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-rw-r--r--fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c1209
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diff --git a/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
deleted file mode 100644
index dbbcca7..0000000
--- a/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
+++ /dev/null
@@ -1,1209 +0,0 @@
-/* ----------------------------------------------------------------------
- * Project: CMSIS DSP Library
- * Title: arm_cfft_radix4_f32.c
- * Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing 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.
- */
-
-#include "arm_math.h"
-
-extern void arm_bitreversal_f32(
-float32_t * pSrc,
-uint16_t fftSize,
-uint16_t bitRevFactor,
-uint16_t * pBitRevTab);
-
-void arm_radix4_butterfly_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier);
-
-void arm_radix4_butterfly_inverse_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier,
-float32_t onebyfftLen);
-
-
-/**
-* @ingroup groupTransforms
-*/
-
-/**
-* @addtogroup ComplexFFT
-* @{
-*/
-
-/**
-* @details
-* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.
-* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed
-* in the future.
-* @param[in] *S points to an instance of the floating-point Radix-4 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_radix4_f32(
- const arm_cfft_radix4_instance_f32 * S,
- float32_t * pSrc)
-{
- if (S->ifftFlag == 1U)
- {
- /* Complex IFFT radix-4 */
- arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier, S->onebyfftLen);
- }
- else
- {
- /* Complex FFT radix-4 */
- arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
- }
-
- if (S->bitReverseFlag == 1U)
- {
- /* Bit Reversal */
- arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
- }
-
-}
-
-/**
-* @} end of ComplexFFT group
-*/
-
-/* ----------------------------------------------------------------------
- * Internal helper function used by the FFTs
- * ---------------------------------------------------------------------- */
-
-/*
-* @brief Core function for the floating-point CFFT butterfly process.
-* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
-* @param[in] fftLen length of the FFT.
-* @param[in] *pCoef points to the twiddle coefficient buffer.
-* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-* @return none.
-*/
-
-void arm_radix4_butterfly_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier)
-{
-
- float32_t co1, co2, co3, si1, si2, si3;
- uint32_t ia1, ia2, ia3;
- uint32_t i0, i1, i2, i3;
- uint32_t n1, n2, j, k;
-
-#if defined (ARM_MATH_DSP)
-
- /* Run the below code for Cortex-M4 and Cortex-M3 */
-
- float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
- float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
- Ybminusd;
- float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
- float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
- float32_t *ptr1;
- float32_t p0,p1,p2,p3,p4,p5;
- float32_t a0,a1,a2,a3,a4,a5,a6,a7;
-
- /* Initializations for the first stage */
- n2 = fftLen;
- n1 = n2;
-
- /* n2 = fftLen/4 */
- n2 >>= 2U;
- i0 = 0U;
- ia1 = 0U;
-
- j = n2;
-
- /* Calculation of first stage */
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- xaIn = pSrc[(2U * i0)];
- yaIn = pSrc[(2U * i0) + 1U];
-
- xbIn = pSrc[(2U * i1)];
- ybIn = pSrc[(2U * i1) + 1U];
-
- xcIn = pSrc[(2U * i2)];
- ycIn = pSrc[(2U * i2) + 1U];
-
- xdIn = pSrc[(2U * i3)];
- ydIn = pSrc[(2U * i3) + 1U];
-
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
- /* xb - xd */
- Xbminusd = xbIn - xdIn;
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
- /* yb - yd */
- Ybminusd = ybIn - ydIn;
-
- /* xa' = xa + xb + xc + xd */
- pSrc[(2U * i0)] = Xaplusc + Xbplusd;
- /* ya' = ya + yb + yc + yd */
- pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
-
- /* (xa - xc) + (yb - yd) */
- Xb12C_out = (Xaminusc + Ybminusd);
- /* (ya - yc) + (xb - xd) */
- Yb12C_out = (Yaminusc - Xbminusd);
- /* (xa + xc) - (xb + xd) */
- Xc12C_out = (Xaplusc - Xbplusd);
- /* (ya + yc) - (yb + yd) */
- Yc12C_out = (Yaplusc - Ybplusd);
- /* (xa - xc) - (yb - yd) */
- Xd12C_out = (Xaminusc - Ybminusd);
- /* (ya - yc) + (xb - xd) */
- Yd12C_out = (Xbminusd + Yaminusc);
-
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
-
- /* index calculation for the coefficients */
- ia3 = ia2 + ia1;
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- Xb12_out = Xb12C_out * co1;
- Yb12_out = Yb12C_out * co1;
- Xc12_out = Xc12C_out * co2;
- Yc12_out = Yc12C_out * co2;
- Xd12_out = Xd12C_out * co3;
- Yd12_out = Yd12C_out * co3;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- //Xb12_out -= Yb12C_out * si1;
- p0 = Yb12C_out * si1;
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- //Yb12_out += Xb12C_out * si1;
- p1 = Xb12C_out * si1;
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- //Xc12_out -= Yc12C_out * si2;
- p2 = Yc12C_out * si2;
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- //Yc12_out += Xc12C_out * si2;
- p3 = Xc12C_out * si2;
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- //Xd12_out -= Yd12C_out * si3;
- p4 = Yd12C_out * si3;
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- //Yd12_out += Xd12C_out * si3;
- p5 = Xd12C_out * si3;
-
- Xb12_out += p0;
- Yb12_out -= p1;
- Xc12_out += p2;
- Yc12_out -= p3;
- Xd12_out += p4;
- Yd12_out -= p5;
-
- /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = Xc12_out;
-
- /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = Yc12_out;
-
- /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = Xb12_out;
-
- /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = Yb12_out;
-
- /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = Xd12_out;
-
- /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = Yd12_out;
-
- /* Twiddle coefficients index modifier */
- ia1 += twidCoefModifier;
-
- /* Updating input index */
- i0++;
-
- }
- while (--j);
-
- twidCoefModifier <<= 2U;
-
- /* Calculation of second stage to excluding last stage */
- for (k = fftLen >> 2U; k > 4U; k >>= 2U)
- {
- /* Initializations for the first stage */
- n1 = n2;
- n2 >>= 2U;
- ia1 = 0U;
-
- /* Calculation of first stage */
- j = 0;
- do
- {
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- ia3 = ia2 + ia1;
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- /* Twiddle coefficients index modifier */
- ia1 += twidCoefModifier;
-
- i0 = j;
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- xaIn = pSrc[(2U * i0)];
- yaIn = pSrc[(2U * i0) + 1U];
-
- xbIn = pSrc[(2U * i1)];
- ybIn = pSrc[(2U * i1) + 1U];
-
- xcIn = pSrc[(2U * i2)];
- ycIn = pSrc[(2U * i2) + 1U];
-
- xdIn = pSrc[(2U * i3)];
- ydIn = pSrc[(2U * i3) + 1U];
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
- /* (xb - xd) */
- Xbminusd = xbIn - xdIn;
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
- /* (yb - yd) */
- Ybminusd = ybIn - ydIn;
-
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* (xa - xc) + (yb - yd) */
- Xb12C_out = (Xaminusc + Ybminusd);
- /* (ya - yc) - (xb - xd) */
- Yb12C_out = (Yaminusc - Xbminusd);
- /* xa + xc -(xb + xd) */
- Xc12C_out = (Xaplusc - Xbplusd);
- /* (ya + yc) - (yb + yd) */
- Yc12C_out = (Yaplusc - Ybplusd);
- /* (xa - xc) - (yb - yd) */
- Xd12C_out = (Xaminusc - Ybminusd);
- /* (ya - yc) + (xb - xd) */
- Yd12C_out = (Xbminusd + Yaminusc);
-
- pSrc[(2U * i0)] = Xaplusc + Xbplusd;
- pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
-
- Xb12_out = Xb12C_out * co1;
- Yb12_out = Yb12C_out * co1;
- Xc12_out = Xc12C_out * co2;
- Yc12_out = Yc12C_out * co2;
- Xd12_out = Xd12C_out * co3;
- Yd12_out = Yd12C_out * co3;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- //Xb12_out -= Yb12C_out * si1;
- p0 = Yb12C_out * si1;
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- //Yb12_out += Xb12C_out * si1;
- p1 = Xb12C_out * si1;
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- //Xc12_out -= Yc12C_out * si2;
- p2 = Yc12C_out * si2;
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- //Yc12_out += Xc12C_out * si2;
- p3 = Xc12C_out * si2;
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- //Xd12_out -= Yd12C_out * si3;
- p4 = Yd12C_out * si3;
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- //Yd12_out += Xd12C_out * si3;
- p5 = Xd12C_out * si3;
-
- Xb12_out += p0;
- Yb12_out -= p1;
- Xc12_out += p2;
- Yc12_out -= p3;
- Xd12_out += p4;
- Yd12_out -= p5;
-
- /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = Xc12_out;
-
- /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = Yc12_out;
-
- /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = Xb12_out;
-
- /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = Yb12_out;
-
- /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = Xd12_out;
-
- /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = Yd12_out;
-
- i0 += n1;
- } while (i0 < fftLen);
- j++;
- } while (j <= (n2 - 1U));
- twidCoefModifier <<= 2U;
- }
-
- j = fftLen >> 2;
- ptr1 = &pSrc[0];
-
- /* Calculations of last stage */
- do
- {
- xaIn = ptr1[0];
- yaIn = ptr1[1];
- xbIn = ptr1[2];
- ybIn = ptr1[3];
- xcIn = ptr1[4];
- ycIn = ptr1[5];
- xdIn = ptr1[6];
- ydIn = ptr1[7];
-
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
-
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
-
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
-
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
-
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* (xb-xd) */
- Xbminusd = xbIn - xdIn;
-
- /* (yb-yd) */
- Ybminusd = ybIn - ydIn;
-
- /* xa' = xa + xb + xc + xd */
- a0 = (Xaplusc + Xbplusd);
- /* ya' = ya + yb + yc + yd */
- a1 = (Yaplusc + Ybplusd);
- /* xc' = (xa-xb+xc-xd) */
- a2 = (Xaplusc - Xbplusd);
- /* yc' = (ya-yb+yc-yd) */
- a3 = (Yaplusc - Ybplusd);
- /* xb' = (xa+yb-xc-yd) */
- a4 = (Xaminusc + Ybminusd);
- /* yb' = (ya-xb-yc+xd) */
- a5 = (Yaminusc - Xbminusd);
- /* xd' = (xa-yb-xc+yd)) */
- a6 = (Xaminusc - Ybminusd);
- /* yd' = (ya+xb-yc-xd) */
- a7 = (Xbminusd + Yaminusc);
-
- ptr1[0] = a0;
- ptr1[1] = a1;
- ptr1[2] = a2;
- ptr1[3] = a3;
- ptr1[4] = a4;
- ptr1[5] = a5;
- ptr1[6] = a6;
- ptr1[7] = a7;
-
- /* increment pointer by 8 */
- ptr1 += 8U;
- } while (--j);
-
-#else
-
- float32_t t1, t2, r1, r2, s1, s2;
-
- /* Run the below code for Cortex-M0 */
-
- /* Initializations for the fft calculation */
- n2 = fftLen;
- n1 = n2;
- for (k = fftLen; k > 1U; k >>= 2U)
- {
- /* Initializations for the fft calculation */
- n1 = n2;
- n2 >>= 2U;
- ia1 = 0U;
-
- /* FFT Calculation */
- j = 0;
- do
- {
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- ia3 = ia2 + ia1;
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- /* Twiddle coefficients index modifier */
- ia1 = ia1 + twidCoefModifier;
-
- i0 = j;
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- /* xa + xc */
- r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
-
- /* xa - xc */
- r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
-
- /* ya + yc */
- s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
-
- /* ya - yc */
- s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
-
- /* xb + xd */
- t1 = pSrc[2U * i1] + pSrc[2U * i3];
-
- /* xa' = xa + xb + xc + xd */
- pSrc[2U * i0] = r1 + t1;
-
- /* xa + xc -(xb + xd) */
- r1 = r1 - t1;
-
- /* yb + yd */
- t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
-
- /* ya' = ya + yb + yc + yd */
- pSrc[(2U * i0) + 1U] = s1 + t2;
-
- /* (ya + yc) - (yb + yd) */
- s1 = s1 - t2;
-
- /* (yb - yd) */
- t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
-
- /* (xb - xd) */
- t2 = pSrc[2U * i1] - pSrc[2U * i3];
-
- /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = (r1 * co2) + (s1 * si2);
-
- /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2);
-
- /* (xa - xc) + (yb - yd) */
- r1 = r2 + t1;
-
- /* (xa - xc) - (yb - yd) */
- r2 = r2 - t1;
-
- /* (ya - yc) - (xb - xd) */
- s1 = s2 - t2;
-
- /* (ya - yc) + (xb - xd) */
- s2 = s2 + t2;
-
- /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = (r1 * co1) + (s1 * si1);
-
- /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1);
-
- /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = (r2 * co3) + (s2 * si3);
-
- /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3);
-
- i0 += n1;
- } while ( i0 < fftLen);
- j++;
- } while (j <= (n2 - 1U));
- twidCoefModifier <<= 2U;
- }
-
-#endif /* #if defined (ARM_MATH_DSP) */
-
-}
-
-/*
-* @brief Core function for the floating-point CIFFT butterfly process.
-* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
-* @param[in] fftLen length of the FFT.
-* @param[in] *pCoef points to twiddle coefficient buffer.
-* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
-* @param[in] onebyfftLen value of 1/fftLen.
-* @return none.
-*/
-
-void arm_radix4_butterfly_inverse_f32(
-float32_t * pSrc,
-uint16_t fftLen,
-float32_t * pCoef,
-uint16_t twidCoefModifier,
-float32_t onebyfftLen)
-{
- float32_t co1, co2, co3, si1, si2, si3;
- uint32_t ia1, ia2, ia3;
- uint32_t i0, i1, i2, i3;
- uint32_t n1, n2, j, k;
-
-#if defined (ARM_MATH_DSP)
-
- float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
- float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
- Ybminusd;
- float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
- float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
- float32_t *ptr1;
- float32_t p0,p1,p2,p3,p4,p5,p6,p7;
- float32_t a0,a1,a2,a3,a4,a5,a6,a7;
-
-
- /* Initializations for the first stage */
- n2 = fftLen;
- n1 = n2;
-
- /* n2 = fftLen/4 */
- n2 >>= 2U;
- i0 = 0U;
- ia1 = 0U;
-
- j = n2;
-
- /* Calculation of first stage */
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- /* Butterfly implementation */
- xaIn = pSrc[(2U * i0)];
- yaIn = pSrc[(2U * i0) + 1U];
-
- xcIn = pSrc[(2U * i2)];
- ycIn = pSrc[(2U * i2) + 1U];
-
- xbIn = pSrc[(2U * i1)];
- ybIn = pSrc[(2U * i1) + 1U];
-
- xdIn = pSrc[(2U * i3)];
- ydIn = pSrc[(2U * i3) + 1U];
-
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
- /* xb - xd */
- Xbminusd = xbIn - xdIn;
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
- /* yb - yd */
- Ybminusd = ybIn - ydIn;
-
- /* xa' = xa + xb + xc + xd */
- pSrc[(2U * i0)] = Xaplusc + Xbplusd;
-
- /* ya' = ya + yb + yc + yd */
- pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
-
- /* (xa - xc) - (yb - yd) */
- Xb12C_out = (Xaminusc - Ybminusd);
- /* (ya - yc) + (xb - xd) */
- Yb12C_out = (Yaminusc + Xbminusd);
- /* (xa + xc) - (xb + xd) */
- Xc12C_out = (Xaplusc - Xbplusd);
- /* (ya + yc) - (yb + yd) */
- Yc12C_out = (Yaplusc - Ybplusd);
- /* (xa - xc) + (yb - yd) */
- Xd12C_out = (Xaminusc + Ybminusd);
- /* (ya - yc) - (xb - xd) */
- Yd12C_out = (Yaminusc - Xbminusd);
-
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
-
- /* index calculation for the coefficients */
- ia3 = ia2 + ia1;
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- Xb12_out = Xb12C_out * co1;
- Yb12_out = Yb12C_out * co1;
- Xc12_out = Xc12C_out * co2;
- Yc12_out = Yc12C_out * co2;
- Xd12_out = Xd12C_out * co3;
- Yd12_out = Yd12C_out * co3;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- //Xb12_out -= Yb12C_out * si1;
- p0 = Yb12C_out * si1;
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- //Yb12_out += Xb12C_out * si1;
- p1 = Xb12C_out * si1;
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- //Xc12_out -= Yc12C_out * si2;
- p2 = Yc12C_out * si2;
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- //Yc12_out += Xc12C_out * si2;
- p3 = Xc12C_out * si2;
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- //Xd12_out -= Yd12C_out * si3;
- p4 = Yd12C_out * si3;
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- //Yd12_out += Xd12C_out * si3;
- p5 = Xd12C_out * si3;
-
- Xb12_out -= p0;
- Yb12_out += p1;
- Xc12_out -= p2;
- Yc12_out += p3;
- Xd12_out -= p4;
- Yd12_out += p5;
-
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = Xc12_out;
-
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = Yc12_out;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = Xb12_out;
-
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = Yb12_out;
-
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = Xd12_out;
-
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = Yd12_out;
-
- /* Twiddle coefficients index modifier */
- ia1 = ia1 + twidCoefModifier;
-
- /* Updating input index */
- i0 = i0 + 1U;
-
- } while (--j);
-
- twidCoefModifier <<= 2U;
-
- /* Calculation of second stage to excluding last stage */
- for (k = fftLen >> 2U; k > 4U; k >>= 2U)
- {
- /* Initializations for the first stage */
- n1 = n2;
- n2 >>= 2U;
- ia1 = 0U;
-
- /* Calculation of first stage */
- j = 0;
- do
- {
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- ia3 = ia2 + ia1;
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- /* Twiddle coefficients index modifier */
- ia1 = ia1 + twidCoefModifier;
-
- i0 = j;
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- xaIn = pSrc[(2U * i0)];
- yaIn = pSrc[(2U * i0) + 1U];
-
- xbIn = pSrc[(2U * i1)];
- ybIn = pSrc[(2U * i1) + 1U];
-
- xcIn = pSrc[(2U * i2)];
- ycIn = pSrc[(2U * i2) + 1U];
-
- xdIn = pSrc[(2U * i3)];
- ydIn = pSrc[(2U * i3) + 1U];
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
- /* (xb - xd) */
- Xbminusd = xbIn - xdIn;
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
- /* (yb - yd) */
- Ybminusd = ybIn - ydIn;
-
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* (xa - xc) - (yb - yd) */
- Xb12C_out = (Xaminusc - Ybminusd);
- /* (ya - yc) + (xb - xd) */
- Yb12C_out = (Yaminusc + Xbminusd);
- /* xa + xc -(xb + xd) */
- Xc12C_out = (Xaplusc - Xbplusd);
- /* (ya + yc) - (yb + yd) */
- Yc12C_out = (Yaplusc - Ybplusd);
- /* (xa - xc) + (yb - yd) */
- Xd12C_out = (Xaminusc + Ybminusd);
- /* (ya - yc) - (xb - xd) */
- Yd12C_out = (Yaminusc - Xbminusd);
-
- pSrc[(2U * i0)] = Xaplusc + Xbplusd;
- pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
-
- Xb12_out = Xb12C_out * co1;
- Yb12_out = Yb12C_out * co1;
- Xc12_out = Xc12C_out * co2;
- Yc12_out = Yc12C_out * co2;
- Xd12_out = Xd12C_out * co3;
- Yd12_out = Yd12C_out * co3;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- //Xb12_out -= Yb12C_out * si1;
- p0 = Yb12C_out * si1;
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- //Yb12_out += Xb12C_out * si1;
- p1 = Xb12C_out * si1;
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- //Xc12_out -= Yc12C_out * si2;
- p2 = Yc12C_out * si2;
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- //Yc12_out += Xc12C_out * si2;
- p3 = Xc12C_out * si2;
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- //Xd12_out -= Yd12C_out * si3;
- p4 = Yd12C_out * si3;
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- //Yd12_out += Xd12C_out * si3;
- p5 = Xd12C_out * si3;
-
- Xb12_out -= p0;
- Yb12_out += p1;
- Xc12_out -= p2;
- Yc12_out += p3;
- Xd12_out -= p4;
- Yd12_out += p5;
-
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = Xc12_out;
-
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = Yc12_out;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = Xb12_out;
-
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = Yb12_out;
-
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = Xd12_out;
-
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = Yd12_out;
-
- i0 += n1;
- } while (i0 < fftLen);
- j++;
- } while (j <= (n2 - 1U));
- twidCoefModifier <<= 2U;
- }
- /* Initializations of last stage */
-
- j = fftLen >> 2;
- ptr1 = &pSrc[0];
-
- /* Calculations of last stage */
- do
- {
- xaIn = ptr1[0];
- yaIn = ptr1[1];
- xbIn = ptr1[2];
- ybIn = ptr1[3];
- xcIn = ptr1[4];
- ycIn = ptr1[5];
- xdIn = ptr1[6];
- ydIn = ptr1[7];
-
- /* Butterfly implementation */
- /* xa + xc */
- Xaplusc = xaIn + xcIn;
-
- /* xa - xc */
- Xaminusc = xaIn - xcIn;
-
- /* ya + yc */
- Yaplusc = yaIn + ycIn;
-
- /* ya - yc */
- Yaminusc = yaIn - ycIn;
-
- /* xb + xd */
- Xbplusd = xbIn + xdIn;
-
- /* yb + yd */
- Ybplusd = ybIn + ydIn;
-
- /* (xb-xd) */
- Xbminusd = xbIn - xdIn;
-
- /* (yb-yd) */
- Ybminusd = ybIn - ydIn;
-
- /* xa' = (xa+xb+xc+xd) * onebyfftLen */
- a0 = (Xaplusc + Xbplusd);
- /* ya' = (ya+yb+yc+yd) * onebyfftLen */
- a1 = (Yaplusc + Ybplusd);
- /* xc' = (xa-xb+xc-xd) * onebyfftLen */
- a2 = (Xaplusc - Xbplusd);
- /* yc' = (ya-yb+yc-yd) * onebyfftLen */
- a3 = (Yaplusc - Ybplusd);
- /* xb' = (xa-yb-xc+yd) * onebyfftLen */
- a4 = (Xaminusc - Ybminusd);
- /* yb' = (ya+xb-yc-xd) * onebyfftLen */
- a5 = (Yaminusc + Xbminusd);
- /* xd' = (xa-yb-xc+yd) * onebyfftLen */
- a6 = (Xaminusc + Ybminusd);
- /* yd' = (ya-xb-yc+xd) * onebyfftLen */
- a7 = (Yaminusc - Xbminusd);
-
- p0 = a0 * onebyfftLen;
- p1 = a1 * onebyfftLen;
- p2 = a2 * onebyfftLen;
- p3 = a3 * onebyfftLen;
- p4 = a4 * onebyfftLen;
- p5 = a5 * onebyfftLen;
- p6 = a6 * onebyfftLen;
- p7 = a7 * onebyfftLen;
-
- /* xa' = (xa+xb+xc+xd) * onebyfftLen */
- ptr1[0] = p0;
- /* ya' = (ya+yb+yc+yd) * onebyfftLen */
- ptr1[1] = p1;
- /* xc' = (xa-xb+xc-xd) * onebyfftLen */
- ptr1[2] = p2;
- /* yc' = (ya-yb+yc-yd) * onebyfftLen */
- ptr1[3] = p3;
- /* xb' = (xa-yb-xc+yd) * onebyfftLen */
- ptr1[4] = p4;
- /* yb' = (ya+xb-yc-xd) * onebyfftLen */
- ptr1[5] = p5;
- /* xd' = (xa-yb-xc+yd) * onebyfftLen */
- ptr1[6] = p6;
- /* yd' = (ya-xb-yc+xd) * onebyfftLen */
- ptr1[7] = p7;
-
- /* increment source pointer by 8 for next calculations */
- ptr1 = ptr1 + 8U;
-
- } while (--j);
-
-#else
-
- float32_t t1, t2, r1, r2, s1, s2;
-
- /* Run the below code for Cortex-M0 */
-
- /* Initializations for the first stage */
- n2 = fftLen;
- n1 = n2;
-
- /* Calculation of first stage */
- for (k = fftLen; k > 4U; k >>= 2U)
- {
- /* Initializations for the first stage */
- n1 = n2;
- n2 >>= 2U;
- ia1 = 0U;
-
- /* Calculation of first stage */
- j = 0;
- do
- {
- /* index calculation for the coefficients */
- ia2 = ia1 + ia1;
- ia3 = ia2 + ia1;
- co1 = pCoef[ia1 * 2U];
- si1 = pCoef[(ia1 * 2U) + 1U];
- co2 = pCoef[ia2 * 2U];
- si2 = pCoef[(ia2 * 2U) + 1U];
- co3 = pCoef[ia3 * 2U];
- si3 = pCoef[(ia3 * 2U) + 1U];
-
- /* Twiddle coefficients index modifier */
- ia1 = ia1 + twidCoefModifier;
-
- i0 = j;
- do
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- /* xa + xc */
- r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
-
- /* xa - xc */
- r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
-
- /* ya + yc */
- s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
-
- /* ya - yc */
- s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
-
- /* xb + xd */
- t1 = pSrc[2U * i1] + pSrc[2U * i3];
-
- /* xa' = xa + xb + xc + xd */
- pSrc[2U * i0] = r1 + t1;
-
- /* xa + xc -(xb + xd) */
- r1 = r1 - t1;
-
- /* yb + yd */
- t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
-
- /* ya' = ya + yb + yc + yd */
- pSrc[(2U * i0) + 1U] = s1 + t2;
-
- /* (ya + yc) - (yb + yd) */
- s1 = s1 - t2;
-
- /* (yb - yd) */
- t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
-
- /* (xb - xd) */
- t2 = pSrc[2U * i1] - pSrc[2U * i3];
-
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = (r1 * co2) - (s1 * si2);
-
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = (s1 * co2) + (r1 * si2);
-
- /* (xa - xc) - (yb - yd) */
- r1 = r2 - t1;
-
- /* (xa - xc) + (yb - yd) */
- r2 = r2 + t1;
-
- /* (ya - yc) + (xb - xd) */
- s1 = s2 + t2;
-
- /* (ya - yc) - (xb - xd) */
- s2 = s2 - t2;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = (r1 * co1) - (s1 * si1);
-
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = (s1 * co1) + (r1 * si1);
-
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = (r2 * co3) - (s2 * si3);
-
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = (s2 * co3) + (r2 * si3);
-
- i0 += n1;
- } while ( i0 < fftLen);
- j++;
- } while (j <= (n2 - 1U));
- twidCoefModifier <<= 2U;
- }
- /* Initializations of last stage */
- n1 = n2;
- n2 >>= 2U;
-
- /* Calculations of last stage */
- for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
- {
- /* index calculation for the input as, */
- /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
- i1 = i0 + n2;
- i2 = i1 + n2;
- i3 = i2 + n2;
-
- /* Butterfly implementation */
- /* xa + xc */
- r1 = pSrc[2U * i0] + pSrc[2U * i2];
-
- /* xa - xc */
- r2 = pSrc[2U * i0] - pSrc[2U * i2];
-
- /* ya + yc */
- s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
-
- /* ya - yc */
- s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
-
- /* xc + xd */
- t1 = pSrc[2U * i1] + pSrc[2U * i3];
-
- /* xa' = xa + xb + xc + xd */
- pSrc[2U * i0] = (r1 + t1) * onebyfftLen;
-
- /* (xa + xb) - (xc + xd) */
- r1 = r1 - t1;
-
- /* yb + yd */
- t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
-
- /* ya' = ya + yb + yc + yd */
- pSrc[(2U * i0) + 1U] = (s1 + t2) * onebyfftLen;
-
- /* (ya + yc) - (yb + yd) */
- s1 = s1 - t2;
-
- /* (yb-yd) */
- t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
-
- /* (xb-xd) */
- t2 = pSrc[2U * i1] - pSrc[2U * i3];
-
- /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
- pSrc[2U * i1] = r1 * onebyfftLen;
-
- /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
- pSrc[(2U * i1) + 1U] = s1 * onebyfftLen;
-
- /* (xa - xc) - (yb-yd) */
- r1 = r2 - t1;
-
- /* (xa - xc) + (yb-yd) */
- r2 = r2 + t1;
-
- /* (ya - yc) + (xb-xd) */
- s1 = s2 + t2;
-
- /* (ya - yc) - (xb-xd) */
- s2 = s2 - t2;
-
- /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
- pSrc[2U * i2] = r1 * onebyfftLen;
-
- /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
- pSrc[(2U * i2) + 1U] = s1 * onebyfftLen;
-
- /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
- pSrc[2U * i3] = r2 * onebyfftLen;
-
- /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
- pSrc[(2U * i3) + 1U] = s2 * onebyfftLen;
- }
-
-#endif /* #if defined (ARM_MATH_DSP) */
-}
-
-