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-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
-*
-* $Date: 19. March 2015
-* $Revision: V.1.4.5
-*
-* Project: CMSIS DSP Library
-* Title: arm_rfft_q31.c
-*
-* Description: RFFT & RIFFT Q31 process function
-*
-*
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*
-* Redistribution and use in source and binary forms, with or without
-* modification, are permitted provided that the following conditions
-* are met:
-* - Redistributions of source code must retain the above copyright
-* notice, this list of conditions and the following disclaimer.
-* - Redistributions in binary form must reproduce the above copyright
-* notice, this list of conditions and the following disclaimer in
-* the documentation and/or other materials provided with the
-* distribution.
-* - Neither the name of ARM LIMITED nor the names of its contributors
-* may be used to endorse or promote products derived from this
-* software without specific prior written permission.
-*
-* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-* POSSIBILITY OF SUCH DAMAGE.
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/*--------------------------------------------------------------------
-* Internal functions prototypes
---------------------------------------------------------------------*/
-
-void arm_split_rfft_q31(
- q31_t * pSrc,
- uint32_t fftLen,
- q31_t * pATable,
- q31_t * pBTable,
- q31_t * pDst,
- uint32_t modifier);
-
-void arm_split_rifft_q31(
- q31_t * pSrc,
- uint32_t fftLen,
- q31_t * pATable,
- q31_t * pBTable,
- q31_t * pDst,
- uint32_t modifier);
-
-/**
-* @addtogroup RealFFT
-* @{
-*/
-
-/**
-* @brief Processing function for the Q31 RFFT/RIFFT.
-* @param[in] *S points to an instance of the Q31 RFFT/RIFFT structure.
-* @param[in] *pSrc points to the input buffer.
-* @param[out] *pDst points to the output buffer.
-* @return none.
-*
-* \par Input an output formats:
-* \par
-* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
-* Hence the output format is different for different RFFT sizes.
-* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
-* \par
-* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"
-*
-* \par
-* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"
-*/
-void arm_rfft_q31(
- const arm_rfft_instance_q31 * S,
- q31_t * pSrc,
- q31_t * pDst)
-{
- const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
- uint32_t i;
- uint32_t L2 = S->fftLenReal >> 1;
-
- /* Calculation of RIFFT of input */
- if(S->ifftFlagR == 1u)
- {
- /* Real IFFT core process */
- arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal,
- S->pTwiddleBReal, pDst, S->twidCoefRModifier);
-
- /* Complex IFFT process */
- arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
-
- for(i=0;i<S->fftLenReal;i++)
- {
- pDst[i] = pDst[i] << 1;
- }
- }
- else
- {
- /* Calculation of RFFT of input */
-
- /* Complex FFT process */
- arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
-
- /* Real FFT core process */
- arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal,
- S->pTwiddleBReal, pDst, S->twidCoefRModifier);
- }
-}
-
-/**
-* @} end of RealFFT group
-*/
-
-/**
-* @brief Core Real FFT process
-* @param[in] *pSrc points to the input buffer.
-* @param[in] fftLen length of FFT.
-* @param[in] *pATable points to the twiddle Coef A buffer.
-* @param[in] *pBTable points to the twiddle Coef B buffer.
-* @param[out] *pDst points to the output buffer.
-* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-* @return none.
-*/
-void arm_split_rfft_q31(
- q31_t * pSrc,
- uint32_t fftLen,
- q31_t * pATable,
- q31_t * pBTable,
- q31_t * pDst,
- uint32_t modifier)
-{
- uint32_t i; /* Loop Counter */
- q31_t outR, outI; /* Temporary variables for output */
- q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
- q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
- q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
- q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
-
- /* Init coefficient pointers */
- pCoefA = &pATable[modifier * 2u];
- pCoefB = &pBTable[modifier * 2u];
-
- i = fftLen - 1u;
-
- while(i > 0u)
- {
- /*
- outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
- + pSrc[2 * n - 2 * i] * pBTable[2 * i] +
- pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
- */
-
- /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
- pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
- pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
-
- CoefA1 = *pCoefA++;
- CoefA2 = *pCoefA;
-
- /* outR = (pSrc[2 * i] * pATable[2 * i] */
- mult_32x32_keep32_R(outR, *pIn1, CoefA1);
-
- /* outI = pIn[2 * i] * pATable[2 * i + 1] */
- mult_32x32_keep32_R(outI, *pIn1++, CoefA2);
-
- /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
- multSub_32x32_keep32_R(outR, *pIn1, CoefA2);
-
- /* (pIn[2 * i + 1] * pATable[2 * i] */
- multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
-
- /* pSrc[2 * n - 2 * i] * pBTable[2 * i] */
- multSub_32x32_keep32_R(outR, *pIn2, CoefA2);
- CoefB1 = *pCoefB;
-
- /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
- multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
-
- /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
- multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
-
- /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
- multSub_32x32_keep32_R(outI, *pIn2--, CoefA2);
-
- /* write output */
- *pOut1++ = outR;
- *pOut1++ = outI;
-
- /* write complex conjugate output */
- *pOut2-- = -outI;
- *pOut2-- = outR;
-
- /* update coefficient pointer */
- pCoefB = pCoefB + (modifier * 2u);
- pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
- i--;
- }
- pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
- pDst[(2u * fftLen) + 1u] = 0;
-
- pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
- pDst[1] = 0;
-}
-
-/**
-* @brief Core Real IFFT process
-* @param[in] *pSrc points to the input buffer.
-* @param[in] fftLen length of FFT.
-* @param[in] *pATable points to the twiddle Coef A buffer.
-* @param[in] *pBTable points to the twiddle Coef B buffer.
-* @param[out] *pDst points to the output buffer.
-* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-* @return none.
-*/
-void arm_split_rifft_q31(
- q31_t * pSrc,
- uint32_t fftLen,
- q31_t * pATable,
- q31_t * pBTable,
- q31_t * pDst,
- uint32_t modifier)
-{
- q31_t outR, outI; /* Temporary variables for output */
- q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
- q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
- q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
-
- pCoefA = &pATable[0];
- pCoefB = &pBTable[0];
-
- while(fftLen > 0u)
- {
- /*
- outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
- pIn[2 * n - 2 * i] * pBTable[2 * i] -
- pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
-
- outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
- pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
- pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
- */
- CoefA1 = *pCoefA++;
- CoefA2 = *pCoefA;
-
- /* outR = (pIn[2 * i] * pATable[2 * i] */
- mult_32x32_keep32_R(outR, *pIn1, CoefA1);
-
- /* - pIn[2 * i] * pATable[2 * i + 1] */
- mult_32x32_keep32_R(outI, *pIn1++, -CoefA2);
-
- /* pIn[2 * i + 1] * pATable[2 * i + 1] */
- multAcc_32x32_keep32_R(outR, *pIn1, CoefA2);
-
- /* pIn[2 * i + 1] * pATable[2 * i] */
- multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
-
- /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
- multAcc_32x32_keep32_R(outR, *pIn2, CoefA2);
- CoefB1 = *pCoefB;
-
- /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
- multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
-
- /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
- multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
-
- /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
- multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2);
-
- /* write output */
- *pDst++ = outR;
- *pDst++ = outI;
-
- /* update coefficient pointer */
- pCoefB = pCoefB + (modifier * 2u);
- pCoefA = pCoefA + ((modifier * 2u) - 1u);
-
- /* Decrement loop count */
- fftLen--;
- }
-}