894 lines
24 KiB
C
894 lines
24 KiB
C
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/* ----------------------------------------------------------------------
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* Project: CMSIS DSP Library
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* Title: arm_cfft_q15.c
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* Description: Combined Radix Decimation in Q15 Frequency CFFT processing 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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#include "dsp/transform_functions.h"
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#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
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#include "arm_vec_fft.h"
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static void _arm_radix4_butterfly_q15_mve(
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const arm_cfft_instance_q15 * S,
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q15_t *pSrc,
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uint32_t fftLen)
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{
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q15x8_t vecTmp0, vecTmp1;
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q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1;
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q15x8_t vecA, vecB, vecC, vecD;
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uint32_t blkCnt;
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uint32_t n1, n2;
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uint32_t stage = 0;
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int32_t iter = 1;
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static const int32_t strides[4] = {
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(0 - 16) * (int32_t)sizeof(q15_t *), (4 - 16) * (int32_t)sizeof(q15_t *),
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(8 - 16) * (int32_t)sizeof(q15_t *), (12 - 16) * (int32_t)sizeof(q15_t *)
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};
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/*
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* Process first stages
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* Each stage in middle stages provides two down scaling of the input
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*/
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n2 = fftLen;
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n1 = n2;
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n2 >>= 2u;
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for (int k = fftLen / 4u; k > 1; k >>= 2u)
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{
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q15_t const *p_rearranged_twiddle_tab_stride2 =
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&S->rearranged_twiddle_stride2[
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S->rearranged_twiddle_tab_stride2_arr[stage]];
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q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[
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S->rearranged_twiddle_tab_stride3_arr[stage]];
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q15_t const *p_rearranged_twiddle_tab_stride1 =
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&S->rearranged_twiddle_stride1[
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S->rearranged_twiddle_tab_stride1_arr[stage]];
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q15_t * pBase = pSrc;
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for (int i = 0; i < iter; i++)
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{
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q15_t *inA = pBase;
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q15_t *inB = inA + n2 * CMPLX_DIM;
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q15_t *inC = inB + n2 * CMPLX_DIM;
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q15_t *inD = inC + n2 * CMPLX_DIM;
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q15_t const *pW1 = p_rearranged_twiddle_tab_stride1;
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q15_t const *pW2 = p_rearranged_twiddle_tab_stride2;
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q15_t const *pW3 = p_rearranged_twiddle_tab_stride3;
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q15x8_t vecW;
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blkCnt = n2 / 4;
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/*
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* load 4 x q15 complex pair
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*/
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vecA = vldrhq_s16(inA);
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vecC = vldrhq_s16(inC);
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while (blkCnt > 0U)
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{
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vecB = vldrhq_s16(inB);
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vecD = vldrhq_s16(inD);
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vecSum0 = vhaddq(vecA, vecC);
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vecDiff0 = vhsubq(vecA, vecC);
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vecSum1 = vhaddq(vecB, vecD);
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vecDiff1 = vhsubq(vecB, vecD);
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/*
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* [ 1 1 1 1 ] * [ A B C D ]' .* 1
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*/
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vecTmp0 = vhaddq(vecSum0, vecSum1);
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vst1q(inA, vecTmp0);
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inA += 8;
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/*
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* [ 1 -1 1 -1 ] * [ A B C D ]'
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*/
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vecTmp0 = vhsubq(vecSum0, vecSum1);
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/*
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* [ 1 -1 1 -1 ] * [ A B C D ]'.* W2
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*/
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vecW = vld1q(pW2);
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pW2 += 8;
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vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0, q15x8_t);
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vst1q(inB, vecTmp1);
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inB += 8;
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/*
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* [ 1 -i -1 +i ] * [ A B C D ]'
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*/
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vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
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/*
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* [ 1 -i -1 +i ] * [ A B C D ]'.* W1
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*/
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vecW = vld1q(pW1);
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pW1 += 8;
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vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0, q15x8_t);
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vst1q(inC, vecTmp1);
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inC += 8;
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/*
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* [ 1 +i -1 -i ] * [ A B C D ]'
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*/
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vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
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/*
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* [ 1 +i -1 -i ] * [ A B C D ]'.* W3
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*/
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vecW = vld1q(pW3);
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pW3 += 8;
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vecTmp1 = MVE_CMPLX_MULT_FX_AxB(vecW, vecTmp0, q15x8_t);
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vst1q(inD, vecTmp1);
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inD += 8;
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vecA = vldrhq_s16(inA);
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vecC = vldrhq_s16(inC);
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blkCnt--;
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}
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pBase += CMPLX_DIM * n1;
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}
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n1 = n2;
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n2 >>= 2u;
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iter = iter << 2;
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stage++;
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}
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/*
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* start of Last stage process
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*/
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uint32x4_t vecScGathAddr = vld1q_u32 ((uint32_t*)strides);
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vecScGathAddr = vecScGathAddr + (uint32_t) pSrc;
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/*
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* load scheduling
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*/
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vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
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vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8);
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blkCnt = (fftLen >> 4);
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while (blkCnt > 0U)
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{
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vecSum0 = vhaddq(vecA, vecC);
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vecDiff0 = vhsubq(vecA, vecC);
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vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4);
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vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12);
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vecSum1 = vhaddq(vecB, vecD);
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vecDiff1 = vhsubq(vecB, vecD);
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/*
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* pre-load for next iteration
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*/
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vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
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vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8);
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vecTmp0 = vhaddq(vecSum0, vecSum1);
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vstrwq_scatter_base_s32(vecScGathAddr, -64, (int32x4_t) vecTmp0);
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vecTmp0 = vhsubq(vecSum0, vecSum1);
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vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (int32x4_t) vecTmp0);
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vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
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vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (int32x4_t) vecTmp0);
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vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
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vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (int32x4_t) vecTmp0);
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blkCnt--;
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}
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}
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static void arm_cfft_radix4by2_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen)
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{
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uint32_t n2;
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q15_t *pIn0;
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q15_t *pIn1;
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const q15_t *pCoef = S->pTwiddle;
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uint32_t blkCnt;
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q15x8_t vecIn0, vecIn1, vecSum, vecDiff;
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q15x8_t vecCmplxTmp, vecTw;
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q15_t const *pCoefVec;
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n2 = fftLen >> 1;
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pIn0 = pSrc;
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pIn1 = pSrc + fftLen;
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pCoefVec = pCoef;
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blkCnt = n2 / 4;
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while (blkCnt > 0U)
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{
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vecIn0 = *(q15x8_t *) pIn0;
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vecIn1 = *(q15x8_t *) pIn1;
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vecIn0 = vecIn0 >> 1;
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vecIn1 = vecIn1 >> 1;
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vecSum = vhaddq(vecIn0, vecIn1);
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vst1q(pIn0, vecSum);
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pIn0 += 8;
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vecTw = vld1q(pCoefVec);
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pCoefVec += 8;
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vecDiff = vhsubq(vecIn0, vecIn1);
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vecCmplxTmp = MVE_CMPLX_MULT_FX_AxConjB(vecDiff, vecTw, q15x8_t);
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vst1q(pIn1, vecCmplxTmp);
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pIn1 += 8;
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blkCnt--;
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}
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_arm_radix4_butterfly_q15_mve(S, pSrc, n2);
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_arm_radix4_butterfly_q15_mve(S, pSrc + fftLen, n2);
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pIn0 = pSrc;
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blkCnt = (fftLen << 1) >> 3;
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while (blkCnt > 0U)
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{
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vecIn0 = *(q15x8_t *) pIn0;
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vecIn0 = vecIn0 << 1;
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vst1q(pIn0, vecIn0);
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pIn0 += 8;
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blkCnt--;
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}
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/*
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* tail
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* (will be merged thru tail predication)
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*/
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blkCnt = (fftLen << 1) & 7;
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if (blkCnt > 0U)
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{
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mve_pred16_t p0 = vctp16q(blkCnt);
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vecIn0 = *(q15x8_t *) pIn0;
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vecIn0 = vecIn0 << 1;
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vstrhq_p(pIn0, vecIn0, p0);
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}
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}
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static void _arm_radix4_butterfly_inverse_q15_mve(const arm_cfft_instance_q15 *S,q15_t *pSrc, uint32_t fftLen)
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{
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q15x8_t vecTmp0, vecTmp1;
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q15x8_t vecSum0, vecDiff0, vecSum1, vecDiff1;
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q15x8_t vecA, vecB, vecC, vecD;
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uint32_t blkCnt;
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uint32_t n1, n2;
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uint32_t stage = 0;
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int32_t iter = 1;
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static const int32_t strides[4] = {
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(0 - 16) * (int32_t)sizeof(q15_t *), (4 - 16) * (int32_t)sizeof(q15_t *),
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(8 - 16) * (int32_t)sizeof(q15_t *), (12 - 16) * (int32_t)sizeof(q15_t *)
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};
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/*
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* Process first stages
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* Each stage in middle stages provides two down scaling of the input
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*/
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n2 = fftLen;
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n1 = n2;
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n2 >>= 2u;
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for (int k = fftLen / 4u; k > 1; k >>= 2u)
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{
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q15_t const *p_rearranged_twiddle_tab_stride2 =
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&S->rearranged_twiddle_stride2[
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S->rearranged_twiddle_tab_stride2_arr[stage]];
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q15_t const *p_rearranged_twiddle_tab_stride3 = &S->rearranged_twiddle_stride3[
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S->rearranged_twiddle_tab_stride3_arr[stage]];
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q15_t const *p_rearranged_twiddle_tab_stride1 =
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&S->rearranged_twiddle_stride1[
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S->rearranged_twiddle_tab_stride1_arr[stage]];
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q15_t * pBase = pSrc;
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for (int i = 0; i < iter; i++)
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{
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q15_t *inA = pBase;
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q15_t *inB = inA + n2 * CMPLX_DIM;
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q15_t *inC = inB + n2 * CMPLX_DIM;
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q15_t *inD = inC + n2 * CMPLX_DIM;
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q15_t const *pW1 = p_rearranged_twiddle_tab_stride1;
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q15_t const *pW2 = p_rearranged_twiddle_tab_stride2;
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q15_t const *pW3 = p_rearranged_twiddle_tab_stride3;
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q15x8_t vecW;
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blkCnt = n2 / 4;
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/*
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* load 4 x q15 complex pair
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*/
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vecA = vldrhq_s16(inA);
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vecC = vldrhq_s16(inC);
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while (blkCnt > 0U)
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{
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vecB = vldrhq_s16(inB);
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vecD = vldrhq_s16(inD);
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vecSum0 = vhaddq(vecA, vecC);
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vecDiff0 = vhsubq(vecA, vecC);
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vecSum1 = vhaddq(vecB, vecD);
|
||
|
|
vecDiff1 = vhsubq(vecB, vecD);
|
||
|
|
/*
|
||
|
|
* [ 1 1 1 1 ] * [ A B C D ]' .* 1
|
||
|
|
*/
|
||
|
|
vecTmp0 = vhaddq(vecSum0, vecSum1);
|
||
|
|
vst1q(inA, vecTmp0);
|
||
|
|
inA += 8;
|
||
|
|
/*
|
||
|
|
* [ 1 -1 1 -1 ] * [ A B C D ]'
|
||
|
|
*/
|
||
|
|
vecTmp0 = vhsubq(vecSum0, vecSum1);
|
||
|
|
/*
|
||
|
|
* [ 1 -1 1 -1 ] * [ A B C D ]'.* W2
|
||
|
|
*/
|
||
|
|
vecW = vld1q(pW2);
|
||
|
|
pW2 += 8;
|
||
|
|
vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW, q15x8_t);
|
||
|
|
|
||
|
|
vst1q(inB, vecTmp1);
|
||
|
|
inB += 8;
|
||
|
|
/*
|
||
|
|
* [ 1 -i -1 +i ] * [ A B C D ]'
|
||
|
|
*/
|
||
|
|
vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
|
||
|
|
/*
|
||
|
|
* [ 1 -i -1 +i ] * [ A B C D ]'.* W1
|
||
|
|
*/
|
||
|
|
vecW = vld1q(pW1);
|
||
|
|
pW1 += 8;
|
||
|
|
vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW, q15x8_t);
|
||
|
|
vst1q(inC, vecTmp1);
|
||
|
|
inC += 8;
|
||
|
|
/*
|
||
|
|
* [ 1 +i -1 -i ] * [ A B C D ]'
|
||
|
|
*/
|
||
|
|
vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
|
||
|
|
/*
|
||
|
|
* [ 1 +i -1 -i ] * [ A B C D ]'.* W3
|
||
|
|
*/
|
||
|
|
vecW = vld1q(pW3);
|
||
|
|
pW3 += 8;
|
||
|
|
vecTmp1 = MVE_CMPLX_MULT_FX_AxConjB(vecTmp0, vecW, q15x8_t);
|
||
|
|
vst1q(inD, vecTmp1);
|
||
|
|
inD += 8;
|
||
|
|
|
||
|
|
vecA = vldrhq_s16(inA);
|
||
|
|
vecC = vldrhq_s16(inC);
|
||
|
|
|
||
|
|
blkCnt--;
|
||
|
|
}
|
||
|
|
pBase += CMPLX_DIM * n1;
|
||
|
|
}
|
||
|
|
n1 = n2;
|
||
|
|
n2 >>= 2u;
|
||
|
|
iter = iter << 2;
|
||
|
|
stage++;
|
||
|
|
}
|
||
|
|
|
||
|
|
/*
|
||
|
|
* start of Last stage process
|
||
|
|
*/
|
||
|
|
uint32x4_t vecScGathAddr = vld1q_u32((uint32_t*)strides);
|
||
|
|
vecScGathAddr = vecScGathAddr + (uint32_t) pSrc;
|
||
|
|
|
||
|
|
/*
|
||
|
|
* load scheduling
|
||
|
|
*/
|
||
|
|
vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
|
||
|
|
vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8);
|
||
|
|
|
||
|
|
blkCnt = (fftLen >> 4);
|
||
|
|
while (blkCnt > 0U)
|
||
|
|
{
|
||
|
|
vecSum0 = vhaddq(vecA, vecC);
|
||
|
|
vecDiff0 = vhsubq(vecA, vecC);
|
||
|
|
|
||
|
|
vecB = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 4);
|
||
|
|
vecD = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 12);
|
||
|
|
|
||
|
|
vecSum1 = vhaddq(vecB, vecD);
|
||
|
|
vecDiff1 = vhsubq(vecB, vecD);
|
||
|
|
/*
|
||
|
|
* pre-load for next iteration
|
||
|
|
*/
|
||
|
|
vecA = (q15x8_t) vldrwq_gather_base_wb_s32(&vecScGathAddr, 64);
|
||
|
|
vecC = (q15x8_t) vldrwq_gather_base_s32(vecScGathAddr, 8);
|
||
|
|
|
||
|
|
vecTmp0 = vhaddq(vecSum0, vecSum1);
|
||
|
|
vstrwq_scatter_base_s32(vecScGathAddr, -64, (int32x4_t) vecTmp0);
|
||
|
|
|
||
|
|
vecTmp0 = vhsubq(vecSum0, vecSum1);
|
||
|
|
vstrwq_scatter_base_s32(vecScGathAddr, -64 + 4, (int32x4_t) vecTmp0);
|
||
|
|
|
||
|
|
vecTmp0 = MVE_CMPLX_ADD_FX_A_ixB(vecDiff0, vecDiff1);
|
||
|
|
vstrwq_scatter_base_s32(vecScGathAddr, -64 + 8, (int32x4_t) vecTmp0);
|
||
|
|
|
||
|
|
vecTmp0 = MVE_CMPLX_SUB_FX_A_ixB(vecDiff0, vecDiff1);
|
||
|
|
vstrwq_scatter_base_s32(vecScGathAddr, -64 + 12, (int32x4_t) vecTmp0);
|
||
|
|
|
||
|
|
blkCnt--;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static void arm_cfft_radix4by2_inverse_q15_mve(const arm_cfft_instance_q15 *S, q15_t *pSrc, uint32_t fftLen)
|
||
|
|
{
|
||
|
|
uint32_t n2;
|
||
|
|
q15_t *pIn0;
|
||
|
|
q15_t *pIn1;
|
||
|
|
const q15_t *pCoef = S->pTwiddle;
|
||
|
|
|
||
|
|
uint32_t blkCnt;
|
||
|
|
q15x8_t vecIn0, vecIn1, vecSum, vecDiff;
|
||
|
|
q15x8_t vecCmplxTmp, vecTw;
|
||
|
|
q15_t const *pCoefVec;
|
||
|
|
|
||
|
|
n2 = fftLen >> 1;
|
||
|
|
|
||
|
|
pIn0 = pSrc;
|
||
|
|
pIn1 = pSrc + fftLen;
|
||
|
|
pCoefVec = pCoef;
|
||
|
|
|
||
|
|
blkCnt = n2 / 4;
|
||
|
|
|
||
|
|
while (blkCnt > 0U)
|
||
|
|
{
|
||
|
|
vecIn0 = *(q15x8_t *) pIn0;
|
||
|
|
vecIn1 = *(q15x8_t *) pIn1;
|
||
|
|
|
||
|
|
vecIn0 = vecIn0 >> 1;
|
||
|
|
vecIn1 = vecIn1 >> 1;
|
||
|
|
vecSum = vhaddq(vecIn0, vecIn1);
|
||
|
|
vst1q(pIn0, vecSum);
|
||
|
|
pIn0 += 8;
|
||
|
|
|
||
|
|
vecTw = vld1q(pCoefVec);
|
||
|
|
pCoefVec += 8;
|
||
|
|
|
||
|
|
vecDiff = vhsubq(vecIn0, vecIn1);
|
||
|
|
vecCmplxTmp = vqrdmlsdhq(vuninitializedq_s16() , vecDiff, vecTw);
|
||
|
|
vecCmplxTmp = vqrdmladhxq(vecCmplxTmp, vecDiff, vecTw);
|
||
|
|
vst1q(pIn1, vecCmplxTmp);
|
||
|
|
pIn1 += 8;
|
||
|
|
|
||
|
|
blkCnt--;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
_arm_radix4_butterfly_inverse_q15_mve(S, pSrc, n2);
|
||
|
|
|
||
|
|
_arm_radix4_butterfly_inverse_q15_mve(S, pSrc + fftLen, n2);
|
||
|
|
|
||
|
|
pIn0 = pSrc;
|
||
|
|
blkCnt = (fftLen << 1) >> 3;
|
||
|
|
while (blkCnt > 0U)
|
||
|
|
{
|
||
|
|
vecIn0 = *(q15x8_t *) pIn0;
|
||
|
|
vecIn0 = vecIn0 << 1;
|
||
|
|
vst1q(pIn0, vecIn0);
|
||
|
|
pIn0 += 8;
|
||
|
|
blkCnt--;
|
||
|
|
}
|
||
|
|
/*
|
||
|
|
* tail
|
||
|
|
* (will be merged thru tail predication)
|
||
|
|
*/
|
||
|
|
blkCnt = (fftLen << 1) & 7;
|
||
|
|
while (blkCnt > 0U)
|
||
|
|
{
|
||
|
|
mve_pred16_t p0 = vctp16q(blkCnt);
|
||
|
|
|
||
|
|
vecIn0 = *(q15x8_t *) pIn0;
|
||
|
|
vecIn0 = vecIn0 << 1;
|
||
|
|
vstrhq_p(pIn0, vecIn0, p0);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
@ingroup groupTransforms
|
||
|
|
*/
|
||
|
|
|
||
|
|
/**
|
||
|
|
@addtogroup ComplexFFT
|
||
|
|
@{
|
||
|
|
*/
|
||
|
|
|
||
|
|
/**
|
||
|
|
@brief Processing function for Q15 complex FFT.
|
||
|
|
@param[in] S points to an instance of Q15 CFFT structure
|
||
|
|
@param[in,out] p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
|
||
|
|
@param[in] ifftFlag flag that selects transform direction
|
||
|
|
- value = 0: forward transform
|
||
|
|
- value = 1: inverse transform
|
||
|
|
@param[in] bitReverseFlag flag that enables / disables bit reversal of output
|
||
|
|
- value = 0: disables bit reversal of output
|
||
|
|
- value = 1: enables bit reversal of output
|
||
|
|
@return none
|
||
|
|
*/
|
||
|
|
void arm_cfft_q15(
|
||
|
|
const arm_cfft_instance_q15 * S,
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint8_t ifftFlag,
|
||
|
|
uint8_t bitReverseFlag)
|
||
|
|
{
|
||
|
|
uint32_t fftLen = S->fftLen;
|
||
|
|
|
||
|
|
if (ifftFlag == 1U) {
|
||
|
|
|
||
|
|
switch (fftLen) {
|
||
|
|
case 16:
|
||
|
|
case 64:
|
||
|
|
case 256:
|
||
|
|
case 1024:
|
||
|
|
case 4096:
|
||
|
|
_arm_radix4_butterfly_inverse_q15_mve(S, pSrc, fftLen);
|
||
|
|
break;
|
||
|
|
|
||
|
|
case 32:
|
||
|
|
case 128:
|
||
|
|
case 512:
|
||
|
|
case 2048:
|
||
|
|
arm_cfft_radix4by2_inverse_q15_mve(S, pSrc, fftLen);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
switch (fftLen) {
|
||
|
|
case 16:
|
||
|
|
case 64:
|
||
|
|
case 256:
|
||
|
|
case 1024:
|
||
|
|
case 4096:
|
||
|
|
_arm_radix4_butterfly_q15_mve(S, pSrc, fftLen);
|
||
|
|
break;
|
||
|
|
|
||
|
|
case 32:
|
||
|
|
case 128:
|
||
|
|
case 512:
|
||
|
|
case 2048:
|
||
|
|
arm_cfft_radix4by2_q15_mve(S, pSrc, fftLen);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
if (bitReverseFlag)
|
||
|
|
{
|
||
|
|
|
||
|
|
arm_bitreversal_16_inpl_mve((uint16_t*)pSrc, S->bitRevLength, S->pBitRevTable);
|
||
|
|
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
extern void arm_radix4_butterfly_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef,
|
||
|
|
uint32_t twidCoefModifier);
|
||
|
|
|
||
|
|
extern void arm_radix4_butterfly_inverse_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef,
|
||
|
|
uint32_t twidCoefModifier);
|
||
|
|
|
||
|
|
extern void arm_bitreversal_16(
|
||
|
|
uint16_t * pSrc,
|
||
|
|
const uint16_t bitRevLen,
|
||
|
|
const uint16_t * pBitRevTable);
|
||
|
|
|
||
|
|
void arm_cfft_radix4by2_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef);
|
||
|
|
|
||
|
|
void arm_cfft_radix4by2_inverse_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef);
|
||
|
|
|
||
|
|
/**
|
||
|
|
@ingroup groupTransforms
|
||
|
|
*/
|
||
|
|
|
||
|
|
/**
|
||
|
|
@addtogroup ComplexFFT
|
||
|
|
@{
|
||
|
|
*/
|
||
|
|
|
||
|
|
/**
|
||
|
|
@brief Processing function for Q15 complex FFT.
|
||
|
|
@param[in] S points to an instance of Q15 CFFT structure
|
||
|
|
@param[in,out] p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
|
||
|
|
@param[in] ifftFlag flag that selects transform direction
|
||
|
|
- value = 0: forward transform
|
||
|
|
- value = 1: inverse transform
|
||
|
|
@param[in] bitReverseFlag flag that enables / disables bit reversal of output
|
||
|
|
- value = 0: disables bit reversal of output
|
||
|
|
- value = 1: enables bit reversal of output
|
||
|
|
@return none
|
||
|
|
*/
|
||
|
|
|
||
|
|
void arm_cfft_q15(
|
||
|
|
const arm_cfft_instance_q15 * S,
|
||
|
|
q15_t * p1,
|
||
|
|
uint8_t ifftFlag,
|
||
|
|
uint8_t bitReverseFlag)
|
||
|
|
{
|
||
|
|
uint32_t L = S->fftLen;
|
||
|
|
|
||
|
|
if (ifftFlag == 1U)
|
||
|
|
{
|
||
|
|
switch (L)
|
||
|
|
{
|
||
|
|
case 16:
|
||
|
|
case 64:
|
||
|
|
case 256:
|
||
|
|
case 1024:
|
||
|
|
case 4096:
|
||
|
|
arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
|
||
|
|
break;
|
||
|
|
|
||
|
|
case 32:
|
||
|
|
case 128:
|
||
|
|
case 512:
|
||
|
|
case 2048:
|
||
|
|
arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle );
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
switch (L)
|
||
|
|
{
|
||
|
|
case 16:
|
||
|
|
case 64:
|
||
|
|
case 256:
|
||
|
|
case 1024:
|
||
|
|
case 4096:
|
||
|
|
arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
|
||
|
|
break;
|
||
|
|
|
||
|
|
case 32:
|
||
|
|
case 128:
|
||
|
|
case 512:
|
||
|
|
case 2048:
|
||
|
|
arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle );
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
if ( bitReverseFlag )
|
||
|
|
arm_bitreversal_16 ((uint16_t*) p1, S->bitRevLength, S->pBitRevTable);
|
||
|
|
}
|
||
|
|
|
||
|
|
/**
|
||
|
|
@} end of ComplexFFT group
|
||
|
|
*/
|
||
|
|
|
||
|
|
void arm_cfft_radix4by2_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef)
|
||
|
|
{
|
||
|
|
uint32_t i;
|
||
|
|
uint32_t n2;
|
||
|
|
q15_t p0, p1, p2, p3;
|
||
|
|
#if defined (ARM_MATH_DSP)
|
||
|
|
q31_t T, S, R;
|
||
|
|
q31_t coeff, out1, out2;
|
||
|
|
const q15_t *pC = pCoef;
|
||
|
|
q15_t *pSi = pSrc;
|
||
|
|
q15_t *pSl = pSrc + fftLen;
|
||
|
|
#else
|
||
|
|
uint32_t l;
|
||
|
|
q15_t xt, yt, cosVal, sinVal;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
n2 = fftLen >> 1U;
|
||
|
|
|
||
|
|
#if defined (ARM_MATH_DSP)
|
||
|
|
|
||
|
|
for (i = n2; i > 0; i--)
|
||
|
|
{
|
||
|
|
coeff = read_q15x2_ia (&pC);
|
||
|
|
|
||
|
|
T = read_q15x2 (pSi);
|
||
|
|
T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
|
||
|
|
|
||
|
|
S = read_q15x2 (pSl);
|
||
|
|
S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
|
||
|
|
|
||
|
|
R = __QSUB16(T, S);
|
||
|
|
|
||
|
|
write_q15x2_ia (&pSi, __SHADD16(T, S));
|
||
|
|
|
||
|
|
#ifndef ARM_MATH_BIG_ENDIAN
|
||
|
|
out1 = __SMUAD(coeff, R) >> 16U;
|
||
|
|
out2 = __SMUSDX(coeff, R);
|
||
|
|
#else
|
||
|
|
out1 = __SMUSDX(R, coeff) >> 16U;
|
||
|
|
out2 = __SMUAD(coeff, R);
|
||
|
|
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
|
||
|
|
|
||
|
|
write_q15x2_ia (&pSl, (q31_t)__PKHBT( out1, out2, 0 ) );
|
||
|
|
}
|
||
|
|
|
||
|
|
#else /* #if defined (ARM_MATH_DSP) */
|
||
|
|
|
||
|
|
for (i = 0; i < n2; i++)
|
||
|
|
{
|
||
|
|
cosVal = pCoef[2 * i];
|
||
|
|
sinVal = pCoef[2 * i + 1];
|
||
|
|
|
||
|
|
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;
|
||
|
|
|
||
|
|
pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) +
|
||
|
|
((int16_t) (((q31_t) yt * sinVal) >> 16U)) );
|
||
|
|
|
||
|
|
pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) -
|
||
|
|
((int16_t) (((q31_t) xt * sinVal) >> 16U)) );
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif /* #if defined (ARM_MATH_DSP) */
|
||
|
|
|
||
|
|
/* first col */
|
||
|
|
arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2U);
|
||
|
|
|
||
|
|
/* second col */
|
||
|
|
arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
|
||
|
|
|
||
|
|
n2 = fftLen >> 1U;
|
||
|
|
for (i = 0; i < n2; i++)
|
||
|
|
{
|
||
|
|
p0 = pSrc[4 * i + 0];
|
||
|
|
p1 = pSrc[4 * i + 1];
|
||
|
|
p2 = pSrc[4 * i + 2];
|
||
|
|
p3 = pSrc[4 * i + 3];
|
||
|
|
|
||
|
|
p0 <<= 1U;
|
||
|
|
p1 <<= 1U;
|
||
|
|
p2 <<= 1U;
|
||
|
|
p3 <<= 1U;
|
||
|
|
|
||
|
|
pSrc[4 * i + 0] = p0;
|
||
|
|
pSrc[4 * i + 1] = p1;
|
||
|
|
pSrc[4 * i + 2] = p2;
|
||
|
|
pSrc[4 * i + 3] = p3;
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
void arm_cfft_radix4by2_inverse_q15(
|
||
|
|
q15_t * pSrc,
|
||
|
|
uint32_t fftLen,
|
||
|
|
const q15_t * pCoef)
|
||
|
|
{
|
||
|
|
uint32_t i;
|
||
|
|
uint32_t n2;
|
||
|
|
q15_t p0, p1, p2, p3;
|
||
|
|
#if defined (ARM_MATH_DSP)
|
||
|
|
q31_t T, S, R;
|
||
|
|
q31_t coeff, out1, out2;
|
||
|
|
const q15_t *pC = pCoef;
|
||
|
|
q15_t *pSi = pSrc;
|
||
|
|
q15_t *pSl = pSrc + fftLen;
|
||
|
|
#else
|
||
|
|
uint32_t l;
|
||
|
|
q15_t xt, yt, cosVal, sinVal;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
n2 = fftLen >> 1U;
|
||
|
|
|
||
|
|
#if defined (ARM_MATH_DSP)
|
||
|
|
|
||
|
|
for (i = n2; i > 0; i--)
|
||
|
|
{
|
||
|
|
coeff = read_q15x2_ia (&pC);
|
||
|
|
|
||
|
|
T = read_q15x2 (pSi);
|
||
|
|
T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
|
||
|
|
|
||
|
|
S = read_q15x2 (pSl);
|
||
|
|
S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
|
||
|
|
|
||
|
|
R = __QSUB16(T, S);
|
||
|
|
|
||
|
|
write_q15x2_ia (&pSi, __SHADD16(T, S));
|
||
|
|
|
||
|
|
#ifndef ARM_MATH_BIG_ENDIAN
|
||
|
|
out1 = __SMUSD(coeff, R) >> 16U;
|
||
|
|
out2 = __SMUADX(coeff, R);
|
||
|
|
#else
|
||
|
|
out1 = __SMUADX(R, coeff) >> 16U;
|
||
|
|
out2 = __SMUSD(__QSUB(0, coeff), R);
|
||
|
|
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
|
||
|
|
|
||
|
|
write_q15x2_ia (&pSl, (q31_t)__PKHBT( out1, out2, 0 ));
|
||
|
|
}
|
||
|
|
|
||
|
|
#else /* #if defined (ARM_MATH_DSP) */
|
||
|
|
|
||
|
|
for (i = 0; i < n2; i++)
|
||
|
|
{
|
||
|
|
cosVal = pCoef[2 * i];
|
||
|
|
sinVal = pCoef[2 * i + 1];
|
||
|
|
|
||
|
|
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;
|
||
|
|
|
||
|
|
pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) -
|
||
|
|
((int16_t) (((q31_t) yt * sinVal) >> 16U)) );
|
||
|
|
|
||
|
|
pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) +
|
||
|
|
((int16_t) (((q31_t) xt * sinVal) >> 16U)) );
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif /* #if defined (ARM_MATH_DSP) */
|
||
|
|
|
||
|
|
/* first col */
|
||
|
|
arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2U);
|
||
|
|
|
||
|
|
/* second col */
|
||
|
|
arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
|
||
|
|
|
||
|
|
n2 = fftLen >> 1U;
|
||
|
|
for (i = 0; i < n2; i++)
|
||
|
|
{
|
||
|
|
p0 = pSrc[4 * i + 0];
|
||
|
|
p1 = pSrc[4 * i + 1];
|
||
|
|
p2 = pSrc[4 * i + 2];
|
||
|
|
p3 = pSrc[4 * i + 3];
|
||
|
|
|
||
|
|
p0 <<= 1U;
|
||
|
|
p1 <<= 1U;
|
||
|
|
p2 <<= 1U;
|
||
|
|
p3 <<= 1U;
|
||
|
|
|
||
|
|
pSrc[4 * i + 0] = p0;
|
||
|
|
pSrc[4 * i + 1] = p1;
|
||
|
|
pSrc[4 * i + 2] = p2;
|
||
|
|
pSrc[4 * i + 3] = p3;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif /* defined(ARM_MATH_MVEI) */
|