jidctflt.cpp 8.2 KB

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  1. /*
  2. * jidctflt.c
  3. *
  4. * Copyright (C) 1994, Thomas G. Lane.
  5. * This file is part of the Independent JPEG Group's software.
  6. * For conditions of distribution and use, see the accompanying README file.
  7. *
  8. * This file contains a floating-point implementation of the
  9. * inverse DCT (Discrete Cosine Transform). In the IJG code, this routine
  10. * must also perform dequantization of the input coefficients.
  11. *
  12. * This implementation should be more accurate than either of the integer
  13. * IDCT implementations. However, it may not give the same results on all
  14. * machines because of differences in roundoff behavior. Speed will depend
  15. * on the hardware's floating point capacity.
  16. *
  17. * A 2-D IDCT can be done by 1-D IDCT on each column followed by 1-D IDCT
  18. * on each row (or vice versa, but it's more convenient to emit a row at
  19. * a time). Direct algorithms are also available, but they are much more
  20. * complex and seem not to be any faster when reduced to code.
  21. *
  22. * This implementation is based on Arai, Agui, and Nakajima's algorithm for
  23. * scaled DCT. Their original paper (Trans. IEICE E-71(11):1095) is in
  24. * Japanese, but the algorithm is described in the Pennebaker & Mitchell
  25. * JPEG textbook (see REFERENCES section in file README). The following code
  26. * is based directly on figure 4-8 in P&M.
  27. * While an 8-point DCT cannot be done in less than 11 multiplies, it is
  28. * possible to arrange the computation so that many of the multiplies are
  29. * simple scalings of the final outputs. These multiplies can then be
  30. * folded into the multiplications or divisions by the JPEG quantization
  31. * table entries. The AA&N method leaves only 5 multiplies and 29 adds
  32. * to be done in the DCT itself.
  33. * The primary disadvantage of this method is that with a fixed-point
  34. * implementation, accuracy is lost due to imprecise representation of the
  35. * scaled quantization values. However, that problem does not arise if
  36. * we use floating point arithmetic.
  37. */
  38. #define JPEG_INTERNALS
  39. #include "jinclude.h"
  40. #include "jpeglib.h"
  41. #include "jdct.h" /* Private declarations for DCT subsystem */
  42. #ifdef DCT_FLOAT_SUPPORTED
  43. /*
  44. * This module is specialized to the case DCTSIZE = 8.
  45. */
  46. #if DCTSIZE != 8
  47. Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */
  48. #endif
  49. /* Dequantize a coefficient by multiplying it by the multiplier-table
  50. * entry; produce a float result.
  51. */
  52. #define DEQUANTIZE(coef,quantval) (((FAST_FLOAT) (coef)) * (quantval))
  53. /*
  54. * Perform dequantization and inverse DCT on one block of coefficients.
  55. */
  56. GLOBAL void
  57. jpeg_idct_float (j_decompress_ptr cinfo, jpeg_component_info * compptr,
  58. JCOEFPTR coef_block,
  59. JSAMPARRAY output_buf, JDIMENSION output_col)
  60. {
  61. FAST_FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
  62. FAST_FLOAT tmp10, tmp11, tmp12, tmp13;
  63. FAST_FLOAT z5, z10, z11, z12, z13;
  64. JCOEFPTR inptr;
  65. FLOAT_MULT_TYPE * quantptr;
  66. FAST_FLOAT * wsptr;
  67. JSAMPROW outptr;
  68. JSAMPLE *range_limit = IDCT_range_limit(cinfo);
  69. int ctr;
  70. FAST_FLOAT workspace[DCTSIZE2]; /* buffers data between passes */
  71. SHIFT_TEMPS
  72. /* Pass 1: process columns from input, store into work array. */
  73. inptr = coef_block;
  74. quantptr = (FLOAT_MULT_TYPE *) compptr->dct_table;
  75. wsptr = workspace;
  76. for (ctr = DCTSIZE; ctr > 0; ctr--) {
  77. /* Due to quantization, we will usually find that many of the input
  78. * coefficients are zero, especially the AC terms. We can exploit this
  79. * by short-circuiting the IDCT calculation for any column in which all
  80. * the AC terms are zero. In that case each output is equal to the
  81. * DC coefficient (with scale factor as needed).
  82. * With typical images and quantization tables, half or more of the
  83. * column DCT calculations can be simplified this way.
  84. */
  85. if ((inptr[DCTSIZE*1] | inptr[DCTSIZE*2] | inptr[DCTSIZE*3] |
  86. inptr[DCTSIZE*4] | inptr[DCTSIZE*5] | inptr[DCTSIZE*6] |
  87. inptr[DCTSIZE*7]) == 0) {
  88. /* AC terms all zero */
  89. FAST_FLOAT dcval = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  90. wsptr[DCTSIZE*0] = dcval;
  91. wsptr[DCTSIZE*1] = dcval;
  92. wsptr[DCTSIZE*2] = dcval;
  93. wsptr[DCTSIZE*3] = dcval;
  94. wsptr[DCTSIZE*4] = dcval;
  95. wsptr[DCTSIZE*5] = dcval;
  96. wsptr[DCTSIZE*6] = dcval;
  97. wsptr[DCTSIZE*7] = dcval;
  98. inptr++; /* advance pointers to next column */
  99. quantptr++;
  100. wsptr++;
  101. continue;
  102. }
  103. /* Even part */
  104. tmp0 = DEQUANTIZE(inptr[DCTSIZE*0], quantptr[DCTSIZE*0]);
  105. tmp1 = DEQUANTIZE(inptr[DCTSIZE*2], quantptr[DCTSIZE*2]);
  106. tmp2 = DEQUANTIZE(inptr[DCTSIZE*4], quantptr[DCTSIZE*4]);
  107. tmp3 = DEQUANTIZE(inptr[DCTSIZE*6], quantptr[DCTSIZE*6]);
  108. tmp10 = tmp0 + tmp2; /* phase 3 */
  109. tmp11 = tmp0 - tmp2;
  110. tmp13 = tmp1 + tmp3; /* phases 5-3 */
  111. tmp12 = (tmp1 - tmp3) * ((FAST_FLOAT) 1.414213562) - tmp13; /* 2*c4 */
  112. tmp0 = tmp10 + tmp13; /* phase 2 */
  113. tmp3 = tmp10 - tmp13;
  114. tmp1 = tmp11 + tmp12;
  115. tmp2 = tmp11 - tmp12;
  116. /* Odd part */
  117. tmp4 = DEQUANTIZE(inptr[DCTSIZE*1], quantptr[DCTSIZE*1]);
  118. tmp5 = DEQUANTIZE(inptr[DCTSIZE*3], quantptr[DCTSIZE*3]);
  119. tmp6 = DEQUANTIZE(inptr[DCTSIZE*5], quantptr[DCTSIZE*5]);
  120. tmp7 = DEQUANTIZE(inptr[DCTSIZE*7], quantptr[DCTSIZE*7]);
  121. z13 = tmp6 + tmp5; /* phase 6 */
  122. z10 = tmp6 - tmp5;
  123. z11 = tmp4 + tmp7;
  124. z12 = tmp4 - tmp7;
  125. tmp7 = z11 + z13; /* phase 5 */
  126. tmp11 = (z11 - z13) * ((FAST_FLOAT) 1.414213562); /* 2*c4 */
  127. z5 = (z10 + z12) * ((FAST_FLOAT) 1.847759065); /* 2*c2 */
  128. tmp10 = ((FAST_FLOAT) 1.082392200) * z12 - z5; /* 2*(c2-c6) */
  129. tmp12 = ((FAST_FLOAT) -2.613125930) * z10 + z5; /* -2*(c2+c6) */
  130. tmp6 = tmp12 - tmp7; /* phase 2 */
  131. tmp5 = tmp11 - tmp6;
  132. tmp4 = tmp10 + tmp5;
  133. wsptr[DCTSIZE*0] = tmp0 + tmp7;
  134. wsptr[DCTSIZE*7] = tmp0 - tmp7;
  135. wsptr[DCTSIZE*1] = tmp1 + tmp6;
  136. wsptr[DCTSIZE*6] = tmp1 - tmp6;
  137. wsptr[DCTSIZE*2] = tmp2 + tmp5;
  138. wsptr[DCTSIZE*5] = tmp2 - tmp5;
  139. wsptr[DCTSIZE*4] = tmp3 + tmp4;
  140. wsptr[DCTSIZE*3] = tmp3 - tmp4;
  141. inptr++; /* advance pointers to next column */
  142. quantptr++;
  143. wsptr++;
  144. }
  145. /* Pass 2: process rows from work array, store into output array. */
  146. /* Note that we must descale the results by a factor of 8 == 2**3. */
  147. wsptr = workspace;
  148. for (ctr = 0; ctr < DCTSIZE; ctr++) {
  149. outptr = output_buf[ctr] + output_col;
  150. /* Rows of zeroes can be exploited in the same way as we did with columns.
  151. * However, the column calculation has created many nonzero AC terms, so
  152. * the simplification applies less often (typically 5% to 10% of the time).
  153. * And testing floats for zero is relatively expensive, so we don't bother.
  154. */
  155. /* Even part */
  156. tmp10 = wsptr[0] + wsptr[4];
  157. tmp11 = wsptr[0] - wsptr[4];
  158. tmp13 = wsptr[2] + wsptr[6];
  159. tmp12 = (wsptr[2] - wsptr[6]) * ((FAST_FLOAT) 1.414213562) - tmp13;
  160. tmp0 = tmp10 + tmp13;
  161. tmp3 = tmp10 - tmp13;
  162. tmp1 = tmp11 + tmp12;
  163. tmp2 = tmp11 - tmp12;
  164. /* Odd part */
  165. z13 = wsptr[5] + wsptr[3];
  166. z10 = wsptr[5] - wsptr[3];
  167. z11 = wsptr[1] + wsptr[7];
  168. z12 = wsptr[1] - wsptr[7];
  169. tmp7 = z11 + z13;
  170. tmp11 = (z11 - z13) * ((FAST_FLOAT) 1.414213562);
  171. z5 = (z10 + z12) * ((FAST_FLOAT) 1.847759065); /* 2*c2 */
  172. tmp10 = ((FAST_FLOAT) 1.082392200) * z12 - z5; /* 2*(c2-c6) */
  173. tmp12 = ((FAST_FLOAT) -2.613125930) * z10 + z5; /* -2*(c2+c6) */
  174. tmp6 = tmp12 - tmp7;
  175. tmp5 = tmp11 - tmp6;
  176. tmp4 = tmp10 + tmp5;
  177. /* Final output stage: scale down by a factor of 8 and range-limit */
  178. outptr[0] = range_limit[(int) DESCALE((INT32) (tmp0 + tmp7), 3)
  179. & RANGE_MASK];
  180. outptr[7] = range_limit[(int) DESCALE((INT32) (tmp0 - tmp7), 3)
  181. & RANGE_MASK];
  182. outptr[1] = range_limit[(int) DESCALE((INT32) (tmp1 + tmp6), 3)
  183. & RANGE_MASK];
  184. outptr[6] = range_limit[(int) DESCALE((INT32) (tmp1 - tmp6), 3)
  185. & RANGE_MASK];
  186. outptr[2] = range_limit[(int) DESCALE((INT32) (tmp2 + tmp5), 3)
  187. & RANGE_MASK];
  188. outptr[5] = range_limit[(int) DESCALE((INT32) (tmp2 - tmp5), 3)
  189. & RANGE_MASK];
  190. outptr[4] = range_limit[(int) DESCALE((INT32) (tmp3 + tmp4), 3)
  191. & RANGE_MASK];
  192. outptr[3] = range_limit[(int) DESCALE((INT32) (tmp3 - tmp4), 3)
  193. & RANGE_MASK];
  194. wsptr += DCTSIZE; /* advance pointer to next row */
  195. }
  196. }
  197. #endif /* DCT_FLOAT_SUPPORTED */