blob: bb3f1553acec555b5f3b5f9075d2ebf358252516
1 | /* |
2 | * Template for the Discrete Cosine Transform for 32 samples |
3 | * Copyright (c) 2001, 2002 Fabrice Bellard |
4 | * |
5 | * This file is part of FFmpeg. |
6 | * |
7 | * FFmpeg is free software; you can redistribute it and/or |
8 | * modify it under the terms of the GNU Lesser General Public |
9 | * License as published by the Free Software Foundation; either |
10 | * version 2.1 of the License, or (at your option) any later version. |
11 | * |
12 | * FFmpeg is distributed in the hope that it will be useful, |
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
15 | * Lesser General Public License for more details. |
16 | * |
17 | * You should have received a copy of the GNU Lesser General Public |
18 | * License along with FFmpeg; if not, write to the Free Software |
19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA |
20 | */ |
21 | |
22 | #include "dct32.h" |
23 | #include "mathops.h" |
24 | #include "libavutil/internal.h" |
25 | |
26 | #ifdef CHECKED |
27 | #define SUINT int |
28 | #define SUINT32 int32_t |
29 | #else |
30 | #define SUINT unsigned |
31 | #define SUINT32 uint32_t |
32 | #endif |
33 | |
34 | #if DCT32_FLOAT |
35 | # define dct32 ff_dct32_float |
36 | # define FIXHR(x) ((float)(x)) |
37 | # define MULH3(x, y, s) ((s)*(y)*(x)) |
38 | # define INTFLOAT float |
39 | # define SUINTFLOAT float |
40 | #else |
41 | # define dct32 ff_dct32_fixed |
42 | # define FIXHR(a) ((int)((a) * (1LL<<32) + 0.5)) |
43 | # define MULH3(x, y, s) MULH((s)*(x), y) |
44 | # define INTFLOAT int |
45 | # define SUINTFLOAT SUINT |
46 | #endif |
47 | |
48 | |
49 | /* tab[i][j] = 1.0 / (2.0 * cos(pi*(2*k+1) / 2^(6 - j))) */ |
50 | |
51 | /* cos(i*pi/64) */ |
52 | |
53 | #define COS0_0 FIXHR(0.50060299823519630134/2) |
54 | #define COS0_1 FIXHR(0.50547095989754365998/2) |
55 | #define COS0_2 FIXHR(0.51544730992262454697/2) |
56 | #define COS0_3 FIXHR(0.53104259108978417447/2) |
57 | #define COS0_4 FIXHR(0.55310389603444452782/2) |
58 | #define COS0_5 FIXHR(0.58293496820613387367/2) |
59 | #define COS0_6 FIXHR(0.62250412303566481615/2) |
60 | #define COS0_7 FIXHR(0.67480834145500574602/2) |
61 | #define COS0_8 FIXHR(0.74453627100229844977/2) |
62 | #define COS0_9 FIXHR(0.83934964541552703873/2) |
63 | #define COS0_10 FIXHR(0.97256823786196069369/2) |
64 | #define COS0_11 FIXHR(1.16943993343288495515/4) |
65 | #define COS0_12 FIXHR(1.48416461631416627724/4) |
66 | #define COS0_13 FIXHR(2.05778100995341155085/8) |
67 | #define COS0_14 FIXHR(3.40760841846871878570/8) |
68 | #define COS0_15 FIXHR(10.19000812354805681150/32) |
69 | |
70 | #define COS1_0 FIXHR(0.50241928618815570551/2) |
71 | #define COS1_1 FIXHR(0.52249861493968888062/2) |
72 | #define COS1_2 FIXHR(0.56694403481635770368/2) |
73 | #define COS1_3 FIXHR(0.64682178335999012954/2) |
74 | #define COS1_4 FIXHR(0.78815462345125022473/2) |
75 | #define COS1_5 FIXHR(1.06067768599034747134/4) |
76 | #define COS1_6 FIXHR(1.72244709823833392782/4) |
77 | #define COS1_7 FIXHR(5.10114861868916385802/16) |
78 | |
79 | #define COS2_0 FIXHR(0.50979557910415916894/2) |
80 | #define COS2_1 FIXHR(0.60134488693504528054/2) |
81 | #define COS2_2 FIXHR(0.89997622313641570463/2) |
82 | #define COS2_3 FIXHR(2.56291544774150617881/8) |
83 | |
84 | #define COS3_0 FIXHR(0.54119610014619698439/2) |
85 | #define COS3_1 FIXHR(1.30656296487637652785/4) |
86 | |
87 | #define COS4_0 FIXHR(M_SQRT1_2/2) |
88 | |
89 | /* butterfly operator */ |
90 | #define BF(a, b, c, s)\ |
91 | {\ |
92 | tmp0 = val##a + val##b;\ |
93 | tmp1 = val##a - val##b;\ |
94 | val##a = tmp0;\ |
95 | val##b = MULH3(tmp1, c, 1<<(s));\ |
96 | } |
97 | |
98 | #define BF0(a, b, c, s)\ |
99 | {\ |
100 | tmp0 = tab[a] + tab[b];\ |
101 | tmp1 = tab[a] - tab[b];\ |
102 | val##a = tmp0;\ |
103 | val##b = MULH3(tmp1, c, 1<<(s));\ |
104 | } |
105 | |
106 | #define BF1(a, b, c, d)\ |
107 | {\ |
108 | BF(a, b, COS4_0, 1);\ |
109 | BF(c, d,-COS4_0, 1);\ |
110 | val##c += val##d;\ |
111 | } |
112 | |
113 | #define BF2(a, b, c, d)\ |
114 | {\ |
115 | BF(a, b, COS4_0, 1);\ |
116 | BF(c, d,-COS4_0, 1);\ |
117 | val##c += val##d;\ |
118 | val##a += val##c;\ |
119 | val##c += val##b;\ |
120 | val##b += val##d;\ |
121 | } |
122 | |
123 | #define ADD(a, b) val##a += val##b |
124 | |
125 | /* DCT32 without 1/sqrt(2) coef zero scaling. */ |
126 | void dct32(INTFLOAT *out, const INTFLOAT *tab) |
127 | { |
128 | SUINTFLOAT tmp0, tmp1; |
129 | |
130 | SUINTFLOAT val0 , val1 , val2 , val3 , val4 , val5 , val6 , val7 , |
131 | val8 , val9 , val10, val11, val12, val13, val14, val15, |
132 | val16, val17, val18, val19, val20, val21, val22, val23, |
133 | val24, val25, val26, val27, val28, val29, val30, val31; |
134 | |
135 | /* pass 1 */ |
136 | BF0( 0, 31, COS0_0 , 1); |
137 | BF0(15, 16, COS0_15, 5); |
138 | /* pass 2 */ |
139 | BF( 0, 15, COS1_0 , 1); |
140 | BF(16, 31,-COS1_0 , 1); |
141 | /* pass 1 */ |
142 | BF0( 7, 24, COS0_7 , 1); |
143 | BF0( 8, 23, COS0_8 , 1); |
144 | /* pass 2 */ |
145 | BF( 7, 8, COS1_7 , 4); |
146 | BF(23, 24,-COS1_7 , 4); |
147 | /* pass 3 */ |
148 | BF( 0, 7, COS2_0 , 1); |
149 | BF( 8, 15,-COS2_0 , 1); |
150 | BF(16, 23, COS2_0 , 1); |
151 | BF(24, 31,-COS2_0 , 1); |
152 | /* pass 1 */ |
153 | BF0( 3, 28, COS0_3 , 1); |
154 | BF0(12, 19, COS0_12, 2); |
155 | /* pass 2 */ |
156 | BF( 3, 12, COS1_3 , 1); |
157 | BF(19, 28,-COS1_3 , 1); |
158 | /* pass 1 */ |
159 | BF0( 4, 27, COS0_4 , 1); |
160 | BF0(11, 20, COS0_11, 2); |
161 | /* pass 2 */ |
162 | BF( 4, 11, COS1_4 , 1); |
163 | BF(20, 27,-COS1_4 , 1); |
164 | /* pass 3 */ |
165 | BF( 3, 4, COS2_3 , 3); |
166 | BF(11, 12,-COS2_3 , 3); |
167 | BF(19, 20, COS2_3 , 3); |
168 | BF(27, 28,-COS2_3 , 3); |
169 | /* pass 4 */ |
170 | BF( 0, 3, COS3_0 , 1); |
171 | BF( 4, 7,-COS3_0 , 1); |
172 | BF( 8, 11, COS3_0 , 1); |
173 | BF(12, 15,-COS3_0 , 1); |
174 | BF(16, 19, COS3_0 , 1); |
175 | BF(20, 23,-COS3_0 , 1); |
176 | BF(24, 27, COS3_0 , 1); |
177 | BF(28, 31,-COS3_0 , 1); |
178 | |
179 | |
180 | |
181 | /* pass 1 */ |
182 | BF0( 1, 30, COS0_1 , 1); |
183 | BF0(14, 17, COS0_14, 3); |
184 | /* pass 2 */ |
185 | BF( 1, 14, COS1_1 , 1); |
186 | BF(17, 30,-COS1_1 , 1); |
187 | /* pass 1 */ |
188 | BF0( 6, 25, COS0_6 , 1); |
189 | BF0( 9, 22, COS0_9 , 1); |
190 | /* pass 2 */ |
191 | BF( 6, 9, COS1_6 , 2); |
192 | BF(22, 25,-COS1_6 , 2); |
193 | /* pass 3 */ |
194 | BF( 1, 6, COS2_1 , 1); |
195 | BF( 9, 14,-COS2_1 , 1); |
196 | BF(17, 22, COS2_1 , 1); |
197 | BF(25, 30,-COS2_1 , 1); |
198 | |
199 | /* pass 1 */ |
200 | BF0( 2, 29, COS0_2 , 1); |
201 | BF0(13, 18, COS0_13, 3); |
202 | /* pass 2 */ |
203 | BF( 2, 13, COS1_2 , 1); |
204 | BF(18, 29,-COS1_2 , 1); |
205 | /* pass 1 */ |
206 | BF0( 5, 26, COS0_5 , 1); |
207 | BF0(10, 21, COS0_10, 1); |
208 | /* pass 2 */ |
209 | BF( 5, 10, COS1_5 , 2); |
210 | BF(21, 26,-COS1_5 , 2); |
211 | /* pass 3 */ |
212 | BF( 2, 5, COS2_2 , 1); |
213 | BF(10, 13,-COS2_2 , 1); |
214 | BF(18, 21, COS2_2 , 1); |
215 | BF(26, 29,-COS2_2 , 1); |
216 | /* pass 4 */ |
217 | BF( 1, 2, COS3_1 , 2); |
218 | BF( 5, 6,-COS3_1 , 2); |
219 | BF( 9, 10, COS3_1 , 2); |
220 | BF(13, 14,-COS3_1 , 2); |
221 | BF(17, 18, COS3_1 , 2); |
222 | BF(21, 22,-COS3_1 , 2); |
223 | BF(25, 26, COS3_1 , 2); |
224 | BF(29, 30,-COS3_1 , 2); |
225 | |
226 | /* pass 5 */ |
227 | BF1( 0, 1, 2, 3); |
228 | BF2( 4, 5, 6, 7); |
229 | BF1( 8, 9, 10, 11); |
230 | BF2(12, 13, 14, 15); |
231 | BF1(16, 17, 18, 19); |
232 | BF2(20, 21, 22, 23); |
233 | BF1(24, 25, 26, 27); |
234 | BF2(28, 29, 30, 31); |
235 | |
236 | /* pass 6 */ |
237 | |
238 | ADD( 8, 12); |
239 | ADD(12, 10); |
240 | ADD(10, 14); |
241 | ADD(14, 9); |
242 | ADD( 9, 13); |
243 | ADD(13, 11); |
244 | ADD(11, 15); |
245 | |
246 | out[ 0] = val0; |
247 | out[16] = val1; |
248 | out[ 8] = val2; |
249 | out[24] = val3; |
250 | out[ 4] = val4; |
251 | out[20] = val5; |
252 | out[12] = val6; |
253 | out[28] = val7; |
254 | out[ 2] = val8; |
255 | out[18] = val9; |
256 | out[10] = val10; |
257 | out[26] = val11; |
258 | out[ 6] = val12; |
259 | out[22] = val13; |
260 | out[14] = val14; |
261 | out[30] = val15; |
262 | |
263 | ADD(24, 28); |
264 | ADD(28, 26); |
265 | ADD(26, 30); |
266 | ADD(30, 25); |
267 | ADD(25, 29); |
268 | ADD(29, 27); |
269 | ADD(27, 31); |
270 | |
271 | out[ 1] = val16 + val24; |
272 | out[17] = val17 + val25; |
273 | out[ 9] = val18 + val26; |
274 | out[25] = val19 + val27; |
275 | out[ 5] = val20 + val28; |
276 | out[21] = val21 + val29; |
277 | out[13] = val22 + val30; |
278 | out[29] = val23 + val31; |
279 | out[ 3] = val24 + val20; |
280 | out[19] = val25 + val21; |
281 | out[11] = val26 + val22; |
282 | out[27] = val27 + val23; |
283 | out[ 7] = val28 + val18; |
284 | out[23] = val29 + val19; |
285 | out[15] = val30 + val17; |
286 | out[31] = val31; |
287 | } |
288 |