libavfilter/window_func.h
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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
 
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 #include <math.h>
 #include "libavutil/avassert.h"
 
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 enum WindowFunc     { WFUNC_RECT, WFUNC_HANNING, WFUNC_HAMMING, WFUNC_BLACKMAN,
                       WFUNC_BARTLETT, WFUNC_WELCH, WFUNC_FLATTOP,
                       WFUNC_BHARRIS, WFUNC_BNUTTALL, WFUNC_SINE, WFUNC_NUTTALL,
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                       WFUNC_BHANN, WFUNC_LANCZOS, WFUNC_GAUSS, WFUNC_TUKEY,
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                       WFUNC_DOLPH, WFUNC_CAUCHY, WFUNC_PARZEN, WFUNC_POISSON,
                       NB_WFUNC };
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 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), sum /= (norm = norm ? norm : sum);
             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;
     default:
         av_assert0(0);
     }
 }
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 #endif /* AVFILTER_WINDOW_FUNC_H */