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+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
+*
+* $Date: 31. July 2014
+* $Revision: V1.4.4
+*
+* Project: CMSIS DSP Library
+* Title: arm_cfft_radix2_q31.c
+*
+* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing 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"
+
+void arm_radix2_butterfly_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ q31_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ q31_t * pCoef,
+ uint16_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+ q31_t * pSrc,
+ uint32_t fftLen,
+ uint16_t bitRevFactor,
+ uint16_t * pBitRevTab);
+
+/**
+* @ingroup groupTransforms
+*/
+
+/**
+* @addtogroup ComplexFFT
+* @{
+*/
+
+/**
+* @details
+* @brief Processing function for the fixed-point CFFT/CIFFT.
+* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed
+* @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure.
+* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
+* @return none.
+*/
+
+void arm_cfft_radix2_q31(
+const arm_cfft_radix2_instance_q31 * S,
+q31_t * pSrc)
+{
+
+ if(S->ifftFlag == 1u)
+ {
+ arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
+ S->pTwiddle, S->twidCoefModifier);
+ }
+ else
+ {
+ arm_radix2_butterfly_q31(pSrc, S->fftLen,
+ S->pTwiddle, S->twidCoefModifier);
+ }
+
+ arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**
+* @} end of ComplexFFT group
+*/
+
+void arm_radix2_butterfly_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+ unsigned i, j, k, l, m;
+ unsigned n1, n2, ia;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ //N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+
+ yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+ pSrc[2 * i + 1] =
+ ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multAcc_32x32_keep32_R(p0, yt, sinVal);
+ multSub_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2u * l] = p0;
+ pSrc[2u * l + 1u] = p1;
+
+ } // groups loop end
+
+ twidCoefModifier <<= 1u;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ i = j;
+ m = fftLen / n1;
+ do
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multAcc_32x32_keep32_R(p0, yt, sinVal);
+ multSub_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2u * l] = p0;
+ pSrc[2u * l + 1u] = p1;
+ i += n1;
+ m--;
+ } while( m > 0); // butterfly loop end
+
+ } // groups loop end
+
+ twidCoefModifier <<= 1u;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2u * l] = xt;
+
+ pSrc[2u * l + 1u] = yt;
+
+ i += n1;
+ l = i + n2;
+
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2u * l] = xt;
+
+ pSrc[2u * l + 1u] = yt;
+
+ } // butterfly loop end
+
+}
+
+
+void arm_radix2_butterfly_inverse_q31(
+q31_t * pSrc,
+uint32_t fftLen,
+q31_t * pCoef,
+uint16_t twidCoefModifier)
+{
+
+ unsigned i, j, k, l;
+ unsigned n1, n2, ia;
+ q31_t xt, yt, cosVal, sinVal;
+ q31_t p0, p1;
+
+ //N = fftLen;
+ n2 = fftLen;
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (i = 0; i < n2; i++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ l = i + n2;
+ xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
+ pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
+
+ yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
+ pSrc[2 * i + 1] =
+ ((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multSub_32x32_keep32_R(p0, yt, sinVal);
+ multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2u * l] = p0;
+ pSrc[2u * l + 1u] = p1;
+ } // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1u;
+
+ // loop for stage
+ for (k = fftLen / 2; k > 2; k = k >> 1)
+ {
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ // loop for groups
+ for (j = 0; j < n2; j++)
+ {
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = j; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
+
+ mult_32x32_keep32_R(p0, xt, cosVal);
+ mult_32x32_keep32_R(p1, yt, cosVal);
+ multSub_32x32_keep32_R(p0, yt, sinVal);
+ multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+ pSrc[2u * l] = p0;
+ pSrc[2u * l + 1u] = p1;
+ } // butterfly loop end
+
+ } // groups loop end
+
+ twidCoefModifier = twidCoefModifier << 1u;
+ } // stages loop end
+
+ n1 = n2;
+ n2 = n2 >> 1;
+ ia = 0;
+
+ cosVal = pCoef[ia * 2];
+ sinVal = pCoef[(ia * 2) + 1];
+ ia = ia + twidCoefModifier;
+
+ // loop for butterfly
+ for (i = 0; i < fftLen; i += n1)
+ {
+ l = i + n2;
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2u * l] = xt;
+
+ pSrc[2u * l + 1u] = yt;
+
+ i += n1;
+ l = i + n2;
+
+ xt = pSrc[2 * i] - pSrc[2 * l];
+ pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+ yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+ pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+ pSrc[2u * l] = xt;
+
+ pSrc[2u * l + 1u] = yt;
+
+ } // butterfly loop end
+
+}