| /* | |
| * reserved comment block | |
| * DO NOT REMOVE OR ALTER! | |
| */ | |
| /* | |
| * jfdctflt.c | |
| * | |
| * Copyright (C) 1994-1996, 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 a floating-point implementation of the | |
| * forward DCT (Discrete Cosine Transform). | |
| * | |
| * This implementation should be more accurate than either of the integer | |
| * DCT implementations. However, it may not give the same results on all | |
| * machines because of differences in roundoff behavior. Speed will depend | |
| * on the hardware's floating point capacity. | |
| * | |
| * A 2-D DCT can be done by 1-D DCT on each row followed by 1-D DCT | |
| * on each column. Direct algorithms are also available, but they are | |
| * much more complex and seem not to be any faster when reduced to code. | |
| * | |
| * This implementation is based on Arai, Agui, and Nakajima's algorithm for | |
| * scaled DCT. Their original paper (Trans. IEICE E-71(11):1095) is in | |
| * Japanese, but the algorithm is described in the Pennebaker & Mitchell | |
| * JPEG textbook (see REFERENCES section in file README). The following code | |
| * is based directly on figure 4-8 in P&M. | |
| * While an 8-point DCT cannot be done in less than 11 multiplies, it is | |
| * possible to arrange the computation so that many of the multiplies are | |
| * simple scalings of the final outputs. These multiplies can then be | |
| * folded into the multiplications or divisions by the JPEG quantization | |
| * table entries. The AA&N method leaves only 5 multiplies and 29 adds | |
| * to be done in the DCT itself. | |
| * The primary disadvantage of this method is that with a fixed-point | |
| * implementation, accuracy is lost due to imprecise representation of the | |
| * scaled quantization values. However, that problem does not arise if | |
| * we use floating point arithmetic. | |
| */ | |
| #define JPEG_INTERNALS | |
| #include "jinclude.h" | |
| #include "jpeglib.h" | |
| #include "jdct.h" /* Private declarations for DCT subsystem */ | |
| #ifdef DCT_FLOAT_SUPPORTED | |
| /* | |
| * This module is specialized to the case DCTSIZE = 8. | |
| */ | |
| #if DCTSIZE != 8 | |
| Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */ | |
| #endif | |
| /* | |
| * Perform the forward DCT on one block of samples. | |
| */ | |
| GLOBAL(void) | |
| jpeg_fdct_float (FAST_FLOAT * data) | |
| { | |
| FAST_FLOAT tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7; | |
| FAST_FLOAT tmp10, tmp11, tmp12, tmp13; | |
| FAST_FLOAT z1, z2, z3, z4, z5, z11, z13; | |
| FAST_FLOAT *dataptr; | |
| int ctr; | |
| /* Pass 1: process rows. */ | |
| dataptr = data; | |
| for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { | |
| tmp0 = dataptr[0] + dataptr[7]; | |
| tmp7 = dataptr[0] - dataptr[7]; | |
| tmp1 = dataptr[1] + dataptr[6]; | |
| tmp6 = dataptr[1] - dataptr[6]; | |
| tmp2 = dataptr[2] + dataptr[5]; | |
| tmp5 = dataptr[2] - dataptr[5]; | |
| tmp3 = dataptr[3] + dataptr[4]; | |
| tmp4 = dataptr[3] - dataptr[4]; | |
| /* Even part */ | |
| tmp10 = tmp0 + tmp3; /* phase 2 */ | |
| tmp13 = tmp0 - tmp3; | |
| tmp11 = tmp1 + tmp2; | |
| tmp12 = tmp1 - tmp2; | |
| dataptr[0] = tmp10 + tmp11; /* phase 3 */ | |
| dataptr[4] = tmp10 - tmp11; | |
| z1 = (tmp12 + tmp13) * ((FAST_FLOAT) 0.707106781); /* c4 */ | |
| dataptr[2] = tmp13 + z1; /* phase 5 */ | |
| dataptr[6] = tmp13 - z1; | |
| /* Odd part */ | |
| tmp10 = tmp4 + tmp5; /* phase 2 */ | |
| tmp11 = tmp5 + tmp6; | |
| tmp12 = tmp6 + tmp7; | |
| /* The rotator is modified from fig 4-8 to avoid extra negations. */ | |
| z5 = (tmp10 - tmp12) * ((FAST_FLOAT) 0.382683433); /* c6 */ | |
| z2 = ((FAST_FLOAT) 0.541196100) * tmp10 + z5; /* c2-c6 */ | |
| z4 = ((FAST_FLOAT) 1.306562965) * tmp12 + z5; /* c2+c6 */ | |
| z3 = tmp11 * ((FAST_FLOAT) 0.707106781); /* c4 */ | |
| z11 = tmp7 + z3; /* phase 5 */ | |
| z13 = tmp7 - z3; | |
| dataptr[5] = z13 + z2; /* phase 6 */ | |
| dataptr[3] = z13 - z2; | |
| dataptr[1] = z11 + z4; | |
| dataptr[7] = z11 - z4; | |
| dataptr += DCTSIZE; /* advance pointer to next row */ | |
| } | |
| /* Pass 2: process columns. */ | |
| dataptr = data; | |
| for (ctr = DCTSIZE-1; ctr >= 0; ctr--) { | |
| tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7]; | |
| tmp7 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7]; | |
| tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6]; | |
| tmp6 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6]; | |
| tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5]; | |
| tmp5 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5]; | |
| tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4]; | |
| tmp4 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4]; | |
| /* Even part */ | |
| tmp10 = tmp0 + tmp3; /* phase 2 */ | |
| tmp13 = tmp0 - tmp3; | |
| tmp11 = tmp1 + tmp2; | |
| tmp12 = tmp1 - tmp2; | |
| dataptr[DCTSIZE*0] = tmp10 + tmp11; /* phase 3 */ | |
| dataptr[DCTSIZE*4] = tmp10 - tmp11; | |
| z1 = (tmp12 + tmp13) * ((FAST_FLOAT) 0.707106781); /* c4 */ | |
| dataptr[DCTSIZE*2] = tmp13 + z1; /* phase 5 */ | |
| dataptr[DCTSIZE*6] = tmp13 - z1; | |
| /* Odd part */ | |
| tmp10 = tmp4 + tmp5; /* phase 2 */ | |
| tmp11 = tmp5 + tmp6; | |
| tmp12 = tmp6 + tmp7; | |
| /* The rotator is modified from fig 4-8 to avoid extra negations. */ | |
| z5 = (tmp10 - tmp12) * ((FAST_FLOAT) 0.382683433); /* c6 */ | |
| z2 = ((FAST_FLOAT) 0.541196100) * tmp10 + z5; /* c2-c6 */ | |
| z4 = ((FAST_FLOAT) 1.306562965) * tmp12 + z5; /* c2+c6 */ | |
| z3 = tmp11 * ((FAST_FLOAT) 0.707106781); /* c4 */ | |
| z11 = tmp7 + z3; /* phase 5 */ | |
| z13 = tmp7 - z3; | |
| dataptr[DCTSIZE*5] = z13 + z2; /* phase 6 */ | |
| dataptr[DCTSIZE*3] = z13 - z2; | |
| dataptr[DCTSIZE*1] = z11 + z4; | |
| dataptr[DCTSIZE*7] = z11 - z4; | |
| dataptr++; /* advance pointer to next column */ | |
| } | |
| } | |
| #endif /* DCT_FLOAT_SUPPORTED */ |