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			319 lines
		
	
	
		
			9.5 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			319 lines
		
	
	
		
			9.5 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:        23 April 2021
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|  * $Revision:    V1.9.0
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|  *
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|  * Target Processor: Cortex-M and Cortex-A cores
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|  * -------------------------------------------------------------------- */
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| /*
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|  * Copyright (C) 2010-2021 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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| 
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| #include "dsp/transform_functions.h"
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| 
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| /* ----------------------------------------------------------------------
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|  * Internal functions prototypes
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|  * -------------------------------------------------------------------- */
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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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|   const float32_t * pCoef,
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|         uint16_t twidCoefModifier);
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| 
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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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|   const float32_t * pCoef,
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|         uint16_t twidCoefModifier,
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|         float32_t onebyfftLen);
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| 
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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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|   const uint16_t * pBitRevTab);
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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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|   const float32_t * pATable,
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|   const 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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| void arm_split_rifft_f32(
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|         float32_t * pSrc,
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|         uint32_t fftLen,
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|   const float32_t * pATable,
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|   const 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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| /**
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|   @ingroup groupTransforms
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|  */
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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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| /**
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|   @brief         Processing function for the floating-point RFFT/RIFFT.
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|                  Source buffer is modified by this function.
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|                  
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|   @deprecated    Do not use this function.  It has been superceded by \ref arm_rfft_fast_f32 and will be removed 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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|   @par
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|                    For the RIFFT, the source buffer must at least have length 
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|                    fftLenReal + 2.
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|                    The last two elements must be equal to what would be generated
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|                    by the RFFT:
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|                      (pSrc[0] - pSrc[1]) and 0.0f
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|  */
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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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| 
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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, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
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| 
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| 
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|      /* Complex radix-4 IFFT process */
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|      arm_radix4_butterfly_inverse_f32 (pDst, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier, S_CFFT->onebyfftLen);
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| 
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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, 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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| 
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|     /* Complex radix-4 FFT process */
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|     arm_radix4_butterfly_f32 (pSrc, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
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| 
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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, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
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|     }
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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, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
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|   }
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| 
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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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| /**
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|   @brief         Core Real FFT process
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|   @param[in]     pSrc      points to input buffer
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|   @param[in]     fftLen    length of FFT
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|   @param[in]     pATable   points to twiddle Coef A buffer
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|   @param[in]     pBTable   points to twiddle Coef B buffer
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|   @param[out]    pDst      points to 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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| 
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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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|   const float32_t * pATable,
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|   const 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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|   const 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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| 
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|   /* Init coefficient pointers */
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|   pCoefA = &pATable[modifier * 2];
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|   pCoefB = &pBTable[modifier * 2];
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| 
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|   i = fftLen - 1U;
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| 
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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]
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|                - 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]
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|                + 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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| 
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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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| 
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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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| 
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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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| 
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|     CoefB1 = *pCoefB;
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| 
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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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| 
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|     /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
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|     outR += *pSrc2-- * CoefB1;
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| 
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|     /* write output */
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|     *pDst1++ = outR;
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|     *pDst1++ = outI;
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| 
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|     /* write complex conjugate output */
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|     *pDst2-- = -outI;
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|     *pDst2-- = outR;
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| 
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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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| 
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|     i--;
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| 
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|   }
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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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| 
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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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| 
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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 input buffer
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|   @param[in]     fftLen    length of FFT
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|   @param[in]     pATable   points to twiddle Coef A buffer
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|   @param[in]     pBTable   points to twiddle Coef B buffer
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|   @param[out]    pDst      points to 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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| 
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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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|   const float32_t * pATable,
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|   const 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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|   const 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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| 
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|   pCoefA = &pATable[0];
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|   pCoefB = &pBTable[0];
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| 
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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]
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|                + 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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| 
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|        outI = (  pIn[2 * i + 1]         * pATable[2 * i]
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|                - 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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| 
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|      CoefA1 = *pCoefA++;
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|      CoefA2 = *pCoefA;
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| 
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|      /* outR = (pSrc[2 * i] * CoefA1 */
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|      outR = *pSrc1 * CoefA1;
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| 
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|      /* - pSrc[2 * i] * CoefA2 */
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|      outI = -(*pSrc1++) * CoefA2;
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| 
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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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| 
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|      /* pSrc[2 * i + 1] * CoefA1 */
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|      outI += (*pSrc1++) * CoefA1;
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| 
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|      CoefB1 = *pCoefB;
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| 
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|      /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
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|      outI -= *pSrc2-- * CoefB1;
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| 
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|      /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
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|      outR += *pSrc2 * CoefB1;
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| 
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|      /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
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|      outI += *pSrc2-- * CoefA2;
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| 
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|      /* write output */
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|      *pDst++ = outR;
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|      *pDst++ = outI;
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| 
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|      /* update coefficient pointer */
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|      pCoefB = pCoefB + (modifier * 2);
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|      pCoefA = pCoefA + (modifier * 2 - 1);
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| 
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|      /* Decrement loop count */
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|      fftLen--;
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|   }
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| 
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| }
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