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1 /* libFLAC - Free Lossless Audio Codec library
2  * Copyright (C) 2006-2009  Josh Coalson
3  * Copyright (C) 2011-2022  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 
FLAC__window_bartlett(FLAC__real * window,const FLAC__int32 L)50 void FLAC__window_bartlett(FLAC__real *window, const FLAC__int32 L)
51 {
52 	const FLAC__int32 N = L - 1;
53 	FLAC__int32 n;
54 
55 	if (L & 1) {
56 		for (n = 0; n <= N/2; n++)
57 			window[n] = 2.0f * n / (float)N;
58 		for (; n <= N; n++)
59 			window[n] = 2.0f - 2.0f * n / (float)N;
60 	}
61 	else {
62 		for (n = 0; n <= L/2-1; n++)
63 			window[n] = 2.0f * n / (float)N;
64 		for (; n <= N; n++)
65 			window[n] = 2.0f - 2.0f * n / (float)N;
66 	}
67 }
68 
FLAC__window_bartlett_hann(FLAC__real * window,const FLAC__int32 L)69 void FLAC__window_bartlett_hann(FLAC__real *window, const FLAC__int32 L)
70 {
71 	const FLAC__int32 N = L - 1;
72 	FLAC__int32 n;
73 
74 	for (n = 0; n < L; n++)
75 		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 }
77 
FLAC__window_blackman(FLAC__real * window,const FLAC__int32 L)78 void FLAC__window_blackman(FLAC__real *window, const FLAC__int32 L)
79 {
80 	const FLAC__int32 N = L - 1;
81 	FLAC__int32 n;
82 
83 	for (n = 0; n < L; n++)
84 		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 }
86 
87 /* 4-term -92dB side-lobe */
FLAC__window_blackman_harris_4term_92db_sidelobe(FLAC__real * window,const FLAC__int32 L)88 void FLAC__window_blackman_harris_4term_92db_sidelobe(FLAC__real *window, const FLAC__int32 L)
89 {
90 	const FLAC__int32 N = L - 1;
91 	FLAC__int32 n;
92 
93 	for (n = 0; n <= N; n++)
94 		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 }
96 
FLAC__window_connes(FLAC__real * window,const FLAC__int32 L)97 void FLAC__window_connes(FLAC__real *window, const FLAC__int32 L)
98 {
99 	const FLAC__int32 N = L - 1;
100 	const double N2 = (double)N / 2.;
101 	FLAC__int32 n;
102 
103 	for (n = 0; n <= N; n++) {
104 		double k = ((double)n - N2) / N2;
105 		k = 1.0f - k * k;
106 		window[n] = (FLAC__real)(k * k);
107 	}
108 }
109 
FLAC__window_flattop(FLAC__real * window,const FLAC__int32 L)110 void FLAC__window_flattop(FLAC__real *window, const FLAC__int32 L)
111 {
112 	const FLAC__int32 N = L - 1;
113 	FLAC__int32 n;
114 
115 	for (n = 0; n < L; n++)
116 		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 }
118 
FLAC__window_gauss(FLAC__real * window,const FLAC__int32 L,const FLAC__real stddev)119 void FLAC__window_gauss(FLAC__real *window, const FLAC__int32 L, const FLAC__real stddev)
120 {
121 	const FLAC__int32 N = L - 1;
122 	const double N2 = (double)N / 2.;
123 	FLAC__int32 n;
124 
125 	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 		FLAC__window_gauss(window, L, 0.25f);
129 	else {
130 		for (n = 0; n <= N; n++) {
131 			const double k = ((double)n - N2) / (stddev * N2);
132 			window[n] = (FLAC__real)exp(-0.5f * k * k);
133 		}
134 	}
135 }
136 
FLAC__window_hamming(FLAC__real * window,const FLAC__int32 L)137 void FLAC__window_hamming(FLAC__real *window, const FLAC__int32 L)
138 {
139 	const FLAC__int32 N = L - 1;
140 	FLAC__int32 n;
141 
142 	for (n = 0; n < L; n++)
143 		window[n] = (FLAC__real)(0.54f - 0.46f * cosf(2.0f * M_PI * n / N));
144 }
145 
FLAC__window_hann(FLAC__real * window,const FLAC__int32 L)146 void FLAC__window_hann(FLAC__real *window, const FLAC__int32 L)
147 {
148 	const FLAC__int32 N = L - 1;
149 	FLAC__int32 n;
150 
151 	for (n = 0; n < L; n++)
152 		window[n] = (FLAC__real)(0.5f - 0.5f * cosf(2.0f * M_PI * n / N));
153 }
154 
FLAC__window_kaiser_bessel(FLAC__real * window,const FLAC__int32 L)155 void FLAC__window_kaiser_bessel(FLAC__real *window, const FLAC__int32 L)
156 {
157 	const FLAC__int32 N = L - 1;
158 	FLAC__int32 n;
159 
160 	for (n = 0; n < L; n++)
161 		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 }
163 
FLAC__window_nuttall(FLAC__real * window,const FLAC__int32 L)164 void FLAC__window_nuttall(FLAC__real *window, const FLAC__int32 L)
165 {
166 	const FLAC__int32 N = L - 1;
167 	FLAC__int32 n;
168 
169 	for (n = 0; n < L; n++)
170 		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 }
172 
FLAC__window_rectangle(FLAC__real * window,const FLAC__int32 L)173 void FLAC__window_rectangle(FLAC__real *window, const FLAC__int32 L)
174 {
175 	FLAC__int32 n;
176 
177 	for (n = 0; n < L; n++)
178 		window[n] = 1.0f;
179 }
180 
FLAC__window_triangle(FLAC__real * window,const FLAC__int32 L)181 void FLAC__window_triangle(FLAC__real *window, const FLAC__int32 L)
182 {
183 	FLAC__int32 n;
184 
185 	if (L & 1) {
186 		for (n = 1; n <= (L+1)/2; n++)
187 			window[n-1] = 2.0f * n / ((float)L + 1.0f);
188 		for (; n <= L; n++)
189 			window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f);
190 	}
191 	else {
192 		for (n = 1; n <= L/2; n++)
193 			window[n-1] = 2.0f * n / ((float)L + 1.0f);
194 		for (; n <= L; n++)
195 			window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f);
196 	}
197 }
198 
FLAC__window_tukey(FLAC__real * window,const FLAC__int32 L,const FLAC__real p)199 void FLAC__window_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p)
200 {
201 	if (p <= 0.0)
202 		FLAC__window_rectangle(window, L);
203 	else if (p >= 1.0)
204 		FLAC__window_hann(window, L);
205 	else if (!(p > 0.0f && p < 1.0f))
206 		/* p is not between 0 and 1, probably NaN.
207 		 * Default to 0.5 */
208 		FLAC__window_tukey(window, L, 0.5f);
209 	else {
210 		const FLAC__int32 Np = (FLAC__int32)(p / 2.0f * L) - 1;
211 		FLAC__int32 n;
212 		/* start with rectangle... */
213 		FLAC__window_rectangle(window, L);
214 		/* ...replace ends with hann */
215 		if (Np > 0) {
216 			for (n = 0; n <= Np; n++) {
217 				window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * n / Np));
218 				window[L-Np-1+n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * (n+Np) / Np));
219 			}
220 		}
221 	}
222 }
223 
FLAC__window_partial_tukey(FLAC__real * window,const FLAC__int32 L,const FLAC__real p,const FLAC__real start,const FLAC__real end)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 {
226 	const FLAC__int32 start_n = (FLAC__int32)(start * L);
227 	const FLAC__int32 end_n = (FLAC__int32)(end * L);
228 	const FLAC__int32 N = end_n - start_n;
229 	FLAC__int32 Np, n, i;
230 
231 	if (p <= 0.0f)
232 		FLAC__window_partial_tukey(window, L, 0.05f, start, end);
233 	else if (p >= 1.0f)
234 		FLAC__window_partial_tukey(window, L, 0.95f, start, end);
235 	else if (!(p > 0.0f && p < 1.0f))
236 		/* p is not between 0 and 1, probably NaN.
237 		 * Default to 0.5 */
238 		FLAC__window_partial_tukey(window, L, 0.5f, start, end);
239 	else {
240 
241 		Np = (FLAC__int32)(p / 2.0f * N);
242 
243 		for (n = 0; n < start_n && n < L; n++)
244 			window[n] = 0.0f;
245 		for (i = 1; n < (start_n+Np) && n < L; n++, i++)
246 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Np));
247 		for (; n < (end_n-Np) && n < L; n++)
248 			window[n] = 1.0f;
249 		for (i = Np; n < end_n && n < L; n++, i--)
250 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Np));
251 		for (; n < L; n++)
252 			window[n] = 0.0f;
253 	}
254 }
255 
FLAC__window_punchout_tukey(FLAC__real * window,const FLAC__int32 L,const FLAC__real p,const FLAC__real start,const FLAC__real end)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 {
258 	const FLAC__int32 start_n = (FLAC__int32)(start * L);
259 	const FLAC__int32 end_n = (FLAC__int32)(end * L);
260 	FLAC__int32 Ns, Ne, n, i;
261 
262 	if (p <= 0.0f)
263 		FLAC__window_punchout_tukey(window, L, 0.05f, start, end);
264 	else if (p >= 1.0f)
265 		FLAC__window_punchout_tukey(window, L, 0.95f, start, end);
266 	else if (!(p > 0.0f && p < 1.0f))
267 		/* p is not between 0 and 1, probably NaN.
268 		 * Default to 0.5 */
269 		FLAC__window_punchout_tukey(window, L, 0.5f, start, end);
270 	else {
271 
272 		Ns = (FLAC__int32)(p / 2.0f * start_n);
273 		Ne = (FLAC__int32)(p / 2.0f * (L - end_n));
274 
275 		for (n = 0, i = 1; n < Ns && n < L; n++, i++)
276 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ns));
277 		for (; n < start_n-Ns && n < L; n++)
278 			window[n] = 1.0f;
279 		for (i = Ns; n < start_n && n < L; n++, i--)
280 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ns));
281 		for (; n < end_n && n < L; n++)
282 			window[n] = 0.0f;
283 		for (i = 1; n < end_n+Ne && n < L; n++, i++)
284 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ne));
285 		for (; n < L - (Ne) && n < L; n++)
286 			window[n] = 1.0f;
287 		for (i = Ne; n < L; n++, i--)
288 			window[n] = (FLAC__real)(0.5f - 0.5f * cosf(M_PI * i / Ne));
289 	}
290 }
291 
FLAC__window_welch(FLAC__real * window,const FLAC__int32 L)292 void FLAC__window_welch(FLAC__real *window, const FLAC__int32 L)
293 {
294 	const FLAC__int32 N = L - 1;
295 	const double N2 = (double)N / 2.;
296 	FLAC__int32 n;
297 
298 	for (n = 0; n <= N; n++) {
299 		const double k = ((double)n - N2) / N2;
300 		window[n] = (FLAC__real)(1.0f - k * k);
301 	}
302 }
303 
304 #if defined(_MSC_VER)
305 #pragma warning ( default : 4244 )
306 #endif
307 
308 #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */
309