2 * Template for the Discrete Cosine Transform for 32 samples
3 * Copyright (c) 2001, 2002 Fabrice Bellard
5 * This file is part of FFmpeg.
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.
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.
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
24 #include "libavutil/internal.h"
28 #define SUINT32 int32_t
30 #define SUINT unsigned
31 #define SUINT32 uint32_t
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
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)
45 # define SUINTFLOAT SUINT
49 /* tab[i][j] = 1.0 / (2.0 * cos(pi*(2*k+1) / 2^(6 - j))) */
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)
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)
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)
84 #define COS3_0 FIXHR(0.54119610014619698439/2)
85 #define COS3_1 FIXHR(1.30656296487637652785/4)
87 #define COS4_0 FIXHR(M_SQRT1_2/2)
89 /* butterfly operator */
90 #define BF(a, b, c, s)\
92 tmp0 = val##a + val##b;\
93 tmp1 = val##a - val##b;\
95 val##b = MULH3(tmp1, c, 1<<(s));\
98 #define BF0(a, b, c, s)\
100 tmp0 = tab[a] + tab[b];\
101 tmp1 = tab[a] - tab[b];\
103 val##b = MULH3(tmp1, c, 1<<(s));\
106 #define BF1(a, b, c, d)\
108 BF(a, b, COS4_0, 1);\
109 BF(c, d,-COS4_0, 1);\
113 #define BF2(a, b, c, d)\
115 BF(a, b, COS4_0, 1);\
116 BF(c, d,-COS4_0, 1);\
123 #define ADD(a, b) val##a += val##b
125 /* DCT32 without 1/sqrt(2) coef zero scaling. */
126 void dct32(INTFLOAT
*out
, const INTFLOAT
*tab_arg
)
128 const SUINTFLOAT
*tab
= tab_arg
;
129 SUINTFLOAT tmp0
, tmp1
;
131 SUINTFLOAT val0
, val1
, val2
, val3
, val4
, val5
, val6
, val7
,
132 val8
, val9
, val10
, val11
, val12
, val13
, val14
, val15
,
133 val16
, val17
, val18
, val19
, val20
, val21
, val22
, val23
,
134 val24
, val25
, val26
, val27
, val28
, val29
, val30
, val31
;
137 BF0( 0, 31, COS0_0
, 1);
138 BF0(15, 16, COS0_15
, 5);
140 BF( 0, 15, COS1_0
, 1);
141 BF(16, 31,-COS1_0
, 1);
143 BF0( 7, 24, COS0_7
, 1);
144 BF0( 8, 23, COS0_8
, 1);
146 BF( 7, 8, COS1_7
, 4);
147 BF(23, 24,-COS1_7
, 4);
149 BF( 0, 7, COS2_0
, 1);
150 BF( 8, 15,-COS2_0
, 1);
151 BF(16, 23, COS2_0
, 1);
152 BF(24, 31,-COS2_0
, 1);
154 BF0( 3, 28, COS0_3
, 1);
155 BF0(12, 19, COS0_12
, 2);
157 BF( 3, 12, COS1_3
, 1);
158 BF(19, 28,-COS1_3
, 1);
160 BF0( 4, 27, COS0_4
, 1);
161 BF0(11, 20, COS0_11
, 2);
163 BF( 4, 11, COS1_4
, 1);
164 BF(20, 27,-COS1_4
, 1);
166 BF( 3, 4, COS2_3
, 3);
167 BF(11, 12,-COS2_3
, 3);
168 BF(19, 20, COS2_3
, 3);
169 BF(27, 28,-COS2_3
, 3);
171 BF( 0, 3, COS3_0
, 1);
172 BF( 4, 7,-COS3_0
, 1);
173 BF( 8, 11, COS3_0
, 1);
174 BF(12, 15,-COS3_0
, 1);
175 BF(16, 19, COS3_0
, 1);
176 BF(20, 23,-COS3_0
, 1);
177 BF(24, 27, COS3_0
, 1);
178 BF(28, 31,-COS3_0
, 1);
183 BF0( 1, 30, COS0_1
, 1);
184 BF0(14, 17, COS0_14
, 3);
186 BF( 1, 14, COS1_1
, 1);
187 BF(17, 30,-COS1_1
, 1);
189 BF0( 6, 25, COS0_6
, 1);
190 BF0( 9, 22, COS0_9
, 1);
192 BF( 6, 9, COS1_6
, 2);
193 BF(22, 25,-COS1_6
, 2);
195 BF( 1, 6, COS2_1
, 1);
196 BF( 9, 14,-COS2_1
, 1);
197 BF(17, 22, COS2_1
, 1);
198 BF(25, 30,-COS2_1
, 1);
201 BF0( 2, 29, COS0_2
, 1);
202 BF0(13, 18, COS0_13
, 3);
204 BF( 2, 13, COS1_2
, 1);
205 BF(18, 29,-COS1_2
, 1);
207 BF0( 5, 26, COS0_5
, 1);
208 BF0(10, 21, COS0_10
, 1);
210 BF( 5, 10, COS1_5
, 2);
211 BF(21, 26,-COS1_5
, 2);
213 BF( 2, 5, COS2_2
, 1);
214 BF(10, 13,-COS2_2
, 1);
215 BF(18, 21, COS2_2
, 1);
216 BF(26, 29,-COS2_2
, 1);
218 BF( 1, 2, COS3_1
, 2);
219 BF( 5, 6,-COS3_1
, 2);
220 BF( 9, 10, COS3_1
, 2);
221 BF(13, 14,-COS3_1
, 2);
222 BF(17, 18, COS3_1
, 2);
223 BF(21, 22,-COS3_1
, 2);
224 BF(25, 26, COS3_1
, 2);
225 BF(29, 30,-COS3_1
, 2);
272 out
[ 1] = val16
+ val24
;
273 out
[17] = val17
+ val25
;
274 out
[ 9] = val18
+ val26
;
275 out
[25] = val19
+ val27
;
276 out
[ 5] = val20
+ val28
;
277 out
[21] = val21
+ val29
;
278 out
[13] = val22
+ val30
;
279 out
[29] = val23
+ val31
;
280 out
[ 3] = val24
+ val20
;
281 out
[19] = val25
+ val21
;
282 out
[11] = val26
+ val22
;
283 out
[27] = val27
+ val23
;
284 out
[ 7] = val28
+ val18
;
285 out
[23] = val29
+ val19
;
286 out
[15] = val30
+ val17
;