319 lines
		
	
	
		
			8.9 KiB
		
	
	
	
		
			C
		
	
	
	
			
		
		
	
	
			319 lines
		
	
	
		
			8.9 KiB
		
	
	
	
		
			C
		
	
	
	
/* ----------------------------------------------------------------------
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 * Project:      CMSIS DSP Library
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 * Title:        arm_rfft_f32.c
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 * Description:  RFFT & RIFFT Floating point process function
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 *
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 * $Date:        27. January 2017
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 * $Revision:    V.1.5.1
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 *
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 * Target Processor: Cortex-M cores
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 * -------------------------------------------------------------------- */
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/*
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 * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
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 *
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 * SPDX-License-Identifier: Apache-2.0
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 *
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 * Licensed under the Apache License, Version 2.0 (the License); you may
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 * not use this file except in compliance with the License.
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 * You may obtain a copy of the License at
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 *
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 * www.apache.org/licenses/LICENSE-2.0
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 *
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 * Unless required by applicable law or agreed to in writing, software
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 * distributed under the License is distributed on an AS IS BASIS, WITHOUT
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 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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 * See the License for the specific language governing permissions and
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 * limitations under the License.
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 */
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#include "arm_math.h"
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/* ----------------------------------------------------------------------
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 * Internal functions prototypes
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 * -------------------------------------------------------------------- */
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extern void arm_radix4_butterfly_f32(
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    float32_t * pSrc,
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    uint16_t fftLen,
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    float32_t * pCoef,
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    uint16_t twidCoefModifier);
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extern void arm_radix4_butterfly_inverse_f32(
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    float32_t * pSrc,
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    uint16_t fftLen,
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    float32_t * pCoef,
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    uint16_t twidCoefModifier,
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    float32_t onebyfftLen);
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extern void arm_bitreversal_f32(
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    float32_t * pSrc,
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    uint16_t fftSize,
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    uint16_t bitRevFactor,
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    uint16_t * pBitRevTab);
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void arm_split_rfft_f32(
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  float32_t * pSrc,
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  uint32_t fftLen,
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  float32_t * pATable,
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  float32_t * pBTable,
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  float32_t * pDst,
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  uint32_t modifier);
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void arm_split_rifft_f32(
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  float32_t * pSrc,
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  uint32_t fftLen,
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  float32_t * pATable,
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  float32_t * pBTable,
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  float32_t * pDst,
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  uint32_t modifier);
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/**
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* @ingroup groupTransforms
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*/
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/**
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 * @addtogroup RealFFT
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 * @{
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 */
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/**
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 * @brief Processing function for the floating-point RFFT/RIFFT.
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 * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_f32 and will be removed
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 * in the future.
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 * @param[in]  *S    points to an instance of the floating-point RFFT/RIFFT structure.
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 * @param[in]  *pSrc points to the input buffer.
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 * @param[out] *pDst points to the output buffer.
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 * @return none.
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 */
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void arm_rfft_f32(
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  const arm_rfft_instance_f32 * S,
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  float32_t * pSrc,
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  float32_t * pDst)
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{
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  const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
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  /* Calculation of Real IFFT of input */
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  if (S->ifftFlagR == 1U)
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  {
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    /*  Real IFFT core process */
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    arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
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                        S->pTwiddleBReal, pDst, S->twidCoefRModifier);
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    /* Complex radix-4 IFFT process */
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    arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen,
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                                     S_CFFT->pTwiddle,
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                                     S_CFFT->twidCoefModifier,
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                                     S_CFFT->onebyfftLen);
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    /* Bit reversal process */
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    if (S->bitReverseFlagR == 1U)
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    {
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      arm_bitreversal_f32(pDst, S_CFFT->fftLen,
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                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
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    }
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  }
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  else
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  {
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    /* Calculation of RFFT of input */
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    /* Complex radix-4 FFT process */
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    arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen,
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                             S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
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    /* Bit reversal process */
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    if (S->bitReverseFlagR == 1U)
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    {
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      arm_bitreversal_f32(pSrc, S_CFFT->fftLen,
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                          S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
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    }
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    /*  Real FFT core process */
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    arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
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                       S->pTwiddleBReal, pDst, S->twidCoefRModifier);
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  }
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}
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/**
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   * @} end of RealFFT group
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   */
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/**
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 * @brief  Core Real FFT process
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 * @param[in]   *pSrc 				points to the input buffer.
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 * @param[in]   fftLen  			length of FFT.
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 * @param[in]   *pATable 			points to the twiddle Coef A buffer.
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 * @param[in]   *pBTable 			points to the twiddle Coef B buffer.
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 * @param[out]  *pDst 				points to the output buffer.
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 * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
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 * @return none.
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 */
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void arm_split_rfft_f32(
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  float32_t * pSrc,
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  uint32_t fftLen,
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  float32_t * pATable,
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  float32_t * pBTable,
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  float32_t * pDst,
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  uint32_t modifier)
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{
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  uint32_t i;                                    /* Loop Counter */
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  float32_t outR, outI;                          /* Temporary variables for output */
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  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
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  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
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  float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U];      /* temp pointers for output buffer */
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  float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U];      /* temp pointers for input buffer */
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  /* Init coefficient pointers */
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  pCoefA = &pATable[modifier * 2U];
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  pCoefB = &pBTable[modifier * 2U];
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  i = fftLen - 1U;
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  while (i > 0U)
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  {
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    /*
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       outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
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       + pSrc[2 * n - 2 * i] * pBTable[2 * i] +
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       pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
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     */
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    /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
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       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
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       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
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    /* read pATable[2 * i] */
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    CoefA1 = *pCoefA++;
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    /* pATable[2 * i + 1] */
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    CoefA2 = *pCoefA;
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    /* pSrc[2 * i] * pATable[2 * i] */
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    outR = *pSrc1 * CoefA1;
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    /* pSrc[2 * i] * CoefA2 */
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    outI = *pSrc1++ * CoefA2;
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    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
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    outR -= (*pSrc1 + *pSrc2) * CoefA2;
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    /* pSrc[2 * i + 1] * CoefA1 */
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    outI += *pSrc1++ * CoefA1;
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    CoefB1 = *pCoefB;
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    /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
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    outI -= *pSrc2-- * CoefB1;
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    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
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    outI -= *pSrc2 * CoefA2;
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    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
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    outR += *pSrc2-- * CoefB1;
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    /* write output */
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    *pDst1++ = outR;
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    *pDst1++ = outI;
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    /* write complex conjugate output */
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    *pDst2-- = -outI;
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    *pDst2-- = outR;
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    /* update coefficient pointer */
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    pCoefB = pCoefB + (modifier * 2U);
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    pCoefA = pCoefA + ((modifier * 2U) - 1U);
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    i--;
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  }
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  pDst[2U * fftLen] = pSrc[0] - pSrc[1];
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  pDst[(2U * fftLen) + 1U] = 0.0f;
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  pDst[0] = pSrc[0] + pSrc[1];
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  pDst[1] = 0.0f;
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}
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/**
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 * @brief  Core Real IFFT process
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 * @param[in]   *pSrc 				points to the input buffer.
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 * @param[in]   fftLen  			length of FFT.
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 * @param[in]   *pATable 			points to the twiddle Coef A buffer.
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 * @param[in]   *pBTable 			points to the twiddle Coef B buffer.
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 * @param[out]  *pDst 				points to the output buffer.
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 * @param[in]   modifier 	        twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
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 * @return none.
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 */
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void arm_split_rifft_f32(
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  float32_t * pSrc,
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  uint32_t fftLen,
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  float32_t * pATable,
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  float32_t * pBTable,
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  float32_t * pDst,
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  uint32_t modifier)
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{
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  float32_t outR, outI;                          /* Temporary variables for output */
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  float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
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  float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
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  float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U];
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  pCoefA = &pATable[0];
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  pCoefB = &pBTable[0];
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  while (fftLen > 0U)
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  {
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    /*
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       outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
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       pIn[2 * n - 2 * i] * pBTable[2 * i] -
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       pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
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       outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
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       pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
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       pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
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     */
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    CoefA1 = *pCoefA++;
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    CoefA2 = *pCoefA;
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    /* outR = (pSrc[2 * i] * CoefA1 */
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    outR = *pSrc1 * CoefA1;
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    /* - pSrc[2 * i] * CoefA2 */
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    outI = -(*pSrc1++) * CoefA2;
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    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
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    outR += (*pSrc1 + *pSrc2) * CoefA2;
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    /* pSrc[2 * i + 1] * CoefA1 */
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    outI += (*pSrc1++) * CoefA1;
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    CoefB1 = *pCoefB;
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    /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
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    outI -= *pSrc2-- * CoefB1;
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    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
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    outR += *pSrc2 * CoefB1;
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    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
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    outI += *pSrc2-- * CoefA2;
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    /* write output */
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    *pDst++ = outR;
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    *pDst++ = outI;
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    /* update coefficient pointer */
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    pCoefB = pCoefB + (modifier * 2U);
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    pCoefA = pCoefA + ((modifier * 2U) - 1U);
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    /* Decrement loop count */
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    fftLen--;
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  }
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}
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