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2025-09-05 10:30:26 +02:00
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Drivers/CMSIS/DSP/Include/arm_common_tables.h Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_common_tables.h
* Description: Extern declaration for common tables
*
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_types.h"
#include "dsp/fast_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
#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) */
/* Q31 */
#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) */
/* Fast vector sqrt */
#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
#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
/* Accurate scalar sqrt */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q31)
extern const q31_t sqrt_initial_lut_q31[32];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q15)
extern const q15_t sqrt_initial_lut_q15[16];
#endif
#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
#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)) && !defined(ARM_MATH_AUTOVECTORIZE)
extern const unsigned char hwLUT[256];
#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
#ifdef __cplusplus
}
#endif
#endif /* ARM_COMMON_TABLES_H */

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_common_tables_f16.h
* Description: Extern declaration for common tables
*
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_F16_H
#define _ARM_COMMON_TABLES_F16_H
#include "arm_math_types_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
/* F16 */
#if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_16)
extern const float16_t twiddleCoefF16_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_F16_32)
extern const float16_t twiddleCoefF16_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_F16_64)
extern const float16_t twiddleCoefF16_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_F16_128)
extern const float16_t twiddleCoefF16_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_F16_256)
extern const float16_t twiddleCoefF16_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_F16_512)
extern const float16_t twiddleCoefF16_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_F16_1024)
extern const float16_t twiddleCoefF16_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_F16_2048)
extern const float16_t twiddleCoefF16_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_F16_4096)
extern const float16_t twiddleCoefF16_4096[8192];
#define twiddleCoefF16 twiddleCoefF16_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_F16_32)
extern const float16_t twiddleCoefF16_rfft_32[32];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_64)
extern const float16_t twiddleCoefF16_rfft_64[64];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_128)
extern const float16_t twiddleCoefF16_rfft_128[128];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_256)
extern const float16_t twiddleCoefF16_rfft_256[256];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_512)
extern const float16_t twiddleCoefF16_rfft_512[512];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_1024)
extern const float16_t twiddleCoefF16_rfft_1024[1024];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_2048)
extern const float16_t twiddleCoefF16_rfft_2048[2048];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_4096)
extern const float16_t twiddleCoefF16_rfft_4096[4096];
#endif
#endif /* ARMAC5 */
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
extern const float16_t exp_tab_f16[8];
extern const float16_t __logf_lut_f16[8];
#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
#endif
#ifdef __cplusplus
}
#endif
#endif /* _ARM_COMMON_TABLES_F16_H */

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/* ----------------------------------------------------------------------
* 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.
*
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_types.h"
#include "arm_common_tables.h"
#include "dsp/transform_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
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;
#ifdef __cplusplus
}
#endif
#endif

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Drivers/CMSIS/DSP/Include/arm_const_structs_f16.h Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_const_structs_f16.h
* Description: Constant structs that are initialized for user convenience.
* For example, some can be given as arguments to the arm_cfft_f16() function.
*
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_F16_H
#define _ARM_CONST_STRUCTS_F16_H
#include "arm_math_types_f16.h"
#include "arm_common_tables.h"
#include "arm_common_tables_f16.h"
#include "dsp/transform_functions_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len16;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len32;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len64;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len128;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len256;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len512;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len1024;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len2048;
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len4096;
#endif
#endif
#ifdef __cplusplus
}
#endif
#endif

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Drivers/CMSIS/DSP/Include/arm_helium_utils.h Normal file
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@@ -0,0 +1,753 @@
/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_helium_utils.h
* Description: Utility functions for Helium development
*
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_
#ifdef __cplusplus
extern "C"
{
#endif
/***************************************
Definitions available for MVEF and MVEI
***************************************/
#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE)
#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)) && !defined(ARM_MATH_AUTOVECTORIZE)
__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 INV_NEWTON_INIT_F32 0x7EF127EA
#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 f16 datatype with HW acceleration only
***************************************/
#if defined(ARM_FLOAT16_SUPPORTED)
#if defined (ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
__STATIC_FORCEINLINE float16_t vecAddAcrossF16Mve(float16x8_t in)
{
float16x8_t tmpVec;
_Float16 acc;
tmpVec = (float16x8_t) vrev32q_s16((int16x8_t) in);
in = vaddq_f16(tmpVec, in);
tmpVec = (float16x8_t) vrev64q_s32((int32x4_t) in);
in = vaddq_f16(tmpVec, in);
acc = (_Float16)vgetq_lane_f16(in, 0) + (_Float16)vgetq_lane_f16(in, 4);
return acc;
}
__STATIC_FORCEINLINE float16x8_t __mve_cmplx_sum_intra_vec_f16(
float16x8_t vecIn)
{
float16x8_t vecTmp, vecOut;
uint32_t tmp;
vecTmp = (float16x8_t) vrev64q_s32((int32x4_t) vecIn);
// TO TRACK : using canonical addition leads to unefficient code generation for f16
// vecTmp = vecTmp + vecAccCpx0;
/*
* Compute
* re0+re1 | im0+im1 | re0+re1 | im0+im1
* re2+re3 | im2+im3 | re2+re3 | im2+im3
*/
vecTmp = vaddq_f16(vecTmp, vecIn);
vecOut = vecTmp;
/*
* shift left, random tmp insertion in bottom
*/
vecOut = vreinterpretq_f16_s32(vshlcq_s32(vreinterpretq_s32_f16(vecOut) , &tmp, 32));
/*
* Compute:
* DONTCARE | DONTCARE | re0+re1+re0+re1 |im0+im1+im0+im1
* re0+re1+re2+re3 | im0+im1+im2+im3 | re2+re3+re2+re3 |im2+im3+im2+im3
*/
vecOut = vaddq_f16(vecOut, vecTmp);
/*
* Cmplx sum is in 4rd & 5th f16 elt
* return full vector
*/
return vecOut;
}
#define mve_cmplx_sum_intra_r_i_f16(vec, Re, Im) \
{ \
float16x8_t vecOut = __mve_cmplx_sum_intra_vec_f16(vec); \
Re = vgetq_lane(vecOut, 4); \
Im = vgetq_lane(vecOut, 5); \
}
__STATIC_FORCEINLINE void mve_cmplx_sum_intra_vec_f16(
float16x8_t vecIn,
float16_t *pOut)
{
float16x8_t vecOut = __mve_cmplx_sum_intra_vec_f16(vecIn);
/*
* Cmplx sum is in 4rd & 5th f16 elt
* use 32-bit extraction
*/
*(float32_t *) pOut = ((float32x4_t) vecOut)[2];
}
#define INVSQRT_MAGIC_F16 0x59ba /* ( 0x1ba = 0x3759df >> 13) */
/* canonical version of INVSQRT_NEWTON_MVE_F16 leads to bad performance */
#define INVSQRT_NEWTON_MVE_F16(invSqrt, xHalf, xStart) \
{ \
float16x8_t tmp; \
\
/* tmp = xhalf * x * x */ \
tmp = vmulq(xStart, xStart); \
tmp = vmulq(tmp, xHalf); \
/* (1.5f - xhalf * x * x) */ \
tmp = vsubq(vdupq_n_f16((float16_t)1.5), tmp); \
/* x = x*(1.5f-xhalf*x*x); */ \
invSqrt = vmulq(tmp, xStart); \
}
#endif
#endif
/***************************************
Definitions available for MVEI and MVEF only
***************************************/
#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE)
/* 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);
}
__STATIC_INLINE arm_status arm_mat_cmplx_trans_32bit(
uint16_t srcRows,
uint16_t srcCols,
uint32_t *pDataSrc,
uint16_t dstRows,
uint16_t dstCols,
uint32_t *pDataDest)
{
uint32_t i;
uint32_t const *pDataC;
uint32_t *pDataRow;
uint32_t *pDataDestR, *pDataDestRow;
uint32x4_t vecOffsRef, vecOffsCur;
uint32_t blkCnt;
uint32x4_t vecIn;
#ifdef ARM_MATH_MATRIX_CHECK
/*
* Check for matrix mismatch condition
*/
if ((srcRows != dstCols) || (srcCols != dstRows))
{
/*
* Set status as ARM_MATH_SIZE_MISMATCH
*/
return ARM_MATH_SIZE_MISMATCH;
}
#else
(void)dstRows;
(void)dstCols;
#endif
/* 2x2, 3x3 and 4x4 specialization to be added */
vecOffsRef[0] = 0;
vecOffsRef[1] = 1;
vecOffsRef[2] = srcCols << 1;
vecOffsRef[3] = (srcCols << 1) + 1;
pDataRow = pDataSrc;
pDataDestRow = pDataDest;
i = srcCols;
do
{
pDataC = (uint32_t const *) pDataRow;
pDataDestR = pDataDestRow;
vecOffsCur = vecOffsRef;
blkCnt = (srcRows * CMPLX_DIM) >> 2;
while (blkCnt > 0U)
{
vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur);
vstrwq(pDataDestR, vecIn);
pDataDestR += 4;
vecOffsCur = vaddq(vecOffsCur, (srcCols << 2));
/*
* Decrement the blockSize loop counter
*/
blkCnt--;
}
/*
* tail
* (will be merged thru tail predication)
*/
blkCnt = (srcRows * CMPLX_DIM) & 3;
if (blkCnt > 0U)
{
mve_pred16_t p0 = vctp32q(blkCnt);
vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur);
vstrwq_p(pDataDestR, vecIn, p0);
}
pDataRow += CMPLX_DIM;
pDataDestRow += (srcRows * CMPLX_DIM);
}
while (--i);
return (ARM_MATH_SUCCESS);
}
__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_INLINE 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_INLINE 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_INLINE 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);
}
__STATIC_INLINE arm_status arm_mat_cmplx_trans_16bit(
uint16_t srcRows,
uint16_t srcCols,
uint16_t *pDataSrc,
uint16_t dstRows,
uint16_t dstCols,
uint16_t *pDataDest)
{
static const uint16_t loadCmplxCol[8] = { 0, 0, 1, 1, 2, 2, 3, 3 };
int i;
uint16x8_t vecOffsRef, vecOffsCur;
uint16_t const *pDataC;
uint16_t *pDataRow;
uint16_t *pDataDestR, *pDataDestRow;
uint32_t blkCnt;
uint16x8_t vecIn;
#ifdef ARM_MATH_MATRIX_CHECK
/*
* Check for matrix mismatch condition
*/
if ((srcRows != dstCols) || (srcCols != dstRows))
{
/*
* Set status as ARM_MATH_SIZE_MISMATCH
*/
return ARM_MATH_SIZE_MISMATCH;
}
#else
(void)dstRows;
(void)dstCols;
#endif
/*
* 2x2, 3x3 and 4x4 specialization to be added
*/
/*
* build [0, 1, 2xcol, 2xcol+1, 4xcol, 4xcol+1, 6xcol, 6xcol+1]
*/
vecOffsRef = vldrhq_u16((uint16_t const *) loadCmplxCol);
vecOffsRef = vmulq(vecOffsRef, (uint16_t) (srcCols * CMPLX_DIM))
+ viwdupq_u16((uint32_t)0, (uint16_t) 2, 1);
pDataRow = pDataSrc;
pDataDestRow = pDataDest;
i = srcCols;
do
{
pDataC = (uint16_t const *) pDataRow;
pDataDestR = pDataDestRow;
vecOffsCur = vecOffsRef;
blkCnt = (srcRows * CMPLX_DIM) >> 3;
while (blkCnt > 0U)
{
vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur);
vstrhq(pDataDestR, vecIn);
pDataDestR+= 8; // VEC_LANES_U16
vecOffsCur = vaddq(vecOffsCur, (srcCols << 3));
/*
* Decrement the blockSize loop counter
*/
blkCnt--;
}
/*
* tail
* (will be merged thru tail predication)
*/
blkCnt = (srcRows * CMPLX_DIM) & 0x7;
if (blkCnt > 0U)
{
mve_pred16_t p0 = vctp16q(blkCnt);
vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur);
vstrhq_p(pDataDestR, vecIn, p0);
}
pDataRow += CMPLX_DIM;
pDataDestRow += (srcRows * CMPLX_DIM);
}
while (--i);
return (ARM_MATH_SUCCESS);
}
#endif /* MVEF and MVEI */
/***************************************
Definitions available for MVEI only
***************************************/
#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI)) && !defined(ARM_MATH_AUTOVECTORIZE)
#include "arm_common_tables.h"
#define MVE_ASRL_SAT16(acc, shift) ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
#define MVE_ASRL_SAT32(acc, shift) ((sqrshrl(acc, -(32-shift)) >> 32) & 0xffffffff)
#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_n_s32(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, (uint32x4_t)vecIdx);
vecIdx = vecIdx + 1;
vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, (uint32x4_t)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_n_s16(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, (uint16x8_t)vecIdx);
vecIdx = vecIdx + 1;
vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, (uint16x8_t)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) */
#ifdef __cplusplus
}
#endif
#endif

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/******************************************************************************
* @file arm_math.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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
*
* \section intro 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
* - Quaternion 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.
*
* The library is providing vectorized versions of most algorthms for Helium
* and of most f32 algorithms for Neon.
*
* When using a vectorized version, provide a little bit of padding after the end of
* a buffer (3 words) because the vectorized code may read a little bit after the end
* of a buffer. You don't have to modify your buffers but just ensure that the
* end of buffer + padding is not outside of a memory region.
*
* \section using Using the Library
*
* The library is released in source form. It is strongly advised to compile the library using -Ofast to
* have the best performances.
*
* The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.
* Simply include this file. If you don't want to include everything, you can also rely
* on headers in Include/dsp folder and use only what you need.
*
* \section example Examples
*
* The library ships with a number of examples which demonstrate how to use the library functions.
*
* \section toolchain Toolchain Support
*
* The library is now tested on Fast Models building with cmake.
* Core M0, M4, M7, M33, M55, A32 are tested.
*
*
* \section preprocessor 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_MVE_FLOAT16.
*
* - ARM_MATH_HELIUM_EXPERIMENTAL:
*
* Only taken into account when ARM_MATH_MVEF, ARM_MATH_MVEI or ARM_MATH_MVE_FLOAT16 are defined.
* Enable some vector versions which may have worse performance than scalar
* depending on the core / compiler configuration.
*
* - 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_MVE_FLOAT16:
*
* MVE Float16 implementations of some algorithms (Requires MVE extension).
*
* - DISABLEFLOAT16:
*
* Disable float16 algorithms when __fp16 is not supported for a
* specific compiler / core configuration.
* This is only valid for scalar. When vector architecture is
* supporting f16 then it can't be disabled.
*
* - ARM_MATH_AUTOVECTORIZE:
*
* With Helium or Neon, disable the use of vectorized code with C intrinsics
* and use pure C instead. The vectorization is then done by the compiler.
*
* <hr>
* \section pack CMSIS-DSP in ARM::CMSIS Pack
*
* The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:
* |File/Folder |Content |
* |---------------------------------|------------------------------------------------------------------------|
* |\b CMSIS\\Documentation\\DSP | This documentation |
* |\b CMSIS\\DSP\\Examples | Example projects demonstrating the usage of the library functions |
* |\b CMSIS\\DSP\\Include | DSP_Lib include files for using and building the lib
* |\b CMSIS\\DSP\\PrivateInclude | DSP_Lib private include files for building the lib |
* |\b CMSIS\\DSP\\Lib | DSP_Lib binaries |
* |\b CMSIS\\DSP\\Source | DSP_Lib source files |
*
* <hr>
* \section rev Revision History of CMSIS-DSP
* Please refer to \ref ChangeLog_pg.
*/
/**
* @defgroup groupExamples Examples
*/
#ifndef _ARM_MATH_H
#define _ARM_MATH_H
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions.h"
#include "dsp/interpolation_functions.h"
#include "dsp/bayes_functions.h"
#include "dsp/matrix_functions.h"
#include "dsp/complex_math_functions.h"
#include "dsp/statistics_functions.h"
#include "dsp/controller_functions.h"
#include "dsp/support_functions.h"
#include "dsp/distance_functions.h"
#include "dsp/svm_functions.h"
#include "dsp/fast_math_functions.h"
#include "dsp/transform_functions.h"
#include "dsp/filtering_functions.h"
#include "dsp/quaternion_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
//#define TABLE_SPACING_Q31 0x400000
//#define TABLE_SPACING_Q15 0x80
#ifdef __cplusplus
}
#endif
#endif /* _ARM_MATH_H */
/**
*
* End of file.
*/

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/******************************************************************************
* @file arm_math_f16.h
* @brief Public header file for f16 function of the CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_MATH_F16_H
#define _ARM_MATH_F16_H
#include "arm_math.h"
#ifdef __cplusplus
extern "C"
{
#endif
#include "arm_math_types_f16.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions_f16.h"
#include "dsp/interpolation_functions_f16.h"
#include "dsp/bayes_functions_f16.h"
#include "dsp/matrix_functions_f16.h"
#include "dsp/complex_math_functions_f16.h"
#include "dsp/statistics_functions_f16.h"
#include "dsp/controller_functions_f16.h"
#include "dsp/support_functions_f16.h"
#include "dsp/distance_functions_f16.h"
#include "dsp/svm_functions_f16.h"
#include "dsp/fast_math_functions_f16.h"
#include "dsp/transform_functions_f16.h"
#include "dsp/filtering_functions_f16.h"
#ifdef __cplusplus
}
#endif
#endif /* _ARM_MATH_F16_H */

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/******************************************************************************
* @file arm_math_memory.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_MATH_MEMORY_H_
#define _ARM_MATH_MEMORY_H_
#include "arm_math_types.h"
#ifdef __cplusplus
extern "C"
{
#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))
/* 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 const * 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
*/
#define read_q15x2_ia(pQ15) read_q15x2((*(pQ15) += 2) - 2)
/**
@brief Read 2 Q15 from Q15 pointer and decrement pointer afterwards.
@param[in] pQ15 points to input value
@return Q31 value
*/
#define read_q15x2_da(pQ15) read_q15x2((*(pQ15) -= 2) + 2)
/**
@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] = (q15_t)(val & 0x0FFFF);
(*pQ15)[1] = (q15_t)((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] = (q15_t)(val & 0x0FFFF);
pQ15[1] = (q15_t)(val >> 16);
#endif
}
/**
@brief Read 4 Q7 from Q7 pointer
@param[in] pQ7 points to input value
@return Q31 value
*/
__STATIC_FORCEINLINE q31_t read_q7x4 (
q7_t const * 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
return (val);
}
/**
@brief Read 4 Q7 from Q7 pointer and increment pointer afterwards.
@param[in] pQ7 points to input value
@return Q31 value
*/
#define read_q7x4_ia(pQ7) read_q7x4((*(pQ7) += 4) - 4)
/**
@brief Read 4 Q7 from Q7 pointer and decrement pointer afterwards.
@param[in] pQ7 points to input value
@return Q31 value
*/
#define read_q7x4_da(pQ7) read_q7x4((*(pQ7) -= 4) + 4)
/**
@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] = (q7_t)(val & 0x0FF);
(*pQ7)[1] = (q7_t)((val >> 8) & 0x0FF);
(*pQ7)[2] = (q7_t)((val >> 16) & 0x0FF);
(*pQ7)[3] = (q7_t)((val >> 24) & 0x0FF);
#endif
*pQ7 += 4;
}
#ifdef __cplusplus
}
#endif
#endif /*ifndef _ARM_MATH_MEMORY_H_ */

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/******************************************************************************
* @file arm_math_types.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_MATH_TYPES_H_
#define _ARM_MATH_TYPES_H_
#ifdef __cplusplus
extern "C"
{
#endif
/* Compiler specific diagnostic adjustment */
#if defined ( __CC_ARM )
#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
#elif defined ( __APPLE_CC__ )
#pragma GCC diagnostic ignored "-Wold-style-cast"
#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 <stdint.h>
#define __STATIC_FORCEINLINE static __forceinline
#define __STATIC_INLINE static __inline
#define __ALIGNED(x) __declspec(align(x))
#elif defined ( __APPLE_CC__ )
#include <stdint.h>
#define __ALIGNED(x) __attribute__((aligned(x)))
#define __STATIC_FORCEINLINE static inline __attribute__((always_inline))
#define __STATIC_INLINE static inline
#elif defined (__GNUC_PYTHON__)
#include <stdint.h>
#define __ALIGNED(x) __attribute__((aligned(x)))
#define __STATIC_FORCEINLINE static inline __attribute__((always_inline))
#define __STATIC_INLINE static inline
#else
#include "cmsis_compiler.h"
#endif
#include <string.h>
#include <math.h>
#include <float.h>
#include <limits.h>
/* evaluate ARM DSP feature */
#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1))
#define ARM_MATH_DSP 1
#endif
#if defined(ARM_MATH_NEON)
#if defined(_MSC_VER) && defined(_M_ARM64EC)
#include <arm64_neon.h>
#else
#include <arm_neon.h>
#endif
#if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC) && __ARM_FEATURE_FP16_VECTOR_ARITHMETIC
#if !defined(ARM_MATH_NEON_FLOAT16)
#define ARM_MATH_NEON_FLOAT16
#endif
#endif
#endif
#if !defined(ARM_MATH_AUTOVECTORIZE)
#if defined(__ARM_FEATURE_MVE)
#if __ARM_FEATURE_MVE
#if !defined(ARM_MATH_MVEI)
#define ARM_MATH_MVEI
#endif
#endif
#if (__ARM_FEATURE_MVE & 2)
#if !defined(ARM_MATH_MVEF)
#define ARM_MATH_MVEF
#endif
#if !defined(ARM_MATH_MVE_FLOAT16)
#define ARM_MATH_MVE_FLOAT16
#endif
#endif
#endif /*defined(__ARM_FEATURE_MVE)*/
#endif /*!defined(ARM_MATH_AUTOVECTORIZE)*/
#if defined (ARM_MATH_HELIUM)
#if !defined(ARM_MATH_MVEF)
#define ARM_MATH_MVEF
#endif
#if !defined(ARM_MATH_MVEI)
#define ARM_MATH_MVEI
#endif
#if !defined(ARM_MATH_MVE_FLOAT16)
#define ARM_MATH_MVE_FLOAT16
#endif
#endif
#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 ( __APPLE_CC__ )
#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 ( __APPLE_CC__ )
#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
#if defined(__ARM_FEATURE_MVE) && __ARM_FEATURE_MVE
#include <arm_mve.h>
#endif
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @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.
*/
#if !defined(__ICCARM__) || !(__ARM_FEATURE_MVE & 2)
typedef float float32_t;
#endif
/**
* @brief 64-bit floating-point type definition.
*/
typedef double float64_t;
/**
* @brief vector types
*/
#if defined(ARM_MATH_NEON) || (defined (ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE))
/**
* @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 alignment in 1.15 format.
*/
typedef __ALIGNED(2) int16x8_t q15x8_t;
/**
* @brief 8-bit fractional 128-bit vector data type with 8-bit alignment 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) && !defined(ARM_MATH_AUTOVECTORIZE)) /* floating point vector*/
/**
* @brief 32-bit floating-point 128-bit vector type
*/
typedef float32x4_t f32x4_t;
/**
* @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;
/**
* @brief 32-bit ubiquitous 128-bit vector data type
*/
typedef union _any32x4_t
{
float32x4_t f;
int32x4_t i;
} any32x4_t;
#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;
/**
* @brief 32-bit floating-point 128-bit vector triplet data type
*/
typedef float32x4x3_t f32x4x3_t;
/**
* @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;
/**
* @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;
/**
* @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
#define F64_MAX ((float64_t)DBL_MAX)
#define F32_MAX ((float32_t)FLT_MAX)
#define F64_MIN (-DBL_MAX)
#define F32_MIN (-FLT_MAX)
#define F64_ABSMAX ((float64_t)DBL_MAX)
#define F32_ABSMAX ((float32_t)FLT_MAX)
#define F64_ABSMIN ((float64_t)0.0)
#define F32_ABSMIN ((float32_t)0.0)
#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)
/* 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_MATH_DECOMPOSITION_FAILURE = -7 /**< Decomposition Failed */
} arm_status;
#ifdef __cplusplus
}
#endif
#endif /*ifndef _ARM_MATH_TYPES_H_ */

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/******************************************************************************
* @file arm_math_types_f16.h
* @brief Public header file for f16 function of the CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_MATH_TYPES_F16_H
#define _ARM_MATH_TYPES_F16_H
#include "arm_math_types.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if !defined( __CC_ARM )
/**
* @brief 16-bit floating-point type definition.
* This is already defined in arm_mve.h
*
* This is not fully supported on ARM AC5.
*/
/*
Check if the type __fp16 is available.
If it is not available, f16 version of the kernels
won't be built.
*/
#if !(__ARM_FEATURE_MVE & 2)
#if !defined(DISABLEFLOAT16)
#if defined(__ARM_FP16_FORMAT_IEEE) || defined(__ARM_FP16_FORMAT_ALTERNATIVE)
typedef __fp16 float16_t;
#define ARM_FLOAT16_SUPPORTED
#endif
#endif
#else
/* When Vector float16, this flag is always defined and can't be disabled */
#define ARM_FLOAT16_SUPPORTED
#endif
#if defined(ARM_MATH_NEON) || (defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)) /* floating point vector*/
#if defined(ARM_MATH_MVE_FLOAT16) || defined(ARM_MATH_NEON_FLOAT16)
/**
* @brief 16-bit floating-point 128-bit vector data type
*/
typedef __ALIGNED(2) float16x8_t f16x8_t;
/**
* @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;
/**
* @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)
#if defined(ARM_MATH_NEON_FLOAT16)
/**
* @brief 16-bit float 64-bit vector data type.
*/
typedef __ALIGNED(2) float16x4_t f16x4_t;
/**
* @brief 16-bit floating-point 128-bit vector triplet data type
*/
typedef float16x8x3_t f16x8x3_t;
/**
* @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;
/**
* @brief 16-bit ubiquitous 64-bit vector data type
*/
typedef union _any16x4_t
{
float16x4_t f;
int16x4_t i;
} any16x4_t;
#endif
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
#if defined(__ICCARM__)
#define F16INFINITY ((float16_t) INFINITY)
#else
#define F16INFINITY ((float16_t)__builtin_inf())
#endif
#define F16_MAX ((float16_t)__FLT16_MAX__)
#define F16_MIN (-(_Float16)__FLT16_MAX__)
#define F16_ABSMAX ((float16_t)__FLT16_MAX__)
#define F16_ABSMIN ((float16_t)0.0f16)
#endif /* ARM_FLOAT16_SUPPORTED*/
#endif /* !defined( __CC_ARM ) */
#ifdef __cplusplus
}
#endif
#endif /* _ARM_MATH_F16_H */

231
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mve_tables.h
* Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc
* used for MVE implementation only
*
* @version V1.10.0
* @date 04 October 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_types.h"
#ifdef __cplusplus
extern "C"
{
#endif
#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) && !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_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) && !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_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) */
#ifdef __cplusplus
}
#endif
#endif /*_ARM_MVE_TABLES_H*/

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mve_tables_f16.h
* Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc
* used for MVE implementation only
*
* @version V1.10.0
* @date 04 October 2021
*
* Target Processor: Cortex-M and Cortex-A cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_F16_H
#define _ARM_MVE_TABLES_F16_H
#include "arm_math_types_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_MATH_MVE_FLOAT16) && !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_F16_16) || defined(ARM_TABLE_TWIDDLECOEF_F16_32)
extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f16[2];
extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f16[2];
extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f16[2];
extern float16_t rearranged_twiddle_stride1_16_f16[8];
extern float16_t rearranged_twiddle_stride2_16_f16[8];
extern float16_t rearranged_twiddle_stride3_16_f16[8];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_64) || defined(ARM_TABLE_TWIDDLECOEF_F16_128)
extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f16[3];
extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f16[3];
extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f16[3];
extern float16_t rearranged_twiddle_stride1_64_f16[40];
extern float16_t rearranged_twiddle_stride2_64_f16[40];
extern float16_t rearranged_twiddle_stride3_64_f16[40];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_256) || defined(ARM_TABLE_TWIDDLECOEF_F16_512)
extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f16[4];
extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f16[4];
extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f16[4];
extern float16_t rearranged_twiddle_stride1_256_f16[168];
extern float16_t rearranged_twiddle_stride2_256_f16[168];
extern float16_t rearranged_twiddle_stride3_256_f16[168];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_1024) || defined(ARM_TABLE_TWIDDLECOEF_F16_2048)
extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f16[5];
extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f16[5];
extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f16[5];
extern float16_t rearranged_twiddle_stride1_1024_f16[680];
extern float16_t rearranged_twiddle_stride2_1024_f16[680];
extern float16_t rearranged_twiddle_stride3_1024_f16[680];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_4096) || defined(ARM_TABLE_TWIDDLECOEF_F16_8192)
extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f16[6];
extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f16[6];
extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f16[6];
extern float16_t rearranged_twiddle_stride1_4096_f16[2728];
extern float16_t rearranged_twiddle_stride2_4096_f16[2728];
extern float16_t rearranged_twiddle_stride3_4096_f16[2728];
#endif
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#endif /* defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) */
#ifdef __cplusplus
}
#endif
#endif /*_ARM_MVE_TABLES_F16_H*/

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/******************************************************************************
* @file arm_vec_math.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_types.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)) && !defined(ARM_MATH_AUTOVECTORIZE)
#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.
*/

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/******************************************************************************
* @file arm_vec_math_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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_F16_H
#define _ARM_VEC_MATH_F16_H
#include "arm_math_types_f16.h"
#include "arm_common_tables_f16.h"
#include "arm_helium_utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
static const float16_t __logf_rng_f16=0.693147180f16;
/* fast inverse approximation (3x newton) */
__STATIC_INLINE f16x8_t vrecip_medprec_f16(
f16x8_t x)
{
q15x8_t m;
f16x8_t b;
any16x8_t xinv;
f16x8_t ax = vabsq(x);
xinv.f = ax;
m = 0x03c00 - (xinv.i & 0x07c00);
xinv.i = xinv.i + m;
xinv.f = 1.41176471f16 - 0.47058824f16 * xinv.f;
xinv.i = xinv.i + m;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
xinv.f = vdupq_m_n_f16(xinv.f, F16INFINITY, vcmpeqq_n_f16(x, 0.0f));
/*
* restore sign
*/
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq_n_f16(x, 0.0f));
return xinv.f;
}
/* fast inverse approximation (4x newton) */
__STATIC_INLINE f16x8_t vrecip_hiprec_f16(
f16x8_t x)
{
q15x8_t m;
f16x8_t b;
any16x8_t xinv;
f16x8_t ax = vabsq(x);
xinv.f = ax;
m = 0x03c00 - (xinv.i & 0x07c00);
xinv.i = xinv.i + m;
xinv.f = 1.41176471f16 - 0.47058824f16 * xinv.f;
xinv.i = xinv.i + m;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f16 - xinv.f * ax;
xinv.f = xinv.f * b;
xinv.f = vdupq_m_n_f16(xinv.f, F16INFINITY, vcmpeqq_n_f16(x, 0.0f));
/*
* restore sign
*/
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq_n_f16(x, 0.0f));
return xinv.f;
}
__STATIC_INLINE f16x8_t vdiv_f16(
f16x8_t num, f16x8_t den)
{
return vmulq(num, vrecip_hiprec_f16(den));
}
/**
@brief Single-precision taylor dev.
@param[in] x f16 vector input
@param[in] coeffs f16 vector coeffs
@return destination f16 vector
*/
__STATIC_INLINE float16x8_t vtaylor_polyq_f16(
float16x8_t x,
const float16_t * coeffs)
{
float16x8_t A = vfmasq(vdupq_n_f16(coeffs[4]), x, coeffs[0]);
float16x8_t B = vfmasq(vdupq_n_f16(coeffs[6]), x, coeffs[2]);
float16x8_t C = vfmasq(vdupq_n_f16(coeffs[5]), x, coeffs[1]);
float16x8_t D = vfmasq(vdupq_n_f16(coeffs[7]), x, coeffs[3]);
float16x8_t x2 = vmulq(x, x);
float16x8_t x4 = vmulq(x2, x2);
float16x8_t res = vfmaq(vfmaq_f16(A, B, x2), vfmaq_f16(C, D, x2), x4);
return res;
}
#define VMANT_EXP_F16(x) \
any16x8_t r; \
int16x8_t n; \
\
r.f = x; \
n = r.i >> 10; \
n = n - 15; \
r.i = r.i - (n << 10);\
\
vecExpUnBiased = n; \
vecTmpFlt1 = r.f;
__STATIC_INLINE float16x8_t vlogq_f16(float16x8_t vecIn)
{
q15x8_t vecExpUnBiased;
float16x8_t vecTmpFlt0, vecTmpFlt1;
float16x8_t vecAcc0, vecAcc1, vecAcc2, vecAcc3;
float16x8_t vecExpUnBiasedFlt;
/*
* extract exponent
*/
VMANT_EXP_F16(vecIn);
vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
/*
* a = (__logf_lut_f16[4] * r.f) + (__logf_lut_f16[0]);
*/
vecAcc0 = vdupq_n_f16(__logf_lut_f16[0]);
vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f16[4]);
/*
* b = (__logf_lut_f16[6] * r.f) + (__logf_lut_f16[2]);
*/
vecAcc1 = vdupq_n_f16(__logf_lut_f16[2]);
vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f16[6]);
/*
* c = (__logf_lut_f16[5] * r.f) + (__logf_lut_f16[1]);
*/
vecAcc2 = vdupq_n_f16(__logf_lut_f16[1]);
vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f16[5]);
/*
* d = (__logf_lut_f16[7] * r.f) + (__logf_lut_f16[3]);
*/
vecAcc3 = vdupq_n_f16(__logf_lut_f16[3]);
vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f16[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_f16_s16(vecExpUnBiased);
/*
* r.f = a + c * xx;
*/
vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
/*
* add exponent
* r.f = r.f + ((float32_t) m) * __logf_rng_f16;
*/
vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f16);
// set log0 down to -inf
vecAcc0 = vdupq_m_n_f16(vecAcc0, -(_Float16)F16INFINITY, vcmpeqq_n_f16(vecIn, 0.0f));
return vecAcc0;
}
__STATIC_INLINE float16x8_t vexpq_f16(
float16x8_t x)
{
// Perform range reduction [-log(2),log(2)]
int16x8_t m = vcvtq_s16_f16(vmulq_n_f16(x, 1.4426950408f16));
float16x8_t val = vfmsq_f16(x, vcvtq_f16_s16(m), vdupq_n_f16(0.6931471805f16));
// Polynomial Approximation
float16x8_t poly = vtaylor_polyq_f16(val, exp_tab_f16);
// Reconstruct
poly = (float16x8_t) (vqaddq_s16((int16x8_t) (poly), vqshlq_n_s16(m, 10)));
poly = vdupq_m_n_f16(poly, 0.0f16, vcmpltq_n_s16(m, -14));
return poly;
}
__STATIC_INLINE float16x8_t arm_vec_exponent_f16(float16x8_t x, int16_t nb)
{
float16x8_t r = x;
nb--;
while (nb > 0) {
r = vmulq(r, x);
nb--;
}
return (r);
}
__STATIC_INLINE f16x8_t vpowq_f16(
f16x8_t val,
f16x8_t n)
{
return vexpq_f16(vmulq_f16(n, vlogq_f16(val)));
}
#define INV_NEWTON_INIT_F16 0x7773
__STATIC_INLINE f16x8_t vrecip_f16(f16x8_t vecIn)
{
f16x8_t vecSx, vecW, vecTmp;
any16x8_t v;
vecSx = vabsq(vecIn);
v.f = vecIn;
v.i = vsubq(vdupq_n_s16(INV_NEWTON_INIT_F16), 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_f16(8.0f16), vecW);
vecTmp = vfmasq_n_f16(vecW, vecTmp, -28.0f16);
vecTmp = vfmasq_n_f16(vecW, vecTmp, 56.0f16);
vecTmp = vfmasq_n_f16(vecW, vecTmp, -70.0f16);
vecTmp = vfmasq_n_f16(vecW, vecTmp, 56.0f16);
vecTmp = vfmasq_n_f16(vecW, vecTmp, -28.0f16);
vecTmp = vfmasq_n_f16(vecW, vecTmp, 8.0f16);
v.f = vmulq(v.f, vecTmp);
v.f = vdupq_m_n_f16(v.f, F16INFINITY, vcmpeqq_n_f16(vecIn, 0.0f));
/*
* restore sign
*/
v.f = vnegq_m(v.f, v.f, vcmpltq_n_f16(vecIn, 0.0f));
return v.f;
}
__STATIC_INLINE f16x8_t vtanhq_f16(
f16x8_t val)
{
f16x8_t x =
vminnmq_f16(vmaxnmq_f16(val, vdupq_n_f16(-10.f16)), vdupq_n_f16(10.0f16));
f16x8_t exp2x = vexpq_f16(vmulq_n_f16(x, 2.f16));
f16x8_t num = vsubq_n_f16(exp2x, 1.f16);
f16x8_t den = vaddq_n_f16(exp2x, 1.f16);
f16x8_t tanh = vmulq_f16(num, vrecip_f16(den));
return tanh;
}
#endif /* defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)*/
#ifdef __cplusplus
}
#endif
#endif /* ARM FLOAT16 SUPPORTED */
#endif /* _ARM_VEC_MATH_F16_H */
/**
*
* End of file.
*/

880
Drivers/CMSIS/DSP/Include/dsp/basic_math_functions.h Normal file
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@@ -0,0 +1,880 @@
/******************************************************************************
* @file basic_math_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _BASIC_MATH_FUNCTIONS_H_
#define _BASIC_MATH_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupMath Basic Math Functions
*/
/**
* @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 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_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
float64_t * pDst,
uint32_t blockSize);
/**
* @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 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_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
float64_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 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_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
float64_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 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_f64(
const float64_t * pSrc,
float64_t scale,
float64_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 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_f64(
const float64_t * pSrc,
float64_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 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_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
uint32_t blockSize,
float64_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_f64(
const float64_t * pSrc,
float64_t offset,
float64_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 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_f64(
const float64_t * pSrc,
float64_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 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 Elementwise floating-point clipping
@param[in] pSrc points to input values
@param[out] pDst points to output clipped values
@param[in] low lower bound
@param[in] high higher bound
@param[in] numSamples number of samples to clip
@return none
*/
void arm_clip_f32(const float32_t * pSrc,
float32_t * pDst,
float32_t low,
float32_t high,
uint32_t numSamples);
/**
@brief Elementwise fixed-point clipping
@param[in] pSrc points to input values
@param[out] pDst points to output clipped values
@param[in] low lower bound
@param[in] high higher bound
@param[in] numSamples number of samples to clip
@return none
*/
void arm_clip_q31(const q31_t * pSrc,
q31_t * pDst,
q31_t low,
q31_t high,
uint32_t numSamples);
/**
@brief Elementwise fixed-point clipping
@param[in] pSrc points to input values
@param[out] pDst points to output clipped values
@param[in] low lower bound
@param[in] high higher bound
@param[in] numSamples number of samples to clip
@return none
*/
void arm_clip_q15(const q15_t * pSrc,
q15_t * pDst,
q15_t low,
q15_t high,
uint32_t numSamples);
/**
@brief Elementwise fixed-point clipping
@param[in] pSrc points to input values
@param[out] pDst points to output clipped values
@param[in] low lower bound
@param[in] high higher bound
@param[in] numSamples number of samples to clip
@return none
*/
void arm_clip_q7(const q7_t * pSrc,
q7_t * pDst,
q7_t low,
q7_t high,
uint32_t numSamples);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _BASIC_MATH_FUNCTIONS_H_ */

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/******************************************************************************
* @file basic_math_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _BASIC_MATH_FUNCTIONS_F16_H_
#define _BASIC_MATH_FUNCTIONS_F16_H_
#ifdef __cplusplus
extern "C"
{
#endif
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
float16_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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
float16_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_f16(
const float16_t * pSrc,
float16_t scale,
float16_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_f16(
const float16_t * pSrc,
float16_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_f16(
const float16_t * pSrc,
float16_t offset,
float16_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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
uint32_t blockSize,
float16_t * result);
/**
* @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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
float16_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_f16(
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
/**
@brief Elementwise floating-point clipping
@param[in] pSrc points to input values
@param[out] pDst points to output clipped values
@param[in] low lower bound
@param[in] high higher bound
@param[in] numSamples number of samples to clip
@return none
*/
void arm_clip_f16(const float16_t * pSrc,
float16_t * pDst,
float16_t low,
float16_t high,
uint32_t numSamples);
#endif /* defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _BASIC_MATH_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file bayes_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _BAYES_FUNCTIONS_H_
#define _BAYES_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/statistics_functions.h"
/**
* @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
*/
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @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[out] *pOutputProbabilities points to a buffer of length numberOfClasses containing estimated probabilities
* @param[out] *pBufferB points to a temporary 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 *pOutputProbabilities,
float32_t *pBufferB);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _BAYES_FUNCTIONS_H_ */

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/******************************************************************************
* @file bayes_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _BAYES_FUNCTIONS_F16_H_
#define _BAYES_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/statistics_functions_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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 float16_t *theta; /**< Mean values for the Gaussians */
const float16_t *sigma; /**< Variances for the Gaussians */
const float16_t *classPriors; /**< Class prior probabilities */
float16_t epsilon; /**< Additive value to variances */
} arm_gaussian_naive_bayes_instance_f16;
/**
* @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[out] *pOutputProbabilities points to a buffer of length numberOfClasses containing estimated probabilities
* @param[out] *pBufferB points to a temporary buffer of length numberOfClasses
* @return The predicted class
*
*/
uint32_t arm_gaussian_naive_bayes_predict_f16(const arm_gaussian_naive_bayes_instance_f16 *S,
const float16_t * in,
float16_t *pOutputProbabilities,
float16_t *pBufferB);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _BAYES_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file complex_math_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _COMPLEX_MATH_FUNCTIONS_H_
#define _COMPLEX_MATH_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/fast_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @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.
*/
/**
* @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 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_f64(
const float64_t * pSrc,
float64_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);
/**
* @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 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_f64(
const float64_t * pSrc,
float64_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 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_fast_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 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 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_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
float64_t * pDst,
uint32_t numSamples);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _COMPLEX_MATH_FUNCTIONS_H_ */

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/******************************************************************************
* @file complex_math_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _COMPLEX_MATH_FUNCTIONS_F16_H_
#define _COMPLEX_MATH_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/fast_math_functions_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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_f16(
const float16_t * pSrc,
float16_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_f16(
const float16_t * pSrc,
float16_t * pDst,
uint32_t numSamples);
/**
* @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_f16(
const float16_t * pSrc,
float16_t * pDst,
uint32_t numSamples);
/**
* @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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
uint32_t numSamples,
float16_t * realResult,
float16_t * imagResult);
/**
* @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_f16(
const float16_t * pSrcCmplx,
const float16_t * pSrcReal,
float16_t * pCmplxDst,
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_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
float16_t * pDst,
uint32_t numSamples);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _COMPLEX_MATH_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file controller_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _CONTROLLER_FUNCTIONS_H_
#define _CONTROLLER_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @brief Macros required for SINE and COSINE Controller functions
*/
#define CONTROLLER_Q31_SHIFT (32 - 9)
/* 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
/**
* @defgroup groupController Controller Functions
*/
/**
* @ingroup groupController
*/
/**
* @addtogroup SinCos
* @{
*/
/**
* @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);
/**
* @} end of SinCos group
*/
/**
* @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.
* <code>S</code> points to an instance of the PID control data structure. <code>in</code>
* is the input sample value. The functions return the output value.
*
* \par Algorithm:
* <pre>
* 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
* </pre>
*
* \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.
*/
/**
* @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; /**< The derived gain A1 = -Kp - 2Kd */
q15_t A2; /**< The derived gain A1 = Kd. */
#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);
/**
* @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
*/
/**
* @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 <code>Ialpha</code> and the <code>Ibeta</code> 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 <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,
* <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> 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 <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,
* <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> 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 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 <code>Ia, Ib and Ic</code> to calculate currents
* in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.
* When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below
* \image html clarke.gif Stator current space vector and its components in (a,b).
* and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>
* can be calculated using only <code>Ia</code> and <code>Ib</code>.
*
* 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 <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and
* <code>pIalpha</code> and <code>pIbeta</code> 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 <code>a</code>
* @param[in] Ib input three-phase coordinate <code>b</code>
* @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 = (0.57735026919f * Ia + 1.15470053838f * Ib);
}
/**
@brief Clarke transform for Q31 version
@param[in] Ia input three-phase coordinate <code>a</code>
@param[in] Ib input three-phase coordinate <code>b</code>
@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 <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and
* <code>Ialpha</code> and <code>Ibeta</code> 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 <code>a</code>
* @param[out] pIb points to output three-phase coordinate <code>b</code>
* @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 <code>a</code>
@param[out] pIb points to output three-phase coordinate <code>b</code>
@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
*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _CONTROLLER_FUNCTIONS_H_ */

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/******************************************************************************
* @file controller_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _CONTROLLER_FUNCTIONS_F16_H_
#define _CONTROLLER_FUNCTIONS_F16_H_
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _CONTROLLER_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file distance_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _DISTANCE_FUNCTIONS_H_
#define _DISTANCE_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/statistics_functions.h"
#include "dsp/basic_math_functions.h"
#include "dsp/fast_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupDistance Distance functions
*
* Distance functions for use with clustering algorithms.
* There are distance functions for float vectors and boolean vectors.
*
*/
/* 6.14 bug */
#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
__attribute__((weak)) float __powisf2(float a, int b);
#endif
/**
* @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 Euclidean distance between two vectors
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float64_t arm_euclidean_distance_f64(const float64_t *pA,const float64_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 Chebyshev distance between two vectors
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float64_t arm_chebyshev_distance_f64(const float64_t *pA,const float64_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 Cityblock (Manhattan) distance between two vectors
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float64_t arm_cityblock_distance_f64(const float64_t *pA,const float64_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 Cosine distance between two vectors
*
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float64_t arm_cosine_distance_f64(const float64_t *pA,const float64_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);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _DISTANCE_FUNCTIONS_H_ */

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/******************************************************************************
* @file distance_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _DISTANCE_FUNCTIONS_F16_H_
#define _DISTANCE_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
/* 6.14 bug */
#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
/* Defined in minkowski_f32 */
__attribute__((weak)) float __powisf2(float a, int b);
#endif
#include "dsp/statistics_functions_f16.h"
#include "dsp/basic_math_functions_f16.h"
#include "dsp/fast_math_functions_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @brief Euclidean distance between two vectors
* @param[in] pA First vector
* @param[in] pB Second vector
* @param[in] blockSize vector length
* @return distance
*
*/
float16_t arm_euclidean_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_braycurtis_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_canberra_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_chebyshev_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_cityblock_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_correlation_distance_f16(float16_t *pA,float16_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
*
*/
float16_t arm_cosine_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_jensenshannon_distance_f16(const float16_t *pA,const float16_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
*
*/
float16_t arm_minkowski_distance_f16(const float16_t *pA,const float16_t *pB, int32_t order, uint32_t blockSize);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _DISTANCE_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file fast_math_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _FAST_MATH_FUNCTIONS_H_
#define _FAST_MATH_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#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)
#ifndef PI
#define PI 3.14159265358979f
#endif
/**
* @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.
*
*/
/**
* @ingroup groupFastMath
*/
/**
@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);
/**
* @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);
/**
@} end of sin group
*/
/**
@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);
/**
* @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);
/**
@} end of cos group
*/
/**
@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 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_f64(
const float64_t * pSrc,
float64_t * pDst,
uint32_t blockSize);
/**
* @brief q31 vector of log values.
* @param[in] pSrc points to the input vector in q31
* @param[out] pDst points to the output vector in q5.26
* @param[in] blockSize number of samples in each vector
* @return none
*/
void arm_vlog_q31(const q31_t * pSrc,
q31_t * pDst,
uint32_t blockSize);
/**
* @brief q15 vector of log values.
* @param[in] pSrc points to the input vector in q15
* @param[out] pDst points to the output vector in q4.11
* @param[in] blockSize number of samples in each vector
* @return none
*/
void arm_vlog_q15(const q15_t * pSrc,
q15_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);
/**
@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_f64(
const float64_t * pSrc,
float64_t * pDst,
uint32_t blockSize);
/**
* @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:
* <pre>
* x1 = x0 - f(x0)/f'(x0)
* </pre>
* where <code>x1</code> is the current estimate,
* <code>x0</code> is the previous estimate, and
* <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.
* For the square root function, the algorithm reduces to:
* <pre>
* x0 = in/2 [initial guess]
* x1 = 1/2 * ( x0 + in / x0) [each iteration]
* </pre>
*/
/**
* @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(
const 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);
/**
* @} end of SQRT group
*/
/**
@brief Fixed point division
@param[in] numerator Numerator
@param[in] denominator Denominator
@param[out] quotient Quotient value normalized between -1.0 and 1.0
@param[out] shift Shift left value to get the unnormalized quotient
@return error status
When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced
to the saturated negative or positive value.
*/
arm_status arm_divide_q15(q15_t numerator,
q15_t denominator,
q15_t *quotient,
int16_t *shift);
/**
@brief Fixed point division
@param[in] numerator Numerator
@param[in] denominator Denominator
@param[out] quotient Quotient value normalized between -1.0 and 1.0
@param[out] shift Shift left value to get the unnormalized quotient
@return error status
When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced
to the saturated negative or positive value.
*/
arm_status arm_divide_q31(q31_t numerator,
q31_t denominator,
q31_t *quotient,
int16_t *shift);
/**
@brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
@param[in] y y coordinate
@param[in] x x coordinate
@param[out] result Result
@return error status.
*/
arm_status arm_atan2_f32(float32_t y,float32_t x,float32_t *result);
/**
@brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
@param[in] y y coordinate
@param[in] x x coordinate
@param[out] result Result in Q2.29
@return error status.
*/
arm_status arm_atan2_q31(q31_t y,q31_t x,q31_t *result);
/**
@brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
@param[in] y y coordinate
@param[in] x x coordinate
@param[out] result Result in Q2.13
@return error status.
*/
arm_status arm_atan2_q15(q15_t y,q15_t x,q15_t *result);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _FAST_MATH_FUNCTIONS_H_ */

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/******************************************************************************
* @file fast_math_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _FAST_MATH_FUNCTIONS_F16_H_
#define _FAST_MATH_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
/* For sqrt_f32 */
#include "dsp/fast_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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_f16(
float16_t in,
float16_t * pOut)
{
float32_t r;
arm_status status;
status=arm_sqrt_f32((float32_t)in,&r);
*pOut=(float16_t)r;
return(status);
}
/**
@} end of SQRT group
*/
/**
@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_f16(
const float16_t * pSrc,
float16_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_f16(
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
/**
@brief Floating-point vector of inverse 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_vinverse_f16(
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
/**
@brief Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
@param[in] y y coordinate
@param[in] x x coordinate
@param[out] result Result
@return error status.
*/
arm_status arm_atan2_f16(float16_t y,float16_t x,float16_t *result);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _FAST_MATH_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file filtering_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _FILTERING_FUNCTIONS_F16_H_
#define _FILTERING_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @brief Instance structure for the floating-point FIR filter.
*/
typedef struct
{
uint16_t numTaps; /**< number of filter coefficients in the filter. */
float16_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
const float16_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
} arm_fir_instance_f16;
/**
* @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_f16(
arm_fir_instance_f16 * S,
uint16_t numTaps,
const float16_t * pCoeffs,
float16_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_f16(
const arm_fir_instance_f16 * S,
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
/**
* @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. */
float16_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
const float16_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
} arm_biquad_casd_df1_inst_f16;
#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
/**
* @brief Instance structure for the modified Biquad coefs required by vectorized code.
*/
typedef struct
{
float16_t coeffs[12][8]; /**< Points to the array of modified coefficients. The array is of length 32. There is one per stage */
} arm_biquad_mod_coef_f16;
#endif
/**
* @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_f16(
const arm_biquad_casd_df1_inst_f16 * S,
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
void arm_biquad_cascade_df1_mve_init_f16(
arm_biquad_casd_df1_inst_f16 * S,
uint8_t numStages,
const float16_t * pCoeffs,
arm_biquad_mod_coef_f16 * pCoeffsMod,
float16_t * pState);
#endif
void arm_biquad_cascade_df1_init_f16(
arm_biquad_casd_df1_inst_f16 * S,
uint8_t numStages,
const float16_t * pCoeffs,
float16_t * pState);
/**
* @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. */
float16_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
const float16_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
} arm_biquad_cascade_df2T_instance_f16;
/**
* @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. */
float16_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
const float16_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
} arm_biquad_cascade_stereo_df2T_instance_f16;
/**
* @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_f16(
const arm_biquad_cascade_df2T_instance_f16 * S,
const float16_t * pSrc,
float16_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_f16(
const arm_biquad_cascade_stereo_df2T_instance_f16 * S,
const float16_t * pSrc,
float16_t * pDst,
uint32_t blockSize);
/**
* @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_f16(
arm_biquad_cascade_df2T_instance_f16 * S,
uint8_t numStages,
const float16_t * pCoeffs,
float16_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_f16(
arm_biquad_cascade_stereo_df2T_instance_f16 * S,
uint8_t numStages,
const float16_t * pCoeffs,
float16_t * pState);
/**
* @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_f16(
const float16_t * pSrcA,
uint32_t srcALen,
const float16_t * pSrcB,
uint32_t srcBLen,
float16_t * pDst);
/**
@brief Levinson Durbin
@param[in] phi autocovariance vector starting with lag 0 (length is nbCoefs + 1)
@param[out] a autoregressive coefficients
@param[out] err prediction error (variance)
@param[in] nbCoefs number of autoregressive coefficients
@return none
*/
void arm_levinson_durbin_f16(const float16_t *phi,
float16_t *a,
float16_t *err,
int nbCoefs);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _FILTERING_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file interpolation_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _INTERPOLATION_FUNCTIONS_H_
#define _INTERPOLATION_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @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.
*/
/**
* @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 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;
/**
* @ingroup groupInterpolation
*/
/**
* @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);
/**
* @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);
/**
* @} end of SplineInterpolate group
*/
/**
* @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.
*
*/
float32_t arm_linear_interp_f32(
arm_linear_interp_instance_f32 * S,
float32_t x);
/**
*
* @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 <code>x</code> 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.
*
*/
q31_t arm_linear_interp_q31(
const q31_t * pYData,
q31_t x,
uint32_t nValues);
/**
*
* @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 <code>x</code> 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.
*
*/
q15_t arm_linear_interp_q15(
const q15_t * pYData,
q31_t x,
uint32_t nValues);
/**
*
* @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 <code>x</code> 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.
*/
q7_t arm_linear_interp_q7(
const q7_t * pYData,
q31_t x,
uint32_t nValues);
/**
* @} end of LinearInterpolate group
*/
/**
* @ingroup groupInterpolation
*/
/**
* @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.
*/
float32_t arm_bilinear_interp_f32(
const arm_bilinear_interp_instance_f32 * S,
float32_t X,
float32_t Y);
/**
* @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.
*/
q31_t arm_bilinear_interp_q31(
arm_bilinear_interp_instance_q31 * S,
q31_t X,
q31_t Y);
/**
* @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.
*/
q15_t arm_bilinear_interp_q15(
arm_bilinear_interp_instance_q15 * S,
q31_t X,
q31_t Y);
/**
* @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.
*/
q7_t arm_bilinear_interp_q7(
arm_bilinear_interp_instance_q7 * S,
q31_t X,
q31_t Y);
/**
* @} end of BilinearInterpolate group
*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */

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/******************************************************************************
* @file interpolation_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _INTERPOLATION_FUNCTIONS_F16_H_
#define _INTERPOLATION_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
typedef struct
{
uint32_t nValues; /**< nValues */
float16_t x1; /**< x1 */
float16_t xSpacing; /**< xSpacing */
float16_t *pYData; /**< pointer to the table of Y values */
} arm_linear_interp_instance_f16;
/**
* @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. */
float16_t *pData; /**< points to the data table. */
} arm_bilinear_interp_instance_f16;
/**
* @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.
*
*/
float16_t arm_linear_interp_f16(
arm_linear_interp_instance_f16 * S,
float16_t x);
/**
* @} end of LinearInterpolate group
*/
/**
* @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.
*/
float16_t arm_bilinear_interp_f16(
const arm_bilinear_interp_instance_f16 * S,
float16_t X,
float16_t Y);
/**
* @} end of BilinearInterpolate group
*/
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _INTERPOLATION_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file matrix_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _MATRIX_FUNCTIONS_H_
#define _MATRIX_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @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:
* <pre>
* 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;
* </pre>
* 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 <code>numRows X numCols</code>
* and the values are arranged in row order. That is, the
* matrix element (i, j) is stored at:
* <pre>
* pData[i*numCols + j]
* </pre>
*
* \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:
* <pre>
* <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
* <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
* <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
* </pre>
* where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
* specifies the number of columns, and <code>pData</code> 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:
* <pre>
* ARM_MATH_SIZE_MISMATCH
* </pre>
* Otherwise the functions return
* <pre>
* ARM_MATH_SUCCESS
* </pre>
* There is some overhead associated with this matrix size checking.
* The matrix size checking is enabled via the \#define
* <pre>
* ARM_MATH_MATRIX_CHECK
* </pre>
* 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 <code>ARM_MATH_SUCCESS</code>.
*/
/**
* @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 Q7 matrix structure.
*/
typedef struct
{
uint16_t numRows; /**< number of rows of the matrix. */
uint16_t numCols; /**< number of columns of the matrix. */
q7_t *pData; /**< points to the data of the matrix. */
} arm_matrix_instance_q7;
/**
* @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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> 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 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 <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_trans_f64(
const arm_matrix_instance_f64 * pSrc,
arm_matrix_instance_f64 * pDst);
/**
* @brief Floating-point complex matrix transpose.
* @param[in] pSrc points to the input matrix
* @param[out] pDst points to the output matrix
* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_cmplx_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 <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> 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 Q15 complex matrix transpose.
* @param[in] pSrc points to the input matrix
* @param[out] pDst points to the output matrix
* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_cmplx_trans_q15(
const arm_matrix_instance_q15 * pSrc,
arm_matrix_instance_q15 * pDst);
/**
* @brief Q7 matrix transpose.
* @param[in] pSrc points to the input matrix
* @param[out] pDst points to the output matrix
* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_trans_q7(
const arm_matrix_instance_q7 * pSrc,
arm_matrix_instance_q7 * 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 <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> 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 Q31 complex matrix transpose.
* @param[in] pSrc points to the input matrix
* @param[out] pDst points to the output matrix
* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_cmplx_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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_mult_f64(
const arm_matrix_instance_f64 * pSrcA,
const arm_matrix_instance_f64 * pSrcB,
arm_matrix_instance_f64 * pDst);
/**
* @brief Floating-point matrix and vector multiplication
* @param[in] pSrcMat points to the input matrix structure
* @param[in] pVec points to vector
* @param[out] pDst points to output vector
*/
void arm_mat_vec_mult_f32(
const arm_matrix_instance_f32 *pSrcMat,
const float32_t *pVec,
float32_t *pDst);
/**
* @brief Q7 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_mult_q7(
const arm_matrix_instance_q7 * pSrcA,
const arm_matrix_instance_q7 * pSrcB,
arm_matrix_instance_q7 * pDst,
q7_t * pState);
/**
* @brief Q7 matrix and vector multiplication
* @param[in] pSrcMat points to the input matrix structure
* @param[in] pVec points to vector
* @param[out] pDst points to output vector
*/
void arm_mat_vec_mult_q7(
const arm_matrix_instance_q7 *pSrcMat,
const q7_t *pVec,
q7_t *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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 and vector multiplication
* @param[in] pSrcMat points to the input matrix structure
* @param[in] pVec points to vector
* @param[out] pDst points to output vector
*/
void arm_mat_vec_mult_q15(
const arm_matrix_instance_q15 *pSrcMat,
const q15_t *pVec,
q15_t *pDst);
/**
* @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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* @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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_mult_opt_q31(
const arm_matrix_instance_q31 * pSrcA,
const arm_matrix_instance_q31 * pSrcB,
arm_matrix_instance_q31 * pDst,
q31_t *pState);
/**
* @brief Q31 matrix and vector multiplication
* @param[in] pSrcMat points to the input matrix structure
* @param[in] pVec points to vector
* @param[out] pDst points to output vector
*/
void arm_mat_vec_mult_q31(
const arm_matrix_instance_q31 *pSrcMat,
const q31_t *pVec,
q31_t *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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_sub_f64(
const arm_matrix_instance_f64 * pSrcA,
const arm_matrix_instance_f64 * pSrcB,
arm_matrix_instance_f64 * 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> 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 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);
/**
* @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
* @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 does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
* If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
* The decomposition is returning a lower triangular matrix.
*/
arm_status arm_mat_cholesky_f64(
const arm_matrix_instance_f64 * src,
arm_matrix_instance_f64 * dst);
/**
* @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
* @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 does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
* If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
* The decomposition is returning a lower triangular matrix.
*/
arm_status arm_mat_cholesky_f32(
const arm_matrix_instance_f32 * src,
arm_matrix_instance_f32 * dst);
/**
* @brief Solve UT . X = A where UT is an upper triangular matrix
* @param[in] ut The upper triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of UT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_upper_triangular_f32(
const arm_matrix_instance_f32 * ut,
const arm_matrix_instance_f32 * a,
arm_matrix_instance_f32 * dst);
/**
* @brief Solve LT . X = A where LT is a lower triangular matrix
* @param[in] lt The lower triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of LT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_lower_triangular_f32(
const arm_matrix_instance_f32 * lt,
const arm_matrix_instance_f32 * a,
arm_matrix_instance_f32 * dst);
/**
* @brief Solve UT . X = A where UT is an upper triangular matrix
* @param[in] ut The upper triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of UT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_upper_triangular_f64(
const arm_matrix_instance_f64 * ut,
const arm_matrix_instance_f64 * a,
arm_matrix_instance_f64 * dst);
/**
* @brief Solve LT . X = A where LT is a lower triangular matrix
* @param[in] lt The lower triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of LT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_lower_triangular_f64(
const arm_matrix_instance_f64 * lt,
const arm_matrix_instance_f64 * a,
arm_matrix_instance_f64 * dst);
/**
* @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
* @param[in] src points to the instance of the input floating-point matrix structure.
* @param[out] l points to the instance of the output floating-point triangular matrix structure.
* @param[out] d points to the instance of the output floating-point diagonal matrix structure.
* @param[out] p points to the instance of the output floating-point permutation vector.
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
* The decomposition is returning a lower triangular matrix.
*/
arm_status arm_mat_ldlt_f32(
const arm_matrix_instance_f32 * src,
arm_matrix_instance_f32 * l,
arm_matrix_instance_f32 * d,
uint16_t * pp);
/**
* @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
* @param[in] src points to the instance of the input floating-point matrix structure.
* @param[out] l points to the instance of the output floating-point triangular matrix structure.
* @param[out] d points to the instance of the output floating-point diagonal matrix structure.
* @param[out] p points to the instance of the output floating-point permutation vector.
* @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
* If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
* The decomposition is returning a lower triangular matrix.
*/
arm_status arm_mat_ldlt_f64(
const arm_matrix_instance_f64 * src,
arm_matrix_instance_f64 * l,
arm_matrix_instance_f64 * d,
uint16_t * pp);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _MATRIX_FUNCTIONS_H_ */

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Drivers/CMSIS/DSP/Include/dsp/matrix_functions_f16.h Normal file
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@@ -0,0 +1,221 @@
/******************************************************************************
* @file matrix_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _MATRIX_FUNCTIONS_F16_H_
#define _MATRIX_FUNCTIONS_F16_H_
#ifdef __cplusplus
extern "C"
{
#endif
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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. */
float16_t *pData; /**< points to the data of the matrix. */
} arm_matrix_instance_f16;
/**
* @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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_add_f16(
const arm_matrix_instance_f16 * pSrcA,
const arm_matrix_instance_f16 * pSrcB,
arm_matrix_instance_f16 * 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_cmplx_mult_f16(
const arm_matrix_instance_f16 * pSrcA,
const arm_matrix_instance_f16 * pSrcB,
arm_matrix_instance_f16 * 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 <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_trans_f16(
const arm_matrix_instance_f16 * pSrc,
arm_matrix_instance_f16 * pDst);
/**
* @brief Floating-point complex matrix transpose.
* @param[in] pSrc points to the input matrix
* @param[out] pDst points to the output matrix
* @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code>
* or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_cmplx_trans_f16(
const arm_matrix_instance_f16 * pSrc,
arm_matrix_instance_f16 * 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_mult_f16(
const arm_matrix_instance_f16 * pSrcA,
const arm_matrix_instance_f16 * pSrcB,
arm_matrix_instance_f16 * pDst);
/**
* @brief Floating-point matrix and vector multiplication
* @param[in] pSrcMat points to the input matrix structure
* @param[in] pVec points to vector
* @param[out] pDst points to output vector
*/
void arm_mat_vec_mult_f16(
const arm_matrix_instance_f16 *pSrcMat,
const float16_t *pVec,
float16_t *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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_sub_f16(
const arm_matrix_instance_f16 * pSrcA,
const arm_matrix_instance_f16 * pSrcB,
arm_matrix_instance_f16 * 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
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
arm_status arm_mat_scale_f16(
const arm_matrix_instance_f16 * pSrc,
float16_t scale,
arm_matrix_instance_f16 * pDst);
/**
* @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_f16(
arm_matrix_instance_f16 * S,
uint16_t nRows,
uint16_t nColumns,
float16_t * pData);
/**
* @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_f16(
const arm_matrix_instance_f16 * src,
arm_matrix_instance_f16 * dst);
/**
* @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
* @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 does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
* If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
* The decomposition is returning a lower triangular matrix.
*/
arm_status arm_mat_cholesky_f16(
const arm_matrix_instance_f16 * src,
arm_matrix_instance_f16 * dst);
/**
* @brief Solve UT . X = A where UT is an upper triangular matrix
* @param[in] ut The upper triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of UT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_upper_triangular_f16(
const arm_matrix_instance_f16 * ut,
const arm_matrix_instance_f16 * a,
arm_matrix_instance_f16 * dst);
/**
* @brief Solve LT . X = A where LT is a lower triangular matrix
* @param[in] lt The lower triangular matrix
* @param[in] a The matrix a
* @param[out] dst The solution X of LT . X = A
* @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
*/
arm_status arm_mat_solve_lower_triangular_f16(
const arm_matrix_instance_f16 * lt,
const arm_matrix_instance_f16 * a,
arm_matrix_instance_f16 * dst);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _MATRIX_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file none.h
* @brief Intrinsincs when no DSP extension available
* @version V1.9.0
* @date 20. July 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.
*/
/*
Definitions in this file are allowing to reuse some versions of the
CMSIS-DSP to build on a core (M0 for instance) or a host where
DSP extension are not available.
Ideally a pure C version should have been used instead.
But those are not always available or use a restricted set
of intrinsics.
*/
#ifndef _NONE_H_
#define _NONE_H_
#include "arm_math_types.h"
#ifdef __cplusplus
extern "C"
{
#endif
/*
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__) || defined(__APPLE_CC__)
__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;
}
/**
\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));
}
#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) ) );
}
/* 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)
#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 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) */
#ifdef __cplusplus
}
#endif
#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */

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/******************************************************************************
* @file quaternion_math_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
*
* Target Processor: Cortex-M and Cortex-A cores
******************************************************************************/
/*
* Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* 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 _QUATERNION_MATH_FUNCTIONS_H_
#define _QUATERNION_MATH_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupQuaternionMath Quaternion Math Functions
* Functions to operates on quaternions and convert between a
* rotation and quaternion representation.
*/
/**
@brief Floating-point quaternion Norm.
@param[in] pInputQuaternions points to the input vector of quaternions
@param[out] pNorms points to the output vector of norms
@param[in] nbQuaternions number of quaternions in each vector
@return none
*/
void arm_quaternion_norm_f32(const float32_t *pInputQuaternions,
float32_t *pNorms,
uint32_t nbQuaternions);
/**
@brief Floating-point quaternion inverse.
@param[in] pInputQuaternions points to the input vector of quaternions
@param[out] pInverseQuaternions points to the output vector of inverse quaternions
@param[in] nbQuaternions number of quaternions in each vector
@return none
*/
void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions,
float32_t *pInverseQuaternions,
uint32_t nbQuaternions);
/**
@brief Floating-point quaternion conjugates.
@param[in] pInputQuaternions points to the input vector of quaternions
@param[out] pConjugateQuaternions points to the output vector of conjugate quaternions
@param[in] nbQuaternions number of quaternions in each vector
@return none
*/
void arm_quaternion_conjugate_f32(const float32_t *inputQuaternions,
float32_t *pConjugateQuaternions,
uint32_t nbQuaternions);
/**
@brief Floating-point normalization of quaternions.
@param[in] pInputQuaternions points to the input vector of quaternions
@param[out] pNormalizedQuaternions points to the output vector of normalized quaternions
@param[in] nbQuaternions number of quaternions in each vector
@return none
*/
void arm_quaternion_normalize_f32(const float32_t *inputQuaternions,
float32_t *pNormalizedQuaternions,
uint32_t nbQuaternions);
/**
@brief Floating-point product of two quaternions.
@param[in] qa First quaternion
@param[in] qb Second quaternion
@param[out] r Product of two quaternions
@return none
*/
void arm_quaternion_product_single_f32(const float32_t *qa,
const float32_t *qb,
float32_t *r);
/**
@brief Floating-point elementwise product two quaternions.
@param[in] qa First array of quaternions
@param[in] qb Second array of quaternions
@param[out] r Elementwise product of quaternions
@param[in] nbQuaternions Number of quaternions in the array
@return none
*/
void arm_quaternion_product_f32(const float32_t *qa,
const float32_t *qb,
float32_t *r,
uint32_t nbQuaternions);
/**
* @brief Conversion of quaternion to equivalent rotation matrix.
* @param[in] pInputQuaternions points to an array of normalized quaternions
* @param[out] pOutputRotations points to an array of 3x3 rotations (in row order)
* @param[in] nbQuaternions in the array
* @return none.
*
* <b>Format of rotation matrix</b>
* \par
* The quaternion a + ib + jc + kd is converted into rotation matrix:
* a^2 + b^2 - c^2 - d^2 2bc - 2ad 2bd + 2ac
* 2bc + 2ad a^2 - b^2 + c^2 - d^2 2cd - 2ab
* 2bd - 2ac 2cd + 2ab a^2 - b^2 - c^2 + d^2
*
* Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22
*/
void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions,
float32_t *pOutputRotations,
uint32_t nbQuaternions);
/**
* @brief Conversion of a rotation matrix to equivalent quaternion.
* @param[in] pInputRotations points to an array 3x3 rotation matrix (in row order)
* @param[out] pOutputQuaternions points to an array of quaternions
* @param[in] nbQuaternions in the array
* @return none.
*/
void arm_rotation2quaternion_f32(const float32_t *pInputRotations,
float32_t *pOutputQuaternions,
uint32_t nbQuaternions);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _QUATERNION_MATH_FUNCTIONS_H_ */

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/******************************************************************************
* @file statistics_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _STATISTICS_FUNCTIONS_H_
#define _STATISTICS_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions.h"
#include "dsp/fast_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupStats Statistics Functions
*/
/**
* @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 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 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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_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 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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_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 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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_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 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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_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 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 absolute values 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_absmin_q7(
const q7_t * pSrc,
uint32_t blockSize,
q7_t * result,
uint32_t * index);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_q7(
const q7_t * pSrc,
uint32_t blockSize,
q7_t * result);
/**
* @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 absolute values 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_absmin_q15(
const q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_q15(
const q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult);
/**
* @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 absolute values 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_absmin_q31(
const q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_q31(
const q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult);
/**
* @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 Minimum value of absolute values 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_absmin_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult);
/**
* @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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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_absmin_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult);
/**
* @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 absolute values 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_absmax_q7(
const q7_t * pSrc,
uint32_t blockSize,
q7_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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
*/
void arm_absmax_no_idx_q7(
const q7_t * pSrc,
uint32_t blockSize,
q7_t * pResult);
/**
* @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 absolute values 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_absmax_q15(
const q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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
*/
void arm_absmax_no_idx_q15(
const q15_t * pSrc,
uint32_t blockSize,
q15_t * pResult);
/**
* @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 absolute values 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_absmax_q31(
const q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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
*/
void arm_absmax_no_idx_q31(
const q31_t * pSrc,
uint32_t blockSize,
q31_t * pResult);
/**
* @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 absolute values 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_absmax_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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
*/
void arm_absmax_no_idx_f32(
const float32_t * pSrc,
uint32_t blockSize,
float32_t * pResult);
/**
* @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_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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_absmax_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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
*/
void arm_absmax_no_idx_f64(
const float64_t * pSrc,
uint32_t blockSize,
float64_t * pResult);
/**
@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 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
@return none
*/
void arm_min_no_idx_f32(
const float32_t *pSrc,
uint32_t blockSize,
float32_t *pResult);
/**
@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_f64(
const float64_t *pSrc,
uint32_t blockSize,
float64_t *pResult);
/**
@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
@return none
*/
void arm_max_no_idx_q31(
const q31_t *pSrc,
uint32_t blockSize,
q31_t *pResult);
/**
@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
@return none
*/
void arm_max_no_idx_q15(
const q15_t *pSrc,
uint32_t blockSize,
q15_t *pResult);
/**
@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
@return none
*/
void arm_max_no_idx_q7(
const q7_t *pSrc,
uint32_t blockSize,
q7_t *pResult);
/**
@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
@return none
*/
void arm_min_no_idx_f64(
const float64_t *pSrc,
uint32_t blockSize,
float64_t *pResult);
/**
@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
@return none
*/
void arm_min_no_idx_q31(
const q31_t *pSrc,
uint32_t blockSize,
q31_t *pResult);
/**
@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
@return none
*/
void arm_min_no_idx_q15(
const q15_t *pSrc,
uint32_t blockSize,
q15_t *pResult);
/**
@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
@return none
*/
void arm_min_no_idx_q7(
const q7_t *pSrc,
uint32_t blockSize,
q7_t *pResult);
/**
@brief Mean square error between two 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_q7(
const q7_t * pSrcA,
const q7_t * pSrcB,
uint32_t blockSize,
q7_t * pResult);
/**
@brief Mean square error between two 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_q15(
const q15_t * pSrcA,
const q15_t * pSrcB,
uint32_t blockSize,
q15_t * pResult);
/**
@brief Mean square error between two 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_q31(
const q31_t * pSrcA,
const q31_t * pSrcB,
uint32_t blockSize,
q31_t * pResult);
/**
@brief Mean square error between two single precision float 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_f32(
const float32_t * pSrcA,
const float32_t * pSrcB,
uint32_t blockSize,
float32_t * pResult);
/**
@brief Mean square error between two double precision float 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_f64(
const float64_t * pSrcA,
const float64_t * pSrcB,
uint32_t blockSize,
float64_t * pResult);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _STATISTICS_FUNCTIONS_H_ */

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/******************************************************************************
* @file statistics_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _STATISTICS_FUNCTIONS_F16_H_
#define _STATISTICS_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions_f16.h"
#include "dsp/fast_math_functions_f16.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult);
/**
* @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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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_absmin_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_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_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult,
uint32_t * pIndex);
/**
* @brief Maximum value of absolute values 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_absmax_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult,
uint32_t * pIndex);
/**
* @brief Minimum value of absolute values 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
*/
void arm_absmin_no_idx_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult);
/**
* @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
*/
void arm_absmax_no_idx_f16(
const float16_t * pSrc,
uint32_t blockSize,
float16_t * pResult);
/**
* @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)
*
*/
float16_t arm_entropy_f16(const float16_t * pSrcA,uint32_t blockSize);
float16_t arm_logsumexp_f16(const float16_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 .
*
*/
float16_t arm_logsumexp_dot_prod_f16(const float16_t * pSrcA,
const float16_t * pSrcB,
uint32_t blockSize,
float16_t *pTmpBuffer);
/**
* @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)
*
*/
float16_t arm_kullback_leibler_f16(const float16_t * pSrcA
,const float16_t * pSrcB
,uint32_t blockSize);
/**
@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_f16(
const float16_t *pSrc,
uint32_t blockSize,
float16_t *pResult);
/**
@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
@return none
*/
void arm_min_no_idx_f16(
const float16_t *pSrc,
uint32_t blockSize,
float16_t *pResult);
/**
@brief Mean square error between two half precision float 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 input vector
@param[out] pResult mean square error
@return none
*/
void arm_mse_f16(
const float16_t * pSrcA,
const float16_t * pSrcB,
uint32_t blockSize,
float16_t * pResult);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _STATISTICS_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file support_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _SUPPORT_FUNCTIONS_H_
#define _SUPPORT_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupSupport Support Functions
*/
/**
* @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 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 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 floating-point vector.
* @param[in] pSrc input pointer
* @param[out] pDst output pointer
* @param[in] blockSize number of samples to process
*/
void arm_copy_f64(
const float64_t * pSrc,
float64_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 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_f64(
float64_t value,
float64_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 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);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _SUPPORT_FUNCTIONS_H_ */

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/******************************************************************************
* @file support_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _SUPPORT_FUNCTIONS_F16_H_
#define _SUPPORT_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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_f16(const float16_t * pSrc, float16_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_f16(float16_t value, float16_t * pDst, uint32_t blockSize);
/**
* @brief Converts the elements of the floating-point vector to Q31 vector.
* @param[in] pSrc points to the f16 input vector
* @param[out] pDst points to the q15 output vector
* @param[in] blockSize length of the input vector
*/
void arm_f16_to_q15(const float16_t * pSrc, q15_t * pDst, uint32_t blockSize);
/**
* @brief Converts the elements of the floating-point vector to Q31 vector.
* @param[in] pSrc points to the q15 input vector
* @param[out] pDst points to the f16 output vector
* @param[in] blockSize length of the input vector
*/
void arm_q15_to_f16(const q15_t * pSrc, float16_t * pDst, uint32_t blockSize);
/**
* @brief Converts the elements of the floating-point vector to Q31 vector.
* @param[in] pSrc points to the f32 input vector
* @param[out] pDst points to the f16 output vector
* @param[in] blockSize length of the input vector
*/
void arm_float_to_f16(const float32_t * pSrc, float16_t * pDst, uint32_t blockSize);
/**
* @brief Converts the elements of the floating-point vector to Q31 vector.
* @param[in] pSrc points to the f16 input vector
* @param[out] pDst points to the f32 output vector
* @param[in] blockSize length of the input vector
*/
void arm_f16_to_float(const float16_t * pSrc, float32_t * pDst, 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
*
*/
float16_t arm_weighted_sum_f16(const float16_t *in
, const float16_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_f16(const float16_t *in
, const float16_t *weights
, float16_t *out
, uint32_t nbVectors
, uint32_t vecDim);
/**
@ingroup groupSupport
*/
/**
* @defgroup typecast Typecasting
*/
/**
@addtogroup typecast
@{
*/
/**
* @brief Interpret a f16 as an s16 value
* @param[in] x input value.
* @return return value.
*
* @par Description
* It is a typecast. No conversion of the float to int is done.
* The memcpy will be optimized out by the compiler.
* memcpy is used to prevent type punning issues.
* With gcc, -fno-builtins MUST not be used or the
* memcpy will not be optimized out.
*/
__STATIC_INLINE int16_t arm_typecast_s16_f16(float16_t x)
{
int16_t res;
res=*(int16_t*)memcpy((char*)&res,(char*)&x,sizeof(float16_t));
return(res);
}
/**
* @brief Interpret an s16 as an f16 value
* @param[in] x input value.
* @return return value.
*
* @par Description
* It is a typecast. No conversion of the int to float is done.
* The memcpy will be optimized out by the compiler.
* memcpy is used to prevent type punning issues.
* With gcc, -fno-builtins MUST not be used or the
* memcpy will not be optimized out.
*/
__STATIC_INLINE float16_t arm_typecast_f16_s16(int16_t x)
{
float16_t res;
res=*(float16_t*)memcpy((char*)&res,(char*)&x,sizeof(int16_t));
return(res);
}
/**
@} end of typecast group
*/
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _SUPPORT_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file svm_defines.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
*
* 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.
*/
#ifndef _SVM_DEFINES_H_
#define _SVM_DEFINES_H_
/**
* @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;
#endif

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/******************************************************************************
* @file svm_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _SVM_FUNCTIONS_H_
#define _SVM_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/svm_defines.h"
#ifdef __cplusplus
extern "C"
{
#endif
#define STEP(x) (x) <= 0 ? 0 : 1
/**
* @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.
*
*/
/**
* @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 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; /**< Independent 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);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _SVM_FUNCTIONS_H_ */

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/******************************************************************************
* @file svm_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _SVM_FUNCTIONS_F16_H_
#define _SVM_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/svm_defines.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
#define STEP(x) (x) <= 0 ? 0 : 1
/**
* @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.
*
*/
/**
* @brief Instance structure for linear SVM prediction function.
*/
typedef struct
{
uint32_t nbOfSupportVectors; /**< Number of support vectors */
uint32_t vectorDimension; /**< Dimension of vector space */
float16_t intercept; /**< Intercept */
const float16_t *dualCoefficients; /**< Dual coefficients */
const float16_t *supportVectors; /**< Support vectors */
const int32_t *classes; /**< The two SVM classes */
} arm_svm_linear_instance_f16;
/**
* @brief Instance structure for polynomial SVM prediction function.
*/
typedef struct
{
uint32_t nbOfSupportVectors; /**< Number of support vectors */
uint32_t vectorDimension; /**< Dimension of vector space */
float16_t intercept; /**< Intercept */
const float16_t *dualCoefficients; /**< Dual coefficients */
const float16_t *supportVectors; /**< Support vectors */
const int32_t *classes; /**< The two SVM classes */
int32_t degree; /**< Polynomial degree */
float16_t coef0; /**< Polynomial constant */
float16_t gamma; /**< Gamma factor */
} arm_svm_polynomial_instance_f16;
/**
* @brief Instance structure for rbf SVM prediction function.
*/
typedef struct
{
uint32_t nbOfSupportVectors; /**< Number of support vectors */
uint32_t vectorDimension; /**< Dimension of vector space */
float16_t intercept; /**< Intercept */
const float16_t *dualCoefficients; /**< Dual coefficients */
const float16_t *supportVectors; /**< Support vectors */
const int32_t *classes; /**< The two SVM classes */
float16_t gamma; /**< Gamma factor */
} arm_svm_rbf_instance_f16;
/**
* @brief Instance structure for sigmoid SVM prediction function.
*/
typedef struct
{
uint32_t nbOfSupportVectors; /**< Number of support vectors */
uint32_t vectorDimension; /**< Dimension of vector space */
float16_t intercept; /**< Intercept */
const float16_t *dualCoefficients; /**< Dual coefficients */
const float16_t *supportVectors; /**< Support vectors */
const int32_t *classes; /**< The two SVM classes */
float16_t coef0; /**< Independent constant */
float16_t gamma; /**< Gamma factor */
} arm_svm_sigmoid_instance_f16;
/**
* @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_f16(arm_svm_linear_instance_f16 *S,
uint32_t nbOfSupportVectors,
uint32_t vectorDimension,
float16_t intercept,
const float16_t *dualCoefficients,
const float16_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_f16(const arm_svm_linear_instance_f16 *S,
const float16_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_f16(arm_svm_polynomial_instance_f16 *S,
uint32_t nbOfSupportVectors,
uint32_t vectorDimension,
float16_t intercept,
const float16_t *dualCoefficients,
const float16_t *supportVectors,
const int32_t *classes,
int32_t degree,
float16_t coef0,
float16_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_f16(const arm_svm_polynomial_instance_f16 *S,
const float16_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_f16(arm_svm_rbf_instance_f16 *S,
uint32_t nbOfSupportVectors,
uint32_t vectorDimension,
float16_t intercept,
const float16_t *dualCoefficients,
const float16_t *supportVectors,
const int32_t *classes,
float16_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_f16(const arm_svm_rbf_instance_f16 *S,
const float16_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_f16(arm_svm_sigmoid_instance_f16 *S,
uint32_t nbOfSupportVectors,
uint32_t vectorDimension,
float16_t intercept,
const float16_t *dualCoefficients,
const float16_t *supportVectors,
const int32_t *classes,
float16_t coef0,
float16_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_f16(const arm_svm_sigmoid_instance_f16 *S,
const float16_t * in,
int32_t * pResult);
#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _SVM_FUNCTIONS_F16_H_ */

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Drivers/CMSIS/DSP/Include/dsp/transform_functions.h Normal file
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@@ -0,0 +1,735 @@
/******************************************************************************
* @file transform_functions.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _TRANSFORM_FUNCTIONS_H_
#define _TRANSFORM_FUNCTIONS_H_
#include "arm_math_types.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#include "dsp/basic_math_functions.h"
#include "dsp/complex_math_functions.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @defgroup groupTransforms Transform Functions
*/
/**
* @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) && !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 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) && !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 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;
arm_status arm_cfft_init_f64(
arm_cfft_instance_f64 * S,
uint16_t fftLen);
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) && !defined(ARM_MATH_AUTOVECTORIZE)
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) && !defined(ARM_MATH_AUTOVECTORIZE)
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 <code>fftLenReal</code> 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 <code>N</code> 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 <code>N</code> 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 Instance structure for the Floating-point MFCC function.
*/
typedef struct
{
const float32_t *dctCoefs; /**< Internal DCT coefficients */
const float32_t *filterCoefs; /**< Internal Mel filter coefficients */
const float32_t *windowCoefs; /**< Windowing coefficients */
const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
const uint32_t *filterLengths; /**< Internal Mel filter lengths */
uint32_t fftLen; /**< FFT length */
uint32_t nbMelFilters; /**< Number of Mel filters */
uint32_t nbDctOutputs; /**< Number of DCT outputs */
#if defined(ARM_MFCC_CFFT_BASED)
/* Implementation of the MFCC is using a CFFT */
arm_cfft_instance_f32 cfft; /**< Internal CFFT instance */
#else
/* Implementation of the MFCC is using a RFFT (default) */
arm_rfft_fast_instance_f32 rfft;
#endif
} arm_mfcc_instance_f32 ;
arm_status arm_mfcc_init_f32(
arm_mfcc_instance_f32 * S,
uint32_t fftLen,
uint32_t nbMelFilters,
uint32_t nbDctOutputs,
const float32_t *dctCoefs,
const uint32_t *filterPos,
const uint32_t *filterLengths,
const float32_t *filterCoefs,
const float32_t *windowCoefs
);
/**
@brief MFCC F32
@param[in] S points to the mfcc instance structure
@param[in] pSrc points to the input samples
@param[out] pDst points to the output MFCC values
@param[inout] pTmp points to a temporary buffer of complex
@return none
*/
void arm_mfcc_f32(
const arm_mfcc_instance_f32 * S,
float32_t *pSrc,
float32_t *pDst,
float32_t *pTmp
);
typedef struct
{
const q31_t *dctCoefs; /**< Internal DCT coefficients */
const q31_t *filterCoefs; /**< Internal Mel filter coefficients */
const q31_t *windowCoefs; /**< Windowing coefficients */
const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
const uint32_t *filterLengths; /**< Internal Mel filter lengths */
uint32_t fftLen; /**< FFT length */
uint32_t nbMelFilters; /**< Number of Mel filters */
uint32_t nbDctOutputs; /**< Number of DCT outputs */
#if defined(ARM_MFCC_CFFT_BASED)
/* Implementation of the MFCC is using a CFFT */
arm_cfft_instance_q31 cfft; /**< Internal CFFT instance */
#else
/* Implementation of the MFCC is using a RFFT (default) */
arm_rfft_instance_q31 rfft;
#endif
} arm_mfcc_instance_q31 ;
arm_status arm_mfcc_init_q31(
arm_mfcc_instance_q31 * S,
uint32_t fftLen,
uint32_t nbMelFilters,
uint32_t nbDctOutputs,
const q31_t *dctCoefs,
const uint32_t *filterPos,
const uint32_t *filterLengths,
const q31_t *filterCoefs,
const q31_t *windowCoefs
);
/**
@brief MFCC Q31
@param[in] S points to the mfcc instance structure
@param[in] pSrc points to the input samples
@param[out] pDst points to the output MFCC values
@param[inout] pTmp points to a temporary buffer of complex
@return none
*/
arm_status arm_mfcc_q31(
const arm_mfcc_instance_q31 * S,
q31_t *pSrc,
q31_t *pDst,
q31_t *pTmp
);
typedef struct
{
const q15_t *dctCoefs; /**< Internal DCT coefficients */
const q15_t *filterCoefs; /**< Internal Mel filter coefficients */
const q15_t *windowCoefs; /**< Windowing coefficients */
const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
const uint32_t *filterLengths; /**< Internal Mel filter lengths */
uint32_t fftLen; /**< FFT length */
uint32_t nbMelFilters; /**< Number of Mel filters */
uint32_t nbDctOutputs; /**< Number of DCT outputs */
#if defined(ARM_MFCC_CFFT_BASED)
/* Implementation of the MFCC is using a CFFT */
arm_cfft_instance_q15 cfft; /**< Internal CFFT instance */
#else
/* Implementation of the MFCC is using a RFFT (default) */
arm_rfft_instance_q15 rfft;
#endif
} arm_mfcc_instance_q15 ;
arm_status arm_mfcc_init_q15(
arm_mfcc_instance_q15 * S,
uint32_t fftLen,
uint32_t nbMelFilters,
uint32_t nbDctOutputs,
const q15_t *dctCoefs,
const uint32_t *filterPos,
const uint32_t *filterLengths,
const q15_t *filterCoefs,
const q15_t *windowCoefs
);
/**
@brief MFCC Q15
@param[in] S points to the mfcc instance structure
@param[in] pSrc points to the input samples
@param[out] pDst points to the output MFCC values in q8.7 format
@param[inout] pTmp points to a temporary buffer of complex
@return error status
*/
arm_status arm_mfcc_q15(
const arm_mfcc_instance_q15 * S,
q15_t *pSrc,
q15_t *pDst,
q31_t *pTmp
);
#ifdef __cplusplus
}
#endif
#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */

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/******************************************************************************
* @file transform_functions_f16.h
* @brief Public header file for CMSIS DSP Library
* @version V1.10.0
* @date 08 July 2021
* 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.
*/
#ifndef _TRANSFORM_FUNCTIONS_F16_H_
#define _TRANSFORM_FUNCTIONS_F16_H_
#include "arm_math_types_f16.h"
#include "arm_math_memory.h"
#include "dsp/none.h"
#include "dsp/utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if defined(ARM_FLOAT16_SUPPORTED)
/**
* @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 float16_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. */
float16_t onebyfftLen; /**< value of 1/fftLen. */
} arm_cfft_radix2_instance_f16;
/**
* @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 float16_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. */
float16_t onebyfftLen; /**< value of 1/fftLen. */
} arm_cfft_radix4_instance_f16;
/**
* @brief Instance structure for the floating-point CFFT/CIFFT function.
*/
typedef struct
{
uint16_t fftLen; /**< length of the FFT. */
const float16_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 float16_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */ \
const float16_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */ \
const float16_t *rearranged_twiddle_stride3;
#endif
} arm_cfft_instance_f16;
arm_status arm_cfft_init_f16(
arm_cfft_instance_f16 * S,
uint16_t fftLen);
void arm_cfft_f16(
const arm_cfft_instance_f16 * S,
float16_t * p1,
uint8_t ifftFlag,
uint8_t bitReverseFlag);
/**
* @brief Instance structure for the floating-point RFFT/RIFFT function.
*/
typedef struct
{
arm_cfft_instance_f16 Sint; /**< Internal CFFT structure. */
uint16_t fftLenRFFT; /**< length of the real sequence */
const float16_t * pTwiddleRFFT; /**< Twiddle factors real stage */
} arm_rfft_fast_instance_f16 ;
arm_status arm_rfft_fast_init_f16 (
arm_rfft_fast_instance_f16 * S,
uint16_t fftLen);
void arm_rfft_fast_f16(
const arm_rfft_fast_instance_f16 * S,
float16_t * p, float16_t * pOut,
uint8_t ifftFlag);
/* Deprecated */
arm_status arm_cfft_radix4_init_f16(
arm_cfft_radix4_instance_f16 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag);
/* Deprecated */
void arm_cfft_radix4_f16(
const arm_cfft_radix4_instance_f16 * S,
float16_t * pSrc);
/* Deprecated */
arm_status arm_cfft_radix2_init_f16(
arm_cfft_radix2_instance_f16 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag);
/* Deprecated */
void arm_cfft_radix2_f16(
const arm_cfft_radix2_instance_f16 * S,
float16_t * pSrc);
/**
* @brief Instance structure for the Floating-point MFCC function.
*/
typedef struct
{
const float16_t *dctCoefs; /**< Internal DCT coefficients */
const float16_t *filterCoefs; /**< Internal Mel filter coefficients */
const float16_t *windowCoefs; /**< Windowing coefficients */
const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */
const uint32_t *filterLengths; /**< Internal Mel filter lengths */
uint32_t fftLen; /**< FFT length */
uint32_t nbMelFilters; /**< Number of Mel filters */
uint32_t nbDctOutputs; /**< Number of DCT outputs */
#if defined(ARM_MFCC_CFFT_BASED)
/* Implementation of the MFCC is using a CFFT */
arm_cfft_instance_f16 cfft; /**< Internal CFFT instance */
#else
/* Implementation of the MFCC is using a RFFT (default) */
arm_rfft_fast_instance_f16 rfft;
#endif
} arm_mfcc_instance_f16 ;
arm_status arm_mfcc_init_f16(
arm_mfcc_instance_f16 * S,
uint32_t fftLen,
uint32_t nbMelFilters,
uint32_t nbDctOutputs,
const float16_t *dctCoefs,
const uint32_t *filterPos,
const uint32_t *filterLengths,
const float16_t *filterCoefs,
const float16_t *windowCoefs
);
/**
@brief MFCC F16
@param[in] S points to the mfcc instance structure
@param[in] pSrc points to the input samples
@param[out] pDst points to the output MFCC values
@param[inout] pTmp points to a temporary buffer of complex
@return none
*/
void arm_mfcc_f16(
const arm_mfcc_instance_f16 * S,
float16_t *pSrc,
float16_t *pDst,
float16_t *pTmp
);
#endif /* defined(ARM_FLOAT16_SUPPORTED)*/
#ifdef __cplusplus
}
#endif
#endif /* ifndef _TRANSFORM_FUNCTIONS_F16_H_ */

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/******************************************************************************
* @file arm_math_utils.h
* @brief Public header file for CMSIS DSP Library
* @version V1.9.0
* @date 20. July 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_MATH_UTILS_H_
#define _ARM_MATH_UTILS_H_
#include "arm_math_types.h"
#ifdef __cplusplus
extern "C"
{
#endif
/**
* @brief Macros required for reciprocal calculation in Normalized LMS
*/
#define INDEX_MASK 0x0000003F
#define SQ(x) ((x) * (x))
#define ROUND_UP(N, S) ((((N) + (S) - 1) / (S)) * (S))
/**
* @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 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;
}
#ifdef __cplusplus
}
#endif
#endif /*ifndef _ARM_MATH_UTILS_H_ */