1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
|
/*
* Copyright (c) 2020-2021 Samsung Electronics Co., Ltd. All rights reserved.
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
/*
* The FreeType Project LICENSE
* ----------------------------
* 2006-Jan-27
* Copyright 1996-2002, 2006 by
* David Turner, Robert Wilhelm, and Werner Lemberg
* Introduction
* ============
* The FreeType Project is distributed in several archive packages;
* some of them may contain, in addition to the FreeType font engine,
* various tools and contributions which rely on, or relate to, the
* FreeType Project.
* This license applies to all files found in such packages, and
* which do not fall under their own explicit license. The license
* affects thus the FreeType font engine, the test programs,
* documentation and makefiles, at the very least.
* This license was inspired by the BSD, Artistic, and IJG
* (Independent JPEG Group) licenses, which all encourage inclusion
* and use of free software in commercial and freeware products
* alike. As a consequence, its main points are that:
* o We don't promise that this software works. However, we will be
* interested in any kind of bug reports. (`as is' distribution)
* o You can use this software for whatever you want, in parts or
* full form, without having to pay us. (`royalty-free' usage)
* o You may not pretend that you wrote this software. If you use
* it, or only parts of it, in a program, you must acknowledge
* somewhere in your documentation that you have used the
* FreeType code. (`credits')
* We specifically permit and encourage the inclusion of this
* software, with or without modifications, in commercial products.
* We disclaim all warranties covering The FreeType Project and
* assume no liability related to The FreeType Project.
* Finally, many people asked us for a preferred form for a
* credit/disclaimer to use in compliance with this license. We thus
* encourage you to use the following text:
* """
* Portions of this software are copyright � <year> The FreeType
* Project (www.freetype.org). All rights reserved.
* """
* Please replace <year> with the value from the FreeType version you
* actually use.
* Legal Terms
* ===========
* 0. Definitions
* --------------
* Throughout this license, the terms `package', `FreeType Project',
* and `FreeType archive' refer to the set of files originally
* distributed by the authors (David Turner, Robert Wilhelm, and
* Werner Lemberg) as the `FreeType Project', be they named as alpha,
* beta or final release.
* `You' refers to the licensee, or person using the project, where
* `using' is a generic term including compiling the project's source
* code as well as linking it to form a `program' or `executable'.
* This program is referred to as `a program using the FreeType
* engine'.
* This license applies to all files distributed in the original
* FreeType Project, including all source code, binaries and
* documentation, unless otherwise stated in the file in its
* original, unmodified form as distributed in the original archive.
* If you are unsure whether or not a particular file is covered by
* this license, you must contact us to verify this.
* The FreeType Project is copyright (C) 1996-2000 by David Turner,
* Robert Wilhelm, and Werner Lemberg. All rights reserved except as
* specified below.
* 1. No Warranty
* --------------
* THE FREETYPE PROJECT IS PROVIDED `AS IS' WITHOUT WARRANTY OF ANY
* KIND, EITHER EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE. IN NO EVENT WILL ANY OF THE AUTHORS OR COPYRIGHT HOLDERS
* BE LIABLE FOR ANY DAMAGES CAUSED BY THE USE OR THE INABILITY TO
* USE, OF THE FREETYPE PROJECT.
* 2. Redistribution
* -----------------
* This license grants a worldwide, royalty-free, perpetual and
* irrevocable right and license to use, execute, perform, compile,
* display, copy, create derivative works of, distribute and
* sublicense the FreeType Project (in both source and object code
* forms) and derivative works thereof for any purpose; and to
* authorize others to exercise some or all of the rights granted
* herein, subject to the following conditions:
* o Redistribution of source code must retain this license file
* (`FTL.TXT') unaltered; any additions, deletions or changes to
* the original files must be clearly indicated in accompanying
* documentation. The copyright notices of the unaltered,
* original files must be preserved in all copies of source
* files.
* o Redistribution in binary form must provide a disclaimer that
* states that the software is based in part of the work of the
* FreeType Team, in the distribution documentation. We also
* encourage you to put an URL to the FreeType web page in your
* documentation, though this isn't mandatory.
* These conditions apply to any software derived from or based on
* the FreeType Project, not just the unmodified files. If you use
* our work, you must acknowledge us. However, no fee need be paid
* to us.
* 3. Advertising
* --------------
* Neither the FreeType authors and contributors nor you shall use
* the name of the other for commercial, advertising, or promotional
* purposes without specific prior written permission.
* We suggest, but do not require, that you use one or more of the
* following phrases to refer to this software in your documentation
* or advertising materials: `FreeType Project', `FreeType Engine',
* `FreeType library', or `FreeType Distribution'.
* As you have not signed this license, you are not required to
* accept it. However, as the FreeType Project is copyrighted
* material, only this license, or another one contracted with the
* authors, grants you the right to use, distribute, and modify it.
* Therefore, by using, distributing, or modifying the FreeType
* Project, you indicate that you understand and accept all the terms
* of this license.
* 4. Contacts
* -----------
* There are two mailing lists related to FreeType:
* o freetype@nongnu.org
* Discusses general use and applications of FreeType, as well as
* future and wanted additions to the library and distribution.
* If you are looking for support, start in this list if you
* haven't found anything to help you in the documentation.
* o freetype-devel@nongnu.org
* Discusses bugs, as well as engine internals, design issues,
* specific licenses, porting, etc.
* Our home page can be found at
* http://www.freetype.org
*/
#include <setjmp.h>
#include <limits.h>
#include <memory.h>
#include "tvgSwCommon.h"
/************************************************************************/
/* Internal Class Implementation */
/************************************************************************/
constexpr auto MAX_SPANS = 256;
constexpr auto PIXEL_BITS = 8; //must be at least 6 bits!
constexpr auto ONE_PIXEL = (1L << PIXEL_BITS);
using Area = long;
struct Band
{
SwCoord min, max;
};
struct Cell
{
SwCoord x;
SwCoord cover;
Area area;
Cell *next;
};
struct RleWorker
{
SwRleData* rle;
SwPoint cellPos;
SwPoint cellMin;
SwPoint cellMax;
SwCoord cellXCnt;
SwCoord cellYCnt;
Area area;
SwCoord cover;
Cell* cells;
ptrdiff_t maxCells;
ptrdiff_t cellsCnt;
SwPoint pos;
SwPoint bezStack[32 * 3 + 1];
int levStack[32];
SwOutline* outline;
SwSpan spans[MAX_SPANS];
int spansCnt;
int ySpan;
int bandSize;
int bandShoot;
jmp_buf jmpBuf;
void* buffer;
long bufferSize;
Cell** yCells;
SwCoord yCnt;
bool invalid;
bool antiAlias;
};
static inline SwPoint UPSCALE(const SwPoint& pt)
{
return {SwCoord(((unsigned long) pt.x) << (PIXEL_BITS - 6)), SwCoord(((unsigned long) pt.y) << (PIXEL_BITS - 6))};
}
static inline SwPoint TRUNC(const SwPoint& pt)
{
return {pt.x >> PIXEL_BITS, pt.y >> PIXEL_BITS};
}
static inline SwCoord TRUNC(const SwCoord x)
{
return x >> PIXEL_BITS;
}
static inline SwPoint SUBPIXELS(const SwPoint& pt)
{
return {SwCoord(((unsigned long) pt.x) << PIXEL_BITS), SwCoord(((unsigned long) pt.y) << PIXEL_BITS)};
}
static inline SwCoord SUBPIXELS(const SwCoord x)
{
return SwCoord(((unsigned long) x) << PIXEL_BITS);
}
/*
* Approximate sqrt(x*x+y*y) using the `alpha max plus beta min'
* algorithm. We use alpha = 1, beta = 3/8, giving us results with a
* largest error less than 7% compared to the exact value.
*/
static inline SwCoord HYPOT(SwPoint pt)
{
if (pt.x < 0) pt.x = -pt.x;
if (pt.y < 0) pt.y = -pt.y;
return ((pt.x > pt.y) ? (pt.x + (3 * pt.y >> 3)) : (pt.y + (3 * pt.x >> 3)));
}
static void _genSpan(SwRleData* rle, const SwSpan* spans, uint32_t count)
{
auto newSize = rle->size + count;
/* allocate enough memory for new spans */
/* alloc is required to prevent free and reallocation */
/* when the rle needs to be regenerated because of attribute change. */
if (rle->alloc < newSize) {
rle->alloc = (newSize * 2);
//OPTIMIZE: use mempool!
rle->spans = static_cast<SwSpan*>(realloc(rle->spans, rle->alloc * sizeof(SwSpan)));
}
//copy the new spans to the allocated memory
SwSpan* lastSpan = rle->spans + rle->size;
memcpy(lastSpan, spans, count * sizeof(SwSpan));
rle->size = newSize;
}
static void _horizLine(RleWorker& rw, SwCoord x, SwCoord y, SwCoord area, SwCoord acount)
{
x += rw.cellMin.x;
y += rw.cellMin.y;
//Clip Y range
if (y < rw.cellMin.y || y >= rw.cellMax.y) return;
/* compute the coverage line's coverage, depending on the outline fill rule */
/* the coverage percentage is area/(PIXEL_BITS*PIXEL_BITS*2) */
auto coverage = static_cast<int>(area >> (PIXEL_BITS * 2 + 1 - 8)); //range 0 - 255
if (coverage < 0) coverage = -coverage;
if (rw.outline->fillRule == FillRule::EvenOdd) {
coverage &= 511;
if (coverage > 255) coverage = 511 - coverage;
} else {
//normal non-zero winding rule
if (coverage > 255) coverage = 255;
}
//span has ushort coordinates. check limit overflow
if (x >= SHRT_MAX) {
TVGERR("SW_ENGINE", "X-coordiante overflow!");
x = SHRT_MAX;
}
if (y >= SHRT_MAX) {
TVGERR("SW_ENGINE", "Y Coordiante overflow!");
y = SHRT_MAX;
}
if (coverage > 0) {
if (!rw.antiAlias) coverage = 255;
auto count = rw.spansCnt;
auto span = rw.spans + count - 1;
//see whether we can add this span to the current list
if ((count > 0) && (rw.ySpan == y) &&
(span->x + span->len == x) && (span->coverage == coverage)) {
//Clip x range
SwCoord xOver = 0;
if (x + acount >= rw.cellMax.x) xOver -= (x + acount - rw.cellMax.x);
if (x < rw.cellMin.x) xOver -= (rw.cellMin.x - x);
//span->len += (acount + xOver) - 1;
span->len += (acount + xOver);
return;
}
if (count >= MAX_SPANS) {
_genSpan(rw.rle, rw.spans, count);
rw.spansCnt = 0;
rw.ySpan = 0;
span = rw.spans;
} else {
++span;
}
//Clip x range
SwCoord xOver = 0;
if (x + acount >= rw.cellMax.x) xOver -= (x + acount - rw.cellMax.x);
if (x < rw.cellMin.x) {
xOver -= (rw.cellMin.x - x);
x = rw.cellMin.x;
}
//Nothing to draw
if (acount + xOver <= 0) return;
//add a span to the current list
span->x = x;
span->y = y;
span->len = (acount + xOver);
span->coverage = coverage;
++rw.spansCnt;
rw.ySpan = y;
}
}
static void _sweep(RleWorker& rw)
{
if (rw.cellsCnt == 0) return;
rw.spansCnt = 0;
rw.ySpan = 0;
for (int y = 0; y < rw.yCnt; ++y) {
auto cover = 0;
auto x = 0;
auto cell = rw.yCells[y];
while (cell) {
if (cell->x > x && cover != 0) _horizLine(rw, x, y, cover * (ONE_PIXEL * 2), cell->x - x);
cover += cell->cover;
auto area = cover * (ONE_PIXEL * 2) - cell->area;
if (area != 0 && cell->x >= 0) _horizLine(rw, cell->x, y, area, 1);
x = cell->x + 1;
cell = cell->next;
}
if (cover != 0) _horizLine(rw, x, y, cover * (ONE_PIXEL * 2), rw.cellXCnt - x);
}
if (rw.spansCnt > 0) _genSpan(rw.rle, rw.spans, rw.spansCnt);
}
static Cell* _findCell(RleWorker& rw)
{
auto x = rw.cellPos.x;
if (x > rw.cellXCnt) x = rw.cellXCnt;
auto pcell = &rw.yCells[rw.cellPos.y];
while(true) {
Cell* cell = *pcell;
if (!cell || cell->x > x) break;
if (cell->x == x) return cell;
pcell = &cell->next;
}
if (rw.cellsCnt >= rw.maxCells) longjmp(rw.jmpBuf, 1);
auto cell = rw.cells + rw.cellsCnt++;
cell->x = x;
cell->area = 0;
cell->cover = 0;
cell->next = *pcell;
*pcell = cell;
return cell;
}
static void _recordCell(RleWorker& rw)
{
if (rw.area | rw.cover) {
auto cell = _findCell(rw);
cell->area += rw.area;
cell->cover += rw.cover;
}
}
static void _setCell(RleWorker& rw, SwPoint pos)
{
/* Move the cell pointer to a new position. We set the `invalid' */
/* flag to indicate that the cell isn't part of those we're interested */
/* in during the render phase. This means that: */
/* */
/* . the new vertical position must be within min_ey..max_ey-1. */
/* . the new horizontal position must be strictly less than max_ex */
/* */
/* Note that if a cell is to the left of the clipping region, it is */
/* actually set to the (min_ex-1) horizontal position. */
/* All cells that are on the left of the clipping region go to the
min_ex - 1 horizontal position. */
pos.x -= rw.cellMin.x;
pos.y -= rw.cellMin.y;
if (pos.x > rw.cellMax.x) pos.x = rw.cellMax.x;
//Are we moving to a different cell?
if (pos != rw.cellPos) {
//Record the current one if it is valid
if (!rw.invalid) _recordCell(rw);
}
rw.area = 0;
rw.cover = 0;
rw.cellPos = pos;
rw.invalid = ((unsigned)pos.y >= (unsigned)rw.cellYCnt || pos.x >= rw.cellXCnt);
}
static void _startCell(RleWorker& rw, SwPoint pos)
{
if (pos.x > rw.cellMax.x) pos.x = rw.cellMax.x;
if (pos.x < rw.cellMin.x) pos.x = rw.cellMin.x;
rw.area = 0;
rw.cover = 0;
rw.cellPos = pos - rw.cellMin;
rw.invalid = false;
_setCell(rw, pos);
}
static void _moveTo(RleWorker& rw, const SwPoint& to)
{
//record current cell, if any */
if (!rw.invalid) _recordCell(rw);
//start to a new position
_startCell(rw, TRUNC(to));
rw.pos = to;
}
static void _lineTo(RleWorker& rw, const SwPoint& to)
{
#define SW_UDIV(a, b) \
static_cast<SwCoord>(((unsigned long)(a) * (unsigned long)(b)) >> \
(sizeof(long) * CHAR_BIT - PIXEL_BITS))
auto e1 = TRUNC(rw.pos);
auto e2 = TRUNC(to);
//vertical clipping
if ((e1.y >= rw.cellMax.y && e2.y >= rw.cellMax.y) || (e1.y < rw.cellMin.y && e2.y < rw.cellMin.y)) {
rw.pos = to;
return;
}
auto diff = to - rw.pos;
auto f1 = rw.pos - SUBPIXELS(e1);
SwPoint f2;
//inside one cell
if (e1 == e2) {
;
//any horizontal line
} else if (diff.y == 0) {
e1.x = e2.x;
_setCell(rw, e1);
} else if (diff.x == 0) {
//vertical line up
if (diff.y > 0) {
do {
f2.y = ONE_PIXEL;
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * f1.x * 2;
f1.y = 0;
++e1.y;
_setCell(rw, e1);
} while(e1.y != e2.y);
//vertical line down
} else {
do {
f2.y = 0;
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * f1.x * 2;
f1.y = ONE_PIXEL;
--e1.y;
_setCell(rw, e1);
} while(e1.y != e2.y);
}
//any other line
} else {
Area prod = diff.x * f1.y - diff.y * f1.x;
/* These macros speed up repetitive divisions by replacing them
with multiplications and right shifts. */
auto dx_r = static_cast<long>(ULONG_MAX >> PIXEL_BITS) / (diff.x);
auto dy_r = static_cast<long>(ULONG_MAX >> PIXEL_BITS) / (diff.y);
/* The fundamental value `prod' determines which side and the */
/* exact coordinate where the line exits current cell. It is */
/* also easily updated when moving from one cell to the next. */
do {
auto px = diff.x * ONE_PIXEL;
auto py = diff.y * ONE_PIXEL;
//left
if (prod <= 0 && prod - px > 0) {
f2 = {0, SW_UDIV(-prod, -dx_r)};
prod -= py;
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * (f1.x + f2.x);
f1 = {ONE_PIXEL, f2.y};
--e1.x;
//up
} else if (prod - px <= 0 && prod - px + py > 0) {
prod -= px;
f2 = {SW_UDIV(-prod, dy_r), ONE_PIXEL};
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * (f1.x + f2.x);
f1 = {f2.x, 0};
++e1.y;
//right
} else if (prod - px + py <= 0 && prod + py >= 0) {
prod += py;
f2 = {ONE_PIXEL, SW_UDIV(prod, dx_r)};
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * (f1.x + f2.x);
f1 = {0, f2.y};
++e1.x;
//down
} else {
f2 = {SW_UDIV(prod, -dy_r), 0};
prod += px;
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * (f1.x + f2.x);
f1 = {f2.x, ONE_PIXEL};
--e1.y;
}
_setCell(rw, e1);
} while(e1 != e2);
}
f2 = {to.x - SUBPIXELS(e2.x), to.y - SUBPIXELS(e2.y)};
rw.cover += (f2.y - f1.y);
rw.area += (f2.y - f1.y) * (f1.x + f2.x);
rw.pos = to;
}
static void _cubicTo(RleWorker& rw, const SwPoint& ctrl1, const SwPoint& ctrl2, const SwPoint& to)
{
auto arc = rw.bezStack;
arc[0] = to;
arc[1] = ctrl2;
arc[2] = ctrl1;
arc[3] = rw.pos;
//Short-cut the arc that crosses the current band
auto min = arc[0].y;
auto max = arc[0].y;
SwCoord y;
for (auto i = 1; i < 4; ++i) {
y = arc[i].y;
if (y < min) min = y;
if (y > max) max = y;
}
if (TRUNC(min) >= rw.cellMax.y || TRUNC(max) < rw.cellMin.y) goto draw;
/* Decide whether to split or draw. See `Rapid Termination */
/* Evaluation for Recursive Subdivision of Bezier Curves' by Thomas */
/* F. Hain, at */
/* http://www.cis.southalabama.edu/~hain/general/Publications/Bezier/Camera-ready%20CISST02%202.pdf */
while (true) {
{
//diff is the P0 - P3 chord vector
auto diff = arc[3] - arc[0];
auto L = HYPOT(diff);
//avoid possible arithmetic overflow below by splitting
if (L > SHRT_MAX) goto split;
//max deviation may be as much as (s/L) * 3/4 (if Hain's v = 1)
auto sLimit = L * (ONE_PIXEL / 6);
auto diff1 = arc[1] - arc[0];
auto s = diff.y * diff1.x - diff.x * diff1.y;
if (s < 0) s = -s;
if (s > sLimit) goto split;
//s is L * the perpendicular distance from P2 to the line P0 - P3
auto diff2 = arc[2] - arc[0];
s = diff.y * diff2.x - diff.x * diff2.y;
if (s < 0) s = -s;
if (s > sLimit) goto split;
/* Split super curvy segments where the off points are so far
from the chord that the angles P0-P1-P3 or P0-P2-P3 become
acute as detected by appropriate dot products */
if (diff1.x * (diff1.x - diff.x) + diff1.y * (diff1.y - diff.y) > 0 ||
diff2.x * (diff2.x - diff.x) + diff2.y * (diff2.y - diff.y) > 0)
goto split;
//no reason to split
goto draw;
}
split:
mathSplitCubic(arc);
arc += 3;
continue;
draw:
_lineTo(rw, arc[0]);
if (arc == rw.bezStack) return;
arc -= 3;
}
}
static bool _decomposeOutline(RleWorker& rw)
{
auto outline = rw.outline;
auto first = 0; //index of first point in contour
for (uint32_t n = 0; n < outline->cntrsCnt; ++n) {
auto last = outline->cntrs[n];
auto limit = outline->pts + last;
auto start = UPSCALE(outline->pts[first]);
auto pt = outline->pts + first;
auto types = outline->types + first;
/* A contour cannot start with a cubic control point! */
if (types[0] == SW_CURVE_TYPE_CUBIC) goto invalid_outline;
_moveTo(rw, UPSCALE(outline->pts[first]));
while (pt < limit) {
++pt;
++types;
//emit a single line_to
if (types[0] == SW_CURVE_TYPE_POINT) {
_lineTo(rw, UPSCALE(*pt));
//types cubic
} else {
if (pt + 1 > limit || types[1] != SW_CURVE_TYPE_CUBIC)
goto invalid_outline;
pt += 2;
types += 2;
if (pt <= limit) {
_cubicTo(rw, UPSCALE(pt[-2]), UPSCALE(pt[-1]), UPSCALE(pt[0]));
continue;
}
_cubicTo(rw, UPSCALE(pt[-2]), UPSCALE(pt[-1]), start);
goto close;
}
}
_lineTo(rw, start);
close:
first = last + 1;
}
return true;
invalid_outline:
TVGERR("SW_ENGINE", "Invalid Outline!");
return false;
}
static int _genRle(RleWorker& rw)
{
if (setjmp(rw.jmpBuf) == 0) {
auto ret = _decomposeOutline(rw);
if (!rw.invalid) _recordCell(rw);
if (ret) return 0; //success
else return 1; //fail
}
return -1; //lack of cell memory
}
SwSpan* _intersectSpansRegion(const SwRleData *clip, const SwRleData *targetRle, SwSpan *outSpans, uint32_t spanCnt)
{
auto out = outSpans;
auto spans = targetRle->spans;
auto end = targetRle->spans + targetRle->size;
auto clipSpans = clip->spans;
auto clipEnd = clip->spans + clip->size;
while (spanCnt > 0 && spans < end) {
if (clipSpans == clipEnd) {
spans = end;
break;
}
if (clipSpans->y > spans->y) {
++spans;
continue;
}
if (spans->y != clipSpans->y) {
++clipSpans;
continue;
}
auto sx1 = spans->x;
auto sx2 = sx1 + spans->len;
auto cx1 = clipSpans->x;
auto cx2 = cx1 + clipSpans->len;
if (cx1 < sx1 && cx2 < sx1) {
++clipSpans;
continue;
}
else if (sx1 < cx1 && sx2 < cx1) {
++spans;
continue;
}
auto x = sx1 > cx1 ? sx1 : cx1;
auto len = (sx2 < cx2 ? sx2 : cx2) - x;
if (len) {
auto spansCorverage = spans->coverage;
auto clipSpansCoverage = clipSpans->coverage;
out->x = sx1 > cx1 ? sx1 : cx1;
out->len = (sx2 < cx2 ? sx2 : cx2) - out->x;
out->y = spans->y;
out->coverage = (uint8_t)(((spansCorverage * clipSpansCoverage) + 0xff) >> 8);
++out;
--spanCnt;
}
if (sx2 < cx2) ++spans;
else ++clipSpans;
}
return out;
}
SwSpan* _intersectSpansRect(const SwBBox *bbox, const SwRleData *targetRle, SwSpan *outSpans, uint32_t spanCnt)
{
auto out = outSpans;
auto spans = targetRle->spans;
auto end = targetRle->spans + targetRle->size;
auto minx = static_cast<int16_t>(bbox->min.x);
auto miny = static_cast<int16_t>(bbox->min.y);
auto maxx = minx + static_cast<int16_t>(bbox->max.x - bbox->min.x) - 1;
auto maxy = miny + static_cast<int16_t>(bbox->max.y - bbox->min.y) - 1;
while (spanCnt && spans < end) {
if (spans->y > maxy) {
spans = end;
break;
}
if (spans->y < miny || spans->x > maxx || spans->x + spans->len <= minx) {
++spans;
continue;
}
if (spans->x < minx) {
out->len = (spans->len - (minx - spans->x)) < (maxx - minx + 1) ? (spans->len - (minx - spans->x)) : (maxx - minx + 1);
out->x = minx;
}
else {
out->x = spans->x;
out->len = spans->len < (maxx - spans->x + 1) ? spans->len : (maxx - spans->x + 1);
}
if (out->len != 0) {
out->y = spans->y;
out->coverage = spans->coverage;
++out;
}
++spans;
--spanCnt;
}
return out;
}
void _replaceClipSpan(SwRleData *rle, SwSpan* clippedSpans, uint32_t size)
{
free(rle->spans);
rle->spans = clippedSpans;
rle->size = rle->alloc = size;
}
/************************************************************************/
/* External Class Implementation */
/************************************************************************/
SwRleData* rleRender(SwRleData* rle, const SwOutline* outline, const SwBBox& renderRegion, bool antiAlias)
{
constexpr auto RENDER_POOL_SIZE = 16384L;
constexpr auto BAND_SIZE = 40;
//TODO: We can preserve several static workers in advance
RleWorker rw;
Cell buffer[RENDER_POOL_SIZE / sizeof(Cell)];
//Init Cells
rw.buffer = buffer;
rw.bufferSize = sizeof(buffer);
rw.yCells = reinterpret_cast<Cell**>(buffer);
rw.cells = nullptr;
rw.maxCells = 0;
rw.cellsCnt = 0;
rw.area = 0;
rw.cover = 0;
rw.invalid = true;
rw.cellMin = renderRegion.min;
rw.cellMax = renderRegion.max;
rw.cellXCnt = rw.cellMax.x - rw.cellMin.x;
rw.cellYCnt = rw.cellMax.y - rw.cellMin.y;
rw.ySpan = 0;
rw.outline = const_cast<SwOutline*>(outline);
rw.bandSize = rw.bufferSize / (sizeof(Cell) * 8); //bandSize: 64
rw.bandShoot = 0;
rw.antiAlias = antiAlias;
if (!rle) rw.rle = reinterpret_cast<SwRleData*>(calloc(1, sizeof(SwRleData)));
else rw.rle = rle;
//Generate RLE
Band bands[BAND_SIZE];
Band* band;
/* set up vertical bands */
auto bandCnt = static_cast<int>((rw.cellMax.y - rw.cellMin.y) / rw.bandSize);
if (bandCnt == 0) bandCnt = 1;
else if (bandCnt >= BAND_SIZE) bandCnt = (BAND_SIZE - 1);
auto min = rw.cellMin.y;
auto yMax = rw.cellMax.y;
SwCoord max;
int ret;
for (int n = 0; n < bandCnt; ++n, min = max) {
max = min + rw.bandSize;
if (n == bandCnt -1 || max > yMax) max = yMax;
bands[0].min = min;
bands[0].max = max;
band = bands;
while (band >= bands) {
rw.yCells = static_cast<Cell**>(rw.buffer);
rw.yCnt = band->max - band->min;
int cellStart = sizeof(Cell*) * (int)rw.yCnt;
int cellMod = cellStart % sizeof(Cell);
if (cellMod > 0) cellStart += sizeof(Cell) - cellMod;
auto cellEnd = rw.bufferSize;
cellEnd -= cellEnd % sizeof(Cell);
auto cellsMax = reinterpret_cast<Cell*>((char*)rw.buffer + cellEnd);
rw.cells = reinterpret_cast<Cell*>((char*)rw.buffer + cellStart);
if (rw.cells >= cellsMax) goto reduce_bands;
rw.maxCells = cellsMax - rw.cells;
if (rw.maxCells < 2) goto reduce_bands;
for (int y = 0; y < rw.yCnt; ++y)
rw.yCells[y] = nullptr;
rw.cellsCnt = 0;
rw.invalid = true;
rw.cellMin.y = band->min;
rw.cellMax.y = band->max;
rw.cellYCnt = band->max - band->min;
ret = _genRle(rw);
if (ret == 0) {
_sweep(rw);
--band;
continue;
} else if (ret == 1) {
goto error;
}
reduce_bands:
/* render pool overflow: we will reduce the render band by half */
auto bottom = band->min;
auto top = band->max;
auto middle = bottom + ((top - bottom) >> 1);
/* This is too complex for a single scanline; there must
be some problems */
if (middle == bottom) goto error;
if (bottom - top >= rw.bandSize) ++rw.bandShoot;
band[1].min = bottom;
band[1].max = middle;
band[0].min = middle;
band[0].max = top;
++band;
}
}
if (rw.bandShoot > 8 && rw.bandSize > 16)
rw.bandSize = (rw.bandSize >> 1);
return rw.rle;
error:
free(rw.rle);
rw.rle = nullptr;
return nullptr;
}
void rleReset(SwRleData* rle)
{
if (!rle) return;
rle->size = 0;
}
void rleFree(SwRleData* rle)
{
if (!rle) return;
if (rle->spans) free(rle->spans);
free(rle);
}
void rleClipPath(SwRleData *rle, const SwRleData *clip)
{
if (rle->size == 0 || clip->size == 0) return;
auto spanCnt = rle->size > clip->size ? rle->size : clip->size;
auto spans = static_cast<SwSpan*>(malloc(sizeof(SwSpan) * (spanCnt)));
if (!spans) return;
auto spansEnd = _intersectSpansRegion(clip, rle, spans, spanCnt);
_replaceClipSpan(rle, spans, spansEnd - spans);
TVGLOG("SW_ENGINE", "Using ClipPath!");
}
void rleClipRect(SwRleData *rle, const SwBBox* clip)
{
if (rle->size == 0) return;
auto spans = static_cast<SwSpan*>(malloc(sizeof(SwSpan) * (rle->size)));
if (!spans) return;
auto spansEnd = _intersectSpansRect(clip, rle, spans, rle->size);
_replaceClipSpan(rle, spans, spansEnd - spans);
TVGLOG("SW_ENGINE", "Using ClipRect!");
}
|