/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_cfft_radix8_f32.c
* Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function
*
* $Date: 18. March 2019
* $Revision: V1.6.0
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2019 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"
/* ----------------------------------------------------------------------
* 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_radix8_butterfly_f32(
float32_t * pSrc,
uint16_t fftLen,
const float32_t * pCoef,
uint16_t twidCoefModifier)
{
uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
uint32_t id;
uint32_t n1, n2, j;
float32_t r1, r2, r3, r4, r5, r6, r7, r8;
float32_t t1, t2;
float32_t s1, s2, s3, s4, s5, s6, s7, s8;
float32_t p1, p2, p3, p4;
float32_t co2, co3, co4, co5, co6, co7, co8;
float32_t si2, si3, si4, si5, si6, si7, si8;
const float32_t C81 = 0.70710678118f;
n2 = fftLen;
do
{
n1 = n2;
n2 = n2 >> 3;
i1 = 0;
do
{
i2 = i1 + n2;
i3 = i2 + n2;
i4 = i3 + n2;
i5 = i4 + n2;
i6 = i5 + n2;
i7 = i6 + n2;
i8 = i7 + n2;
r1 = pSrc[2 * i1] + pSrc[2 * i5];
r5 = pSrc[2 * i1] - pSrc[2 * i5];
r2 = pSrc[2 * i2] + pSrc[2 * i6];
r6 = pSrc[2 * i2] - pSrc[2 * i6];
r3 = pSrc[2 * i3] + pSrc[2 * i7];
r7 = pSrc[2 * i3] - pSrc[2 * i7];
r4 = pSrc[2 * i4] + pSrc[2 * i8];
r8 = pSrc[2 * i4] - pSrc[2 * i8];
t1 = r1 - r3;
r1 = r1 + r3;
r3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1] = r1 + r2;
pSrc[2 * i5] = r1 - r2;
r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
t2 = r1 - s3;
r1 = r1 + s3;
s3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1 + 1] = r1 + r2;
pSrc[2 * i5 + 1] = r1 - r2;
pSrc[2 * i3] = t1 + s3;
pSrc[2 * i7] = t1 - s3;
pSrc[2 * i3 + 1] = t2 - r3;
pSrc[2 * i7 + 1] = t2 + r3;
r1 = (r6 - r8) * C81;
r6 = (r6 + r8) * C81;
r2 = (s6 - s8) * C81;
s6 = (s6 + s8) * C81;
t1 = r5 - r1;
r5 = r5 + r1;
r8 = r7 - r6;
r7 = r7 + r6;
t2 = s5 - r2;
s5 = s5 + r2;
s8 = s7 - s6;
s7 = s7 + s6;
pSrc[2 * i2] = r5 + s7;
pSrc[2 * i8] = r5 - s7;
pSrc[2 * i6] = t1 + s8;
pSrc[2 * i4] = t1 - s8;
pSrc[2 * i2 + 1] = s5 - r7;
pSrc[2 * i8 + 1] = s5 + r7;
pSrc[2 * i6 + 1] = t2 - r8;
pSrc[2 * i4 + 1] = t2 + r8;
i1 += n1;
} while (i1 < fftLen);
if (n2 < 8)
break;
ia1 = 0;
j = 1;
do
{
/* index calculation for the coefficients */
id = ia1 + twidCoefModifier;
ia1 = id;
ia2 = ia1 + id;
ia3 = ia2 + id;
ia4 = ia3 + id;
ia5 = ia4 + id;
ia6 = ia5 + id;
ia7 = ia6 + id;
co2 = pCoef[2 * ia1];
co3 = pCoef[2 * ia2];
co4 = pCoef[2 * ia3];
co5 = pCoef[2 * ia4];
co6 = pCoef[2 * ia5];
co7 = pCoef[2 * ia6];
co8 = pCoef[2 * ia7];
si2 = pCoef[2 * ia1 + 1];
si3 = pCoef[2 * ia2 + 1];
si4 = pCoef[2 * ia3 + 1];
si5 = pCoef[2 * ia4 + 1];
si6 = pCoef[2 * ia5 + 1];
si7 = pCoef[2 * ia6 + 1];
si8 = pCoef[2 * ia7 + 1];
i1 = j;
do
{
/* index calculation for the input */
i2 = i1 + n2;
i3 = i2 + n2;
i4 = i3 + n2;
i5 = i4 + n2;
i6 = i5 + n2;
i7 = i6 + n2;
i8 = i7 + n2;
r1 = pSrc[2 * i1] + pSrc[2 * i5];
r5 = pSrc[2 * i1] - pSrc[2 * i5];
r2 = pSrc[2 * i2] + pSrc[2 * i6];
r6 = pSrc[2 * i2] - pSrc[2 * i6];
r3 = pSrc[2 * i3] + pSrc[2 * i7];
r7 = pSrc[2 * i3] - pSrc[2 * i7];
r4 = pSrc[2 * i4] + pSrc[2 * i8];
r8 = pSrc[2 * i4] - pSrc[2 * i8];
t1 = r1 - r3;
r1 = r1 + r3;
r3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1] = r1 + r2;
r2 = r1 - r2;
s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
t2 = s1 - s3;
s1 = s1 + s3;
s3 = s2 - s4;
s2 = s2 + s4;
r1 = t1 + s3;
t1 = t1 - s3;
pSrc[2 * i1 + 1] = s1 + s2;
s2 = s1 - s2;
s1 = t2 - r3;
t2 = t2 + r3;
p1 = co5 * r2;
p2 = si5 * s2;
p3 = co5 * s2;
p4 = si5 * r2;
pSrc[2 * i5] = p1 + p2;
pSrc[2 * i5 + 1] = p3 - p4;
p1 = co3 * r1;
p2 = si3 * s1;
p3 = co3 * s1;
p4 = si3 * r1;
pSrc[2 * i3] = p1 + p2;
pSrc[2 * i3 + 1] = p3 - p4;
p1 = co7 * t1;
p2 = si7 * t2;
p3 = co7 * t2;
p4 = si7 * t1;
pSrc[2 * i7] = p1 + p2;
pSrc[2 * i7 + 1] = p3 - p4;
r1 = (r6 - r8) * C81;
r6 = (r6 + r8) * C81;
s1 = (s6 - s8) * C81;
s6 = (s6 + s8) * C81;
t1 = r5 - r1;
r5 = r5 + r1;
r8 = r7 - r6;
r7 = r7 + r6;
t2 = s5 - s1;
s5 = s5 + s1;
s8 = s7 - s6;
s7 = s7 + s6;
r1 = r5 + s7;
r5 = r5 - s7;
r6 = t1 + s8;
t1 = t1 - s8;
s1 = s5 - r7;
s5 = s5 + r7;
s6 = t2 - r8;
t2 = t2 + r8;
p1 = co2 * r1;
p2 = si2 * s1;
p3 = co2 * s1;
p4 = si2 * r1;
pSrc[2 * i2] = p1 + p2;
pSrc[2 * i2 + 1] = p3 - p4;
p1 = co8 * r5;
p2 = si8 * s5;
p3 = co8 * s5;
p4 = si8 * r5;
pSrc[2 * i8] = p1 + p2;
pSrc[2 * i8 + 1] = p3 - p4;
p1 = co6 * r6;
p2 = si6 * s6;
p3 = co6 * s6;
p4 = si6 * r6;
pSrc[2 * i6] = p1 + p2;
pSrc[2 * i6 + 1] = p3 - p4;
p1 = co4 * t1;
p2 = si4 * t2;
p3 = co4 * t2;
p4 = si4 * t1;
pSrc[2 * i4] = p1 + p2;
pSrc[2 * i4 + 1] = p3 - p4;
i1 += n1;
} while (i1 < fftLen);
j++;
} while (j < n2);
twidCoefModifier <<= 3;
} while (n2 > 7);
}
