/src/flac/src/libFLAC/window.c
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1 | | /* libFLAC - Free Lossless Audio Codec library |
2 | | * Copyright (C) 2006-2009 Josh Coalson |
3 | | * Copyright (C) 2011-2025 Xiph.Org Foundation |
4 | | * |
5 | | * Redistribution and use in source and binary forms, with or without |
6 | | * modification, are permitted provided that the following conditions |
7 | | * are met: |
8 | | * |
9 | | * - Redistributions of source code must retain the above copyright |
10 | | * notice, this list of conditions and the following disclaimer. |
11 | | * |
12 | | * - Redistributions in binary form must reproduce the above copyright |
13 | | * notice, this list of conditions and the following disclaimer in the |
14 | | * documentation and/or other materials provided with the distribution. |
15 | | * |
16 | | * - Neither the name of the Xiph.org Foundation nor the names of its |
17 | | * contributors may be used to endorse or promote products derived from |
18 | | * this software without specific prior written permission. |
19 | | * |
20 | | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
21 | | * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
22 | | * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
23 | | * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR |
24 | | * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
25 | | * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
26 | | * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
27 | | * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
28 | | * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING |
29 | | * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
30 | | * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
31 | | */ |
32 | | |
33 | | #ifdef HAVE_CONFIG_H |
34 | | # include <config.h> |
35 | | #endif |
36 | | |
37 | | #include <math.h> |
38 | | #include "share/compat.h" |
39 | | #include "FLAC/assert.h" |
40 | | #include "FLAC/format.h" |
41 | | #include "private/window.h" |
42 | | |
43 | | #ifndef FLAC__INTEGER_ONLY_LIBRARY |
44 | | |
45 | | #if defined(_MSC_VER) |
46 | | // silence 25 MSVC warnings 'conversion from 'double' to 'float', possible loss of data' |
47 | | #pragma warning ( disable : 4244 ) |
48 | | #endif |
49 | | |
50 | | void FLAC__window_bartlett(FLAC__real *window, const FLAC__int32 L) |
51 | 0 | { |
52 | 0 | const FLAC__int32 N = L - 1; |
53 | 0 | FLAC__int32 n; |
54 | |
|
55 | 0 | if (L & 1) { |
56 | 0 | for (n = 0; n <= N/2; n++) |
57 | 0 | window[n] = 2.0f * n / (float)N; |
58 | 0 | for (; n <= N; n++) |
59 | 0 | window[n] = 2.0f - 2.0f * n / (float)N; |
60 | 0 | } |
61 | 0 | else { |
62 | 0 | for (n = 0; n <= L/2-1; n++) |
63 | 0 | window[n] = 2.0f * n / (float)N; |
64 | 0 | for (; n <= N; n++) |
65 | 0 | window[n] = 2.0f - 2.0f * n / (float)N; |
66 | 0 | } |
67 | 0 | } |
68 | | |
69 | | void FLAC__window_bartlett_hann(FLAC__real *window, const FLAC__int32 L) |
70 | 0 | { |
71 | 0 | const FLAC__int32 N = L - 1; |
72 | 0 | FLAC__int32 n; |
73 | |
|
74 | 0 | for (n = 0; n < L; n++) |
75 | 0 | window[n] = (FLAC__real)(0.62f - 0.48f * fabsf((float)n/(float)N-0.5f) - 0.38f * cosf(2.0f * M_PI * ((float)n/(float)N))); |
76 | 0 | } |
77 | | |
78 | | void FLAC__window_blackman(FLAC__real *window, const FLAC__int32 L) |
79 | 0 | { |
80 | 0 | const FLAC__int32 N = L - 1; |
81 | 0 | FLAC__int32 n; |
82 | |
|
83 | 0 | for (n = 0; n < L; n++) |
84 | 0 | window[n] = (FLAC__real)(0.42f - 0.5f * cosf(2.0f * M_PI * n / N) + 0.08f * cosf(4.0f * M_PI * n / N)); |
85 | 0 | } |
86 | | |
87 | | /* 4-term -92dB side-lobe */ |
88 | | void FLAC__window_blackman_harris_4term_92db_sidelobe(FLAC__real *window, const FLAC__int32 L) |
89 | 0 | { |
90 | 0 | const FLAC__int32 N = L - 1; |
91 | 0 | FLAC__int32 n; |
92 | |
|
93 | 0 | for (n = 0; n <= N; n++) |
94 | 0 | window[n] = (FLAC__real)(0.35875f - 0.48829f * cosf(2.0f * M_PI * n / N) + 0.14128f * cosf(4.0f * M_PI * n / N) - 0.01168f * cosf(6.0f * M_PI * n / N)); |
95 | 0 | } |
96 | | |
97 | | void FLAC__window_connes(FLAC__real *window, const FLAC__int32 L) |
98 | 0 | { |
99 | 0 | const FLAC__int32 N = L - 1; |
100 | 0 | const double N2 = (double)N / 2.; |
101 | 0 | FLAC__int32 n; |
102 | |
|
103 | 0 | for (n = 0; n <= N; n++) { |
104 | 0 | double k = ((double)n - N2) / N2; |
105 | 0 | k = 1.0f - k * k; |
106 | 0 | window[n] = (FLAC__real)(k * k); |
107 | 0 | } |
108 | 0 | } |
109 | | |
110 | | void FLAC__window_flattop(FLAC__real *window, const FLAC__int32 L) |
111 | 0 | { |
112 | 0 | const FLAC__int32 N = L - 1; |
113 | 0 | FLAC__int32 n; |
114 | |
|
115 | 0 | for (n = 0; n < L; n++) |
116 | 0 | window[n] = (FLAC__real)(0.21557895f - 0.41663158f * cosf(2.0f * M_PI * n / N) + 0.277263158f * cosf(4.0f * M_PI * n / N) - 0.083578947f * cosf(6.0f * M_PI * n / N) + 0.006947368f * cosf(8.0f * M_PI * n / N)); |
117 | 0 | } |
118 | | |
119 | | void FLAC__window_gauss(FLAC__real *window, const FLAC__int32 L, const FLAC__real stddev) |
120 | 0 | { |
121 | 0 | const FLAC__int32 N = L - 1; |
122 | 0 | const double N2 = (double)N / 2.; |
123 | 0 | FLAC__int32 n; |
124 | |
|
125 | 0 | if(!(stddev > 0.0f && stddev <= 0.5f)) |
126 | | /* stddev is not between 0 and 0.5, might be NaN. |
127 | | * Default to 0.5 */ |
128 | 0 | FLAC__window_gauss(window, L, 0.25f); |
129 | 0 | else { |
130 | 0 | for (n = 0; n <= N; n++) { |
131 | 0 | const double k = ((double)n - N2) / (stddev * N2); |
132 | 0 | window[n] = (FLAC__real)exp(-0.5f * k * k); |
133 | 0 | } |
134 | 0 | } |
135 | 0 | } |
136 | | |
137 | | void FLAC__window_hamming(FLAC__real *window, const FLAC__int32 L) |
138 | 0 | { |
139 | 0 | const FLAC__int32 N = L - 1; |
140 | 0 | FLAC__int32 n; |
141 | |
|
142 | 0 | for (n = 0; n < L; n++) |
143 | 0 | window[n] = (FLAC__real)(0.54f - 0.46f * cosf(2.0f * M_PI * n / N)); |
144 | 0 | } |
145 | | |
146 | | void FLAC__window_hann(FLAC__real *window, const FLAC__int32 L) |
147 | 0 | { |
148 | 0 | const FLAC__int32 N = L - 1; |
149 | 0 | FLAC__int32 n; |
150 | |
|
151 | 0 | for (n = 0; n < L; n++) |
152 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(2.0f * M_PI * n / N)); |
153 | 0 | } |
154 | | |
155 | | void FLAC__window_kaiser_bessel(FLAC__real *window, const FLAC__int32 L) |
156 | 0 | { |
157 | 0 | const FLAC__int32 N = L - 1; |
158 | 0 | FLAC__int32 n; |
159 | |
|
160 | 0 | for (n = 0; n < L; n++) |
161 | 0 | window[n] = (FLAC__real)(0.402f - 0.498f * cosf(2.0f * M_PI * n / N) + 0.098f * cosf(4.0f * M_PI * n / N) - 0.001f * cosf(6.0f * M_PI * n / N)); |
162 | 0 | } |
163 | | |
164 | | void FLAC__window_nuttall(FLAC__real *window, const FLAC__int32 L) |
165 | 0 | { |
166 | 0 | const FLAC__int32 N = L - 1; |
167 | 0 | FLAC__int32 n; |
168 | |
|
169 | 0 | for (n = 0; n < L; n++) |
170 | 0 | window[n] = (FLAC__real)(0.3635819f - 0.4891775f*cosf(2.0f*M_PI*n/N) + 0.1365995f*cosf(4.0f*M_PI*n/N) - 0.0106411f*cosf(6.0f*M_PI*n/N)); |
171 | 0 | } |
172 | | |
173 | | void FLAC__window_rectangle(FLAC__real *window, const FLAC__int32 L) |
174 | 8.20k | { |
175 | 8.20k | FLAC__int32 n; |
176 | | |
177 | 78.4M | for (n = 0; n < L; n++) |
178 | 78.4M | window[n] = 1.0f; |
179 | 8.20k | } |
180 | | |
181 | | void FLAC__window_triangle(FLAC__real *window, const FLAC__int32 L) |
182 | 0 | { |
183 | 0 | FLAC__int32 n; |
184 | |
|
185 | 0 | if (L & 1) { |
186 | 0 | for (n = 1; n <= (L+1)/2; n++) |
187 | 0 | window[n-1] = 2.0f * n / ((float)L + 1.0f); |
188 | 0 | for (; n <= L; n++) |
189 | 0 | window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f); |
190 | 0 | } |
191 | 0 | else { |
192 | 0 | for (n = 1; n <= L/2; n++) |
193 | 0 | window[n-1] = 2.0f * n / ((float)L + 1.0f); |
194 | 0 | for (; n <= L; n++) |
195 | 0 | window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f); |
196 | 0 | } |
197 | 0 | } |
198 | | |
199 | | void FLAC__window_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p) |
200 | 8.20k | { |
201 | 8.20k | if (p <= 0.0) |
202 | 0 | FLAC__window_rectangle(window, L); |
203 | 8.20k | else if (p >= 1.0) |
204 | 0 | FLAC__window_hann(window, L); |
205 | 8.20k | else if (!(p > 0.0f && p < 1.0f)) |
206 | | /* p is not between 0 and 1, probably NaN. |
207 | | * Default to 0.5 */ |
208 | 0 | FLAC__window_tukey(window, L, 0.5f); |
209 | 8.20k | else { |
210 | 8.20k | const FLAC__int32 Np = (FLAC__int32)(p / 2.0f * L) - 1; |
211 | 8.20k | FLAC__int32 n; |
212 | | /* start with rectangle... */ |
213 | 8.20k | FLAC__window_rectangle(window, L); |
214 | | /* ...replace ends with hann */ |
215 | 8.20k | if (Np > 0) { |
216 | 9.04M | for (n = 0; n <= Np; n++) { |
217 | 9.03M | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * n / Np)); |
218 | 9.03M | window[L-Np-1+n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * (n+Np) / Np)); |
219 | 9.03M | } |
220 | 7.55k | } |
221 | 8.20k | } |
222 | 8.20k | } |
223 | | |
224 | | void FLAC__window_partial_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p, const FLAC__real start, const FLAC__real end) |
225 | 0 | { |
226 | 0 | const FLAC__int32 start_n = (FLAC__int32)(start * L); |
227 | 0 | const FLAC__int32 end_n = (FLAC__int32)(end * L); |
228 | 0 | const FLAC__int32 N = end_n - start_n; |
229 | 0 | FLAC__int32 Np, n, i; |
230 | |
|
231 | 0 | if (p <= 0.0f) |
232 | 0 | FLAC__window_partial_tukey(window, L, 0.05f, start, end); |
233 | 0 | else if (p >= 1.0f) |
234 | 0 | FLAC__window_partial_tukey(window, L, 0.95f, start, end); |
235 | 0 | else if (!(p > 0.0f && p < 1.0f)) |
236 | | /* p is not between 0 and 1, probably NaN. |
237 | | * Default to 0.5 */ |
238 | 0 | FLAC__window_partial_tukey(window, L, 0.5f, start, end); |
239 | 0 | else { |
240 | |
|
241 | 0 | Np = (FLAC__int32)(p / 2.0f * N); |
242 | |
|
243 | 0 | for (n = 0; n < start_n && n < L; n++) |
244 | 0 | window[n] = 0.0f; |
245 | 0 | for (i = 1; n < (start_n+Np) && n < L; n++, i++) |
246 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Np)); |
247 | 0 | for (; n < (end_n-Np) && n < L; n++) |
248 | 0 | window[n] = 1.0f; |
249 | 0 | for (i = Np; n < end_n && n < L; n++, i--) |
250 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Np)); |
251 | 0 | for (; n < L; n++) |
252 | 0 | window[n] = 0.0f; |
253 | 0 | } |
254 | 0 | } |
255 | | |
256 | | void FLAC__window_punchout_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p, const FLAC__real start, const FLAC__real end) |
257 | 0 | { |
258 | 0 | const FLAC__int32 start_n = (FLAC__int32)(start * L); |
259 | 0 | const FLAC__int32 end_n = (FLAC__int32)(end * L); |
260 | 0 | FLAC__int32 Ns, Ne, n, i; |
261 | |
|
262 | 0 | if (p <= 0.0f) |
263 | 0 | FLAC__window_punchout_tukey(window, L, 0.05f, start, end); |
264 | 0 | else if (p >= 1.0f) |
265 | 0 | FLAC__window_punchout_tukey(window, L, 0.95f, start, end); |
266 | 0 | else if (!(p > 0.0f && p < 1.0f)) |
267 | | /* p is not between 0 and 1, probably NaN. |
268 | | * Default to 0.5 */ |
269 | 0 | FLAC__window_punchout_tukey(window, L, 0.5f, start, end); |
270 | 0 | else { |
271 | |
|
272 | 0 | Ns = (FLAC__int32)(p / 2.0f * start_n); |
273 | 0 | Ne = (FLAC__int32)(p / 2.0f * (L - end_n)); |
274 | |
|
275 | 0 | for (n = 0, i = 1; n < Ns && n < L; n++, i++) |
276 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ns)); |
277 | 0 | for (; n < start_n-Ns && n < L; n++) |
278 | 0 | window[n] = 1.0f; |
279 | 0 | for (i = Ns; n < start_n && n < L; n++, i--) |
280 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ns)); |
281 | 0 | for (; n < end_n && n < L; n++) |
282 | 0 | window[n] = 0.0f; |
283 | 0 | for (i = 1; n < end_n+Ne && n < L; n++, i++) |
284 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ne)); |
285 | 0 | for (; n < L - (Ne) && n < L; n++) |
286 | 0 | window[n] = 1.0f; |
287 | 0 | for (i = Ne; n < L; n++, i--) |
288 | 0 | window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ne)); |
289 | 0 | } |
290 | 0 | } |
291 | | |
292 | | void FLAC__window_welch(FLAC__real *window, const FLAC__int32 L) |
293 | 0 | { |
294 | 0 | const FLAC__int32 N = L - 1; |
295 | 0 | const double N2 = (double)N / 2.; |
296 | 0 | FLAC__int32 n; |
297 | |
|
298 | 0 | for (n = 0; n <= N; n++) { |
299 | 0 | const double k = ((double)n - N2) / N2; |
300 | 0 | window[n] = (FLAC__real)(1.0f - k * k); |
301 | 0 | } |
302 | 0 | } |
303 | | |
304 | | #if defined(_MSC_VER) |
305 | | #pragma warning ( default : 4244 ) |
306 | | #endif |
307 | | |
308 | | #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ |