FFmpeg
dct32_template.c
Go to the documentation of this file.
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_arg)
127 {
128  const SUINTFLOAT *tab = tab_arg;
129  SUINTFLOAT tmp0, tmp1;
130 
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;
135 
136  /* pass 1 */
137  BF0( 0, 31, COS0_0 , 1);
138  BF0(15, 16, COS0_15, 5);
139  /* pass 2 */
140  BF( 0, 15, COS1_0 , 1);
141  BF(16, 31,-COS1_0 , 1);
142  /* pass 1 */
143  BF0( 7, 24, COS0_7 , 1);
144  BF0( 8, 23, COS0_8 , 1);
145  /* pass 2 */
146  BF( 7, 8, COS1_7 , 4);
147  BF(23, 24,-COS1_7 , 4);
148  /* pass 3 */
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);
153  /* pass 1 */
154  BF0( 3, 28, COS0_3 , 1);
155  BF0(12, 19, COS0_12, 2);
156  /* pass 2 */
157  BF( 3, 12, COS1_3 , 1);
158  BF(19, 28,-COS1_3 , 1);
159  /* pass 1 */
160  BF0( 4, 27, COS0_4 , 1);
161  BF0(11, 20, COS0_11, 2);
162  /* pass 2 */
163  BF( 4, 11, COS1_4 , 1);
164  BF(20, 27,-COS1_4 , 1);
165  /* pass 3 */
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);
170  /* pass 4 */
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);
179 
180 
181 
182  /* pass 1 */
183  BF0( 1, 30, COS0_1 , 1);
184  BF0(14, 17, COS0_14, 3);
185  /* pass 2 */
186  BF( 1, 14, COS1_1 , 1);
187  BF(17, 30,-COS1_1 , 1);
188  /* pass 1 */
189  BF0( 6, 25, COS0_6 , 1);
190  BF0( 9, 22, COS0_9 , 1);
191  /* pass 2 */
192  BF( 6, 9, COS1_6 , 2);
193  BF(22, 25,-COS1_6 , 2);
194  /* pass 3 */
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);
199 
200  /* pass 1 */
201  BF0( 2, 29, COS0_2 , 1);
202  BF0(13, 18, COS0_13, 3);
203  /* pass 2 */
204  BF( 2, 13, COS1_2 , 1);
205  BF(18, 29,-COS1_2 , 1);
206  /* pass 1 */
207  BF0( 5, 26, COS0_5 , 1);
208  BF0(10, 21, COS0_10, 1);
209  /* pass 2 */
210  BF( 5, 10, COS1_5 , 2);
211  BF(21, 26,-COS1_5 , 2);
212  /* pass 3 */
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);
217  /* pass 4 */
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);
226 
227  /* pass 5 */
228  BF1( 0, 1, 2, 3);
229  BF2( 4, 5, 6, 7);
230  BF1( 8, 9, 10, 11);
231  BF2(12, 13, 14, 15);
232  BF1(16, 17, 18, 19);
233  BF2(20, 21, 22, 23);
234  BF1(24, 25, 26, 27);
235  BF2(28, 29, 30, 31);
236 
237  /* pass 6 */
238 
239  ADD( 8, 12);
240  ADD(12, 10);
241  ADD(10, 14);
242  ADD(14, 9);
243  ADD( 9, 13);
244  ADD(13, 11);
245  ADD(11, 15);
246 
247  out[ 0] = val0;
248  out[16] = val1;
249  out[ 8] = val2;
250  out[24] = val3;
251  out[ 4] = val4;
252  out[20] = val5;
253  out[12] = val6;
254  out[28] = val7;
255  out[ 2] = val8;
256  out[18] = val9;
257  out[10] = val10;
258  out[26] = val11;
259  out[ 6] = val12;
260  out[22] = val13;
261  out[14] = val14;
262  out[30] = val15;
263 
264  ADD(24, 28);
265  ADD(28, 26);
266  ADD(26, 30);
267  ADD(30, 25);
268  ADD(25, 29);
269  ADD(29, 27);
270  ADD(27, 31);
271 
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;
287  out[31] = val31;
288 }
out
FILE * out
Definition: movenc.c:54
COS1_0
#define COS1_0
Definition: dct32_template.c:70
COS0_12
#define COS0_12
Definition: dct32_template.c:65
COS0_2
#define COS0_2
Definition: dct32_template.c:55
COS1_7
#define COS1_7
Definition: dct32_template.c:77
COS1_6
#define COS1_6
Definition: dct32_template.c:76
COS3_0
#define COS3_0
Definition: dct32_template.c:84
COS1_5
#define COS1_5
Definition: dct32_template.c:75
COS0_10
#define COS0_10
Definition: dct32_template.c:63
COS0_7
#define COS0_7
Definition: dct32_template.c:60
COS1_3
#define COS1_3
Definition: dct32_template.c:73
COS1_1
#define COS1_1
Definition: dct32_template.c:71
ADD
#define ADD(a, b)
Definition: dct32_template.c:123
COS0_4
#define COS0_4
Definition: dct32_template.c:57
mathops.h
dct32.h
COS0_11
#define COS0_11
Definition: dct32_template.c:64
COS0_1
#define COS0_1
Definition: dct32_template.c:54
COS1_2
#define COS1_2
Definition: dct32_template.c:72
tab
static const uint8_t tab[16]
Definition: rka.c:668
BF
#define BF(a, b, c, s)
Definition: dct32_template.c:90
COS0_5
#define COS0_5
Definition: dct32_template.c:58
internal.h
COS3_1
#define COS3_1
Definition: dct32_template.c:85
COS0_13
#define COS0_13
Definition: dct32_template.c:66
COS0_3
#define COS0_3
Definition: dct32_template.c:56
BF1
#define BF1(a, b, c, d)
Definition: dct32_template.c:106
COS0_14
#define COS0_14
Definition: dct32_template.c:67
COS2_0
#define COS2_0
Definition: dct32_template.c:79
BF0
#define BF0(a, b, c, s)
Definition: dct32_template.c:98
COS2_3
#define COS2_3
Definition: dct32_template.c:82
COS0_15
#define COS0_15
Definition: dct32_template.c:68
COS1_4
#define COS1_4
Definition: dct32_template.c:74
dct32
#define dct32
Definition: dct32_template.c:41
COS0_6
#define COS0_6
Definition: dct32_template.c:59
SUINTFLOAT
#define SUINTFLOAT
Definition: dct32_template.c:45
COS2_1
#define COS2_1
Definition: dct32_template.c:80
COS2_2
#define COS2_2
Definition: dct32_template.c:81
COS0_0
#define COS0_0
Definition: dct32_template.c:53
COS0_9
#define COS0_9
Definition: dct32_template.c:62
BF2
#define BF2(a, b, c, d)
Definition: dct32_template.c:113
INTFLOAT
float INTFLOAT
Definition: aac_defines.h:82
COS0_8
#define COS0_8
Definition: dct32_template.c:61