1 /*****************************************************************************
3 *****************************************************************************
4 * Copyright (C) 1999, 2000 VideoLAN
5 * $Id: idct.c,v 1.6 2001/01/18 05:13:22 sam Exp $
7 * Authors: Gaƫl Hendryckx <jimmy@via.ecp.fr>
9 * This program is free software; you can redistribute it and/or modify
10 * it under the terms of the GNU General Public License as published by
11 * the Free Software Foundation; either version 2 of the License, or
12 * (at your option) any later version.
14 * This program is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17 * GNU General Public License for more details.
19 * You should have received a copy of the GNU General Public License
20 * along with this program; if not, write to the Free Software
21 * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111, USA.
22 *****************************************************************************/
24 #define MODULE_NAME idct
26 /*****************************************************************************
28 *****************************************************************************/
40 #include "video_output.h"
42 #include "video_decoder.h"
45 #include "modules_inner.h"
49 /*****************************************************************************
50 * Local and extern prototypes.
51 *****************************************************************************/
52 static void idct_getfunctions( function_list_t * p_function_list );
53 static int idct_Probe ( probedata_t *p_data );
54 static void vdec_NormScan ( u8 ppi_scan[2][64] );
57 /*****************************************************************************
58 * Build configuration tree.
59 *****************************************************************************/
61 ADD_WINDOW( "Configuration for IDCT module" )
62 ADD_COMMENT( "Ha, ha -- nothing to configure yet" )
65 /*****************************************************************************
66 * InitModule: get the module structure and configuration.
67 *****************************************************************************
68 * We have to fill psz_name, psz_longname and psz_version. These variables
69 * will be strdup()ed later by the main application because the module can
70 * be unloaded later to save memory, and we want to be able to access this
71 * data even after the module has been unloaded.
72 *****************************************************************************/
73 int InitModule( module_t * p_module )
75 p_module->psz_name = MODULE_STRING;
76 p_module->psz_longname = "IDCT module";
77 p_module->psz_version = VERSION;
79 p_module->i_capabilities = MODULE_CAPABILITY_NULL
80 | MODULE_CAPABILITY_IDCT;
85 /*****************************************************************************
86 * ActivateModule: set the module to an usable state.
87 *****************************************************************************
88 * This function fills the capability functions and the configuration
89 * structure. Once ActivateModule() has been called, the i_usage can
90 * be set to 0 and calls to NeedModule() be made to increment it. To unload
91 * the module, one has to wait until i_usage == 0 and call DeactivateModule().
92 *****************************************************************************/
93 int ActivateModule( module_t * p_module )
95 p_module->p_functions = malloc( sizeof( module_functions_t ) );
96 if( p_module->p_functions == NULL )
101 idct_getfunctions( &p_module->p_functions->idct );
103 p_module->p_config = p_config;
108 /*****************************************************************************
109 * DeactivateModule: make sure the module can be unloaded.
110 *****************************************************************************
111 * This function must only be called when i_usage == 0. If it successfully
112 * returns, i_usage can be set to -1 and the module unloaded. Be careful to
113 * lock usage_lock during the whole process.
114 *****************************************************************************/
115 int DeactivateModule( module_t * p_module )
117 free( p_module->p_functions );
122 /* Following functions are local */
124 /*****************************************************************************
125 * Functions exported as capabilities. They are declared as static so that
126 * we don't pollute the namespace too much.
127 *****************************************************************************/
128 static void idct_getfunctions( function_list_t * p_function_list )
130 p_function_list->pf_probe = idct_Probe;
131 p_function_list->functions.idct.pf_init = vdec_InitIDCT;
132 p_function_list->functions.idct.pf_sparse_idct = vdec_SparseIDCT;
133 p_function_list->functions.idct.pf_idct = vdec_IDCT;
134 p_function_list->functions.idct.pf_norm_scan = vdec_NormScan;
137 /*****************************************************************************
138 * idct_Probe: returns a preference score
139 *****************************************************************************/
140 static int idct_Probe( probedata_t *p_data )
142 if( TestMethod( IDCT_METHOD_VAR, "idct" ) )
147 /* This plugin always works */
151 /*****************************************************************************
152 * vdec_NormScan : Unused in this IDCT
153 *****************************************************************************/
154 static void vdec_NormScan( u8 ppi_scan[2][64] )
158 /*****************************************************************************
159 * vdec_IDCT : IDCT function for normal matrices
160 *****************************************************************************/
161 void vdec_IDCT( vdec_thread_t * p_vdec, dctelem_t * p_block,
164 s32 tmp0, tmp1, tmp2, tmp3;
165 s32 tmp10, tmp11, tmp12, tmp13;
166 s32 z1, z2, z3, z4, z5;
167 s32 d0, d1, d2, d3, d4, d5, d6, d7;
173 /* Pass 1: process rows. */
174 /* Note results are scaled up by sqrt(8) compared to a true IDCT; */
175 /* furthermore, we scale the results by 2**PASS1_BITS. */
179 for (rowctr = DCTSIZE-1; rowctr >= 0; rowctr--)
181 /* Due to quantization, we will usually find that many of the input
182 * coefficients are zero, especially the AC terms. We can exploit this
183 * by short-circuiting the IDCT calculation for any row in which all
184 * the AC terms are zero. In that case each output is equal to the
185 * DC coefficient (with scale factor as needed).
186 * With typical images and quantization tables, half or more of the
187 * row DCT calculations can be simplified this way.
190 register int * idataptr = (int*)dataptr;
193 if ( (d1 == 0) && ((idataptr[1] | idataptr[2] | idataptr[3]) == 0) )
195 /* AC terms all zero */
198 /* Compute a 32 bit value to assign. */
199 dctelem_t dcval = (dctelem_t) (d0 << PASS1_BITS);
200 register int v = (dcval & 0xffff) | (dcval << 16);
208 dataptr += DCTSIZE; /* advance pointer to next row */
218 /* Even part: reverse the even part of the forward DCT. */
219 /* The rotator is sqrt(2)*c(-6). */
228 /* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
229 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
230 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
231 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
233 tmp0 = (d0 + d4) << CONST_BITS;
234 tmp1 = (d0 - d4) << CONST_BITS;
243 /* d0 == 0, d2 != 0, d4 != 0, d6 != 0 */
244 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
245 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
246 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
248 tmp0 = d4 << CONST_BITS;
253 tmp12 = -(tmp0 + tmp2);
260 /* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
261 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
262 tmp3 = MULTIPLY(d6, FIX(0.541196100));
264 tmp0 = (d0 + d4) << CONST_BITS;
265 tmp1 = (d0 - d4) << CONST_BITS;
274 /* d0 == 0, d2 == 0, d4 != 0, d6 != 0 */
275 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
276 tmp3 = MULTIPLY(d6, FIX(0.541196100));
278 tmp0 = d4 << CONST_BITS;
283 tmp12 = -(tmp0 + tmp2);
293 /* d0 != 0, d2 != 0, d4 == 0, d6 != 0 */
294 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
295 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
296 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
298 tmp0 = d0 << CONST_BITS;
307 /* d0 == 0, d2 != 0, d4 == 0, d6 != 0 */
308 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
309 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
310 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
322 /* d0 != 0, d2 == 0, d4 == 0, d6 != 0 */
323 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
324 tmp3 = MULTIPLY(d6, FIX(0.541196100));
326 tmp0 = d0 << CONST_BITS;
335 /* d0 == 0, d2 == 0, d4 == 0, d6 != 0 */
336 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
337 tmp3 = MULTIPLY(d6, FIX(0.541196100));
355 /* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
356 tmp2 = MULTIPLY(d2, FIX(0.541196100));
357 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
359 tmp0 = (d0 + d4) << CONST_BITS;
360 tmp1 = (d0 - d4) << CONST_BITS;
369 /* d0 == 0, d2 != 0, d4 != 0, d6 == 0 */
370 tmp2 = MULTIPLY(d2, FIX(0.541196100));
371 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
373 tmp0 = d4 << CONST_BITS;
378 tmp12 = -(tmp0 + tmp2);
385 /* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
386 tmp10 = tmp13 = (d0 + d4) << CONST_BITS;
387 tmp11 = tmp12 = (d0 - d4) << CONST_BITS;
391 /* d0 == 0, d2 == 0, d4 != 0, d6 == 0 */
392 tmp10 = tmp13 = d4 << CONST_BITS;
393 tmp11 = tmp12 = -tmp10;
403 /* d0 != 0, d2 != 0, d4 == 0, d6 == 0 */
404 tmp2 = MULTIPLY(d2, FIX(0.541196100));
405 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
407 tmp0 = d0 << CONST_BITS;
416 /* d0 == 0, d2 != 0, d4 == 0, d6 == 0 */
417 tmp2 = MULTIPLY(d2, FIX(0.541196100));
418 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
430 /* d0 != 0, d2 == 0, d4 == 0, d6 == 0 */
431 tmp10 = tmp13 = tmp11 = tmp12 = d0 << CONST_BITS;
435 /* d0 == 0, d2 == 0, d4 == 0, d6 == 0 */
436 tmp10 = tmp13 = tmp11 = tmp12 = 0;
443 /* Odd part per figure 8; the matrix is unitary and hence its
444 * transpose is its inverse. i0..i3 are y7,y5,y3,y1 respectively.
455 /* d1 != 0, d3 != 0, d5 != 0, d7 != 0 */
460 z5 = MULTIPLY(z3 + z4, FIX(1.175875602));
462 tmp0 = MULTIPLY(d7, FIX(0.298631336));
463 tmp1 = MULTIPLY(d5, FIX(2.053119869));
464 tmp2 = MULTIPLY(d3, FIX(3.072711026));
465 tmp3 = MULTIPLY(d1, FIX(1.501321110));
466 z1 = MULTIPLY(z1, - FIX(0.899976223));
467 z2 = MULTIPLY(z2, - FIX(2.562915447));
468 z3 = MULTIPLY(z3, - FIX(1.961570560));
469 z4 = MULTIPLY(z4, - FIX(0.390180644));
481 /* d1 == 0, d3 != 0, d5 != 0, d7 != 0 */
484 z5 = MULTIPLY(z3 + d5, FIX(1.175875602));
486 tmp0 = MULTIPLY(d7, FIX(0.298631336));
487 tmp1 = MULTIPLY(d5, FIX(2.053119869));
488 tmp2 = MULTIPLY(d3, FIX(3.072711026));
489 z1 = MULTIPLY(d7, - FIX(0.899976223));
490 z2 = MULTIPLY(z2, - FIX(2.562915447));
491 z3 = MULTIPLY(z3, - FIX(1.961570560));
492 z4 = MULTIPLY(d5, - FIX(0.390180644));
507 /* d1 != 0, d3 == 0, d5 != 0, d7 != 0 */
510 z5 = MULTIPLY(d7 + z4, FIX(1.175875602));
512 tmp0 = MULTIPLY(d7, FIX(0.298631336));
513 tmp1 = MULTIPLY(d5, FIX(2.053119869));
514 tmp3 = MULTIPLY(d1, FIX(1.501321110));
515 z1 = MULTIPLY(z1, - FIX(0.899976223));
516 z2 = MULTIPLY(d5, - FIX(2.562915447));
517 z3 = MULTIPLY(d7, - FIX(1.961570560));
518 z4 = MULTIPLY(z4, - FIX(0.390180644));
530 /* d1 == 0, d3 == 0, d5 != 0, d7 != 0 */
531 z5 = MULTIPLY(d7 + d5, FIX(1.175875602));
533 tmp0 = MULTIPLY(d7, - FIX2(0.601344887));
534 tmp1 = MULTIPLY(d5, - FIX2(0.509795578));
535 z1 = MULTIPLY(d7, - FIX(0.899976223));
536 z3 = MULTIPLY(d7, - FIX(1.961570560));
537 z2 = MULTIPLY(d5, - FIX(2.562915447));
538 z4 = MULTIPLY(d5, - FIX(0.390180644));
556 /* d1 != 0, d3 != 0, d5 == 0, d7 != 0 */
559 z5 = MULTIPLY(z3 + d1, FIX(1.175875602));
561 tmp0 = MULTIPLY(d7, FIX(0.298631336));
562 tmp2 = MULTIPLY(d3, FIX(3.072711026));
563 tmp3 = MULTIPLY(d1, FIX(1.501321110));
564 z1 = MULTIPLY(z1, - FIX(0.899976223));
565 z2 = MULTIPLY(d3, - FIX(2.562915447));
566 z3 = MULTIPLY(z3, - FIX(1.961570560));
567 z4 = MULTIPLY(d1, - FIX(0.390180644));
579 /* d1 == 0, d3 != 0, d5 == 0, d7 != 0 */
581 z5 = MULTIPLY(z3, FIX(1.175875602));
583 tmp0 = MULTIPLY(d7, - FIX2(0.601344887));
584 tmp2 = MULTIPLY(d3, FIX(0.509795579));
585 z1 = MULTIPLY(d7, - FIX(0.899976223));
586 z2 = MULTIPLY(d3, - FIX(2.562915447));
587 z3 = MULTIPLY(z3, - FIX2(0.785694958));
599 /* d1 != 0, d3 == 0, d5 == 0, d7 != 0 */
601 z5 = MULTIPLY(z1, FIX(1.175875602));
603 tmp0 = MULTIPLY(d7, - FIX2(1.662939224));
604 tmp3 = MULTIPLY(d1, FIX2(1.111140466));
605 z1 = MULTIPLY(z1, FIX2(0.275899379));
606 z3 = MULTIPLY(d7, - FIX(1.961570560));
607 z4 = MULTIPLY(d1, - FIX(0.390180644));
616 /* d1 == 0, d3 == 0, d5 == 0, d7 != 0 */
617 tmp0 = MULTIPLY(d7, - FIX2(1.387039845));
618 tmp1 = MULTIPLY(d7, FIX(1.175875602));
619 tmp2 = MULTIPLY(d7, - FIX2(0.785694958));
620 tmp3 = MULTIPLY(d7, FIX2(0.275899379));
633 /* d1 != 0, d3 != 0, d5 != 0, d7 == 0 */
636 z5 = MULTIPLY(d3 + z4, FIX(1.175875602));
638 tmp1 = MULTIPLY(d5, FIX(2.053119869));
639 tmp2 = MULTIPLY(d3, FIX(3.072711026));
640 tmp3 = MULTIPLY(d1, FIX(1.501321110));
641 z1 = MULTIPLY(d1, - FIX(0.899976223));
642 z2 = MULTIPLY(z2, - FIX(2.562915447));
643 z3 = MULTIPLY(d3, - FIX(1.961570560));
644 z4 = MULTIPLY(z4, - FIX(0.390180644));
656 /* d1 == 0, d3 != 0, d5 != 0, d7 == 0 */
658 z5 = MULTIPLY(z2, FIX(1.175875602));
660 tmp1 = MULTIPLY(d5, FIX2(1.662939225));
661 tmp2 = MULTIPLY(d3, FIX2(1.111140466));
662 z2 = MULTIPLY(z2, - FIX2(1.387039845));
663 z3 = MULTIPLY(d3, - FIX(1.961570560));
664 z4 = MULTIPLY(d5, - FIX(0.390180644));
676 /* d1 != 0, d3 == 0, d5 != 0, d7 == 0 */
678 z5 = MULTIPLY(z4, FIX(1.175875602));
680 tmp1 = MULTIPLY(d5, - FIX2(0.509795578));
681 tmp3 = MULTIPLY(d1, FIX2(0.601344887));
682 z1 = MULTIPLY(d1, - FIX(0.899976223));
683 z2 = MULTIPLY(d5, - FIX(2.562915447));
684 z4 = MULTIPLY(z4, FIX2(0.785694958));
693 /* d1 == 0, d3 == 0, d5 != 0, d7 == 0 */
694 tmp0 = MULTIPLY(d5, FIX(1.175875602));
695 tmp1 = MULTIPLY(d5, FIX2(0.275899380));
696 tmp2 = MULTIPLY(d5, - FIX2(1.387039845));
697 tmp3 = MULTIPLY(d5, FIX2(0.785694958));
707 /* d1 != 0, d3 != 0, d5 == 0, d7 == 0 */
710 tmp2 = MULTIPLY(d3, - FIX(1.451774981));
711 tmp3 = MULTIPLY(d1, (FIX(0.211164243) - 1));
712 z1 = MULTIPLY(d1, FIX(1.061594337));
713 z2 = MULTIPLY(d3, - FIX(2.172734803));
714 z4 = MULTIPLY(z5, FIX(0.785694958));
715 z5 = MULTIPLY(z5, FIX(1.175875602));
724 /* d1 == 0, d3 != 0, d5 == 0, d7 == 0 */
725 tmp0 = MULTIPLY(d3, - FIX2(0.785694958));
726 tmp1 = MULTIPLY(d3, - FIX2(1.387039845));
727 tmp2 = MULTIPLY(d3, - FIX2(0.275899379));
728 tmp3 = MULTIPLY(d3, FIX(1.175875602));
735 /* d1 != 0, d3 == 0, d5 == 0, d7 == 0 */
736 tmp0 = MULTIPLY(d1, FIX2(0.275899379));
737 tmp1 = MULTIPLY(d1, FIX2(0.785694958));
738 tmp2 = MULTIPLY(d1, FIX(1.175875602));
739 tmp3 = MULTIPLY(d1, FIX2(1.387039845));
743 /* d1 == 0, d3 == 0, d5 == 0, d7 == 0 */
744 tmp0 = tmp1 = tmp2 = tmp3 = 0;
750 /* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
752 dataptr[0] = (dctelem_t) DESCALE(tmp10 + tmp3, CONST_BITS-PASS1_BITS);
753 dataptr[7] = (dctelem_t) DESCALE(tmp10 - tmp3, CONST_BITS-PASS1_BITS);
754 dataptr[1] = (dctelem_t) DESCALE(tmp11 + tmp2, CONST_BITS-PASS1_BITS);
755 dataptr[6] = (dctelem_t) DESCALE(tmp11 - tmp2, CONST_BITS-PASS1_BITS);
756 dataptr[2] = (dctelem_t) DESCALE(tmp12 + tmp1, CONST_BITS-PASS1_BITS);
757 dataptr[5] = (dctelem_t) DESCALE(tmp12 - tmp1, CONST_BITS-PASS1_BITS);
758 dataptr[3] = (dctelem_t) DESCALE(tmp13 + tmp0, CONST_BITS-PASS1_BITS);
759 dataptr[4] = (dctelem_t) DESCALE(tmp13 - tmp0, CONST_BITS-PASS1_BITS);
761 dataptr += DCTSIZE; /* advance pointer to next row */
764 /* Pass 2: process columns. */
765 /* Note that we must descale the results by a factor of 8 == 2**3, */
766 /* and also undo the PASS1_BITS scaling. */
769 for (rowctr = DCTSIZE-1; rowctr >= 0; rowctr--)
771 /* Columns of zeroes can be exploited in the same way as we did with rows.
772 * However, the row calculation has created many nonzero AC terms, so the
773 * simplification applies less often (typically 5% to 10% of the time).
774 * On machines with very fast multiplication, it's possible that the
775 * test takes more time than it's worth. In that case this section
776 * may be commented out.
779 d0 = dataptr[DCTSIZE*0];
780 d1 = dataptr[DCTSIZE*1];
781 d2 = dataptr[DCTSIZE*2];
782 d3 = dataptr[DCTSIZE*3];
783 d4 = dataptr[DCTSIZE*4];
784 d5 = dataptr[DCTSIZE*5];
785 d6 = dataptr[DCTSIZE*6];
786 d7 = dataptr[DCTSIZE*7];
788 /* Even part: reverse the even part of the forward DCT. */
789 /* The rotator is sqrt(2)*c(-6). */
798 /* d0 != 0, d2 != 0, d4 != 0, d6 != 0 */
799 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
800 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
801 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
803 tmp0 = (d0 + d4) << CONST_BITS;
804 tmp1 = (d0 - d4) << CONST_BITS;
813 /* d0 == 0, d2 != 0, d4 != 0, d6 != 0 */
814 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
815 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
816 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
818 tmp0 = d4 << CONST_BITS;
823 tmp12 = -(tmp0 + tmp2);
830 /* d0 != 0, d2 == 0, d4 != 0, d6 != 0 */
831 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
832 tmp3 = MULTIPLY(d6, FIX(0.541196100));
834 tmp0 = (d0 + d4) << CONST_BITS;
835 tmp1 = (d0 - d4) << CONST_BITS;
844 /* d0 == 0, d2 == 0, d4 != 0, d6 != 0 */
845 tmp2 = MULTIPLY(d6, -FIX2(1.306562965));
846 tmp3 = MULTIPLY(d6, FIX(0.541196100));
848 tmp0 = d4 << CONST_BITS;
853 tmp12 = -(tmp0 + tmp2);
863 /* d0 != 0, d2 != 0, d4 == 0, d6 != 0 */
864 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
865 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
866 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
868 tmp0 = d0 << CONST_BITS;
877 /* d0 == 0, d2 != 0, d4 == 0, d6 != 0 */
878 z1 = MULTIPLY(d2 + d6, FIX(0.541196100));
879 tmp2 = z1 + MULTIPLY(d6, - FIX(1.847759065));
880 tmp3 = z1 + MULTIPLY(d2, FIX(0.765366865));
892 /* d0 != 0, d2 == 0, d4 == 0, d6 != 0 */
893 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
894 tmp3 = MULTIPLY(d6, FIX(0.541196100));
896 tmp0 = d0 << CONST_BITS;
905 /* d0 == 0, d2 == 0, d4 == 0, d6 != 0 */
906 tmp2 = MULTIPLY(d6, - FIX2(1.306562965));
907 tmp3 = MULTIPLY(d6, FIX(0.541196100));
924 /* d0 != 0, d2 != 0, d4 != 0, d6 == 0 */
925 tmp2 = MULTIPLY(d2, FIX(0.541196100));
926 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
928 tmp0 = (d0 + d4) << CONST_BITS;
929 tmp1 = (d0 - d4) << CONST_BITS;
938 /* d0 == 0, d2 != 0, d4 != 0, d6 == 0 */
939 tmp2 = MULTIPLY(d2, FIX(0.541196100));
940 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
942 tmp0 = d4 << CONST_BITS;
947 tmp12 = -(tmp0 + tmp2);
954 /* d0 != 0, d2 == 0, d4 != 0, d6 == 0 */
955 tmp10 = tmp13 = (d0 + d4) << CONST_BITS;
956 tmp11 = tmp12 = (d0 - d4) << CONST_BITS;
960 /* d0 == 0, d2 == 0, d4 != 0, d6 == 0 */
961 tmp10 = tmp13 = d4 << CONST_BITS;
962 tmp11 = tmp12 = -tmp10;
972 /* d0 != 0, d2 != 0, d4 == 0, d6 == 0 */
973 tmp2 = MULTIPLY(d2, FIX(0.541196100));
974 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
976 tmp0 = d0 << CONST_BITS;
985 /* d0 == 0, d2 != 0, d4 == 0, d6 == 0 */
986 tmp2 = MULTIPLY(d2, FIX(0.541196100));
987 tmp3 = MULTIPLY(d2, (FIX(1.306562965) + .5));
999 /* d0 != 0, d2 == 0, d4 == 0, d6 == 0 */
1000 tmp10 = tmp13 = tmp11 = tmp12 = d0 << CONST_BITS;
1004 /* d0 == 0, d2 == 0, d4 == 0, d6 == 0 */
1005 tmp10 = tmp13 = tmp11 = tmp12 = 0;
1011 /* Odd part per figure 8; the matrix is unitary and hence its
1012 * transpose is its inverse. i0..i3 are y7,y5,y3,y1 respectively.
1022 /* d1 != 0, d3 != 0, d5 != 0, d7 != 0 */
1027 z5 = MULTIPLY(z3 + z4, FIX(1.175875602));
1029 tmp0 = MULTIPLY(d7, FIX(0.298631336));
1030 tmp1 = MULTIPLY(d5, FIX(2.053119869));
1031 tmp2 = MULTIPLY(d3, FIX(3.072711026));
1032 tmp3 = MULTIPLY(d1, FIX(1.501321110));
1033 z1 = MULTIPLY(z1, - FIX(0.899976223));
1034 z2 = MULTIPLY(z2, - FIX(2.562915447));
1035 z3 = MULTIPLY(z3, - FIX(1.961570560));
1036 z4 = MULTIPLY(z4, - FIX(0.390180644));
1048 /* d1 == 0, d3 != 0, d5 != 0, d7 != 0 */
1051 z5 = MULTIPLY(z3 + d5, FIX(1.175875602));
1053 tmp0 = MULTIPLY(d7, FIX(0.298631336));
1054 tmp1 = MULTIPLY(d5, FIX(2.053119869));
1055 tmp2 = MULTIPLY(d3, FIX(3.072711026));
1056 z1 = MULTIPLY(d7, - FIX(0.899976223));
1057 z2 = MULTIPLY(z2, - FIX(2.562915447));
1058 z3 = MULTIPLY(z3, - FIX(1.961570560));
1059 z4 = MULTIPLY(d5, - FIX(0.390180644));
1074 /* d1 != 0, d3 == 0, d5 != 0, d7 != 0 */
1077 z5 = MULTIPLY(d7 + z4, FIX(1.175875602));
1079 tmp0 = MULTIPLY(d7, FIX(0.298631336));
1080 tmp1 = MULTIPLY(d5, FIX(2.053119869));
1081 tmp3 = MULTIPLY(d1, FIX(1.501321110));
1082 z1 = MULTIPLY(z1, - FIX(0.899976223));
1083 z2 = MULTIPLY(d5, - FIX(2.562915447));
1084 z3 = MULTIPLY(d7, - FIX(1.961570560));
1085 z4 = MULTIPLY(z4, - FIX(0.390180644));
1097 /* d1 == 0, d3 == 0, d5 != 0, d7 != 0 */
1098 z5 = MULTIPLY(d5 + d7, FIX(1.175875602));
1100 tmp0 = MULTIPLY(d7, - FIX2(0.601344887));
1101 tmp1 = MULTIPLY(d5, - FIX2(0.509795578));
1102 z1 = MULTIPLY(d7, - FIX(0.899976223));
1103 z3 = MULTIPLY(d7, - FIX(1.961570560));
1104 z2 = MULTIPLY(d5, - FIX(2.562915447));
1105 z4 = MULTIPLY(d5, - FIX(0.390180644));
1123 /* d1 != 0, d3 != 0, d5 == 0, d7 != 0 */
1126 z5 = MULTIPLY(z3 + d1, FIX(1.175875602));
1128 tmp0 = MULTIPLY(d7, FIX(0.298631336));
1129 tmp2 = MULTIPLY(d3, FIX(3.072711026));
1130 tmp3 = MULTIPLY(d1, FIX(1.501321110));
1131 z1 = MULTIPLY(z1, - FIX(0.899976223));
1132 z2 = MULTIPLY(d3, - FIX(2.562915447));
1133 z3 = MULTIPLY(z3, - FIX(1.961570560));
1134 z4 = MULTIPLY(d1, - FIX(0.390180644));
1146 /* d1 == 0, d3 != 0, d5 == 0, d7 != 0 */
1148 z5 = MULTIPLY(z3, FIX(1.175875602));
1150 tmp0 = MULTIPLY(d7, - FIX2(0.601344887));
1151 z1 = MULTIPLY(d7, - FIX(0.899976223));
1152 tmp2 = MULTIPLY(d3, FIX(0.509795579));
1153 z2 = MULTIPLY(d3, - FIX(2.562915447));
1154 z3 = MULTIPLY(z3, - FIX2(0.785694958));
1166 /* d1 != 0, d3 == 0, d5 == 0, d7 != 0 */
1168 z5 = MULTIPLY(z1, FIX(1.175875602));
1170 tmp0 = MULTIPLY(d7, - FIX2(1.662939224));
1171 tmp3 = MULTIPLY(d1, FIX2(1.111140466));
1172 z1 = MULTIPLY(z1, FIX2(0.275899379));
1173 z3 = MULTIPLY(d7, - FIX(1.961570560));
1174 z4 = MULTIPLY(d1, - FIX(0.390180644));
1183 /* d1 == 0, d3 == 0, d5 == 0, d7 != 0 */
1184 tmp0 = MULTIPLY(d7, - FIX2(1.387039845));
1185 tmp1 = MULTIPLY(d7, FIX(1.175875602));
1186 tmp2 = MULTIPLY(d7, - FIX2(0.785694958));
1187 tmp3 = MULTIPLY(d7, FIX2(0.275899379));
1200 /* d1 != 0, d3 != 0, d5 != 0, d7 == 0 */
1203 z5 = MULTIPLY(d3 + z4, FIX(1.175875602));
1205 tmp1 = MULTIPLY(d5, FIX(2.053119869));
1206 tmp2 = MULTIPLY(d3, FIX(3.072711026));
1207 tmp3 = MULTIPLY(d1, FIX(1.501321110));
1208 z1 = MULTIPLY(d1, - FIX(0.899976223));
1209 z2 = MULTIPLY(z2, - FIX(2.562915447));
1210 z3 = MULTIPLY(d3, - FIX(1.961570560));
1211 z4 = MULTIPLY(z4, - FIX(0.390180644));
1223 /* d1 == 0, d3 != 0, d5 != 0, d7 == 0 */
1225 z5 = MULTIPLY(z2, FIX(1.175875602));
1227 tmp1 = MULTIPLY(d5, FIX2(1.662939225));
1228 tmp2 = MULTIPLY(d3, FIX2(1.111140466));
1229 z2 = MULTIPLY(z2, - FIX2(1.387039845));
1230 z3 = MULTIPLY(d3, - FIX(1.961570560));
1231 z4 = MULTIPLY(d5, - FIX(0.390180644));
1243 /* d1 != 0, d3 == 0, d5 != 0, d7 == 0 */
1245 z5 = MULTIPLY(z4, FIX(1.175875602));
1247 tmp1 = MULTIPLY(d5, - FIX2(0.509795578));
1248 tmp3 = MULTIPLY(d1, FIX2(0.601344887));
1249 z1 = MULTIPLY(d1, - FIX(0.899976223));
1250 z2 = MULTIPLY(d5, - FIX(2.562915447));
1251 z4 = MULTIPLY(z4, FIX2(0.785694958));
1260 /* d1 == 0, d3 == 0, d5 != 0, d7 == 0 */
1261 tmp0 = MULTIPLY(d5, FIX(1.175875602));
1262 tmp1 = MULTIPLY(d5, FIX2(0.275899380));
1263 tmp2 = MULTIPLY(d5, - FIX2(1.387039845));
1264 tmp3 = MULTIPLY(d5, FIX2(0.785694958));
1274 /* d1 != 0, d3 != 0, d5 == 0, d7 == 0 */
1277 tmp2 = MULTIPLY(d3, - FIX(1.451774981));
1278 tmp3 = MULTIPLY(d1, (FIX(0.211164243) - 1));
1279 z1 = MULTIPLY(d1, FIX(1.061594337));
1280 z2 = MULTIPLY(d3, - FIX(2.172734803));
1281 z4 = MULTIPLY(z5, FIX(0.785694958));
1282 z5 = MULTIPLY(z5, FIX(1.175875602));
1291 /* d1 == 0, d3 != 0, d5 == 0, d7 == 0 */
1292 tmp0 = MULTIPLY(d3, - FIX2(0.785694958));
1293 tmp1 = MULTIPLY(d3, - FIX2(1.387039845));
1294 tmp2 = MULTIPLY(d3, - FIX2(0.275899379));
1295 tmp3 = MULTIPLY(d3, FIX(1.175875602));
1302 /* d1 != 0, d3 == 0, d5 == 0, d7 == 0 */
1303 tmp0 = MULTIPLY(d1, FIX2(0.275899379));
1304 tmp1 = MULTIPLY(d1, FIX2(0.785694958));
1305 tmp2 = MULTIPLY(d1, FIX(1.175875602));
1306 tmp3 = MULTIPLY(d1, FIX2(1.387039845));
1310 /* d1 == 0, d3 == 0, d5 == 0, d7 == 0 */
1311 tmp0 = tmp1 = tmp2 = tmp3 = 0;
1317 /* Final output stage: inputs are tmp10..tmp13, tmp0..tmp3 */
1319 dataptr[DCTSIZE*0] = (dctelem_t) DESCALE(tmp10 + tmp3,
1320 CONST_BITS+PASS1_BITS+3);
1321 dataptr[DCTSIZE*7] = (dctelem_t) DESCALE(tmp10 - tmp3,
1322 CONST_BITS+PASS1_BITS+3);
1323 dataptr[DCTSIZE*1] = (dctelem_t) DESCALE(tmp11 + tmp2,
1324 CONST_BITS+PASS1_BITS+3);
1325 dataptr[DCTSIZE*6] = (dctelem_t) DESCALE(tmp11 - tmp2,
1326 CONST_BITS+PASS1_BITS+3);
1327 dataptr[DCTSIZE*2] = (dctelem_t) DESCALE(tmp12 + tmp1,
1328 CONST_BITS+PASS1_BITS+3);
1329 dataptr[DCTSIZE*5] = (dctelem_t) DESCALE(tmp12 - tmp1,
1330 CONST_BITS+PASS1_BITS+3);
1331 dataptr[DCTSIZE*3] = (dctelem_t) DESCALE(tmp13 + tmp0,
1332 CONST_BITS+PASS1_BITS+3);
1333 dataptr[DCTSIZE*4] = (dctelem_t) DESCALE(tmp13 - tmp0,
1334 CONST_BITS+PASS1_BITS+3);
1336 dataptr++; /* advance pointer to next column */