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FFmpeg/libavfilter/window_func.h
Paul B Mahol 754d52cf42 avfilter/window_func: add kaiser window
2022-10-20 12:13:37 +02:00

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/*
* Copyright (c) 2015 Paul B Mahol
*
* 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
*/
#ifndef AVFILTER_WINDOW_FUNC_H
#define AVFILTER_WINDOW_FUNC_H
#include <math.h>
#include "libavutil/avassert.h"
#include "libavutil/common.h"
enum WindowFunc { WFUNC_RECT, WFUNC_HANNING, WFUNC_HAMMING, WFUNC_BLACKMAN,
WFUNC_BARTLETT, WFUNC_WELCH, WFUNC_FLATTOP,
WFUNC_BHARRIS, WFUNC_BNUTTALL, WFUNC_SINE, WFUNC_NUTTALL,
WFUNC_BHANN, WFUNC_LANCZOS, WFUNC_GAUSS, WFUNC_TUKEY,
WFUNC_DOLPH, WFUNC_CAUCHY, WFUNC_PARZEN, WFUNC_POISSON,
WFUNC_BOHMAN, WFUNC_KAISER,
NB_WFUNC };
#define WIN_FUNC_OPTION(win_func_opt_name, win_func_offset, flag, default_window_func) \
{ win_func_opt_name, "set window function", win_func_offset, AV_OPT_TYPE_INT, {.i64 = default_window_func}, 0, NB_WFUNC-1, flag, "win_func" }, \
{ "rect", "Rectangular", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_RECT}, 0, 0, flag, "win_func" }, \
{ "bartlett", "Bartlett", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BARTLETT}, 0, 0, flag, "win_func" }, \
{ "hann", "Hann", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING}, 0, 0, flag, "win_func" }, \
{ "hanning", "Hanning", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING}, 0, 0, flag, "win_func" }, \
{ "hamming", "Hamming", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HAMMING}, 0, 0, flag, "win_func" }, \
{ "blackman", "Blackman", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BLACKMAN}, 0, 0, flag, "win_func" }, \
{ "welch", "Welch", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_WELCH}, 0, 0, flag, "win_func" }, \
{ "flattop", "Flat-top", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_FLATTOP}, 0, 0, flag, "win_func" }, \
{ "bharris", "Blackman-Harris", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHARRIS}, 0, 0, flag, "win_func" }, \
{ "bnuttall", "Blackman-Nuttall", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BNUTTALL}, 0, 0, flag, "win_func" }, \
{ "bhann", "Bartlett-Hann", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHANN}, 0, 0, flag, "win_func" }, \
{ "sine", "Sine", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_SINE}, 0, 0, flag, "win_func" }, \
{ "nuttall", "Nuttall", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_NUTTALL}, 0, 0, flag, "win_func" }, \
{ "lanczos", "Lanczos", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_LANCZOS}, 0, 0, flag, "win_func" }, \
{ "gauss", "Gauss", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_GAUSS}, 0, 0, flag, "win_func" }, \
{ "tukey", "Tukey", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_TUKEY}, 0, 0, flag, "win_func" }, \
{ "dolph", "Dolph-Chebyshev", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_DOLPH}, 0, 0, flag, "win_func" }, \
{ "cauchy", "Cauchy", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_CAUCHY}, 0, 0, flag, "win_func" }, \
{ "parzen", "Parzen", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_PARZEN}, 0, 0, flag, "win_func" }, \
{ "poisson", "Poisson", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_POISSON}, 0, 0, flag, "win_func" }, \
{ "bohman", "Bohman", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BOHMAN}, 0, 0, flag, "win_func" }, \
{ "kaiser", "Kaiser", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_KAISER}, 0, 0, flag, "win_func" }
static inline double get_i0(double x)
{
double y = 1.0, prev = 1.0, i = 1.0;
while (fabs(prev) > 1e-20) {
double summand = prev * x * x / (4 * i * i);
y += summand;
prev = summand;
i++;
}
return y;
}
static inline void generate_window_func(float *lut, int N, int win_func,
float *overlap)
{
int n;
switch (win_func) {
case WFUNC_RECT:
for (n = 0; n < N; n++)
lut[n] = 1.;
*overlap = 0.;
break;
case WFUNC_BARTLETT:
for (n = 0; n < N; n++)
lut[n] = 1.-fabs((n-(N-1)/2.)/((N-1)/2.));
*overlap = 0.5;
break;
case WFUNC_HANNING:
for (n = 0; n < N; n++)
lut[n] = .5*(1-cos(2*M_PI*n/(N-1)));
*overlap = 0.5;
break;
case WFUNC_HAMMING:
for (n = 0; n < N; n++)
lut[n] = .54-.46*cos(2*M_PI*n/(N-1));
*overlap = 0.5;
break;
case WFUNC_BLACKMAN:
for (n = 0; n < N; n++)
lut[n] = .42659-.49656*cos(2*M_PI*n/(N-1))+.076849*cos(4*M_PI*n/(N-1));
*overlap = 0.661;
break;
case WFUNC_WELCH:
for (n = 0; n < N; n++)
lut[n] = 1.-(n-(N-1)/2.)/((N-1)/2.)*(n-(N-1)/2.)/((N-1)/2.);
*overlap = 0.293;
break;
case WFUNC_FLATTOP:
for (n = 0; n < N; n++)
lut[n] = 1.-1.985844164102*cos( 2*M_PI*n/(N-1))+1.791176438506*cos( 4*M_PI*n/(N-1))-
1.282075284005*cos( 6*M_PI*n/(N-1))+0.667777530266*cos( 8*M_PI*n/(N-1))-
0.240160796576*cos(10*M_PI*n/(N-1))+0.056656381764*cos(12*M_PI*n/(N-1))-
0.008134974479*cos(14*M_PI*n/(N-1))+0.000624544650*cos(16*M_PI*n/(N-1))-
0.000019808998*cos(18*M_PI*n/(N-1))+0.000000132974*cos(20*M_PI*n/(N-1));
*overlap = 0.841;
break;
case WFUNC_BHARRIS:
for (n = 0; n < N; n++)
lut[n] = 0.35875-0.48829*cos(2*M_PI*n/(N-1))+0.14128*cos(4*M_PI*n/(N-1))-0.01168*cos(6*M_PI*n/(N-1));
*overlap = 0.661;
break;
case WFUNC_BNUTTALL:
for (n = 0; n < N; n++)
lut[n] = 0.3635819-0.4891775*cos(2*M_PI*n/(N-1))+0.1365995*cos(4*M_PI*n/(N-1))-0.0106411*cos(6*M_PI*n/(N-1));
*overlap = 0.661;
break;
case WFUNC_BHANN:
for (n = 0; n < N; n++)
lut[n] = 0.62-0.48*fabs(n/(double)(N-1)-.5)-0.38*cos(2*M_PI*n/(N-1));
*overlap = 0.5;
break;
case WFUNC_SINE:
for (n = 0; n < N; n++)
lut[n] = sin(M_PI*n/(N-1));
*overlap = 0.75;
break;
case WFUNC_NUTTALL:
for (n = 0; n < N; n++)
lut[n] = 0.355768-0.487396*cos(2*M_PI*n/(N-1))+0.144232*cos(4*M_PI*n/(N-1))-0.012604*cos(6*M_PI*n/(N-1));
*overlap = 0.663;
break;
case WFUNC_LANCZOS:
#define SINC(x) (!(x)) ? 1 : sin(M_PI * (x))/(M_PI * (x));
for (n = 0; n < N; n++)
lut[n] = SINC((2.*n)/(N-1)-1);
*overlap = 0.75;
break;
case WFUNC_GAUSS:
#define SQR(x) ((x)*(x))
for (n = 0; n < N; n++)
lut[n] = exp(-0.5 * SQR((n-(N-1)/2)/(0.4*(N-1)/2.f)));
*overlap = 0.75;
break;
case WFUNC_TUKEY:
for (n = 0; n < N; n++) {
float M = (N-1)/2.;
if (FFABS(n - M) >= 0.3 * M) {
lut[n] = 0.5 * (1 + cos((M_PI*(FFABS(n - M) - 0.3 * M))/((1 - 0.3) * M)));
} else {
lut[n] = 1;
}
}
*overlap = 0.33;
break;
case WFUNC_DOLPH: {
double b = cosh(7.6009022095419887 / (N-1)), sum, t, c, norm = 0;
int j;
for (c = 1 - 1 / (b*b), n = (N-1) / 2; n >= 0; --n) {
for (sum = !n, b = t = j = 1; j <= n && sum != t; b *= (n-j) * (1./j), ++j)
t = sum, sum += (b *= c * (N - n - j) * (1./j));
sum /= (N - 1 - n), norm = norm ? norm : sum, sum /= norm;
lut[n] = sum;
lut[N - 1 - n] = sum;
}
*overlap = 0.5;}
break;
case WFUNC_CAUCHY:
for (n = 0; n < N; n++) {
double x = 2 * ((n / (double)(N - 1)) - .5);
if (x <= -.5 || x >= .5) {
lut[n] = 0;
} else {
lut[n] = FFMIN(1, fabs(1/(1+4*16*x*x)));
}
}
*overlap = 0.75;
break;
case WFUNC_PARZEN:
for (n = 0; n < N; n++) {
double x = 2 * ((n / (double)(N - 1)) - .5);
if (x > 0.25 && x <= 0.5) {
lut[n] = -2 * powf(-1 + 2 * x, 3);
} else if (x >= -.5 && x < -.25) {
lut[n] = 2 * powf(1 + 2 * x, 3);
} else if (x >= -.25 && x < 0) {
lut[n] = 1 - 24 * x * x - 48 * x * x * x;
} else if (x >= 0 && x <= .25) {
lut[n] = 1 - 24 * x * x + 48 * x * x * x;
} else {
lut[n] = 0;
}
}
*overlap = 0.75;
break;
case WFUNC_POISSON:
for (n = 0; n < N; n++) {
double x = 2 * ((n / (double)(N - 1)) - .5);
if (x >= 0 && x <= .5) {
lut[n] = exp(-6*x);
} else if (x < 0 && x >= -.5) {
lut[n] = exp(6*x);
} else {
lut[n] = 0;
}
}
*overlap = 0.75;
break;
case WFUNC_BOHMAN:
for (n = 0; n < N; n++) {
double x = 2 * ((n / (double)(N - 1))) - 1.;
lut[n] = (1 - fabs(x)) * cos(M_PI*fabs(x)) + 1./M_PI*sin(M_PI*fabs(x));
}
*overlap = 0.75;
break;
case WFUNC_KAISER:
for (n = 0; n < N; n++) {
double x = 2.0 / (double)(N - 1);
lut[n] = get_i0(12. * sqrt(1. - SQR(n * x - 1.))) / get_i0(12.);
}
*overlap = 0.75;
break;
default:
av_assert0(0);
}
}
#endif /* AVFILTER_WINDOW_FUNC_H */
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