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1 /*
2  * Copyright (c) 2015 Paul B Mahol
3  *
4  * This file is part of FFmpeg.
5  *
6  * FFmpeg is free software; you can redistribute it and/or
7  * modify it under the terms of the GNU Lesser General Public
8  * License as published by the Free Software Foundation; either
9  * version 2.1 of the License, or (at your option) any later version.
10  *
11  * FFmpeg is distributed in the hope that it will be useful,
12  * but WITHOUT ANY WARRANTY; without even the implied warranty of
13  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
14  * Lesser General Public License for more details.
15  *
16  * You should have received a copy of the GNU Lesser General Public
17  * License along with FFmpeg; if not, write to the Free Software
18  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
19  */
20 
21 
22 #ifndef AVFILTER_WINDOW_FUNC_H
23 #define AVFILTER_WINDOW_FUNC_H
24 
25 #include <math.h>
26 #include "libavutil/avassert.h"
27 #include "libavutil/common.h"
28 
29 enum WindowFunc     { WFUNC_RECT, WFUNC_HANNING, WFUNC_HAMMING, WFUNC_BLACKMAN,
30                       WFUNC_BARTLETT, WFUNC_WELCH, WFUNC_FLATTOP,
31                       WFUNC_BHARRIS, WFUNC_BNUTTALL, WFUNC_SINE, WFUNC_NUTTALL,
32                       WFUNC_BHANN, WFUNC_LANCZOS, WFUNC_GAUSS, WFUNC_TUKEY,
33                       WFUNC_DOLPH, WFUNC_CAUCHY, WFUNC_PARZEN, WFUNC_POISSON,
34                       WFUNC_BOHMAN,
35                       NB_WFUNC };
36 
37 #define WIN_FUNC_OPTION(win_func_opt_name, win_func_offset, flag, default_window_func)                              \
38     { 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" }, \
39         { "rect",     "Rectangular",      0, AV_OPT_TYPE_CONST, {.i64=WFUNC_RECT},     0, 0, flag, "win_func" }, \
40         { "bartlett", "Bartlett",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BARTLETT}, 0, 0, flag, "win_func" }, \
41         { "hann",     "Hann",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, flag, "win_func" }, \
42         { "hanning",  "Hanning",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HANNING},  0, 0, flag, "win_func" }, \
43         { "hamming",  "Hamming",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_HAMMING},  0, 0, flag, "win_func" }, \
44         { "blackman", "Blackman",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BLACKMAN}, 0, 0, flag, "win_func" }, \
45         { "welch",    "Welch",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_WELCH},    0, 0, flag, "win_func" }, \
46         { "flattop",  "Flat-top",         0, AV_OPT_TYPE_CONST, {.i64=WFUNC_FLATTOP},  0, 0, flag, "win_func" }, \
47         { "bharris",  "Blackman-Harris",  0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHARRIS},  0, 0, flag, "win_func" }, \
48         { "bnuttall", "Blackman-Nuttall", 0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BNUTTALL}, 0, 0, flag, "win_func" }, \
49         { "bhann",    "Bartlett-Hann",    0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BHANN},    0, 0, flag, "win_func" }, \
50         { "sine",     "Sine",             0, AV_OPT_TYPE_CONST, {.i64=WFUNC_SINE},     0, 0, flag, "win_func" }, \
51         { "nuttall",  "Nuttall",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_NUTTALL},  0, 0, flag, "win_func" }, \
52         { "lanczos",  "Lanczos",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_LANCZOS},  0, 0, flag, "win_func" }, \
53         { "gauss",    "Gauss",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_GAUSS},    0, 0, flag, "win_func" }, \
54         { "tukey",    "Tukey",            0, AV_OPT_TYPE_CONST, {.i64=WFUNC_TUKEY},    0, 0, flag, "win_func" }, \
55         { "dolph",    "Dolph-Chebyshev",  0, AV_OPT_TYPE_CONST, {.i64=WFUNC_DOLPH},    0, 0, flag, "win_func" }, \
56         { "cauchy",   "Cauchy",           0, AV_OPT_TYPE_CONST, {.i64=WFUNC_CAUCHY},   0, 0, flag, "win_func" }, \
57         { "parzen",   "Parzen",           0, AV_OPT_TYPE_CONST, {.i64=WFUNC_PARZEN},   0, 0, flag, "win_func" }, \
58         { "poisson",  "Poisson",          0, AV_OPT_TYPE_CONST, {.i64=WFUNC_POISSON},  0, 0, flag, "win_func" }, \
59         { "bohman",   "Bohman",           0, AV_OPT_TYPE_CONST, {.i64=WFUNC_BOHMAN},   0, 0, flag, "win_func" }
60 
generate_window_func(float * lut,int N,int win_func,float * overlap)61 static inline void generate_window_func(float *lut, int N, int win_func,
62                                         float *overlap)
63 {
64     int n;
65 
66     switch (win_func) {
67     case WFUNC_RECT:
68         for (n = 0; n < N; n++)
69             lut[n] = 1.;
70         *overlap = 0.;
71         break;
72     case WFUNC_BARTLETT:
73         for (n = 0; n < N; n++)
74             lut[n] = 1.-fabs((n-(N-1)/2.)/((N-1)/2.));
75         *overlap = 0.5;
76         break;
77     case WFUNC_HANNING:
78         for (n = 0; n < N; n++)
79             lut[n] = .5*(1-cos(2*M_PI*n/(N-1)));
80         *overlap = 0.5;
81         break;
82     case WFUNC_HAMMING:
83         for (n = 0; n < N; n++)
84             lut[n] = .54-.46*cos(2*M_PI*n/(N-1));
85         *overlap = 0.5;
86         break;
87     case WFUNC_BLACKMAN:
88         for (n = 0; n < N; n++)
89             lut[n] = .42659-.49656*cos(2*M_PI*n/(N-1))+.076849*cos(4*M_PI*n/(N-1));
90         *overlap = 0.661;
91         break;
92     case WFUNC_WELCH:
93         for (n = 0; n < N; n++)
94             lut[n] = 1.-(n-(N-1)/2.)/((N-1)/2.)*(n-(N-1)/2.)/((N-1)/2.);
95         *overlap = 0.293;
96         break;
97     case WFUNC_FLATTOP:
98         for (n = 0; n < N; n++)
99             lut[n] = 1.-1.985844164102*cos( 2*M_PI*n/(N-1))+1.791176438506*cos( 4*M_PI*n/(N-1))-
100             1.282075284005*cos( 6*M_PI*n/(N-1))+0.667777530266*cos( 8*M_PI*n/(N-1))-
101             0.240160796576*cos(10*M_PI*n/(N-1))+0.056656381764*cos(12*M_PI*n/(N-1))-
102             0.008134974479*cos(14*M_PI*n/(N-1))+0.000624544650*cos(16*M_PI*n/(N-1))-
103             0.000019808998*cos(18*M_PI*n/(N-1))+0.000000132974*cos(20*M_PI*n/(N-1));
104         *overlap = 0.841;
105         break;
106     case WFUNC_BHARRIS:
107         for (n = 0; n < N; n++)
108             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));
109         *overlap = 0.661;
110         break;
111     case WFUNC_BNUTTALL:
112         for (n = 0; n < N; n++)
113             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));
114         *overlap = 0.661;
115         break;
116     case WFUNC_BHANN:
117         for (n = 0; n < N; n++)
118             lut[n] = 0.62-0.48*fabs(n/(double)(N-1)-.5)-0.38*cos(2*M_PI*n/(N-1));
119         *overlap = 0.5;
120         break;
121     case WFUNC_SINE:
122         for (n = 0; n < N; n++)
123             lut[n] = sin(M_PI*n/(N-1));
124         *overlap = 0.75;
125         break;
126     case WFUNC_NUTTALL:
127         for (n = 0; n < N; n++)
128             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));
129         *overlap = 0.663;
130         break;
131     case WFUNC_LANCZOS:
132         #define SINC(x) (!(x)) ? 1 : sin(M_PI * (x))/(M_PI * (x));
133         for (n = 0; n < N; n++)
134             lut[n] = SINC((2.*n)/(N-1)-1);
135         *overlap = 0.75;
136         break;
137     case WFUNC_GAUSS:
138         #define SQR(x) ((x)*(x))
139         for (n = 0; n < N; n++)
140             lut[n] = exp(-0.5 * SQR((n-(N-1)/2)/(0.4*(N-1)/2.f)));
141         *overlap = 0.75;
142         break;
143     case WFUNC_TUKEY:
144         for (n = 0; n < N; n++) {
145             float M = (N-1)/2.;
146 
147             if (FFABS(n - M) >= 0.3 * M) {
148                 lut[n] = 0.5 * (1 + cos((M_PI*(FFABS(n - M) - 0.3 * M))/((1 - 0.3) * M)));
149             } else {
150                 lut[n] = 1;
151             }
152         }
153         *overlap = 0.33;
154         break;
155     case WFUNC_DOLPH: {
156         double b = cosh(7.6009022095419887 / (N-1)), sum, t, c, norm = 0;
157         int j;
158         for (c = 1 - 1 / (b*b), n = (N-1) / 2; n >= 0; --n) {
159             for (sum = !n, b = t = j = 1; j <= n && sum != t; b *= (n-j) * (1./j), ++j)
160                 t = sum, sum += (b *= c * (N - n - j) * (1./j));
161             sum /= (N - 1 - n), norm = norm ? norm : sum, sum /= norm;
162             lut[n] = sum;
163             lut[N - 1 - n] = sum;
164         }
165         *overlap = 0.5;}
166         break;
167     case WFUNC_CAUCHY:
168         for (n = 0; n < N; n++) {
169             double x = 2 * ((n / (double)(N - 1)) - .5);
170 
171             if (x <= -.5 || x >= .5) {
172                 lut[n] = 0;
173             } else {
174                 lut[n] = FFMIN(1, fabs(1/(1+4*16*x*x)));
175             }
176         }
177         *overlap = 0.75;
178         break;
179     case WFUNC_PARZEN:
180         for (n = 0; n < N; n++) {
181             double x = 2 * ((n / (double)(N - 1)) - .5);
182 
183             if (x > 0.25 && x <= 0.5) {
184                 lut[n] = -2 * powf(-1 + 2 * x, 3);
185             } else if (x >= -.5 && x < -.25) {
186                 lut[n] = 2 * powf(1 + 2 * x, 3);
187             } else if (x >= -.25 && x < 0) {
188                 lut[n] = 1 - 24 * x * x - 48 * x * x * x;
189             } else if (x >= 0 && x <= .25) {
190                 lut[n] = 1 - 24 * x * x + 48 * x * x * x;
191             } else {
192                 lut[n] = 0;
193             }
194         }
195         *overlap = 0.75;
196         break;
197     case WFUNC_POISSON:
198         for (n = 0; n < N; n++) {
199             double x = 2 * ((n / (double)(N - 1)) - .5);
200 
201             if (x >= 0 && x <= .5) {
202                 lut[n] = exp(-6*x);
203             } else if (x < 0 && x >= -.5) {
204                 lut[n] = exp(6*x);
205             } else {
206                 lut[n] = 0;
207             }
208         }
209         *overlap = 0.75;
210         break;
211     case WFUNC_BOHMAN:
212         for (n = 0; n < N; n++) {
213             double x = 2 * ((n / (double)(N - 1))) - 1.;
214 
215             lut[n] = (1 - fabs(x)) * cos(M_PI*fabs(x)) + 1./M_PI*sin(M_PI*fabs(x));
216         }
217         *overlap = 0.75;
218         break;
219     default:
220         av_assert0(0);
221     }
222 }
223 
224 #endif /* AVFILTER_WINDOW_FUNC_H */
225