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
|
<html>
<head>
<div style="height:0">
<div id="cubicOp25i">
debugShowActiveSpans id=1 (0,1 2,4 5,0 3,2) t=0.466666667 (2.84355545,1.9478519) tEnd=0.605057566 other=2 otherT=0.0521481481 otherIndex=1 windSum=-1 windValue=1 oppValue=0
debugShowActiveSpans id=2 (3,2 0,1) t=0.0521481481 (2.84355545,1.9478519) tEnd=0.377811276 other=1 otherT=0.466666667 otherIndex=2 windSum=1 windValue=1 oppValue=0
</div>
<div id="cubicOp19i">
debugShowActiveSpans id=3 (1,2 2,6 2,0 1,0) t=0 (1,2) tEnd=0.578464835 other=4 otherT=1 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=3 (1,2 2,6 2,0 1,0) t=0.578464835 (1.73152983,2) tEnd=0.692069746 other=2 otherT=0.711411698 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=3 (1,2 2,6 2,0 1,0) t=0.692069746 (1.63932765,1.25154662) tEnd=1 other=1 otherT=0.522705723 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=4 (1,0 1,2) t=0 (1,0) tEnd=0.637627564 other=3 otherT=1 otherIndex=4 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=4 (1,0 1,2) t=0.637627564 (1,1.27525508) tEnd=1 other=1 otherT=0.40824829 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,2 0,0.5 6,2) t=0 (0,2) tEnd=0.40824829 other=2 otherT=1 otherIndex=4 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,2 0,0.5 6,2) t=0.40824829 (1,1.27525508) tEnd=0.522705723 other=4 otherT=0.637627564 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,2 0,0.5 6,2) t=0.522705723 (1.63932765,1.25154662) tEnd=1 other=3 otherT=0.692069746 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (6,2 0,2) t=0 (6,2) tEnd=0.711411698 other=1 otherT=1 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (6,2 0,2) t=0.711411698 (1.73152983,2) tEnd=0.833333333 other=3 otherT=0.578464835 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (6,2 0,2) t=0.833333333 (1,2) tEnd=1 other=3 otherT=0 otherIndex=1 windSum=? windValue=1 oppValue=0
</div>
<div id="cubicOp28u">
debugShowActiveSpans id=3 (0,6 2,3 1,0 4,1) t=0 (0,6) tEnd=0.473902244 other=4 otherT=1 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=3 (0,6 2,3 1,0 4,1) t=0.473902244 (1.5671773,2.16060209) tEnd=0.57224743 other=1 otherT=0.287206281 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=3 (0,6 2,3 1,0 4,1) t=0.57224743 (1.79802597,1.59934199) tEnd=1 other=2 otherT=0.400657994 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=4 (4,1 0,6) t=0 (4,1) tEnd=0.13678207 other=3 otherT=1 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=4 (4,1 0,6) t=0.13678207 (3.4528718,1.68391037) tEnd=0.145041093 other=1 otherT=0.583645693 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=4 (4,1 0,6) t=0.145041093 (3.41983557,1.72520542) tEnd=1 other=1 otherT=0.945703361 otherIndex=6 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0 (0,1) tEnd=0.287206281 other=2 otherT=1 otherIndex=3 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.287206281 (1.5671773,2.16060209) tEnd=0.470588235 other=3 otherT=0.473902244 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.470588235 (2.81864452,1.93954813) tEnd=0.583645693 other=2 otherT=0.0604518624 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.583645693 (3.4528718,1.68391037) tEnd=0.614942976 other=4 otherT=0.13678207 otherIndex=1 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.614942976 (3.59216309,1.61630249) tEnd=0.916307024 other=1 otherT=0.916307024 otherIndex=5 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.916307024 (3.59216309,1.61630249) tEnd=0.945703361 other=1 otherT=0.614942976 otherIndex=4 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=1 (0,1 1,4 6,0 3,2) t=0.945703361 (3.41983557,1.72520542) tEnd=1 other=4 otherT=0.145041093 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (3,2 0,1) t=0 (3,2) tEnd=0.0604518624 other=1 otherT=1 otherIndex=7 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (3,2 0,1) t=0.0604518624 (2.81864452,1.93954813) tEnd=0.400657994 other=1 otherT=0.470588235 otherIndex=2 windSum=? windValue=1 oppValue=0
debugShowActiveSpans id=2 (3,2 0,1) t=0.400657994 (1.79802597,1.59934199) tEnd=1 other=3 otherT=0.57224743 otherIndex=2 windSum=? windValue=1 oppValue=0
</div>
</div>
<script type="text/javascript">
var testDivs = [
cubicOp28u,
cubicOp25i,
cubicOp19i,
];
var decimal_places = 3; // make this 3 to show more precision
var tests = [];
var testTitles = [];
var testIndex = 0;
var ctx;
var xmin;
var ymin;
var scale;
var mouseX, mouseY;
var srcLeft, srcTop;
var srcWidth, srcHeight;
var screenWidth, screenHeight;
var drawnPts, drawnLines, drawnQuads, drawnCubics, deferredLines, deferredQuads, deferredCubics;
var ptLabels = true;
var digit_mode = false;
var index_mode = true;
var index_bits = -1;
var debug_xy = false;
var info_mode = false;
var intersect_mode = false;
var sequence = -1;
var SPAN_ID = 1;
var SPAN_X1 = 2;
var SPAN_Y1 = 3;
var SPAN_X2 = 4;
var SPAN_Y2 = 5;
var SPAN_L_T = 6;
var SPAN_L_TX = 7;
var SPAN_L_TY = 8;
var SPAN_L_TEND = 9;
var SPAN_L_OTHER = 10;
var SPAN_L_OTHERT = 11;
var SPAN_L_OTHERI = 12;
var SPAN_L_SUM = 13;
var SPAN_L_VAL = 14;
var SPAN_L_OPP = 15;
var SPAN_X3 = 6;
var SPAN_Y3 = 7;
var SPAN_Q_T = 8;
var SPAN_Q_TX = 9;
var SPAN_Q_TY = 10;
var SPAN_Q_TEND = 11;
var SPAN_Q_OTHER = 12;
var SPAN_Q_OTHERT = 13;
var SPAN_Q_OTHERI = 14;
var SPAN_Q_SUM = 15;
var SPAN_Q_VAL = 16;
var SPAN_Q_OPP = 17;
var SPAN_X4 = 8;
var SPAN_Y4 = 9;
var SPAN_C_T = 10;
var SPAN_C_TX = 11;
var SPAN_C_TY = 12;
var SPAN_C_TEND = 13;
var SPAN_C_OTHER = 14;
var SPAN_C_OTHERT = 15;
var SPAN_C_OTHERI = 16;
var SPAN_C_SUM = 17;
var SPAN_C_VAL = 18;
var SPAN_C_OPP = 19;
var ACTIVE_LINE_SPAN = 1;
var ACTIVE_QUAD_SPAN = 2;
var ACTIVE_CUBIC_SPAN = 3;
var INTERSECT_QUAD_LINE = 4;
var INTERSECT_QUAD_LINE_2 = 5;
var INTERSECT_QUAD_LINE_NO = 6;
var INTERSECT_QUAD = 7;
var INTERSECT_QUAD_2 = 8;
var INTERSECT_QUAD_NO = 9;
function strs_to_nums(strs) {
var result = [];
for (var idx in strs) {
var str = strs[idx];
var num = parseFloat(str);
if (isNaN(num)) {
result.push(str);
} else {
result.push(num);
}
}
return result;
}
function construct_regexp(pattern) {
var escape = pattern.replace(/[-/\\^$*+?.()|[\]{}]/g, '\\$&');
escape = escape.replace(/PT_VAL/g, "(\\d+\\.?\\d*),(\\d+\\.?\\d*)");
escape = escape.replace(/T_VAL/g, "(\\d+\\.?\\d*e?-?\\d*)");
escape = escape.replace(/IDX/g, "(\\d+)");
escape = escape.replace(/OPT/g, "(\\?|-?\\d+)");
return new RegExp(escape, 'i');
}
function parse_debugShowActiveSpans(test, title) {
var re_cubic = construct_regexp(" id=IDX (PT_VAL PT_VAL PT_VAL PT_VAL) t=T_VAL (PT_VAL) tEnd=T_VAL other=IDX otherT=T_VAL otherIndex=IDX windSum=OPT windValue=IDX oppValue=IDX");
var re_quad = construct_regexp(" id=IDX (PT_VAL PT_VAL PT_VAL) t=T_VAL (PT_VAL) tEnd=T_VAL other=IDX otherT=T_VAL otherIndex=IDX windSum=OPT windValue=IDX oppValue=IDX");
var re_line = construct_regexp(" id=IDX (PT_VAL PT_VAL) t=T_VAL (PT_VAL) tEnd=T_VAL other=IDX otherT=T_VAL otherIndex=IDX windSum=OPT windValue=IDX oppValue=IDX");
var strs = test.split("debugShowActiveSpans");
if (strs.length == 1)
return;
var spans = [];
for (var s in strs) {
var str = strs[s];
if (str == "\n") {
continue;
}
if (re_line.test(str)) {
var lineStrs = re_line.exec(str);
var line = strs_to_nums(lineStrs);
spans.push(ACTIVE_LINE_SPAN);
spans.push(line);
} else if (re_quad.test(str)) {
var quadStrs = re_quad.exec(str);
var quad = strs_to_nums(quadStrs);
spans.push(ACTIVE_QUAD_SPAN);
spans.push(quad);
} else if (re_cubic.test(str)) {
var cubicStrs = re_cubic.exec(str);
var cubic = strs_to_nums(cubicStrs);
spans.push(ACTIVE_CUBIC_SPAN);
spans.push(cubic);
}
}
if (spans.length >= 1) {
tests.push(spans);
testTitles.push(title);
}
}
function filter_str_by(id, str, regex, array) {
if (regex.test(str)) {
var strs = regex.exec(str);
var result = strs_to_nums(strs);
array.push(id);
array.push(result);
}
}
// FIXME: add cubic support
function parse_intersections(test, title) {
var re_quad_line = construct_regexp(" wtTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL) wnTs[0]=T_VAL (PT_VAL PT_VAL) (PT_VAL)");
var re_quad_line_2 = construct_regexp(" wtTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL) wtTs[1]=T_VAL (PT_VAL) wnTs[0]=T_VAL (PT_VAL PT_VAL) (PT_VAL) wnTs[1]=T_VAL (PT_VAL)");
var re_quad_line_no_intersect = construct_regexp(" no intersect (PT_VAL PT_VAL PT_VAL) (PT_VAL PT_VAL)");
var re_quad = construct_regexp(" wtTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL) wnTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL)");
var re_quad_2 = construct_regexp(" wtTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL) wtTs[1]=T_VAL wnTs[0]=T_VAL (PT_VAL PT_VAL PT_VAL) (PT_VAL) wnTs[1]=T_VAL");
var re_quad_no_intersect = construct_regexp(" no intersect (PT_VAL PT_VAL PT_VAL) (PT_VAL PT_VAL PT_VAL)");
var strs = test.split(/debugShow[A-Za-z]+Intersection/);
if (strs.length == 1)
return;
var spans = [];
for (var s in strs) {
var str = strs[s];
if (str == "\n") {
continue;
}
filter_str_by(INTERSECT_QUAD_LINE, str, re_quad_line, spans);
filter_str_by(INTERSECT_QUAD_LINE_2, str, re_quad_line_2, spans);
filter_str_by(INTERSECT_QUAD_LINE_NO, str, re_quad_line_no_intersect, spans);
filter_str_by(INTERSECT_QUAD, str, re_quad, spans);
filter_str_by(INTERSECT_QUAD_2, str, re_quad_2, spans);
filter_str_by(INTERSECT_QUAD_NO, str, re_quad_no_intersect, spans);
}
if (spans.length >= 1) {
tests.push(spans);
testTitles.push(title);
}
}
function init(test) {
var canvas = document.getElementById('canvas');
if (!canvas.getContext) return;
screenWidth = canvas.width = window.innerWidth - 20;
screenHeight = canvas.height = window.innerHeight - 20;
ctx = canvas.getContext('2d');
xmin = Infinity;
var xmax = -Infinity;
ymin = Infinity;
var ymax = -Infinity;
var scanType = -1;
for (var scansStr in test) {
var scans = parseInt(scansStr);
var scan = test[scans];
if (scanType == -1) {
scanType = scan;
continue;
}
if (scanType == ACTIVE_LINE_SPAN || scanType == ACTIVE_QUAD_SPAN
|| scanType == ACTIVE_CUBIC_SPAN) {
var last = scanType == ACTIVE_CUBIC_SPAN ? SPAN_X4
: scanType == ACTIVE_QUAD_SPAN ? SPAN_X3 : SPAN_X2;
for (var idx = SPAN_X1; idx <= last; idx += 2) {
xmin = Math.min(xmin, scan[idx]);
xmax = Math.max(xmax, scan[idx]);
ymin = Math.min(ymin, scan[idx + 1]);
ymax = Math.max(ymax, scan[idx + 1]);
}
} else {
var start = 1;
if (scanType != INTERSECT_QUAD_LINE_NO && scanType != INTERSECT_QUAD_NO) {
start = 2;
}
for (var idx = start; idx < start + 6; idx += 2) {
xmin = Math.min(xmin, scan[idx]);
xmax = Math.max(xmax, scan[idx]);
ymin = Math.min(ymin, scan[idx + 1]);
ymax = Math.max(ymax, scan[idx + 1]);
}
start = start + 6;
if (scanType == INTERSECT_QUAD_LINE || scanType == INTERSECT_QUAD) {
start += 3;
}
if (scanType == INTERSECT_QUAD_LINE_2) {
start += 6;
}
if (scanType == INTERSECT_QUAD_2) {
start += 4;
}
var end = start + 4;
if (scanType == INTERSECT_QUAD || scanType == INTERSECT_QUAD_2 || scanType == INTERSECT_QUAD_NO) {
end += 2;
}
for (var idx = start; idx < end; idx += 2) {
xmin = Math.min(xmin, scan[idx]);
xmax = Math.max(xmax, scan[idx]);
ymin = Math.min(ymin, scan[idx + 1]);
ymax = Math.max(ymax, scan[idx + 1]);
}
}
scanType = -1;
}
srcWidth = xmax - xmin;
srcHeight = ymax - ymin;
var hscale = ctx.canvas.width / srcWidth;
var vscale = ctx.canvas.height / srcHeight;
var minScale = Math.min(hscale, vscale);
scale = minScale;
srcLeft = xmin;
srcTop = ymin;
}
function drawPoint(px, py) {
for (var pts = 0; pts < drawnPts.length; pts += 2) {
var x = drawnPts[pts];
var y = drawnPts[pts + 1];
if (px == x && py == y) {
return;
}
}
drawnPts.push(px);
drawnPts.push(py);
var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places);
var _px = (px - srcLeft)* scale;
var _py = (py - srcTop) * scale;
ctx.beginPath();
ctx.arc(_px, _py, 3, 0, Math.PI*2, true);
ctx.closePath();
ctx.fill();
ctx.fillText(label, _px + 5, _py);
}
function drawLine(x1, y1, x2, y2, selected) {
for (var pts = 0; pts < drawnLines.length; pts += 4) {
if (x1 == drawnLines[pts] && y1 == drawnLines[pts + 1]) {
return;
}
if (x2 == drawnLines[pts + 2] && x2 == drawnLines[pts + 3]) {
return;
}
}
if (selected) {
drawnLines.push(x1);
drawnLines.push(y1);
drawnLines.push(x2);
drawnLines.push(y2);
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.lineTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale);
ctx.stroke();
return;
}
deferredLines.push(x1);
deferredLines.push(y1);
deferredLines.push(x2);
deferredLines.push(y2);
}
function drawLinePartial(x1, y1, x2, y2, t1, t2) {
var dx = x1 - x2;
var dy = y1 - y2;
var ax = x1 - t1 * dx;
var ay = y1 - t1 * dy;
var bx = x1 - t2 * dx;
var by = y1 - t2 * dy;
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.lineTo((bx - srcLeft) * scale,
(by - srcTop) * scale);
ctx.stroke();
}
function drawQuad(x1, y1, x2, y2, x3, y3, selected) {
for (var pts = 0; pts < drawnQuads.length; pts += 6) {
if (x1 == drawnQuads[pts] && y1 == drawnQuads[pts + 1]) {
return;
}
if (x2 == drawnQuads[pts + 2] && x2 == drawnQuads[pts + 3]) {
return;
}
if (x2 == drawnQuads[pts + 4] && x2 == drawnQuads[pts + 5]) {
return;
}
}
if (selected) {
drawnQuads.push(x1);
drawnQuads.push(y1);
drawnQuads.push(x2);
drawnQuads.push(y2);
drawnQuads.push(x3);
drawnQuads.push(y3);
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.quadraticCurveTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale,
(x3 - srcLeft) * scale,
(y3 - srcTop) * scale);
ctx.stroke();
return;
}
deferredQuads.push(x1);
deferredQuads.push(y1);
deferredQuads.push(x2);
deferredQuads.push(y2);
deferredQuads.push(x3);
deferredQuads.push(y3);
}
function interp(A, B, t) {
return A + (B - A) * t;
}
function interp_quad_coords(x1, x2, x3, t)
{
var ab = interp(x1, x2, t);
var bc = interp(x2, x3, t);
var abc = interp(ab, bc, t);
return abc;
}
function drawQuadPartial(x1, y1, x2, y2, x3, y3, t1, t2) {
var ax = interp_quad_coords(x1, x2, x3, t1);
var ay = interp_quad_coords(y1, y2, y3, t1);
var dx = interp_quad_coords(x1, x2, x3, (t1 + t2) / 2);
var dy = interp_quad_coords(y1, y2, y3, (t1 + t2) / 2);
var cx = interp_quad_coords(x1, x2, x3, t2);
var cy = interp_quad_coords(y1, y2, y3, t2);
var bx = 2*dx - (ax + cx)/2;
var by = 2*dy - (ay + cy)/2;
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.quadraticCurveTo((bx - srcLeft) * scale,
(by - srcTop) * scale,
(cx - srcLeft) * scale,
(cy - srcTop) * scale);
ctx.stroke();
}
function drawCubic(x1, y1, x2, y2, x3, y3, x4, y4, selected) {
for (var pts = 0; pts < drawnCubics.length; pts += 8) {
if (x1 == drawnCubics[pts] && y1 == drawnCubics[pts + 1]) {
return;
}
if (x2 == drawnCubics[pts + 2] && x2 == drawnCubics[pts + 3]) {
return;
}
if (x2 == drawnCubics[pts + 4] && x2 == drawnCubics[pts + 5]) {
return;
}
if (x2 == drawnCubics[pts + 6] && x2 == drawnCubics[pts + 7]) {
return;
}
}
if (selected) {
drawnCubics.push(x1);
drawnCubics.push(y1);
drawnCubics.push(x2);
drawnCubics.push(y2);
drawnCubics.push(x3);
drawnCubics.push(y3);
drawnCubics.push(x4);
drawnCubics.push(y4);
ctx.beginPath();
ctx.moveTo((x1 - srcLeft) * scale,
(y1 - srcTop) * scale);
ctx.bezierCurveTo((x2 - srcLeft) * scale,
(y2 - srcTop) * scale,
(x3 - srcLeft) * scale,
(y3 - srcTop) * scale,
(x4 - srcLeft) * scale,
(y4 - srcTop) * scale);
ctx.stroke();
return;
}
deferredCubics.push(x1);
deferredCubics.push(y1);
deferredCubics.push(x2);
deferredCubics.push(y2);
deferredCubics.push(x3);
deferredCubics.push(y3);
deferredCubics.push(x4);
deferredCubics.push(y4);
}
function interp_cubic_coords(x1, x2, x3, x4, t)
{
var ab = interp(x1, x2, t);
var bc = interp(x2, x3, t);
var cd = interp(x3, x4, t);
var abc = interp(ab, bc, t);
var bcd = interp(bc, cd, t);
var abcd = interp(abc, bcd, t);
return abcd;
}
function drawCubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2) {
var ax = interp_cubic_coords(x1, x2, x3, x4, t1);
var ay = interp_cubic_coords(y1, y2, y3, y4, t1);
var ex = interp_cubic_coords(x1, x2, x3, x4, (t1*2+t2)/3);
var ey = interp_cubic_coords(y1, y2, y3, y4, (t1*2+t2)/3);
var fx = interp_cubic_coords(x1, x2, x3, x4, (t1+t2*2)/3);
var fy = interp_cubic_coords(y1, y2, y3, y4, (t1+t2*2)/3);
var dx = interp_cubic_coords(x1, x2, x3, x4, t2);
var dy = interp_cubic_coords(y1, y2, y3, y4, t2);
var mx = ex * 27 - ax * 8 - dx;
var my = ey * 27 - ay * 8 - dy;
var nx = fx * 27 - ax - dx * 8;
var ny = fy * 27 - ay - dy * 8;
var bx = (mx * 2 - nx) / 18;
var by = (my * 2 - ny) / 18;
var cx = (nx * 2 - mx) / 18;
var cy = (ny * 2 - my) / 18;
ctx.beginPath();
ctx.moveTo((ax - srcLeft) * scale,
(ay - srcTop) * scale);
ctx.bezierCurveTo((bx - srcLeft) * scale,
(by - srcTop) * scale,
(cx - srcLeft) * scale,
(cy - srcTop) * scale,
(dx - srcLeft) * scale,
(dy - srcTop) * scale,
(ex - srcLeft) * scale,
(ey - srcTop) * scale);
ctx.stroke();
}
function drawPartial(test) {
ctx.lineWidth = 3;
ctx.strokeStyle = "rgba(0,0,255, 0.3)";
var scanType = -1;
var partIndex = 0;
for (var scansStr in test) {
var scans = parseInt(scansStr);
var scan = test[scans];
if (scanType == -1) {
scanType = scan;
continue;
}
partIndex++;
var hasId = scanType == ACTIVE_LINE_SPAN || scanType == ACTIVE_QUAD_SPAN
|| scanType == ACTIVE_CUBIC_SPAN ? SPAN_ID : -1;
if (hasId < 0) {
continue;
}
var types = [scanType == ACTIVE_LINE_SPAN ? 0 : scanType == ACTIVE_QUAD_SPAN ? 1 : 2];
var x1 = scan[SPAN_X1];
var y1 = scan[SPAN_Y1];
var x2 = scan[SPAN_X2];
var y2 = scan[SPAN_Y2];
var x3, y3, x3, y4, t1, t2;
switch(scanType) {
case ACTIVE_LINE_SPAN:
t1 = scan[SPAN_L_T];
t2 = scan[SPAN_L_TEND];
drawLinePartial(x1, y1, x2, y2, t1, t2);
break;
case ACTIVE_QUAD_SPAN:
x3 = scan[SPAN_X3];
y3 = scan[SPAN_Y3];
t1 = scan[SPAN_Q_T];
t2 = scan[SPAN_Q_TEND];
drawQuadPartial(x1, y1, x2, y2, x3, y3, t1, t2);
break;
case ACTIVE_CUBIC_SPAN:
x3 = scan[SPAN_X3];
y3 = scan[SPAN_Y3];
x4 = scan[SPAN_X4];
y4 = scan[SPAN_Y4];
t1 = scan[SPAN_C_T];
t2 = scan[SPAN_C_TEND];
drawCubicPartial(x1, y1, x2, y2, x3, y3, x4, y4, t1, t2);
break;
}
scanType = -1;
}
}
function drawDeferred() {
for (var pts = 0; pts < deferredCubics.length; pts += 8) {
drawCubic(deferredCubics[pts], deferredCubics[pts + 1],
deferredCubics[pts + 2], deferredCubics[pts + 3],
deferredCubics[pts + 4], deferredCubics[pts + 5],
deferredCubics[pts + 6], deferredCubics[pts + 7], true);
}
for (var pts = 0; pts < deferredQuads.length; pts += 6) {
drawQuad(deferredQuads[pts], deferredQuads[pts + 1],
deferredQuads[pts + 2], deferredQuads[pts + 3],
deferredQuads[pts + 4], deferredQuads[pts + 5], true);
}
for (var pts = 0; pts < deferredLines.length; pts += 4) {
drawLine(deferredLines[pts], deferredLines[pts + 1],
deferredLines[pts + 2], deferredLines[pts + 3], true);
}
}
function draw(test, title) {
ctx.fillStyle = "rgba(0,0,0, 0.1)";
ctx.font = "normal 50px Arial";
ctx.fillText(title, 50, 50);
ctx.font = "normal 10px Arial";
ctx.lineWidth = "1.001"; "0.999";
var curId = -1;
var firstIdx;
var lastIdx;
var index_tst = -1;
drawnPts = [];
drawnLines = [];
drawnQuads = [];
drawnCubics = [];
deferredLines = [];
deferredQuads = [];
deferredCubics = [];
var scanType = -1;
var partIndex = 0;
for (var scansStr in test) {
var scans = parseInt(scansStr);
var scan = test[scans];
if (scanType == -1) {
scanType = scan;
continue;
}
partIndex++;
var hasId = scanType == ACTIVE_LINE_SPAN || scanType == ACTIVE_QUAD_SPAN
|| scanType == ACTIVE_CUBIC_SPAN ? SPAN_ID : -1;
if (hasId >= 0 && curId != scan[hasId]) {
curId = scan[hasId];
firstIdx = lastIdx = partIndex;
index_tst++;
var nextIdx = lastIdx + 1;
while (nextIdx * 2 < test.length && test[nextIdx * 2][hasId] == curId) {
lastIdx = nextIdx++;
}
} else if (hasId < 0) {
firstIdx = lastIdx = partIndex;
index_tst++;
}
var seq = sequence % (test.length / 2);
var selected = sequence >= 0 ? seq == partIndex
: (index_bits & (1 << index_tst)) != 0 && partIndex == firstIdx;
var skippable = (sequence >= 0 && seq >= firstIdx && seq <= lastIdx)
|| partIndex != firstIdx;
if (skippable && !selected) {
scanType = -1;
continue;
}
var types = [scanType == ACTIVE_LINE_SPAN ? 0 : scanType == ACTIVE_QUAD_SPAN ? 1 : 2];
var pts = [];
if (scanType == ACTIVE_LINE_SPAN || scanType == ACTIVE_QUAD_SPAN || scanType == ACTIVE_CUBIC_SPAN) {
pts.push(SPAN_X1);
} else {
pts.push(scanType != INTERSECT_QUAD_NO && scanType != INTERSECT_QUAD_LINE_NO ? 2 : 1);
types.push(scanType == INTERSECT_QUAD_NO || scanType == INTERSECT_QUAD || scanType == INTERSECT_QUAD_2 ? 1 : 0);
pts.push(scanType == INTERSECT_QUAD_LINE || scanType == INTERSECT_QUAD ? 11
: scanType == INTERSECT_QUAD_LINE_2 ? 14 : scanType == INTERSECT_QUAD_2 ? 12 : 7);
}
ctx.strokeStyle = "red";
for (var typeIndex = 0; typeIndex < types.length; ++typeIndex) {
var type = types[typeIndex];
var index = pts[typeIndex];
if (type == 2) {
drawCubic(scan[index + 0], scan[index + 1], scan[index + 2], scan[index + 3],
scan[index + 4], scan[index + 5], scan[index + 6], scan[index + 7],
selected);
} else if (type == 1) {
drawQuad(scan[index + 0], scan[index + 1], scan[index + 2], scan[index + 3],
scan[index + 4], scan[index + 5], selected);
} else {
drawLine(scan[index + 0], scan[index + 1], scan[index + 2], scan[index + 3],
selected);
}
}
if (debug_xy && selected) {
var debugText = "";
for (var typeIndex = 0; typeIndex < types.length; ++typeIndex) {
var type = types[typeIndex];
var index = pts[typeIndex];
for (var idx = pts[typeIndex]; idx < pts[typeIndex] + (type + 1) * 2; idx += 2) {
var screenX = (scan[idx] - srcLeft) * scale;
var screenY = (scan[idx + 1] - srcTop) * scale;
debugText += screenX.toFixed(decimal_places) + ", ";
debugText += screenY.toFixed(decimal_places) + " ";
}
}
ctx.fillStyle="blue";
ctx.fillText(debugText, 50, partIndex * 50 + 100);
}
if (ptLabels && selected) {
ctx.fillStyle="blue";
for (var typeIndex = 0; typeIndex < types.length; ++typeIndex) {
var type = types[typeIndex];
var index = pts[typeIndex];
for (var idx = pts[typeIndex]; idx < pts[typeIndex] + (type + 1) * 2; idx += 2) {
drawPoint(scan[idx], scan[idx + 1]);
}
}
}
var infoText = "";
if (info_mode && selected) {
infoText += hasId >= 0 ? "id=" + scan[hasId] : partIndex;
}
if (intersect_mode && selected) {
if (scanType == ACTIVE_CUBIC_SPAN) {
infoText += " t=" + scan[SPAN_C_T];
} else if (scanType == ACTIVE_QUAD_SPAN) {
infoText += " t=" + scan[SPAN_Q_T];
} else if (scanType == ACTIVE_LINE_SPAN) {
infoText += " t=" + scan[SPAN_L_T];
} else if (scanType == INTERSECT_QUAD_LINE ||scanType == INTERSECT_QUAD) {
infoText += " t0[0]=" + scan[1] + " t1[0]=" + scan[10];
} else if (scanType == INTERSECT_QUAD_LINE_2 || scanType == INTERSECT_QUAD_2) {
infoText += " t0[0]=" + scan[1] + " t0[1]=" + scan[10] + " t1[0]=" + scan[13];
if (scanType == INTERSECT_QUAD_LINE_2) {
infoText += " t1[1]=" + scan[18];
} else {
infoText += " t0[1]=" + scan[20];
}
}
}
if (infoText.length > 0) {
ctx.fillStyle="green";
ctx.fillText(infoText, 10, (hasId >= 0 && sequence >= 0
? hasId : partIndex) * 30 + 50);
}
if (intersect_mode && selected) {
ctx.fillStyle="rgba(50,100,200, 1.0)";
if (scanType == ACTIVE_CUBIC_SPAN) {
drawPoint(scan[SPAN_C_TX], scan[SPAN_C_TY]);
} else if (scanType == ACTIVE_QUAD_SPAN) {
drawPoint(scan[SPAN_Q_TX], scan[SPAN_Q_TY]);
} else if (scanType == ACTIVE_LINE_SPAN) {
drawPoint(scan[SPAN_L_TX], scan[SPAN_L_TY]);
} else if (scanType != INTERSECT_QUAD_NO && scanType != INTERSECT_QUAD_LINE_NO) {
drawPoint(scan[8], scan[9]);
if (scanType == INTERSECT_QUAD_LINE_2 || scanType == INTERSECT_QUAD_2) {
drawPoint(scan[11], scan[12]);
}
}
}
ctx.strokeStyle = "rgba(0,0,0, 0.2)";
scanType = -1;
}
drawDeferred();
drawPartial(test);
}
function drawTop() {
init(tests[testIndex]);
redraw();
}
function redraw() {
ctx.beginPath();
ctx.rect(0, 0, ctx.canvas.width, ctx.canvas.height);
ctx.fillStyle="white";
ctx.fill();
draw(tests[testIndex], testTitles[testIndex]);
}
function doKeyPress(evt) {
var char = String.fromCharCode(evt.charCode);
switch (char) {
case '0':
case '1':
case '2':
case '3':
case '4':
case '5':
case '6':
case '7':
case '8':
case '9':
if (digit_mode) {
decimal_places = char - '0';
} else if (index_mode) {
index_bits ^= 1 << (char - '0');
}
redraw();
break;
case 'd':
digit_mode = true;
index_mode = false;
break;
case 'f':
info_mode ^= true;
redraw();
break;
case 'i':
digit_mode = false;
if (sequence >= 0) {
sequence = -1;
index_mode = false;
} else {
index_mode ^= true;
}
if (index_mode) {
index_bits = 0;
} else {
index_bits = -1;
}
redraw();
break;
case 'N':
testIndex += 9;
case 'n':
if (++testIndex >= tests.length)
testIndex = 0;
drawTop();
break;
case 'P':
testIndex -= 9;
case 'p':
if (--testIndex < 0)
testIndex = tests.length - 1;
drawTop();
break;
case 's':
sequence++;
redraw();
break;
case 'S':
sequence--;
if (sequence < 0) {
sequence = 0;
}
redraw();
break;
case 't':
intersect_mode ^= true;
redraw();
break;
case 'x':
ptLabels ^= true;
redraw();
break;
case 'y':
debug_xy ^= true;
redraw();
break;
case '-':
scale /= 2;
calcLeftTop();
redraw();
break;
case '=':
case '+':
scale *= 2;
calcLeftTop();
redraw();
break;
}
}
function calcXY() {
var e = window.event;
var tgt = e.target || e.srcElement;
var left = tgt.offsetLeft;
var top = tgt.offsetTop;
var unit = scale;
mouseX = (e.clientX - left) / scale + srcLeft;
mouseY = (e.clientY - top) / scale + srcTop;
}
function calcLeftTop() {
srcLeft = mouseX - screenWidth / 2 / scale;
srcTop = mouseY - screenHeight / 2 / scale;
}
function handleMouseClick() {
calcXY();
calcLeftTop();
redraw();
}
function handleMouseOver() {
calcXY();
var num = mouseX.toFixed(decimal_places) + ", " + mouseY.toFixed(decimal_places);
ctx.beginPath();
ctx.rect(300,100,200,10);
ctx.fillStyle="white";
ctx.fill();
ctx.fillStyle="black";
ctx.fillText(num, 300, 108);
}
function start() {
for (i = 0; i < testDivs.length; ++i) {
var title = testDivs[i].id.toString();
var str = testDivs[i].firstChild.data;
parse_debugShowActiveSpans(str, title);
parse_intersections(str, title);
}
drawTop();
window.addEventListener('keypress', doKeyPress, true);
window.onresize = function() {
drawTop();
}
}
</script>
</head>
<body onLoad="start();">
<canvas id="canvas" width="750" height="500"
onmousemove="handleMouseOver()"
onclick="handleMouseClick()"
></canvas >
</body>
</html>
|
