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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.  
  22. #include "dct32.h"
  23. #include "mathops.h"
  24.  
  25. #if DCT32_FLOAT
  26. #   define dct32 ff_dct32_float
  27. #   define FIXHR(x)       ((float)(x))
  28. #   define MULH3(x, y, s) ((s)*(y)*(x))
  29. #   define INTFLOAT float
  30. #else
  31. #   define dct32 ff_dct32_fixed
  32. #   define FIXHR(a)       ((int)((a) * (1LL<<32) + 0.5))
  33. #   define MULH3(x, y, s) MULH((s)*(x), y)
  34. #   define INTFLOAT int
  35. #endif
  36.  
  37.  
  38. /* tab[i][j] = 1.0 / (2.0 * cos(pi*(2*k+1) / 2^(6 - j))) */
  39.  
  40. /* cos(i*pi/64) */
  41.  
  42. #define COS0_0  FIXHR(0.50060299823519630134/2)
  43. #define COS0_1  FIXHR(0.50547095989754365998/2)
  44. #define COS0_2  FIXHR(0.51544730992262454697/2)
  45. #define COS0_3  FIXHR(0.53104259108978417447/2)
  46. #define COS0_4  FIXHR(0.55310389603444452782/2)
  47. #define COS0_5  FIXHR(0.58293496820613387367/2)
  48. #define COS0_6  FIXHR(0.62250412303566481615/2)
  49. #define COS0_7  FIXHR(0.67480834145500574602/2)
  50. #define COS0_8  FIXHR(0.74453627100229844977/2)
  51. #define COS0_9  FIXHR(0.83934964541552703873/2)
  52. #define COS0_10 FIXHR(0.97256823786196069369/2)
  53. #define COS0_11 FIXHR(1.16943993343288495515/4)
  54. #define COS0_12 FIXHR(1.48416461631416627724/4)
  55. #define COS0_13 FIXHR(2.05778100995341155085/8)
  56. #define COS0_14 FIXHR(3.40760841846871878570/8)
  57. #define COS0_15 FIXHR(10.19000812354805681150/32)
  58.  
  59. #define COS1_0 FIXHR(0.50241928618815570551/2)
  60. #define COS1_1 FIXHR(0.52249861493968888062/2)
  61. #define COS1_2 FIXHR(0.56694403481635770368/2)
  62. #define COS1_3 FIXHR(0.64682178335999012954/2)
  63. #define COS1_4 FIXHR(0.78815462345125022473/2)
  64. #define COS1_5 FIXHR(1.06067768599034747134/4)
  65. #define COS1_6 FIXHR(1.72244709823833392782/4)
  66. #define COS1_7 FIXHR(5.10114861868916385802/16)
  67.  
  68. #define COS2_0 FIXHR(0.50979557910415916894/2)
  69. #define COS2_1 FIXHR(0.60134488693504528054/2)
  70. #define COS2_2 FIXHR(0.89997622313641570463/2)
  71. #define COS2_3 FIXHR(2.56291544774150617881/8)
  72.  
  73. #define COS3_0 FIXHR(0.54119610014619698439/2)
  74. #define COS3_1 FIXHR(1.30656296487637652785/4)
  75.  
  76. #define COS4_0 FIXHR(0.70710678118654752439/2)
  77.  
  78. /* butterfly operator */
  79. #define BF(a, b, c, s)\
  80. {\
  81.     tmp0 = val##a + val##b;\
  82.     tmp1 = val##a - val##b;\
  83.     val##a = tmp0;\
  84.     val##b = MULH3(tmp1, c, 1<<(s));\
  85. }
  86.  
  87. #define BF0(a, b, c, s)\
  88. {\
  89.     tmp0 = tab[a] + tab[b];\
  90.     tmp1 = tab[a] - tab[b];\
  91.     val##a = tmp0;\
  92.     val##b = MULH3(tmp1, c, 1<<(s));\
  93. }
  94.  
  95. #define BF1(a, b, c, d)\
  96. {\
  97.     BF(a, b, COS4_0, 1);\
  98.     BF(c, d,-COS4_0, 1);\
  99.     val##c += val##d;\
  100. }
  101.  
  102. #define BF2(a, b, c, d)\
  103. {\
  104.     BF(a, b, COS4_0, 1);\
  105.     BF(c, d,-COS4_0, 1);\
  106.     val##c += val##d;\
  107.     val##a += val##c;\
  108.     val##c += val##b;\
  109.     val##b += val##d;\
  110. }
  111.  
  112. #define ADD(a, b) val##a += val##b
  113.  
  114. /* DCT32 without 1/sqrt(2) coef zero scaling. */
  115. void dct32(INTFLOAT *out, const INTFLOAT *tab)
  116. {
  117.     INTFLOAT tmp0, tmp1;
  118.  
  119.     INTFLOAT val0 , val1 , val2 , val3 , val4 , val5 , val6 , val7 ,
  120.              val8 , val9 , val10, val11, val12, val13, val14, val15,
  121.              val16, val17, val18, val19, val20, val21, val22, val23,
  122.              val24, val25, val26, val27, val28, val29, val30, val31;
  123.  
  124.     /* pass 1 */
  125.     BF0( 0, 31, COS0_0 , 1);
  126.     BF0(15, 16, COS0_15, 5);
  127.     /* pass 2 */
  128.     BF( 0, 15, COS1_0 , 1);
  129.     BF(16, 31,-COS1_0 , 1);
  130.     /* pass 1 */
  131.     BF0( 7, 24, COS0_7 , 1);
  132.     BF0( 8, 23, COS0_8 , 1);
  133.     /* pass 2 */
  134.     BF( 7,  8, COS1_7 , 4);
  135.     BF(23, 24,-COS1_7 , 4);
  136.     /* pass 3 */
  137.     BF( 0,  7, COS2_0 , 1);
  138.     BF( 8, 15,-COS2_0 , 1);
  139.     BF(16, 23, COS2_0 , 1);
  140.     BF(24, 31,-COS2_0 , 1);
  141.     /* pass 1 */
  142.     BF0( 3, 28, COS0_3 , 1);
  143.     BF0(12, 19, COS0_12, 2);
  144.     /* pass 2 */
  145.     BF( 3, 12, COS1_3 , 1);
  146.     BF(19, 28,-COS1_3 , 1);
  147.     /* pass 1 */
  148.     BF0( 4, 27, COS0_4 , 1);
  149.     BF0(11, 20, COS0_11, 2);
  150.     /* pass 2 */
  151.     BF( 4, 11, COS1_4 , 1);
  152.     BF(20, 27,-COS1_4 , 1);
  153.     /* pass 3 */
  154.     BF( 3,  4, COS2_3 , 3);
  155.     BF(11, 12,-COS2_3 , 3);
  156.     BF(19, 20, COS2_3 , 3);
  157.     BF(27, 28,-COS2_3 , 3);
  158.     /* pass 4 */
  159.     BF( 0,  3, COS3_0 , 1);
  160.     BF( 4,  7,-COS3_0 , 1);
  161.     BF( 8, 11, COS3_0 , 1);
  162.     BF(12, 15,-COS3_0 , 1);
  163.     BF(16, 19, COS3_0 , 1);
  164.     BF(20, 23,-COS3_0 , 1);
  165.     BF(24, 27, COS3_0 , 1);
  166.     BF(28, 31,-COS3_0 , 1);
  167.  
  168.  
  169.  
  170.     /* pass 1 */
  171.     BF0( 1, 30, COS0_1 , 1);
  172.     BF0(14, 17, COS0_14, 3);
  173.     /* pass 2 */
  174.     BF( 1, 14, COS1_1 , 1);
  175.     BF(17, 30,-COS1_1 , 1);
  176.     /* pass 1 */
  177.     BF0( 6, 25, COS0_6 , 1);
  178.     BF0( 9, 22, COS0_9 , 1);
  179.     /* pass 2 */
  180.     BF( 6,  9, COS1_6 , 2);
  181.     BF(22, 25,-COS1_6 , 2);
  182.     /* pass 3 */
  183.     BF( 1,  6, COS2_1 , 1);
  184.     BF( 9, 14,-COS2_1 , 1);
  185.     BF(17, 22, COS2_1 , 1);
  186.     BF(25, 30,-COS2_1 , 1);
  187.  
  188.     /* pass 1 */
  189.     BF0( 2, 29, COS0_2 , 1);
  190.     BF0(13, 18, COS0_13, 3);
  191.     /* pass 2 */
  192.     BF( 2, 13, COS1_2 , 1);
  193.     BF(18, 29,-COS1_2 , 1);
  194.     /* pass 1 */
  195.     BF0( 5, 26, COS0_5 , 1);
  196.     BF0(10, 21, COS0_10, 1);
  197.     /* pass 2 */
  198.     BF( 5, 10, COS1_5 , 2);
  199.     BF(21, 26,-COS1_5 , 2);
  200.     /* pass 3 */
  201.     BF( 2,  5, COS2_2 , 1);
  202.     BF(10, 13,-COS2_2 , 1);
  203.     BF(18, 21, COS2_2 , 1);
  204.     BF(26, 29,-COS2_2 , 1);
  205.     /* pass 4 */
  206.     BF( 1,  2, COS3_1 , 2);
  207.     BF( 5,  6,-COS3_1 , 2);
  208.     BF( 9, 10, COS3_1 , 2);
  209.     BF(13, 14,-COS3_1 , 2);
  210.     BF(17, 18, COS3_1 , 2);
  211.     BF(21, 22,-COS3_1 , 2);
  212.     BF(25, 26, COS3_1 , 2);
  213.     BF(29, 30,-COS3_1 , 2);
  214.  
  215.     /* pass 5 */
  216.     BF1( 0,  1,  2,  3);
  217.     BF2( 4,  5,  6,  7);
  218.     BF1( 8,  9, 10, 11);
  219.     BF2(12, 13, 14, 15);
  220.     BF1(16, 17, 18, 19);
  221.     BF2(20, 21, 22, 23);
  222.     BF1(24, 25, 26, 27);
  223.     BF2(28, 29, 30, 31);
  224.  
  225.     /* pass 6 */
  226.  
  227.     ADD( 8, 12);
  228.     ADD(12, 10);
  229.     ADD(10, 14);
  230.     ADD(14,  9);
  231.     ADD( 9, 13);
  232.     ADD(13, 11);
  233.     ADD(11, 15);
  234.  
  235.     out[ 0] = val0;
  236.     out[16] = val1;
  237.     out[ 8] = val2;
  238.     out[24] = val3;
  239.     out[ 4] = val4;
  240.     out[20] = val5;
  241.     out[12] = val6;
  242.     out[28] = val7;
  243.     out[ 2] = val8;
  244.     out[18] = val9;
  245.     out[10] = val10;
  246.     out[26] = val11;
  247.     out[ 6] = val12;
  248.     out[22] = val13;
  249.     out[14] = val14;
  250.     out[30] = val15;
  251.  
  252.     ADD(24, 28);
  253.     ADD(28, 26);
  254.     ADD(26, 30);
  255.     ADD(30, 25);
  256.     ADD(25, 29);
  257.     ADD(29, 27);
  258.     ADD(27, 31);
  259.  
  260.     out[ 1] = val16 + val24;
  261.     out[17] = val17 + val25;
  262.     out[ 9] = val18 + val26;
  263.     out[25] = val19 + val27;
  264.     out[ 5] = val20 + val28;
  265.     out[21] = val21 + val29;
  266.     out[13] = val22 + val30;
  267.     out[29] = val23 + val31;
  268.     out[ 3] = val24 + val20;
  269.     out[19] = val25 + val21;
  270.     out[11] = val26 + val22;
  271.     out[27] = val27 + val23;
  272.     out[ 7] = val28 + val18;
  273.     out[23] = val29 + val19;
  274.     out[15] = val30 + val17;
  275.     out[31] = val31;
  276. }
  277.