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

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