677 lines
16 KiB
C
677 lines
16 KiB
C
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/*
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* (c) 2002 Fabrice Bellard
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*
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* This file is part of FFmpeg.
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*
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* FFmpeg is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* FFmpeg is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with FFmpeg; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*/
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/**
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* @file
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* FFT and MDCT tests.
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*/
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#include "config.h"
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#ifndef AVFFT
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#define AVFFT 0
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#endif
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#include <math.h>
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#if HAVE_UNISTD_H
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#include <unistd.h>
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#endif
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include "libavutil/cpu.h"
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#include "libavutil/lfg.h"
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#include "libavutil/log.h"
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#include "libavutil/mathematics.h"
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#include "libavutil/time.h"
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#if AVFFT
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#include "libavcodec/avfft.h"
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#else
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#include "libavcodec/fft.h"
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#endif
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#if FFT_FLOAT
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#include "libavcodec/dct.h"
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#include "libavcodec/rdft.h"
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#endif
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/* reference fft */
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#define MUL16(a, b) ((a) * (b))
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#define CMAC(pre, pim, are, aim, bre, bim) \
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{ \
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pre += (MUL16(are, bre) - MUL16(aim, bim)); \
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pim += (MUL16(are, bim) + MUL16(bre, aim)); \
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}
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#if FFT_FLOAT || AVFFT
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#define RANGE 1.0
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#define REF_SCALE(x, bits) (x)
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#define FMT "%10.6f"
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#elif FFT_FIXED_32
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#define RANGE 8388608
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#define REF_SCALE(x, bits) (x)
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#define FMT "%6d"
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#else
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#define RANGE 16384
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#define REF_SCALE(x, bits) ((x) / (1 << (bits)))
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#define FMT "%6d"
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#endif
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static struct {
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float re, im;
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} *exptab;
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static int fft_ref_init(int nbits, int inverse)
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{
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int i, n = 1 << nbits;
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exptab = av_malloc_array((n / 2), sizeof(*exptab));
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if (!exptab)
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return AVERROR(ENOMEM);
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for (i = 0; i < (n / 2); i++) {
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double alpha = 2 * M_PI * (float) i / (float) n;
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double c1 = cos(alpha), s1 = sin(alpha);
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if (!inverse)
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s1 = -s1;
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exptab[i].re = c1;
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exptab[i].im = s1;
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}
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return 0;
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}
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static void fft_ref(FFTComplex *tabr, FFTComplex *tab, int nbits)
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{
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int i, j;
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int n = 1 << nbits;
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int n2 = n >> 1;
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for (i = 0; i < n; i++) {
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double tmp_re = 0, tmp_im = 0;
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FFTComplex *q = tab;
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for (j = 0; j < n; j++) {
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double s, c;
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int k = (i * j) & (n - 1);
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if (k >= n2) {
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c = -exptab[k - n2].re;
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s = -exptab[k - n2].im;
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} else {
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c = exptab[k].re;
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s = exptab[k].im;
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}
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CMAC(tmp_re, tmp_im, c, s, q->re, q->im);
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q++;
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}
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tabr[i].re = REF_SCALE(tmp_re, nbits);
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tabr[i].im = REF_SCALE(tmp_im, nbits);
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}
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}
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#if CONFIG_MDCT
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static void imdct_ref(FFTSample *out, FFTSample *in, int nbits)
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{
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int i, k, n = 1 << nbits;
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for (i = 0; i < n; i++) {
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double sum = 0;
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for (k = 0; k < n / 2; k++) {
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int a = (2 * i + 1 + (n / 2)) * (2 * k + 1);
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double f = cos(M_PI * a / (double) (2 * n));
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sum += f * in[k];
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}
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out[i] = REF_SCALE(-sum, nbits - 2);
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}
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}
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/* NOTE: no normalisation by 1 / N is done */
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static void mdct_ref(FFTSample *output, FFTSample *input, int nbits)
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{
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int i, k, n = 1 << nbits;
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/* do it by hand */
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for (k = 0; k < n / 2; k++) {
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double s = 0;
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for (i = 0; i < n; i++) {
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double a = (2 * M_PI * (2 * i + 1 + n / 2) * (2 * k + 1) / (4 * n));
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s += input[i] * cos(a);
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}
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output[k] = REF_SCALE(s, nbits - 1);
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}
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}
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#endif /* CONFIG_MDCT */
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#if FFT_FLOAT
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#if CONFIG_DCT
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static void idct_ref(FFTSample *output, FFTSample *input, int nbits)
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{
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int i, k, n = 1 << nbits;
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/* do it by hand */
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for (i = 0; i < n; i++) {
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double s = 0.5 * input[0];
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for (k = 1; k < n; k++) {
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double a = M_PI * k * (i + 0.5) / n;
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s += input[k] * cos(a);
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}
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output[i] = 2 * s / n;
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}
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}
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static void dct_ref(FFTSample *output, FFTSample *input, int nbits)
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{
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int i, k, n = 1 << nbits;
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/* do it by hand */
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for (k = 0; k < n; k++) {
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double s = 0;
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for (i = 0; i < n; i++) {
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double a = M_PI * k * (i + 0.5) / n;
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s += input[i] * cos(a);
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}
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output[k] = s;
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}
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}
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#endif /* CONFIG_DCT */
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#endif /* FFT_FLOAT */
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static FFTSample frandom(AVLFG *prng)
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{
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return (int16_t) av_lfg_get(prng) / 32768.0 * RANGE;
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}
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static int check_diff(FFTSample *tab1, FFTSample *tab2, int n, double scale)
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{
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int i, err = 0;
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double error = 0, max = 0;
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for (i = 0; i < n; i++) {
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double e = fabs(tab1[i] - (tab2[i] / scale)) / RANGE;
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if (e >= 1e-3) {
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av_log(NULL, AV_LOG_ERROR, "ERROR %5d: "FMT" "FMT"\n",
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i, tab1[i], tab2[i]);
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err = 1;
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}
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error += e * e;
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if (e > max)
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max = e;
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}
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av_log(NULL, AV_LOG_INFO, "max:%f e:%g\n", max, sqrt(error / n));
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return err;
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}
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static inline void fft_init(FFTContext **s, int nbits, int inverse)
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{
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#if AVFFT
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*s = av_fft_init(nbits, inverse);
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#else
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ff_fft_init(*s, nbits, inverse);
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#endif
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}
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static inline void mdct_init(FFTContext **s, int nbits, int inverse, double scale)
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{
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#if AVFFT
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*s = av_mdct_init(nbits, inverse, scale);
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#else
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ff_mdct_init(*s, nbits, inverse, scale);
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#endif
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}
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static inline void mdct_calc(FFTContext *s, FFTSample *output, const FFTSample *input)
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{
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#if AVFFT
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av_mdct_calc(s, output, input);
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#else
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s->mdct_calc(s, output, input);
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#endif
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}
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static inline void imdct_calc(struct FFTContext *s, FFTSample *output, const FFTSample *input)
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{
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#if AVFFT
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av_imdct_calc(s, output, input);
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#else
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s->imdct_calc(s, output, input);
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#endif
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}
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static inline void fft_permute(FFTContext *s, FFTComplex *z)
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{
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#if AVFFT
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av_fft_permute(s, z);
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#else
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s->fft_permute(s, z);
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#endif
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}
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static inline void fft_calc(FFTContext *s, FFTComplex *z)
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{
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#if AVFFT
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av_fft_calc(s, z);
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#else
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s->fft_calc(s, z);
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#endif
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}
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static inline void mdct_end(FFTContext *s)
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{
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#if AVFFT
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av_mdct_end(s);
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#else
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ff_mdct_end(s);
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#endif
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}
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static inline void fft_end(FFTContext *s)
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{
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#if AVFFT
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av_fft_end(s);
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#else
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ff_fft_end(s);
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#endif
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}
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#if FFT_FLOAT
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static inline void rdft_init(RDFTContext **r, int nbits, enum RDFTransformType trans)
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{
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#if AVFFT
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*r = av_rdft_init(nbits, trans);
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#else
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ff_rdft_init(*r, nbits, trans);
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#endif
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}
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static inline void dct_init(DCTContext **d, int nbits, enum DCTTransformType trans)
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{
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#if AVFFT
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*d = av_dct_init(nbits, trans);
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#else
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ff_dct_init(*d, nbits, trans);
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#endif
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}
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static inline void rdft_calc(RDFTContext *r, FFTSample *tab)
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{
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#if AVFFT
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av_rdft_calc(r, tab);
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#else
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r->rdft_calc(r, tab);
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#endif
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}
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static inline void dct_calc(DCTContext *d, FFTSample *data)
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{
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#if AVFFT
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av_dct_calc(d, data);
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#else
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d->dct_calc(d, data);
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#endif
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}
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static inline void rdft_end(RDFTContext *r)
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{
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#if AVFFT
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av_rdft_end(r);
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#else
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ff_rdft_end(r);
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#endif
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}
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static inline void dct_end(DCTContext *d)
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{
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#if AVFFT
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av_dct_end(d);
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#else
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ff_dct_end(d);
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#endif
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}
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#endif /* FFT_FLOAT */
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static void help(void)
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{
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av_log(NULL, AV_LOG_INFO,
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"usage: fft-test [-h] [-s] [-i] [-n b]\n"
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"-h print this help\n"
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"-s speed test\n"
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"-m (I)MDCT test\n"
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"-d (I)DCT test\n"
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"-r (I)RDFT test\n"
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"-i inverse transform test\n"
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"-n b set the transform size to 2^b\n"
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"-f x set scale factor for output data of (I)MDCT to x\n");
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}
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enum tf_transform {
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TRANSFORM_FFT,
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TRANSFORM_MDCT,
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TRANSFORM_RDFT,
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TRANSFORM_DCT,
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};
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#if !HAVE_GETOPT
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#include "compat/getopt.c"
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#endif
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int main(int argc, char **argv)
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{
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FFTComplex *tab, *tab1, *tab_ref;
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FFTSample *tab2;
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enum tf_transform transform = TRANSFORM_FFT;
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FFTContext *m, *s;
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#if FFT_FLOAT
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RDFTContext *r;
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DCTContext *d;
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#endif /* FFT_FLOAT */
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|
|
int it, i, err = 1;
|
||
|
|
int do_speed = 0, do_inverse = 0;
|
||
|
|
int fft_nbits = 9, fft_size;
|
||
|
|
double scale = 1.0;
|
||
|
|
AVLFG prng;
|
||
|
|
|
||
|
|
#if !AVFFT
|
||
|
|
s = av_mallocz(sizeof(*s));
|
||
|
|
m = av_mallocz(sizeof(*m));
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#if !AVFFT && FFT_FLOAT
|
||
|
|
r = av_mallocz(sizeof(*r));
|
||
|
|
d = av_mallocz(sizeof(*d));
|
||
|
|
#endif
|
||
|
|
|
||
|
|
av_lfg_init(&prng, 1);
|
||
|
|
|
||
|
|
for (;;) {
|
||
|
|
int c = getopt(argc, argv, "hsimrdn:f:c:");
|
||
|
|
if (c == -1)
|
||
|
|
break;
|
||
|
|
switch (c) {
|
||
|
|
case 'h':
|
||
|
|
help();
|
||
|
|
return 1;
|
||
|
|
case 's':
|
||
|
|
do_speed = 1;
|
||
|
|
break;
|
||
|
|
case 'i':
|
||
|
|
do_inverse = 1;
|
||
|
|
break;
|
||
|
|
case 'm':
|
||
|
|
transform = TRANSFORM_MDCT;
|
||
|
|
break;
|
||
|
|
case 'r':
|
||
|
|
transform = TRANSFORM_RDFT;
|
||
|
|
break;
|
||
|
|
case 'd':
|
||
|
|
transform = TRANSFORM_DCT;
|
||
|
|
break;
|
||
|
|
case 'n':
|
||
|
|
fft_nbits = atoi(optarg);
|
||
|
|
break;
|
||
|
|
case 'f':
|
||
|
|
scale = atof(optarg);
|
||
|
|
break;
|
||
|
|
case 'c':
|
||
|
|
{
|
||
|
|
unsigned cpuflags = av_get_cpu_flags();
|
||
|
|
|
||
|
|
if (av_parse_cpu_caps(&cpuflags, optarg) < 0)
|
||
|
|
return 1;
|
||
|
|
|
||
|
|
av_force_cpu_flags(cpuflags);
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
fft_size = 1 << fft_nbits;
|
||
|
|
tab = av_malloc_array(fft_size, sizeof(FFTComplex));
|
||
|
|
tab1 = av_malloc_array(fft_size, sizeof(FFTComplex));
|
||
|
|
tab_ref = av_malloc_array(fft_size, sizeof(FFTComplex));
|
||
|
|
tab2 = av_malloc_array(fft_size, sizeof(FFTSample));
|
||
|
|
|
||
|
|
if (!(tab && tab1 && tab_ref && tab2))
|
||
|
|
goto cleanup;
|
||
|
|
|
||
|
|
switch (transform) {
|
||
|
|
#if CONFIG_MDCT
|
||
|
|
case TRANSFORM_MDCT:
|
||
|
|
av_log(NULL, AV_LOG_INFO, "Scale factor is set to %f\n", scale);
|
||
|
|
if (do_inverse)
|
||
|
|
av_log(NULL, AV_LOG_INFO, "IMDCT");
|
||
|
|
else
|
||
|
|
av_log(NULL, AV_LOG_INFO, "MDCT");
|
||
|
|
mdct_init(&m, fft_nbits, do_inverse, scale);
|
||
|
|
break;
|
||
|
|
#endif /* CONFIG_MDCT */
|
||
|
|
case TRANSFORM_FFT:
|
||
|
|
if (do_inverse)
|
||
|
|
av_log(NULL, AV_LOG_INFO, "IFFT");
|
||
|
|
else
|
||
|
|
av_log(NULL, AV_LOG_INFO, "FFT");
|
||
|
|
fft_init(&s, fft_nbits, do_inverse);
|
||
|
|
if ((err = fft_ref_init(fft_nbits, do_inverse)) < 0)
|
||
|
|
goto cleanup;
|
||
|
|
break;
|
||
|
|
#if FFT_FLOAT
|
||
|
|
# if CONFIG_RDFT
|
||
|
|
case TRANSFORM_RDFT:
|
||
|
|
if (do_inverse)
|
||
|
|
av_log(NULL, AV_LOG_INFO, "IDFT_C2R");
|
||
|
|
else
|
||
|
|
av_log(NULL, AV_LOG_INFO, "DFT_R2C");
|
||
|
|
rdft_init(&r, fft_nbits, do_inverse ? IDFT_C2R : DFT_R2C);
|
||
|
|
if ((err = fft_ref_init(fft_nbits, do_inverse)) < 0)
|
||
|
|
goto cleanup;
|
||
|
|
break;
|
||
|
|
# endif /* CONFIG_RDFT */
|
||
|
|
# if CONFIG_DCT
|
||
|
|
case TRANSFORM_DCT:
|
||
|
|
if (do_inverse)
|
||
|
|
av_log(NULL, AV_LOG_INFO, "DCT_III");
|
||
|
|
else
|
||
|
|
av_log(NULL, AV_LOG_INFO, "DCT_II");
|
||
|
|
dct_init(&d, fft_nbits, do_inverse ? DCT_III : DCT_II);
|
||
|
|
break;
|
||
|
|
# endif /* CONFIG_DCT */
|
||
|
|
#endif /* FFT_FLOAT */
|
||
|
|
default:
|
||
|
|
av_log(NULL, AV_LOG_ERROR, "Requested transform not supported\n");
|
||
|
|
goto cleanup;
|
||
|
|
}
|
||
|
|
av_log(NULL, AV_LOG_INFO, " %d test\n", fft_size);
|
||
|
|
|
||
|
|
/* generate random data */
|
||
|
|
|
||
|
|
for (i = 0; i < fft_size; i++) {
|
||
|
|
tab1[i].re = frandom(&prng);
|
||
|
|
tab1[i].im = frandom(&prng);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* checking result */
|
||
|
|
av_log(NULL, AV_LOG_INFO, "Checking...\n");
|
||
|
|
|
||
|
|
switch (transform) {
|
||
|
|
#if CONFIG_MDCT
|
||
|
|
case TRANSFORM_MDCT:
|
||
|
|
if (do_inverse) {
|
||
|
|
imdct_ref(&tab_ref->re, &tab1->re, fft_nbits);
|
||
|
|
imdct_calc(m, tab2, &tab1->re);
|
||
|
|
err = check_diff(&tab_ref->re, tab2, fft_size, scale);
|
||
|
|
} else {
|
||
|
|
mdct_ref(&tab_ref->re, &tab1->re, fft_nbits);
|
||
|
|
mdct_calc(m, tab2, &tab1->re);
|
||
|
|
err = check_diff(&tab_ref->re, tab2, fft_size / 2, scale);
|
||
|
|
}
|
||
|
|
break;
|
||
|
|
#endif /* CONFIG_MDCT */
|
||
|
|
case TRANSFORM_FFT:
|
||
|
|
memcpy(tab, tab1, fft_size * sizeof(FFTComplex));
|
||
|
|
fft_permute(s, tab);
|
||
|
|
fft_calc(s, tab);
|
||
|
|
|
||
|
|
fft_ref(tab_ref, tab1, fft_nbits);
|
||
|
|
err = check_diff(&tab_ref->re, &tab->re, fft_size * 2, 1.0);
|
||
|
|
break;
|
||
|
|
#if FFT_FLOAT
|
||
|
|
#if CONFIG_RDFT
|
||
|
|
case TRANSFORM_RDFT:
|
||
|
|
{
|
||
|
|
int fft_size_2 = fft_size >> 1;
|
||
|
|
if (do_inverse) {
|
||
|
|
tab1[0].im = 0;
|
||
|
|
tab1[fft_size_2].im = 0;
|
||
|
|
for (i = 1; i < fft_size_2; i++) {
|
||
|
|
tab1[fft_size_2 + i].re = tab1[fft_size_2 - i].re;
|
||
|
|
tab1[fft_size_2 + i].im = -tab1[fft_size_2 - i].im;
|
||
|
|
}
|
||
|
|
|
||
|
|
memcpy(tab2, tab1, fft_size * sizeof(FFTSample));
|
||
|
|
tab2[1] = tab1[fft_size_2].re;
|
||
|
|
|
||
|
|
rdft_calc(r, tab2);
|
||
|
|
fft_ref(tab_ref, tab1, fft_nbits);
|
||
|
|
for (i = 0; i < fft_size; i++) {
|
||
|
|
tab[i].re = tab2[i];
|
||
|
|
tab[i].im = 0;
|
||
|
|
}
|
||
|
|
err = check_diff(&tab_ref->re, &tab->re, fft_size * 2, 0.5);
|
||
|
|
} else {
|
||
|
|
for (i = 0; i < fft_size; i++) {
|
||
|
|
tab2[i] = tab1[i].re;
|
||
|
|
tab1[i].im = 0;
|
||
|
|
}
|
||
|
|
rdft_calc(r, tab2);
|
||
|
|
fft_ref(tab_ref, tab1, fft_nbits);
|
||
|
|
tab_ref[0].im = tab_ref[fft_size_2].re;
|
||
|
|
err = check_diff(&tab_ref->re, tab2, fft_size, 1.0);
|
||
|
|
}
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
#endif /* CONFIG_RDFT */
|
||
|
|
#if CONFIG_DCT
|
||
|
|
case TRANSFORM_DCT:
|
||
|
|
memcpy(tab, tab1, fft_size * sizeof(FFTComplex));
|
||
|
|
dct_calc(d, &tab->re);
|
||
|
|
if (do_inverse)
|
||
|
|
idct_ref(&tab_ref->re, &tab1->re, fft_nbits);
|
||
|
|
else
|
||
|
|
dct_ref(&tab_ref->re, &tab1->re, fft_nbits);
|
||
|
|
err = check_diff(&tab_ref->re, &tab->re, fft_size, 1.0);
|
||
|
|
break;
|
||
|
|
#endif /* CONFIG_DCT */
|
||
|
|
#endif /* FFT_FLOAT */
|
||
|
|
}
|
||
|
|
|
||
|
|
/* do a speed test */
|
||
|
|
|
||
|
|
if (do_speed) {
|
||
|
|
int64_t time_start, duration;
|
||
|
|
int nb_its;
|
||
|
|
|
||
|
|
av_log(NULL, AV_LOG_INFO, "Speed test...\n");
|
||
|
|
/* we measure during about 1 seconds */
|
||
|
|
nb_its = 1;
|
||
|
|
for (;;) {
|
||
|
|
time_start = av_gettime_relative();
|
||
|
|
for (it = 0; it < nb_its; it++) {
|
||
|
|
switch (transform) {
|
||
|
|
case TRANSFORM_MDCT:
|
||
|
|
if (do_inverse)
|
||
|
|
imdct_calc(m, &tab->re, &tab1->re);
|
||
|
|
else
|
||
|
|
mdct_calc(m, &tab->re, &tab1->re);
|
||
|
|
break;
|
||
|
|
case TRANSFORM_FFT:
|
||
|
|
memcpy(tab, tab1, fft_size * sizeof(FFTComplex));
|
||
|
|
fft_calc(s, tab);
|
||
|
|
break;
|
||
|
|
#if FFT_FLOAT
|
||
|
|
case TRANSFORM_RDFT:
|
||
|
|
memcpy(tab2, tab1, fft_size * sizeof(FFTSample));
|
||
|
|
rdft_calc(r, tab2);
|
||
|
|
break;
|
||
|
|
case TRANSFORM_DCT:
|
||
|
|
memcpy(tab2, tab1, fft_size * sizeof(FFTSample));
|
||
|
|
dct_calc(d, tab2);
|
||
|
|
break;
|
||
|
|
#endif /* FFT_FLOAT */
|
||
|
|
}
|
||
|
|
}
|
||
|
|
duration = av_gettime_relative() - time_start;
|
||
|
|
if (duration >= 1000000)
|
||
|
|
break;
|
||
|
|
nb_its *= 2;
|
||
|
|
}
|
||
|
|
av_log(NULL, AV_LOG_INFO,
|
||
|
|
"time: %0.1f us/transform [total time=%0.2f s its=%d]\n",
|
||
|
|
(double) duration / nb_its,
|
||
|
|
(double) duration / 1000000.0,
|
||
|
|
nb_its);
|
||
|
|
}
|
||
|
|
|
||
|
|
switch (transform) {
|
||
|
|
#if CONFIG_MDCT
|
||
|
|
case TRANSFORM_MDCT:
|
||
|
|
mdct_end(m);
|
||
|
|
break;
|
||
|
|
#endif /* CONFIG_MDCT */
|
||
|
|
case TRANSFORM_FFT:
|
||
|
|
fft_end(s);
|
||
|
|
break;
|
||
|
|
#if FFT_FLOAT
|
||
|
|
# if CONFIG_RDFT
|
||
|
|
case TRANSFORM_RDFT:
|
||
|
|
rdft_end(r);
|
||
|
|
break;
|
||
|
|
# endif /* CONFIG_RDFT */
|
||
|
|
# if CONFIG_DCT
|
||
|
|
case TRANSFORM_DCT:
|
||
|
|
dct_end(d);
|
||
|
|
break;
|
||
|
|
# endif /* CONFIG_DCT */
|
||
|
|
#endif /* FFT_FLOAT */
|
||
|
|
}
|
||
|
|
|
||
|
|
cleanup:
|
||
|
|
av_free(tab);
|
||
|
|
av_free(tab1);
|
||
|
|
av_free(tab2);
|
||
|
|
av_free(tab_ref);
|
||
|
|
av_free(exptab);
|
||
|
|
|
||
|
|
#if !AVFFT
|
||
|
|
av_free(s);
|
||
|
|
av_free(m);
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#if !AVFFT && FFT_FLOAT
|
||
|
|
av_free(r);
|
||
|
|
av_free(d);
|
||
|
|
#endif
|
||
|
|
|
||
|
|
if (err)
|
||
|
|
printf("Error: %d.\n", err);
|
||
|
|
|
||
|
|
return !!err;
|
||
|
|
}
|