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  1. /*
  2. * Floating point AAN DCT
  3. * Copyright (c) 2003 Michael Niedermayer <michaelni@gmx.at>
  4. *
  5. * This library is free software; you can redistribute it and/or
  6. * modify it under the terms of the GNU Lesser General Public
  7. * License as published by the Free Software Foundation; either
  8. * version 2 of the License, or (at your option) any later version.
  9. *
  10. * This library is distributed in the hope that it will be useful,
  11. * but WITHOUT ANY WARRANTY; without even the implied warranty of
  12. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  13. * Lesser General Public License for more details.
  14. *
  15. * You should have received a copy of the GNU Lesser General Public
  16. * License along with this library; if not, write to the Free Software
  17. * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
  18. *
  19. * this implementation is based upon the IJG integer AAN DCT (see jfdctfst.c)
  20. */
  21. /**
  22. * @file faandct.c
  23. * @brief
  24. * Floating point AAN DCT
  25. * @author Michael Niedermayer <michaelni@gmx.at>
  26. */
  27. #include "dsputil.h"
  28. #include "faandct.h"
  29. #define FLOAT float
  30. #ifdef FAAN_POSTSCALE
  31. # define SCALE(x) postscale[x]
  32. #else
  33. # define SCALE(x) 1
  34. #endif
  35. //numbers generated by simple c code (not as accurate as they could be)
  36. /*
  37. for(i=0; i<8; i++){
  38. printf("#define B%d %1.20llf\n", i, (long double)1.0/(cosl(i*acosl(-1.0)/(long double)16.0)*sqrtl(2)));
  39. }
  40. */
  41. #define B0 1.00000000000000000000
  42. #define B1 0.72095982200694791383 // (cos(pi*1/16)sqrt(2))^-1
  43. #define B2 0.76536686473017954350 // (cos(pi*2/16)sqrt(2))^-1
  44. #define B3 0.85043009476725644878 // (cos(pi*3/16)sqrt(2))^-1
  45. #define B4 1.00000000000000000000 // (cos(pi*4/16)sqrt(2))^-1
  46. #define B5 1.27275858057283393842 // (cos(pi*5/16)sqrt(2))^-1
  47. #define B6 1.84775906502257351242 // (cos(pi*6/16)sqrt(2))^-1
  48. #define B7 3.62450978541155137218 // (cos(pi*7/16)sqrt(2))^-1
  49. #define A1 0.70710678118654752438 // cos(pi*4/16)
  50. #define A2 0.54119610014619698435 // cos(pi*6/16)sqrt(2)
  51. #define A5 0.38268343236508977170 // cos(pi*6/16)
  52. #define A4 1.30656296487637652774 // cos(pi*2/16)sqrt(2)
  53. static FLOAT postscale[64]={
  54. B0*B0, B0*B1, B0*B2, B0*B3, B0*B4, B0*B5, B0*B6, B0*B7,
  55. B1*B0, B1*B1, B1*B2, B1*B3, B1*B4, B1*B5, B1*B6, B1*B7,
  56. B2*B0, B2*B1, B2*B2, B2*B3, B2*B4, B2*B5, B2*B6, B2*B7,
  57. B3*B0, B3*B1, B3*B2, B3*B3, B3*B4, B3*B5, B3*B6, B3*B7,
  58. B4*B0, B4*B1, B4*B2, B4*B3, B4*B4, B4*B5, B4*B6, B4*B7,
  59. B5*B0, B5*B1, B5*B2, B5*B3, B5*B4, B5*B5, B5*B6, B5*B7,
  60. B6*B0, B6*B1, B6*B2, B6*B3, B6*B4, B6*B5, B6*B6, B6*B7,
  61. B7*B0, B7*B1, B7*B2, B7*B3, B7*B4, B7*B5, B7*B6, B7*B7,
  62. };
  63. static always_inline void row_fdct(FLOAT temp[64], DCTELEM * data)
  64. {
  65. FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  66. FLOAT tmp10, tmp11, tmp12, tmp13;
  67. FLOAT z1, z2, z3, z4, z5, z11, z13;
  68. int i;
  69. for (i=0; i<8*8; i+=8) {
  70. tmp0= data[0 + i] + data[7 + i];
  71. tmp7= data[0 + i] - data[7 + i];
  72. tmp1= data[1 + i] + data[6 + i];
  73. tmp6= data[1 + i] - data[6 + i];
  74. tmp2= data[2 + i] + data[5 + i];
  75. tmp5= data[2 + i] - data[5 + i];
  76. tmp3= data[3 + i] + data[4 + i];
  77. tmp4= data[3 + i] - data[4 + i];
  78. tmp10= tmp0 + tmp3;
  79. tmp13= tmp0 - tmp3;
  80. tmp11= tmp1 + tmp2;
  81. tmp12= tmp1 - tmp2;
  82. temp[0 + i]= tmp10 + tmp11;
  83. temp[4 + i]= tmp10 - tmp11;
  84. z1= (tmp12 + tmp13)*A1;
  85. temp[2 + i]= tmp13 + z1;
  86. temp[6 + i]= tmp13 - z1;
  87. tmp10= tmp4 + tmp5;
  88. tmp11= tmp5 + tmp6;
  89. tmp12= tmp6 + tmp7;
  90. z5= (tmp10 - tmp12) * A5;
  91. z2= tmp10*A2 + z5;
  92. z4= tmp12*A4 + z5;
  93. z3= tmp11*A1;
  94. z11= tmp7 + z3;
  95. z13= tmp7 - z3;
  96. temp[5 + i]= z13 + z2;
  97. temp[3 + i]= z13 - z2;
  98. temp[1 + i]= z11 + z4;
  99. temp[7 + i]= z11 - z4;
  100. }
  101. }
  102. void ff_faandct(DCTELEM * data)
  103. {
  104. FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  105. FLOAT tmp10, tmp11, tmp12, tmp13;
  106. FLOAT z1, z2, z3, z4, z5, z11, z13;
  107. FLOAT temp[64];
  108. int i;
  109. emms_c();
  110. row_fdct(temp, data);
  111. for (i=0; i<8; i++) {
  112. tmp0= temp[8*0 + i] + temp[8*7 + i];
  113. tmp7= temp[8*0 + i] - temp[8*7 + i];
  114. tmp1= temp[8*1 + i] + temp[8*6 + i];
  115. tmp6= temp[8*1 + i] - temp[8*6 + i];
  116. tmp2= temp[8*2 + i] + temp[8*5 + i];
  117. tmp5= temp[8*2 + i] - temp[8*5 + i];
  118. tmp3= temp[8*3 + i] + temp[8*4 + i];
  119. tmp4= temp[8*3 + i] - temp[8*4 + i];
  120. tmp10= tmp0 + tmp3;
  121. tmp13= tmp0 - tmp3;
  122. tmp11= tmp1 + tmp2;
  123. tmp12= tmp1 - tmp2;
  124. data[8*0 + i]= lrintf(SCALE(8*0 + i) * (tmp10 + tmp11));
  125. data[8*4 + i]= lrintf(SCALE(8*4 + i) * (tmp10 - tmp11));
  126. z1= (tmp12 + tmp13)* A1;
  127. data[8*2 + i]= lrintf(SCALE(8*2 + i) * (tmp13 + z1));
  128. data[8*6 + i]= lrintf(SCALE(8*6 + i) * (tmp13 - z1));
  129. tmp10= tmp4 + tmp5;
  130. tmp11= tmp5 + tmp6;
  131. tmp12= tmp6 + tmp7;
  132. z5= (tmp10 - tmp12) * A5;
  133. z2= tmp10*A2 + z5;
  134. z4= tmp12*A4 + z5;
  135. z3= tmp11*A1;
  136. z11= tmp7 + z3;
  137. z13= tmp7 - z3;
  138. data[8*5 + i]= lrintf(SCALE(8*5 + i) * (z13 + z2));
  139. data[8*3 + i]= lrintf(SCALE(8*3 + i) * (z13 - z2));
  140. data[8*1 + i]= lrintf(SCALE(8*1 + i) * (z11 + z4));
  141. data[8*7 + i]= lrintf(SCALE(8*7 + i) * (z11 - z4));
  142. }
  143. }
  144. void ff_faandct248(DCTELEM * data)
  145. {
  146. FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  147. FLOAT tmp10, tmp11, tmp12, tmp13;
  148. FLOAT z1;
  149. FLOAT temp[64];
  150. int i;
  151. emms_c();
  152. row_fdct(temp, data);
  153. for (i=0; i<8; i++) {
  154. tmp0 = temp[8*0 + i] + temp[8*1 + i];
  155. tmp1 = temp[8*2 + i] + temp[8*3 + i];
  156. tmp2 = temp[8*4 + i] + temp[8*5 + i];
  157. tmp3 = temp[8*6 + i] + temp[8*7 + i];
  158. tmp4 = temp[8*0 + i] - temp[8*1 + i];
  159. tmp5 = temp[8*2 + i] - temp[8*3 + i];
  160. tmp6 = temp[8*4 + i] - temp[8*5 + i];
  161. tmp7 = temp[8*6 + i] - temp[8*7 + i];
  162. tmp10 = tmp0 + tmp3;
  163. tmp11 = tmp1 + tmp2;
  164. tmp12 = tmp1 - tmp2;
  165. tmp13 = tmp0 - tmp3;
  166. data[8*0 + i] = lrintf(SCALE(8*0 + i) * (tmp10 + tmp11));
  167. data[8*4 + i] = lrintf(SCALE(8*4 + i) * (tmp10 - tmp11));
  168. z1 = (tmp12 + tmp13)* A1;
  169. data[8*2 + i] = lrintf(SCALE(8*2 + i) * (tmp13 + z1));
  170. data[8*6 + i] = lrintf(SCALE(8*6 + i) * (tmp13 - z1));
  171. tmp10 = tmp4 + tmp7;
  172. tmp11 = tmp5 + tmp6;
  173. tmp12 = tmp5 - tmp6;
  174. tmp13 = tmp4 - tmp7;
  175. data[8*1 + i] = lrintf(SCALE(8*0 + i) * (tmp10 + tmp11));
  176. data[8*5 + i] = lrintf(SCALE(8*4 + i) * (tmp10 - tmp11));
  177. z1 = (tmp12 + tmp13)* A1;
  178. data[8*3 + i] = lrintf(SCALE(8*2 + i) * (tmp13 + z1));
  179. data[8*7 + i] = lrintf(SCALE(8*6 + i) * (tmp13 - z1));
  180. }
  181. }