ce188d4d |
1 | /* libFLAC - Free Lossless Audio Codec library |
2 | * Copyright (C) 2006-2009 Josh Coalson |
3 | * Copyright (C) 2011-2016 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 | |
46 | void FLAC__window_bartlett(FLAC__real *window, const FLAC__int32 L) |
47 | { |
48 | const FLAC__int32 N = L - 1; |
49 | FLAC__int32 n; |
50 | |
51 | if (L & 1) { |
52 | for (n = 0; n <= N/2; n++) |
53 | window[n] = 2.0f * n / (float)N; |
54 | for (; n <= N; n++) |
55 | window[n] = 2.0f - 2.0f * n / (float)N; |
56 | } |
57 | else { |
58 | for (n = 0; n <= L/2-1; n++) |
59 | window[n] = 2.0f * n / (float)N; |
60 | for (; n <= N; n++) |
61 | window[n] = 2.0f - 2.0f * n / (float)N; |
62 | } |
63 | } |
64 | |
65 | void FLAC__window_bartlett_hann(FLAC__real *window, const FLAC__int32 L) |
66 | { |
67 | const FLAC__int32 N = L - 1; |
68 | FLAC__int32 n; |
69 | |
70 | for (n = 0; n < L; n++) |
71 | window[n] = (FLAC__real)(0.62f - 0.48f * fabs((float)n/(float)N-0.5f) - 0.38f * cos(2.0f * M_PI * ((float)n/(float)N))); |
72 | } |
73 | |
74 | void FLAC__window_blackman(FLAC__real *window, const FLAC__int32 L) |
75 | { |
76 | const FLAC__int32 N = L - 1; |
77 | FLAC__int32 n; |
78 | |
79 | for (n = 0; n < L; n++) |
80 | window[n] = (FLAC__real)(0.42f - 0.5f * cos(2.0f * M_PI * n / N) + 0.08f * cos(4.0f * M_PI * n / N)); |
81 | } |
82 | |
83 | /* 4-term -92dB side-lobe */ |
84 | void FLAC__window_blackman_harris_4term_92db_sidelobe(FLAC__real *window, const FLAC__int32 L) |
85 | { |
86 | const FLAC__int32 N = L - 1; |
87 | FLAC__int32 n; |
88 | |
89 | for (n = 0; n <= N; n++) |
90 | window[n] = (FLAC__real)(0.35875f - 0.48829f * cos(2.0f * M_PI * n / N) + 0.14128f * cos(4.0f * M_PI * n / N) - 0.01168f * cos(6.0f * M_PI * n / N)); |
91 | } |
92 | |
93 | void FLAC__window_connes(FLAC__real *window, const FLAC__int32 L) |
94 | { |
95 | const FLAC__int32 N = L - 1; |
96 | const double N2 = (double)N / 2.; |
97 | FLAC__int32 n; |
98 | |
99 | for (n = 0; n <= N; n++) { |
100 | double k = ((double)n - N2) / N2; |
101 | k = 1.0f - k * k; |
102 | window[n] = (FLAC__real)(k * k); |
103 | } |
104 | } |
105 | |
106 | void FLAC__window_flattop(FLAC__real *window, const FLAC__int32 L) |
107 | { |
108 | const FLAC__int32 N = L - 1; |
109 | FLAC__int32 n; |
110 | |
111 | for (n = 0; n < L; n++) |
112 | window[n] = (FLAC__real)(1.0f - 1.93f * cos(2.0f * M_PI * n / N) + 1.29f * cos(4.0f * M_PI * n / N) - 0.388f * cos(6.0f * M_PI * n / N) + 0.0322f * cos(8.0f * M_PI * n / N)); |
113 | } |
114 | |
115 | void FLAC__window_gauss(FLAC__real *window, const FLAC__int32 L, const FLAC__real stddev) |
116 | { |
117 | const FLAC__int32 N = L - 1; |
118 | const double N2 = (double)N / 2.; |
119 | FLAC__int32 n; |
120 | |
121 | for (n = 0; n <= N; n++) { |
122 | const double k = ((double)n - N2) / (stddev * N2); |
123 | window[n] = (FLAC__real)exp(-0.5f * k * k); |
124 | } |
125 | } |
126 | |
127 | void FLAC__window_hamming(FLAC__real *window, const FLAC__int32 L) |
128 | { |
129 | const FLAC__int32 N = L - 1; |
130 | FLAC__int32 n; |
131 | |
132 | for (n = 0; n < L; n++) |
133 | window[n] = (FLAC__real)(0.54f - 0.46f * cos(2.0f * M_PI * n / N)); |
134 | } |
135 | |
136 | void FLAC__window_hann(FLAC__real *window, const FLAC__int32 L) |
137 | { |
138 | const FLAC__int32 N = L - 1; |
139 | FLAC__int32 n; |
140 | |
141 | for (n = 0; n < L; n++) |
142 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(2.0f * M_PI * n / N)); |
143 | } |
144 | |
145 | void FLAC__window_kaiser_bessel(FLAC__real *window, const FLAC__int32 L) |
146 | { |
147 | const FLAC__int32 N = L - 1; |
148 | FLAC__int32 n; |
149 | |
150 | for (n = 0; n < L; n++) |
151 | window[n] = (FLAC__real)(0.402f - 0.498f * cos(2.0f * M_PI * n / N) + 0.098f * cos(4.0f * M_PI * n / N) - 0.001f * cos(6.0f * M_PI * n / N)); |
152 | } |
153 | |
154 | void FLAC__window_nuttall(FLAC__real *window, const FLAC__int32 L) |
155 | { |
156 | const FLAC__int32 N = L - 1; |
157 | FLAC__int32 n; |
158 | |
159 | for (n = 0; n < L; n++) |
160 | window[n] = (FLAC__real)(0.3635819f - 0.4891775f*cos(2.0f*M_PI*n/N) + 0.1365995f*cos(4.0f*M_PI*n/N) - 0.0106411f*cos(6.0f*M_PI*n/N)); |
161 | } |
162 | |
163 | void FLAC__window_rectangle(FLAC__real *window, const FLAC__int32 L) |
164 | { |
165 | FLAC__int32 n; |
166 | |
167 | for (n = 0; n < L; n++) |
168 | window[n] = 1.0f; |
169 | } |
170 | |
171 | void FLAC__window_triangle(FLAC__real *window, const FLAC__int32 L) |
172 | { |
173 | FLAC__int32 n; |
174 | |
175 | if (L & 1) { |
176 | for (n = 1; n <= (L+1)/2; n++) |
177 | window[n-1] = 2.0f * n / ((float)L + 1.0f); |
178 | for (; n <= L; n++) |
179 | window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f); |
180 | } |
181 | else { |
182 | for (n = 1; n <= L/2; n++) |
183 | window[n-1] = 2.0f * n / ((float)L + 1.0f); |
184 | for (; n <= L; n++) |
185 | window[n-1] = (float)(2 * (L - n + 1)) / ((float)L + 1.0f); |
186 | } |
187 | } |
188 | |
189 | void FLAC__window_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p) |
190 | { |
191 | if (p <= 0.0) |
192 | FLAC__window_rectangle(window, L); |
193 | else if (p >= 1.0) |
194 | FLAC__window_hann(window, L); |
195 | else { |
196 | const FLAC__int32 Np = (FLAC__int32)(p / 2.0f * L) - 1; |
197 | FLAC__int32 n; |
198 | /* start with rectangle... */ |
199 | FLAC__window_rectangle(window, L); |
200 | /* ...replace ends with hann */ |
201 | if (Np > 0) { |
202 | for (n = 0; n <= Np; n++) { |
203 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * n / Np)); |
204 | window[L-Np-1+n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * (n+Np) / Np)); |
205 | } |
206 | } |
207 | } |
208 | } |
209 | |
210 | void FLAC__window_partial_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p, const FLAC__real start, const FLAC__real end) |
211 | { |
212 | const FLAC__int32 start_n = (FLAC__int32)(start * L); |
213 | const FLAC__int32 end_n = (FLAC__int32)(end * L); |
214 | const FLAC__int32 N = end_n - start_n; |
215 | FLAC__int32 Np, n, i; |
216 | |
217 | if (p <= 0.0f) |
218 | FLAC__window_partial_tukey(window, L, 0.05f, start, end); |
219 | else if (p >= 1.0f) |
220 | FLAC__window_partial_tukey(window, L, 0.95f, start, end); |
221 | else { |
222 | |
223 | Np = (FLAC__int32)(p / 2.0f * N); |
224 | |
225 | for (n = 0; n < start_n && n < L; n++) |
226 | window[n] = 0.0f; |
227 | for (i = 1; n < (start_n+Np) && n < L; n++, i++) |
228 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Np)); |
229 | for (; n < (end_n-Np) && n < L; n++) |
230 | window[n] = 1.0f; |
231 | for (i = Np; n < end_n && n < L; n++, i--) |
232 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Np)); |
233 | for (; n < L; n++) |
234 | window[n] = 0.0f; |
235 | } |
236 | } |
237 | |
238 | void FLAC__window_punchout_tukey(FLAC__real *window, const FLAC__int32 L, const FLAC__real p, const FLAC__real start, const FLAC__real end) |
239 | { |
240 | const FLAC__int32 start_n = (FLAC__int32)(start * L); |
241 | const FLAC__int32 end_n = (FLAC__int32)(end * L); |
242 | FLAC__int32 Ns, Ne, n, i; |
243 | |
244 | if (p <= 0.0f) |
245 | FLAC__window_punchout_tukey(window, L, 0.05f, start, end); |
246 | else if (p >= 1.0f) |
247 | FLAC__window_punchout_tukey(window, L, 0.95f, start, end); |
248 | else { |
249 | |
250 | Ns = (FLAC__int32)(p / 2.0f * start_n); |
251 | Ne = (FLAC__int32)(p / 2.0f * (L - end_n)); |
252 | |
253 | for (n = 0, i = 1; n < Ns && n < L; n++, i++) |
254 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Ns)); |
255 | for (; n < start_n-Ns && n < L; n++) |
256 | window[n] = 1.0f; |
257 | for (i = Ns; n < start_n && n < L; n++, i--) |
258 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Ns)); |
259 | for (; n < end_n && n < L; n++) |
260 | window[n] = 0.0f; |
261 | for (i = 1; n < end_n+Ne && n < L; n++, i++) |
262 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Ne)); |
263 | for (; n < L - (Ne) && n < L; n++) |
264 | window[n] = 1.0f; |
265 | for (i = Ne; n < L; n++, i--) |
266 | window[n] = (FLAC__real)(0.5f - 0.5f * cos(M_PI * i / Ne)); |
267 | } |
268 | } |
269 | |
270 | void FLAC__window_welch(FLAC__real *window, const FLAC__int32 L) |
271 | { |
272 | const FLAC__int32 N = L - 1; |
273 | const double N2 = (double)N / 2.; |
274 | FLAC__int32 n; |
275 | |
276 | for (n = 0; n <= N; n++) { |
277 | const double k = ((double)n - N2) / N2; |
278 | window[n] = (FLAC__real)(1.0f - k * k); |
279 | } |
280 | } |
281 | |
282 | #endif /* !defined FLAC__INTEGER_ONLY_LIBRARY */ |