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nzasch
2021-07-02 22:19:04 +02:00
parent 4e96b2c1f0
commit 2c600301a2
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codice/Middlewares/Third_Party/ARM_CMSIS/CMSIS/DSP/Include/arm_common_tables.h vendored Normal file
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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_common_tables.h
* Description: Extern declaration for common tables
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef _ARM_COMMON_TABLES_H
#define _ARM_COMMON_TABLES_H
#include "arm_math.h"
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
/* Double Precision Float CFFT twiddles */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
extern const uint16_t armBitRevTable[1024];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
extern const uint64_t twiddleCoefF64_16[32];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
extern const uint64_t twiddleCoefF64_32[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
extern const uint64_t twiddleCoefF64_64[128];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
extern const uint64_t twiddleCoefF64_128[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
extern const uint64_t twiddleCoefF64_256[512];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
extern const uint64_t twiddleCoefF64_512[1024];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
extern const uint64_t twiddleCoefF64_1024[2048];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
extern const uint64_t twiddleCoefF64_2048[4096];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
extern const uint64_t twiddleCoefF64_4096[8192];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
extern const float32_t twiddleCoef_16[32];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
extern const float32_t twiddleCoef_32[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
extern const float32_t twiddleCoef_64[128];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
extern const float32_t twiddleCoef_128[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
extern const float32_t twiddleCoef_256[512];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
extern const float32_t twiddleCoef_512[1024];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
extern const float32_t twiddleCoef_1024[2048];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
extern const float32_t twiddleCoef_2048[4096];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
extern const float32_t twiddleCoef_4096[8192];
#define twiddleCoef twiddleCoef_4096
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
extern const q31_t twiddleCoef_16_q31[24];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
extern const q31_t twiddleCoef_32_q31[48];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
extern const q31_t twiddleCoef_64_q31[96];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
extern const q31_t twiddleCoef_128_q31[192];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
extern const q31_t twiddleCoef_256_q31[384];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
extern const q31_t twiddleCoef_512_q31[768];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
extern const q31_t twiddleCoef_1024_q31[1536];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
extern const q31_t twiddleCoef_2048_q31[3072];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
extern const q31_t twiddleCoef_4096_q31[6144];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
extern const q15_t twiddleCoef_16_q15[24];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
extern const q15_t twiddleCoef_32_q15[48];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
extern const q15_t twiddleCoef_64_q15[96];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
extern const q15_t twiddleCoef_128_q15[192];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
extern const q15_t twiddleCoef_256_q15[384];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
extern const q15_t twiddleCoef_512_q15[768];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
extern const q15_t twiddleCoef_1024_q15[1536];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
extern const q15_t twiddleCoef_2048_q15[3072];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
extern const q15_t twiddleCoef_4096_q15[6144];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
/* Double Precision Float RFFT twiddles */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
extern const uint64_t twiddleCoefF64_rfft_32[32];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
extern const uint64_t twiddleCoefF64_rfft_64[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
extern const uint64_t twiddleCoefF64_rfft_128[128];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
extern const uint64_t twiddleCoefF64_rfft_256[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
extern const uint64_t twiddleCoefF64_rfft_512[512];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
extern const uint64_t twiddleCoefF64_rfft_1024[1024];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
extern const uint64_t twiddleCoefF64_rfft_2048[2048];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
extern const uint64_t twiddleCoefF64_rfft_4096[4096];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
extern const float32_t twiddleCoef_rfft_32[32];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
extern const float32_t twiddleCoef_rfft_64[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
extern const float32_t twiddleCoef_rfft_128[128];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
extern const float32_t twiddleCoef_rfft_256[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
extern const float32_t twiddleCoef_rfft_512[512];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
extern const float32_t twiddleCoef_rfft_1024[1024];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
extern const float32_t twiddleCoef_rfft_2048[2048];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
extern const float32_t twiddleCoef_rfft_4096[4096];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
/* Double precision floating-point bit reversal tables */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
#define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12)
extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
#define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24)
extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
#define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56)
extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
#define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112)
extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
#define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240)
extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
#define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480)
extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
#define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992)
extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
#define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984)
extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
#define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032)
extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
/* floating-point bit reversal tables */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
#define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)
extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
#define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)
extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
#define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)
extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)
extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)
extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)
extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
#define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
#define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
#define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)
extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
/* fixed-point bit reversal tables */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
#define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)
extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
#define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)
extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
#define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)
extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
#define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)
extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
#define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)
extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
#define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)
extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)
extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
extern const float32_t realCoefA[8192];
extern const float32_t realCoefB[8192];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
extern const q31_t realCoefAQ31[8192];
extern const q31_t realCoefBQ31[8192];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
extern const q15_t realCoefAQ15[8192];
extern const q15_t realCoefBQ15[8192];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
extern const float32_t Weights_128[256];
extern const float32_t cos_factors_128[128];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
extern const float32_t Weights_512[1024];
extern const float32_t cos_factors_512[512];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
extern const float32_t Weights_2048[4096];
extern const float32_t cos_factors_2048[2048];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
extern const float32_t Weights_8192[16384];
extern const float32_t cos_factors_8192[8192];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
extern const q15_t WeightsQ15_128[256];
extern const q15_t cos_factorsQ15_128[128];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
extern const q15_t WeightsQ15_512[1024];
extern const q15_t cos_factorsQ15_512[512];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
extern const q15_t WeightsQ15_2048[4096];
extern const q15_t cos_factorsQ15_2048[2048];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
extern const q15_t WeightsQ15_8192[16384];
extern const q15_t cos_factorsQ15_8192[8192];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
extern const q31_t WeightsQ31_128[256];
extern const q31_t cos_factorsQ31_128[128];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
extern const q31_t WeightsQ31_512[1024];
extern const q31_t cos_factorsQ31_512[512];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
extern const q31_t WeightsQ31_2048[4096];
extern const q31_t cos_factorsQ31_2048[2048];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
extern const q31_t WeightsQ31_8192[16384];
extern const q31_t cos_factorsQ31_8192[8192];
#endif
#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
extern const q15_t armRecipTableQ15[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
extern const q31_t armRecipTableQ31[64];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
/* Tables for Fast Math Sine and Cosine */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#if defined(ARM_MATH_MVEI)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
extern const q31_t sqrtTable_Q31[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#endif
#if defined(ARM_MATH_MVEI)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
extern const q15_t sqrtTable_Q15[256];
#endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
#endif
#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */
#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
extern const float32_t exp_tab[8];
extern const float32_t __logf_lut_f32[8];
#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM))
extern const unsigned char hwLUT[256];
#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
#endif /* ARM_COMMON_TABLES_H */

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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.
*
* $Date: 27. January 2017
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef _ARM_CONST_STRUCTS_H
#define _ARM_CONST_STRUCTS_H
#include "arm_math.h"
#include "arm_common_tables.h"
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048;
extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
#endif

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_helium_utils.h
* Description: Utility functions for Helium development
*
* $Date: 09. September 2019
* $Revision: V.1.5.1
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef _ARM_UTILS_HELIUM_H_
#define _ARM_UTILS_HELIUM_H_
/***************************************
Definitions available for MVEF and MVEI
***************************************/
#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI)
#define INACTIVELANE 0 /* inactive lane content */
#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) */
/***************************************
Definitions available for MVEF only
***************************************/
#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF)
__STATIC_FORCEINLINE float32_t vecAddAcrossF32Mve(float32x4_t in)
{
float32_t acc;
acc = vgetq_lane(in, 0) + vgetq_lane(in, 1) +
vgetq_lane(in, 2) + vgetq_lane(in, 3);
return acc;
}
/* newton initial guess */
#define INVSQRT_MAGIC_F32 0x5f3759df
#define INVSQRT_NEWTON_MVE_F32(invSqrt, xHalf, xStart)\
{ \
float32x4_t tmp; \
\
/* tmp = xhalf * x * x */ \
tmp = vmulq(xStart, xStart); \
tmp = vmulq(tmp, xHalf); \
/* (1.5f - xhalf * x * x) */ \
tmp = vsubq(vdupq_n_f32(1.5f), tmp); \
/* x = x*(1.5f-xhalf*x*x); */ \
invSqrt = vmulq(tmp, xStart); \
}
#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) */
/***************************************
Definitions available for MVEI only
***************************************/
#if defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI)
#include "arm_common_tables.h"
/* Following functions are used to transpose matrix in f32 and q31 cases */
__STATIC_INLINE arm_status arm_mat_trans_32bit_2x2_mve(
uint32_t * pDataSrc,
uint32_t * pDataDest)
{
static const uint32x4_t vecOffs = { 0, 2, 1, 3 };
/*
*
* | 0 1 | => | 0 2 |
* | 2 3 | | 1 3 |
*
*/
uint32x4_t vecIn = vldrwq_u32((uint32_t const *)pDataSrc);
vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs, vecIn);
return (ARM_MATH_SUCCESS);
}
__STATIC_INLINE arm_status arm_mat_trans_32bit_3x3_mve(
uint32_t * pDataSrc,
uint32_t * pDataDest)
{
const uint32x4_t vecOffs1 = { 0, 3, 6, 1};
const uint32x4_t vecOffs2 = { 4, 7, 2, 5};
/*
*
* | 0 1 2 | | 0 3 6 | 4 x 32 flattened version | 0 3 6 1 |
* | 3 4 5 | => | 1 4 7 | => | 4 7 2 5 |
* | 6 7 8 | | 2 5 8 | (row major) | 8 . . . |
*
*/
uint32x4_t vecIn1 = vldrwq_u32((uint32_t const *) pDataSrc);
uint32x4_t vecIn2 = vldrwq_u32((uint32_t const *) &pDataSrc[4]);
vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs1, vecIn1);
vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs2, vecIn2);
pDataDest[8] = pDataSrc[8];
return (ARM_MATH_SUCCESS);
}
__STATIC_INLINE arm_status arm_mat_trans_32bit_4x4_mve(uint32_t * pDataSrc, uint32_t * pDataDest)
{
/*
* 4x4 Matrix transposition
* is 4 x de-interleave operation
*
* 0 1 2 3 0 4 8 12
* 4 5 6 7 1 5 9 13
* 8 9 10 11 2 6 10 14
* 12 13 14 15 3 7 11 15
*/
uint32x4x4_t vecIn;
vecIn = vld4q((uint32_t const *) pDataSrc);
vstrwq(pDataDest, vecIn.val[0]);
pDataDest += 4;
vstrwq(pDataDest, vecIn.val[1]);
pDataDest += 4;
vstrwq(pDataDest, vecIn.val[2]);
pDataDest += 4;
vstrwq(pDataDest, vecIn.val[3]);
return (ARM_MATH_SUCCESS);
}
__STATIC_INLINE arm_status arm_mat_trans_32bit_generic_mve(
uint16_t srcRows,
uint16_t srcCols,
uint32_t * pDataSrc,
uint32_t * pDataDest)
{
uint32x4_t vecOffs;
uint32_t i;
uint32_t blkCnt;
uint32_t const *pDataC;
uint32_t *pDataDestR;
uint32x4_t vecIn;
vecOffs = vidupq_u32((uint32_t)0, 1);
vecOffs = vecOffs * srcCols;
i = srcCols;
do
{
pDataC = (uint32_t const *) pDataSrc;
pDataDestR = pDataDest;
blkCnt = srcRows >> 2;
while (blkCnt > 0U)
{
vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs);
vstrwq(pDataDestR, vecIn);
pDataDestR += 4;
pDataC = pDataC + srcCols * 4;
/*
* Decrement the blockSize loop counter
*/
blkCnt--;
}
/*
* tail
*/
blkCnt = srcRows & 3;
if (blkCnt > 0U)
{
mve_pred16_t p0 = vctp32q(blkCnt);
vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs);
vstrwq_p(pDataDestR, vecIn, p0);
}
pDataSrc += 1;
pDataDest += srcRows;
}
while (--i);
return (ARM_MATH_SUCCESS);
}
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
__STATIC_INLINE q31x4_t FAST_VSQRT_Q31(q31x4_t vecIn)
{
q63x2_t vecTmpLL;
q31x4_t vecTmp0, vecTmp1;
q31_t scale;
q63_t tmp64;
q31x4_t vecNrm, vecDst, vecIdx, vecSignBits;
vecSignBits = vclsq(vecIn);
vecSignBits = vbicq(vecSignBits, 1);
/*
* in = in << no_of_sign_bits;
*/
vecNrm = vshlq(vecIn, vecSignBits);
/*
* index = in >> 24;
*/
vecIdx = vecNrm >> 24;
vecIdx = vecIdx << 1;
vecTmp0 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx);
vecIdx = vecIdx + 1;
vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, vecIdx);
vecTmp1 = vqrdmulhq(vecTmp1, vecNrm);
vecTmp0 = vecTmp0 - vecTmp1;
vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0);
vecTmp1 = vqrdmulhq(vecNrm, vecTmp1);
vecTmp1 = vdupq_n_s32(0x18000000) - vecTmp1;
vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1);
vecTmpLL = vmullbq_int(vecNrm, vecTmp0);
/*
* scale elements 0, 2
*/
scale = 26 + (vecSignBits[0] >> 1);
tmp64 = asrl(vecTmpLL[0], scale);
vecDst[0] = (q31_t) tmp64;
scale = 26 + (vecSignBits[2] >> 1);
tmp64 = asrl(vecTmpLL[1], scale);
vecDst[2] = (q31_t) tmp64;
vecTmpLL = vmulltq_int(vecNrm, vecTmp0);
/*
* scale elements 1, 3
*/
scale = 26 + (vecSignBits[1] >> 1);
tmp64 = asrl(vecTmpLL[0], scale);
vecDst[1] = (q31_t) tmp64;
scale = 26 + (vecSignBits[3] >> 1);
tmp64 = asrl(vecTmpLL[1], scale);
vecDst[3] = (q31_t) tmp64;
/*
* set negative values to 0
*/
vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s32(vecIn, 0));
return vecDst;
}
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
__STATIC_INLINE q15x8_t FAST_VSQRT_Q15(q15x8_t vecIn)
{
q31x4_t vecTmpLev, vecTmpLodd, vecSignL;
q15x8_t vecTmp0, vecTmp1;
q15x8_t vecNrm, vecDst, vecIdx, vecSignBits;
vecDst = vuninitializedq_s16();
vecSignBits = vclsq(vecIn);
vecSignBits = vbicq(vecSignBits, 1);
/*
* in = in << no_of_sign_bits;
*/
vecNrm = vshlq(vecIn, vecSignBits);
vecIdx = vecNrm >> 8;
vecIdx = vecIdx << 1;
vecTmp0 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx);
vecIdx = vecIdx + 1;
vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, vecIdx);
vecTmp1 = vqrdmulhq(vecTmp1, vecNrm);
vecTmp0 = vecTmp0 - vecTmp1;
vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0);
vecTmp1 = vqrdmulhq(vecNrm, vecTmp1);
vecTmp1 = vdupq_n_s16(0x1800) - vecTmp1;
vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1);
vecSignBits = vecSignBits >> 1;
vecTmpLev = vmullbq_int(vecNrm, vecTmp0);
vecTmpLodd = vmulltq_int(vecNrm, vecTmp0);
vecTmp0 = vecSignBits + 10;
/*
* negate sign to apply register based vshl
*/
vecTmp0 = -vecTmp0;
/*
* shift even elements
*/
vecSignL = vmovlbq(vecTmp0);
vecTmpLev = vshlq(vecTmpLev, vecSignL);
/*
* shift odd elements
*/
vecSignL = vmovltq(vecTmp0);
vecTmpLodd = vshlq(vecTmpLodd, vecSignL);
/*
* merge and narrow odd and even parts
*/
vecDst = vmovnbq_s32(vecDst, vecTmpLev);
vecDst = vmovntq_s32(vecDst, vecTmpLodd);
/*
* set negative values to 0
*/
vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s16(vecIn, 0));
return vecDst;
}
#endif
#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) */
#endif

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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
*
* $Date: 08. January 2020
* $Revision: V1.7.0
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2020 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef _ARM_MVE_TABLES_H
#define _ARM_MVE_TABLES_H
#include "arm_math.h"
#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2];
extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2];
extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2];
extern float32_t rearranged_twiddle_stride1_16_f32[8];
extern float32_t rearranged_twiddle_stride2_16_f32[8];
extern float32_t rearranged_twiddle_stride3_16_f32[8];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3];
extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3];
extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3];
extern float32_t rearranged_twiddle_stride1_64_f32[40];
extern float32_t rearranged_twiddle_stride2_64_f32[40];
extern float32_t rearranged_twiddle_stride3_64_f32[40];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4];
extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4];
extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4];
extern float32_t rearranged_twiddle_stride1_256_f32[168];
extern float32_t rearranged_twiddle_stride2_256_f32[168];
extern float32_t rearranged_twiddle_stride3_256_f32[168];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5];
extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5];
extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5];
extern float32_t rearranged_twiddle_stride1_1024_f32[680];
extern float32_t rearranged_twiddle_stride2_1024_f32[680];
extern float32_t rearranged_twiddle_stride3_1024_f32[680];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192)
extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6];
extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6];
extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6];
extern float32_t rearranged_twiddle_stride1_4096_f32[2728];
extern float32_t rearranged_twiddle_stride2_4096_f32[2728];
extern float32_t rearranged_twiddle_stride3_4096_f32[2728];
#endif
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
#if defined(ARM_MATH_MVEI)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2];
extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2];
extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2];
extern q31_t rearranged_twiddle_stride1_16_q31[8];
extern q31_t rearranged_twiddle_stride2_16_q31[8];
extern q31_t rearranged_twiddle_stride3_16_q31[8];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3];
extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3];
extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3];
extern q31_t rearranged_twiddle_stride1_64_q31[40];
extern q31_t rearranged_twiddle_stride2_64_q31[40];
extern q31_t rearranged_twiddle_stride3_64_q31[40];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4];
extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4];
extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4];
extern q31_t rearranged_twiddle_stride1_256_q31[168];
extern q31_t rearranged_twiddle_stride2_256_q31[168];
extern q31_t rearranged_twiddle_stride3_256_q31[168];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5];
extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5];
extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5];
extern q31_t rearranged_twiddle_stride1_1024_q31[680];
extern q31_t rearranged_twiddle_stride2_1024_q31[680];
extern q31_t rearranged_twiddle_stride3_1024_q31[680];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192)
extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6];
extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6];
extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6];
extern q31_t rearranged_twiddle_stride1_4096_q31[2728];
extern q31_t rearranged_twiddle_stride2_4096_q31[2728];
extern q31_t rearranged_twiddle_stride3_4096_q31[2728];
#endif
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#endif /* defined(ARM_MATH_MVEI) */
#if defined(ARM_MATH_MVEI)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2];
extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2];
extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2];
extern q15_t rearranged_twiddle_stride1_16_q15[8];
extern q15_t rearranged_twiddle_stride2_16_q15[8];
extern q15_t rearranged_twiddle_stride3_16_q15[8];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3];
extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3];
extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3];
extern q15_t rearranged_twiddle_stride1_64_q15[40];
extern q15_t rearranged_twiddle_stride2_64_q15[40];
extern q15_t rearranged_twiddle_stride3_64_q15[40];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4];
extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4];
extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4];
extern q15_t rearranged_twiddle_stride1_256_q15[168];
extern q15_t rearranged_twiddle_stride2_256_q15[168];
extern q15_t rearranged_twiddle_stride3_256_q15[168];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5];
extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5];
extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5];
extern q15_t rearranged_twiddle_stride1_1024_q15[680];
extern q15_t rearranged_twiddle_stride2_1024_q15[680];
extern q15_t rearranged_twiddle_stride3_1024_q15[680];
#endif
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192)
extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6];
extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6];
extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6];
extern q15_t rearranged_twiddle_stride1_4096_q15[2728];
extern q15_t rearranged_twiddle_stride2_4096_q15[2728];
extern q15_t rearranged_twiddle_stride3_4096_q15[2728];
#endif
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#endif /* defined(ARM_MATH_MVEI) */
#if defined(ARM_MATH_MVEI)
#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
#endif /* defined(ARM_MATH_MVEI) */
#endif /*_ARM_MVE_TABLES_H*/

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/******************************************************************************
* @file arm_vec_math.h
* @brief Public header file for CMSIS DSP Library
* @version V1.7.0
* @date 15. October 2019
******************************************************************************/
/*
* Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef _ARM_VEC_MATH_H
#define _ARM_VEC_MATH_H
#include "arm_math.h"
#include "arm_common_tables.h"
#include "arm_helium_utils.h"
#ifdef __cplusplus
extern "C"
{
#endif
#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
#define INV_NEWTON_INIT_F32 0x7EF127EA
static const float32_t __logf_rng_f32=0.693147180f;
/* fast inverse approximation (3x newton) */
__STATIC_INLINE f32x4_t vrecip_medprec_f32(
f32x4_t x)
{
q31x4_t m;
f32x4_t b;
any32x4_t xinv;
f32x4_t ax = vabsq(x);
xinv.f = ax;
m = 0x3F800000 - (xinv.i & 0x7F800000);
xinv.i = xinv.i + m;
xinv.f = 1.41176471f - 0.47058824f * xinv.f;
xinv.i = xinv.i + m;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
/*
* restore sign
*/
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
return xinv.f;
}
/* fast inverse approximation (4x newton) */
__STATIC_INLINE f32x4_t vrecip_hiprec_f32(
f32x4_t x)
{
q31x4_t m;
f32x4_t b;
any32x4_t xinv;
f32x4_t ax = vabsq(x);
xinv.f = ax;
m = 0x3F800000 - (xinv.i & 0x7F800000);
xinv.i = xinv.i + m;
xinv.f = 1.41176471f - 0.47058824f * xinv.f;
xinv.i = xinv.i + m;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
b = 2.0f - xinv.f * ax;
xinv.f = xinv.f * b;
xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
/*
* restore sign
*/
xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
return xinv.f;
}
__STATIC_INLINE f32x4_t vdiv_f32(
f32x4_t num, f32x4_t den)
{
return vmulq(num, vrecip_hiprec_f32(den));
}
/**
@brief Single-precision taylor dev.
@param[in] x f32 quad vector input
@param[in] coeffs f32 quad vector coeffs
@return destination f32 quad vector
*/
__STATIC_INLINE f32x4_t vtaylor_polyq_f32(
f32x4_t x,
const float32_t * coeffs)
{
f32x4_t A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]);
f32x4_t B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]);
f32x4_t C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]);
f32x4_t D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]);
f32x4_t x2 = vmulq(x, x);
f32x4_t x4 = vmulq(x2, x2);
f32x4_t res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4);
return res;
}
__STATIC_INLINE f32x4_t vmant_exp_f32(
f32x4_t x,
int32x4_t * e)
{
any32x4_t r;
int32x4_t n;
r.f = x;
n = r.i >> 23;
n = n - 127;
r.i = r.i - (n << 23);
*e = n;
return r.f;
}
__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn)
{
q31x4_t vecExpUnBiased;
f32x4_t vecTmpFlt0, vecTmpFlt1;
f32x4_t vecAcc0, vecAcc1, vecAcc2, vecAcc3;
f32x4_t vecExpUnBiasedFlt;
/*
* extract exponent
*/
vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased);
vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
/*
* a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]);
*/
vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]);
vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]);
/*
* b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]);
*/
vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]);
vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]);
/*
* c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]);
*/
vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]);
vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]);
/*
* d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]);
*/
vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]);
vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]);
/*
* a = a + b * xx;
*/
vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0);
/*
* c = c + d * xx;
*/
vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0);
/*
* xx = xx * xx;
*/
vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0;
vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased);
/*
* r.f = a + c * xx;
*/
vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
/*
* add exponent
* r.f = r.f + ((float32_t) m) * __logf_rng_f32;
*/
vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32);
// set log0 down to -inf
vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f));
return vecAcc0;
}
__STATIC_INLINE f32x4_t vexpq_f32(
f32x4_t x)
{
// Perform range reduction [-log(2),log(2)]
int32x4_t m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f));
f32x4_t val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f));
// Polynomial Approximation
f32x4_t poly = vtaylor_polyq_f32(val, exp_tab);
// Reconstruct
poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23)));
poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126));
return poly;
}
__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb)
{
f32x4_t r = x;
nb--;
while (nb > 0) {
r = vmulq(r, x);
nb--;
}
return (r);
}
__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn)
{
f32x4_t vecSx, vecW, vecTmp;
any32x4_t v;
vecSx = vabsq(vecIn);
v.f = vecIn;
v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i);
vecW = vmulq(vecSx, v.f);
// v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w)))))));
vecTmp = vsubq(vdupq_n_f32(8.0f), vecW);
vecTmp = vfmasq(vecW, vecTmp, -28.0f);
vecTmp = vfmasq(vecW, vecTmp, 56.0f);
vecTmp = vfmasq(vecW, vecTmp, -70.0f);
vecTmp = vfmasq(vecW, vecTmp, 56.0f);
vecTmp = vfmasq(vecW, vecTmp, -28.0f);
vecTmp = vfmasq(vecW, vecTmp, 8.0f);
v.f = vmulq(v.f, vecTmp);
v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f));
/*
* restore sign
*/
v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f));
return v.f;
}
__STATIC_INLINE f32x4_t vtanhq_f32(
f32x4_t val)
{
f32x4_t x =
vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f));
f32x4_t exp2x = vexpq_f32(vmulq_n_f32(x, 2.f));
f32x4_t num = vsubq_n_f32(exp2x, 1.f);
f32x4_t den = vaddq_n_f32(exp2x, 1.f);
f32x4_t tanh = vmulq_f32(num, vrecip_f32(den));
return tanh;
}
__STATIC_INLINE f32x4_t vpowq_f32(
f32x4_t val,
f32x4_t n)
{
return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
}
#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM))
#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
#include "NEMath.h"
/**
* @brief Vectorized integer exponentiation
* @param[in] x value
* @param[in] nb integer exponent >= 1
* @return x^nb
*
*/
__STATIC_INLINE float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb)
{
float32x4_t r = x;
nb --;
while(nb > 0)
{
r = vmulq_f32(r , x);
nb--;
}
return(r);
}
__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t x)
{
float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN));
float32x4_t e = vrsqrteq_f32(x1);
e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
return vmulq_f32(x, e);
}
__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec)
{
float32x4_t tempF;
int32x4_t tempHI,tempLO;
tempLO = vmovl_s16(vget_low_s16(vec));
tempF = vcvtq_n_f32_s32(tempLO,15);
tempF = __arm_vec_sqrt_f32_neon(tempF);
tempLO = vcvtq_n_s32_f32(tempF,15);
tempHI = vmovl_s16(vget_high_s16(vec));
tempF = vcvtq_n_f32_s32(tempHI,15);
tempF = __arm_vec_sqrt_f32_neon(tempF);
tempHI = vcvtq_n_s32_f32(tempF,15);
return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI)));
}
__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec)
{
float32x4_t temp;
temp = vcvtq_n_f32_s32(vec,31);
temp = __arm_vec_sqrt_f32_neon(temp);
return(vcvtq_n_s32_f32(temp,31));
}
#endif /* (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */
#ifdef __cplusplus
}
#endif
#endif /* _ARM_VEC_MATH_H */
/**
*
* End of file.
*/