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dct32_template.c 7.3 KB

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  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. #include "dct32.h"
  22. #include "mathops.h"
  23. #include "libavutil/internal.h"
  24. #ifdef CHECKED
  25. #define SUINT int
  26. #define SUINT32 int32_t
  27. #else
  28. #define SUINT unsigned
  29. #define SUINT32 uint32_t
  30. #endif
  31. #if DCT32_FLOAT
  32. # define dct32 ff_dct32_float
  33. # define FIXHR(x) ((float)(x))
  34. # define MULH3(x, y, s) ((s)*(y)*(x))
  35. # define INTFLOAT float
  36. # define SUINTFLOAT float
  37. #else
  38. # define dct32 ff_dct32_fixed
  39. # define FIXHR(a) ((int)((a) * (1LL<<32) + 0.5))
  40. # define MULH3(x, y, s) MULH((s)*(x), y)
  41. # define INTFLOAT int
  42. # define SUINTFLOAT SUINT
  43. #endif
  44. /* tab[i][j] = 1.0 / (2.0 * cos(pi*(2*k+1) / 2^(6 - j))) */
  45. /* cos(i*pi/64) */
  46. #define COS0_0 FIXHR(0.50060299823519630134/2)
  47. #define COS0_1 FIXHR(0.50547095989754365998/2)
  48. #define COS0_2 FIXHR(0.51544730992262454697/2)
  49. #define COS0_3 FIXHR(0.53104259108978417447/2)
  50. #define COS0_4 FIXHR(0.55310389603444452782/2)
  51. #define COS0_5 FIXHR(0.58293496820613387367/2)
  52. #define COS0_6 FIXHR(0.62250412303566481615/2)
  53. #define COS0_7 FIXHR(0.67480834145500574602/2)
  54. #define COS0_8 FIXHR(0.74453627100229844977/2)
  55. #define COS0_9 FIXHR(0.83934964541552703873/2)
  56. #define COS0_10 FIXHR(0.97256823786196069369/2)
  57. #define COS0_11 FIXHR(1.16943993343288495515/4)
  58. #define COS0_12 FIXHR(1.48416461631416627724/4)
  59. #define COS0_13 FIXHR(2.05778100995341155085/8)
  60. #define COS0_14 FIXHR(3.40760841846871878570/8)
  61. #define COS0_15 FIXHR(10.19000812354805681150/32)
  62. #define COS1_0 FIXHR(0.50241928618815570551/2)
  63. #define COS1_1 FIXHR(0.52249861493968888062/2)
  64. #define COS1_2 FIXHR(0.56694403481635770368/2)
  65. #define COS1_3 FIXHR(0.64682178335999012954/2)
  66. #define COS1_4 FIXHR(0.78815462345125022473/2)
  67. #define COS1_5 FIXHR(1.06067768599034747134/4)
  68. #define COS1_6 FIXHR(1.72244709823833392782/4)
  69. #define COS1_7 FIXHR(5.10114861868916385802/16)
  70. #define COS2_0 FIXHR(0.50979557910415916894/2)
  71. #define COS2_1 FIXHR(0.60134488693504528054/2)
  72. #define COS2_2 FIXHR(0.89997622313641570463/2)
  73. #define COS2_3 FIXHR(2.56291544774150617881/8)
  74. #define COS3_0 FIXHR(0.54119610014619698439/2)
  75. #define COS3_1 FIXHR(1.30656296487637652785/4)
  76. #define COS4_0 FIXHR(M_SQRT1_2/2)
  77. /* butterfly operator */
  78. #define BF(a, b, c, s)\
  79. {\
  80. tmp0 = val##a + val##b;\
  81. tmp1 = val##a - val##b;\
  82. val##a = tmp0;\
  83. val##b = MULH3(tmp1, c, 1<<(s));\
  84. }
  85. #define BF0(a, b, c, s)\
  86. {\
  87. tmp0 = tab[a] + tab[b];\
  88. tmp1 = tab[a] - tab[b];\
  89. val##a = tmp0;\
  90. val##b = MULH3(tmp1, c, 1<<(s));\
  91. }
  92. #define BF1(a, b, c, d)\
  93. {\
  94. BF(a, b, COS4_0, 1);\
  95. BF(c, d,-COS4_0, 1);\
  96. val##c += val##d;\
  97. }
  98. #define BF2(a, b, c, d)\
  99. {\
  100. BF(a, b, COS4_0, 1);\
  101. BF(c, d,-COS4_0, 1);\
  102. val##c += val##d;\
  103. val##a += val##c;\
  104. val##c += val##b;\
  105. val##b += val##d;\
  106. }
  107. #define ADD(a, b) val##a += val##b
  108. /* DCT32 without 1/sqrt(2) coef zero scaling. */
  109. void dct32(INTFLOAT *out, const INTFLOAT *tab_arg)
  110. {
  111. const SUINTFLOAT *tab = tab_arg;
  112. SUINTFLOAT tmp0, tmp1;
  113. SUINTFLOAT val0 , val1 , val2 , val3 , val4 , val5 , val6 , val7 ,
  114. val8 , val9 , val10, val11, val12, val13, val14, val15,
  115. val16, val17, val18, val19, val20, val21, val22, val23,
  116. val24, val25, val26, val27, val28, val29, val30, val31;
  117. /* pass 1 */
  118. BF0( 0, 31, COS0_0 , 1);
  119. BF0(15, 16, COS0_15, 5);
  120. /* pass 2 */
  121. BF( 0, 15, COS1_0 , 1);
  122. BF(16, 31,-COS1_0 , 1);
  123. /* pass 1 */
  124. BF0( 7, 24, COS0_7 , 1);
  125. BF0( 8, 23, COS0_8 , 1);
  126. /* pass 2 */
  127. BF( 7, 8, COS1_7 , 4);
  128. BF(23, 24,-COS1_7 , 4);
  129. /* pass 3 */
  130. BF( 0, 7, COS2_0 , 1);
  131. BF( 8, 15,-COS2_0 , 1);
  132. BF(16, 23, COS2_0 , 1);
  133. BF(24, 31,-COS2_0 , 1);
  134. /* pass 1 */
  135. BF0( 3, 28, COS0_3 , 1);
  136. BF0(12, 19, COS0_12, 2);
  137. /* pass 2 */
  138. BF( 3, 12, COS1_3 , 1);
  139. BF(19, 28,-COS1_3 , 1);
  140. /* pass 1 */
  141. BF0( 4, 27, COS0_4 , 1);
  142. BF0(11, 20, COS0_11, 2);
  143. /* pass 2 */
  144. BF( 4, 11, COS1_4 , 1);
  145. BF(20, 27,-COS1_4 , 1);
  146. /* pass 3 */
  147. BF( 3, 4, COS2_3 , 3);
  148. BF(11, 12,-COS2_3 , 3);
  149. BF(19, 20, COS2_3 , 3);
  150. BF(27, 28,-COS2_3 , 3);
  151. /* pass 4 */
  152. BF( 0, 3, COS3_0 , 1);
  153. BF( 4, 7,-COS3_0 , 1);
  154. BF( 8, 11, COS3_0 , 1);
  155. BF(12, 15,-COS3_0 , 1);
  156. BF(16, 19, COS3_0 , 1);
  157. BF(20, 23,-COS3_0 , 1);
  158. BF(24, 27, COS3_0 , 1);
  159. BF(28, 31,-COS3_0 , 1);
  160. /* pass 1 */
  161. BF0( 1, 30, COS0_1 , 1);
  162. BF0(14, 17, COS0_14, 3);
  163. /* pass 2 */
  164. BF( 1, 14, COS1_1 , 1);
  165. BF(17, 30,-COS1_1 , 1);
  166. /* pass 1 */
  167. BF0( 6, 25, COS0_6 , 1);
  168. BF0( 9, 22, COS0_9 , 1);
  169. /* pass 2 */
  170. BF( 6, 9, COS1_6 , 2);
  171. BF(22, 25,-COS1_6 , 2);
  172. /* pass 3 */
  173. BF( 1, 6, COS2_1 , 1);
  174. BF( 9, 14,-COS2_1 , 1);
  175. BF(17, 22, COS2_1 , 1);
  176. BF(25, 30,-COS2_1 , 1);
  177. /* pass 1 */
  178. BF0( 2, 29, COS0_2 , 1);
  179. BF0(13, 18, COS0_13, 3);
  180. /* pass 2 */
  181. BF( 2, 13, COS1_2 , 1);
  182. BF(18, 29,-COS1_2 , 1);
  183. /* pass 1 */
  184. BF0( 5, 26, COS0_5 , 1);
  185. BF0(10, 21, COS0_10, 1);
  186. /* pass 2 */
  187. BF( 5, 10, COS1_5 , 2);
  188. BF(21, 26,-COS1_5 , 2);
  189. /* pass 3 */
  190. BF( 2, 5, COS2_2 , 1);
  191. BF(10, 13,-COS2_2 , 1);
  192. BF(18, 21, COS2_2 , 1);
  193. BF(26, 29,-COS2_2 , 1);
  194. /* pass 4 */
  195. BF( 1, 2, COS3_1 , 2);
  196. BF( 5, 6,-COS3_1 , 2);
  197. BF( 9, 10, COS3_1 , 2);
  198. BF(13, 14,-COS3_1 , 2);
  199. BF(17, 18, COS3_1 , 2);
  200. BF(21, 22,-COS3_1 , 2);
  201. BF(25, 26, COS3_1 , 2);
  202. BF(29, 30,-COS3_1 , 2);
  203. /* pass 5 */
  204. BF1( 0, 1, 2, 3);
  205. BF2( 4, 5, 6, 7);
  206. BF1( 8, 9, 10, 11);
  207. BF2(12, 13, 14, 15);
  208. BF1(16, 17, 18, 19);
  209. BF2(20, 21, 22, 23);
  210. BF1(24, 25, 26, 27);
  211. BF2(28, 29, 30, 31);
  212. /* pass 6 */
  213. ADD( 8, 12);
  214. ADD(12, 10);
  215. ADD(10, 14);
  216. ADD(14, 9);
  217. ADD( 9, 13);
  218. ADD(13, 11);
  219. ADD(11, 15);
  220. out[ 0] = val0;
  221. out[16] = val1;
  222. out[ 8] = val2;
  223. out[24] = val3;
  224. out[ 4] = val4;
  225. out[20] = val5;
  226. out[12] = val6;
  227. out[28] = val7;
  228. out[ 2] = val8;
  229. out[18] = val9;
  230. out[10] = val10;
  231. out[26] = val11;
  232. out[ 6] = val12;
  233. out[22] = val13;
  234. out[14] = val14;
  235. out[30] = val15;
  236. ADD(24, 28);
  237. ADD(28, 26);
  238. ADD(26, 30);
  239. ADD(30, 25);
  240. ADD(25, 29);
  241. ADD(29, 27);
  242. ADD(27, 31);
  243. out[ 1] = val16 + val24;
  244. out[17] = val17 + val25;
  245. out[ 9] = val18 + val26;
  246. out[25] = val19 + val27;
  247. out[ 5] = val20 + val28;
  248. out[21] = val21 + val29;
  249. out[13] = val22 + val30;
  250. out[29] = val23 + val31;
  251. out[ 3] = val24 + val20;
  252. out[19] = val25 + val21;
  253. out[11] = val26 + val22;
  254. out[27] = val27 + val23;
  255. out[ 7] = val28 + val18;
  256. out[23] = val29 + val19;
  257. out[15] = val30 + val17;
  258. out[31] = val31;
  259. }