#include "bsp_spi.h" +#include "string.h" +mx_spi_frame_struct mx_spi_frame = {0}; + + +static uint16_t CalChecksum(uint8_t * data, uint16_t len) +{ + uint16_t sum = 0; + for(int i = 0; i < len; ++i) + { + sum += data[i]; + } + return sum; +} + +uint8_t creat_mx_spi_frame(uint8_t device_id, uint8_t message_type, uint8_t error_flag, uint8_t *data, uint16_t data_len, mx_spi_frame_struct * mx_spi_out_frame) +{ + if(data_len != sizeof(mx_spi_out_frame->data)) + { + return 0; + } + else + { + mx_spi_out_frame->device_id = device_id; + mx_spi_out_frame->message_type = message_type; + mx_spi_out_frame->error_flag = error_flag; + memcpy(mx_spi_out_frame->data,data,data_len); + mx_spi_out_frame->check_sum = CalChecksum((uint8_t *)mx_spi_out_frame,sizeof(mx_spi_frame_struct)-1); + + return 1; + } +} + +void mx_spi_init(void) +{ + spi1_init((uint8_t *)&mx_spi_frame, sizeof(mx_spi_frame)); + +} + +void update_spi_data(uint8_t *sensor_data,uint16_t sensor_data_len) +{ + static mx_spi_frame_struct mx_spi_frame_temp = {0}; + + creat_mx_spi_frame(0x01,0x01,0x00,sensor_data,sensor_data_len,&mx_spi_frame_temp); + if(spi_i2s_flag_get(SPI1,SPI_I2S_BF_FLAG) == RESET) + { + if(SPI_SLAVE_CS_READ() == SET) + { + + memcpy((uint8_t *)&mx_spi_frame,(uint8_t *)&mx_spi_frame_temp,sizeof(mx_spi_frame_struct)); + + + } + } + + +} + +//ˢ±־ +void updata_spi_dma(void) +{ + static uint8_t busy = 0; + + if(spi_i2s_flag_get(SPI1,SPI_I2S_BF_FLAG) == RESET && SPI_SLAVE_CS_READ() == SET) + { + if(busy) + { + //mx_spi_init(); + busy = 0; + dma_channel_enable(DMA2_CHANNEL1, FALSE); + spi_enable(SPI1, FALSE); + spi_enable(SPI1, TRUE); + dma_data_number_set(DMA2_CHANNEL1, sizeof(mx_spi_frame)); + dma_channel_enable(DMA2_CHANNEL1, TRUE); + } + } + + if(spi_i2s_flag_get(SPI1,SPI_I2S_BF_FLAG) == SET && SPI_SLAVE_CS_READ() == RESET) + { + busy = 1; + } +} + diff --git a/Middlewares/mx_spi.h b/Middlewares/mx_spi.h new file mode 100644 index 0000000..6cdf970 --- /dev/null +++ b/Middlewares/mx_spi.h @@ -0,0 +1,19 @@ +#ifndef _MX_SPI_H +#define _MX_SPI_H +#include "at32a423.h" +#include "main.h" +typedef struct +{ + uint8_t : 2; + uint8_t message_type : 2; + uint8_t device_id : 4; + uint8_t data[AX_NUM*AY_NUM]; + uint8_t error_flag; + uint8_t check_sum; +}mx_spi_frame_struct; + +void mx_spi_init(void); +void update_spi_data(uint8_t *sensor_data,uint16_t sensor_data_len); +void updata_spi_dma(void); +#endif + diff --git a/Middlewares/priv_malloc.c b/Middlewares/priv_malloc.c new file mode 100644 index 0000000..f5736ae --- /dev/null +++ b/Middlewares/priv_malloc.c @@ -0,0 +1,192 @@ +#include "priv_malloc.h" + +//ڴ(32ֽڶ) +__attribute__((aligned (32))) uint8_t mem1base[MEM1_MAX_SIZE]; //ڲSRAMڴ +__attribute__((aligned (32))) uint8_t mem2base[MEM2_MAX_SIZE]; //ڲSRAMڴ +__attribute__((aligned (32))) uint16_t mem1mapbase[MEM1_ALLOC_TABLE_SIZE]; +__attribute__((aligned (32))) uint16_t mem2mapbase[MEM2_ALLOC_TABLE_SIZE]; +//ڴ +const uint32_t memtblsize[SRAMBANK] = {MEM1_ALLOC_TABLE_SIZE, MEM2_ALLOC_TABLE_SIZE}; //ڴС +const uint32_t memblksize[SRAMBANK] = {MEM1_BLOCK_SIZE, MEM2_BLOCK_SIZE}; //ڴֿС +const uint32_t memsize[SRAMBANK]={MEM1_MAX_SIZE, MEM2_MAX_SIZE}; //ڴܴС + + +//ڴ +struct _m_mallco_dev mallco_dev= +{ + my_mem_init, //ڴʼ + my_mem_perused, //ڴʹ + mem1base, //ڴ + mem2base, //ڴ + mem1mapbase, + mem2mapbase, + 0,0 //ڴδ +}; + +//ڴ +//*des:Ŀĵַ +//*src:Դַ +//n:ҪƵڴ泤(ֽΪλ) +void mymemcpy(void *des,void *src,uint32_t n) +{ + uint8_t *xdes=des; + uint8_t *xsrc=src; + while(n--)*xdes++=*xsrc++; +} +//ڴ +//*s:ڴ׵ַ +//c :Ҫõֵ +//count:ҪõڴС(ֽΪλ) +void mymemset(void *s,uint8_t c,uint32_t count) +{ + uint8_t *xs = s; + while(count--)*xs++=c; +} +//ڴʼ +//memx:ڴ +void my_mem_init(uint8_t memx) +{ + mymemset(mallco_dev.memmap[memx], 0, memtblsize[memx] * 2);//ڴ״̬ + mymemset(mallco_dev.membase[memx], 0, memsize[memx]); //ڴ + mallco_dev.memrdy[memx]=1; //ڴʼOK +} +//ȡڴʹ +//memx:ڴ +//ֵ:ʹ(0~100) +uint8_t my_mem_perused(uint8_t memx) +{ + uint32_t used=0; + uint32_t i; + for(i = 0; i < memtblsize[memx]; i ++) + { + if(mallco_dev.memmap[memx][i])used++; + } + return (used * 100) / (memtblsize[memx]); +} +//ڴ(ڲ) +//memx:ڴ +//size:ҪڴС(ֽ) +//ֵ:0XFFFFFFFF,;,ڴƫƵַ +uint32_t my_mem_malloc(uint8_t memx,uint32_t size) +{ + signed long offset=0; + uint32_t nmemb; //Ҫڴ + uint32_t cmemb = 0;//ڴ + uint32_t i; + if(!mallco_dev.memrdy[memx])mallco_dev.init(memx);//δʼ,ִгʼ + if(size == 0) return 0XFFFFFFFF;//Ҫ + nmemb = size/memblksize[memx]; //ȡҪڴ + if(size%memblksize[memx]) nmemb++; + for(offset = memtblsize[memx] - 1; offset >= 0; offset --)//ڴ + { + if(!mallco_dev.memmap[memx][offset]) cmemb++;//ڴ + else cmemb = 0; //ڴ + if(cmemb == nmemb) //ҵnmembڴ + { + for(i = 0; i < nmemb; i ++) //עڴǿ + { + mallco_dev.memmap[memx][offset + i] = nmemb; + } + return (offset * memblksize[memx]);//ƫƵַ + } + } + return 0XFFFFFFFF;//δҵϷڴ +} +//ͷڴ(ڲ) +//memx:ڴ +//offset:ڴַƫ +//ֵ:0,ͷųɹ;1,ͷʧ; +uint8_t my_mem_free(uint8_t memx,uint32_t offset) +{ + int i; + if(!mallco_dev.memrdy[memx])//δʼ,ִгʼ + { + mallco_dev.init(memx); + return 1;//δʼ + } + if(offset + + + + + + + + diff --git a/Project/JLinkSettings.ini b/Project/JLinkSettings.ini new file mode 100644 index 0000000..0028fb3 --- /dev/null +++ b/Project/JLinkSettings.ini @@ -0,0 +1,46 @@ +[BREAKPOINTS] +ForceImpTypeAny = 0 +ShowInfoWin = 1 +EnableFlashBP = 2 +BPDuringExecution = 0 +[CFI] +CFISize = 0x00 +CFIAddr = 0x00 +[CPU] +MonModeVTableAddr = 0xFFFFFFFF +MonModeDebug = 0 +MaxNumAPs = 0 +LowPowerHandlingMode = 0 +OverrideMemMap = 0 +AllowSimulation = 1 +ScriptFile="" +[FLASH] +RMWThreshold = 0x400 +Loaders="" +EraseType = 0x00 +CacheExcludeSize = 0x00 +CacheExcludeAddr = 0x00 +MinNumBytesFlashDL = 0 +SkipProgOnCRCMatch = 1 +VerifyDownload = 1 +AllowCaching = 1 +EnableFlashDL = 2 +Override = 0 +Device="ARM7" +[GENERAL] +WorkRAMSize = 0x00 +WorkRAMAddr = 0x00 +RAMUsageLimit = 0x00 +[SWO] +SWOLogFile="" +[MEM] +RdOverrideOrMask = 0x00 +RdOverrideAndMask = 0xFFFFFFFF 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+ + + + 0 + 3440 + 1440 + + + + + + 3 + 0 + + 50 + 0 + + ..\App\app_scan.c + 22 + 60 + 89 + 1 + + 0 + + + + 50 + 0 + + ..\Lib\resi_math_lib.h + 19 + 22 + 32 + 1 + + 0 + + + ..\App\main.c + 1 + 197 + 226 + 1 + + 0 + + + + + diff --git a/Project/template.uvoptx b/Project/template.uvoptx new file mode 100644 index 0000000..ee1e461 --- /dev/null +++ b/Project/template.uvoptx @@ -0,0 +1,1034 @@ + + + + 1.0 + +
### uVision Project, (C) Keil Software
+ + + *.c + *.s*; *.src; *.a* + *.obj; *.o + *.lib + *.txt; *.h; *.inc; *.md + *.plm + *.cpp; *.cc; *.cxx + 0 + + + + 0 + 0 + + + + template + 0x4 + ARM-ADS + + 12000000 + + 1 + 1 + 0 + 1 + 0 + + + 1 + 65535 + 0 + 0 + 0 + + + 79 + 66 + 8 + .\listings\ + + + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 0 + + + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 0 + + + 1 + 0 + 1 + + 255 + + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 3 + + + + + + + + + + + BIN\CMSIS_AGDI.dll + + + + 0 + DLGUARM + + + + 0 + CMSIS_AGDI + -X"Any" -UAny -O206 -S0 -C0 -P00000000 -N00("ARM CoreSight SW-DP") -D00(2BA01477) -L00(0) -TO65554 -TC10000000 -TT10000000 -TP20 -TDS8007 -TDT0 -TDC1F -TIEFFFFFFFF -TIP8 -FO31 -FD20000000 -FC1000 -FN1 -FF0AT32A423_256.FLM -FS08000000 -FL040000 -FP0($$Device:AT32A423CCU7$Flash\AT32A423_256.FLM) + + + 0 + UL2CM3 + UL2CM3(-S0 -C0 -P0 ) -FN1 -FC1000 -FD20000000 -FF0AT32A423_256 -FL040000 -FS08000000 -FP0($$Device:AT32A423CCU7$Flash\AT32A423_256.FLM) + + + 0 + JL2CM3 + -U4294967295 -O78 -S2 -ZTIFSpeedSel5000 -A0 -C0 -JU1 -JI127.0.0.1 -JP0 -RST0 -N00("ARM CoreSight SW-DP") -D00(2BA01477) -L00(0) -TO19 -TC120000000 -TP21 -TDS800F -TDT0 -TDC1F -TIEFFFFFFFF -TIP8 -TB1 -TFE0 -FO15 -FD20000000 -FC1000 -FN1 -FF0AT32A423_256.FLM -FS08000000 -FL040000 -FP0($$Device:AT32A423CCU7$Flash\AT32A423_256.FLM) + + + 0 + ARMRTXEVENTFLAGS + -L70 -Z18 -C0 -M0 -T1 + + + 0 + DLGTARM + (1010=-1,-1,-1,-1,0)(1007=-1,-1,-1,-1,0)(1008=-1,-1,-1,-1,0)(1009=-1,-1,-1,-1,0)(1012=-1,-1,-1,-1,0) + + + 0 + ARMDBGFLAGS + + + + + + + 0 + 1 + g_system_tick,0x0A + + + 1 + 1 + temp_adc_value,0x0A + + + 2 + 1 + cailed_sensor_data + + + 3 + 1 + flash_params + + + 4 + 1 + g_buf,0x0A + + + 5 + 1 + scan_num,0x0A + + + 6 + 1 + counter_fps1,0x0A + + + 7 + 1 + temp_adc_value,0x0A + + + 8 + 1 + adc_v,0x0A + + + 9 + 1 + task_tick,0x0A + + + 10 + 1 + counter_fps,0x0A + + + 11 + 1 + counter_fps1,0x0A + + + 12 + 1 + scan_num,0x0A + + 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at32a423_dma.c + 0 + 0 + + + 5 + 33 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_ertc.c + at32a423_ertc.c + 0 + 0 + + + 5 + 34 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_exint.c + at32a423_exint.c + 0 + 0 + + + 5 + 35 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_flash.c + at32a423_flash.c + 0 + 0 + + + 5 + 36 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_gpio.c + at32a423_gpio.c + 0 + 0 + + + 5 + 37 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_i2c.c + at32a423_i2c.c + 0 + 0 + + + 5 + 38 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_misc.c + at32a423_misc.c + 0 + 0 + + + 5 + 39 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_pwc.c + at32a423_pwc.c + 0 + 0 + + + 5 + 40 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_scfg.c + at32a423_scfg.c + 0 + 0 + + + 5 + 41 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_spi.c + at32a423_spi.c + 0 + 0 + + + 5 + 42 + 1 + 0 + 0 + 0 + ..\Firmware\drivers\src\at32a423_tmr.c + at32a423_tmr.c + 0 + 0 + + + 5 + 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..\app_cail\moxzen_protocol\mozen_protocol.c + mozen_protocol.c + 0 + 0 + + + 7 + 53 + 1 + 0 + 0 + 0 + ..\app_cail\moxzen_protocol\mozen_tunnel.c + mozen_tunnel.c + 0 + 0 + + + 7 + 54 + 1 + 0 + 0 + 0 + ..\app_cail\app_calibration.c + app_calibration.c + 0 + 0 + + + 7 + 55 + 1 + 0 + 0 + 0 + ..\app_cail\port\bsp_fmc_flash.c + bsp_fmc_flash.c + 0 + 0 + + + 7 + 56 + 1 + 0 + 0 + 0 + ..\app_cail\port\flash_port.c + flash_port.c + 0 + 0 + + + 7 + 57 + 1 + 0 + 0 + 0 + ..\app_cail\mx_log\logRTT\log_rtt.c + log_rtt.c + 0 + 0 + + + 7 + 58 + 1 + 0 + 0 + 0 + ..\app_cail\mx_log\mx_log.c + mx_log.c + 0 + 0 + + + + diff --git a/Project/template.uvprojx b/Project/template.uvprojx new file mode 100644 index 0000000..2ff3bb8 --- /dev/null +++ b/Project/template.uvprojx @@ -0,0 +1,880 @@ + + + + 2.1 + +
### uVision Project, (C) Keil Software
+ + + + template + 0x4 + ARM-ADS + 5060960::V5.06 update 7 (build 960)::.\ARMCC + 0 + + + AT32A423CCU7 + ArteryTek + ArteryTek.AT32A423_DFP.2.0.4 + IRAM(0x20000000,0xC000) IROM(0x08000000,0x40000) CPUTYPE("Cortex-M4") FPU2 CLOCK(12000000) ELITTLE + + + UL2CM3(-S0 -C0 -P0 -FD20000000 -FC1000 -FN1 -FF0AT32A423_256 -FS08000000 -FL040000 -FP0($$Device:AT32A423CCU7$Flash\AT32A423_256.FLM)) + 0 + $$Device:AT32A423CCU7$Device\Include\at32a423.h + + + + + + + + + + $$Device:AT32A423CCU7$SVD\AT32A423xx_v2.svd + 0 + 0 + + + + + + + 0 + 0 + 0 + 0 + 1 + + .\objects\ + template + 1 + 0 + 1 + 1 + 1 + .\listings\ + 1 + 0 + 0 + + 0 + 0 + + + 0 + 0 + 0 + 0 + + + 0 + 0 + + + 0 + 0 + 0 + 0 + + + 0 + 0 + + + 0 + 0 + 0 + 0 + + 0 + + + + 0 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 3 + + + 0 + + + SARMCM3.DLL + -REMAP -MPU + DCM.DLL + -pCM4 + SARMCM3.DLL + -MPU + TCM.DLL + -pCM4 + + + + 1 + 0 + 0 + 0 + 16 + + + + + 1 + 0 + 0 + 1 + 1 + 4096 + + 1 + BIN\UL2CM3.DLL + "" () + + + + + 0 + + + + 0 + 1 + 1 + 1 + 1 + 1 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..\Firmware\drivers\inc;..\Firmware\cmsis\cm4\core_support;..\Firmware\cmsis\cm4\device_support;..\Bsp;..\App;..\Middlewares;..\lib;..\Common;..\Bsp\map;..\Bsp\cal_creep;..\app_cail\lib_math_cail;..\app_cail\moxzen_protocol;..\app_cail\mx_log\logRTT\SEGGER_RTT_V782c\Config;..\app_cail\mx_log\logRTT\SEGGER_RTT_V782c\RTT;..\app_cail\port;..\app_cail;..\app_cail\mx_log + + + + 1 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 4 + + + + + + + + + 1 + 0 + 0 + 0 + 1 + 0 + 0x08000000 + 0x20000000 + + + + + + + + + + + + + app + + + main.c + 1 + ..\App\main.c + + + app_get_json.c + 1 + ..\App\app_get_json.c + + + app_scan.c + 1 + ..\App\app_scan.c + + + app_soft.c + 1 + ..\App\app_soft.c + + + + + common + + + system_at32a423.c + 1 + ..\Firmware\cmsis\cm4\device_support\system_at32a423.c + + + startup_at32a423.s + 2 + ..\Firmware\cmsis\cm4\device_support\startup\mdk\startup_at32a423.s + + + sysconfig.c + 1 + ..\Common\sysconfig.c + + + systick.c + 1 + ..\Common\systick.c + + + at32a423_clock.c + 1 + ..\Common\at32a423_clock.c + + + at32a423_int.c + 1 + ..\Common\at32a423_int.c + + + + + bsp + + + bsp_led.c + 1 + ..\Bsp\bsp_led.c + + + bsp_uart.c + 1 + ..\Bsp\bsp_uart.c + + + bsp_adc.c + 1 + ..\Bsp\bsp_adc.c + + + bsp_can.c + 1 + ..\Bsp\bsp_can.c + + + bsp_74hc595.c + 1 + ..\Bsp\bsp_74hc595.c + + + bsp_rs2251.c + 1 + ..\Bsp\bsp_rs2251.c + + + bsp_spi.c + 1 + ..\Bsp\bsp_spi.c + + + bsp_flash.c + 1 + ..\Bsp\bsp_flash.c + + + + + middlewares + + + circular_buffer.c + 1 + ..\Middlewares\circular_buffer.c + + + priv_malloc.c + 1 + ..\Middlewares\priv_malloc.c + + + mx_frame_core.c + 1 + ..\Middlewares\mx_frame_core.c + + + mx_serial.c + 1 + ..\Middlewares\mx_serial.c + + + mx_spi.c + 1 + ..\Middlewares\mx_spi.c + + + cJSON.c + 1 + ..\Middlewares\cJSON.c + + + + + firmware + + + at32a423_acc.c + 1 + ..\Firmware\drivers\src\at32a423_acc.c + + + at32a423_adc.c + 1 + ..\Firmware\drivers\src\at32a423_adc.c + + + at32a423_can.c + 1 + ..\Firmware\drivers\src\at32a423_can.c + + + at32a423_crc.c + 1 + ..\Firmware\drivers\src\at32a423_crc.c + + + at32a423_crm.c + 1 + ..\Firmware\drivers\src\at32a423_crm.c + + + at32a423_dac.c + 1 + ..\Firmware\drivers\src\at32a423_dac.c + + + at32a423_debug.c + 1 + ..\Firmware\drivers\src\at32a423_debug.c + + + at32a423_dma.c + 1 + ..\Firmware\drivers\src\at32a423_dma.c + + + at32a423_ertc.c + 1 + ..\Firmware\drivers\src\at32a423_ertc.c + + + at32a423_exint.c + 1 + ..\Firmware\drivers\src\at32a423_exint.c + + + at32a423_flash.c + 1 + ..\Firmware\drivers\src\at32a423_flash.c + + + at32a423_gpio.c + 1 + ..\Firmware\drivers\src\at32a423_gpio.c + + + at32a423_i2c.c + 1 + ..\Firmware\drivers\src\at32a423_i2c.c + + + at32a423_misc.c + 1 + ..\Firmware\drivers\src\at32a423_misc.c + + + at32a423_pwc.c + 1 + ..\Firmware\drivers\src\at32a423_pwc.c + + + at32a423_scfg.c + 1 + ..\Firmware\drivers\src\at32a423_scfg.c + + + at32a423_spi.c + 1 + ..\Firmware\drivers\src\at32a423_spi.c + + + at32a423_tmr.c + 1 + ..\Firmware\drivers\src\at32a423_tmr.c + + + at32a423_usart.c + 1 + ..\Firmware\drivers\src\at32a423_usart.c + + + at32a423_usb.c + 1 + ..\Firmware\drivers\src\at32a423_usb.c + + + at32a423_wdt.c + 1 + ..\Firmware\drivers\src\at32a423_wdt.c + + + at32a423_wwdt.c + 1 + ..\Firmware\drivers\src\at32a423_wwdt.c + + + at32a423_xmc.c + 1 + ..\Firmware\drivers\src\at32a423_xmc.c + + + + + lib + + + lib_cal_creep_resistance.c + 1 + ..\Bsp\cal_creep\lib_cal_creep_resistance.c + + + cali_process.c + 1 + ..\app_cail\lib_math_cail\cali_process.c + + + resi_math_lib.lib + 4 + ..\Lib\resi_math_lib.lib + + + + + app_map + + + app_mozen_handler.c + 1 + ..\app_cail\moxzen_protocol\app_mozen_handler.c + + + mozen_protocol.c + 1 + ..\app_cail\moxzen_protocol\mozen_protocol.c + + + mozen_tunnel.c + 1 + ..\app_cail\moxzen_protocol\mozen_tunnel.c + + + app_calibration.c + 1 + ..\app_cail\app_calibration.c + + + bsp_fmc_flash.c + 1 + ..\app_cail\port\bsp_fmc_flash.c + + + 2 + 0 + 0 + 0 + 0 + 0 + 2 + 2 + 2 + 2 + 11 + + + 1 + + + + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 0 + 0 + 2 + 2 + 2 + 2 + 2 + + + + + + + + + + + + flash_port.c + 1 + ..\app_cail\port\flash_port.c + + + log_rtt.c + 1 + ..\app_cail\mx_log\logRTT\log_rtt.c + + + 2 + 0 + 0 + 0 + 0 + 0 + 2 + 2 + 2 + 2 + 11 + + + 1 + + + + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 0 + 0 + 2 + 2 + 2 + 2 + 2 + + + + + + + + + + + + mx_log.c + 1 + ..\app_cail\mx_log\mx_log.c + + + 2 + 0 + 0 + 0 + 0 + 0 + 2 + 2 + 2 + 2 + 11 + + + 1 + + + + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 0 + 2 + 2 + 2 + 2 + 2 + 0 + 0 + 2 + 2 + 2 + 2 + 2 + + + + + + + + + + + + + + + + + + + + + + + + + + template + 0 + 1 + + + + + diff --git a/app_cail/app_calibration.c b/app_cail/app_calibration.c new file mode 100644 index 0000000..ba9c1cf --- /dev/null +++ b/app_cail/app_calibration.c @@ -0,0 +1,1289 @@ +#include "app_calibration.h" +#include "flash_port.h" + +#include +#include + +#undef MX_LOGD +#undef MX_LOGI +#undef MX_LOGW +#undef MX_LOGE +#define MX_LOGD APP_CALI_LOGD +#define MX_LOGI APP_CALI_LOGI +#define MX_LOGW APP_CALI_LOGW +#define MX_LOGE APP_CALI_LOGE + +#define CALI_TAG "APP_CALIBRATION" + +#include "app_mozen_handler.h" +#include "lib_cal_creep_resistance.h" + +/*************************** Public Parameters **********************/ +volatile bool g_check_cali = false; +volatile bool g_reset_takeEffect = false; +volatile bool g_is_active_reporting = true; +volatile bool g_is_creep_enable = true; + +pressure_params_t* pressure_params = NULL; +/********************************************************************/ + +static app_device_status_t g_device_status = {0}; +static CALI_INFO_T cali_info = {0}; +static app_math_cali_t s_temp_cali = {0}; +static app_creep_params s_temp_creep = {5U, 20U}; +static uint16_t s_map_matrix[APP_MAP_MATRIX_WORDS] = {0}; + +static uint8_t sensor_data_payload[APP_SENSOR_FRAME_PAYLOAD_MAX_BYTES]; +static volatile bool s_is_payload_packing = false; + +#define APP_CREEP_DEFAULT_STRENGTH 2U +#define APP_CREEP_DEFAULT_LEVEL 10U + +/** + * @brief Get legacy device status + * @return Pointer to legacy status structure + */ +app_device_status_t* app_device_status_get(void) +{ + return &g_device_status; +} + +/** + * @brief Set legacy device status + * @param status Pointer to status data to apply + */ +void app_device_status_set(const app_device_status_t *status) +{ + if (status != NULL) { + g_device_status = *status; + } +} + +void app_device_status_init(void) +{ + memset(&g_device_status, 0x00, sizeof(g_device_status)); + g_device_status.sensor_tx_sw = 1; + g_device_status.tx_stopping = 0; + g_device_status.output_pick = 0; +} + +/** + * @brief Parse math calibration parameters from payload + * @param data Input byte buffer + * @param len Length of data + * @param out_params Output structure + * @return 1 on success, 0 on failure + */ +static uint8_t app_math_parse_payload(const uint8_t *data, uint16_t len, app_math_cali_t *out_params) +{ + if ((data == NULL) || (out_params == NULL) || (len < APP_MATH_PARAM_FRAME_SIZE)) { + return 0; + } + + out_params->max_trigger_res_value = (uint16_t)(((uint16_t)data[1] << 8) | data[0]); + out_params->min_trigger_res_value = (uint16_t)(((uint16_t)data[3] << 8) | data[2]); + out_params->div_trigger_res_value = (uint16_t)(((uint16_t)data[5] << 8) | data[4]); + out_params->max_display_value = (uint16_t)(((uint16_t)data[7] << 8) | data[6]); + + if (out_params->min_trigger_res_value >= out_params->max_trigger_res_value) { + return 0; + } + return 1; +} +uint16_t g_buf[5]; +/** + * @brief Apply math calibration parameters to runtime algorithms + * @param params Parameter structure + */ +static void app_math_apply_runtime(const app_math_cali_t *params) +{ + if (params == NULL) { + return; + } + + MX_LOGI(CALI_TAG, "Math apply runtime: min=%u max=%u div=%u max_display=%u", + (unsigned int)params->min_trigger_res_value, + (unsigned int)params->max_trigger_res_value, + (unsigned int)params->div_trigger_res_value, + (unsigned int)params->max_display_value); + g_buf[0] = params->max_trigger_res_value; + g_buf[1] = params->min_trigger_res_value; + g_buf[2] = params->div_trigger_res_value; + g_buf[3] = MAX_DISPLAY_ADC_VALUE; + g_buf[4] = params->max_display_value; + math_resi_init(params->max_trigger_res_value, + params->min_trigger_res_value, + params->div_trigger_res_value, + MAX_DISPLAY_ADC_VALUE, + params->max_display_value); + + +} + +/** + * @brief Set default creep parameters + * @param params Parameter structure + */ +static void app_creep_set_default(app_creep_params *params) +{ + if (params == NULL) { + return; + } + + params->creep_strength = APP_CREEP_DEFAULT_STRENGTH; + params->creep_level = APP_CREEP_DEFAULT_LEVEL; +} + +/** + * @brief Apply creep parameters to runtime algorithms + * @param params Parameter structure + */ +static void app_creep_apply_runtime(const app_creep_params *params) +{ + if (params == NULL) { + return; + } + + MX_LOGI(CALI_TAG, "Creep apply runtime: strength=%u level=%u", + (unsigned int)params->creep_strength, + (unsigned int)params->creep_level); + + cal_creep_resistance_init(params->creep_strength, params->creep_level); +} + +/** + * @brief Set default device info + * @param dev_info Device info structure + */ +static void app_device_info_set_default(app_dev_info *dev_info) +{ + char sensor_size_text[16] = {0}; + + if (dev_info == NULL) { + return; + } + + memset(dev_info, 0, sizeof(app_dev_info)); + memcpy(dev_info->pn, DEFAULT_PN, sizeof(DEFAULT_PN) - 1); + memcpy(dev_info->sn, DEFAULT_SN, sizeof(DEFAULT_SN) - 1); + memcpy(dev_info->sw_ver, DEFAULT_SW_VER, sizeof(DEFAULT_SW_VER) - 1); + memcpy(dev_info->hw_ver, DEFAULT_HW_VER, sizeof(DEFAULT_HW_VER) - 1); + + (void)snprintf(sensor_size_text, + sizeof(sensor_size_text), + "%u,%u", + (unsigned int)MT_AX_NUM, + (unsigned int)MT_AY_NUM); + memcpy(dev_info->sensor_size, sensor_size_text, strlen(sensor_size_text)); + memcpy(dev_info->protocol_ver, APP_DEVICE_PROTOCOL_VER, strlen(APP_DEVICE_PROTOCOL_VER)); +} + +/** + * @brief Ensure device info strings are properly null-terminated + * @param dev_info Device info structure + */ +static void app_device_info_normalize(app_dev_info *dev_info) +{ + if (dev_info == NULL) { + return; + } + + dev_info->pn[sizeof(dev_info->pn) - 1U] = '\0'; + dev_info->sn[sizeof(dev_info->sn) - 1U] = '\0'; + dev_info->sw_ver[sizeof(dev_info->sw_ver) - 1U] = '\0'; + dev_info->hw_ver[sizeof(dev_info->hw_ver) - 1U] = '\0'; + dev_info->sensor_size[sizeof(dev_info->sensor_size) - 1U] = '\0'; + dev_info->protocol_ver[sizeof(dev_info->protocol_ver) - 1U] = '\0'; +} + +/** + * @brief Validate device info structure fields + * @param dev_info Device info structure + * @return 1 if valid, 0 otherwise + */ +static uint8_t app_device_info_is_valid(const app_dev_info *dev_info) +{ + if (dev_info == NULL) { + return 0; + } + + if ((dev_info->pn[0] == '\0') || (dev_info->sn[0] == '\0') || + (dev_info->sw_ver[0] == '\0') || (dev_info->hw_ver[0] == '\0')) { + return 0; + } + + if (((uint8_t)dev_info->pn[0] == 0xFFU) || + ((uint8_t)dev_info->sn[0] == 0xFFU) || + ((uint8_t)dev_info->sw_ver[0] == 0xFFU) || + ((uint8_t)dev_info->hw_ver[0] == 0xFFU)) { + return 0; + } + + if ((memchr(dev_info->pn, '\0', sizeof(dev_info->pn)) == NULL) || + (memchr(dev_info->sn, '\0', sizeof(dev_info->sn)) == NULL) || + (memchr(dev_info->sw_ver, '\0', sizeof(dev_info->sw_ver)) == NULL) || + (memchr(dev_info->hw_ver, '\0', sizeof(dev_info->hw_ver)) == NULL)) { + return 0; + } + + return 1; +} + +/** + * @brief Build 8-bit sensor payload + * @param sensor_data 2D array of sensor data + * @param payload Output buffer + * @param payload_size Output buffer size + * @param payload_len Actual payload length + * @return 1 on success, 0 on failure + */ +uint8_t app_calibration_build_sensor8bit_payload(const uint8_t (*sensor_data)[MT_AY_NUM], + uint8_t *payload, + uint16_t payload_size, + uint16_t *payload_len) +{ + uint16_t matrix_count = (uint16_t)(MT_AX_NUM * MT_AY_NUM); + uint16_t need_len; + + if ((sensor_data == NULL) || (payload == NULL) || (payload_len == NULL)) { + return 0U; + } + + need_len = (uint16_t)(1U + matrix_count); + if (payload_size < need_len) { + return 0U; + } + + payload[0] = 0x01U; + memcpy(&payload[1], sensor_data, (size_t)(need_len - 1U)); + *payload_len = need_len; + return 1U; +} + +/** + * @brief Build 16-bit sensor payload + * @param sensor_data 2D array of sensor data + * @param payload Output buffer + * @param payload_size Output buffer size + * @param payload_len Actual payload length + * @return 1 on success, 0 on failure + */ +uint8_t app_calibration_build_sensor16bit_payload(const uint16_t (*sensor_data)[MT_AY_NUM], + uint8_t *payload, + uint16_t payload_size, + uint16_t *payload_len) +{ + uint16_t matrix_count = (uint16_t)(MT_AX_NUM * MT_AY_NUM); + uint16_t need_len; + + if ((sensor_data == NULL) || (payload == NULL) || (payload_len == NULL)) { + return 0U; + } + + need_len = (uint16_t)(1U + (matrix_count * (uint16_t)sizeof(uint16_t))); + if (payload_size < need_len) { + return 0U; + } + + payload[0] = 0x02U; + memcpy(&payload[1], sensor_data, (size_t)(need_len - 1U)); + *payload_len = need_len; + return 1U; +} + +/** + * @brief Initialize math parameters + * @return 1 on success, 0 on failure + */ +uint8_t app_math_init(uint16_t *min_trigger_res_value, + uint16_t *max_trigger_res_value, + uint16_t *div_trigger_res_value, + uint16_t *max_display_value, + uint16_t *sensor_data_type) +{ + app_math_cali_t flash_params; + + if ((min_trigger_res_value == NULL) || + (max_trigger_res_value == NULL) || + (div_trigger_res_value == NULL) || + (max_display_value == NULL) || + (sensor_data_type == NULL)) { + MX_LOGE(CALI_TAG, "Math init bad output pointers"); + return 0; + } + + if (!flash_port_math_load(&flash_params)) { + MX_LOGE(CALI_TAG, "Math init load flash params failed"); + return 0; + } + + if (flash_params.check_cail != APP_CALI_STATUS_CALIBRATED) { + MX_LOGW(CALI_TAG, "Math init skipped: not calibrated"); + return 0; + } + + if (flash_params.min_trigger_res_value >= flash_params.max_trigger_res_value) { + MX_LOGE(CALI_TAG, "Math init invalid range, min=%u max=%u", + (unsigned int)flash_params.min_trigger_res_value, + (unsigned int)flash_params.max_trigger_res_value); + return 0; + } + + *min_trigger_res_value = flash_params.min_trigger_res_value; + *max_trigger_res_value = flash_params.max_trigger_res_value; + *div_trigger_res_value = flash_params.div_trigger_res_value; + *max_display_value = flash_params.max_display_value; + *sensor_data_type = flash_params.sensor_data_type; + + app_math_apply_runtime(&flash_params); + MX_LOGI(CALI_TAG, "Math init from calibration flash params"); + return 1; +} + +/** + * @brief Get current temporary math parameters + * @param out_params Output parameter structure pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_get_temp_params(app_math_cali_t *out_params) +{ + if (out_params == NULL) { + MX_LOGE(CALI_TAG, "Math get temp bad arg"); + return 0; + } + out_params->max_trigger_res_value = s_temp_cali.max_trigger_res_value; + + out_params->min_trigger_res_value = s_temp_cali.min_trigger_res_value; + out_params->div_trigger_res_value = s_temp_cali.div_trigger_res_value; + out_params->max_display_value = s_temp_cali.max_display_value; + out_params->sensor_data_type = s_temp_cali.sensor_data_type; + + return 1; +} + +/** + * @brief Set current temporary math parameters + * @param params Input parameter structure pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_set_temp_params(const app_math_cali_t *params) +{ + if (params == NULL) { + MX_LOGE(CALI_TAG, "Math set temp bad arg"); + return 0; + } + + s_temp_cali.min_trigger_res_value = params->min_trigger_res_value; + s_temp_cali.max_trigger_res_value = params->max_trigger_res_value; + s_temp_cali.div_trigger_res_value = params->div_trigger_res_value; + s_temp_cali.max_display_value = params->max_display_value; + s_temp_cali.sensor_data_type = params->sensor_data_type; + + app_math_apply_runtime(&s_temp_cali); + + // Persist the effective sensor_data_type together with runtime params + if (!flash_port_math_save(&s_temp_cali)) { + MX_LOGE(CALI_TAG, "Save math params failed"); + return 0; + } + + return 1; +} + +/** + * @brief Apply temporary math parameters immediately from a byte buffer + * @param data Input data buffer pointer + * @param len Length of the buffer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_write_temp_params(const uint8_t *data, uint16_t len) +{ + app_math_cali_t params; + + if (!app_math_parse_payload(data, len, ¶ms)) { + MX_LOGE(CALI_TAG, "Math temp parse failed, len=%u", (unsigned int)len); + return 0; + } + + s_temp_cali.min_trigger_res_value = params.min_trigger_res_value; + s_temp_cali.max_trigger_res_value = params.max_trigger_res_value; + s_temp_cali.div_trigger_res_value = params.div_trigger_res_value; + s_temp_cali.max_display_value = params.max_display_value; + + app_math_apply_runtime(&s_temp_cali); + return 1; +} + +/** + * @param data Input data buffer pointer + * @param len Length of the buffer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_save_params(const uint8_t *data, uint16_t len) +{ + app_math_cali_t flash_params; + + if (!app_math_write_temp_params(data, len)) { + return 0; + } + + if (flash_port_math_load(&flash_params)) { + s_temp_cali.check_cail = flash_params.check_cail; + } else { + s_temp_cali.check_cail = APP_CALI_STATUS_UNCALIBRATED; + } + + if (!flash_port_math_save(&s_temp_cali)) { + MX_LOGE(CALI_TAG, "Save math params failed"); + return 0; + } + + if (!flash_port_math_load(&flash_params)) { + MX_LOGE(CALI_TAG, "Verify math params failed"); + } + + app_math_apply_runtime(&flash_params); + return 1; +} + +/** + * @brief Clear math parameters to default values + * @return 1 on success, 0 on failure + */ +uint8_t app_math_clear_params(void) +{ + app_math_cali_t default_params = {0}; + + default_params.min_trigger_res_value = DEFAULT_MIN_TRIGGER_RES_VALUE; + default_params.max_trigger_res_value = DEFAULT_MAX_TRIGGER_RES_VALUE; + default_params.div_trigger_res_value = DEFAULT_DIV_TRIGGER_RES_VALUE; + default_params.max_display_value = DEFAULT_MAX_DISPLAY_VALUE; + default_params.check_cail = APP_CALI_STATUS_UNCALIBRATED; + + app_math_apply_runtime(&default_params); + + s_temp_cali.check_cail = APP_CALI_STATUS_UNCALIBRATED; + s_temp_cali.min_trigger_res_value = default_params.min_trigger_res_value; + s_temp_cali.max_trigger_res_value = default_params.max_trigger_res_value; + s_temp_cali.div_trigger_res_value = default_params.div_trigger_res_value; + s_temp_cali.max_display_value = default_params.max_display_value; + + return flash_port_math_save(&s_temp_cali); +} + +/** + * @brief Read temporary math parameters into response buffer + * @param response_buf Output buffer + * @param response_len Output length pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_read_temp_params(uint8_t *response_buf, uint16_t *response_len) +{ + if ((response_buf == NULL) || (response_len == NULL)) { + MX_LOGE(CALI_TAG, "Read temp math params bad arg"); + return 0; + } + + response_buf[0] = (uint8_t)(s_temp_cali.max_trigger_res_value & 0xFFU); + response_buf[1] = (uint8_t)((s_temp_cali.max_trigger_res_value >> 8) & 0xFFU); + response_buf[2] = (uint8_t)(s_temp_cali.min_trigger_res_value & 0xFFU); + response_buf[3] = (uint8_t)((s_temp_cali.min_trigger_res_value >> 8) & 0xFFU); + response_buf[4] = (uint8_t)(s_temp_cali.div_trigger_res_value & 0xFFU); + response_buf[5] = (uint8_t)((s_temp_cali.div_trigger_res_value >> 8) & 0xFFU); + response_buf[6] = (uint8_t)(s_temp_cali.max_display_value & 0xFFU); + response_buf[7] = (uint8_t)((s_temp_cali.max_display_value >> 8) & 0xFFU); + + *response_len = APP_MATH_PARAM_FRAME_SIZE; + return 1; +} + +/** + * @brief Read solidified math parameters from Flash + * @param response_buf Output buffer + * @param response_len Output length pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_math_read_solidified_params(uint8_t *response_buf, uint16_t *response_len) +{ + app_math_cali_t flash_params; + + if ((response_buf == NULL) || (response_len == NULL)) { + MX_LOGE(CALI_TAG, "Read flash math params bad arg"); + return 0; + } + + if (!flash_port_math_load(&flash_params)) { + MX_LOGE(CALI_TAG, "Load flash math params failed"); + memset(response_buf, 0xFF, APP_MATH_PARAM_FRAME_SIZE); + *response_len = APP_MATH_PARAM_FRAME_SIZE; + return 0; + } + + response_buf[0] = (uint8_t)(flash_params.max_trigger_res_value & 0xFFU); + response_buf[1] = (uint8_t)((flash_params.max_trigger_res_value >> 8) & 0xFFU); + response_buf[2] = (uint8_t)(flash_params.min_trigger_res_value & 0xFFU); + response_buf[3] = (uint8_t)((flash_params.min_trigger_res_value >> 8) & 0xFFU); + response_buf[4] = (uint8_t)(flash_params.div_trigger_res_value & 0xFFU); + response_buf[5] = (uint8_t)((flash_params.div_trigger_res_value >> 8) & 0xFFU); + response_buf[6] = (uint8_t)(flash_params.max_display_value & 0xFFU); + response_buf[7] = (uint8_t)((flash_params.max_display_value >> 8) & 0xFFU); + + *response_len = APP_MATH_PARAM_FRAME_SIZE; + return 1; +} + +/** + * @brief Initialize pressure parameters from Flash + * @return Pointer to pressure_params_t or NULL if failed + */ +pressure_params_t *app_pressure_init(void) +{ + if (!flash_port_pressure_load(&s_temp_cali)) { + s_temp_cali.check_cail = APP_CALI_STATUS_UNCALIBRATED; + s_temp_cali.min_trigger_res_value = DEFAULT_MIN_TRIGGER_RES_VALUE; + s_temp_cali.max_trigger_res_value = DEFAULT_MAX_TRIGGER_RES_VALUE; + s_temp_cali.div_trigger_res_value = DEFAULT_DIV_TRIGGER_RES_VALUE; + s_temp_cali.max_display_value = DEFAULT_MAX_DISPLAY_VALUE; + s_temp_cali.num_points = 0; + memset(s_temp_cali.pressure_points, 0, sizeof(s_temp_cali.pressure_points)); + return NULL; + } + + return &s_temp_cali; +} + +/** + * @brief Write temporary pressure parameters from buffer + * @param data Buffer pointer + * @param len Length of the data + * @return 1 on success, 0 on failure + */ +uint8_t app_pressure_write_temp_params(const uint8_t *data, uint16_t len) +{ + uint16_t num_points; + + if ((data == NULL) || (len < 2U)) { + MX_LOGE(CALI_TAG, "Pressure temp write bad arg, len=%u", (unsigned int)len); + return 0; + } +// mx_log_hex_frame(CALI_TAG, data, len); + + num_points = (uint16_t)data[0]; + MX_LOGD(CALI_TAG, "Pressure temp write num_points=%u len=%u", (unsigned int)num_points, (unsigned int)len); + + if (num_points > MAX_PRESSURE_POINTS) { + MX_LOGE(CALI_TAG, "Pressure temp write invalid points=%u len=%u", + (unsigned int)num_points, (unsigned int)len); + return 0; + } + + s_temp_cali.num_points = num_points; + memset(s_temp_cali.pressure_points, 0, sizeof(s_temp_cali.pressure_points)); + memcpy(s_temp_cali.pressure_points, &data[1], (size_t)num_points * sizeof(uint16_t)); + + return 1; +} + +/** + * @brief Read temporary pressure parameters + * @param response_buf Output buffer + * @param response_len Output length pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_pressure_read_temp_params(uint8_t *response_buf, uint16_t *response_len) +{ + if ((response_buf == NULL) || (response_len == NULL)) { + MX_LOGE(CALI_TAG, "Read temp pressure params bad arg"); + return 0; + } + + response_buf[0] = (uint8_t)(s_temp_cali.num_points & 0xFFU); + response_buf[1] = (uint8_t)((s_temp_cali.num_points >> 8) & 0xFFU); + memcpy(&response_buf[2], + s_temp_cali.pressure_points, + (size_t)s_temp_cali.num_points * sizeof(uint16_t)); + + *response_len = (uint16_t)(2U + (s_temp_cali.num_points * 2U)); + return 1; +} + +/** + * @brief Save pressure parameters to Flash + * @param data Input byte buffer + * @param len Length of the data + * @return 1 on success, 0 on failure + */ +uint8_t app_pressure_save_params(const uint8_t *data, uint16_t len) +{ + if (!app_pressure_write_temp_params(data, len)) { + MX_LOGE(CALI_TAG, "Write temp pressure params failed"); + return 0; + } + + if (!flash_port_pressure_save(&s_temp_cali)) { + MX_LOGE(CALI_TAG, "Save pressure params failed"); + return 0; + } + + return 1; +} + +/** + * @brief Read solidified pressure parameters from Flash + * @param response_buf Output buffer + * @param response_len Output length pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_pressure_read_solidified_params(uint8_t *response_buf, uint16_t *response_len) +{ + app_math_cali_t flash_params; + + if ((response_buf == NULL) || (response_len == NULL)) { + MX_LOGE(CALI_TAG, "Read flash pressure params bad arg"); + return 0; + } + + if (!flash_port_pressure_load(&flash_params)) { + MX_LOGE(CALI_TAG, "Load flash pressure params failed"); + *response_len = 0; + return 0; + } + + response_buf[0] = (uint8_t)(flash_params.num_points & 0xFFU); + response_buf[1] = (uint8_t)((flash_params.num_points >> 8) & 0xFFU); + memcpy(&response_buf[2], + flash_params.pressure_points, + (size_t)flash_params.num_points * sizeof(uint16_t)); + + *response_len = (uint16_t)(2U + (flash_params.num_points * 2U)); + return 1; +} + +/** + * @brief Clear pressure parameters + * @return 1 on success, 0 on failure + */ +uint8_t app_pressure_clear_params(void) +{ + s_temp_cali.num_points = 0; + memset(s_temp_cali.pressure_points, 0, sizeof(s_temp_cali.pressure_points)); + + if (!flash_port_pressure_save(&s_temp_cali)) { + MX_LOGE(CALI_TAG, "Clear pressure params failed"); + return 0; + } + + return 1; +} + +/** + * @brief Initialize map matrix from Flash + * @return 1 on success, 0 on failure + */ +uint8_t app_map_init(void) +{ + if (!flash_port_map_load(s_map_matrix, APP_MAP_MATRIX_WORDS)) { + memset(s_map_matrix, 0, sizeof(s_map_matrix)); + return 0; + } + return 1; +} + +/** + * @brief Write temporary map parameters + * @param data Input byte buffer + * @param len Length of data + * @return 1 on success, 0 on failure + */ +uint8_t app_map_write_temp_params(const uint8_t *data, uint16_t len) +{ + if ((data == NULL) || (len != (uint16_t)APP_MAP_MATRIX_BYTES)) { + MX_LOGE(CALI_TAG, "Map temp write bad arg, len=%u", (unsigned int)len); + return 0; + } + + memcpy(s_map_matrix, data, APP_MAP_MATRIX_BYTES); + return 1; +} + +/** + * @brief Save map parameters to Flash + * @param data Input byte buffer + * @param len Length of data + * @return 1 on success, 0 on failure + */ +uint8_t app_map_save_params(const uint8_t *data, uint16_t len) +{ + if (!app_map_write_temp_params(data, len)) { + MX_LOGE(CALI_TAG, "Map param length invalid: %u", (unsigned int)len); + return 0; + } + + if (!flash_port_map_save(s_map_matrix, APP_MAP_MATRIX_WORDS)) { + MX_LOGE(CALI_TAG, "Save map params failed"); + return 0; + } + + if (!flash_port_map_load(s_map_matrix, APP_MAP_MATRIX_WORDS)) { + MX_LOGE(CALI_TAG, "Verify map params failed"); + return 0; + } + + if (!app_calibration_set(1U)) { + MX_LOGE(CALI_TAG, "Set calibrated state failed"); + return 0; + } + + return 1; +} + +/** + * @brief Clear map parameters from Flash + * @return 1 on success, 0 on failure + */ +uint8_t app_map_clear_params(void) +{ + memset(s_map_matrix, 0, sizeof(s_map_matrix)); + if (!flash_port_map_clear()) { + MX_LOGE(CALI_TAG, "Clear map params failed"); + return 0; + } + + if (!app_calibration_set(0U)) { + MX_LOGE(CALI_TAG, "Clear calibrated state failed"); + return 0; + } + + return 1; +} + +/** + * @brief Read temporary map parameters + * @param response_buf Output buffer + * @param response_len Output length pointer + * @return 1 on success, 0 on failure + */ +uint8_t app_map_read_temp_params(uint8_t *response_buf, uint16_t *response_len) +{ + if ((response_buf == NULL) || (response_len == NULL)) { + MX_LOGE(CALI_TAG, "Read temp map params bad arg"); + return 0; + } + + *response_len = (uint16_t)APP_MAP_MATRIX_BYTES; + memcpy(response_buf, s_map_matrix, *response_len); + return 1; +} + +/** + * @brief Get pointer to map data buffer + * @return Pointer to map data + */ +uint8_t *app_map_data_ptr(void) +{ + return (uint8_t *)s_map_matrix; +} + +/** + * @brief Get map data size + * @return Size of map data in bytes + */ +uint32_t app_map_data_size(void) +{ + return (uint32_t)APP_MAP_MATRIX_BYTES; +} + +/** + * @brief Write temporary creep parameters + * @param creep_params Input parameter structure + * @return 1 on success, 0 on failure + */ +uint8_t app_creep_write_temp_params(app_creep_params *creep_params) +{ + if (creep_params == NULL) { + MX_LOGE(CALI_TAG, "Creep temp write bad arg"); + return 0; + } + + s_temp_creep.creep_strength = creep_params->creep_strength; + s_temp_creep.creep_level = creep_params->creep_level; + app_creep_apply_runtime(&s_temp_creep); + + MX_LOGI(CALI_TAG, "Creep temp updated: strength=%u level=%u", + (unsigned int)s_temp_creep.creep_strength, + (unsigned int)s_temp_creep.creep_level); + return 1; +} + +/** + * @brief Save creep parameters to Flash + * @param creep_params Input parameter structure + * @return 1 on success, 0 on failure + */ +uint8_t app_creep_save_params(app_creep_params *creep_params) +{ + if (!app_creep_write_temp_params(creep_params)) { + return 0; + } + + if (!flash_port_creep_save(&s_temp_creep)) { + return 0; + } + + return 1; +} + +/** + * @brief Clear creep parameters + * @return 1 on success, 0 on failure + */ +uint8_t app_creep_clear_params(void) +{ + app_creep_set_default(&s_temp_creep); + app_creep_apply_runtime(&s_temp_creep); + + if (!flash_port_creep_clear()) { + MX_LOGE(CALI_TAG, "Creep clear failed"); + return 0; + } + + return 1; +} + +/** + * @brief Read device information from Flash + * @param dev_info Output structure + * @return 1 on success, 0 on failure + */ +uint8_t app_device_get_info(app_dev_info *dev_info) +{ + if (dev_info == NULL) { + MX_LOGE(CALI_TAG, "Device info get bad arg"); + return 0; + } + + if (!flash_port_device_info_load(dev_info)) + { + app_device_info_set_default(dev_info); + if (!app_device_set_info(dev_info)) { + MX_LOGW(CALI_TAG, "Device info load default save failed"); + } + return 1; + } + + app_device_info_normalize(dev_info); + if (!app_device_info_is_valid(dev_info)) + { + app_device_info_set_default(dev_info); + if (!app_device_set_info(dev_info)) { + MX_LOGW(CALI_TAG, "Device info repair save failed"); + } + } + + return 1; +} + +/** + * @brief Write device information to Flash + * @param dev_info Input structure + * @return 1 on success, 0 on failure + */ +uint8_t app_device_set_info(const app_dev_info *dev_info) +{ + app_dev_info flash_info; + + if (dev_info == NULL) { + MX_LOGE(CALI_TAG, "Device info set bad arg"); + return 0; + } + + memcpy(&flash_info, dev_info, sizeof(flash_info)); + app_device_info_normalize(&flash_info); + if (!app_device_info_is_valid(&flash_info)) { + MX_LOGE(CALI_TAG, "Device info set invalid data"); + return 0; + } + + if (!flash_port_device_info_save(&flash_info)) { + MX_LOGE(CALI_TAG, "Device info save failed"); + return 0; + } + + return 1; +} + +/** + * @brief Read creep parameters from Flash, load defaults if invalid + * @param creep_params Output structure + * @return 1 on success, 0 on failure + */ +uint8_t app_creep_read_params(app_creep_params *creep_params) +{ + if (creep_params == NULL) { + MX_LOGE(CALI_TAG, "Creep read bad arg"); + return 0; + } + + if (!flash_port_creep_load(creep_params)) { + app_creep_set_default(creep_params); + if (!flash_port_creep_save(creep_params)) { + MX_LOGE(CALI_TAG, "Creep read default save failed"); + return 0; + } + } + + s_temp_creep = *creep_params; + app_creep_apply_runtime(&s_temp_creep); + return 1; +} + +/** + * @brief Invalidate calibration runtime state + */ +void app_calibration_invalidate_runtime(void) +{ +#if APP_CALI_USE_PROJECT_RUNTIME_FLAGS + pressure_params = NULL; + g_check_cali = false; + g_is_creep_enable = false; +#endif +} + +/** + * @brief Request reset of runtime calibration logic + * This will be applied after the next pressure measurementis taken. + * + */ +void app_calibration_request_reset_effect(void) +{ +#if APP_CALI_USE_PROJECT_RUNTIME_FLAGS + g_reset_takeEffect = true; + g_is_creep_enable = false; +#endif +} + +/** + * @brief Check if device is calibrated + * @return 1 if calibrated, 0 otherwise + */ +uint8_t app_calibration_check(void) +{ + app_math_cali_t flash_params; + + if (!flash_port_math_load(&flash_params)) + { + MX_LOGW(CALI_TAG, "Check calibration state failed, treat as uncalibrated"); + return 0; + } + + return (uint8_t)(flash_params.check_cail == APP_CALI_STATUS_CALIBRATED); +} + +/** + * @brief Get global calibration status + * @return Value of g_check_cali + */ +uint8_t app_calibration_get_cail_status(void) +{ + return g_check_cali; +} + +/** + * @brief Set calibration status + * @param calibrated 1 to mark as calibrated, 0 otherwise + * @return 1 on success, 0 on failure + */ +uint8_t app_calibration_set(uint8_t calibrated) +{ + s_temp_cali.check_cail = calibrated ? APP_CALI_STATUS_CALIBRATED : APP_CALI_STATUS_UNCALIBRATED; + if (!flash_port_math_save(&s_temp_cali)) { + return 0; + } + g_check_cali = (calibrated != 0); + return 1; +} + +/** + * @brief Initialize the calibration module and underlying flash port. + * @param flash_ops Pointer to flash operations mapping. + */ +void app_calibration_init(const struct flash_port_ops_t *flash_ops) +{ + if (flash_ops != NULL) { + flash_port_init((const flash_port_ops_t *)flash_ops); + } + + app_calibration_reset_init(); +} + +/** + * @brief Initialize all calibration components and states + */ +void app_calibration_reset_init(void) +{ + uint16_t min_trig, max_trig, div_trig, max_disp, sensor_type; + app_math_cali_t cali_param; + + g_check_cali = (app_calibration_check() != 0); + g_is_creep_enable = true; + + if (g_check_cali) { + if (!app_math_init(&min_trig, &max_trig, &div_trig, &max_disp, &sensor_type)) { + MX_LOGW(CALI_TAG, "Math init failed, fallback to default"); + (void)app_math_clear_params(); + g_check_cali = false; + } + + pressure_params = app_pressure_init(); + if (pressure_params == NULL || pressure_params->num_points < 2) { + MX_LOGE(CALI_TAG, "Pressure params invalid"); + g_check_cali = false; + } + + if (!app_map_init()) { + MX_LOGE(CALI_TAG, "Map init failed"); + g_check_cali = false; + } + } else { + (void)app_math_clear_params(); + pressure_params = NULL; + } + + (void)app_creep_read_params(&s_temp_creep); + + app_math_get_temp_params(&cali_param); + + if (g_check_cali) { + g_sensor_data_type = cali_param.sensor_data_type; + } else { + g_sensor_data_type = SENSOR_BIT_8; + } + + // Default override to 8bit (from original code) + g_sensor_data_type = SENSOR_BIT_8; + cali_param.max_display_value = 255; + + g_buf[0] = cali_param.max_trigger_res_value; + g_buf[1] = cali_param.min_trigger_res_value; + g_buf[2] = cali_param.div_trigger_res_value; + g_buf[3] = MAX_DISPLAY_ADC_VALUE; + g_buf[4] = cali_param.max_display_value; + + math_resi_init(cali_param.max_trigger_res_value, + cali_param.min_trigger_res_value, + cali_param.div_trigger_res_value, + MAX_DISPLAY_ADC_VALUE, + cali_param.max_display_value); + + MX_LOGI(CALI_TAG, "Calibration params -> max_trig:%u, min_trig:%u, div_trig:%u, max_disp:%u, type:%u", + (unsigned int)cali_param.max_trigger_res_value, + (unsigned int)cali_param.min_trigger_res_value, + (unsigned int)cali_param.div_trigger_res_value, + (unsigned int)cali_param.max_display_value, + (unsigned int)cali_param.sensor_data_type + ); + + MX_LOGI(CALI_TAG, "g_sensor_data_type : %u, g_is_creep_enable : %u", + (unsigned int)g_sensor_data_type, + (unsigned int)g_is_creep_enable); +} + +/** + * @brief Process raw 16-bit sensor data against calibration map + * @param in_raw_data Input raw sensor data matrix (MT_AX_NUM x MT_AY_NUM) + * @param out_cali_data Output buffer to store processed data + * @return 1 on success, 0 on invalid parameters + */ +void process_calibration_frame(const uint16_t in_raw_data[MT_AX_NUM][MT_AY_NUM], + uint16_t out_cali_data[MT_AX_NUM][MT_AY_NUM]) +{ + if (in_raw_data == NULL || out_cali_data == NULL) { + return; + } + + if (g_check_cali && + (pressure_params != NULL) && + (pressure_params->num_points >= 2U) && + (pressure_params->num_points <= MAX_PRESSURE_POINTS)) + { + // ʵʱµı궨 + cali_info.real_pressure_value = pressure_params->pressure_points; + cali_info.cali_params = (uint16_t *)app_map_data_ptr(); + cali_info.cali_pressure_num = (uint8_t)pressure_params->num_points; + cali_info.cali_data_out_bit_size = UINT16_DOUBLE; + + // һά׵ַ㷨 + math_resi_cali((uint16_t *)in_raw_data, + &cali_info, + (uint16_t *)out_cali_data, + (uint32_t)(MT_AX_NUM * MT_AY_NUM)); + } + else + { + // δ궨ʧЧʱȫ͸ԭʼ + if ((const void *)in_raw_data != (const void *)out_cali_data) { + memcpy((void *)out_cali_data, (const void *)in_raw_data, sizeof(uint16_t) * MT_AX_NUM * MT_AY_NUM); + } + } + + // յãõײ궨 + if (g_reset_takeEffect) { + g_reset_takeEffect = false; + app_calibration_reset_init(); + } +} + +/* +* @brief Check if sensor frame can be sent +* @return true if sensor frame can be sent, false otherwise +*/ +static bool can_send_sensor_frame(void) +{ + if (!g_is_active_reporting && (g_sensor_frames_to_send <= 0)) { + return false; + } + + if (g_sensor_frames_to_send > 0) { + g_sensor_frames_to_send--; + } + + return true; +} + +/** + * @brief Send 8-bit sensor frame through Mozen protocol + * @param sensor_data 8-bit sensor matrix + * @return 1 on success, 0 on failure or busy + */ +uint8_t send_sensor_frame_8bit(const uint8_t (*sensor_data)[MT_AY_NUM]) +{ + uint16_t payload_len = 0U; + + if (sensor_data == NULL || !can_send_sensor_frame()) { + return 0; + } + + // 뻥 + if (s_is_payload_packing) { + return 0; + } + s_is_payload_packing = true; + + if (!app_calibration_build_sensor8bit_payload(sensor_data, sensor_data_payload, (uint16_t)sizeof(sensor_data_payload), &payload_len)) { + s_is_payload_packing = false; + return 0; + } + + (void)mozen_protocol_send_frame(&g_mozen_prot, 0x01U, sensor_data_payload, payload_len, false); + + s_is_payload_packing = false; + return 1; +} + +/** + * @brief Send 16-bit sensor frame through Mozen protocol + * @param sensor_data 16-bit sensor matrix + * @return 1 on success, 0 on failure or busy + */ +uint8_t send_sensor_frame_16bit(const uint16_t (*sensor_data)[MT_AY_NUM]) +{ + uint16_t payload_len = 0U; + + if (sensor_data == NULL || !can_send_sensor_frame()) { + return 0; + } + + // 뻥 + if (s_is_payload_packing) { + return 0; + } + s_is_payload_packing = true; + + if (!app_calibration_build_sensor16bit_payload(sensor_data, sensor_data_payload, (uint16_t)sizeof(sensor_data_payload), &payload_len)) { + s_is_payload_packing = false; + return 0; + } + + (void)mozen_protocol_send_frame(&g_mozen_prot, 0x01U, sensor_data_payload, payload_len, false); + + s_is_payload_packing = false; + return 1; +} + +/* Legacy compatibility wrappers */ +#if APP_CALI_ENABLE_LEGACY_API +uint8_t array_resi_params_write(const uint8_t *data, uint16_t len) +{ + return app_math_write_temp_params(data, len); +} + +uint8_t array_resi_params_save(const uint8_t *data, uint16_t len) +{ + return app_math_save_params(data, len); +} + +uint8_t clear_array_init_info(void) +{ + return app_math_clear_params(); +} + +uint8_t return_array_resi_init_info(uint8_t *response_buf, uint16_t *response_len) +{ + return app_math_read_temp_params(response_buf, response_len); +} + +uint8_t return_flash_array_resi_init_info(uint8_t *response_buf, uint16_t *response_len) +{ + return app_math_read_solidified_params(response_buf, response_len); +} + +pressure_params_t *init_pressure_params(void) +{ + return app_pressure_init(); +} + +uint8_t write_temp_pressure_params(const uint8_t *data, uint16_t len) +{ + return app_pressure_write_temp_params(data, len); +} + +uint8_t read_temp_pressure_params(uint8_t *response_buf, uint16_t *response_len) +{ + return app_pressure_read_temp_params(response_buf, response_len); +} + +uint8_t write_solidified_pressure_params(const uint8_t *data, uint16_t len) +{ + return app_pressure_save_params(data, len); +} + +uint8_t read_solidified_pressure_params(uint8_t *response_buf, uint16_t *response_len) +{ + return app_pressure_read_solidified_params(response_buf, response_len); +} + +uint8_t clear_pressure_params_from_flash(void) +{ + return app_pressure_clear_params(); +} + +void write_cali_params_to_ram(const uint8_t *data, uint16_t len) +{ + (void)app_map_write_temp_params(data, len); +} + +uint8_t save_cali_params_to_flash(const uint8_t *data, uint16_t len) +{ + return app_map_save_params(data, len); +} + +uint8_t clear_cali_params_from_flash(void) +{ + return app_map_clear_params(); +} + +uint8_t read_cali_params_from_ram(uint8_t *response_buf, uint16_t *response_len) +{ + return app_map_read_temp_params(response_buf, response_len); +} +#endif diff --git a/app_cail/app_calibration.h b/app_cail/app_calibration.h new file mode 100644 index 0000000..41c10f1 --- /dev/null +++ b/app_cail/app_calibration.h @@ -0,0 +1,231 @@ +#ifndef __APP_CALIBRATION_H +#define __APP_CALIBRATION_H + +#include + +#include "mx_log.h" +#include "resi_math_lib.h" +#include "mozen_protocol.h" +#include "cali_process.h" + +#include "main.h" +//#include "bsp_config.h" + +/****************************ֲ ********************************/ + +//ĿĴд +#define MT_AX_NUM (AX_NUM) +#define MT_AY_NUM (AY_NUM) + +#ifdef CALI_POINT_NUM +#undef CALI_POINT_NUM +#endif +#define CALI_POINT_NUM (3) //궨λ + +#ifdef MAX_PRESSURE_POINTS +#undef MAX_PRESSURE_POINTS +#endif +#define MAX_PRESSURE_POINTS CALI_POINT_NUM + +//δб궨ǰ㷨Ĭϲ +#define DEFAULT_MIN_TRIGGER_RES_VALUE (1000) +#define DEFAULT_MAX_TRIGGER_RES_VALUE (10000) +#define DEFAULT_DIV_TRIGGER_RES_VALUE (1300) // ݾĿӲֵд +#define DEFAULT_MAX_DISPLAY_VALUE (255) // (255U) + +/****************************ֲ ********************************/ + +#define MAX_DISPLAY_ADC_VALUE (4096) //ʾֵ + +#ifndef APP_CALI_USE_PROJECT_RUNTIME_FLAGS +#define APP_CALI_USE_PROJECT_RUNTIME_FLAGS 1U //ǷʹĿʱ־ (0:ʹ 1:ʹ) +#endif + +#ifndef APP_CALI_ENABLE_LEGACY_API +#define APP_CALI_ENABLE_LEGACY_API 0U //ǷþɰAPI (0: 1:) +#endif + +#define APP_MATH_PARAM_FRAME_SIZE 8U //㷨ѧ֡С +#define APP_MAP_MATRIX_WORDS ((uint32_t)MT_AX_NUM * (uint32_t)MT_AY_NUM * (uint32_t)CALI_POINT_NUM) // +#define APP_MAP_MATRIX_BYTES (APP_MAP_MATRIX_WORDS * sizeof(uint16_t)) //ֽ ( * 2) +#define APP_SENSOR_FRAME_PAYLOAD_MAX_BYTES (1U + ((uint32_t)MT_AX_NUM * (uint32_t)MT_AY_NUM * sizeof(uint16_t))) //ֽ֡ +#define APP_CALI_STATUS_UNCALIBRATED 0x0000U // δ궨״̬ +#define APP_CALI_STATUS_CALIBRATED 0xA55AU // ѱ궨״̬ + +// 豸ϢSN +#define DEFAULT_PN "JJ009" +#define DEFAULT_SN "FA0060G1A7100001" +#define DEFAULT_SW_VER "V1.0.1" +#define DEFAULT_HW_VER "V1.0_20250627" + +#define APP_DEVICE_PROTOCOL_VER "V1.0" // Protocol Version + +//У׼ݽṹ +typedef struct _app_math_cali_t +{ + uint16_t check_cail; // Уֵ + uint16_t sensor_data_type; // + uint16_t min_trigger_res_value; // Сֵ + uint16_t max_trigger_res_value; // 󴥷ֵ + uint16_t div_trigger_res_value; // ֵ + uint16_t max_display_value; // ʾֵ + uint16_t num_points; // 궨 + uint16_t pressure_points[MAX_PRESSURE_POINTS]; // 궨ѹֵ +} app_math_cali_t; + +typedef struct _app_creep_params +{ + uint8_t creep_strength; + uint8_t creep_level; +}app_creep_params; + + +typedef struct _app_device_info +{ + uint8_t pn[33]; // ͺŴ洢 + char sn[17]; // кŴ洢 + uint8_t sw_ver[sizeof(DEFAULT_SW_VER)+1]; // 汾洢 + uint8_t hw_ver[sizeof(DEFAULT_HW_VER)+1]; // Ӳ汾洢 + uint8_t sensor_size[10]; // ߴ + uint8_t protocol_ver[10]; // Э汾洢 +} app_dev_info; + +typedef struct { + uint16_t max_cal; + uint16_t min_cal; + uint16_t ref_value; + uint16_t adc_max; + uint16_t max_display; +} app_legacy_math_t; + +typedef struct { + uint8_t creep_strength; + uint8_t creep_level; +} app_legacy_creep_t; + +// 豸״̬ old +typedef struct +{ + uint8_t led_sw; + uint8_t sensor_tx_sw; + uint8_t tx_stopping; + uint8_t output_pick; +} app_device_status_t; + +/* Compatibility typedefs after merge */ +typedef app_math_cali_t app_math_params_t; +typedef app_math_cali_t pressure_params_t; + +extern volatile bool g_check_cali ; +extern volatile bool g_reset_takeEffect ; +extern volatile bool g_is_active_reporting; +extern pressure_params_t* pressure_params; +extern volatile bool g_is_creep_enable ; + +/* Algorithm (math) parameter interfaces */ +uint8_t app_math_init(uint16_t *min_trigger_res_value, + uint16_t *max_trigger_res_value, + uint16_t *div_trigger_res_value, + uint16_t *max_display_value,uint16_t *sensor_data_type); +uint8_t app_math_get_temp_params(app_math_cali_t *out_params); +uint8_t app_math_set_temp_params(const app_math_cali_t *params); + +uint8_t app_math_write_temp_params(const uint8_t *data, uint16_t len); +uint8_t app_math_save_params(const uint8_t *data, uint16_t len); +uint8_t app_math_clear_params(void); +uint8_t app_math_read_temp_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t app_math_read_solidified_params(uint8_t *response_buf, uint16_t *response_len); + +/* Pressure parameter interfaces */ +pressure_params_t *app_pressure_init(void); +uint8_t app_pressure_write_temp_params(const uint8_t *data, uint16_t len); +uint8_t app_pressure_read_temp_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t app_pressure_save_params(const uint8_t *data, uint16_t len); +uint8_t app_pressure_read_solidified_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t app_pressure_clear_params(void); + +/* N-point map interfaces */ +uint8_t app_map_init(void); +uint8_t app_map_write_temp_params(const uint8_t *data, uint16_t len); +uint8_t app_map_save_params(const uint8_t *data, uint16_t len); +uint8_t app_map_clear_params(void); +uint8_t app_map_read_temp_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t *app_map_data_ptr(void); +uint32_t app_map_data_size(void); + +/* Creep parameter interfaces */ +uint8_t app_creep_write_temp_params(app_creep_params *creep_params); +uint8_t app_creep_save_params(app_creep_params *creep_params); +uint8_t app_creep_read_params(app_creep_params *creep_params); +uint8_t app_creep_clear_params(void); + +/* Device information interfaces */ +uint8_t app_device_get_info(app_dev_info *dev_info); +uint8_t app_device_set_info(const app_dev_info *dev_info); + +/* Legacy device status interfaces */ +app_device_status_t* app_device_status_get(void); +void app_device_status_set(const app_device_status_t *status); +void app_device_status_init(void); + +/* Runtime state hooks for protocol layer */ +void app_calibration_invalidate_runtime(void); +void app_calibration_request_reset_effect(void); +uint8_t app_calibration_check(void); +uint8_t app_calibration_get_cail_status(void); +uint8_t app_calibration_set(uint8_t calibrated); + +/* Forward declaration for flash operations */ +struct flash_port_ops_t; + +/** + * @brief Initialize the calibration module and underlying flash port. + * @param flash_ops Pointer to flash operations mapping. + */ +void app_calibration_init(const struct flash_port_ops_t *flash_ops); + +void app_calibration_reset_init(void); + +/** + * @brief Process raw 16-bit sensor data against calibration map + * @param in_raw_data Input raw sensor data matrix (MT_AX_NUM x MT_AY_NUM) + * @param out_cali_data Output buffer to store processed data + * @return 1 on success, 0 on invalid parameters + */ +void process_calibration_frame(const uint16_t in_raw_data[MT_AX_NUM][MT_AY_NUM], + uint16_t out_cali_data[MT_AX_NUM][MT_AY_NUM]); + +uint8_t send_sensor_frame_8bit(const uint8_t (*sensor_data)[MT_AY_NUM]); +uint8_t send_sensor_frame_16bit(const uint16_t (*sensor_data)[MT_AY_NUM]); + +uint8_t app_calibration_build_sensor8bit_payload(const uint8_t (*sensor_data)[MT_AY_NUM], + uint8_t *payload, + uint16_t payload_size, + uint16_t *payload_len); +uint8_t app_calibration_build_sensor16bit_payload(const uint16_t (*sensor_data)[MT_AY_NUM], + uint8_t *payload, + uint16_t payload_size, + uint16_t *payload_len); + +/* Legacy compatibility interfaces */ +#if APP_CALI_ENABLE_LEGACY_API +uint8_t array_resi_params_write(const uint8_t *data, uint16_t len); +uint8_t array_resi_params_save(const uint8_t *data, uint16_t len); +uint8_t clear_array_init_info(void); +uint8_t return_array_resi_init_info(uint8_t *response_buf, uint16_t *response_len); +uint8_t return_flash_array_resi_init_info(uint8_t *response_buf, uint16_t *response_len); + +pressure_params_t *init_pressure_params(void); +uint8_t write_temp_pressure_params(const uint8_t *data, uint16_t len); +uint8_t read_temp_pressure_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t write_solidified_pressure_params(const uint8_t *data, uint16_t len); +uint8_t read_solidified_pressure_params(uint8_t *response_buf, uint16_t *response_len); +uint8_t clear_pressure_params_from_flash(void); + +void write_cali_params_to_ram(const uint8_t *data, uint16_t len); +uint8_t save_cali_params_to_flash(const uint8_t *data, uint16_t len); +uint8_t clear_cali_params_from_flash(void); +uint8_t read_cali_params_from_ram(uint8_t *response_buf, uint16_t *response_len); +#endif + +#endif /* __APP_CALIBRATION_H */ diff --git a/app_cail/demo_main.c b/app_cail/demo_main.c new file mode 100644 index 0000000..fc99476 --- /dev/null +++ b/app_cail/demo_main.c @@ -0,0 +1,83 @@ +#include "app_calibration.h" +#include "mx_log.h" + +/* 最简移植模板*/ + +// 接收上位机下发的数据处理函数 +void process_rx(void) +{ + uint8_t rx_chunk[64]; + uint16_t recv_len = 0; + + //如果是串口通信，则在串口接收到数据的地方，调用mozen_protocol_receive_byte 喂入字节流 + //recv_len = usart_rx_recv(USART_3_TR, rx_chunk, sizeof(rx_chunk)); + + //如果是usb cdc 通信，则在usb cdc 接收到数据的地方，调用mozen_protocol_receive_byte 喂入字节流 + //recv_len = usbcdc_rx_recv(rx_chunk, sizeof(rx_chunk)); + + for(uint16_t i = 0; i < recv_len; i++) { + mozen_protocol_receive_byte(rx_chunk[i]); + } + +} + +//新协议需要调用的发送函数，需要外部自己实现一下函数定义 +static int mozen_tx(const uint8_t *frame, uint16_t len) +{ + if ((frame == NULL) || (len == 0U)) { + return -1; + } + + //这里替换具体项目平台的发送函数，例如： + // usart_dma_send_data(USART_0_TR, (uint8_t *)frame, len); + return 0; +} + +typedef struct +{ + uint16_t adc_channel_cache[AX_BUF_NUM]; + uint16_t g_sensor_raw_value[AX_NUM]; + uint16_t g_sensor_ref_value[AX_NUM]; + uint16_t sensor1_resi_output[AX_NUM]; + uint16_t sensor1_display_output[AX_NUM]; + uint16_t sensor1_voltage[AX_NUM][AY_NUM]; +} Hc4051AdcValue; +Hc4051AdcValue temp_adc_value; + +int main(void) +{ + //项目中的外设初始化 + //... + + /*Step 1 */ + //把这三个函数放在外设初始化之后，然后设置一下发送回调， + mozen_protocol_set_tx(mozen_tx); + mozen_protocol_init(); + app_calibration_reset_init(); + + uint16_t count_ay = 0; + + while(1) + { + + /*Step 2 处理上位机下发的数据，内部调用mozen_protocol_receive_byte会解析协议 */ + process_rx(); + + scan_y(&temp_adc_value, count_ay); // scan_y 就是熟悉的正扫反扫的函数 + count_ay++; + if (count_ay >= AY_NUM) { //扫完一帧 + count_ay = 0; + + /*Step 3 将原始帧数据传入，返回标定后二维结果。 */ + uint16_t (*cailed_sensor_data)[MT_AY_NUM]; + cailed_sensor_data = process_calibration_frame(temp_adc_value.sensor1_voltage); + + // 预留给外部算法扩展: 可在此处继续处理 cailed_sensor_data 比如拿到cailed_sensor_data 做抗蠕变等其他算法 + //... + + //发走 + send_sensor_frame(cailed_sensor_data); + } + } +} + diff --git a/app_cail/lib_math_cail/cali_process.c b/app_cail/lib_math_cail/cali_process.c new file mode 100644 index 0000000..923dc4d --- /dev/null +++ b/app_cail/lib_math_cail/cali_process.c @@ -0,0 +1,156 @@ +#include "cali_process.h" + +//ʵԭʹԲֵʽ y = y1 + (x-x1)*(y2-y1)/(x2-x1) +uint16_t linear_fuction_double_byte(uint16_t x, uint16_t x1, uint16_t x2, uint16_t y1, uint16_t y2) +{ + uint16_t y = 0; + uint32_t cal_y = 0; + if(x2==x1) return y1; + + if(x >= x1) + { + cal_y = (uint32_t)(x - x1) * (uint32_t)(y2 - y1) / (uint32_t)(x2 - x1) + y1; + if(cal_y > UINT16_MAX) + { + cal_y = UINT16_MAX; + } + y = (uint16_t)cal_y; + return y; + } + else + return 0; +} + +uint8_t linear_fuction_single_byte(uint16_t x, uint16_t x1, uint16_t x2, uint8_t y1, uint8_t y2) +{ + uint8_t y = 0; + uint32_t cal_y = 0; + if(x2==x1) return y1; + + if(x >= x1) + { + cal_y = (uint32_t)(x - x1) * (uint32_t)(y2 - y1) / (uint32_t)(x2 - x1) + y1; + if(cal_y > UINT8_MAX) + { + cal_y = UINT8_MAX; + } + y = (uint8_t)cal_y; + return y; + } + else + return 0; +} + + +void math_resi_cali(uint16_t *raw_value, CALI_INFO_T *cali_info, void *processed_value, uint16_t math_cali_buffer_size) +{ + uint8_t *processed_value_single_pointer = NULL; + uint16_t *processed_value_double_pointer = NULL; + + if(cali_info->cali_pressure_num < 2 || raw_value == NULL || cali_info == NULL || processed_value ==NULL || math_cali_buffer_size == 0) + { + return; + } + + switch(cali_info->cali_data_out_bit_size) + { + case UINT8_SINGLE: + processed_value_single_pointer = (uint8_t*)processed_value; + for(uint16_t count = 0; count < math_cali_buffer_size; ++count) + { + uint16_t min_press_idx = count; + uint16_t max_press_idx = count + (cali_info->cali_pressure_num - 1) * math_cali_buffer_size; + + if(raw_value[count] > cali_info->cali_params[max_press_idx]) + raw_value[count] = cali_info->cali_params[max_press_idx]; + if(raw_value[count] < cali_info->cali_params[min_press_idx]) + raw_value[count] = cali_info->cali_params[min_press_idx]; + + uint8_t found_flag = 0; + for(uint8_t press_idx = 0; press_idx < cali_info->cali_pressure_num-1; ++press_idx) + { + uint16_t current_press_idx = count + press_idx * math_cali_buffer_size; + uint16_t next_press_idx = count + (press_idx + 1) * math_cali_buffer_size; + + if(raw_value[count] >= cali_info->cali_params[current_press_idx] && raw_value[count] <= cali_info->cali_params[next_press_idx]) + { + if(raw_value[count] == cali_info->cali_params[current_press_idx]) { + processed_value_single_pointer[count] = cali_info->real_pressure_value[press_idx]; + } + else if(raw_value[count] == cali_info->cali_params[next_press_idx]) { + processed_value_single_pointer[count] = cali_info->real_pressure_value[press_idx + 1]; + } + else { + processed_value_single_pointer[count] = linear_fuction_single_byte( + raw_value[count], + cali_info->cali_params[current_press_idx], + cali_info->cali_params[next_press_idx], + cali_info->real_pressure_value[press_idx], + cali_info->real_pressure_value[press_idx + 1]); + } + found_flag = 1; + break; + } + } + + if(!found_flag) + { + processed_value_single_pointer[count] = cali_info->real_pressure_value[0]; + } + } + break; + + case UINT16_DOUBLE: + processed_value_double_pointer = (uint16_t*)processed_value; + for(uint16_t count = 0; count < math_cali_buffer_size; ++count) + { + uint16_t min_press_idx = count; + uint16_t max_press_idx = count + (cali_info->cali_pressure_num - 1) * math_cali_buffer_size; + + if(raw_value[count] > cali_info->cali_params[max_press_idx]) + raw_value[count] = cali_info->cali_params[max_press_idx]; + if(raw_value[count] < cali_info->cali_params[min_press_idx]) + raw_value[count] = cali_info->cali_params[min_press_idx]; + + uint8_t found_flag = 0; + for(uint8_t press_idx = 0; press_idx < cali_info->cali_pressure_num-1; ++press_idx) + { + uint16_t current_press_idx = count + press_idx * math_cali_buffer_size; + uint16_t next_press_idx = count + (press_idx + 1) * math_cali_buffer_size; + + if(raw_value[count] >= cali_info->cali_params[current_press_idx] && raw_value[count] <= cali_info->cali_params[next_press_idx]) + { + if(raw_value[count] == cali_info->cali_params[current_press_idx]) { + processed_value_double_pointer[count] = cali_info->real_pressure_value[press_idx]; + } + else if(raw_value[count] == cali_info->cali_params[next_press_idx]) { + processed_value_double_pointer[count] = cali_info->real_pressure_value[press_idx + 1]; + } + else + { + processed_value_double_pointer[count] = linear_fuction_double_byte( + raw_value[count], + cali_info->cali_params[current_press_idx], + cali_info->cali_params[next_press_idx], + cali_info->real_pressure_value[press_idx], + cali_info->real_pressure_value[press_idx + 1]); + } + found_flag = 1; + break; + } + } + + if(!found_flag) + { + processed_value_double_pointer[count] = cali_info->real_pressure_value[0]; + } + } + break; + + default: break; + } +} + + + + diff --git a/app_cail/lib_math_cail/cali_process.h b/app_cail/lib_math_cail/cali_process.h new file mode 100644 index 0000000..1c57cec --- /dev/null +++ b/app_cail/lib_math_cail/cali_process.h @@ -0,0 +1,26 @@ +#ifndef _CALI_PROCESS_H +#define _CALI_PROCESS_H +#include +#include + +typedef enum{ + UINT8_SINGLE, + UINT16_DOUBLE +} OUT_DATA_BIT_SIZE_T; + +#pragma pack(1) +typedef struct{ + uint16_t *real_pressure_value; + uint16_t *cali_params; + uint8_t cali_pressure_num; + OUT_DATA_BIT_SIZE_T cali_data_out_bit_size; +} CALI_INFO_T; +#pragma pack() + + +void math_resi_cali(uint16_t *raw_value, CALI_INFO_T *cali_info, void *processed_value, uint16_t math_cali_buffer_size); + + + +#endif + diff --git a/app_cail/moxzen_protocol/app_mozen_handler.c b/app_cail/moxzen_protocol/app_mozen_handler.c new file mode 100644 index 0000000..a08a2c3 --- /dev/null +++ b/app_cail/moxzen_protocol/app_mozen_handler.c @@ -0,0 +1,754 @@ +#include "app_mozen_handler.h" +#include "mozen_tunnel.h" +#include "mx_log.h" +#include +#include +#include +#include "app_calibration.h" +#include "main.h" +#include "cJSON.h" + +// Define logs if not using MX_LOG directly +#ifndef MX_LOGD +#define MX_LOGD MOZEN_LOGD +#define MX_LOGI MOZEN_LOGI +#define MX_LOGW MOZEN_LOGW +#define MX_LOGE MOZEN_LOGE +#endif + +#define MX_PTO_TAG "MOZEN_APP" + +volatile uint16_t g_sensor_frames_to_send = 0; +volatile uint8_t g_sensor_data_type = SENSOR_BIT_16; + +static mozen_protocol_t *s_prot_instance = NULL; +static mozen_tunnel_t s_tunnel_instance; + +// --- Tunnel Stream State --- +static struct +{ + bool is_streaming_write; + uint8_t* write_ptr; + uint8_t target_cmd; + uint8_t target_sub_class; +} s_stream_state; + +// --- Response Utilities --- +#pragma pack(1) +typedef struct +{ + uint8_t target_id; + uint8_t sub_class; + uint8_t operation; +} mozen_cmd_header_t; +#pragma pack() + +typedef void (*cmd_sub_handler_t)(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); + +typedef struct +{ + uint8_t target_id; + cmd_sub_handler_t handler; +} cmd_handler_entry_t; + +// --- Forward Declarations --- +static void param_handle_report_mode(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); +static void param_handle_device_info(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); +static void param_handle_cali_display(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); +static void prod_handle_sys_cmd(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); +static void prod_handle_map_cali_cmd(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len); + +// --- param setters --- +static const cmd_handler_entry_t s_param_handlers[] = +{ + {MOZEN_PARAM_TGT_REPORT_MODE, param_handle_report_mode}, // 0x01 + {MOZEN_PARAM_TGT_DEVICE_INFO, param_handle_device_info}, // 0x02 + {MOZEN_PARAM_TGT_CALI_DISPLAY, param_handle_cali_display}, // 0x03 +}; + +// --- Production Test Targets --- +static const cmd_handler_entry_t s_prod_handlers[] = +{ + {MOZEN_PROD_TGT_SYS, prod_handle_sys_cmd}, + {MOZEN_PROD_TGT_MAP_CALI, prod_handle_map_cali_cmd}, +}; + +// --- Init --- +mozen_protocol_t g_mozen_prot; // Global mozen protocol instance +#define RX_BUFFER_SIZE 1024 // RX buffer size +#define TX_BUFFER_SIZE 1024 // TX buffer size +static uint8_t s_rx_buf[RX_BUFFER_SIZE]; // RX buffer +static uint8_t s_tx_buf_main[TX_BUFFER_SIZE]; // TX buffer +static uint8_t s_tx_buf_irq[TX_BUFFER_SIZE]; // TX buffer + +// --- Legacy Compatibility Functions --- +static uint8_t is_legacy_config_payload(const uint8_t *data, uint16_t len) +{ + if ((data == NULL) || (len < 3U)) return 0U; + if ((data[0] != 0x3DU) && (data[0] != 0x3FU)) return 0U; + if ((data[1] != '{') || (data[len - 1U] != '}')) return 0U; + + return 1U; +} + +static int handle_old_protocol_device_status(uint8_t *data, uint16_t length) +{ + if ((data == NULL) || (length < 2U)) return -1; + + if (data[0] == 0x3D) // "=" ò + { + cJSON *root = cJSON_Parse((char *)&data[1]); + if (!root) + { + MX_LOGE(MX_PTO_TAG, "old protocol json parse failed"); + return -1; + } + + MX_LOGD(MX_PTO_TAG, "old protocol json parsed"); + + // 1. Ӧòȡǰ״̬и + app_device_status_t new_status = *app_device_status_get(); + + // 2. ֶ + cJSON *led_sw = cJSON_GetObjectItem(root, "led_sw"); + if (led_sw) new_status.led_sw = (uint8_t)led_sw->valueint; + + cJSON *tx_sw = cJSON_GetObjectItem(root, "tx_sw"); + if (tx_sw) + { + int tx_sw_val = tx_sw->valueint; + if (new_status.sensor_tx_sw == 1 && tx_sw_val == 0) + { + new_status.tx_stopping = 1; + } + new_status.sensor_tx_sw = (uint8_t)tx_sw_val; + } + + cJSON *pick_sw = cJSON_GetObjectItem(root, "pick_sw"); + if (pick_sw) new_status.output_pick = (uint8_t)pick_sw->valueint; + // printf("pick_sw: %d\n", new_status.output_pick); + + // 3. ѧ궨 (math / math_full) + cJSON *math_arr = cJSON_GetObjectItem(root, "math"); + cJSON *extra_flag = cJSON_GetObjectItem(root, "math_full"); + + if (math_arr && cJSON_IsArray(math_arr)) + { + int size = cJSON_GetArraySize(math_arr); + app_math_cali_t temp_params; + + if (app_math_get_temp_params(&temp_params)) + { + if (size >= 1) { + temp_params.max_trigger_res_value = (uint16_t)cJSON_GetArrayItem(math_arr, 0)->valueint; + } + if (size >= 2) { + temp_params.min_trigger_res_value = (uint16_t)cJSON_GetArrayItem(math_arr, 1)->valueint; + } + + if (extra_flag && extra_flag->valueint && size >= 5) { + temp_params.max_display_value = (uint16_t)cJSON_GetArrayItem(math_arr, 4)->valueint; + } + + app_math_set_temp_params(&temp_params); + } + } + + // 4. + cJSON *creep_strength = cJSON_GetObjectItem(root, "creep_strength"); + cJSON *creep_level = cJSON_GetObjectItem(root, "creep_level"); + + if (creep_strength || creep_level) + { + app_creep_params temp_creep; + app_creep_read_params(&temp_creep); + + if (creep_strength) { + temp_creep.creep_strength = (uint8_t)creep_strength->valueint; + } + if (creep_level) { + temp_creep.creep_level = (uint8_t)creep_level->valueint; + } + + app_creep_write_temp_params(&temp_creep); + } + + // 5. Flash ־û + cJSON *flash_cmd = cJSON_GetObjectItem(root, "flash"); + if(flash_cmd && cJSON_IsString(flash_cmd)) + { + if (strcmp(flash_cmd->valuestring, "creep_write") == 0) + { + app_creep_params temp_creep; + app_creep_read_params(&temp_creep); + app_creep_save_params(&temp_creep); + } + } + + // 6. º Legacy ״̬дӦò + app_device_status_set(&new_status); + + cJSON_Delete(root); + } + return 0; +} + +static bool app_mozen_raw_frame_handler(void *context, const uint8_t *raw_frame, uint16_t length) +{ + mozen_frame_header_t header; + if (length < sizeof(mozen_frame_header_t) + 2) return false; + + memcpy(&header, raw_frame, sizeof(mozen_frame_header_t)); + if (header.command_id == MOZEN_CMD_ID_PARAM_CONFIG) // 0x02 + { + uint16_t full_frame_len = header.frame_length; + uint16_t data_len = full_frame_len - sizeof(mozen_frame_header_t); + const uint8_t *data_ptr = raw_frame + sizeof(mozen_frame_header_t); + uint16_t received_crc; + memcpy(&received_crc, raw_frame + full_frame_len, sizeof(uint16_t)); + + uint16_t calc_crc = mozen_protocol_checksum(raw_frame, full_frame_len); + if ((calc_crc == received_crc) || is_legacy_config_payload(data_ptr, data_len)) + { + handle_old_protocol_device_status((uint8_t *)data_ptr, data_len); + return true; // Handled + } + } + return false; // Not handled, fallback to standard parsing +} + +// --- Command Handlers --- +/* +* @brief handle sensor data +* @param context: context +* @param cmd_id: command id +* @param data: data +* @param length: length +* @retval none +*/ +static void handle_sensor_data(void *context, uint8_t cmd_id, const uint8_t *data, uint16_t length) +{ + if (length < 3) + { + MX_LOGE(MX_PTO_TAG, "sensor command length invalid: %u", (unsigned int)length); + return; + } + uint8_t new_data_type = data[0]; + if (new_data_type != g_sensor_data_type) + { + g_sensor_data_type = new_data_type; + app_math_cali_t temp_params; + bool got_params = false; + + got_params = app_math_get_temp_params(&temp_params); + + if (got_params) + { + temp_params.max_display_value = 4095; + temp_params.sensor_data_type = g_sensor_data_type; + + app_math_set_temp_params(&temp_params); + } + } + g_sensor_frames_to_send = *(uint16_t*)(&data[1]); +} + +// --- Response Utilities --- +/* +* @brief send mozen command response +* @param cmd_id: command id +* @param req_header: request header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void send_mozen_cmd_response(uint8_t cmd_id, const mozen_cmd_header_t* req_header, const uint8_t* payload, uint16_t payload_len) +{ + static uint8_t response_buf[1024]; + mozen_cmd_header_t* res_header = (mozen_cmd_header_t*)response_buf; + res_header->target_id = req_header->target_id; + res_header->sub_class = req_header->sub_class; + res_header->operation = req_header->operation; + if (payload && payload_len > 0) + { + memcpy(response_buf + sizeof(mozen_cmd_header_t), payload, payload_len); + } + mozen_protocol_send_frame(s_prot_instance, cmd_id, response_buf, sizeof(mozen_cmd_header_t) + payload_len, false); +} + +/* +* @brief send mozen command ok or ng +* @param cmd_id: command id +* @param req_header: request header +* @param success: success or not +* @retval none +*/ +static inline void send_mozen_cmd_ok_ng(uint8_t cmd_id, const mozen_cmd_header_t* req_header, bool success) +{ + uint8_t payload[2] = { success ? 'o' : 'N', success ? 'k' : 'G' }; + send_mozen_cmd_response(cmd_id, req_header, payload, 2); +} + +// --- Parameter Config Handlers (Cmd ID: 0x02) --- +/* +* @brief handle report mode +* @param header: header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void param_handle_report_mode(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len) +{ + if (header->sub_class == 0x01 && header->operation == 0x01 && payload_len >= 1) + { + if (payload[0] == 0x00) g_is_active_reporting = false; + else if (payload[0] == 0x01) g_is_active_reporting = true; + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PARAM_CONFIG, header, true); + } +} +/* +* @brief handle device info +* @param header: header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void param_handle_device_info(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len) +{ + if (header->operation == 0x00) + { + app_dev_info dev_info; + char sensor_size_text[sizeof(dev_info.sensor_size) + 1U] = {0}; + char protocol_ver_text[sizeof(dev_info.protocol_ver) + 1U] = {0}; + + if (app_device_get_info(&dev_info)) + { + memcpy(sensor_size_text, dev_info.sensor_size, sizeof(dev_info.sensor_size)); + memcpy(protocol_ver_text, dev_info.protocol_ver, sizeof(dev_info.protocol_ver)); + + uint8_t resp_payload[256]; + resp_payload[0] = 'o'; + resp_payload[1] = 'k'; + int json_len = snprintf((char *)(resp_payload + 2), + sizeof(resp_payload) - 2, + "{\"PN\":\"%s\",\"SN\":\"%s\",\"SV\":\"%s\",\"HVI\":\"%s\",\"XY\":\"%s\",\"Protocol\":\"%s\"}", + dev_info.pn, dev_info.sn, dev_info.sw_ver, dev_info.hw_ver, sensor_size_text, protocol_ver_text); + if (json_len > 0) { + send_mozen_cmd_response(MOZEN_CMD_ID_PARAM_CONFIG, header, resp_payload, 2 + (uint16_t)json_len); + } else { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PARAM_CONFIG, header, false); + } + } + else + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PARAM_CONFIG, header, false); + } + } +} +/* +* @brief handle calibration display +* @param header: header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void param_handle_cali_display(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len) +{ + if (header->operation == 0x00) + { + uint8_t success = 0; + uint16_t data_len = 0; + uint8_t resp_payload[256]; + + if (header->sub_class == 0x01) + { + success = app_math_read_temp_params(resp_payload + 2, &data_len); + } + else if (header->sub_class == 0x02) + { + success = app_math_read_solidified_params(resp_payload + 2, &data_len); + } + + if (success) + { + resp_payload[0] = 'o'; resp_payload[1] = 'k'; + send_mozen_cmd_response(MOZEN_CMD_ID_PARAM_CONFIG, header, resp_payload, 2 + data_len); + } + else + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PARAM_CONFIG, header, false); + } + } + else if (header->operation == 0x01) + { + uint8_t success = 0; + if (header->sub_class == 0x01) + { + success = app_math_write_temp_params(payload, payload_len); + } + else if (header->sub_class == 0x02) + { + success = app_math_save_params(payload, payload_len); + } + else if (header->sub_class == 0x03) + { + success = app_math_clear_params(); + app_calibration_invalidate_runtime(); + } + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PARAM_CONFIG, header, success); + } +} +/* +* @brief handle param config +* @param context: context +* @param cmd_id: cmd id +* @param data: data +* @param length: length +* @retval none +*/ +static void handle_param_config(void *context, uint8_t cmd_id, const uint8_t *data, uint16_t length) +{ + if (length < sizeof(mozen_cmd_header_t)) return; + + const mozen_cmd_header_t* cmd_header = (const mozen_cmd_header_t*)data; + const uint8_t* cmd_payload = data + sizeof(mozen_cmd_header_t); + uint16_t payload_len = length - sizeof(mozen_cmd_header_t); + + for (size_t i = 0; i < sizeof(s_param_handlers) / sizeof(s_param_handlers[0]); i++) + { + if (s_param_handlers[i].target_id == cmd_header->target_id) + { + s_param_handlers[i].handler(cmd_header, cmd_payload, payload_len); + break; + } + } +} +// --- Production Test Handlers (Cmd ID: 0xAA) --- + +/* +* @brief handle system command +* @param header: header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void prod_handle_sys_cmd(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len) +{ + if (header->operation == 0x01) + { + if (header->sub_class == 0x02) + { + if(payload_len > 0) + { + g_is_creep_enable = (payload[0] == 0x01); + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, true); + } + } + else if (header->sub_class == 0x01) + { + app_dev_info dev_info; + if (payload_len == 0U || payload_len >= sizeof(dev_info.sn)) + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + return; + } + if (!app_device_get_info(&dev_info)) + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + return; + } + memset(dev_info.sn, 0, sizeof(dev_info.sn)); + memcpy(dev_info.sn, payload, payload_len); + if (!app_device_set_info(&dev_info)) + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + return; + } + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, true); + } + } +} + +/* +* @brief handle map calibration +* @param header: header +* @param payload: payload +* @param payload_len: payload length +* @retval none +*/ +static void prod_handle_map_cali_cmd(const mozen_cmd_header_t* header, const uint8_t* payload, uint16_t payload_len) +{ + uint8_t resp_payload[260]; + + // First, handle map temp params (operation 0x01, sub_class 0x3F / 0x3D) which return no response + // First, handle map temp params (operation 0x01, sub_class 0x3F / 0x3D) which return no response + if (header->operation == 0x01) + { + if (header->sub_class == 0x3F) + { + app_map_write_temp_params(payload, payload_len); + return; + } + else if (header->sub_class == 0x3D) + { + app_map_save_params(payload, payload_len); + return; + } + } + + switch (header->sub_class) + { + case 0x4F: + if (header->operation == 0x00) + { + uint16_t d_len; + if(app_pressure_read_temp_params(resp_payload + 2, &d_len)) + { + resp_payload[0] = 'o'; resp_payload[1] = 'k'; + send_mozen_cmd_response(MOZEN_CMD_ID_PROD_TEST, header, resp_payload, 2 + d_len); + } else { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + } + } else if (header->operation == 0x01) { + bool success = app_pressure_write_temp_params(payload, payload_len); + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, success); + } + break; + case 0x4D: + if (header->operation == 0x00) + { + uint16_t d_len; + if(app_pressure_read_solidified_params(resp_payload + 2, &d_len)) + { + resp_payload[0] = 'o'; resp_payload[1] = 'k'; + send_mozen_cmd_response(MOZEN_CMD_ID_PROD_TEST, header, resp_payload, 2 + d_len); + } else { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + } + } else if (header->operation == 0x01) + { + bool success = app_pressure_save_params(payload, payload_len); + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, success); + } + break; + case 0x3F: + case 0x3D: + if (header->operation == 0x00) + { + uint32_t total_data_len = app_map_data_size(); + uint16_t total_packets = (total_data_len + 240 - 1) / 240; + memcpy(resp_payload, &total_data_len, sizeof(uint32_t)); + memcpy(resp_payload + 4, &total_packets, sizeof(uint16_t)); + send_mozen_cmd_response(MOZEN_CMD_ID_PROD_TEST, header, resp_payload, 6); + } + else if (header->operation == 0x02) + { + if (payload_len < 2) + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + break; + } + uint16_t packet_index; + memcpy(&packet_index, payload, sizeof(uint16_t)); + uint32_t total_data_len = app_map_data_size(); + uint32_t offset = (packet_index - 1) * 240; + + if (offset >= total_data_len) + { + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, false); + break; + } + uint16_t chunk_len = 240; + if (offset + chunk_len > total_data_len) chunk_len = total_data_len - offset; + + memcpy(resp_payload, &packet_index, sizeof(uint16_t)); + memcpy(resp_payload + 2, app_map_data_ptr() + offset, chunk_len); + send_mozen_cmd_response(MOZEN_CMD_ID_PROD_TEST, header, resp_payload, 2 + chunk_len); + } + break; + case 0x00: + if (header->operation == 0x01) + { + bool success = app_pressure_clear_params(); + success = success && app_map_clear_params(); + send_mozen_cmd_ok_ng(MOZEN_CMD_ID_PROD_TEST, header, success); + app_calibration_invalidate_runtime(); + } + break; + } +} + +/* +* This function handles the production test command. +* It checks the target ID and calls the appropriate handler function. +* @param context The context pointer. +* @param cmd_id The command ID. +* @param data The command data. +* @param length The length of the command data. +*/ +static void handle_production_test(void *context, uint8_t cmd_id, const uint8_t *data, uint16_t length) +{ + if (length < sizeof(mozen_cmd_header_t)) return; + + const mozen_cmd_header_t* cmd_header = (const mozen_cmd_header_t*)data; + const uint8_t* cmd_payload = data + sizeof(mozen_cmd_header_t); + uint16_t payload_len = length - sizeof(mozen_cmd_header_t); + + for (size_t i = 0; i < sizeof(s_prod_handlers) / sizeof(s_prod_handlers[0]); i++) + { + if (s_prod_handlers[i].target_id == cmd_header->target_id) { + s_prod_handlers[i].handler(cmd_header, cmd_payload, payload_len); + break; + } + } +} + +/* +* This function handles the tunnel command. +* It calls the tunnel handle command function with the command data. +* @param context The context pointer. +* @param cmd_id The command ID. +* @param data The command data. +* @param length The length of the command data. +*/ +static void handle_tunnel_command(void *context, uint8_t cmd_id, const uint8_t *data, uint16_t length) +{ + mozen_tunnel_handle_command(&s_tunnel_instance, data, length); +} + +// --- Tunnel Callbacks --- +/* +* This function is called when a stream starts. +* It checks if the target command is production test and the sub class is 0x3F or 0x3D. +* If so, it sets the stream state to streaming write and initializes the write pointer. +* @param context The context pointer. +* @param target_cmd The target command. +* @param first_chunk_data The first chunk of data. +* @param chunk_len The length of the chunk. +* @return true if the stream is started, false otherwise. +*/ +static bool tunnel_on_stream_start(void *context, uint8_t target_cmd, const uint8_t *first_chunk_data, uint16_t chunk_len) +{ + if (target_cmd == MOZEN_CMD_ID_PROD_TEST) { + const mozen_cmd_header_t* pt_header = (const mozen_cmd_header_t*)first_chunk_data; + if (chunk_len >= sizeof(mozen_cmd_header_t) && pt_header->target_id == MOZEN_PROD_TGT_MAP_CALI && pt_header->operation == 0x01) + { + if (pt_header->sub_class == 0x3F || pt_header->sub_class == 0x3D) + { + s_stream_state.is_streaming_write = true; + s_stream_state.target_sub_class = pt_header->sub_class; + s_stream_state.target_cmd = target_cmd; + s_stream_state.write_ptr = app_map_data_ptr(); + + uint16_t data_offset = sizeof(mozen_cmd_header_t); + uint16_t data_to_write = chunk_len - data_offset; + uint8_t* end_ptr = (app_map_data_ptr() + app_map_data_size()); + + if (s_stream_state.write_ptr + data_to_write > end_ptr) { + data_to_write = end_ptr - s_stream_state.write_ptr; + } + + if (data_to_write > 0) { + memcpy(s_stream_state.write_ptr, first_chunk_data + data_offset, data_to_write); + s_stream_state.write_ptr += data_to_write; + } + return true; + } + } + } + return false; +} + +/* +* This function is called when data is received during a stream. +* It checks if the stream is in streaming write mode and writes the data to the map data buffer. +* @param context The context pointer. +* @param data The data. +* @param len The length of the data. +* @return true if the data is handled, false otherwise. +*/ +static bool tunnel_on_stream_data(void *context, const uint8_t *data, uint16_t len) +{ + if (s_stream_state.is_streaming_write) { + uint8_t* end_ptr = (app_map_data_ptr() + app_map_data_size()); + uint16_t data_to_write = len; + + if (s_stream_state.write_ptr >= end_ptr) { + data_to_write = 0; + } else if (s_stream_state.write_ptr + data_to_write > end_ptr) { + data_to_write = end_ptr - s_stream_state.write_ptr; + } + + if (data_to_write > 0) { + memcpy(s_stream_state.write_ptr, data, data_to_write); + s_stream_state.write_ptr += data_to_write; + } + return true; + } + return false; +} + +/* +* This function is called when a stream finishes. +* It checks if the stream is in streaming write mode and saves the map parameters if the target command is production test and the sub class is 0x3F or 0x3D. +* @param context The context pointer. +* @param success The success flag. +* @return None. +*/ +static void tunnel_on_stream_finish(void *context, bool success) +{ + if (s_stream_state.is_streaming_write && success) + { + uint32_t expected_bytes = app_map_data_size(); + uint32_t written_bytes = (uint32_t)(s_stream_state.write_ptr - app_map_data_ptr()); + + if (written_bytes >= expected_bytes) + { + if (s_stream_state.target_cmd == MOZEN_CMD_ID_PROD_TEST && s_stream_state.target_sub_class == 0x3D) + { + app_map_save_params(app_map_data_ptr(), (uint16_t)expected_bytes); + app_calibration_request_reset_effect(); + } + } + } + s_stream_state.is_streaming_write = false; + s_stream_state.write_ptr = NULL; +} + +// --- Init --- + +/* +* @brief: Initialize the mozen handler. +* @param tx_fn: The function to send data. +* @return None. +*/ +void app_mozen_init(mozen_tx_fn_t tx_fn) +{ + mozen_protocol_init(&g_mozen_prot, s_rx_buf, sizeof(s_rx_buf), + s_tx_buf_main, s_tx_buf_irq, sizeof(s_tx_buf_main), + tx_fn, NULL); + app_mozen_handler_init(&g_mozen_prot); +} + +/* +* @brief: Handle raw frame from mozen protocol +* @param: prot - Protocol instance +* @return: None +*/ +void app_mozen_handler_init(mozen_protocol_t *prot) +{ + s_prot_instance = prot; + + // Register commands + mozen_protocol_register_handler(prot, MOZEN_CMD_ID_SENSOR_DATA, handle_sensor_data); + mozen_protocol_register_handler(prot, MOZEN_CMD_ID_PARAM_CONFIG, handle_param_config); + mozen_protocol_register_handler(prot, MOZEN_CMD_ID_PROD_TEST, handle_production_test); + mozen_protocol_register_handler(prot, MOZEN_TUNNEL_COMMAND_ID, handle_tunnel_command); + + // Legacy handler + mozen_protocol_set_raw_handler(prot, app_mozen_raw_frame_handler); + + // Init tunnel + mozen_tunnel_init(&s_tunnel_instance, prot, 240, NULL); + mozen_tunnel_set_callbacks(&s_tunnel_instance, tunnel_on_stream_start, tunnel_on_stream_data, tunnel_on_stream_finish); +} diff --git a/app_cail/moxzen_protocol/app_mozen_handler.h b/app_cail/moxzen_protocol/app_mozen_handler.h new file mode 100644 index 0000000..b1259db --- /dev/null +++ b/app_cail/moxzen_protocol/app_mozen_handler.h @@ -0,0 +1,48 @@ +#ifndef __APP_MOZEN_HANDLER_H +#define __APP_MOZEN_HANDLER_H + +#include +#include "mozen_protocol.h" + +// Ͷ +enum +{ + SENSOR_BIT_8 = 0x01, + SENSOR_BIT_16, +}; + +// ȫ״̬ԭ mozen_protocol.h ж壬Ӧò +extern volatile uint16_t g_sensor_frames_to_send; +extern volatile uint8_t g_sensor_data_type; + +// --- Protocol Command IDs --- +#define MOZEN_CMD_ID_SENSOR_DATA 0x01 // --- --- +#define MOZEN_CMD_ID_PARAM_CONFIG 0x02 // --- --- +#define MOZEN_CMD_ID_PROD_TEST 0xAA // --- --- + +// --- Param Config Target IDs (Command 0x02) --- +#define MOZEN_PARAM_TGT_REPORT_MODE 0x01 +#define MOZEN_PARAM_TGT_CALI_DISPLAY 0x3D +#define MOZEN_PARAM_TGT_DEVICE_INFO 0x3F + +// --- Production Test Target IDs (Command 0xAA) --- +#define MOZEN_PROD_TGT_SYS 0x01 +#define MOZEN_PROD_TGT_MAP_CALI 0x03 + +// Global protocol instance for application +extern mozen_protocol_t g_mozen_prot; + +/** + * @brief Initialize the Mozen application handlers. + * This will register all necessary command handlers to the protocol instance. + * @param prot Protocol instance to bind to. + */ +void app_mozen_handler_init(mozen_protocol_t *prot); + +/** + * @brief Top level initialization for Mozen protocol and application handlers. + * @param tx_fn The transmit callback function. + */ +void app_mozen_init(mozen_tx_fn_t tx_fn); + +#endif // __APP_MOZEN_HANDLER_H diff --git a/app_cail/moxzen_protocol/mozen_protocol.c b/app_cail/moxzen_protocol/mozen_protocol.c new file mode 100644 index 0000000..ae17fce --- /dev/null +++ b/app_cail/moxzen_protocol/mozen_protocol.c @@ -0,0 +1,315 @@ +#include "mozen_protocol.h" +#include +#include "bsp_uart.h" + +// --- Helper Functions --- +/* +* Calculate CRC16 for data +* @param data: Pointer to data +* @param length: Length of data +* @return: CRC16 value +* @note: This function is used for Modbus CRC16 +*/ +uint16_t mozen_protocol_crc16_modbus(const uint8_t *data, uint16_t length) +{ + uint16_t crc = 0xFFFF; + for (uint16_t i = 0; i < length; i++) + { + crc ^= data[i]; + for (uint8_t j = 0; j < 8; j++) + { + if (crc & 0x0001) crc = (crc >> 1) ^ 0xA001; + else crc >>= 1; + } + } + return crc; +} + +/* +* Calculate checksum for data +* @param data: Pointer to data +* @param len: Length of data +* @return: Checksum value +* @note: This function is used for legacy checksum protocols +*/ +uint16_t mozen_protocol_checksum(const uint8_t *data, uint32_t len) +{ + uint16_t sum = 0; + for (uint32_t i = 0; i < len; ++i) + { + sum += data[i]; + } + return sum; +} + +// --- Internal Functions --- + +/* +* Reset RX state +* @param prot: Pointer to mozen_protocol_t structure +* @note: This function is called automatically by mozen_protocol_process_rx +*/ +static void mozen_protocol_reset_rx(mozen_protocol_t *prot) +{ + prot->rx_state = MOZEN_RX_STATE_WAIT_SOF1; // Reset to wait for SOF1 + prot->rx_index = 0; // Reset index + prot->expected_data_len = 0; // Reset expected data length +} + +/* +* Dispatch received frame +* @param prot: Pointer to mozen_protocol_t structure +* @note: This function is called automatically by mozen_protocol_process_rx +* when a complete frame is received +*/ +static void mozen_protocol_dispatch(mozen_protocol_t *prot) +{ + if (prot->rx_index < sizeof(mozen_frame_header_t) + 2) return; // Too short + + uint16_t received_crc; // Extract CRC from frame + mozen_frame_header_t header; + memcpy(&header, prot->rx_buffer, sizeof(mozen_frame_header_t)); + + if (header.sof != MOZEN_PROTOCOL_SOF) return; + + uint16_t full_frame_len = header.frame_length; + uint32_t total_len = (uint32_t)full_frame_len + 2; // +2 for SOF and CRC + if (total_len > prot->rx_index || total_len > prot->rx_buffer_size) return; + + + uint16_t data_len = full_frame_len - sizeof(mozen_frame_header_t); // Exclude header + const uint8_t *data_ptr = prot->rx_buffer + sizeof(mozen_frame_header_t); // Point to data + + memcpy(&received_crc, prot->rx_buffer + full_frame_len, sizeof(uint16_t)); // Extract CRC from frame + + // 1. Raw frame handler check (e.g. for legacy checksum protocols) + if (prot->raw_frame_handler) + { + if (prot->raw_frame_handler(prot->user_context, prot->rx_buffer, total_len)) return; // Handled by custom raw handler + } + + // 2. Standard CRC16 check + uint16_t calculated_crc = mozen_protocol_crc16_modbus(prot->rx_buffer, full_frame_len); + if (received_crc != calculated_crc) return; // CRC Error + + // 3. Dispatch to registered handlers + for (uint8_t i = 0; i < prot->handler_count; i++) + { + if (prot->handlers[i].cmd_id == header.command_id) + { + prot->handlers[i].handler(prot->user_context, header.command_id, data_ptr, data_len); + return; + } + } + + // 4. Default handler fallback + if (prot->default_handler) + { + prot->default_handler(prot->user_context, header.command_id, data_ptr, data_len); + } +} + +// --- API Functions --- +/* +* Initialize mozen_protocol_t structure +* @param prot: Pointer to mozen_protocol_t structure +* @param rx_buf: Pointer to RX buffer +* @param rx_buf_size: Size of RX buffer +* @param tx_buf_main: Pointer to TX buffer +* @param tx_buf_irq: Pointer to IRQ TX buffer (optional) +* @param tx_buf_size: Size of TX buffer +* @param tx_fn: TX function +* @param user_context: User context for TX function +* @note: This function should be called once before using the protocol +*/ +void mozen_protocol_init(mozen_protocol_t *prot, + uint8_t *rx_buf, uint16_t rx_buf_size, + uint8_t *tx_buf_main, uint8_t *tx_buf_irq, uint16_t tx_buf_size, + mozen_tx_fn_t tx_fn, void *user_context) +{ + if (!prot) return; + + memset(prot, 0, sizeof(mozen_protocol_t)); + + prot->rx_buffer = rx_buf; + prot->rx_buffer_size = rx_buf_size; + prot->tx_buffer_main = tx_buf_main; + prot->tx_buffer_irq = tx_buf_irq ? tx_buf_irq : tx_buf_main; + prot->tx_buffer_size = tx_buf_size; + prot->tx_fn = tx_fn; + prot->user_context = user_context; + + mozen_protocol_reset_rx(prot); +} + +/* +* Register a command handler +* @param prot: Pointer to mozen_protocol_t structure +* @param cmd_id: Command ID +* @param handler: Command handler function +* @return: 0 on success, -1 on failure +* @note: This function can be called multiple times to register multiple handlers +*/ +int mozen_protocol_register_handler(mozen_protocol_t *prot, uint8_t cmd_id, mozen_cmd_handler_t handler) +{ + if (!prot || !handler) return -1; + if (prot->handler_count >= MOZEN_MAX_HANDLERS) return -1; + + prot->handlers[prot->handler_count].cmd_id = cmd_id; + prot->handlers[prot->handler_count].handler = handler; + prot->handler_count++; + + return 0; +} + +/* +* Process RX buffer +* @param prot: Pointer to mozen_protocol_t structure +* @param current_time_ms: Current time in milliseconds +* @note: This function should be called periodically to process incoming data +*/ +void mozen_protocol_set_default_handler(mozen_protocol_t *prot, mozen_cmd_handler_t handler) +{ + if (prot) prot->default_handler = handler; +} + +/* +* Set raw frame handler +* @param prot: Pointer to mozen_protocol_t structure +* @param handler: Raw frame handler function +* @note: This function can be used to handle legacy checksum protocols or custom protocols +*/ +void mozen_protocol_set_raw_handler(mozen_protocol_t *prot, mozen_raw_frame_handler_t handler) +{ + if (prot) prot->raw_frame_handler = handler; +} + +/* +* Feed a byte to the protocol +* @param prot: Pointer to mozen_protocol_t structure +* @param byte: Byte to feed +* @param current_time_ms: Current time in milliseconds +* @note: This function should be called whenever a new byte is received +*/ +void mozen_protocol_feed_byte(mozen_protocol_t *prot, uint8_t byte, uint32_t current_time_ms) +{ + if (!prot || !prot->rx_buffer) return; + + prot->last_rx_time_ms = current_time_ms; + + switch (prot->rx_state) + { + case MOZEN_RX_STATE_WAIT_SOF1: + if (byte == (MOZEN_PROTOCOL_SOF & 0xFF)) + { + prot->rx_buffer[0] = byte; + prot->rx_index = 1; + prot->rx_state = MOZEN_RX_STATE_WAIT_SOF2; + } + break; + + case MOZEN_RX_STATE_WAIT_SOF2: + if (byte == (MOZEN_PROTOCOL_SOF >> 8)) + { + prot->rx_buffer[1] = byte; + prot->rx_index = 2; + prot->rx_state = MOZEN_RX_STATE_WAIT_HEADER; + } + else { mozen_protocol_reset_rx(prot);} + break; + + case MOZEN_RX_STATE_WAIT_HEADER: // Wait for frame header + prot->rx_buffer[prot->rx_index++] = byte; + if (prot->rx_index >= sizeof(mozen_frame_header_t)) + { + mozen_frame_header_t header; + memcpy(&header, prot->rx_buffer, sizeof(mozen_frame_header_t)); + + prot->expected_data_len = header.frame_length - sizeof(mozen_frame_header_t) + 2; // +2 for CRC + + if ((sizeof(mozen_frame_header_t) + prot->expected_data_len) > prot->rx_buffer_size) + { + mozen_protocol_reset_rx(prot); + return; + } + prot->rx_state = MOZEN_RX_STATE_WAIT_DATA; + } + break; + + case MOZEN_RX_STATE_WAIT_DATA: + prot->rx_buffer[prot->rx_index++] = byte; + if (prot->rx_index >= (sizeof(mozen_frame_header_t) + prot->expected_data_len)) + { + mozen_protocol_dispatch(prot); + mozen_protocol_reset_rx(prot); + } else if (prot->rx_index >= prot->rx_buffer_size) { + // Should not happen due to header check, but safe guard against buffer overflow + mozen_protocol_reset_rx(prot); + } + break; + } +} + +/* +* Reset the protocol state +* @param prot: Pointer to mozen_protocol_t structure +* current_time_ms: Current time in milliseconds +* timeout_ms: Timeout in milliseconds +* @note: This function should be called when a timeout occurs or when a frame is received +*/ +void mozen_protocol_tick(mozen_protocol_t *prot, uint32_t current_time_ms, uint32_t timeout_ms) +{ + if (!prot) return; + + if (prot->rx_state != MOZEN_RX_STATE_WAIT_SOF1) + { + // Calculate diff taking into account potential integer overflow/wraparound + uint32_t time_diff = current_time_ms - prot->last_rx_time_ms; + if (time_diff > timeout_ms) + { + mozen_protocol_reset_rx(prot); + } + } +} + +/* +* Send a frame +* @param prot: Pointer to mozen_protocol_t structure +* @param command_id: Command ID +* @param data: Data to send +* @param length: Length of data +* @param use_irq_buffer: Use IRQ buffer for sending +* @return: 0 on success, -1 on error +* @note: This function sends a frame using the provided data and command ID +*/ +int mozen_protocol_send_frame(mozen_protocol_t *prot, uint8_t command_id, const uint8_t* data, uint16_t length, bool use_irq_buffer) +{ + if (!prot || !prot->tx_fn) return -1; + + uint16_t frame_length = sizeof(mozen_frame_header_t) + length; //Total length after removing CRC + uint16_t total_length = frame_length + 2; // Total length including CRC + + if (total_length > prot->tx_buffer_size) return -1; + + // During the transmission stage, double buffering is employed to prevent the data frames of the main loop from overlapping with the interrupt ACKs. + // The sensor data frames and ACKs may be sent concurrently in different contexts. + // The two static buffers can avoid overwriting and competition. + // The ACKs use an independent buffer to prevent interference with large packet transmission. + uint8_t *active_buffer = use_irq_buffer ? prot->tx_buffer_irq : prot->tx_buffer_main; + + mozen_frame_header_t header; + header.sof = MOZEN_PROTOCOL_SOF; + header.command_id = command_id; + header.frame_length = frame_length; + + memcpy(active_buffer, &header, sizeof(mozen_frame_header_t)); + if (data && length > 0) + { + memcpy(active_buffer + sizeof(mozen_frame_header_t), data, length); + } + + uint16_t crc = mozen_protocol_crc16_modbus(active_buffer, frame_length); + memcpy(active_buffer + frame_length, &crc, sizeof(uint16_t)); + + return prot->tx_fn(active_buffer, total_length); +} diff --git a/app_cail/moxzen_protocol/mozen_protocol.h b/app_cail/moxzen_protocol/mozen_protocol.h new file mode 100644 index 0000000..44a1d0f --- /dev/null +++ b/app_cail/moxzen_protocol/mozen_protocol.h @@ -0,0 +1,120 @@ +#ifndef __MOZEN_PROTOCOL_H +#define __MOZEN_PROTOCOL_H + +#include +#include + +#define MOZEN_PROTOCOL_SOF 0x5AA5 // ֡ͷ + +// --- Core Protocol Data Structures --- + +#pragma pack(1) +/** + * @brief Represents the header of a Mozen protocol frame. + * The payload data follows this header directly in the buffer. + */ +typedef struct +{ + uint16_t sof; + uint8_t command_id; + uint16_t frame_length; +} mozen_frame_header_t; +#pragma pack() + +/** + * @brief Command handler callback type. + * @param context User context provided during registration. + * @param cmd_id The command ID of the received frame. + * @param data Pointer to the 'Data' field of the received frame. + * @param length The length of the 'Data' field. + */ +typedef void (*mozen_cmd_handler_t)(void *context, uint8_t cmd_id, const uint8_t *data, uint16_t length); + +/** + * @brief Custom raw frame handler, used for legacy protocol compatibility or custom validation. + * @param context User context. + * @param raw_frame The complete raw frame data. + * @param length The length of the complete raw frame. + * @return true if the frame is handled and should not be processed further, false otherwise. + */ +typedef bool (*mozen_raw_frame_handler_t)(void *context, const uint8_t *raw_frame, uint16_t length); + +/** + * @brief Transport TX callback type. + * @param frame Complete protocol frame buffer (header + payload + crc). + * @param len Frame length in bytes. + * @return 0 on success, negative value on failure. + */ +typedef int (*mozen_tx_fn_t)(const uint8_t *frame, uint16_t len); + +// Max number of registered command handlers +#define MOZEN_MAX_HANDLERS 10 + +// RX State Machine States +typedef enum +{ + MOZEN_RX_STATE_WAIT_SOF1, + MOZEN_RX_STATE_WAIT_SOF2, + MOZEN_RX_STATE_WAIT_HEADER, + MOZEN_RX_STATE_WAIT_DATA, +} mozen_rx_state_t; + +/** + * @brief Mozen Protocol Instance Context + * Contains state and configurations for a single protocol instance. + */ +typedef struct +{ + // Buffers and configuration + uint8_t *rx_buffer; + uint16_t rx_buffer_size; + uint8_t *tx_buffer_main; // Main TX buffer + uint8_t *tx_buffer_irq; // IRQ TX buffer + uint16_t tx_buffer_size; + + // Callbacks + mozen_tx_fn_t tx_fn; + void *user_context; + + // Command Handlers + struct + { + uint8_t cmd_id; + mozen_cmd_handler_t handler; + } handlers[MOZEN_MAX_HANDLERS]; + uint8_t handler_count; + + mozen_cmd_handler_t default_handler; + mozen_raw_frame_handler_t raw_frame_handler; + + // RX State Machine + mozen_rx_state_t rx_state; + uint16_t rx_index; + uint16_t expected_data_len; + uint32_t last_rx_time_ms; // For timeout handling +} mozen_protocol_t; + +// --- API Functions --- + +void mozen_protocol_init(mozen_protocol_t *prot, + uint8_t *rx_buf, uint16_t rx_buf_size, + uint8_t *tx_buf_main, uint8_t *tx_buf_irq, uint16_t tx_buf_size, + mozen_tx_fn_t tx_fn, void *user_context); + +int mozen_protocol_register_handler(mozen_protocol_t *prot, uint8_t cmd_id, mozen_cmd_handler_t handler); + +void mozen_protocol_set_default_handler(mozen_protocol_t *prot, mozen_cmd_handler_t handler); + +void mozen_protocol_set_raw_handler(mozen_protocol_t *prot, mozen_raw_frame_handler_t handler); + +void mozen_protocol_feed_byte(mozen_protocol_t *prot, uint8_t byte, uint32_t current_time_ms); + +void mozen_protocol_tick(mozen_protocol_t *prot, uint32_t current_time_ms, uint32_t timeout_ms); + +int mozen_protocol_send_frame(mozen_protocol_t *prot, uint8_t command_id, const uint8_t* data, uint16_t length, bool use_irq_buffer); + +uint16_t mozen_protocol_crc16_modbus(const uint8_t *data, uint16_t length); + +uint16_t mozen_protocol_checksum(const uint8_t *data, uint32_t len); + +#endif // __MOZEN_PROTOCOL_H diff --git a/app_cail/moxzen_protocol/mozen_tunnel.c b/app_cail/moxzen_protocol/mozen_tunnel.c new file mode 100644 index 0000000..4dd779e --- /dev/null +++ b/app_cail/moxzen_protocol/mozen_tunnel.c @@ -0,0 +1,197 @@ +#include "mozen_tunnel.h" +#include +// ְ + +/* +* Initialize tunnel +* tunnel: tunnel context +* prot: protocol context +* mtu: maximum transmission unit +* user_context: user context +* returns: none +*/ +void mozen_tunnel_init(mozen_tunnel_t *tunnel, mozen_protocol_t *prot, uint16_t mtu, void *user_context) +{ + if (!tunnel) return; + memset(tunnel, 0, sizeof(mozen_tunnel_t)); + tunnel->prot = prot; + tunnel->mtu = mtu; + tunnel->user_context = user_context; +} + +/* + * Send a response to the tunnel command + * tunnel: tunnel context + * target_cmd: command id + * is_ok: true if the command was successful, false otherwise + * returns: none +*/ +void mozen_tunnel_set_callbacks(mozen_tunnel_t *tunnel, + mozen_tunnel_on_stream_start_t on_start, + mozen_tunnel_on_stream_data_t on_data, + mozen_tunnel_on_stream_finish_t on_finish) +{ + if (!tunnel) return; + tunnel->on_start = on_start; + tunnel->on_data = on_data; + tunnel->on_finish = on_finish; +} + +/* +* Send a response to the tunnel command +* tunnel: tunnel context +* target_cmd: command id +* is_ok: true if the command was successful, false otherwise +* returns: none +*/ +static void mozen_tunnel_send_response(mozen_tunnel_t *tunnel, uint8_t target_cmd, bool is_ok) +{ + if (!tunnel || !tunnel->prot) return; + + uint8_t res_buf[sizeof(mozen_tunnel_header_t) + 2]; + mozen_tunnel_header_t *res_header = (mozen_tunnel_header_t *)res_buf; + + res_header->tunnel_type = TUNNEL_TYPE_DATA_TRANSFER; + res_header->target_cmd = target_cmd; + res_buf[sizeof(mozen_tunnel_header_t)] = is_ok ? 'o' : 'N'; + res_buf[sizeof(mozen_tunnel_header_t) + 1] = is_ok ? 'k' : 'G'; + // tunnel messages go through IRQ buffer context to avoid disrupting main buffer? + // The previous implementation used the default send context. + mozen_protocol_send_frame(tunnel->prot, MOZEN_TUNNEL_COMMAND_ID, res_buf, sizeof(res_buf), true); +} + +/* +* Handle a received tunnel frame +* tunnel: tunnel context +* data: received data +* length: received data length +* returns: none +*/ +static void mozen_tunnel_abort(mozen_tunnel_t *tunnel) +{ + if (tunnel->is_active) + { + if (tunnel->on_finish) + { + tunnel->on_finish(tunnel->user_context, false); + } + tunnel->is_active = false; + } +} + +/* +* Handle a received tunnel frame +* tunnel: tunnel context +* data: received data +* length: received data length +* returns: none +*/ +void mozen_tunnel_handle_command(mozen_tunnel_t *tunnel, const uint8_t *data, uint16_t length) +{ + if (!tunnel || length < sizeof(mozen_tunnel_header_t)) return; + + const mozen_tunnel_header_t *tunnel_header = (const mozen_tunnel_header_t *)data; + const uint8_t *payload = data + sizeof(mozen_tunnel_header_t); + uint16_t payload_len = length - sizeof(mozen_tunnel_header_t); + + switch (tunnel_header->tunnel_type) + { + case TUNNEL_TYPE_HANDSHAKE: // handshake request + { + if (payload_len < sizeof(uint32_t) + sizeof(uint16_t)) return; + + mozen_tunnel_abort(tunnel); // Abort any ongoing stream + + tunnel->is_active = true; + tunnel->target_cmd = tunnel_header->target_cmd; + + memcpy(&tunnel->total_data_len, payload, sizeof(uint32_t)); + memcpy(&tunnel->total_packets, payload + sizeof(uint32_t), sizeof(uint16_t)); + + tunnel->next_packet_index = 1; + tunnel->received_data_len = 0; + + // Prepare and send handshake response + uint8_t res_buf[sizeof(mozen_tunnel_handshake_res_t)]; + mozen_tunnel_handshake_res_t *res = (mozen_tunnel_handshake_res_t *)res_buf; + res->header.tunnel_type = TUNNEL_TYPE_RESPONSE; + res->header.target_cmd = tunnel_header->target_cmd; + res->status = 0x6B6F; // 'ok' (little-endian: 'o' is 0x6F, 'k' is 0x6B) + res->mtu = tunnel->mtu; + + if (tunnel->prot) + { + mozen_protocol_send_frame(tunnel->prot, MOZEN_TUNNEL_COMMAND_ID, (uint8_t *)res, sizeof(mozen_tunnel_handshake_res_t), true); + } + break; + } + + case TUNNEL_TYPE_DATA_TRANSFER: // data transfer + { + if (!tunnel->is_active || tunnel_header->target_cmd != tunnel->target_cmd) return; + if (payload_len < sizeof(uint16_t)) return; + + uint16_t packet_index; + memcpy(&packet_index, payload, sizeof(uint16_t)); + + if (packet_index != tunnel->next_packet_index) + { + mozen_tunnel_send_response(tunnel, tunnel->target_cmd, false); + mozen_tunnel_abort(tunnel); + return; + } + + const uint8_t *chunk_data = payload + sizeof(uint16_t); + uint16_t chunk_len = payload_len - sizeof(uint16_t); + + bool accepted = true; + + if (packet_index == 1) + { + if (tunnel->on_start) + { + accepted = tunnel->on_start(tunnel->user_context, tunnel->target_cmd, chunk_data, chunk_len); + } + } + else + { + if (tunnel->on_data) + { + accepted = tunnel->on_data(tunnel->user_context, chunk_data, chunk_len); + } + } + + if (!accepted) + { + mozen_tunnel_send_response(tunnel, tunnel->target_cmd, false); + mozen_tunnel_abort(tunnel); + return; + } + + tunnel->received_data_len += chunk_len; + tunnel->next_packet_index++; + + mozen_tunnel_send_response(tunnel, tunnel->target_cmd, true); + + if (tunnel->next_packet_index > tunnel->total_packets) + { + if (tunnel->received_data_len == tunnel->total_data_len) + { + if (tunnel->on_finish) + { + tunnel->on_finish(tunnel->user_context, true); + } + } + else + { + if (tunnel->on_finish) + { + tunnel->on_finish(tunnel->user_context, false); + } + } + tunnel->is_active = false; + } + break; + } + } +} diff --git a/app_cail/moxzen_protocol/mozen_tunnel.h b/app_cail/moxzen_protocol/mozen_tunnel.h new file mode 100644 index 0000000..3381195 --- /dev/null +++ b/app_cail/moxzen_protocol/mozen_tunnel.h @@ -0,0 +1,113 @@ +#ifndef __MOZEN_TUNNEL_H +#define __MOZEN_TUNNEL_H + +#include +#include +#include "mozen_protocol.h" + +// --- Tunnel Protocol Definitions --- + +#define MOZEN_TUNNEL_COMMAND_ID 0xFB // Tunnel command ID + +typedef enum +{ + TUNNEL_TYPE_HANDSHAKE = 0x01, // Handshake request + TUNNEL_TYPE_DATA_TRANSFER = 0x02, // Data transfer + TUNNEL_TYPE_RESPONSE = 0xFF, // Special type for responses +} mozen_tunnel_type_t; + +#pragma pack(1) +// Эͷ +typedef struct { + uint8_t tunnel_type; + uint8_t target_cmd; +} mozen_tunnel_header_t; + +// ṹ +typedef struct { + mozen_tunnel_header_t header; + uint32_t total_data_length; + uint16_t total_packets; +} mozen_tunnel_handshake_req_t; + +// ݰṹ +typedef struct { + mozen_tunnel_header_t header; + uint16_t status; // 'ok' or 'NG' + uint16_t mtu; +} mozen_tunnel_handshake_res_t; + +// ݴṹ +typedef struct { + mozen_tunnel_header_t header; + uint16_t packet_index; + uint8_t data_chunk[]; // Flexible array member for data +} mozen_tunnel_data_t; + +// Ӧṹ +typedef struct { + mozen_tunnel_header_t header; + uint16_t status; // 'ok' or 'NG' +} mozen_tunnel_response_t; +#pragma pack() + +// --- Tunnel Context and Callbacks --- + +/** + * @brief Callback for starting a stream write. + * @param context User context. + * @param target_cmd The command indicating the stream target. + * @param first_chunk_data The first chunk of data, useful for analyzing sub-headers. + * @param chunk_len Length of the first chunk. + * @return True if streaming can begin, false to reject. + */ +typedef bool (*mozen_tunnel_on_stream_start_t)(void *context, uint8_t target_cmd, const uint8_t *first_chunk_data, uint16_t chunk_len); + +/** + * @brief Callback for continuing a stream write. + * @param context User context. + * @param data Chunk data. + * @param len Chunk length. + * @return True if chunk accepted, false to abort. + */ +typedef bool (*mozen_tunnel_on_stream_data_t)(void *context, const uint8_t *data, uint16_t len); + +/** + * @brief Callback for finishing a stream write. + * @param context User context. + * @param success True if the transfer completed successfully, false if aborted. + */ +typedef void (*mozen_tunnel_on_stream_finish_t)(void *context, bool success); + +typedef struct +{ + bool is_active; + uint8_t target_cmd; + uint32_t total_data_len; + uint16_t total_packets; + uint16_t next_packet_index; + uint32_t received_data_len; + + // Config + uint16_t mtu; // Max packet size + mozen_protocol_t *prot; // For sending ACKs + void *user_context; // For callbacks + + // Callbacks + mozen_tunnel_on_stream_start_t on_start; + mozen_tunnel_on_stream_data_t on_data; + mozen_tunnel_on_stream_finish_t on_finish; +} mozen_tunnel_t; + +// --- API --- + +void mozen_tunnel_init(mozen_tunnel_t *tunnel, mozen_protocol_t *prot, uint16_t mtu, void *user_context); + +void mozen_tunnel_set_callbacks(mozen_tunnel_t *tunnel, + mozen_tunnel_on_stream_start_t on_start, + mozen_tunnel_on_stream_data_t on_data, + mozen_tunnel_on_stream_finish_t on_finish); + +void mozen_tunnel_handle_command(mozen_tunnel_t *tunnel, const uint8_t *data, uint16_t length); + +#endif // __MOZEN_TUNNEL_H diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Config/SEGGER_RTT_Conf.h b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Config/SEGGER_RTT_Conf.h new file mode 100644 index 0000000..11079f8 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Config/SEGGER_RTT_Conf.h @@ -0,0 +1,429 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT_Conf.h +Purpose : Implementation of SEGGER real-time transfer (RTT) which + allows real-time communication on targets which support + debugger memory accesses while the CPU is running. +Revision: $Rev: 24316 $ + +*/ + +#ifndef SEGGER_RTT_CONF_H +#define SEGGER_RTT_CONF_H + +#ifdef __IAR_SYSTEMS_ICC__ + #include +#endif + +/********************************************************************* +* +* Defines, configurable +* +********************************************************************** +*/ + +// +// Take in and set to correct values for Cortex-A systems with CPU cache +// +//#define SEGGER_RTT_CPU_CACHE_LINE_SIZE (32) // Largest cache line size (in bytes) in the current system +//#define SEGGER_RTT_UNCACHED_OFF (0xFB000000) // Address alias where RTT CB and buffers can be accessed uncached +// +// Most common case: +// Up-channel 0: RTT +// Up-channel 1: SystemView +// +#ifndef SEGGER_RTT_MAX_NUM_UP_BUFFERS + #define SEGGER_RTT_MAX_NUM_UP_BUFFERS (3) // Max. number of up-buffers (T->H) available on this target (Default: 3) +#endif +// +// Most common case: +// Down-channel 0: RTT +// Down-channel 1: SystemView +// +#ifndef SEGGER_RTT_MAX_NUM_DOWN_BUFFERS + #define SEGGER_RTT_MAX_NUM_DOWN_BUFFERS (3) // Max. number of down-buffers (H->T) available on this target (Default: 3) +#endif + +#ifndef BUFFER_SIZE_UP + #define BUFFER_SIZE_UP (1024)// (1024) // Size of the buffer for terminal output of target, up to host (Default: 1k) +#endif + +#ifndef BUFFER_SIZE_DOWN + #define BUFFER_SIZE_DOWN (16) // Size of the buffer for terminal input to target from host (Usually keyboard input) (Default: 16) +#endif + +#ifndef SEGGER_RTT_PRINTF_BUFFER_SIZE + #define SEGGER_RTT_PRINTF_BUFFER_SIZE (64u) // Size of buffer for RTT printf to bulk-send chars via RTT (Default: 64) +#endif + +#ifndef SEGGER_RTT_MODE_DEFAULT + #define SEGGER_RTT_MODE_DEFAULT SEGGER_RTT_MODE_NO_BLOCK_SKIP//SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL // Mode for pre-initialized terminal channel (buffer 0) +#endif + +/********************************************************************* +* +* RTT memcpy configuration +* +* memcpy() is good for large amounts of data, +* but the overhead is big for small amounts, which are usually stored via RTT. +* With SEGGER_RTT_MEMCPY_USE_BYTELOOP a simple byte loop can be used instead. +* +* SEGGER_RTT_MEMCPY() can be used to replace standard memcpy() in RTT functions. +* This is may be required with memory access restrictions, +* such as on Cortex-A devices with MMU. +*/ +#ifndef SEGGER_RTT_MEMCPY_USE_BYTELOOP + #define SEGGER_RTT_MEMCPY_USE_BYTELOOP 0 // 0: Use memcpy/SEGGER_RTT_MEMCPY, 1: Use a simple byte-loop +#endif +// +// Example definition of SEGGER_RTT_MEMCPY to external memcpy with GCC toolchains and Cortex-A targets +// +//#if ((defined __SES_ARM) || (defined __CROSSWORKS_ARM) || (defined __GNUC__)) && (defined (__ARM_ARCH_7A__)) +// #define SEGGER_RTT_MEMCPY(pDest, pSrc, NumBytes) SEGGER_memcpy((pDest), (pSrc), (NumBytes)) +//#endif + +// +// Target is not allowed to perform other RTT operations while string still has not been stored completely. +// Otherwise we would probably end up with a mixed string in the buffer. +// If using RTT from within interrupts, multiple tasks or multi processors, define the SEGGER_RTT_LOCK() and SEGGER_RTT_UNLOCK() function here. +// +// SEGGER_RTT_MAX_INTERRUPT_PRIORITY can be used in the sample lock routines on Cortex-M3/4. +// Make sure to mask all interrupts which can send RTT data, i.e. generate SystemView events, or cause task switches. +// When high-priority interrupts must not be masked while sending RTT data, SEGGER_RTT_MAX_INTERRUPT_PRIORITY needs to be adjusted accordingly. +// (Higher priority = lower priority number) +// Default value for embOS: 128u +// Default configuration in FreeRTOS: configMAX_SYSCALL_INTERRUPT_PRIORITY: ( configLIBRARY_MAX_SYSCALL_INTERRUPT_PRIORITY << (8 - configPRIO_BITS) ) +// In case of doubt mask all interrupts: 1 << (8 - BASEPRI_PRIO_BITS) i.e. 1 << 5 when 3 bits are implemented in NVIC +// or define SEGGER_RTT_LOCK() to completely disable interrupts. +// +#ifndef SEGGER_RTT_MAX_INTERRUPT_PRIORITY + #define SEGGER_RTT_MAX_INTERRUPT_PRIORITY (0x20) // Interrupt priority to lock on SEGGER_RTT_LOCK on Cortex-M3/4 (Default: 0x20) +#endif + +/********************************************************************* +* +* RTT lock configuration for SEGGER Embedded Studio, +* Rowley CrossStudio and GCC +*/ +#if ((defined(__SES_ARM) || defined(__SES_RISCV) || defined(__CROSSWORKS_ARM) || defined(__GNUC__) || defined(__clang__)) && !defined (__CC_ARM) && !defined(WIN32)) + #if (defined(__ARM_ARCH_6M__) || defined(__ARM_ARCH_8M_BASE__)) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + __asm volatile ("mrs %0, primask \n\t" \ + "movs r1, #1 \n\t" \ + "msr primask, r1 \n\t" \ + : "=r" (_SEGGER_RTT__LockState) \ + : \ + : "r1", "cc" \ + ); + + #define SEGGER_RTT_UNLOCK() __asm volatile ("msr primask, %0 \n\t" \ + : \ + : "r" (_SEGGER_RTT__LockState) \ + : \ + ); \ + } + #elif (defined(__ARM_ARCH_7M__) || defined(__ARM_ARCH_7EM__) || defined(__ARM_ARCH_8M_MAIN__)) + #ifndef SEGGER_RTT_MAX_INTERRUPT_PRIORITY + #define SEGGER_RTT_MAX_INTERRUPT_PRIORITY (0x20) + #endif + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + __asm volatile ("mrs %0, basepri \n\t" \ + "mov r1, %1 \n\t" \ + "msr basepri, r1 \n\t" \ + : "=r" (_SEGGER_RTT__LockState) \ + : "i"(SEGGER_RTT_MAX_INTERRUPT_PRIORITY) \ + : "r1", "cc" \ + ); + + #define SEGGER_RTT_UNLOCK() __asm volatile ("msr basepri, %0 \n\t" \ + : \ + : "r" (_SEGGER_RTT__LockState) \ + : \ + ); \ + } + + #elif (defined(__ARM_ARCH_7A__) || defined(__ARM_ARCH_7R__)) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + __asm volatile ("mrs r1, CPSR \n\t" \ + "mov %0, r1 \n\t" \ + "orr r1, r1, #0xC0 \n\t" \ + "msr CPSR_c, r1 \n\t" \ + : "=r" (_SEGGER_RTT__LockState) \ + : \ + : "r1", "cc" \ + ); + + #define SEGGER_RTT_UNLOCK() __asm volatile ("mov r0, %0 \n\t" \ + "mrs r1, CPSR \n\t" \ + "bic r1, r1, #0xC0 \n\t" \ + "and r0, r0, #0xC0 \n\t" \ + "orr r1, r1, r0 \n\t" \ + "msr CPSR_c, r1 \n\t" \ + : \ + : "r" (_SEGGER_RTT__LockState) \ + : "r0", "r1", "cc" \ + ); \ + } + #elif defined(__riscv) || defined(__riscv_xlen) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + __asm volatile ("csrr %0, mstatus \n\t" \ + "csrci mstatus, 8 \n\t" \ + "andi %0, %0, 8 \n\t" \ + : "=r" (_SEGGER_RTT__LockState) \ + : \ + : \ + ); + + #define SEGGER_RTT_UNLOCK() __asm volatile ("csrr a1, mstatus \n\t" \ + "or %0, %0, a1 \n\t" \ + "csrs mstatus, %0 \n\t" \ + : \ + : "r" (_SEGGER_RTT__LockState) \ + : "a1" \ + ); \ + } + #else + #define SEGGER_RTT_LOCK() + #define SEGGER_RTT_UNLOCK() + #endif +#endif + +/********************************************************************* +* +* RTT lock configuration for IAR EWARM +*/ +#ifdef __ICCARM__ + #if (defined (__ARM6M__) && (__CORE__ == __ARM6M__)) || \ + (defined (__ARM8M_BASELINE__) && (__CORE__ == __ARM8M_BASELINE__)) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = __get_PRIMASK(); \ + __set_PRIMASK(1); + + #define SEGGER_RTT_UNLOCK() __set_PRIMASK(_SEGGER_RTT__LockState); \ + } + #elif (defined (__ARM7EM__) && (__CORE__ == __ARM7EM__)) || \ + (defined (__ARM7M__) && (__CORE__ == __ARM7M__)) || \ + (defined (__ARM8M_MAINLINE__) && (__CORE__ == __ARM8M_MAINLINE__)) || \ + (defined (__ARM8M_MAINLINE__) && (__CORE__ == __ARM8M_MAINLINE__)) + #ifndef SEGGER_RTT_MAX_INTERRUPT_PRIORITY + #define SEGGER_RTT_MAX_INTERRUPT_PRIORITY (0x20) + #endif + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = __get_BASEPRI(); \ + __set_BASEPRI(SEGGER_RTT_MAX_INTERRUPT_PRIORITY); + + #define SEGGER_RTT_UNLOCK() __set_BASEPRI(_SEGGER_RTT__LockState); \ + } + #elif (defined (__ARM7A__) && (__CORE__ == __ARM7A__)) || \ + (defined (__ARM7R__) && (__CORE__ == __ARM7R__)) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + __asm volatile ("mrs r1, CPSR \n\t" \ + "mov %0, r1 \n\t" \ + "orr r1, r1, #0xC0 \n\t" \ + "msr CPSR_c, r1 \n\t" \ + : "=r" (_SEGGER_RTT__LockState) \ + : \ + : "r1", "cc" \ + ); + + #define SEGGER_RTT_UNLOCK() __asm volatile ("mov r0, %0 \n\t" \ + "mrs r1, CPSR \n\t" \ + "bic r1, r1, #0xC0 \n\t" \ + "and r0, r0, #0xC0 \n\t" \ + "orr r1, r1, r0 \n\t" \ + "msr CPSR_c, r1 \n\t" \ + : \ + : "r" (_SEGGER_RTT__LockState) \ + : "r0", "r1", "cc" \ + ); \ + } + #endif +#endif + +/********************************************************************* +* +* RTT lock configuration for IAR RX +*/ +#ifdef __ICCRX__ + #define SEGGER_RTT_LOCK() { \ + unsigned long _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = __get_interrupt_state(); \ + __disable_interrupt(); + + #define SEGGER_RTT_UNLOCK() __set_interrupt_state(_SEGGER_RTT__LockState); \ + } +#endif + +/********************************************************************* +* +* RTT lock configuration for IAR RL78 +*/ +#ifdef __ICCRL78__ + #define SEGGER_RTT_LOCK() { \ + __istate_t _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = __get_interrupt_state(); \ + __disable_interrupt(); + + #define SEGGER_RTT_UNLOCK() __set_interrupt_state(_SEGGER_RTT__LockState); \ + } +#endif + +/********************************************************************* +* +* RTT lock configuration for KEIL ARM +*/ +#ifdef __CC_ARM + #if (defined __TARGET_ARCH_6S_M) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + register unsigned char _SEGGER_RTT__PRIMASK __asm( "primask"); \ + _SEGGER_RTT__LockState = _SEGGER_RTT__PRIMASK; \ + _SEGGER_RTT__PRIMASK = 1u; \ + __schedule_barrier(); + + #define SEGGER_RTT_UNLOCK() _SEGGER_RTT__PRIMASK = _SEGGER_RTT__LockState; \ + __schedule_barrier(); \ + } + #elif (defined(__TARGET_ARCH_7_M) || defined(__TARGET_ARCH_7E_M)) + #ifndef SEGGER_RTT_MAX_INTERRUPT_PRIORITY + #define SEGGER_RTT_MAX_INTERRUPT_PRIORITY (0x20) + #endif + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + register unsigned char BASEPRI __asm( "basepri"); \ + _SEGGER_RTT__LockState = BASEPRI; \ + BASEPRI = SEGGER_RTT_MAX_INTERRUPT_PRIORITY; \ + __schedule_barrier(); + + #define SEGGER_RTT_UNLOCK() BASEPRI = _SEGGER_RTT__LockState; \ + __schedule_barrier(); \ + } + #endif +#endif + +/********************************************************************* +* +* RTT lock configuration for TI ARM +*/ +#ifdef __TI_ARM__ + #if defined (__TI_ARM_V6M0__) + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = __get_PRIMASK(); \ + __set_PRIMASK(1); + + #define SEGGER_RTT_UNLOCK() __set_PRIMASK(_SEGGER_RTT__LockState); \ + } + #elif (defined (__TI_ARM_V7M3__) || defined (__TI_ARM_V7M4__)) + #ifndef SEGGER_RTT_MAX_INTERRUPT_PRIORITY + #define SEGGER_RTT_MAX_INTERRUPT_PRIORITY (0x20) + #endif + #define SEGGER_RTT_LOCK() { \ + unsigned int _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = _set_interrupt_priority(SEGGER_RTT_MAX_INTERRUPT_PRIORITY); + + #define SEGGER_RTT_UNLOCK() _set_interrupt_priority(_SEGGER_RTT__LockState); \ + } + #endif +#endif + +/********************************************************************* +* +* RTT lock configuration for CCRX +*/ +#ifdef __RX + #include + #define SEGGER_RTT_LOCK() { \ + unsigned long _SEGGER_RTT__LockState; \ + _SEGGER_RTT__LockState = get_psw() & 0x010000; \ + clrpsw_i(); + + #define SEGGER_RTT_UNLOCK() set_psw(get_psw() | _SEGGER_RTT__LockState); \ + } +#endif + +/********************************************************************* +* +* RTT lock configuration for embOS Simulation on Windows +* (Can also be used for generic RTT locking with embOS) +*/ +#if defined(WIN32) || defined(SEGGER_RTT_LOCK_EMBOS) + +void OS_SIM_EnterCriticalSection(void); +void OS_SIM_LeaveCriticalSection(void); + +#define SEGGER_RTT_LOCK() { \ + OS_SIM_EnterCriticalSection(); + +#define SEGGER_RTT_UNLOCK() OS_SIM_LeaveCriticalSection(); \ + } +#endif + +/********************************************************************* +* +* RTT lock configuration fallback +*/ +#ifndef SEGGER_RTT_LOCK + #define SEGGER_RTT_LOCK() // Lock RTT (nestable) (i.e. disable interrupts) +#endif + +#ifndef SEGGER_RTT_UNLOCK + #define SEGGER_RTT_UNLOCK() // Unlock RTT (nestable) (i.e. enable previous interrupt lock state) +#endif + +#endif +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_InputEchoApp.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_InputEchoApp.c new file mode 100644 index 0000000..0343a12 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_InputEchoApp.c @@ -0,0 +1,80 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +--------- END-OF-HEADER -------------------------------------------- +File : Main_RTT_MenuApp.c +Purpose : Sample application to demonstrate RTT bi-directional functionality +*/ + +#define MAIN_C + +#include + +#include "SEGGER_RTT.h" + +volatile int _Cnt; +volatile int _Delay; + +static char r; + +/********************************************************************* +* +* main +*/ +void main(void) { + + SEGGER_RTT_WriteString(0, "SEGGER Real-Time-Terminal Sample\r\n"); + SEGGER_RTT_ConfigUpBuffer(0, NULL, NULL, 0, SEGGER_RTT_MODE_NO_BLOCK_SKIP); + do { + r = SEGGER_RTT_WaitKey(); + SEGGER_RTT_Write(0, &r, 1); + r++; + } while (1); +} + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_MenuApp.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_MenuApp.c new file mode 100644 index 0000000..9b316b3 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_MenuApp.c @@ -0,0 +1,108 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +--------- END-OF-HEADER -------------------------------------------- +File : Main_RTT_MenuApp.c +Purpose : Sample application to demonstrate RTT bi-directional functionality +*/ + +#define MAIN_C + +#include + +#include "SEGGER_RTT.h" + +volatile int _Cnt; +volatile int _Delay; + +/********************************************************************* +* +* main +*/ +void main(void) { + int r; + int CancelOp; + + do { + _Cnt = 0; + + SEGGER_RTT_WriteString(0, "SEGGER Real-Time-Terminal Sample\r\n"); + SEGGER_RTT_WriteString(0, "Press <1> to continue in blocking mode (Application waits if necessary, no data lost)\r\n"); + SEGGER_RTT_WriteString(0, "Press <2> to continue in non-blocking mode (Application does not wait, data lost if fifo full)\r\n"); + do { + r = SEGGER_RTT_WaitKey(); + } while ((r != '1') && (r != '2')); + if (r == '1') { + SEGGER_RTT_WriteString(0, "\r\nSelected <1>. Configuring RTT and starting...\r\n"); + SEGGER_RTT_ConfigUpBuffer(0, NULL, NULL, 0, SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL); + } else { + SEGGER_RTT_WriteString(0, "\r\nSelected <2>. Configuring RTT and starting...\r\n"); + SEGGER_RTT_ConfigUpBuffer(0, NULL, NULL, 0, SEGGER_RTT_MODE_NO_BLOCK_SKIP); + } + CancelOp = 0; + do { + //for (_Delay = 0; _Delay < 10000; _Delay++); + SEGGER_RTT_printf(0, "Count: %d. Press to get back to menu.\r\n", _Cnt++); + r = SEGGER_RTT_HasKey(); + if (r) { + CancelOp = (SEGGER_RTT_GetKey() == ' ') ? 1 : 0; + } + // + // Check if user selected to cancel the current operation + // + if (CancelOp) { + SEGGER_RTT_WriteString(0, "Operation cancelled, going back to menu...\r\n"); + break; + } + } while (1); + SEGGER_RTT_GetKey(); + SEGGER_RTT_WriteString(0, "\r\n"); + } while (1); +} + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_PrintfTest.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_PrintfTest.c new file mode 100644 index 0000000..ca1ef3b --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_PrintfTest.c @@ -0,0 +1,155 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +--------- END-OF-HEADER -------------------------------------------- +File : Main_RTT_MenuApp.c +Purpose : Sample application to demonstrate RTT bi-directional functionality +*/ + +#define MAIN_C + +#include + +#include "SEGGER_RTT.h" + +volatile int _Cnt; + +/********************************************************************* +* +* main +*/ +void main(void) { + + SEGGER_RTT_ConfigUpBuffer(0, NULL, NULL, 0, SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL); + + SEGGER_RTT_WriteString(0, "SEGGER Real-Time-Terminal Sample\r\n\r\n"); + SEGGER_RTT_WriteString(0, "###### Testing SEGGER_printf() ######\r\n"); + + SEGGER_RTT_printf(0, "printf Test: %%c, 'S' : %c.\r\n", 'S'); + SEGGER_RTT_printf(0, "printf Test: %%5c, 'E' : %5c.\r\n", 'E'); + SEGGER_RTT_printf(0, "printf Test: %%-5c, 'G' : %-5c.\r\n", 'G'); + SEGGER_RTT_printf(0, "printf Test: %%5.3c, 'G' : %-5c.\r\n", 'G'); + SEGGER_RTT_printf(0, "printf Test: %%.3c, 'E' : %-5c.\r\n", 'E'); + SEGGER_RTT_printf(0, "printf Test: %%c, 'R' : %c.\r\n", 'R'); + + SEGGER_RTT_printf(0, "printf Test: %%s, \"RTT\" : %s.\r\n", "RTT"); + SEGGER_RTT_printf(0, "printf Test: %%s, \"RTT\\r\\nRocks.\" : %s.\r\n", "RTT\r\nRocks."); + + SEGGER_RTT_printf(0, "printf Test: %%u, 12345 : %u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%+u, 12345 : %+u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%.3u, 12345 : %.3u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%.6u, 12345 : %.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%6.3u, 12345 : %6.3u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%8.6u, 12345 : %8.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%08u, 12345 : %08u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%08.6u, 12345 : %08.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%0u, 12345 : %0u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-.6u, 12345 : %-.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-6.3u, 12345 : %-6.3u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-8.6u, 12345 : %-8.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-08u, 12345 : %-08u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-08.6u, 12345 : %-08.6u.\r\n", 12345); + SEGGER_RTT_printf(0, "printf Test: %%-0u, 12345 : %-0u.\r\n", 12345); + + SEGGER_RTT_printf(0, "printf Test: %%u, -12345 : %u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%+u, -12345 : %+u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%.3u, -12345 : %.3u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%.6u, -12345 : %.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%6.3u, -12345 : %6.3u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%8.6u, -12345 : %8.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%08u, -12345 : %08u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%08.6u, -12345 : %08.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%0u, -12345 : %0u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-.6u, -12345 : %-.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-6.3u, -12345 : %-6.3u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-8.6u, -12345 : %-8.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-08u, -12345 : %-08u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-08.6u, -12345 : %-08.6u.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-0u, -12345 : %-0u.\r\n", -12345); + + SEGGER_RTT_printf(0, "printf Test: %%d, -12345 : %d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%+d, -12345 : %+d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%.3d, -12345 : %.3d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%.6d, -12345 : %.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%6.3d, -12345 : %6.3d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%8.6d, -12345 : %8.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%08d, -12345 : %08d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%08.6d, -12345 : %08.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%0d, -12345 : %0d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-.6d, -12345 : %-.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-6.3d, -12345 : %-6.3d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-8.6d, -12345 : %-8.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-08d, -12345 : %-08d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-08.6d, -12345 : %-08.6d.\r\n", -12345); + SEGGER_RTT_printf(0, "printf Test: %%-0d, -12345 : %-0d.\r\n", -12345); + + SEGGER_RTT_printf(0, "printf Test: %%x, 0x1234ABC : %x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%+x, 0x1234ABC : %+x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%.3x, 0x1234ABC : %.3x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%.6x, 0x1234ABC : %.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%6.3x, 0x1234ABC : %6.3x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%8.6x, 0x1234ABC : %8.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%08x, 0x1234ABC : %08x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%08.6x, 0x1234ABC : %08.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%0x, 0x1234ABC : %0x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-.6x, 0x1234ABC : %-.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-6.3x, 0x1234ABC : %-6.3x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-8.6x, 0x1234ABC : %-8.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-08x, 0x1234ABC : %-08x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-08.6x, 0x1234ABC : %-08.6x.\r\n", 0x1234ABC); + SEGGER_RTT_printf(0, "printf Test: %%-0x, 0x1234ABC : %-0x.\r\n", 0x1234ABC); + + SEGGER_RTT_printf(0, "printf Test: %%p, &_Cnt : %p.\r\n", &_Cnt); + + SEGGER_RTT_WriteString(0, "###### SEGGER_printf() Tests done. ######\r\n"); + do { + _Cnt++; + } while (1); +} + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_SpeedTestApp.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_SpeedTestApp.c new file mode 100644 index 0000000..fa702a1 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Examples/Main_RTT_SpeedTestApp.c @@ -0,0 +1,106 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +--------- END-OF-HEADER -------------------------------------------- +File : Main_RTT_SpeedTestApp.c +Purpose : Sample program for measuring RTT performance. +*/ + +#include "RTOS.h" +#include "BSP.h" + +#include "SEGGER_RTT.h" +#include + +OS_STACKPTR int StackHP[128], StackLP[128]; /* Task stacks */ +OS_TASK TCBHP, TCBLP; /* Task-control-blocks */ + +static void HPTask(void) { + while (1) { + // + // Measure time needed for RTT output + // Perform dummy write with 0 characters, so we know the overhead of toggling LEDs and RTT in general + // +// Set BP here. Then start sampling on scope + BSP_ClrLED(0); + SEGGER_RTT_Write(0, 0, 0); + BSP_SetLED(0); + BSP_ClrLED(0); + SEGGER_RTT_Write(0, "01234567890123456789012345678901234567890123456789012345678901234567890123456789\r\n", 82); + BSP_SetLED(0); +// Set BP here. Then stop sampling on scope + OS_Delay(200); + } +} + +static void LPTask(void) { + while (1) { + BSP_ToggleLED(1); + OS_Delay (500); + } +} + +/********************************************************************* +* +* main +* +*********************************************************************/ + +int main(void) { + OS_IncDI(); /* Initially disable interrupts */ + OS_InitKern(); /* Initialize OS */ + OS_InitHW(); /* Initialize Hardware for OS */ + BSP_Init(); /* Initialize LED ports */ + BSP_SetLED(0); + /* You need to create at least one task before calling OS_Start() */ + OS_CREATETASK(&TCBHP, "HP Task", HPTask, 100, StackHP); + OS_CREATETASK(&TCBLP, "LP Task", LPTask, 50, StackLP); + OS_Start(); /* Start multitasking */ + return 0; +} + diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/LICENSE.md b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/LICENSE.md new file mode 100644 index 0000000..14881c2 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/LICENSE.md @@ -0,0 +1,36 @@ + + SEGGER Microcontroller GmbH + The Embedded Experts + + (c) 1995 - 2021 SEGGER Microcontroller GmbH + www.segger.com Support: support@segger.com + + SEGGER RTT Real Time Transfer for embedded targets + + + All rights reserved. + + SEGGER strongly recommends to not make any changes + to or modify the source code of this software in order to stay + compatible with the RTT protocol and J-Link. + + Redistribution and use in source and binary forms, with or + without modification, are permitted provided that the following + condition is met: + + - Redistributions of source code must retain the above copyright + notice, this condition and the following disclaimer. + + THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND + CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, + INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF + MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE + DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR + ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT + OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; + OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF + LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE + USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH + DAMAGE. diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/README.md b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/README.md new file mode 100644 index 0000000..0b40797 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/README.md @@ -0,0 +1,24 @@ +RTT +=== + +SEGGER RTT Sources + +https://www.segger.com/products/debug-probes/j-link/technology/about-real-time-transfer +https://wiki.segger.com/RTT + +## Included files + + * `RTT/` + * `SEGGER_RTT.c` - Main module for RTT. + * `SEGGER_RTT.h` - Main header for RTT. + * `SEGGER_RTT_ASM_ARMv7M.S` - Assembly-optimized implementation of RTT functions for ARMv7M processors. + * `SEGGER_RTT_Printf.c` - Simple implementation of printf (`SEGGER_RTT_Printf()`) to write formatted strings via RTT. + * `Syscalls/` + * `SEGGER_RTT_Syscalls_*.c` - Low-level syscalls to retarget `printf()` to RTT with different toolchains. + * `Config/` + * `SEGGER_RTT_Conf.h` - RTT configuration file. + * `Examples/` + * `Main_RTT_InputEchoApp.c` - Example application which echoes input on Channel 0. + * `Main_RTT_MenuApp.c` - Example application to demonstrate RTT bi-directional functionality. + * `Main_RTT_PrintfTest.c` - Example application to test RTT's simple printf implementation. + * `Main_RTT_SpeedTestApp.c` - Example application to measure RTT performance. (Requires embOS) diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.c new file mode 100644 index 0000000..7b82c2b --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.c @@ -0,0 +1,2103 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT.c +Purpose : Implementation of SEGGER real-time transfer (RTT) which + allows real-time communication on targets which support + debugger memory accesses while the CPU is running. +Revision: $Rev: 26642 $ + +Additional information: + Type "int" is assumed to be 32-bits in size + H->T Host to target communication + T->H Target to host communication + + RTT channel 0 is always present and reserved for Terminal usage. + Name is fixed to "Terminal" + + Effective buffer size: SizeOfBuffer - 1 + + WrOff == RdOff: Buffer is empty + WrOff == (RdOff - 1): Buffer is full + WrOff > RdOff: Free space includes wrap-around + WrOff < RdOff: Used space includes wrap-around + (WrOff == (SizeOfBuffer - 1)) && (RdOff == 0): + Buffer full and wrap-around after next byte + + +---------------------------------------------------------------------- +*/ + +#include "SEGGER_RTT.h" + +#include // for memcpy + +/********************************************************************* +* +* Configuration, default values +* +********************************************************************** +*/ + +#if SEGGER_RTT_CPU_CACHE_LINE_SIZE + #ifdef SEGGER_RTT_CB_ALIGN + #error "Custom SEGGER_RTT_CB_ALIGN() is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif + #ifdef SEGGER_RTT_BUFFER_ALIGN + #error "Custom SEGGER_RTT_BUFFER_ALIGN() is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif + #ifdef SEGGER_RTT_PUT_CB_SECTION + #error "Custom SEGGER_RTT_PUT_CB_SECTION() is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif + #ifdef SEGGER_RTT_PUT_BUFFER_SECTION + #error "Custom SEGGER_RTT_PUT_BUFFER_SECTION() is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif + #ifdef SEGGER_RTT_BUFFER_ALIGNMENT + #error "Custom SEGGER_RTT_BUFFER_ALIGNMENT is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif + #ifdef SEGGER_RTT_ALIGNMENT + #error "Custom SEGGER_RTT_ALIGNMENT is not supported for SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif +#endif + +#ifndef BUFFER_SIZE_UP + #define BUFFER_SIZE_UP 1024 // Size of the buffer for terminal output of target, up to host +#endif + +#ifndef BUFFER_SIZE_DOWN + #define BUFFER_SIZE_DOWN 16 // Size of the buffer for terminal input to target from host (Usually keyboard input) +#endif + +#ifndef SEGGER_RTT_MAX_NUM_UP_BUFFERS + #define SEGGER_RTT_MAX_NUM_UP_BUFFERS 2 // Number of up-buffers (T->H) available on this target +#endif + +#ifndef SEGGER_RTT_MAX_NUM_DOWN_BUFFERS + #define SEGGER_RTT_MAX_NUM_DOWN_BUFFERS 2 // Number of down-buffers (H->T) available on this target +#endif + +#ifndef SEGGER_RTT_BUFFER_SECTION + #if defined(SEGGER_RTT_SECTION) + #define SEGGER_RTT_BUFFER_SECTION SEGGER_RTT_SECTION + #endif +#endif + +#ifndef SEGGER_RTT_ALIGNMENT + #define SEGGER_RTT_ALIGNMENT SEGGER_RTT_CPU_CACHE_LINE_SIZE +#endif + +#ifndef SEGGER_RTT_BUFFER_ALIGNMENT + #define SEGGER_RTT_BUFFER_ALIGNMENT SEGGER_RTT_CPU_CACHE_LINE_SIZE +#endif + +#ifndef SEGGER_RTT_MODE_DEFAULT + #define SEGGER_RTT_MODE_DEFAULT SEGGER_RTT_MODE_NO_BLOCK_SKIP +#endif + +#ifndef SEGGER_RTT_LOCK + #define SEGGER_RTT_LOCK() +#endif + +#ifndef SEGGER_RTT_UNLOCK + #define SEGGER_RTT_UNLOCK() +#endif + +#ifndef STRLEN + #define STRLEN(a) strlen((a)) +#endif + +#ifndef STRCPY + #define STRCPY(pDest, pSrc) strcpy((pDest), (pSrc)) +#endif + +#ifndef SEGGER_RTT_MEMCPY_USE_BYTELOOP + #define SEGGER_RTT_MEMCPY_USE_BYTELOOP 0 +#endif + +#ifndef SEGGER_RTT_MEMCPY + #ifdef MEMCPY + #define SEGGER_RTT_MEMCPY(pDest, pSrc, NumBytes) MEMCPY((pDest), (pSrc), (NumBytes)) + #else + #define SEGGER_RTT_MEMCPY(pDest, pSrc, NumBytes) memcpy((pDest), (pSrc), (NumBytes)) + #endif +#endif + +#ifndef MIN + #define MIN(a, b) (((a) < (b)) ? (a) : (b)) +#endif + +#ifndef MAX + #define MAX(a, b) (((a) > (b)) ? (a) : (b)) +#endif +// +// For some environments, NULL may not be defined until certain headers are included +// +#ifndef NULL + #define NULL 0 +#endif + +/********************************************************************* +* +* Defines, fixed +* +********************************************************************** +*/ +#if (defined __ICCARM__) || (defined __ICCRX__) + #define RTT_PRAGMA(P) _Pragma(#P) +#endif + +#if SEGGER_RTT_ALIGNMENT || SEGGER_RTT_BUFFER_ALIGNMENT + #if ((defined __GNUC__) || (defined __clang__)) + #define SEGGER_RTT_ALIGN(Var, Alignment) Var __attribute__ ((aligned (Alignment))) + #elif (defined __ICCARM__) || (defined __ICCRX__) + #define PRAGMA(A) _Pragma(#A) +#define SEGGER_RTT_ALIGN(Var, Alignment) RTT_PRAGMA(data_alignment=Alignment) \ + Var + #elif (defined __CC_ARM) + #define SEGGER_RTT_ALIGN(Var, Alignment) Var __attribute__ ((aligned (Alignment))) + #else + #error "Alignment not supported for this compiler." + #endif +#else + #define SEGGER_RTT_ALIGN(Var, Alignment) Var +#endif + +#if defined(SEGGER_RTT_SECTION) || defined (SEGGER_RTT_BUFFER_SECTION) + #if ((defined __GNUC__) || (defined __clang__)) + #define SEGGER_RTT_PUT_SECTION(Var, Section) __attribute__ ((section (Section))) Var + #elif (defined __ICCARM__) || (defined __ICCRX__) +#define SEGGER_RTT_PUT_SECTION(Var, Section) RTT_PRAGMA(location=Section) \ + Var + #elif (defined __CC_ARM) + #define SEGGER_RTT_PUT_SECTION(Var, Section) __attribute__ ((section (Section), zero_init)) Var + #else + #error "Section placement not supported for this compiler." + #endif +#else + #define SEGGER_RTT_PUT_SECTION(Var, Section) Var +#endif + +#if SEGGER_RTT_ALIGNMENT + #define SEGGER_RTT_CB_ALIGN(Var) SEGGER_RTT_ALIGN(Var, SEGGER_RTT_ALIGNMENT) +#else + #define SEGGER_RTT_CB_ALIGN(Var) Var +#endif + +#if SEGGER_RTT_BUFFER_ALIGNMENT + #define SEGGER_RTT_BUFFER_ALIGN(Var) SEGGER_RTT_ALIGN(Var, SEGGER_RTT_BUFFER_ALIGNMENT) +#else + #define SEGGER_RTT_BUFFER_ALIGN(Var) Var +#endif + + +#if defined(SEGGER_RTT_SECTION) + #define SEGGER_RTT_PUT_CB_SECTION(Var) SEGGER_RTT_PUT_SECTION(Var, SEGGER_RTT_SECTION) +#else + #define SEGGER_RTT_PUT_CB_SECTION(Var) Var +#endif + +#if defined(SEGGER_RTT_BUFFER_SECTION) + #define SEGGER_RTT_PUT_BUFFER_SECTION(Var) SEGGER_RTT_PUT_SECTION(Var, SEGGER_RTT_BUFFER_SECTION) +#else + #define SEGGER_RTT_PUT_BUFFER_SECTION(Var) Var +#endif + +/********************************************************************* +* +* Static const data +* +********************************************************************** +*/ + +static unsigned char _aTerminalId[16] = { '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F' }; + +/********************************************************************* +* +* Static data +* +********************************************************************** +*/ + +// +// RTT Control Block and allocate buffers for channel 0 +// +#if SEGGER_RTT_CPU_CACHE_LINE_SIZE + #if ((defined __GNUC__) || (defined __clang__)) + SEGGER_RTT_CB _SEGGER_RTT __attribute__ ((aligned (SEGGER_RTT_CPU_CACHE_LINE_SIZE))); + static char _acUpBuffer [SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(BUFFER_SIZE_UP)] __attribute__ ((aligned (SEGGER_RTT_CPU_CACHE_LINE_SIZE))); + static char _acDownBuffer[SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(BUFFER_SIZE_DOWN)] __attribute__ ((aligned (SEGGER_RTT_CPU_CACHE_LINE_SIZE))); + #elif (defined __ICCARM__) + #pragma data_alignment=SEGGER_RTT_CPU_CACHE_LINE_SIZE + SEGGER_RTT_CB _SEGGER_RTT; + #pragma data_alignment=SEGGER_RTT_CPU_CACHE_LINE_SIZE + static char _acUpBuffer [SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(BUFFER_SIZE_UP)]; + #pragma data_alignment=SEGGER_RTT_CPU_CACHE_LINE_SIZE + static char _acDownBuffer[SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(BUFFER_SIZE_DOWN)]; + #else + #error "Don't know how to place _SEGGER_RTT, _acUpBuffer, _acDownBuffer cache-line aligned" + #endif +#else + SEGGER_RTT_PUT_CB_SECTION(SEGGER_RTT_CB_ALIGN(SEGGER_RTT_CB _SEGGER_RTT)); + SEGGER_RTT_PUT_BUFFER_SECTION(SEGGER_RTT_BUFFER_ALIGN(static char _acUpBuffer [BUFFER_SIZE_UP])); + SEGGER_RTT_PUT_BUFFER_SECTION(SEGGER_RTT_BUFFER_ALIGN(static char _acDownBuffer[BUFFER_SIZE_DOWN])); +#endif + +static unsigned char _ActiveTerminal; + +/********************************************************************* +* +* Static functions +* +********************************************************************** +*/ + +/********************************************************************* +* +* _DoInit() +* +* Function description +* Initializes the control block an buffers. +* May only be called via INIT() to avoid overriding settings. +* +*/ +#define INIT() { \ + volatile SEGGER_RTT_CB* pRTTCBInit; \ + pRTTCBInit = (volatile SEGGER_RTT_CB*)((char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); \ + do { \ + if (pRTTCBInit->acID[0] == '\0') { \ + _DoInit(); \ + } \ + } while (0); \ + } + +static void _DoInit(void) { + volatile SEGGER_RTT_CB* p; // Volatile to make sure that compiler cannot change the order of accesses to the control block + static const char _aInitStr[] = "\0\0\0\0\0\0TTR REGGES"; // Init complete ID string to make sure that things also work if RTT is linked to a no-init memory area + unsigned i; + // + // Initialize control block + // + p = (volatile SEGGER_RTT_CB*)((char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access control block uncached so that nothing in the cache ever becomes dirty and all changes are visible in HW directly + memset((SEGGER_RTT_CB*)p, 0, sizeof(_SEGGER_RTT)); // Make sure that the RTT CB is always zero initialized. + p->MaxNumUpBuffers = SEGGER_RTT_MAX_NUM_UP_BUFFERS; + p->MaxNumDownBuffers = SEGGER_RTT_MAX_NUM_DOWN_BUFFERS; + // + // Initialize up buffer 0 + // + p->aUp[0].sName = "Terminal"; + p->aUp[0].pBuffer = _acUpBuffer; + p->aUp[0].SizeOfBuffer = BUFFER_SIZE_UP; + p->aUp[0].RdOff = 0u; + p->aUp[0].WrOff = 0u; + p->aUp[0].Flags = SEGGER_RTT_MODE_DEFAULT; + // + // Initialize down buffer 0 + // + p->aDown[0].sName = "Terminal"; + p->aDown[0].pBuffer = _acDownBuffer; + p->aDown[0].SizeOfBuffer = BUFFER_SIZE_DOWN; + p->aDown[0].RdOff = 0u; + p->aDown[0].WrOff = 0u; + p->aDown[0].Flags = SEGGER_RTT_MODE_DEFAULT; + // + // Finish initialization of the control block. + // Copy Id string backwards to make sure that "SEGGER RTT" is not found in initializer memory (usually flash), + // as this would cause J-Link to "find" the control block at a wrong address. + // + RTT__DMB(); // Force order of memory accesses for cores that may perform out-of-order memory accesses + for (i = 0; i < sizeof(_aInitStr) - 1; ++i) { + p->acID[i] = _aInitStr[sizeof(_aInitStr) - 2 - i]; // Skip terminating \0 at the end of the array + } + RTT__DMB(); // Force order of memory accesses for cores that may perform out-of-order memory accesses +} + +/********************************************************************* +* +* _WriteBlocking() +* +* Function description +* Stores a specified number of characters in SEGGER RTT ring buffer +* and updates the associated write pointer which is periodically +* read by the host. +* The caller is responsible for managing the write chunk sizes as +* _WriteBlocking() will block until all data has been posted successfully. +* +* Parameters +* pRing Ring buffer to post to. +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Return value +* >= 0 - Number of bytes written into buffer. +*/ +static unsigned _WriteBlocking(SEGGER_RTT_BUFFER_UP* pRing, const char* pBuffer, unsigned NumBytes) { + unsigned NumBytesToWrite; + unsigned NumBytesWritten; + unsigned RdOff; + unsigned WrOff; + volatile char* pDst; + // + // Write data to buffer and handle wrap-around if necessary + // + NumBytesWritten = 0u; + WrOff = pRing->WrOff; + do { + RdOff = pRing->RdOff; // May be changed by host (debug probe) in the meantime + if (RdOff > WrOff) { + NumBytesToWrite = RdOff - WrOff - 1u; + } else { + NumBytesToWrite = pRing->SizeOfBuffer - (WrOff - RdOff + 1u); + } + NumBytesToWrite = MIN(NumBytesToWrite, (pRing->SizeOfBuffer - WrOff)); // Number of bytes that can be written until buffer wrap-around + NumBytesToWrite = MIN(NumBytesToWrite, NumBytes); + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytesWritten += NumBytesToWrite; + NumBytes -= NumBytesToWrite; + WrOff += NumBytesToWrite; + while (NumBytesToWrite--) { + *pDst++ = *pBuffer++; + }; +#else + SEGGER_RTT_MEMCPY((void*)pDst, pBuffer, NumBytesToWrite); + NumBytesWritten += NumBytesToWrite; + pBuffer += NumBytesToWrite; + NumBytes -= NumBytesToWrite; + WrOff += NumBytesToWrite; +#endif + if (WrOff == pRing->SizeOfBuffer) { + WrOff = 0u; + } + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff; + } while (NumBytes); + return NumBytesWritten; +} + +/********************************************************************* +* +* _WriteNoCheck() +* +* Function description +* Stores a specified number of characters in SEGGER RTT ring buffer +* and updates the associated write pointer which is periodically +* read by the host. +* It is callers responsibility to make sure data actually fits in buffer. +* +* Parameters +* pRing Ring buffer to post to. +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Notes +* (1) If there might not be enough space in the "Up"-buffer, call _WriteBlocking +*/ +static void _WriteNoCheck(SEGGER_RTT_BUFFER_UP* pRing, const char* pData, unsigned NumBytes) { + unsigned NumBytesAtOnce; + unsigned WrOff; + unsigned Rem; + volatile char* pDst; + + WrOff = pRing->WrOff; + Rem = pRing->SizeOfBuffer - WrOff; + if (Rem > NumBytes) { + // + // All data fits before wrap around + // + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + WrOff += NumBytes; + while (NumBytes--) { + *pDst++ = *pData++; + }; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff; +#else + SEGGER_RTT_MEMCPY((void*)pDst, pData, NumBytes); + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff + NumBytes; +#endif + } else { + // + // We reach the end of the buffer, so need to wrap around + // +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; + NumBytesAtOnce = Rem; + while (NumBytesAtOnce--) { + *pDst++ = *pData++; + }; + pDst = pRing->pBuffer + SEGGER_RTT_UNCACHED_OFF; + NumBytesAtOnce = NumBytes - Rem; + while (NumBytesAtOnce--) { + *pDst++ = *pData++; + }; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = NumBytes - Rem; +#else + NumBytesAtOnce = Rem; + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; + SEGGER_RTT_MEMCPY((void*)pDst, pData, NumBytesAtOnce); + NumBytesAtOnce = NumBytes - Rem; + pDst = pRing->pBuffer + SEGGER_RTT_UNCACHED_OFF; + SEGGER_RTT_MEMCPY((void*)pDst, pData + Rem, NumBytesAtOnce); + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = NumBytesAtOnce; +#endif + } +} + +/********************************************************************* +* +* _PostTerminalSwitch() +* +* Function description +* Switch terminal to the given terminal ID. It is the caller's +* responsibility to ensure the terminal ID is correct and there is +* enough space in the buffer for this to complete successfully. +* +* Parameters +* pRing Ring buffer to post to. +* TerminalId Terminal ID to switch to. +*/ +static void _PostTerminalSwitch(SEGGER_RTT_BUFFER_UP* pRing, unsigned char TerminalId) { + unsigned char ac[2]; + + ac[0] = 0xFFu; + ac[1] = _aTerminalId[TerminalId]; // Caller made already sure that TerminalId does not exceed our terminal limit + _WriteBlocking(pRing, (const char*)ac, 2u); +} + +/********************************************************************* +* +* _GetAvailWriteSpace() +* +* Function description +* Returns the number of bytes that can be written to the ring +* buffer without blocking. +* +* Parameters +* pRing Ring buffer to check. +* +* Return value +* Number of bytes that are free in the buffer. +*/ +static unsigned _GetAvailWriteSpace(SEGGER_RTT_BUFFER_UP* pRing) { + unsigned RdOff; + unsigned WrOff; + unsigned r; + // + // Avoid warnings regarding volatile access order. It's not a problem + // in this case, but dampen compiler enthusiasm. + // + RdOff = pRing->RdOff; + WrOff = pRing->WrOff; + if (RdOff <= WrOff) { + r = pRing->SizeOfBuffer - 1u - WrOff + RdOff; + } else { + r = RdOff - WrOff - 1u; + } + return r; +} + +/********************************************************************* +* +* Public code +* +********************************************************************** +*/ + +/********************************************************************* +* +* SEGGER_RTT_ReadUpBufferNoLock() +* +* Function description +* Reads characters from SEGGER real-time-terminal control block +* which have been previously stored by the application. +* Do not lock against interrupts and multiple access. +* Used to do the same operation that J-Link does, to transfer +* RTT data via other channels, such as TCP/IP or UART. +* +* Parameters +* BufferIndex Index of Up-buffer to be used. +* pBuffer Pointer to buffer provided by target application, to copy characters from RTT-up-buffer to. +* BufferSize Size of the target application buffer. +* +* Return value +* Number of bytes that have been read. +* +* Additional information +* This function must not be called when J-Link might also do RTT. +*/ +unsigned SEGGER_RTT_ReadUpBufferNoLock(unsigned BufferIndex, void* pData, unsigned BufferSize) { + unsigned NumBytesRem; + unsigned NumBytesRead; + unsigned RdOff; + unsigned WrOff; + unsigned char* pBuffer; + SEGGER_RTT_BUFFER_UP* pRing; + volatile char* pSrc; + + INIT(); + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + pBuffer = (unsigned char*)pData; + RdOff = pRing->RdOff; + WrOff = pRing->WrOff; + NumBytesRead = 0u; + // + // Read from current read position to wrap-around of buffer, first + // + if (RdOff > WrOff) { + NumBytesRem = pRing->SizeOfBuffer - RdOff; + NumBytesRem = MIN(NumBytesRem, BufferSize); + pSrc = (pRing->pBuffer + RdOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytesRead += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; + while (NumBytesRem--) { + *pBuffer++ = *pSrc++; + }; +#else + SEGGER_RTT_MEMCPY(pBuffer, (void*)pSrc, NumBytesRem); + NumBytesRead += NumBytesRem; + pBuffer += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; +#endif + // + // Handle wrap-around of buffer + // + if (RdOff == pRing->SizeOfBuffer) { + RdOff = 0u; + } + } + // + // Read remaining items of buffer + // + NumBytesRem = WrOff - RdOff; + NumBytesRem = MIN(NumBytesRem, BufferSize); + if (NumBytesRem > 0u) { + pSrc = (pRing->pBuffer + RdOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytesRead += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; + while (NumBytesRem--) { + *pBuffer++ = *pSrc++; + }; +#else + SEGGER_RTT_MEMCPY(pBuffer, (void*)pSrc, NumBytesRem); + NumBytesRead += NumBytesRem; + pBuffer += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; +#endif + } + // + // Update read offset of buffer + // + if (NumBytesRead) { + pRing->RdOff = RdOff; + } + // + return NumBytesRead; +} + +/********************************************************************* +* +* SEGGER_RTT_ReadNoLock() +* +* Function description +* Reads characters from SEGGER real-time-terminal control block +* which have been previously stored by the host. +* Do not lock against interrupts and multiple access. +* +* Parameters +* BufferIndex Index of Down-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to buffer provided by target application, to copy characters from RTT-down-buffer to. +* BufferSize Size of the target application buffer. +* +* Return value +* Number of bytes that have been read. +*/ +unsigned SEGGER_RTT_ReadNoLock(unsigned BufferIndex, void* pData, unsigned BufferSize) { + unsigned NumBytesRem; + unsigned NumBytesRead; + unsigned RdOff; + unsigned WrOff; + unsigned char* pBuffer; + SEGGER_RTT_BUFFER_DOWN* pRing; + volatile char* pSrc; + // + INIT(); + pRing = (SEGGER_RTT_BUFFER_DOWN*)((char*)&_SEGGER_RTT.aDown[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + pBuffer = (unsigned char*)pData; + RdOff = pRing->RdOff; + WrOff = pRing->WrOff; + NumBytesRead = 0u; + // + // Read from current read position to wrap-around of buffer, first + // + if (RdOff > WrOff) { + NumBytesRem = pRing->SizeOfBuffer - RdOff; + NumBytesRem = MIN(NumBytesRem, BufferSize); + pSrc = (pRing->pBuffer + RdOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytesRead += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; + while (NumBytesRem--) { + *pBuffer++ = *pSrc++; + }; +#else + SEGGER_RTT_MEMCPY(pBuffer, (void*)pSrc, NumBytesRem); + NumBytesRead += NumBytesRem; + pBuffer += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; +#endif + // + // Handle wrap-around of buffer + // + if (RdOff == pRing->SizeOfBuffer) { + RdOff = 0u; + } + } + // + // Read remaining items of buffer + // + NumBytesRem = WrOff - RdOff; + NumBytesRem = MIN(NumBytesRem, BufferSize); + if (NumBytesRem > 0u) { + pSrc = (pRing->pBuffer + RdOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytesRead += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; + while (NumBytesRem--) { + *pBuffer++ = *pSrc++; + }; +#else + SEGGER_RTT_MEMCPY(pBuffer, (void*)pSrc, NumBytesRem); + NumBytesRead += NumBytesRem; + pBuffer += NumBytesRem; + BufferSize -= NumBytesRem; + RdOff += NumBytesRem; +#endif + } + if (NumBytesRead) { + pRing->RdOff = RdOff; + } + // + return NumBytesRead; +} + +/********************************************************************* +* +* SEGGER_RTT_ReadUpBuffer +* +* Function description +* Reads characters from SEGGER real-time-terminal control block +* which have been previously stored by the application. +* Used to do the same operation that J-Link does, to transfer +* RTT data via other channels, such as TCP/IP or UART. +* +* Parameters +* BufferIndex Index of Up-buffer to be used. +* pBuffer Pointer to buffer provided by target application, to copy characters from RTT-up-buffer to. +* BufferSize Size of the target application buffer. +* +* Return value +* Number of bytes that have been read. +* +* Additional information +* This function must not be called when J-Link might also do RTT. +* This function locks against all other RTT operations. I.e. during +* the read operation, writing is also locked. +* If only one consumer reads from the up buffer, +* call sEGGER_RTT_ReadUpBufferNoLock() instead. +*/ +unsigned SEGGER_RTT_ReadUpBuffer(unsigned BufferIndex, void* pBuffer, unsigned BufferSize) { + unsigned NumBytesRead; + + SEGGER_RTT_LOCK(); + // + // Call the non-locking read function + // + NumBytesRead = SEGGER_RTT_ReadUpBufferNoLock(BufferIndex, pBuffer, BufferSize); + // + // Finish up. + // + SEGGER_RTT_UNLOCK(); + // + return NumBytesRead; +} + +/********************************************************************* +* +* SEGGER_RTT_Read +* +* Function description +* Reads characters from SEGGER real-time-terminal control block +* which have been previously stored by the host. +* +* Parameters +* BufferIndex Index of Down-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to buffer provided by target application, to copy characters from RTT-down-buffer to. +* BufferSize Size of the target application buffer. +* +* Return value +* Number of bytes that have been read. +*/ +unsigned SEGGER_RTT_Read(unsigned BufferIndex, void* pBuffer, unsigned BufferSize) { + unsigned NumBytesRead; + + SEGGER_RTT_LOCK(); + // + // Call the non-locking read function + // + NumBytesRead = SEGGER_RTT_ReadNoLock(BufferIndex, pBuffer, BufferSize); + // + // Finish up. + // + SEGGER_RTT_UNLOCK(); + // + return NumBytesRead; +} + +/********************************************************************* +* +* SEGGER_RTT_WriteWithOverwriteNoLock +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block. +* SEGGER_RTT_WriteWithOverwriteNoLock does not lock the application +* and overwrites data if the data does not fit into the buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Notes +* (1) If there is not enough space in the "Up"-buffer, data is overwritten. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +* (3) Do not use SEGGER_RTT_WriteWithOverwriteNoLock if a J-Link +* connection reads RTT data. +*/ +void SEGGER_RTT_WriteWithOverwriteNoLock(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + const char* pData; + SEGGER_RTT_BUFFER_UP* pRing; + unsigned Avail; + volatile char* pDst; + // + // Get "to-host" ring buffer and copy some elements into local variables. + // + pData = (const char *)pBuffer; + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // Check if we will overwrite data and need to adjust the RdOff. + // + if (pRing->WrOff == pRing->RdOff) { + Avail = pRing->SizeOfBuffer - 1u; + } else if ( pRing->WrOff < pRing->RdOff) { + Avail = pRing->RdOff - pRing->WrOff - 1u; + } else { + Avail = pRing->RdOff - pRing->WrOff - 1u + pRing->SizeOfBuffer; + } + if (NumBytes > Avail) { + pRing->RdOff += (NumBytes - Avail); + while (pRing->RdOff >= pRing->SizeOfBuffer) { + pRing->RdOff -= pRing->SizeOfBuffer; + } + } + // + // Write all data, no need to check the RdOff, but possibly handle multiple wrap-arounds + // + Avail = pRing->SizeOfBuffer - pRing->WrOff; + do { + if (Avail > NumBytes) { + // + // Last round + // + pDst = (pRing->pBuffer + pRing->WrOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + Avail = NumBytes; + while (NumBytes--) { + *pDst++ = *pData++; + }; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff += Avail; +#else + SEGGER_RTT_MEMCPY((void*)pDst, pData, NumBytes); + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff += NumBytes; +#endif + break; + } else { + // + // Wrap-around necessary, write until wrap-around and reset WrOff + // + pDst = (pRing->pBuffer + pRing->WrOff) + SEGGER_RTT_UNCACHED_OFF; +#if SEGGER_RTT_MEMCPY_USE_BYTELOOP + NumBytes -= Avail; + while (Avail--) { + *pDst++ = *pData++; + }; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = 0; +#else + SEGGER_RTT_MEMCPY((void*)pDst, pData, Avail); + pData += Avail; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = 0; + NumBytes -= Avail; +#endif + Avail = (pRing->SizeOfBuffer - 1); + } + } while (NumBytes); +} + +/********************************************************************* +* +* SEGGER_RTT_WriteSkipNoLock +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block which is then read by the host. +* SEGGER_RTT_WriteSkipNoLock does not lock the application and +* skips all data, if the data does not fit into the buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* MUST be > 0!!! +* This is done for performance reasons, so no initial check has do be done. +* +* Return value +* 1: Data has been copied +* 0: No space, data has not been copied +* +* Notes +* (1) If there is not enough space in the "Up"-buffer, all data is dropped. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +*/ +#if (RTT_USE_ASM == 0) +unsigned SEGGER_RTT_WriteSkipNoLock(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + const char* pData; + SEGGER_RTT_BUFFER_UP* pRing; + unsigned Avail; + unsigned RdOff; + unsigned WrOff; + unsigned Rem; + volatile char* pDst; + // + // Cases: + // 1) RdOff <= WrOff => Space until wrap-around is sufficient + // 2) RdOff <= WrOff => Space after wrap-around needed (copy in 2 chunks) + // 3) RdOff < WrOff => No space in buf + // 4) RdOff > WrOff => Space is sufficient + // 5) RdOff > WrOff => No space in buf + // + // 1) is the most common case for large buffers and assuming that J-Link reads the data fast enough + // + pData = (const char *)pBuffer; + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + RdOff = pRing->RdOff; + WrOff = pRing->WrOff; + if (RdOff <= WrOff) { // Case 1), 2) or 3) + Avail = pRing->SizeOfBuffer - WrOff - 1u; // Space until wrap-around (assume 1 byte not usable for case that RdOff == 0) + if (Avail >= NumBytes) { // Case 1)? +CopyStraight: + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; + memcpy((void*)pDst, pData, NumBytes); + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff + NumBytes; + return 1; + } + Avail += RdOff; // Space incl. wrap-around + if (Avail >= NumBytes) { // Case 2? => If not, we have case 3) (does not fit) + Rem = pRing->SizeOfBuffer - WrOff; // Space until end of buffer + pDst = (pRing->pBuffer + WrOff) + SEGGER_RTT_UNCACHED_OFF; + memcpy((void*)pDst, pData, Rem); // Copy 1st chunk + NumBytes -= Rem; + // + // Special case: First check that assumed RdOff == 0 calculated that last element before wrap-around could not be used + // But 2nd check (considering space until wrap-around and until RdOff) revealed that RdOff is not 0, so we can use the last element + // In this case, we may use a copy straight until buffer end anyway without needing to copy 2 chunks + // Therefore, check if 2nd memcpy is necessary at all + // + if (NumBytes) { + pDst = pRing->pBuffer + SEGGER_RTT_UNCACHED_OFF; + memcpy((void*)pDst, pData + Rem, NumBytes); + } + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = NumBytes; + return 1; + } + } else { // Potential case 4) + Avail = RdOff - WrOff - 1u; + if (Avail >= NumBytes) { // Case 4)? => If not, we have case 5) (does not fit) + goto CopyStraight; + } + } + return 0; // No space in buffer +} +#endif + +/********************************************************************* +* +* SEGGER_RTT_WriteDownBufferNoLock +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block inside a buffer. +* SEGGER_RTT_WriteDownBufferNoLock does not lock the application. +* Used to do the same operation that J-Link does, to transfer +* RTT data from other channels, such as TCP/IP or UART. +* +* Parameters +* BufferIndex Index of "Down"-buffer to be used. +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Return value +* Number of bytes which have been stored in the "Down"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +* +* Additional information +* This function must not be called when J-Link might also do RTT. +*/ +unsigned SEGGER_RTT_WriteDownBufferNoLock(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + unsigned Status; + unsigned Avail; + const char* pData; + SEGGER_RTT_BUFFER_UP* pRing; + // + // Get "to-target" ring buffer. + // It is save to cast that to a "to-host" buffer. Up and Down buffer differ in volatility of offsets that might be modified by J-Link. + // + pData = (const char *)pBuffer; + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aDown[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // How we output depends upon the mode... + // + switch (pRing->Flags) { + case SEGGER_RTT_MODE_NO_BLOCK_SKIP: + // + // If we are in skip mode and there is no space for the whole + // of this output, don't bother. + // + Avail = _GetAvailWriteSpace(pRing); + if (Avail < NumBytes) { + Status = 0u; + } else { + Status = NumBytes; + _WriteNoCheck(pRing, pData, NumBytes); + } + break; + case SEGGER_RTT_MODE_NO_BLOCK_TRIM: + // + // If we are in trim mode, trim to what we can output without blocking. + // + Avail = _GetAvailWriteSpace(pRing); + Status = Avail < NumBytes ? Avail : NumBytes; + _WriteNoCheck(pRing, pData, Status); + break; + case SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL: + // + // If we are in blocking mode, output everything. + // + Status = _WriteBlocking(pRing, pData, NumBytes); + break; + default: + Status = 0u; + break; + } + // + // Finish up. + // + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_WriteNoLock +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block which is then read by the host. +* SEGGER_RTT_WriteNoLock does not lock the application. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +*/ +unsigned SEGGER_RTT_WriteNoLock(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + unsigned Status; + unsigned Avail; + const char* pData; + SEGGER_RTT_BUFFER_UP* pRing; + // + // Get "to-host" ring buffer. + // + pData = (const char *)pBuffer; + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // How we output depends upon the mode... + // + switch (pRing->Flags) { + case SEGGER_RTT_MODE_NO_BLOCK_SKIP: + // + // If we are in skip mode and there is no space for the whole + // of this output, don't bother. + // + Avail = _GetAvailWriteSpace(pRing); + if (Avail < NumBytes) { + Status = 0u; + } else { + Status = NumBytes; + _WriteNoCheck(pRing, pData, NumBytes); + } + break; + case SEGGER_RTT_MODE_NO_BLOCK_TRIM: + // + // If we are in trim mode, trim to what we can output without blocking. + // + Avail = _GetAvailWriteSpace(pRing); + Status = Avail < NumBytes ? Avail : NumBytes; + _WriteNoCheck(pRing, pData, Status); + break; + case SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL: + // + // If we are in blocking mode, output everything. + // + Status = _WriteBlocking(pRing, pData, NumBytes); + break; + default: + Status = 0u; + break; + } + // + // Finish up. + // + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_WriteDownBuffer +* +* Function description +* Stores a specified number of characters in SEGGER RTT control block in a buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Return value +* Number of bytes which have been stored in the "Down"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +* +* Additional information +* This function must not be called when J-Link might also do RTT. +* This function locks against all other RTT operations. I.e. during +* the write operation, writing from the application is also locked. +* If only one consumer writes to the down buffer, +* call SEGGER_RTT_WriteDownBufferNoLock() instead. +*/ +unsigned SEGGER_RTT_WriteDownBuffer(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + unsigned Status; + + INIT(); + SEGGER_RTT_LOCK(); + Status = SEGGER_RTT_WriteDownBufferNoLock(BufferIndex, pBuffer, NumBytes); // Call the non-locking write function + SEGGER_RTT_UNLOCK(); + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_Write +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block which is then read by the host. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +*/ +unsigned SEGGER_RTT_Write(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes) { + unsigned Status; + + INIT(); + SEGGER_RTT_LOCK(); + Status = SEGGER_RTT_WriteNoLock(BufferIndex, pBuffer, NumBytes); // Call the non-locking write function + SEGGER_RTT_UNLOCK(); + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_WriteString +* +* Function description +* Stores string in SEGGER RTT control block. +* This data is read by the host. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* s Pointer to string. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +* (2) String passed to this function has to be \0 terminated +* (3) \0 termination character is *not* stored in RTT buffer +*/ +unsigned SEGGER_RTT_WriteString(unsigned BufferIndex, const char* s) { + unsigned Len; + + Len = STRLEN(s); + return SEGGER_RTT_Write(BufferIndex, s, Len); +} + +/********************************************************************* +* +* SEGGER_RTT_PutCharSkipNoLock +* +* Function description +* Stores a single character/byte in SEGGER RTT buffer. +* SEGGER_RTT_PutCharSkipNoLock does not lock the application and +* skips the byte, if it does not fit into the buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* c Byte to be stored. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) If there is not enough space in the "Up"-buffer, the character is dropped. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +*/ + +unsigned SEGGER_RTT_PutCharSkipNoLock(unsigned BufferIndex, char c) { + SEGGER_RTT_BUFFER_UP* pRing; + unsigned WrOff; + unsigned Status; + volatile char* pDst; + // + // Get "to-host" ring buffer. + // + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // Get write position and handle wrap-around if necessary + // + WrOff = pRing->WrOff + 1; + if (WrOff == pRing->SizeOfBuffer) { + WrOff = 0; + } + // + // Output byte if free space is available + // + if (WrOff != pRing->RdOff) { + pDst = (pRing->pBuffer + pRing->WrOff) + SEGGER_RTT_UNCACHED_OFF; + *pDst = c; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff; + Status = 1; + } else { + Status = 0; + } + // + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_PutCharSkip +* +* Function description +* Stores a single character/byte in SEGGER RTT buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* c Byte to be stored. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) If there is not enough space in the "Up"-buffer, the character is dropped. +*/ + +unsigned SEGGER_RTT_PutCharSkip(unsigned BufferIndex, char c) { + SEGGER_RTT_BUFFER_UP* pRing; + unsigned WrOff; + unsigned Status; + volatile char* pDst; + // + // Prepare + // + INIT(); + SEGGER_RTT_LOCK(); + // + // Get "to-host" ring buffer. + // + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // Get write position and handle wrap-around if necessary + // + WrOff = pRing->WrOff + 1; + if (WrOff == pRing->SizeOfBuffer) { + WrOff = 0; + } + // + // Output byte if free space is available + // + if (WrOff != pRing->RdOff) { + pDst = (pRing->pBuffer + pRing->WrOff) + SEGGER_RTT_UNCACHED_OFF; + *pDst = c; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff; + Status = 1; + } else { + Status = 0; + } + // + // Finish up. + // + SEGGER_RTT_UNLOCK(); + // + return Status; +} + + /********************************************************************* +* +* SEGGER_RTT_PutChar +* +* Function description +* Stores a single character/byte in SEGGER RTT buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* c Byte to be stored. +* +* Return value +* Number of bytes which have been stored in the "Up"-buffer. +* +* Notes +* (1) Data is stored according to buffer flags. +*/ + +unsigned SEGGER_RTT_PutChar(unsigned BufferIndex, char c) { + SEGGER_RTT_BUFFER_UP* pRing; + unsigned WrOff; + unsigned Status; + volatile char* pDst; + // + // Prepare + // + INIT(); + SEGGER_RTT_LOCK(); + // + // Get "to-host" ring buffer. + // + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // Get write position and handle wrap-around if necessary + // + WrOff = pRing->WrOff + 1; + if (WrOff == pRing->SizeOfBuffer) { + WrOff = 0; + } + // + // Wait for free space if mode is set to blocking + // + if (pRing->Flags == SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL) { + while (WrOff == pRing->RdOff) { + ; + } + } + // + // Output byte if free space is available + // + if (WrOff != pRing->RdOff) { + pDst = (pRing->pBuffer + pRing->WrOff) + SEGGER_RTT_UNCACHED_OFF; + *pDst = c; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + pRing->WrOff = WrOff; + Status = 1; + } else { + Status = 0; + } + // + // Finish up. + // + SEGGER_RTT_UNLOCK(); + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_GetKey +* +* Function description +* Reads one character from the SEGGER RTT buffer. +* Host has previously stored data there. +* +* Return value +* < 0 - No character available (buffer empty). +* >= 0 - Character which has been read. (Possible values: 0 - 255) +* +* Notes +* (1) This function is only specified for accesses to RTT buffer 0. +*/ +int SEGGER_RTT_GetKey(void) { + char c; + int r; + + r = (int)SEGGER_RTT_Read(0u, &c, 1u); + if (r == 1) { + r = (int)(unsigned char)c; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_WaitKey +* +* Function description +* Waits until at least one character is avaible in the SEGGER RTT buffer. +* Once a character is available, it is read and this function returns. +* +* Return value +* >=0 - Character which has been read. +* +* Notes +* (1) This function is only specified for accesses to RTT buffer 0 +* (2) This function is blocking if no character is present in RTT buffer +*/ +int SEGGER_RTT_WaitKey(void) { + int r; + + do { + r = SEGGER_RTT_GetKey(); + } while (r < 0); + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_HasKey +* +* Function description +* Checks if at least one character for reading is available in the SEGGER RTT buffer. +* +* Return value +* == 0 - No characters are available to read. +* == 1 - At least one character is available. +* +* Notes +* (1) This function is only specified for accesses to RTT buffer 0 +*/ +int SEGGER_RTT_HasKey(void) { + SEGGER_RTT_BUFFER_DOWN* pRing; + unsigned RdOff; + int r; + + INIT(); + pRing = (SEGGER_RTT_BUFFER_DOWN*)((char*)&_SEGGER_RTT.aDown[0] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + RdOff = pRing->RdOff; + if (RdOff != pRing->WrOff) { + r = 1; + } else { + r = 0; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_HasData +* +* Function description +* Check if there is data from the host in the given buffer. +* +* Return value: +* ==0: No data +* !=0: Data in buffer +* +*/ +unsigned SEGGER_RTT_HasData(unsigned BufferIndex) { + SEGGER_RTT_BUFFER_DOWN* pRing; + unsigned v; + + pRing = (SEGGER_RTT_BUFFER_DOWN*)((char*)&_SEGGER_RTT.aDown[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + v = pRing->WrOff; + return v - pRing->RdOff; +} + +/********************************************************************* +* +* SEGGER_RTT_HasDataUp +* +* Function description +* Check if there is data remaining to be sent in the given buffer. +* +* Return value: +* ==0: No data +* !=0: Data in buffer +* +*/ +unsigned SEGGER_RTT_HasDataUp(unsigned BufferIndex) { + SEGGER_RTT_BUFFER_UP* pRing; + unsigned v; + + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + v = pRing->RdOff; + return pRing->WrOff - v; +} + +/********************************************************************* +* +* SEGGER_RTT_AllocDownBuffer +* +* Function description +* Run-time configuration of the next down-buffer (H->T). +* The next buffer, which is not used yet is configured. +* This includes: Buffer address, size, name, flags, ... +* +* Parameters +* sName Pointer to a constant name string. +* pBuffer Pointer to a buffer to be used. +* BufferSize Size of the buffer. +* Flags Operating modes. Define behavior if buffer is full (not enough space for entire message). +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 - O.K. Buffer Index +* < 0 - Error +*/ +int SEGGER_RTT_AllocDownBuffer(const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags) { + int BufferIndex; + volatile SEGGER_RTT_CB* pRTTCB; + + INIT(); + SEGGER_RTT_LOCK(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + BufferIndex = 0; + do { + if (pRTTCB->aDown[BufferIndex].pBuffer == NULL) { + break; + } + BufferIndex++; + } while (BufferIndex < pRTTCB->MaxNumDownBuffers); + if (BufferIndex < pRTTCB->MaxNumDownBuffers) { + pRTTCB->aDown[BufferIndex].sName = sName; + pRTTCB->aDown[BufferIndex].pBuffer = (char*)pBuffer; + pRTTCB->aDown[BufferIndex].SizeOfBuffer = BufferSize; + pRTTCB->aDown[BufferIndex].RdOff = 0u; + pRTTCB->aDown[BufferIndex].WrOff = 0u; + pRTTCB->aDown[BufferIndex].Flags = Flags; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + } else { + BufferIndex = -1; + } + SEGGER_RTT_UNLOCK(); + return BufferIndex; +} + +/********************************************************************* +* +* SEGGER_RTT_AllocUpBuffer +* +* Function description +* Run-time configuration of the next up-buffer (T->H). +* The next buffer, which is not used yet is configured. +* This includes: Buffer address, size, name, flags, ... +* +* Parameters +* sName Pointer to a constant name string. +* pBuffer Pointer to a buffer to be used. +* BufferSize Size of the buffer. +* Flags Operating modes. Define behavior if buffer is full (not enough space for entire message). +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 - O.K. Buffer Index +* < 0 - Error +*/ +int SEGGER_RTT_AllocUpBuffer(const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags) { + int BufferIndex; + volatile SEGGER_RTT_CB* pRTTCB; + + INIT(); + SEGGER_RTT_LOCK(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + BufferIndex = 0; + do { + if (pRTTCB->aUp[BufferIndex].pBuffer == NULL) { + break; + } + BufferIndex++; + } while (BufferIndex < pRTTCB->MaxNumUpBuffers); + if (BufferIndex < pRTTCB->MaxNumUpBuffers) { + pRTTCB->aUp[BufferIndex].sName = sName; + pRTTCB->aUp[BufferIndex].pBuffer = (char*)pBuffer; + pRTTCB->aUp[BufferIndex].SizeOfBuffer = BufferSize; + pRTTCB->aUp[BufferIndex].RdOff = 0u; + pRTTCB->aUp[BufferIndex].WrOff = 0u; + pRTTCB->aUp[BufferIndex].Flags = Flags; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + } else { + BufferIndex = -1; + } + SEGGER_RTT_UNLOCK(); + return BufferIndex; +} + +/********************************************************************* +* +* SEGGER_RTT_ConfigUpBuffer +* +* Function description +* Run-time configuration of a specific up-buffer (T->H). +* Buffer to be configured is specified by index. +* This includes: Buffer address, size, name, flags, ... +* +* Parameters +* BufferIndex Index of the buffer to configure. +* sName Pointer to a constant name string. +* pBuffer Pointer to a buffer to be used. +* BufferSize Size of the buffer. +* Flags Operating modes. Define behavior if buffer is full (not enough space for entire message). +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 - O.K. +* < 0 - Error +* +* Additional information +* Buffer 0 is configured on compile-time. +* May only be called once per buffer. +* Buffer name and flags can be reconfigured using the appropriate functions. +*/ +int SEGGER_RTT_ConfigUpBuffer(unsigned BufferIndex, const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_UP* pUp; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_UP_BUFFERS) { + SEGGER_RTT_LOCK(); + pUp = &pRTTCB->aUp[BufferIndex]; + if (BufferIndex) { + pUp->sName = sName; + pUp->pBuffer = (char*)pBuffer; + pUp->SizeOfBuffer = BufferSize; + pUp->RdOff = 0u; + pUp->WrOff = 0u; + } + pUp->Flags = Flags; + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_ConfigDownBuffer +* +* Function description +* Run-time configuration of a specific down-buffer (H->T). +* Buffer to be configured is specified by index. +* This includes: Buffer address, size, name, flags, ... +* +* Parameters +* BufferIndex Index of the buffer to configure. +* sName Pointer to a constant name string. +* pBuffer Pointer to a buffer to be used. +* BufferSize Size of the buffer. +* Flags Operating modes. Define behavior if buffer is full (not enough space for entire message). +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 O.K. +* < 0 Error +* +* Additional information +* Buffer 0 is configured on compile-time. +* May only be called once per buffer. +* Buffer name and flags can be reconfigured using the appropriate functions. +*/ +int SEGGER_RTT_ConfigDownBuffer(unsigned BufferIndex, const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_DOWN* pDown; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_DOWN_BUFFERS) { + SEGGER_RTT_LOCK(); + pDown = &pRTTCB->aDown[BufferIndex]; + if (BufferIndex) { + pDown->sName = sName; + pDown->pBuffer = (char*)pBuffer; + pDown->SizeOfBuffer = BufferSize; + pDown->RdOff = 0u; + pDown->WrOff = 0u; + } + pDown->Flags = Flags; + RTT__DMB(); // Force data write to be complete before writing the , in case CPU is allowed to change the order of memory accesses + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_SetNameUpBuffer +* +* Function description +* Run-time configuration of a specific up-buffer name (T->H). +* Buffer to be configured is specified by index. +* +* Parameters +* BufferIndex Index of the buffer to renamed. +* sName Pointer to a constant name string. +* +* Return value +* >= 0 O.K. +* < 0 Error +*/ +int SEGGER_RTT_SetNameUpBuffer(unsigned BufferIndex, const char* sName) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_UP* pUp; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_UP_BUFFERS) { + SEGGER_RTT_LOCK(); + pUp = &pRTTCB->aUp[BufferIndex]; + pUp->sName = sName; + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_SetNameDownBuffer +* +* Function description +* Run-time configuration of a specific Down-buffer name (T->H). +* Buffer to be configured is specified by index. +* +* Parameters +* BufferIndex Index of the buffer to renamed. +* sName Pointer to a constant name string. +* +* Return value +* >= 0 O.K. +* < 0 Error +*/ +int SEGGER_RTT_SetNameDownBuffer(unsigned BufferIndex, const char* sName) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_DOWN* pDown; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_DOWN_BUFFERS) { + SEGGER_RTT_LOCK(); + pDown = &pRTTCB->aDown[BufferIndex]; + pDown->sName = sName; + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_SetFlagsUpBuffer +* +* Function description +* Run-time configuration of specific up-buffer flags (T->H). +* Buffer to be configured is specified by index. +* +* Parameters +* BufferIndex Index of the buffer. +* Flags Flags to set for the buffer. +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 O.K. +* < 0 Error +*/ +int SEGGER_RTT_SetFlagsUpBuffer(unsigned BufferIndex, unsigned Flags) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_UP* pUp; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_UP_BUFFERS) { + SEGGER_RTT_LOCK(); + pUp = &pRTTCB->aUp[BufferIndex]; + pUp->Flags = Flags; + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_SetFlagsDownBuffer +* +* Function description +* Run-time configuration of specific Down-buffer flags (T->H). +* Buffer to be configured is specified by index. +* +* Parameters +* BufferIndex Index of the buffer to renamed. +* Flags Flags to set for the buffer. +* Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +* +* Return value +* >= 0 O.K. +* < 0 Error +*/ +int SEGGER_RTT_SetFlagsDownBuffer(unsigned BufferIndex, unsigned Flags) { + int r; + volatile SEGGER_RTT_CB* pRTTCB; + volatile SEGGER_RTT_BUFFER_DOWN* pDown; + + INIT(); + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + if (BufferIndex < SEGGER_RTT_MAX_NUM_DOWN_BUFFERS) { + SEGGER_RTT_LOCK(); + pDown = &pRTTCB->aDown[BufferIndex]; + pDown->Flags = Flags; + SEGGER_RTT_UNLOCK(); + r = 0; + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_Init +* +* Function description +* Initializes the RTT Control Block. +* Should be used in RAM targets, at start of the application. +* +*/ +void SEGGER_RTT_Init (void) { + _DoInit(); +} + +/********************************************************************* +* +* SEGGER_RTT_SetTerminal +* +* Function description +* Sets the terminal to be used for output on channel 0. +* +* Parameters +* TerminalId Index of the terminal. +* +* Return value +* >= 0 O.K. +* < 0 Error (e.g. if RTT is configured for non-blocking mode and there was no space in the buffer to set the new terminal Id) +* +* Notes +* (1) Buffer 0 is always reserved for terminal I/O, so we can use index 0 here, fixed +*/ +int SEGGER_RTT_SetTerminal (unsigned char TerminalId) { + unsigned char ac[2]; + SEGGER_RTT_BUFFER_UP* pRing; + unsigned Avail; + int r; + + INIT(); + r = 0; + ac[0] = 0xFFu; + if (TerminalId < sizeof(_aTerminalId)) { // We only support a certain number of channels + ac[1] = _aTerminalId[TerminalId]; + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[0] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + SEGGER_RTT_LOCK(); // Lock to make sure that no other task is writing into buffer, while we are and number of free bytes in buffer does not change downwards after checking and before writing + if ((pRing->Flags & SEGGER_RTT_MODE_MASK) == SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL) { + _ActiveTerminal = TerminalId; + _WriteBlocking(pRing, (const char*)ac, 2u); + } else { // Skipping mode or trim mode? => We cannot trim this command so handling is the same for both modes + Avail = _GetAvailWriteSpace(pRing); + if (Avail >= 2) { + _ActiveTerminal = TerminalId; // Only change active terminal in case of success + _WriteNoCheck(pRing, (const char*)ac, 2u); + } else { + r = -1; + } + } + SEGGER_RTT_UNLOCK(); + } else { + r = -1; + } + return r; +} + +/********************************************************************* +* +* SEGGER_RTT_TerminalOut +* +* Function description +* Writes a string to the given terminal +* without changing the terminal for channel 0. +* +* Parameters +* TerminalId Index of the terminal. +* s String to be printed on the terminal. +* +* Return value +* >= 0 - Number of bytes written. +* < 0 - Error. +* +*/ +int SEGGER_RTT_TerminalOut (unsigned char TerminalId, const char* s) { + int Status; + unsigned FragLen; + unsigned Avail; + SEGGER_RTT_BUFFER_UP* pRing; + // + INIT(); + // + // Validate terminal ID. + // + if (TerminalId < (char)sizeof(_aTerminalId)) { // We only support a certain number of channels + // + // Get "to-host" ring buffer. + // + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[0] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + // + // Need to be able to change terminal, write data, change back. + // Compute the fixed and variable sizes. + // + FragLen = STRLEN(s); + // + // How we output depends upon the mode... + // + SEGGER_RTT_LOCK(); + Avail = _GetAvailWriteSpace(pRing); + switch (pRing->Flags & SEGGER_RTT_MODE_MASK) { + case SEGGER_RTT_MODE_NO_BLOCK_SKIP: + // + // If we are in skip mode and there is no space for the whole + // of this output, don't bother switching terminals at all. + // + if (Avail < (FragLen + 4u)) { + Status = 0; + } else { + _PostTerminalSwitch(pRing, TerminalId); + Status = (int)_WriteBlocking(pRing, s, FragLen); + _PostTerminalSwitch(pRing, _ActiveTerminal); + } + break; + case SEGGER_RTT_MODE_NO_BLOCK_TRIM: + // + // If we are in trim mode and there is not enough space for everything, + // trim the output but always include the terminal switch. If no room + // for terminal switch, skip that totally. + // + if (Avail < 4u) { + Status = -1; + } else { + _PostTerminalSwitch(pRing, TerminalId); + Status = (int)_WriteBlocking(pRing, s, (FragLen < (Avail - 4u)) ? FragLen : (Avail - 4u)); + _PostTerminalSwitch(pRing, _ActiveTerminal); + } + break; + case SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL: + // + // If we are in blocking mode, output everything. + // + _PostTerminalSwitch(pRing, TerminalId); + Status = (int)_WriteBlocking(pRing, s, FragLen); + _PostTerminalSwitch(pRing, _ActiveTerminal); + break; + default: + Status = -1; + break; + } + // + // Finish up. + // + SEGGER_RTT_UNLOCK(); + } else { + Status = -1; + } + return Status; +} + +/********************************************************************* +* +* SEGGER_RTT_GetAvailWriteSpace +* +* Function description +* Returns the number of bytes available in the ring buffer. +* +* Parameters +* BufferIndex Index of the up buffer. +* +* Return value +* Number of bytes that are free in the selected up buffer. +*/ +unsigned SEGGER_RTT_GetAvailWriteSpace (unsigned BufferIndex) { + SEGGER_RTT_BUFFER_UP* pRing; + + pRing = (SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[BufferIndex] + SEGGER_RTT_UNCACHED_OFF); // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + return _GetAvailWriteSpace(pRing); +} + + +/********************************************************************* +* +* SEGGER_RTT_GetBytesInBuffer() +* +* Function description +* Returns the number of bytes currently used in the up buffer. +* +* Parameters +* BufferIndex Index of the up buffer. +* +* Return value +* Number of bytes that are used in the buffer. +*/ +unsigned SEGGER_RTT_GetBytesInBuffer(unsigned BufferIndex) { + unsigned RdOff; + unsigned WrOff; + unsigned r; + volatile SEGGER_RTT_CB* pRTTCB; + // + // Avoid warnings regarding volatile access order. It's not a problem + // in this case, but dampen compiler enthusiasm. + // + pRTTCB = (volatile SEGGER_RTT_CB*)((unsigned char*)&_SEGGER_RTT + SEGGER_RTT_UNCACHED_OFF); // Access RTTCB uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + RdOff = pRTTCB->aUp[BufferIndex].RdOff; + WrOff = pRTTCB->aUp[BufferIndex].WrOff; + if (RdOff <= WrOff) { + r = WrOff - RdOff; + } else { + r = pRTTCB->aUp[BufferIndex].SizeOfBuffer - (WrOff - RdOff); + } + return r; +} + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.h b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.h new file mode 100644 index 0000000..ea53400 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT.h @@ -0,0 +1,493 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT.h +Purpose : Implementation of SEGGER real-time transfer which allows + real-time communication on targets which support debugger + memory accesses while the CPU is running. +Revision: $Rev: 25842 $ +---------------------------------------------------------------------- +*/ + +#ifndef SEGGER_RTT_H +#define SEGGER_RTT_H + +#include "../Config/SEGGER_RTT_Conf.h" + +/********************************************************************* +* +* Defines, defaults +* +********************************************************************** +*/ + +#ifndef RTT_USE_ASM + // + // Some cores support out-of-order memory accesses (reordering of memory accesses in the core) + // For such cores, we need to define a memory barrier to guarantee the order of certain accesses to the RTT ring buffers. + // Needed for: + // Cortex-M7 (ARMv7-M) + // Cortex-M23 (ARM-v8M) + // Cortex-M33 (ARM-v8M) + // Cortex-A/R (ARM-v7A/R) + // + // We do not explicitly check for "Embedded Studio" as the compiler in use determines what we support. + // You can use an external toolchain like IAR inside ES. So there is no point in checking for "Embedded Studio" + // + #if (defined __CROSSWORKS_ARM) // Rowley Crossworks + #define _CC_HAS_RTT_ASM_SUPPORT 1 + #if (defined __ARM_ARCH_7M__) // Cortex-M3 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #elif (defined __ARM_ARCH_7EM__) // Cortex-M4/M7 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_BASE__) // Cortex-M23 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_MAIN__) // Cortex-M33 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #else + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #endif + #elif (defined __ARMCC_VERSION) + // + // ARM compiler + // ARM compiler V6.0 and later is clang based. + // Our ASM part is compatible to clang. + // + #if (__ARMCC_VERSION >= 6000000) + #define _CC_HAS_RTT_ASM_SUPPORT 1 + #else + #define _CC_HAS_RTT_ASM_SUPPORT 0 + #endif + #if (defined __ARM_ARCH_6M__) // Cortex-M0 / M1 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 // No ASM support for this architecture + #elif (defined __ARM_ARCH_7M__) // Cortex-M3 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #elif (defined __ARM_ARCH_7EM__) // Cortex-M4/M7 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_BASE__) // Cortex-M23 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_MAIN__) // Cortex-M33 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif ((defined __ARM_ARCH_7A__) || (defined __ARM_ARCH_7R__)) // Cortex-A/R 32-bit ARMv7-A/R + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #else + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #endif + #elif ((defined __GNUC__) || (defined __clang__)) + // + // GCC / Clang + // + #define _CC_HAS_RTT_ASM_SUPPORT 1 + // ARM 7/9: __ARM_ARCH_5__ / __ARM_ARCH_5E__ / __ARM_ARCH_5T__ / __ARM_ARCH_5T__ / __ARM_ARCH_5TE__ + #if (defined __ARM_ARCH_7M__) // Cortex-M3 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #elif (defined __ARM_ARCH_7EM__) // Cortex-M4/M7 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 // Only Cortex-M7 needs a DMB but we cannot distinguish M4 and M7 here... + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_BASE__) // Cortex-M23 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif (defined __ARM_ARCH_8M_MAIN__) // Cortex-M33 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #elif ((defined __ARM_ARCH_7A__) || (defined __ARM_ARCH_7R__)) // Cortex-A/R 32-bit ARMv7-A/R + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() __asm volatile ("dmb\n" : : :); + #else + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #endif + #elif ((defined __IASMARM__) || (defined __ICCARM__)) + // + // IAR assembler/compiler + // + #define _CC_HAS_RTT_ASM_SUPPORT 1 + #if (__VER__ < 6300000) + #define VOLATILE + #else + #define VOLATILE volatile + #endif + #if (defined __ARM7M__) // Needed for old versions that do not know the define yet + #if (__CORE__ == __ARM7M__) // Cortex-M3 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #endif + #endif + #if (defined __ARM7EM__) + #if (__CORE__ == __ARM7EM__) // Cortex-M4/M7 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif + #if (defined __ARM8M_BASELINE__) + #if (__CORE__ == __ARM8M_BASELINE__) // Cortex-M23 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif + #if (defined __ARM8M_MAINLINE__) + #if (__CORE__ == __ARM8M_MAINLINE__) // Cortex-M33 + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif + #if (defined __ARM8EM_MAINLINE__) + #if (__CORE__ == __ARM8EM_MAINLINE__) // Cortex-??? + #define _CORE_HAS_RTT_ASM_SUPPORT 1 + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif + #if (defined __ARM7A__) + #if (__CORE__ == __ARM7A__) // Cortex-A 32-bit ARMv7-A + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif + #if (defined __ARM7R__) + #if (__CORE__ == __ARM7R__) // Cortex-R 32-bit ARMv7-R + #define _CORE_NEEDS_DMB 1 + #define RTT__DMB() asm VOLATILE ("DMB"); + #endif + #endif +// TBD: __ARM8A__ => Cortex-A 64-bit ARMv8-A +// TBD: __ARM8R__ => Cortex-R 64-bit ARMv8-R + #else + // + // Other compilers + // + #define _CC_HAS_RTT_ASM_SUPPORT 0 + #define _CORE_HAS_RTT_ASM_SUPPORT 0 + #endif + // + // If IDE and core support the ASM version, enable ASM version by default + // + #ifndef _CORE_HAS_RTT_ASM_SUPPORT + #define _CORE_HAS_RTT_ASM_SUPPORT 0 // Default for unknown cores + #endif + #if (_CC_HAS_RTT_ASM_SUPPORT && _CORE_HAS_RTT_ASM_SUPPORT) + #define RTT_USE_ASM (1) + #else + #define RTT_USE_ASM (0) + #endif +#endif + +#ifndef _CORE_NEEDS_DMB + #define _CORE_NEEDS_DMB 0 +#endif + +#ifndef RTT__DMB + #if _CORE_NEEDS_DMB + #error "Don't know how to place inline assembly for DMB" + #else + #define RTT__DMB() + #endif +#endif + +#ifndef SEGGER_RTT_CPU_CACHE_LINE_SIZE + #define SEGGER_RTT_CPU_CACHE_LINE_SIZE (0) // On most target systems where RTT is used, we do not have a CPU cache, therefore 0 is a good default here +#endif + +#ifndef SEGGER_RTT_UNCACHED_OFF + #if SEGGER_RTT_CPU_CACHE_LINE_SIZE + #error "SEGGER_RTT_UNCACHED_OFF must be defined when setting SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #else + #define SEGGER_RTT_UNCACHED_OFF (0) + #endif +#endif +#if RTT_USE_ASM + #if SEGGER_RTT_CPU_CACHE_LINE_SIZE + #error "RTT_USE_ASM is not available if SEGGER_RTT_CPU_CACHE_LINE_SIZE != 0" + #endif +#endif + +#ifndef SEGGER_RTT_ASM // defined when SEGGER_RTT.h is included from assembly file +#include +#include + +/********************************************************************* +* +* Defines, fixed +* +********************************************************************** +*/ + +// +// Determine how much we must pad the control block to make it a multiple of a cache line in size +// Assuming: U8 = 1B +// U16 = 2B +// U32 = 4B +// U8/U16/U32* = 4B +// +#if SEGGER_RTT_CPU_CACHE_LINE_SIZE // Avoid division by zero in case we do not have any cache + #define SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(NumBytes) (((NumBytes + SEGGER_RTT_CPU_CACHE_LINE_SIZE - 1) / SEGGER_RTT_CPU_CACHE_LINE_SIZE) * SEGGER_RTT_CPU_CACHE_LINE_SIZE) +#else + #define SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(NumBytes) (NumBytes) +#endif +#define SEGGER_RTT__CB_SIZE (16 + 4 + 4 + (SEGGER_RTT_MAX_NUM_UP_BUFFERS * 24) + (SEGGER_RTT_MAX_NUM_DOWN_BUFFERS * 24)) +#define SEGGER_RTT__CB_PADDING (SEGGER_RTT__ROUND_UP_2_CACHE_LINE_SIZE(SEGGER_RTT__CB_SIZE) - SEGGER_RTT__CB_SIZE) + +/********************************************************************* +* +* Types +* +********************************************************************** +*/ + +// +// Description for a circular buffer (also called "ring buffer") +// which is used as up-buffer (T->H) +// +typedef struct { + const char* sName; // Optional name. Standard names so far are: "Terminal", "SysView", "J-Scope_t4i4" + char* pBuffer; // Pointer to start of buffer + unsigned SizeOfBuffer; // Buffer size in bytes. Note that one byte is lost, as this implementation does not fill up the buffer in order to avoid the problem of being unable to distinguish between full and empty. + unsigned WrOff; // Position of next item to be written by either target. + volatile unsigned RdOff; // Position of next item to be read by host. Must be volatile since it may be modified by host. + unsigned Flags; // Contains configuration flags. Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +} SEGGER_RTT_BUFFER_UP; + +// +// Description for a circular buffer (also called "ring buffer") +// which is used as down-buffer (H->T) +// +typedef struct { + const char* sName; // Optional name. Standard names so far are: "Terminal", "SysView", "J-Scope_t4i4" + char* pBuffer; // Pointer to start of buffer + unsigned SizeOfBuffer; // Buffer size in bytes. Note that one byte is lost, as this implementation does not fill up the buffer in order to avoid the problem of being unable to distinguish between full and empty. + volatile unsigned WrOff; // Position of next item to be written by host. Must be volatile since it may be modified by host. + unsigned RdOff; // Position of next item to be read by target (down-buffer). + unsigned Flags; // Contains configuration flags. Flags[31:24] are used for validity check and must be zero. Flags[23:2] are reserved for future use. Flags[1:0] = RTT operating mode. +} SEGGER_RTT_BUFFER_DOWN; + +// +// RTT control block which describes the number of buffers available +// as well as the configuration for each buffer +// +// +typedef struct { + char acID[16]; // Initialized to "SEGGER RTT" + int MaxNumUpBuffers; // Initialized to SEGGER_RTT_MAX_NUM_UP_BUFFERS (type. 2) + int MaxNumDownBuffers; // Initialized to SEGGER_RTT_MAX_NUM_DOWN_BUFFERS (type. 2) + SEGGER_RTT_BUFFER_UP aUp[SEGGER_RTT_MAX_NUM_UP_BUFFERS]; // Up buffers, transferring information up from target via debug probe to host + SEGGER_RTT_BUFFER_DOWN aDown[SEGGER_RTT_MAX_NUM_DOWN_BUFFERS]; // Down buffers, transferring information down from host via debug probe to target +#if SEGGER_RTT__CB_PADDING + unsigned char aDummy[SEGGER_RTT__CB_PADDING]; +#endif +} SEGGER_RTT_CB; + +/********************************************************************* +* +* Global data +* +********************************************************************** +*/ +extern SEGGER_RTT_CB _SEGGER_RTT; + +/********************************************************************* +* +* RTT API functions +* +********************************************************************** +*/ +#ifdef __cplusplus + extern "C" { +#endif +int SEGGER_RTT_AllocDownBuffer (const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags); +int SEGGER_RTT_AllocUpBuffer (const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags); +int SEGGER_RTT_ConfigUpBuffer (unsigned BufferIndex, const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags); +int SEGGER_RTT_ConfigDownBuffer (unsigned BufferIndex, const char* sName, void* pBuffer, unsigned BufferSize, unsigned Flags); +int SEGGER_RTT_GetKey (void); +unsigned SEGGER_RTT_HasData (unsigned BufferIndex); +int SEGGER_RTT_HasKey (void); +unsigned SEGGER_RTT_HasDataUp (unsigned BufferIndex); +void SEGGER_RTT_Init (void); +unsigned SEGGER_RTT_Read (unsigned BufferIndex, void* pBuffer, unsigned BufferSize); +unsigned SEGGER_RTT_ReadNoLock (unsigned BufferIndex, void* pData, unsigned BufferSize); +int SEGGER_RTT_SetNameDownBuffer (unsigned BufferIndex, const char* sName); +int SEGGER_RTT_SetNameUpBuffer (unsigned BufferIndex, const char* sName); +int SEGGER_RTT_SetFlagsDownBuffer (unsigned BufferIndex, unsigned Flags); +int SEGGER_RTT_SetFlagsUpBuffer (unsigned BufferIndex, unsigned Flags); +int SEGGER_RTT_WaitKey (void); +unsigned SEGGER_RTT_Write (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_WriteNoLock (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_WriteSkipNoLock (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_ASM_WriteSkipNoLock (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_WriteString (unsigned BufferIndex, const char* s); +void SEGGER_RTT_WriteWithOverwriteNoLock(unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_PutChar (unsigned BufferIndex, char c); +unsigned SEGGER_RTT_PutCharSkip (unsigned BufferIndex, char c); +unsigned SEGGER_RTT_PutCharSkipNoLock (unsigned BufferIndex, char c); +unsigned SEGGER_RTT_GetAvailWriteSpace (unsigned BufferIndex); +unsigned SEGGER_RTT_GetBytesInBuffer (unsigned BufferIndex); +// +// Function macro for performance optimization +// +#define SEGGER_RTT_HASDATA(n) (((SEGGER_RTT_BUFFER_DOWN*)((char*)&_SEGGER_RTT.aDown[n] + SEGGER_RTT_UNCACHED_OFF))->WrOff - ((SEGGER_RTT_BUFFER_DOWN*)((char*)&_SEGGER_RTT.aDown[n] + SEGGER_RTT_UNCACHED_OFF))->RdOff) + +#if RTT_USE_ASM + #define SEGGER_RTT_WriteSkipNoLock SEGGER_RTT_ASM_WriteSkipNoLock +#endif + +/********************************************************************* +* +* RTT transfer functions to send RTT data via other channels. +* +********************************************************************** +*/ +unsigned SEGGER_RTT_ReadUpBuffer (unsigned BufferIndex, void* pBuffer, unsigned BufferSize); +unsigned SEGGER_RTT_ReadUpBufferNoLock (unsigned BufferIndex, void* pData, unsigned BufferSize); +unsigned SEGGER_RTT_WriteDownBuffer (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); +unsigned SEGGER_RTT_WriteDownBufferNoLock (unsigned BufferIndex, const void* pBuffer, unsigned NumBytes); + +#define SEGGER_RTT_HASDATA_UP(n) (((SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[n] + SEGGER_RTT_UNCACHED_OFF))->WrOff - ((SEGGER_RTT_BUFFER_UP*)((char*)&_SEGGER_RTT.aUp[n] + SEGGER_RTT_UNCACHED_OFF))->RdOff) // Access uncached to make sure we see changes made by the J-Link side and all of our changes go into HW directly + +/********************************************************************* +* +* RTT "Terminal" API functions +* +********************************************************************** +*/ +int SEGGER_RTT_SetTerminal (unsigned char TerminalId); +int SEGGER_RTT_TerminalOut (unsigned char TerminalId, const char* s); + +/********************************************************************* +* +* RTT printf functions (require SEGGER_RTT_printf.c) +* +********************************************************************** +*/ +int SEGGER_RTT_printf(unsigned BufferIndex, const char * sFormat, ...); +int SEGGER_RTT_vprintf(unsigned BufferIndex, const char * sFormat, va_list * pParamList); + +#ifdef __cplusplus + } +#endif + +#endif // ifndef(SEGGER_RTT_ASM) + +/********************************************************************* +* +* Defines +* +********************************************************************** +*/ + +// +// Operating modes. Define behavior if buffer is full (not enough space for entire message) +// +#define SEGGER_RTT_MODE_NO_BLOCK_SKIP (0) // Skip. Do not block, output nothing. (Default) +#define SEGGER_RTT_MODE_NO_BLOCK_TRIM (1) // Trim: Do not block, output as much as fits. +#define SEGGER_RTT_MODE_BLOCK_IF_FIFO_FULL (2) // Block: Wait until there is space in the buffer. +#define SEGGER_RTT_MODE_MASK (3) + +// +// Control sequences, based on ANSI. +// Can be used to control color, and clear the screen +// +#define RTT_CTRL_RESET "\x1B[0m" // Reset to default colors +#define RTT_CTRL_CLEAR "\x1B[2J" // Clear screen, reposition cursor to top left + +#define RTT_CTRL_TEXT_BLACK "\x1B[2;30m" +#define RTT_CTRL_TEXT_RED "\x1B[2;31m" +#define RTT_CTRL_TEXT_GREEN "\x1B[2;32m" +#define RTT_CTRL_TEXT_YELLOW "\x1B[2;33m" +#define RTT_CTRL_TEXT_BLUE "\x1B[2;34m" +#define RTT_CTRL_TEXT_MAGENTA "\x1B[2;35m" +#define RTT_CTRL_TEXT_CYAN "\x1B[2;36m" +#define RTT_CTRL_TEXT_WHITE "\x1B[2;37m" + +#define RTT_CTRL_TEXT_BRIGHT_BLACK "\x1B[1;30m" +#define RTT_CTRL_TEXT_BRIGHT_RED "\x1B[1;31m" +#define RTT_CTRL_TEXT_BRIGHT_GREEN "\x1B[1;32m" +#define RTT_CTRL_TEXT_BRIGHT_YELLOW "\x1B[1;33m" +#define RTT_CTRL_TEXT_BRIGHT_BLUE "\x1B[1;34m" +#define RTT_CTRL_TEXT_BRIGHT_MAGENTA "\x1B[1;35m" +#define RTT_CTRL_TEXT_BRIGHT_CYAN "\x1B[1;36m" +#define RTT_CTRL_TEXT_BRIGHT_WHITE "\x1B[1;37m" + +#define RTT_CTRL_BG_BLACK "\x1B[24;40m" +#define RTT_CTRL_BG_RED "\x1B[24;41m" +#define RTT_CTRL_BG_GREEN "\x1B[24;42m" +#define RTT_CTRL_BG_YELLOW "\x1B[24;43m" +#define RTT_CTRL_BG_BLUE "\x1B[24;44m" +#define RTT_CTRL_BG_MAGENTA "\x1B[24;45m" +#define RTT_CTRL_BG_CYAN "\x1B[24;46m" +#define RTT_CTRL_BG_WHITE "\x1B[24;47m" + +#define RTT_CTRL_BG_BRIGHT_BLACK "\x1B[4;40m" +#define RTT_CTRL_BG_BRIGHT_RED "\x1B[4;41m" +#define RTT_CTRL_BG_BRIGHT_GREEN "\x1B[4;42m" +#define RTT_CTRL_BG_BRIGHT_YELLOW "\x1B[4;43m" +#define RTT_CTRL_BG_BRIGHT_BLUE "\x1B[4;44m" +#define RTT_CTRL_BG_BRIGHT_MAGENTA "\x1B[4;45m" +#define RTT_CTRL_BG_BRIGHT_CYAN "\x1B[4;46m" +#define RTT_CTRL_BG_BRIGHT_WHITE "\x1B[4;47m" + + +#endif + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_ASM_ARMv7M.S b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_ASM_ARMv7M.S new file mode 100644 index 0000000..cbbc52f --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_ASM_ARMv7M.S @@ -0,0 +1,242 @@ +/********************************************************************* +* (c) SEGGER Microcontroller GmbH * +* The Embedded Experts * +* www.segger.com * +********************************************************************** + +-------------------------- END-OF-HEADER ----------------------------- + +File : SEGGER_RTT_ASM_ARMv7M.S +Purpose : Assembler implementation of RTT functions for ARMv7M + +Additional information: + This module is written to be assembler-independent and works with + GCC and clang (Embedded Studio) and IAR. +*/ + +#define SEGGER_RTT_ASM // Used to control processed input from header file +#include "SEGGER_RTT.h" + +/********************************************************************* +* +* Defines, fixed +* +********************************************************************** +*/ + +#define _CCIAR 0 +#define _CCCLANG 1 + +#if (defined __SES_ARM) || (defined __GNUC__) || (defined __clang__) + #define _CC_TYPE _CCCLANG + #define _PUB_SYM .global + #define _EXT_SYM .extern + #define _END .end + #define _WEAK .weak + #define _THUMB_FUNC .thumb_func + #define _THUMB_CODE .code 16 + #define _WORD .word + #define _SECTION(Sect, Type, AlignExp) .section Sect ##, "ax" + #define _ALIGN(Exp) .align Exp + #define _PLACE_LITS .ltorg + #define _DATA_SECT_START + #define _C_STARTUP _start + #define _STACK_END __stack_end__ + #define _RAMFUNC + // + // .text => Link to flash + // .fast => Link to RAM + // OtherSect => Usually link to RAM + // Alignment is 2^x + // +#elif defined (__IASMARM__) + #define _CC_TYPE _CCIAR + #define _PUB_SYM PUBLIC + #define _EXT_SYM EXTERN + #define _END END + #define _WEAK _WEAK + #define _THUMB_FUNC + #define _THUMB_CODE THUMB + #define _WORD DCD + #define _SECTION(Sect, Type, AlignExp) SECTION Sect ## : ## Type ## :REORDER:NOROOT ## (AlignExp) + #define _ALIGN(Exp) alignrom Exp + #define _PLACE_LITS + #define _DATA_SECT_START DATA + #define _C_STARTUP __iar_program_start + #define _STACK_END sfe(CSTACK) + #define _RAMFUNC SECTION_TYPE SHT_PROGBITS, SHF_WRITE | SHF_EXECINSTR + // + // .text => Link to flash + // .textrw => Link to RAM + // OtherSect => Usually link to RAM + // NOROOT => Allows linker to throw away the function, if not referenced + // Alignment is 2^x + // +#endif + +#if (_CC_TYPE == _CCIAR) + NAME SEGGER_RTT_ASM_ARMv7M +#else + .syntax unified +#endif + +#if defined (RTT_USE_ASM) && (RTT_USE_ASM == 1) + #define SHT_PROGBITS 0x1 + +/********************************************************************* +* +* Public / external symbols +* +********************************************************************** +*/ + + _EXT_SYM __aeabi_memcpy + _EXT_SYM __aeabi_memcpy4 + _EXT_SYM _SEGGER_RTT + + _PUB_SYM SEGGER_RTT_ASM_WriteSkipNoLock + +/********************************************************************* +* +* SEGGER_RTT_WriteSkipNoLock +* +* Function description +* Stores a specified number of characters in SEGGER RTT +* control block which is then read by the host. +* SEGGER_RTT_WriteSkipNoLock does not lock the application and +* skips all data, if the data does not fit into the buffer. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used (e.g. 0 for "Terminal"). +* pBuffer Pointer to character array. Does not need to point to a \0 terminated string. +* NumBytes Number of bytes to be stored in the SEGGER RTT control block. +* MUST be > 0!!! +* This is done for performance reasons, so no initial check has do be done. +* +* Return value +* 1: Data has been copied +* 0: No space, data has not been copied +* +* Notes +* (1) If there is not enough space in the "Up"-buffer, all data is dropped. +* (2) For performance reasons this function does not call Init() +* and may only be called after RTT has been initialized. +* Either by calling SEGGER_RTT_Init() or calling another RTT API function first. +*/ + _SECTION(.text, CODE, 2) + _ALIGN(2) + _THUMB_FUNC +SEGGER_RTT_ASM_WriteSkipNoLock: // unsigned SEGGER_RTT_WriteSkipNoLock(unsigned BufferIndex, const void* pData, unsigned NumBytes) { + // + // Cases: + // 1) RdOff <= WrOff => Space until wrap-around is sufficient + // 2) RdOff <= WrOff => Space after wrap-around needed (copy in 2 chunks) + // 3) RdOff < WrOff => No space in buf + // 4) RdOff > WrOff => Space is sufficient + // 5) RdOff > WrOff => No space in buf + // + // 1) is the most common case for large buffers and assuming that J-Link reads the data fast enough + // + // Register usage: + // R0 Temporary needed as RdOff, register later on + // R1 pData + // R2 + // R3 register. Hold free for subroutine calls + // R4 + // R5 pRing->pBuffer + // R6 pRing (Points to active struct SEGGER_RTT_BUFFER_DOWN) + // R7 WrOff + // + PUSH {R4-R7} + ADD R3,R0,R0, LSL #+1 + LDR.W R0,=_SEGGER_RTT // pRing = &_SEGGER_RTT.aUp[BufferIndex]; + ADD R0,R0,R3, LSL #+3 + ADD R6,R0,#+24 + LDR R0,[R6, #+16] // RdOff = pRing->RdOff; + LDR R7,[R6, #+12] // WrOff = pRing->WrOff; + LDR R5,[R6, #+4] // pRing->pBuffer + CMP R7,R0 + BCC.N _CheckCase4 // if (RdOff <= WrOff) { => Case 1), 2) or 3) + // + // Handling for case 1, later on identical to case 4 + // + LDR R3,[R6, #+8] // Avail = pRing->SizeOfBuffer - WrOff - 1u; => Space until wrap-around (assume 1 byte not usable for case that RdOff == 0) + SUBS R4,R3,R7 // (Used in case we jump into case 2 afterwards) + SUBS R3,R4,#+1 // + CMP R3,R2 + BCC.N _CheckCase2 // if (Avail >= NumBytes) { => Case 1)? +_Case4: + ADDS R5,R7,R5 // pBuffer += WrOff + ADDS R0,R2,R7 // v = WrOff + NumBytes + // + // 2x unrolling for the copy loop that is used most of the time + // This is a special optimization for small SystemView packets and makes them even faster + // + _ALIGN(2) +_LoopCopyStraight: // memcpy(pRing->pBuffer + WrOff, pData, NumBytes); + LDRB R3,[R1], #+1 + STRB R3,[R5], #+1 // *pDest++ = *pSrc++ + SUBS R2,R2,#+1 + BEQ _CSDone + LDRB R3,[R1], #+1 + STRB R3,[R5], #+1 // *pDest++ = *pSrc++ + SUBS R2,R2,#+1 + BNE _LoopCopyStraight +_CSDone: +#if _CORE_NEEDS_DMB // Do not slow down cores that do not need a DMB instruction here + DMB // Cortex-M7 may delay memory writes and also change the order in which the writes happen. Therefore, make sure that all buffer writes are finished, before updating the in the struct +#endif + STR R0,[R6, #+12] // pRing->WrOff = WrOff + NumBytes; + MOVS R0,#+1 + POP {R4-R7} + BX LR // Return 1 +_CheckCase2: + ADDS R0,R0,R3 // Avail += RdOff; => Space incl. wrap-around + CMP R0,R2 + BCC.N _Case3 // if (Avail >= NumBytes) { => Case 2? => If not, we have case 3) (does not fit) + // + // Handling for case 2 + // + ADDS R0,R7,R5 // v = pRing->pBuffer + WrOff => Do not change pRing->pBuffer here because 2nd chunk needs org. value + SUBS R2,R2,R4 // NumBytes -= Rem; (Rem = pRing->SizeOfBuffer - WrOff; => Space until end of buffer) +_LoopCopyBeforeWrapAround: // memcpy(pRing->pBuffer + WrOff, pData, Rem); => Copy 1st chunk + LDRB R3,[R1], #+1 + STRB R3,[R0], #+1 // *pDest++ = *pSrc++ + SUBS R4,R4,#+1 + BNE _LoopCopyBeforeWrapAround + // + // Special case: First check that assumed RdOff == 0 calculated that last element before wrap-around could not be used + // But 2nd check (considering space until wrap-around and until RdOff) revealed that RdOff is not 0, so we can use the last element + // In this case, we may use a copy straight until buffer end anyway without needing to copy 2 chunks + // Therefore, check if 2nd memcpy is necessary at all + // + ADDS R4,R2,#+0 // Save (needed as counter in loop but must be written to after the loop). Also use this inst to update the flags to skip 2nd loop if possible + BEQ.N _No2ChunkNeeded // if (NumBytes) { +_LoopCopyAfterWrapAround: // memcpy(pRing->pBuffer, pData + Rem, NumBytes); + LDRB R3,[R1], #+1 // pData already points to the next src byte due to copy loop increment before this loop + STRB R3,[R5], #+1 // *pDest++ = *pSrc++ + SUBS R2,R2,#+1 + BNE _LoopCopyAfterWrapAround +_No2ChunkNeeded: +#if _CORE_NEEDS_DMB // Do not slow down cores that do not need a DMB instruction here + DMB // Cortex-M7 may delay memory writes and also change the order in which the writes happen. Therefore, make sure that all buffer writes are finished, before updating the in the struct +#endif + STR R4,[R6, #+12] // pRing->WrOff = NumBytes; => Must be written after copying data because J-Link may read control block asynchronously while writing into buffer + MOVS R0,#+1 + POP {R4-R7} + BX LR // Return 1 +_CheckCase4: + SUBS R0,R0,R7 + SUBS R0,R0,#+1 // Avail = RdOff - WrOff - 1u; + CMP R0,R2 + BCS.N _Case4 // if (Avail >= NumBytes) { => Case 4) == 1) ? => If not, we have case 5) == 3) (does not fit) +_Case3: + MOVS R0,#+0 + POP {R4-R7} + BX LR // Return 0 + _PLACE_LITS + +#endif // defined (RTT_USE_ASM) && (RTT_USE_ASM == 1) + _END + +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_printf.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_printf.c new file mode 100644 index 0000000..da6b61f --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/RTT/SEGGER_RTT_printf.c @@ -0,0 +1,505 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT_printf.c +Purpose : Replacement for printf to write formatted data via RTT +Revision: $Rev: 17697 $ +---------------------------------------------------------------------- +*/ +#include "SEGGER_RTT.h" +#include "SEGGER_RTT_Conf.h" + +/********************************************************************* +* +* Defines, configurable +* +********************************************************************** +*/ + +#ifndef SEGGER_RTT_PRINTF_BUFFER_SIZE + #define SEGGER_RTT_PRINTF_BUFFER_SIZE (64) +#endif + +#include +#include + + +#define FORMAT_FLAG_LEFT_JUSTIFY (1u << 0) +#define FORMAT_FLAG_PAD_ZERO (1u << 1) +#define FORMAT_FLAG_PRINT_SIGN (1u << 2) +#define FORMAT_FLAG_ALTERNATE (1u << 3) + +/********************************************************************* +* +* Types +* +********************************************************************** +*/ + +typedef struct { + char* pBuffer; + unsigned BufferSize; + unsigned Cnt; + + int ReturnValue; + + unsigned RTTBufferIndex; +} SEGGER_RTT_PRINTF_DESC; + +/********************************************************************* +* +* Function prototypes +* +********************************************************************** +*/ + +/********************************************************************* +* +* Static code +* +********************************************************************** +*/ +/********************************************************************* +* +* _StoreChar +*/ +static void _StoreChar(SEGGER_RTT_PRINTF_DESC * p, char c) { + unsigned Cnt; + + Cnt = p->Cnt; + if ((Cnt + 1u) <= p->BufferSize) { + *(p->pBuffer + Cnt) = c; + p->Cnt = Cnt + 1u; + p->ReturnValue++; + } + // + // Write part of string, when the buffer is full + // + if (p->Cnt == p->BufferSize) { + if (SEGGER_RTT_Write(p->RTTBufferIndex, p->pBuffer, p->Cnt) != p->Cnt) { + p->ReturnValue = -1; + } else { + p->Cnt = 0u; + } + } +} + +/********************************************************************* +* +* _PrintUnsigned +*/ +static void _PrintUnsigned(SEGGER_RTT_PRINTF_DESC * pBufferDesc, unsigned v, unsigned Base, unsigned NumDigits, unsigned FieldWidth, unsigned FormatFlags) { + static const char _aV2C[16] = {'0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F' }; + unsigned Div; + unsigned Digit; + unsigned Number; + unsigned Width; + char c; + + Number = v; + Digit = 1u; + // + // Get actual field width + // + Width = 1u; + while (Number >= Base) { + Number = (Number / Base); + Width++; + } + if (NumDigits > Width) { + Width = NumDigits; + } + // + // Print leading chars if necessary + // + if ((FormatFlags & FORMAT_FLAG_LEFT_JUSTIFY) == 0u) { + if (FieldWidth != 0u) { + if (((FormatFlags & FORMAT_FLAG_PAD_ZERO) == FORMAT_FLAG_PAD_ZERO) && (NumDigits == 0u)) { + c = '0'; + } else { + c = ' '; + } + while ((FieldWidth != 0u) && (Width < FieldWidth)) { + FieldWidth--; + _StoreChar(pBufferDesc, c); + if (pBufferDesc->ReturnValue < 0) { + break; + } + } + } + } + if (pBufferDesc->ReturnValue >= 0) { + // + // Compute Digit. + // Loop until Digit has the value of the highest digit required. + // Example: If the output is 345 (Base 10), loop 2 times until Digit is 100. + // + while (1) { + if (NumDigits > 1u) { // User specified a min number of digits to print? => Make sure we loop at least that often, before checking anything else (> 1 check avoids problems with NumDigits being signed / unsigned) + NumDigits--; + } else { + Div = v / Digit; + if (Div < Base) { // Is our divider big enough to extract the highest digit from value? => Done + break; + } + } + Digit *= Base; + } + // + // Output digits + // + do { + Div = v / Digit; + v -= Div * Digit; + _StoreChar(pBufferDesc, _aV2C[Div]); + if (pBufferDesc->ReturnValue < 0) { + break; + } + Digit /= Base; + } while (Digit); + // + // Print trailing spaces if necessary + // + if ((FormatFlags & FORMAT_FLAG_LEFT_JUSTIFY) == FORMAT_FLAG_LEFT_JUSTIFY) { + if (FieldWidth != 0u) { + while ((FieldWidth != 0u) && (Width < FieldWidth)) { + FieldWidth--; + _StoreChar(pBufferDesc, ' '); + if (pBufferDesc->ReturnValue < 0) { + break; + } + } + } + } + } +} + +/********************************************************************* +* +* _PrintInt +*/ +static void _PrintInt(SEGGER_RTT_PRINTF_DESC * pBufferDesc, int v, unsigned Base, unsigned NumDigits, unsigned FieldWidth, unsigned FormatFlags) { + unsigned Width; + int Number; + + Number = (v < 0) ? -v : v; + + // + // Get actual field width + // + Width = 1u; + while (Number >= (int)Base) { + Number = (Number / (int)Base); + Width++; + } + if (NumDigits > Width) { + Width = NumDigits; + } + if ((FieldWidth > 0u) && ((v < 0) || ((FormatFlags & FORMAT_FLAG_PRINT_SIGN) == FORMAT_FLAG_PRINT_SIGN))) { + FieldWidth--; + } + + // + // Print leading spaces if necessary + // + if ((((FormatFlags & FORMAT_FLAG_PAD_ZERO) == 0u) || (NumDigits != 0u)) && ((FormatFlags & FORMAT_FLAG_LEFT_JUSTIFY) == 0u)) { + if (FieldWidth != 0u) { + while ((FieldWidth != 0u) && (Width < FieldWidth)) { + FieldWidth--; + _StoreChar(pBufferDesc, ' '); + if (pBufferDesc->ReturnValue < 0) { + break; + } + } + } + } + // + // Print sign if necessary + // + if (pBufferDesc->ReturnValue >= 0) { + if (v < 0) { + v = -v; + _StoreChar(pBufferDesc, '-'); + } else if ((FormatFlags & FORMAT_FLAG_PRINT_SIGN) == FORMAT_FLAG_PRINT_SIGN) { + _StoreChar(pBufferDesc, '+'); + } else { + + } + if (pBufferDesc->ReturnValue >= 0) { + // + // Print leading zeros if necessary + // + if (((FormatFlags & FORMAT_FLAG_PAD_ZERO) == FORMAT_FLAG_PAD_ZERO) && ((FormatFlags & FORMAT_FLAG_LEFT_JUSTIFY) == 0u) && (NumDigits == 0u)) { + if (FieldWidth != 0u) { + while ((FieldWidth != 0u) && (Width < FieldWidth)) { + FieldWidth--; + _StoreChar(pBufferDesc, '0'); + if (pBufferDesc->ReturnValue < 0) { + break; + } + } + } + } + if (pBufferDesc->ReturnValue >= 0) { + // + // Print number without sign + // + _PrintUnsigned(pBufferDesc, (unsigned)v, Base, NumDigits, FieldWidth, FormatFlags); + } + } + } +} + +/********************************************************************* +* +* Public code +* +********************************************************************** +*/ +/********************************************************************* +* +* SEGGER_RTT_vprintf +* +* Function description +* Stores a formatted string in SEGGER RTT control block. +* This data is read by the host. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used. (e.g. 0 for "Terminal") +* sFormat Pointer to format string +* pParamList Pointer to the list of arguments for the format string +* +* Return values +* >= 0: Number of bytes which have been stored in the "Up"-buffer. +* < 0: Error +*/ +int SEGGER_RTT_vprintf(unsigned BufferIndex, const char * sFormat, va_list * pParamList) { + char c; + SEGGER_RTT_PRINTF_DESC BufferDesc; + int v; + unsigned NumDigits; + unsigned FormatFlags; + unsigned FieldWidth; + char acBuffer[SEGGER_RTT_PRINTF_BUFFER_SIZE]; + + BufferDesc.pBuffer = acBuffer; + BufferDesc.BufferSize = SEGGER_RTT_PRINTF_BUFFER_SIZE; + BufferDesc.Cnt = 0u; + BufferDesc.RTTBufferIndex = BufferIndex; + BufferDesc.ReturnValue = 0; + + do { + c = *sFormat; + sFormat++; + if (c == 0u) { + break; + } + if (c == '%') { + // + // Filter out flags + // + FormatFlags = 0u; + v = 1; + do { + c = *sFormat; + switch (c) { + case '-': FormatFlags |= FORMAT_FLAG_LEFT_JUSTIFY; sFormat++; break; + case '0': FormatFlags |= FORMAT_FLAG_PAD_ZERO; sFormat++; break; + case '+': FormatFlags |= FORMAT_FLAG_PRINT_SIGN; sFormat++; break; + case '#': FormatFlags |= FORMAT_FLAG_ALTERNATE; sFormat++; break; + default: v = 0; break; + } + } while (v); + // + // filter out field with + // + FieldWidth = 0u; + do { + c = *sFormat; + if ((c < '0') || (c > '9')) { + break; + } + sFormat++; + FieldWidth = (FieldWidth * 10u) + ((unsigned)c - '0'); + } while (1); + + // + // Filter out precision (number of digits to display) + // + NumDigits = 0u; + c = *sFormat; + if (c == '.') { + sFormat++; + do { + c = *sFormat; + if ((c < '0') || (c > '9')) { + break; + } + sFormat++; + NumDigits = NumDigits * 10u + ((unsigned)c - '0'); + } while (1); + } + // + // Filter out length modifier + // + c = *sFormat; + do { + if ((c == 'l') || (c == 'h')) { + sFormat++; + c = *sFormat; + } else { + break; + } + } while (1); + // + // Handle specifiers + // + switch (c) { + case 'c': { + char c0; + v = va_arg(*pParamList, int); + c0 = (char)v; + _StoreChar(&BufferDesc, c0); + break; + } + case 'd': + v = va_arg(*pParamList, int); + _PrintInt(&BufferDesc, v, 10u, NumDigits, FieldWidth, FormatFlags); + break; + case 'u': + v = va_arg(*pParamList, int); + _PrintUnsigned(&BufferDesc, (unsigned)v, 10u, NumDigits, FieldWidth, FormatFlags); + break; + case 'x': + case 'X': + v = va_arg(*pParamList, int); + _PrintUnsigned(&BufferDesc, (unsigned)v, 16u, NumDigits, FieldWidth, FormatFlags); + break; + case 's': + { + const char * s = va_arg(*pParamList, const char *); + do { + c = *s; + s++; + if (c == '\0') { + break; + } + _StoreChar(&BufferDesc, c); + } while (BufferDesc.ReturnValue >= 0); + } + break; + case 'p': + v = va_arg(*pParamList, int); + _PrintUnsigned(&BufferDesc, (unsigned)v, 16u, 8u, 8u, 0u); + break; + case '%': + _StoreChar(&BufferDesc, '%'); + break; + default: + break; + } + sFormat++; + } else { + _StoreChar(&BufferDesc, c); + } + } while (BufferDesc.ReturnValue >= 0); + + if (BufferDesc.ReturnValue > 0) { + // + // Write remaining data, if any + // + if (BufferDesc.Cnt != 0u) { + SEGGER_RTT_Write(BufferIndex, acBuffer, BufferDesc.Cnt); + } + BufferDesc.ReturnValue += (int)BufferDesc.Cnt; + } + return BufferDesc.ReturnValue; +} + +/********************************************************************* +* +* SEGGER_RTT_printf +* +* Function description +* Stores a formatted string in SEGGER RTT control block. +* This data is read by the host. +* +* Parameters +* BufferIndex Index of "Up"-buffer to be used. (e.g. 0 for "Terminal") +* sFormat Pointer to format string, followed by the arguments for conversion +* +* Return values +* >= 0: Number of bytes which have been stored in the "Up"-buffer. +* < 0: Error +* +* Notes +* (1) Conversion specifications have following syntax: +* %[flags][FieldWidth][.Precision]ConversionSpecifier +* (2) Supported flags: +* -: Left justify within the field width +* +: Always print sign extension for signed conversions +* 0: Pad with 0 instead of spaces. Ignored when using '-'-flag or precision +* Supported conversion specifiers: +* c: Print the argument as one char +* d: Print the argument as a signed integer +* u: Print the argument as an unsigned integer +* x: Print the argument as an hexadecimal integer +* s: Print the string pointed to by the argument +* p: Print the argument as an 8-digit hexadecimal integer. (Argument shall be a pointer to void.) +*/ +int SEGGER_RTT_printf(unsigned BufferIndex, const char * sFormat, ...) { + int r; + va_list ParamList; + + va_start(ParamList, sFormat); + r = SEGGER_RTT_vprintf(BufferIndex, sFormat, &ParamList); + va_end(ParamList); + return r; +} +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_GCC.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_GCC.c new file mode 100644 index 0000000..0d0cb13 --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_GCC.c @@ -0,0 +1,125 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT_Syscalls_GCC.c +Purpose : Low-level functions for using printf() via RTT in GCC. + To use RTT for printf output, include this file in your + application. +Revision: $Rev: 24316 $ +---------------------------------------------------------------------- +*/ +#if (defined __GNUC__) && !(defined __SES_ARM) && !(defined __CROSSWORKS_ARM) && !(defined __ARMCC_VERSION) && !(defined __CC_ARM) + +#include // required for _write_r +#include "SEGGER_RTT.h" + + +/********************************************************************* +* +* Types +* +********************************************************************** +*/ +// +// If necessary define the _reent struct +// to match the one passed by the used standard library. +// +struct _reent; + +/********************************************************************* +* +* Function prototypes +* +********************************************************************** +*/ +_ssize_t _write (int file, const void *ptr, size_t len); +_ssize_t _write_r(struct _reent *r, int file, const void *ptr, size_t len); + +/********************************************************************* +* +* Global functions +* +********************************************************************** +*/ + +/********************************************************************* +* +* _write() +* +* Function description +* Low-level write function. +* libc subroutines will use this system routine for output to all files, +* including stdout. +* Write data via RTT. +*/ +_ssize_t _write(int file, const void *ptr, size_t len) { + (void) file; /* Not used, avoid warning */ + SEGGER_RTT_Write(0, ptr, len); + return len; +} + +/********************************************************************* +* +* _write_r() +* +* Function description +* Low-level reentrant write function. +* libc subroutines will use this system routine for output to all files, +* including stdout. +* Write data via RTT. +*/ +_ssize_t _write_r(struct _reent *r, int file, const void *ptr, size_t len) { + (void) file; /* Not used, avoid warning */ + (void) r; /* Not used, avoid warning */ + SEGGER_RTT_Write(0, ptr, len); + return len; +} + +#endif +/****** End Of File *************************************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_IAR.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_IAR.c new file mode 100644 index 0000000..067234b --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_IAR.c @@ -0,0 +1,120 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT_Syscalls_IAR.c +Purpose : Low-level functions for using printf() via RTT in IAR. + To use RTT for printf output, include this file in your + application and set the Library Configuration to Normal. +Revision: $Rev: 24316 $ +---------------------------------------------------------------------- +*/ +#ifdef __IAR_SYSTEMS_ICC__ + +// +// Since IAR EWARM V8 and EWRX V4, yfuns.h is considered as deprecated and LowLevelIOInterface.h +// shall be used instead. To not break any compatibility with older compiler versions, we have a +// version check in here. +// +#if ((defined __ICCARM__) && (__VER__ >= 8000000)) || ((defined __ICCRX__) && (__VER__ >= 400)) + #include +#else + #include +#endif + +#include "SEGGER_RTT.h" +#pragma module_name = "?__write" + +/********************************************************************* +* +* Function prototypes +* +********************************************************************** +*/ +size_t __write(int handle, const unsigned char * buffer, size_t size); + +/********************************************************************* +* +* Global functions +* +********************************************************************** +*/ +/********************************************************************* +* +* __write() +* +* Function description +* Low-level write function. +* Standard library subroutines will use this system routine +* for output to all files, including stdout. +* Write data via RTT. +*/ +size_t __write(int handle, const unsigned char * buffer, size_t size) { + (void) handle; /* Not used, avoid warning */ + SEGGER_RTT_Write(0, (const char*)buffer, size); + return size; +} + +/********************************************************************* +* +* __write_buffered() +* +* Function description +* Low-level write function. +* Standard library subroutines will use this system routine +* for output to all files, including stdout. +* Write data via RTT. +*/ +size_t __write_buffered(int handle, const unsigned char * buffer, size_t size) { + (void) handle; /* Not used, avoid warning */ + SEGGER_RTT_Write(0, (const char*)buffer, size); + return size; +} + +#endif +/****** End Of File *************************************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_KEIL.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_KEIL.c new file mode 100644 index 0000000..782f25f --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_KEIL.c @@ -0,0 +1,394 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : RTT_Syscalls_KEIL.c +Purpose : Retargeting module for KEIL MDK-CM3. + Low-level functions for using printf() via RTT +Revision: $Rev: 24316 $ +Notes : (1) https://wiki.segger.com/Keil_MDK-ARM#RTT_in_uVision +---------------------------------------------------------------------- +*/ +#if (defined __CC_ARM) || (defined __ARMCC_VERSION) + +#include +#include +#include +#include +#include + +#include "SEGGER_RTT.h" +/********************************************************************* +* +* #pragmas +* +********************************************************************** +*/ +#if __ARMCC_VERSION < 6000000 +#pragma import(__use_no_semihosting) +#endif + +#ifdef _MICROLIB + #pragma import(__use_full_stdio) +#endif + +/********************************************************************* +* +* Defines non-configurable +* +********************************************************************** +*/ + +/* Standard IO device handles - arbitrary, but any real file system handles must be + less than 0x8000. */ +#define STDIN 0x8001 // Standard Input Stream +#define STDOUT 0x8002 // Standard Output Stream +#define STDERR 0x8003 // Standard Error Stream + +/********************************************************************* +* +* Public const +* +********************************************************************** +*/ +#if __ARMCC_VERSION < 5000000 +//const char __stdin_name[] = "STDIN"; +const char __stdout_name[] = "STDOUT"; +const char __stderr_name[] = "STDERR"; +#endif + +/********************************************************************* +* +* Public code +* +********************************************************************** +*/ + +/********************************************************************* +* +* _ttywrch +* +* Function description: +* Outputs a character to the console +* +* Parameters: +* c - character to output +* +*/ +void _ttywrch(int c) { + fputc(c, stdout); // stdout + fflush(stdout); +} + +/********************************************************************* +* +* _sys_open +* +* Function description: +* Opens the device/file in order to do read/write operations +* +* Parameters: +* sName - sName of the device/file to open +* OpenMode - This parameter is currently ignored +* +* Return value: +* != 0 - Handle to the object to open, otherwise +* == 0 -"device" is not handled by this module +* +*/ +FILEHANDLE _sys_open(const char * sName, int OpenMode) { + (void)OpenMode; + // Register standard Input Output devices. + if (strcmp(sName, __stdout_name) == 0) { + return (STDOUT); + } else if (strcmp(sName, __stderr_name) == 0) { + return (STDERR); + } else + return (0); // Not implemented +} + +/********************************************************************* +* +* _sys_close +* +* Function description: +* Closes the handle to the open device/file +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* +* Return value: +* 0 - device/file closed +* +*/ +int _sys_close(FILEHANDLE hFile) { + (void)hFile; + return 0; // Not implemented +} + +/********************************************************************* +* +* _sys_write +* +* Function description: +* Writes the data to an open handle. +* Currently this function only outputs data to the console +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* pBuffer - Pointer to the data that shall be written +* NumBytes - Number of bytes to write +* Mode - The Mode that shall be used +* +* Return value: +* Number of bytes *not* written to the file/device +* +*/ +int _sys_write(FILEHANDLE hFile, const unsigned char * pBuffer, unsigned NumBytes, int Mode) { + int r = 0; + + (void)Mode; + if (hFile == STDOUT) { + SEGGER_RTT_Write(0, (const char*)pBuffer, NumBytes); + return 0; + } + return r; +} + +/********************************************************************* +* +* _sys_read +* +* Function description: +* Reads data from an open handle. +* Currently this modules does nothing. +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* pBuffer - Pointer to buffer to store the read data +* NumBytes - Number of bytes to read +* Mode - The Mode that shall be used +* +* Return value: +* Number of bytes read from the file/device +* +*/ +int _sys_read(FILEHANDLE hFile, unsigned char * pBuffer, unsigned NumBytes, int Mode) { + (void)hFile; + (void)pBuffer; + (void)NumBytes; + (void)Mode; + return (0); // Not implemented +} + +/********************************************************************* +* +* _sys_istty +* +* Function description: +* This function shall return whether the opened file +* is a console device or not. +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* +* Return value: +* 1 - Device is a console +* 0 - Device is not a console +* +*/ +int _sys_istty(FILEHANDLE hFile) { + if (hFile > 0x8000) { + return (1); + } + return (0); // Not implemented +} + +/********************************************************************* +* +* _sys_seek +* +* Function description: +* Seeks via the file to a specific position +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* Pos - +* +* Return value: +* int - +* +*/ +int _sys_seek(FILEHANDLE hFile, long Pos) { + (void)hFile; + (void)Pos; + return (0); // Not implemented +} + +/********************************************************************* +* +* _sys_ensure +* +* Function description: +* +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* +* Return value: +* int - +* +*/ +int _sys_ensure(FILEHANDLE hFile) { + (void)hFile; + return (-1); // Not implemented +} + +/********************************************************************* +* +* _sys_flen +* +* Function description: +* Returns the length of the opened file handle +* +* Parameters: +* hFile - Handle to a file opened via _sys_open +* +* Return value: +* Length of the file +* +*/ +long _sys_flen(FILEHANDLE hFile) { + (void)hFile; + return (0); // Not implemented +} + +/********************************************************************* +* +* _sys_tmpnam +* +* Function description: +* This function converts the file number fileno for a temporary +* file to a unique filename, for example, tmp0001. +* +* Parameters: +* pBuffer - Pointer to a buffer to store the name +* FileNum - file number to convert +* MaxLen - Size of the buffer +* +* Return value: +* 1 - Error +* 0 - Success +* +*/ +int _sys_tmpnam(char * pBuffer, int FileNum, unsigned MaxLen) { + (void)pBuffer; + (void)FileNum; + (void)MaxLen; + return (1); // Not implemented +} + +/********************************************************************* +* +* _sys_command_string +* +* Function description: +* This function shall execute a system command. +* +* Parameters: +* cmd - Pointer to the command string +* len - Length of the string +* +* Return value: +* == NULL - Command was not successfully executed +* == sCmd - Command was passed successfully +* +*/ +char * _sys_command_string(char * cmd, int len) { + (void)len; + return cmd; // Not implemented +} + +/********************************************************************* +* +* _sys_exit +* +* Function description: +* This function is called when the application returns from main +* +* Parameters: +* ReturnCode - Return code from the main function +* +* +*/ +void _sys_exit(int ReturnCode) { + (void)ReturnCode; + while (1); // Not implemented +} + +#if __ARMCC_VERSION >= 5000000 +/********************************************************************* +* +* stdout_putchar +* +* Function description: +* Put a character to the stdout +* +* Parameters: +* ch - Character to output +* +* +*/ +int stdout_putchar(int ch) { + (void)ch; + return ch; // Not implemented +} +#endif + +#endif +/*************************** End of file ****************************/ diff --git a/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_SES.c b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_SES.c new file mode 100644 index 0000000..057b98d --- /dev/null +++ b/app_cail/mx_log/logRTT/SEGGER_RTT_V782c/Syscalls/SEGGER_RTT_Syscalls_SES.c @@ -0,0 +1,252 @@ +/********************************************************************* +* SEGGER Microcontroller GmbH * +* The Embedded Experts * +********************************************************************** +* * +* (c) 1995 - 2021 SEGGER Microcontroller GmbH * +* * +* www.segger.com Support: support@segger.com * +* * +********************************************************************** +* * +* SEGGER RTT * Real Time Transfer for embedded targets * +* * +********************************************************************** +* * +* All rights reserved. * +* * +* SEGGER strongly recommends to not make any changes * +* to or modify the source code of this software in order to stay * +* compatible with the RTT protocol and J-Link. * +* * +* Redistribution and use in source and binary forms, with or * +* without modification, are permitted provided that the following * +* condition is met: * +* * +* o Redistributions of source code must retain the above copyright * +* notice, this condition and the following disclaimer. * +* * +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND * +* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, * +* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * +* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE * +* DISCLAIMED. IN NO EVENT SHALL SEGGER Microcontroller BE LIABLE FOR * +* ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT * +* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; * +* OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * +* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * +* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE * +* USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH * +* DAMAGE. * +* * +********************************************************************** +* * +* RTT version: 7.82c * +* * +********************************************************************** + +---------------------------END-OF-HEADER------------------------------ +File : SEGGER_RTT_Syscalls_SES.c +Purpose : Reimplementation of printf, puts and __getchar using RTT + in SEGGER Embedded Studio. + To use RTT for printf output, include this file in your + application. +Revision: $Rev: 24316 $ +---------------------------------------------------------------------- +*/ +#if (defined __SES_ARM) || (defined __SES_RISCV) || (defined __CROSSWORKS_ARM) + +#include "SEGGER_RTT.h" +#include +#include +#include "limits.h" +#include "__libc.h" +#include "__vfprintf.h" + +/********************************************************************* +* +* Defines, configurable +* +********************************************************************** +*/ +// +// Select string formatting implementation. +// +// RTT printf formatting +// - Configurable stack usage. (SEGGER_RTT_PRINTF_BUFFER_SIZE in SEGGER_RTT_Conf.h) +// - No maximum string length. +// - Limited conversion specifiers and flags. (See SEGGER_RTT_printf.c) +// Standard library printf formatting +// - Configurable formatting capabilities. +// - Full conversion specifier and flag support. +// - Maximum string length has to be known or (slightly) slower character-wise output. +// +// #define PRINTF_USE_SEGGER_RTT_FORMATTING 0 // Use standard library formatting +// #define PRINTF_USE_SEGGER_RTT_FORMATTING 1 // Use RTT formatting +// +#ifndef PRINTF_USE_SEGGER_RTT_FORMATTING + #define PRINTF_USE_SEGGER_RTT_FORMATTING 0 +#endif +// +// If using standard library formatting, +// select maximum output string buffer size or character-wise output. +// +// #define PRINTF_BUFFER_SIZE 0 // Use character-wise output +// #define PRINTF_BUFFER_SIZE 128 // Default maximum string length +// +#ifndef PRINTF_BUFFER_SIZE + #define PRINTF_BUFFER_SIZE 128 +#endif + +#if PRINTF_USE_SEGGER_RTT_FORMATTING // Use SEGGER RTT formatting implementation +/********************************************************************* +* +* Function prototypes +* +********************************************************************** +*/ +int SEGGER_RTT_vprintf(unsigned BufferIndex, const char * sFormat, va_list * pParamList); + +/********************************************************************* +* +* Global functions, printf +* +********************************************************************** +*/ +/********************************************************************* +* +* printf() +* +* Function description +* print a formatted string using RTT and SEGGER RTT formatting. +*/ +int printf(const char *fmt,...) { + int n; + va_list args; + + va_start (args, fmt); + n = SEGGER_RTT_vprintf(0, fmt, &args); + va_end(args); + return n; +} + +#elif PRINTF_BUFFER_SIZE == 0 // Use standard library formatting with character-wise output + +/********************************************************************* +* +* Static functions +* +********************************************************************** +*/ +static int _putchar(int x, __printf_tag_ptr ctx) { + (void)ctx; + SEGGER_RTT_Write(0, (char *)&x, 1); + return x; +} + +/********************************************************************* +* +* Global functions, printf +* +********************************************************************** +*/ +/********************************************************************* +* +* printf() +* +* Function description +* print a formatted string character-wise, using RTT and standard +* library formatting. +*/ +int printf(const char *fmt, ...) { + int n; + va_list args; + __printf_t iod; + + va_start(args, fmt); + iod.string = 0; + iod.maxchars = INT_MAX; + iod.output_fn = _putchar; + SEGGER_RTT_LOCK(); + n = __vfprintf(&iod, fmt, args); + SEGGER_RTT_UNLOCK(); + va_end(args); + return n; +} + +#else // Use standard library formatting with static buffer + +/********************************************************************* +* +* Global functions, printf +* +********************************************************************** +*/ +/********************************************************************* +* +* printf() +* +* Function description +* print a formatted string using RTT and standard library formatting. +*/ +int printf(const char *fmt,...) { + int n; + char aBuffer[PRINTF_BUFFER_SIZE]; + va_list args; + + va_start (args, fmt); + n = vsnprintf(aBuffer, sizeof(aBuffer), fmt, args); + if (n > (int)sizeof(aBuffer)) { + SEGGER_RTT_Write(0, aBuffer, sizeof(aBuffer)); + } else if (n > 0) { + SEGGER_RTT_Write(0, aBuffer, n); + } + va_end(args); + return n; +} +#endif + +/********************************************************************* +* +* Global functions +* +********************************************************************** +*/ +/********************************************************************* +* +* puts() +* +* Function description +* print a string using RTT. +*/ +int puts(const char *s) { + return SEGGER_RTT_WriteString(0, s); +} + +/********************************************************************* +* +* __putchar() +* +* Function description +* Write one character via RTT. +*/ +int __putchar(int x, __printf_tag_ptr ctx) { + (void)ctx; + SEGGER_RTT_Write(0, (char *)&x, 1); + return x; +} + +/********************************************************************* +* +* __getchar() +* +* Function description +* Wait for and get a character via RTT. +*/ +int __getchar() { + return SEGGER_RTT_WaitKey(); +} + +#endif +/****** End Of File *************************************************/ diff --git a/app_cail/mx_log/logRTT/log_rtt.c b/app_cail/mx_log/logRTT/log_rtt.c new file mode 100644 index 0000000..c88616a --- /dev/null +++ b/app_cail/mx_log/logRTT/log_rtt.c @@ -0,0 +1,66 @@ +/** + * @file log_rtt.c + * @brief Legacy log_rtt compatibility wrapper over mx_log + */ + +#include "log_rtt.h" +#include "mx_log.h" + +#include +#include + +#if MX_LOG_BACKEND_RTT +#include "SEGGER_RTT.h" +#endif + +static mx_log_level_t log_rtt_to_mx_level(log_level_t lvl) +{ + switch (lvl) { + case LOG_LVL_ERROR: + return MX_LOG_LEVEL_ERROR; + case LOG_LVL_WARN: + return MX_LOG_LEVEL_WARN; + case LOG_LVL_INFO: + return MX_LOG_LEVEL_INFO; + case LOG_LVL_DEBUG: + default: + return MX_LOG_LEVEL_DEBUG; + } +} + +void log_rtt_set_level(log_level_t lvl) +{ + mx_log_set_level(log_rtt_to_mx_level(lvl)); +} + +void log_rtt_printf(log_level_t lvl, const char *tag, const char *fmt, ...) +{ + va_list ap; + va_start(ap, fmt); + mx_log_vprintf(log_rtt_to_mx_level(lvl), tag, fmt, ap); + va_end(ap); +} + +void log_hex_frame(const char *tag, const uint8_t *data, uint16_t len) +{ + mx_log_hex_frame(tag, data, len); +} + +void log_rtt_init(void) +{ + mx_log_init(); +} + +#if MX_LOG_BACKEND_RTT +/* Keep legacy printf redirection behavior only when RTT backend is enabled. */ +int fputc(int ch, FILE *f) +{ + (void)f; + { + char c = (char)ch; + SEGGER_RTT_Write(0, &c, 1); + } + return ch; +} +#endif + diff --git a/app_cail/mx_log/logRTT/log_rtt.h b/app_cail/mx_log/logRTT/log_rtt.h new file mode 100644 index 0000000..f554118 --- /dev/null +++ b/app_cail/mx_log/logRTT/log_rtt.h @@ -0,0 +1,20 @@ +#pragma once +#include +#include +typedef enum { + LOG_LVL_ERROR = 0, + LOG_LVL_WARN = 1, + LOG_LVL_INFO = 2, + LOG_LVL_DEBUG = 3, +} log_level_t; + +void log_rtt_set_level(log_level_t lvl); +void log_rtt_printf(log_level_t lvl, const char* tag, const char* fmt, ...); +void log_rtt_init(void); +void log_hex_frame(const char * tag , const uint8_t* data, uint16_t len); + +#define LOGE(tag, fmt, ...) log_rtt_printf(LOG_LVL_ERROR, tag, fmt, ##__VA_ARGS__) +#define LOGW(tag, fmt, ...) log_rtt_printf(LOG_LVL_WARN, tag, fmt, ##__VA_ARGS__) +#define LOGI(tag, fmt, ...) log_rtt_printf(LOG_LVL_INFO, tag, fmt, ##__VA_ARGS__) +#define LOGD(tag, fmt, ...) log_rtt_printf(LOG_LVL_DEBUG, tag, fmt, ##__VA_ARGS__) + diff --git a/app_cail/mx_log/mx_log.c b/app_cail/mx_log/mx_log.c new file mode 100644 index 0000000..ce832e0 --- /dev/null +++ b/app_cail/mx_log/mx_log.c @@ -0,0 +1,192 @@ +#include "mx_log.h" + +#include + +#if MX_LOG_BACKEND_RTT +#include "SEGGER_RTT.h" +#endif + +#ifndef MX_LOG_LINE_BUF_SIZE +#define MX_LOG_LINE_BUF_SIZE 256U +#endif + +#ifndef MX_LOG_DEFAULT_LEVEL +#define MX_LOG_DEFAULT_LEVEL MX_LOG_LEVEL_DEBUG +#endif + +static volatile mx_log_level_t s_log_level = MX_LOG_DEFAULT_LEVEL; +static mx_log_writer_t s_log_writer = 0; +static uint8_t s_log_inited = 0U; + +static const char *mx_log_level_to_str(mx_log_level_t level) +{ + switch (level) { + case MX_LOG_LEVEL_ERROR: + return "E"; + case MX_LOG_LEVEL_WARN: + return "W"; + case MX_LOG_LEVEL_INFO: + return "I"; + case MX_LOG_LEVEL_DEBUG: + default: + return "D"; + } +} + +static size_t mx_log_strnlen(const char *s, size_t maxlen) +{ + size_t len = 0U; + if (s == 0) { + return 0U; + } + while ((len < maxlen) && (s[len] != '\0')) { + len++; + } + return len; +} + +static void mx_log_output_line(const char *line) +{ + if (line == 0) { + return; + } + + if (s_log_writer != 0) { + s_log_writer(line); + return; + } + +#if MX_LOG_BACKEND_RTT + SEGGER_RTT_WriteString(0, line); +#elif MX_LOG_BACKEND_STDIO + (void)fputs(line, stdout); +#else + (void)line; +#endif +} + +void mx_log_init(void) +{ + if (s_log_inited) { + return; + } + +#if MX_LOG_BACKEND_RTT + SEGGER_RTT_Init(); + SEGGER_RTT_SetTerminal(0); +#endif + + s_log_inited = 1U; +} + +void mx_log_set_level(mx_log_level_t level) +{ + s_log_level = level; +} + +mx_log_level_t mx_log_get_level(void) +{ + return s_log_level; +} + +void mx_log_set_writer(mx_log_writer_t writer) +{ + s_log_writer = writer; +} + +void mx_log_vprintf(mx_log_level_t level, const char *tag, const char *fmt, va_list ap) +{ + char line[MX_LOG_LINE_BUF_SIZE]; + int prefix_len; + int payload_len; + size_t line_len; + + if ((fmt == 0) || (level > s_log_level)) { + return; + } + + if (!MX_LOG_ENABLE) { + return; + } + + if (!s_log_inited) { + mx_log_init(); + } + + prefix_len = snprintf(line, + sizeof(line), + "[%s][%s] ", + mx_log_level_to_str(level), + (tag != 0) ? tag : ""); + if (prefix_len < 0) { + return; + } + if ((size_t)prefix_len >= sizeof(line)) { + line[sizeof(line) - 1U] = '\0'; + mx_log_output_line(line); + return; + } + + payload_len = vsnprintf(line + prefix_len, sizeof(line) - (size_t)prefix_len, fmt, ap); + (void)payload_len; + + line_len = mx_log_strnlen(line, sizeof(line)); + if ((line_len + 2U) < sizeof(line)) { + line[line_len++] = '\r'; + line[line_len++] = '\n'; + line[line_len] = '\0'; + } else { + line[sizeof(line) - 1U] = '\0'; + } + + mx_log_output_line(line); +} + +void mx_log_printf(mx_log_level_t level, const char *tag, const char *fmt, ...) +{ + va_list ap; + va_start(ap, fmt); + mx_log_vprintf(level, tag, fmt, ap); + va_end(ap); +} + +void mx_log_hex_frame(const char *tag, const uint8_t *data, uint16_t len) +{ + static const char hex[] = "0123456789ABCDEF"; + char line[(32U * 3U) + 1U]; + uint16_t i = 0U; + + if ((data == 0) || (len == 0U)) { + return; + } + + while (i < len) { + uint16_t chunk = (uint16_t)(len - i); + uint16_t pos = 0U; + uint16_t j; + + if (chunk > 32U) { + chunk = 32U; + } + + for (j = 0U; j < chunk; j++) { + uint8_t v = data[(uint16_t)(i + j)]; + line[pos++] = hex[(v >> 4) & 0x0FU]; + line[pos++] = hex[v & 0x0FU]; + line[pos++] = ' '; + } + + if (pos > 0U) { + line[pos - 1U] = '\0'; + } else { + line[0] = '\0'; + } + + MX_LOGD((tag != 0) ? tag : "HEX", "%s", line); + i = (uint16_t)(i + chunk); + } +} + + + + diff --git a/app_cail/mx_log/mx_log.h b/app_cail/mx_log/mx_log.h new file mode 100644 index 0000000..268f5f5 --- /dev/null +++ b/app_cail/mx_log/mx_log.h @@ -0,0 +1,101 @@ +#ifndef __MX_LOG_H +#define __MX_LOG_H + +#include +#include + +#ifndef MX_LOG_ENABLE +#define MX_LOG_ENABLE 0U +#endif + +/* Optional backends (choose at compile time): + * - MX_LOG_BACKEND_STDIO: prints via printf/fputs (default: 1) + * - MX_LOG_BACKEND_RTT : prints via SEGGER RTT (default: 0) + * - MX_LOG_SET_WRITER() : user provided output callback + */ +#ifndef MX_LOG_BACKEND_STDIO +#define MX_LOG_BACKEND_STDIO 0U +#endif + +#ifndef MX_LOG_BACKEND_RTT +#define MX_LOG_BACKEND_RTT 0U +#endif + +typedef enum { + MX_LOG_LEVEL_ERROR = 0, + MX_LOG_LEVEL_WARN = 1, + MX_LOG_LEVEL_INFO = 2, + MX_LOG_LEVEL_DEBUG = 3 +} mx_log_level_t; + +typedef void (*mx_log_writer_t)(const char *msg); + +void mx_log_init(void); +void mx_log_set_level(mx_log_level_t level); +mx_log_level_t mx_log_get_level(void); +void mx_log_set_writer(mx_log_writer_t writer); +void mx_log_printf(mx_log_level_t level, const char *tag, const char *fmt, ...); +void mx_log_vprintf(mx_log_level_t level, const char *tag, const char *fmt, va_list ap); +void mx_log_hex_frame(const char *tag, const uint8_t *data, uint16_t len); + +#if MX_LOG_ENABLE +#define MX_LOGD(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_DEBUG, (tag), (fmt), ##__VA_ARGS__) +#define MX_LOGI(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_INFO, (tag), (fmt), ##__VA_ARGS__) +#define MX_LOGW(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_WARN, (tag), (fmt), ##__VA_ARGS__) +#define MX_LOGE(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_ERROR, (tag), (fmt), ##__VA_ARGS__) +#else +#define MX_LOGD(tag, fmt, ...) ((void)0) +#define MX_LOGI(tag, fmt, ...) ((void)0) +#define MX_LOGW(tag, fmt, ...) ((void)0) +#define MX_LOGE(tag, fmt, ...) ((void)0) +#endif + +#ifndef APP_CALI_LOG_ENABLE +#define APP_CALI_LOG_ENABLE MX_LOG_ENABLE +#endif + +#ifndef FLASH_PORT_LOG_ENABLE +#define FLASH_PORT_LOG_ENABLE MX_LOG_ENABLE +#endif + +#ifndef MOZEN_LOG_ENABLE +#define MOZEN_LOG_ENABLE MX_LOG_ENABLE +#endif + +#if APP_CALI_LOG_ENABLE && MX_LOG_ENABLE +#define APP_CALI_LOGD(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_DEBUG, (tag), (fmt), ##__VA_ARGS__) +#define APP_CALI_LOGI(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_INFO, (tag), (fmt), ##__VA_ARGS__) +#define APP_CALI_LOGW(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_WARN, (tag), (fmt), ##__VA_ARGS__) +#define APP_CALI_LOGE(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_ERROR, (tag), (fmt), ##__VA_ARGS__) +#else +#define APP_CALI_LOGD(tag, fmt, ...) ((void)0) +#define APP_CALI_LOGI(tag, fmt, ...) ((void)0) +#define APP_CALI_LOGW(tag, fmt, ...) ((void)0) +#define APP_CALI_LOGE(tag, fmt, ...) ((void)0) +#endif + +#if FLASH_PORT_LOG_ENABLE && MX_LOG_ENABLE +#define FLASH_PORT_LOGD(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_DEBUG, (tag), (fmt), ##__VA_ARGS__) +#define FLASH_PORT_LOGI(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_INFO, (tag), (fmt), ##__VA_ARGS__) +#define FLASH_PORT_LOGW(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_WARN, (tag), (fmt), ##__VA_ARGS__) +#define FLASH_PORT_LOGE(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_ERROR, (tag), (fmt), ##__VA_ARGS__) +#else +#define FLASH_PORT_LOGD(tag, fmt, ...) ((void)0) +#define FLASH_PORT_LOGI(tag, fmt, ...) ((void)0) +#define FLASH_PORT_LOGW(tag, fmt, ...) ((void)0) +#define FLASH_PORT_LOGE(tag, fmt, ...) ((void)0) +#endif + +#if MOZEN_LOG_ENABLE && MX_LOG_ENABLE +#define MOZEN_LOGD(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_DEBUG, (tag), (fmt), ##__VA_ARGS__) +#define MOZEN_LOGI(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_INFO, (tag), (fmt), ##__VA_ARGS__) +#define MOZEN_LOGW(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_WARN, (tag), (fmt), ##__VA_ARGS__) +#define MOZEN_LOGE(tag, fmt, ...) mx_log_printf(MX_LOG_LEVEL_ERROR, (tag), (fmt), ##__VA_ARGS__) +#else +#define MOZEN_LOGD(tag, fmt, ...) ((void)0) +#define MOZEN_LOGI(tag, fmt, ...) ((void)0) +#define MOZEN_LOGW(tag, fmt, ...) ((void)0) +#define MOZEN_LOGE(tag, fmt, ...) ((void)0) +#endif + +#endif /* __MX_LOG_H */ diff --git a/app_cail/port/bsp_fmc_flash.c b/app_cail/port/bsp_fmc_flash.c new file mode 100644 index 0000000..88e2a13 --- /dev/null +++ b/app_cail/port/bsp_fmc_flash.c @@ -0,0 +1,172 @@ +#include "bsp_fmc_flash.h" +#include +#include + +/* 这个文件默认是根据GD32F303 实现的flash 操作接口函数，所以移植的时候，需要根据项目自行实现芯片平台相关的fmc 外设操作函数，只需要替换实现以下函数的函数体： + bsp_flash_read + bsp_flash_write + bsp_flash_is_erased + bsp_flash_erased + 其他不需要动 +*/ + +#include "at32a423.h" // Device header + + +#define BSP_FLASH_BANK_FLAGS ((fmc_flag_enum)(FMC_FLAG_PGAERR | FMC_FLAG_WPERR | \ + FMC_FLAG_END | FMC_FLAG_PGERR )) +#define BSP_FLASH_SN_SIZE 16U + +static const bsp_flash_info_t s_bsp_flash_info = +{ + BSP_FLASH_PAGE_SIZE, + BSP_FLASH_PROGRAM_UNIT, + BSP_FLASH_ERASE_VALUE, +}; + +static uint32_t bsp_flash_align_down(uint32_t value, uint32_t align) +{ + return value & ~(align - 1U); +} + +static uint32_t bsp_flash_align_up(uint32_t value, uint32_t align) +{ + return (value + align - 1U) & ~(align - 1U); +} + +static void bsp_flash_clear_flags(void) +{ + fmc_flag_clear(BSP_FLASH_BANK_FLAGS); +} + +static uint8_t bsp_flash_pack_word(const uint8_t *src, uint32_t size, uint32_t *word_out) +{ + uint8_t bytes[BSP_FLASH_PROGRAM_UNIT] = { BSP_FLASH_ERASE_VALUE, BSP_FLASH_ERASE_VALUE, + BSP_FLASH_ERASE_VALUE, BSP_FLASH_ERASE_VALUE }; + + if ((word_out == 0) || ((src == 0) && (size > 0U))) { + return 0; + } + + if (size > BSP_FLASH_PROGRAM_UNIT) { + size = BSP_FLASH_PROGRAM_UNIT; + } + + if (size > 0U) { + memcpy(bytes, src, size); + } + + *word_out = ((uint32_t)bytes[0]) | + ((uint32_t)bytes[1] << 8) | + ((uint32_t)bytes[2] << 16) | + ((uint32_t)bytes[3] << 24); + return 1; +} + +const bsp_flash_info_t *bsp_flash_get_info(void) +{ + return &s_bsp_flash_info; +} + +uint8_t bsp_flash_read(uint32_t addr, void *buffer, uint32_t size) +{ + if ((buffer == 0) && (size > 0U)) { + return 0; + } + + if (size > 0U) { + memcpy(buffer, (const void *)addr, size); + } + + return 1; +} + +uint8_t bsp_flash_is_erased(uint32_t addr, uint32_t size) +{ + const uint8_t *flash_ptr = (const uint8_t *)addr; + uint32_t i; + + for (i = 0U; i < size; i++) { + if (flash_ptr[i] != BSP_FLASH_ERASE_VALUE) { + return 0; + } + } + + return 1; +} + +uint8_t bsp_flash_erased(uint32_t addr, uint32_t size) +{ + uint32_t erase_addr; + uint32_t erase_end; + + if (size == 0U) { + return 1; + } + + erase_addr = bsp_flash_align_down(addr, BSP_FLASH_PAGE_SIZE); + erase_end = bsp_flash_align_up(addr + size, BSP_FLASH_PAGE_SIZE); + + fmc_unlock(); + bsp_flash_clear_flags(); + + while (erase_addr < erase_end) { + if (fmc_page_erase(erase_addr) != FMC_READY) { + fmc_lock(); + return 0; + } + erase_addr += BSP_FLASH_PAGE_SIZE; + bsp_flash_clear_flags(); + } + + fmc_lock(); + return 1; +} + +uint8_t bsp_flash_write(uint32_t addr, const void *data, uint32_t size) +{ + const uint8_t *src = (const uint8_t *)data; + uint32_t offset = 0U; + uint32_t word = 0U; + uint32_t chunk_size; + + if ((addr % BSP_FLASH_PROGRAM_UNIT) != 0U) { + return 0; + } + + if ((data == 0) && (size > 0U)) { + return 0; + } + + if (size == 0U) { + return 1; + } + + fmc_unlock(); + bsp_flash_clear_flags(); + + while (offset < size) + { + chunk_size = size - offset; + if (chunk_size > BSP_FLASH_PROGRAM_UNIT) { + chunk_size = BSP_FLASH_PROGRAM_UNIT; + } + + if (!bsp_flash_pack_word(src + offset, chunk_size, &word)) { + fmc_lock(); + return 0; + } + + if (fmc_word_program(addr + offset, word) != FMC_READY) { + fmc_lock(); + return 0; + } + + offset += BSP_FLASH_PROGRAM_UNIT; + bsp_flash_clear_flags(); + } + + fmc_lock(); + return 1; +} + diff --git a/app_cail/port/bsp_fmc_flash.h b/app_cail/port/bsp_fmc_flash.h new file mode 100644 index 0000000..2cf2e42 --- /dev/null +++ b/app_cail/port/bsp_fmc_flash.h @@ -0,0 +1,28 @@ +#ifndef BSP_FMC_FLASH_H +#define BSP_FMC_FLASH_H + +#include +#include + + +#define BSP_FLASH_PAGE_SIZE ((uint32_t)0x400U) // 1KB per page +#define BSP_FLASH_PROGRAM_UNIT ((uint32_t)4U) // 4 bytes per program unit (word) +#define BSP_FLASH_ERASE_VALUE ((uint8_t)0xFFU) // Value of erased flash bytes + + +typedef struct +{ + uint32_t page_size; + uint32_t program_unit; + uint8_t erased_value; +} bsp_flash_info_t; + +const bsp_flash_info_t *bsp_flash_get_info(void); +uint8_t bsp_flash_read(uint32_t addr, void *buffer, uint32_t size); +uint8_t bsp_flash_erased(uint32_t addr, uint32_t size); +uint8_t bsp_flash_write(uint32_t addr, const void *data, uint32_t size); +uint8_t bsp_flash_is_erased(uint32_t addr, uint32_t size); + + + +#endif /* BSP_FMC_FLASH_H */ diff --git a/app_cail/port/flash_port.c b/app_cail/port/flash_port.c new file mode 100644 index 0000000..45454f3 --- /dev/null +++ b/app_cail/port/flash_port.c @@ -0,0 +1,393 @@ +#include "flash_port.h" +#include +#include "mx_log.h" + +#undef MX_LOGD +#undef MX_LOGI +#undef MX_LOGW +#undef MX_LOGE +#define MX_LOGD FLASH_PORT_LOGD +#define MX_LOGI FLASH_PORT_LOGI +#define MX_LOGW FLASH_PORT_LOGW +#define MX_LOGE FLASH_PORT_LOGE + +#define FLASH_PORT_TAG FLASH_PORT_LOG_TAG + +#define FLASH_PORT_ERASE_PROBE_BYTES 8U +#define FLASH_PORT_VERIFY_CHUNK_BYTES 64U + +static flash_port_ops_t s_flash_ops = {0}; + +void flash_port_init(const flash_port_ops_t *ops) +{ + if (ops != NULL) { + s_flash_ops = *ops; + } +} + +static uint8_t hal_read(uint32_t addr, void *buf, uint32_t len) +{ + if (s_flash_ops.read) { + return s_flash_ops.read(addr, buf, len/2); + } + return 0; +} + +static uint8_t hal_write(uint32_t addr, const void *buf, uint32_t len) +{ + if (s_flash_ops.write) { + return s_flash_ops.write(addr, buf, len); + } + return 0; +} + +static uint8_t hal_erase(uint32_t addr, uint32_t len) +{ + if (s_flash_ops.erase) { + return s_flash_ops.erase(addr, len); + } + return 0; +} + +static uint8_t hal_is_erased(uint32_t addr, uint32_t len) +{ + if (s_flash_ops.is_erased) { + return s_flash_ops.is_erased(addr, len); + } + return 0; +} + +static uint32_t flash_port_min_u32(uint32_t a, uint32_t b) +{ + return (a < b) ? a : b; +} + +static uint8_t flash_port_addr_is_erased(uint32_t addr, uint32_t bytes) +{ + uint32_t probe_bytes = flash_port_min_u32(bytes, FLASH_PORT_ERASE_PROBE_BYTES); + + if (probe_bytes == 0U) + { + probe_bytes = FLASH_PORT_ERASE_PROBE_BYTES; + } + + return hal_is_erased(addr, probe_bytes); +} + +static uint8_t flash_port_erase_range(uint32_t start_addr, uint32_t bytes) +{ + if (!hal_erase(start_addr, bytes)) + { + return 0; + } + + return flash_port_addr_is_erased(start_addr, bytes); +} + +static uint8_t flash_port_verify_bytes(uint32_t addr, const void *expect, uint32_t bytes) +{ + uint8_t verify_buf[FLASH_PORT_VERIFY_CHUNK_BYTES]; + const uint8_t *expect_bytes = (const uint8_t *)expect; + uint32_t offset = 0U; + + if ((expect == NULL) && (bytes > 0U)) + { + return 0; + } + + while (offset < bytes) + { + uint32_t chunk = flash_port_min_u32(bytes - offset, FLASH_PORT_VERIFY_CHUNK_BYTES); + + if (!hal_read(addr + offset, verify_buf, chunk)) { + MX_LOGE(FLASH_PORT_TAG, "verify read failed addr=0x%08X offset=%u", + (unsigned int)addr, (unsigned int)offset); + return 0; + } + + if (memcmp(verify_buf, expect_bytes + offset, chunk) != 0) { + MX_LOGE(FLASH_PORT_TAG, "verify failed addr=0x%08X offset=%u", + (unsigned int)addr, (unsigned int)offset); + return 0; + } + + offset += chunk; + } + + return 1; +} + +static uint8_t flash_port_load_cali_raw(app_math_cali_t *params) +{ + if (params == NULL) { + MX_LOGE(FLASH_PORT_TAG, "load cali raw null params"); + return 0; + } + + if (sizeof(app_math_cali_t) > FLASH_PORT_CALI_REGION_SIZE) { + MX_LOGE(FLASH_PORT_TAG, "cali region too small: need=%u size=%u", + (unsigned int)sizeof(app_math_cali_t), (unsigned int)FLASH_PORT_CALI_REGION_SIZE); + return 0; + } + + return hal_read(FLASH_PORT_CALI_REGION_ADDR, params, sizeof(app_math_cali_t)); +} + +static uint8_t flash_port_store_cali_raw(const app_math_cali_t *params) +{ + if (params == NULL) + { + MX_LOGE(FLASH_PORT_TAG, "store cali raw null params"); + return 0; + } + + if (sizeof(app_math_cali_t) > FLASH_PORT_CALI_REGION_SIZE) { + MX_LOGE(FLASH_PORT_TAG, "cali region too small: need=%u size=%u", + (unsigned int)sizeof(app_math_cali_t), (unsigned int)FLASH_PORT_CALI_REGION_SIZE); + return 0; + } + + if (!flash_port_erase_range(FLASH_PORT_CALI_REGION_ADDR, FLASH_PORT_CALI_REGION_SIZE)) { + MX_LOGE(FLASH_PORT_TAG, "erase cali region failed"); + return 0; + } + + if (!hal_write(FLASH_PORT_CALI_REGION_ADDR, params, sizeof(app_math_cali_t))) { + MX_LOGE(FLASH_PORT_TAG, "write cali raw failed"); + return 0; + } + + return flash_port_verify_bytes(FLASH_PORT_CALI_REGION_ADDR, params, sizeof(app_math_cali_t)); +} + +uint8_t flash_port_math_load(app_math_cali_t *params) +{ + if (!flash_port_load_cali_raw(params)) + { + return 0; + } + + if ((params->min_trigger_res_value == 0xFFFFU) && + (params->max_trigger_res_value == 0xFFFFU) && + (params->div_trigger_res_value == 0xFFFFU) && + (params->max_display_value == 0xFFFFU)) { + MX_LOGW(FLASH_PORT_TAG, "math area is empty"); + return 0; + } + + return 1; +} + +uint8_t flash_port_math_save(const app_math_cali_t *params) +{ + app_math_cali_t merged = {0}; + + if (params == NULL) + { + MX_LOGE(FLASH_PORT_TAG, "math save null params"); + return 0; + } + + (void)flash_port_load_cali_raw(&merged); + merged.check_cail = params->check_cail; + merged.min_trigger_res_value = params->min_trigger_res_value; + merged.max_trigger_res_value = params->max_trigger_res_value; + merged.div_trigger_res_value = params->div_trigger_res_value; + merged.max_display_value = params->max_display_value; + merged.sensor_data_type = params->sensor_data_type; + return flash_port_store_cali_raw(&merged); +} + +uint8_t flash_port_math_clear(void) +{ + if (!flash_port_erase_range(FLASH_PORT_CALI_REGION_ADDR, FLASH_PORT_CALI_REGION_SIZE)) { + MX_LOGE(FLASH_PORT_TAG, "math clear erase failed"); + return 0; + } + + return 1; +} + +uint8_t flash_port_pressure_load(app_math_cali_t *params) +{ + if (!flash_port_load_cali_raw(params)) { + return 0; + } + + if ((params->num_points == 0xFFFFU) || (params->num_points > MAX_PRESSURE_POINTS)) { + MX_LOGW(FLASH_PORT_TAG, "invalid pressure points=%u", (unsigned int)params->num_points); + return 0; + } + + return 1; +} + +uint8_t flash_port_pressure_save(const app_math_cali_t *params) +{ + app_math_cali_t merged = {0}; + + if ((params == NULL) || (params->num_points > MAX_PRESSURE_POINTS)) { + MX_LOGE(FLASH_PORT_TAG, "pressure save invalid params, num_points=%u", + (unsigned int)(params ? params->num_points : 0U)); + return 0; + } + + (void)flash_port_load_cali_raw(&merged); + merged.num_points = params->num_points; + memcpy(merged.pressure_points, params->pressure_points, sizeof(merged.pressure_points)); + + return flash_port_store_cali_raw(&merged); +} + +uint8_t flash_port_pressure_clear(void) +{ + app_math_cali_t merged = {0}; + + (void)flash_port_load_cali_raw(&merged); + merged.num_points = 0U; + memset(merged.pressure_points, 0, sizeof(merged.pressure_points)); + + return flash_port_store_cali_raw(&merged); +} + +uint8_t flash_port_map_load(uint16_t *map_matrix, uint32_t map_words) +{ + uint32_t map_bytes = map_words * sizeof(uint16_t); + + if ((map_matrix == NULL) || (map_words != FLASH_PORT_MAP_WORDS)) { + MX_LOGE(FLASH_PORT_TAG, "map load bad arg, words=%u", (unsigned int)map_words); + return 0; + } + + if (map_bytes > FLASH_PORT_MAP_REGION_SIZE) { + MX_LOGE(FLASH_PORT_TAG, "map region too small: need=%u size=%u", + (unsigned int)map_bytes, (unsigned int)FLASH_PORT_MAP_REGION_SIZE); + return 0; + } + + if (flash_port_addr_is_erased(FLASH_PORT_MAP_REGION_ADDR, map_bytes)) { + MX_LOGW(FLASH_PORT_TAG, "map area is empty"); + return 0; + } + + return hal_read(FLASH_PORT_MAP_REGION_ADDR, map_matrix, map_bytes); +} + +uint8_t flash_port_map_save(const uint16_t *map_matrix, uint32_t map_words) +{ + uint32_t map_bytes = map_words * sizeof(uint16_t); + + if ((map_matrix == NULL) || (map_words != FLASH_PORT_MAP_WORDS)) { + MX_LOGE(FLASH_PORT_TAG, "map save bad arg, words=%u", (unsigned int)map_words); + return 0; + } + + if (map_bytes > FLASH_PORT_MAP_REGION_SIZE) { + MX_LOGE(FLASH_PORT_TAG, "map region too small: need=%u size=%u", + (unsigned int)map_bytes, (unsigned int)FLASH_PORT_MAP_REGION_SIZE); + return 0; + } + + if (!flash_port_erase_range(FLASH_PORT_MAP_REGION_ADDR, FLASH_PORT_MAP_REGION_SIZE)) { + MX_LOGE(FLASH_PORT_TAG, "map erase failed"); + return 0; + } + + if (!hal_write(FLASH_PORT_MAP_REGION_ADDR, map_matrix, map_bytes)) { + MX_LOGE(FLASH_PORT_TAG, "map write failed"); + return 0; + } + + return flash_port_verify_bytes(FLASH_PORT_MAP_REGION_ADDR, map_matrix, map_bytes); +} + +uint8_t flash_port_map_clear(void) +{ + if (!flash_port_erase_range(FLASH_PORT_MAP_REGION_ADDR, FLASH_PORT_MAP_REGION_SIZE)) { + MX_LOGE(FLASH_PORT_TAG, "map clear erase failed"); + return 0; + } + + return 1; +} + +uint8_t flash_port_creep_load(app_creep_params *params) +{ + uint32_t raw_data[2]; + + if (params == NULL) { + return 0; + } + + if (!hal_read(FLASH_PORT_CREEP_REGION_ADDR, raw_data, sizeof(raw_data))) { + return 0; + } + + if ((raw_data[0] == 0xFFFFFFFFUL) && (raw_data[1] == 0xFFFFFFFFUL)) { + return 0; + } + + params->creep_strength = (uint8_t)raw_data[0]; + params->creep_level = (uint8_t)raw_data[1]; + return 1; +} + +uint8_t flash_port_creep_save(const app_creep_params *params) +{ + uint32_t raw_data[2]; + + if (params == NULL) { + return 0; + } + + raw_data[0] = (uint32_t)params->creep_strength; + raw_data[1] = (uint32_t)params->creep_level; + + if (!flash_port_erase_range(FLASH_PORT_CREEP_REGION_ADDR, FLASH_PORT_CREEP_REGION_SIZE)) { + return 0; + } + + if (!hal_write(FLASH_PORT_CREEP_REGION_ADDR, raw_data, sizeof(raw_data))) { + return 0; + } + + return flash_port_verify_bytes(FLASH_PORT_CREEP_REGION_ADDR, raw_data, sizeof(raw_data)); +} + +uint8_t flash_port_creep_clear(void) +{ + if (!flash_port_erase_range(FLASH_PORT_CREEP_REGION_ADDR, FLASH_PORT_CREEP_REGION_SIZE)) { + return 0; + } + return 1; +} + +uint8_t flash_port_device_info_load(app_dev_info *info) +{ + if (info == NULL) { + return 0; + } + + if (flash_port_addr_is_erased(FLASH_PORT_DEVICE_INFO_REGION_ADDR, sizeof(*info))) { + return 0; + } + + return hal_read(FLASH_PORT_DEVICE_INFO_REGION_ADDR, info, sizeof(*info)); +} + +uint8_t flash_port_device_info_save(const app_dev_info *info) +{ + if (info == NULL) { + return 0; + } + + if (!flash_port_erase_range(FLASH_PORT_DEVICE_INFO_REGION_ADDR, FLASH_PORT_DEVICE_INFO_REGION_SIZE)) { + return 0; + } + + if (!hal_write(FLASH_PORT_DEVICE_INFO_REGION_ADDR, info, sizeof(*info))) { + return 0; + } + + return flash_port_verify_bytes(FLASH_PORT_DEVICE_INFO_REGION_ADDR, info, sizeof(*info)); +} diff --git a/app_cail/port/flash_port.h b/app_cail/port/flash_port.h new file mode 100644 index 0000000..b2d6d4f --- /dev/null +++ b/app_cail/port/flash_port.h @@ -0,0 +1,82 @@ +#ifndef __FLASH_PORT_H +#define __FLASH_PORT_H + +#include + +#include "app_calibration.h" + +#ifndef FLASH_PORT_LOG_TAG +#define FLASH_PORT_LOG_TAG "FLASH_PORT" +#endif + +/* + * Flash Region Configuration + * Adjust Sector Size and Base Addresses for your specific MCU. + */ +#ifndef PORT_SECTOR_SIZE +#define PORT_SECTOR_SIZE (2048U) // Target MCU Sector Size +#endif + +#ifndef FLASH_PORT_CREEP_REGION +#define FLASH_PORT_CREEP_REGION_ADDR (0x08000000 + 1024 * 58) +#define FLASH_PORT_CREEP_REGION_SIZE PORT_SECTOR_SIZE +#endif + +#ifndef FLASH_PORT_DEVICE_INFO_REGION +#define FLASH_PORT_DEVICE_INFO_REGION_ADDR (0x08000000 + 1024 * 60) +#define FLASH_PORT_DEVICE_INFO_REGION_SIZE PORT_SECTOR_SIZE +#endif + +#ifndef FLASH_PORT_CALI_REGION +#define FLASH_PORT_CALI_REGION_ADDR (0x08000000 + 1024 * 62) // FMC_WRITE_MAP_ADDR in old code +#define FLASH_PORT_CALI_REGION_SIZE PORT_SECTOR_SIZE +#endif + +#ifndef FLASH_PORT_MAP_REGION +#define FLASH_PORT_MAP_REGION_ADDR (FLASH_PORT_CALI_REGION_ADDR + PORT_SECTOR_SIZE) +#define FLASH_PORT_MAP_REGION_SIZE APP_MAP_MATRIX_BYTES +#define FLASH_PORT_MAP_WORDS APP_MAP_MATRIX_WORDS +#endif + + + +/* ============================================================================ + * HAL Interface (Function pointer injection) + * ============================================================================ */ +typedef struct flash_port_ops_t +{ + uint8_t (*read)(uint32_t addr, void *buf, uint32_t len); + uint8_t (*write)(uint32_t addr, const void *buf, uint32_t len); + uint8_t (*erase)(uint32_t addr, uint32_t len); + uint8_t (*is_erased)(uint32_t addr, uint32_t len); +} flash_port_ops_t; + +/** + * @brief Initialize the flash port layer with hardware specific operations. + * @param ops Pointer to hardware operations structure. + */ +void flash_port_init(const flash_port_ops_t *ops); + +/* ============================================================================ + * Application APIs + * ============================================================================ */ +uint8_t flash_port_math_load(app_math_cali_t *params); +uint8_t flash_port_math_save(const app_math_cali_t *params); +uint8_t flash_port_math_clear(void); + +uint8_t flash_port_pressure_load(app_math_cali_t *params); +uint8_t flash_port_pressure_save(const app_math_cali_t *params); +uint8_t flash_port_pressure_clear(void); + +uint8_t flash_port_map_load(uint16_t *map_matrix, uint32_t map_words); +uint8_t flash_port_map_save(const uint16_t *map_matrix, uint32_t map_words); +uint8_t flash_port_map_clear(void); + +uint8_t flash_port_creep_load(app_creep_params *params); +uint8_t flash_port_creep_save(const app_creep_params *params); +uint8_t flash_port_creep_clear(void); + +uint8_t flash_port_device_info_load(app_dev_info *info); +uint8_t flash_port_device_info_save(const app_dev_info *info); + +#endif /* __FLASH_PORT_H */