| /* |
| * jrevdct.c |
| * |
| * Copyright (C) 1991, Thomas G. Lane. |
| * This file is part of the Independent JPEG Group's software. |
| * For conditions of distribution and use, see the accompanying README file. |
| * |
| * This file contains the basic inverse-DCT transformation subroutine. |
| * |
| * This implementation is based on Appendix A.2 of the book |
| * "Discrete Cosine Transform---Algorithms, Advantages, Applications" |
| * by K.R. Rao and P. Yip (Academic Press, Inc, London, 1990). |
| * It uses scaled fixed-point arithmetic instead of floating point. |
| */ |
| |
| #include "jinclude.h" |
| |
| |
| /* The poop on this scaling stuff is as follows: |
| * |
| * Most of the numbers (after multiplication by the constants) are |
| * (logically) shifted left by LG2_DCT_SCALE. This is undone by UNFIXH |
| * before assignment to the output array. Note that we want an additional |
| * division by 2 on the output (required by the equations). |
| * |
| * If right shifts are unsigned, then there is a potential problem. |
| * However, shifting right by 16 and then assigning to a short |
| * (assuming short = 16 bits) will keep the sign right!! |
| * |
| * For other shifts, |
| * |
| * ((x + (1 << 30)) >> shft) - (1 << (30 - shft)) |
| * |
| * gives a nice right shift with sign (assuming no overflow). However, all the |
| * scaling is such that this isn't a problem. (Is this true?) |
| */ |
| |
| |
| #define ONE 1L /* remove L if long > 32 bits */ |
| |
| #ifdef RIGHT_SHIFT_IS_UNSIGNED |
| #define LG2_DCT_SCALE 15 |
| #define RIGHT_SHIFT(_x,_shft) ((((_x) + (ONE << 30)) >> (_shft)) - (ONE << (30 - (_shft)))) |
| #else |
| #define LG2_DCT_SCALE 16 |
| #define RIGHT_SHIFT(_x,_shft) ((_x) >> (_shft)) |
| #endif |
| |
| #define DCT_SCALE (ONE << LG2_DCT_SCALE) |
| |
| #define LG2_OVERSCALE 2 |
| #define OVERSCALE (ONE << LG2_OVERSCALE) |
| |
| #define FIX(x) ((INT32) ((x) * DCT_SCALE + 0.5)) |
| #define FIXO(x) ((INT32) ((x) * DCT_SCALE / OVERSCALE + 0.5)) |
| #define UNFIX(x) RIGHT_SHIFT((x) + (ONE << (LG2_DCT_SCALE-1)), LG2_DCT_SCALE) |
| #define UNFIXH(x) RIGHT_SHIFT((x) + (ONE << LG2_DCT_SCALE), LG2_DCT_SCALE+1) |
| #define UNFIXO(x) RIGHT_SHIFT((x) + (ONE << (LG2_DCT_SCALE-1-LG2_OVERSCALE)), LG2_DCT_SCALE-LG2_OVERSCALE) |
| #define OVERSH(x) ((x) << LG2_OVERSCALE) |
| |
| #define SIN_1_4 FIX(0.7071067811856476) |
| #define COS_1_4 SIN_1_4 |
| |
| #define SIN_1_8 FIX(0.3826834323650898) |
| #define COS_1_8 FIX(0.9238795325112870) |
| #define SIN_3_8 COS_1_8 |
| #define COS_3_8 SIN_1_8 |
| |
| #define SIN_1_16 FIX(0.1950903220161282) |
| #define COS_1_16 FIX(0.9807852804032300) |
| #define SIN_7_16 COS_1_16 |
| #define COS_7_16 SIN_1_16 |
| |
| #define SIN_3_16 FIX(0.5555702330196022) |
| #define COS_3_16 FIX(0.8314696123025450) |
| #define SIN_5_16 COS_3_16 |
| #define COS_5_16 SIN_3_16 |
| |
| #define OSIN_1_4 FIXO(0.707106781185647) |
| #define OCOS_1_4 OSIN_1_4 |
| |
| #define OSIN_1_8 FIXO(0.3826834323650898) |
| #define OCOS_1_8 FIXO(0.9238795325112870) |
| #define OSIN_3_8 OCOS_1_8 |
| #define OCOS_3_8 OSIN_1_8 |
| |
| #define OSIN_1_16 FIXO(0.1950903220161282) |
| #define OCOS_1_16 FIXO(0.9807852804032300) |
| #define OSIN_7_16 OCOS_1_16 |
| #define OCOS_7_16 OSIN_1_16 |
| |
| #define OSIN_3_16 FIXO(0.5555702330196022) |
| #define OCOS_3_16 FIXO(0.8314696123025450) |
| #define OSIN_5_16 OCOS_3_16 |
| #define OCOS_5_16 OSIN_3_16 |
| |
| |
| INLINE |
| LOCAL void |
| fast_idct_8 (DCTELEM *in, int stride) |
| { |
| /* tmp1x are new values of tmpx -- flashy register colourers |
| * should be able to do this lot very well |
| */ |
| INT32 tmp10, tmp11, tmp12, tmp13; |
| INT32 tmp20, tmp21, tmp22, tmp23; |
| INT32 tmp30, tmp31; |
| INT32 tmp40, tmp41, tmp42, tmp43; |
| INT32 tmp50, tmp51, tmp52, tmp53; |
| INT32 in0, in1, in2, in3, in4, in5, in6, in7; |
| |
| in0 = in[ 0]; |
| in1 = in[stride ]; |
| in2 = in[stride*2]; |
| in3 = in[stride*3]; |
| in4 = in[stride*4]; |
| in5 = in[stride*5]; |
| in6 = in[stride*6]; |
| in7 = in[stride*7]; |
| |
| tmp10 = (in0 + in4) * COS_1_4; |
| tmp11 = (in0 - in4) * COS_1_4; |
| tmp12 = in2 * SIN_1_8 - in6 * COS_1_8; |
| tmp13 = in6 * SIN_1_8 + in2 * COS_1_8; |
| |
| tmp20 = tmp10 + tmp13; |
| tmp21 = tmp11 + tmp12; |
| tmp22 = tmp11 - tmp12; |
| tmp23 = tmp10 - tmp13; |
| |
| tmp30 = UNFIXO((in3 + in5) * COS_1_4); |
| tmp31 = UNFIXO((in3 - in5) * COS_1_4); |
| |
| tmp40 = OVERSH(in1) + tmp30; |
| tmp41 = OVERSH(in7) + tmp31; |
| tmp42 = OVERSH(in1) - tmp30; |
| tmp43 = OVERSH(in7) - tmp31; |
| |
| tmp50 = tmp40 * OCOS_1_16 + tmp41 * OSIN_1_16; |
| tmp51 = tmp40 * OSIN_1_16 - tmp41 * OCOS_1_16; |
| tmp52 = tmp42 * OCOS_5_16 + tmp43 * OSIN_5_16; |
| tmp53 = tmp42 * OSIN_5_16 - tmp43 * OCOS_5_16; |
| |
| in[ 0] = UNFIXH(tmp20 + tmp50); |
| in[stride ] = UNFIXH(tmp21 + tmp53); |
| in[stride*2] = UNFIXH(tmp22 + tmp52); |
| in[stride*3] = UNFIXH(tmp23 + tmp51); |
| in[stride*4] = UNFIXH(tmp23 - tmp51); |
| in[stride*5] = UNFIXH(tmp22 - tmp52); |
| in[stride*6] = UNFIXH(tmp21 - tmp53); |
| in[stride*7] = UNFIXH(tmp20 - tmp50); |
| } |
| |
| |
| /* |
| * Perform the inverse DCT on one block of coefficients. |
| * |
| * Note that this code is specialized to the case DCTSIZE = 8. |
| */ |
| |
| GLOBAL void |
| j_rev_dct (DCTBLOCK data) |
| { |
| int i; |
| |
| for (i = 0; i < DCTSIZE; i++) |
| fast_idct_8(data+i*DCTSIZE, 1); |
| |
| for (i = 0; i < DCTSIZE; i++) |
| fast_idct_8(data+i, DCTSIZE); |
| } |