aboutsummaryrefslogtreecommitdiffhomepage
path: root/experimental/Intersection/bc.htm
blob: 15601def03d5c0cc8865423a506d7e7f7d454aaf (plain)
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
<!-- bezier clip visualizer -->
<html>
<head>
<div style="height:0">

<div id="clip1">
(gdb) p smaller
$2 = {{
    x = 0.91292418204644155, 
    y = 0.41931201426549197
  }, {
    x = 0.70491388044579517, 
    y = 0.64754305977710236
  }, {
    x = 0, 
    y = 1
  }}
(gdb) p larger
$3 = {{
    x = 0.21875, 
    y = 0.765625
  }, {
    x = 0.125, 
    y = 0.875
  }, {
    x = 0, 
    y = 1
  }}
(gdb) p distance2y
$1 = {{
    x = 0, 
    y = 0.080355482722450078
  }, {
    x = 0.5, 
    y = 0.038383741101172597
  }, {
    x = 1, 
    y = 0
  }}
</div>

<div id="quad21a">
bezier_clip q1=(0,0 1,0 0,2) q2=(0.5,0.25 0.5,0.5 0,1) minT=0 maxT=1
</div>
<div id="quad21b">
bezier_clip q1=(0.5,0.25 0.5,0.375 0.375,0.5625) q2=(0,0 1,0 0,2) minT=0.3 maxT=0.78125
</div>
<div id="quad21c">
bezier_clip q1=(0.42,0.18 0.6125,0.46875 0.341796875,1.22070312) q2=(0.5,0.25 0.5,0.375 0.375,0.5625) minT=0 maxT=0.926710098
</div>
<div id="quad21d">
bezier_clip q1=(0.5,0.25 0.5,0.307919381 0.473162762,0.379257381) q2=(0.42,0.18 0.6125,0.46875 0.341796875,1.22070312) minT=0.187231244 maxT=0.729263299
</div>
<div id="quad21e">
bezier_clip q1=(0.475846194,0.304363878 0.53317904,0.507883959 0.454423387,0.847492538) q2=(0.5,0.25 0.5,0.307919381 0.473162762,0.379257381) minT=0 maxT=1
</div>
<div id="quad21f">
bezier_clip q1=(0.493290691,0.311274036 0.486581381,0.343588381 0.473162762,0.379257381) q2=(0.475846194,0.304363878 0.53317904,0.507883959 0.454423387,0.847492538) minT=0.0828748517 maxT=0.150086861
</div>

<div id="quad21g">
(gdb) p smaller
$1 = {{
    x = 0.48441440743366754, 
    y = 0.33903196011243797
  }, {
    x = 0.48750982503868118, 
    y = 0.35346899178071778
  }, {
    x = 0.48999046908865357, 
    y = 0.368520797004039
  }}
(gdb) p larger
$2 = {{
    x = 0.49329069058425024, 
    y = 0.31127403581536672
  }, {
    x = 0.48658138116850047, 
    y = 0.34358838107698753
  }, {
    x = 0.47316276233700094, 
    y = 0.37925738104648321
  }}
</div>

<div id="quad36">
(gdb) p fQ
$2 = {{
    x = 1.8883839294261275, 
    y = 2.1108590606904345
  }, {
    x = 1.888463903363252, 
    y = 2.1111576060205435
  }, {
    x = 1.8885438199983176, 
    y = 2.1114561800016824
  }}
(gdb) p rh.fQ
$3 = {{
    x = 1.8883839294260976, 
    y = 2.1108590606903377
  }, {
    x = 1.8886366953645748, 
    y = 2.1109850143489544
  }, {
    x = 1.8888888888888888, 
    y = 2.1111111111111112
  }}
(gdb) 
</div>

<div id="quad37">
 {{x = 360.048828125, y = 229.2578125}, {x = 360.048828125, y = 224.4140625}, {x = 362.607421875, y = 221.3671875}}
 {{x = 362.607421875, y = 221.3671875}, {x = 365.166015625, y = 218.3203125}, {x = 369.228515625, y = 218.3203125}}
</div>

<div id="quad38">
$2 = {{fX = 369.969421, fY = 137.94809}, {fX = 383.982849, fY = 121.260353}, {fX = 406.233154, fY = 121.260353}}
$4 = {{fX = 406.232788, fY = 121.260353}, {fX = 409.441956, fY = 121.260353}, {fX = 412.972046, fY = 121.795212}}
</div>

<div id="quad39">
{{x = 406.233154296875, y = 121.26035308837891}, {x = 406.23153587045397, y = 121.26035308837891}, {x = 406.22991748761177, y = 121.26035317666889}}, 
{{x = 406.23295158013377, y = 121.26035308872596}, {x = 406.2328698329315, y = 121.26035308837889}, {x = 406.2327880859375, y = 121.26035308837891}},
</div>

</div>

<script type="text/javascript">

var testDivs = [
    quad39,
    quad38,
    quad37,
    quad36,
    quad21g,
    quad21a,
    quad21b,
    quad21c,
    quad21d,
    quad21e,
    quad21f,
    clip1,
];

var scale, columns, rows, xStart, yStart;

var ticks = 10;
var at_x = 13 + 0.5;
var at_y = 13 + 0.5;
var init_decimal_places = 1; // make this 3 to show more precision
var decimal_places;
var tests = [];
var testTitles = [];
var testIndex = 0;
var ctx;
var fat1 = true;
var fat2 = false;
var ctl1 = true;
var ctl2 = false;
var ctlPts1 = true;
var ctlPts2 = false;
var minScale = 1;
var subscale = 1;

function parse(test, title) {
    var curveStrs = test.split("{{");
    if (curveStrs.length == 1)
        curveStrs = test.split("=(");
    var pattern = /[a-z$=]?-?\d+\.*\d*/g;
    var curves = [];
    for (var c in curveStrs) {
        var curveStr = curveStrs[c];
        var points = curveStr.match(pattern);
        var pts = [];
        for (var wd in points) {
            var num = parseFloat(points[wd]);
            if (isNaN(num)) continue;
            pts.push(num);
        }
        if (pts.length > 0)
            curves.push(pts);
    }
    if (curves.length >= 2) {
        tests.push(curves);
        testTitles.push(title);
    }
}

function init(test) {
    var canvas = document.getElementById('canvas');
    if (!canvas.getContext) return;
    canvas.width = window.innerWidth - at_x;
    canvas.height = window.innerHeight - at_y;
    ctx = canvas.getContext('2d');
    var xmin = Infinity;
    var xmax = -Infinity;
    var ymin = Infinity;
    var ymax = -Infinity;
    for (var curves in test) {
        var curve = test[curves];
        var last = curve.length;
        for (var idx = 0; idx < last; idx += 2) {
            xmin = Math.min(xmin, curve[idx]);
            xmax = Math.max(xmax, curve[idx]);
            ymin = Math.min(ymin, curve[idx + 1]);
            ymax = Math.max(ymax, curve[idx + 1]);
        }
    }
    subscale = 1;
    decimal_places = init_decimal_places;
    if (xmax != xmin && ymax != ymin) {
        while ((xmax - xmin) * subscale < 0.1 && (ymax - ymin) * subscale < 0.1) {
            subscale *= 10;
            decimal_places += 1;
     //       if (subscale > 100000) {
     //           break;
     //       }
        }
    }
    columns = Math.ceil(xmax * subscale) - Math.floor(xmin * subscale) + 1;
    rows = Math.ceil(ymax * subscale) - Math.floor(ymin * subscale) + 1;
    
    xStart = Math.floor(xmin * subscale) / subscale;
    yStart = Math.floor(ymin * subscale) / subscale;
    var hscale = ctx.canvas.width / columns / ticks;
    var vscale = ctx.canvas.height / rows / ticks;
    minScale = Math.floor(Math.min(hscale, vscale));
    scale = minScale * subscale;
 //   while (columns < 1000 && rows < 1000) {
  //      columns *= 2;
 //       rows *= 2;
 //   }
}

function drawPoint(px, py, xoffset, yoffset, unit) {
    var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places);
    var _px = px * unit + xoffset;
    var _py = py * unit + yoffset;
    ctx.beginPath();
    ctx.arc(_px, _py, 3, 0, Math.PI*2, true);
    ctx.closePath();
    ctx.fill();
    ctx.fillText(label, _px + 5, _py);
}

function draw(test, title, _at_x, _at_y, scale) {
    ctx.fillStyle = "rgba(0,0,0, 0.1)";
    ctx.font = "normal 50px Arial";
    ctx.fillText(title, 50, 50);
    ctx.font = "normal 10px Arial";

    var unit = scale * ticks;
    ctx.lineWidth = 1;
    var i;
    for (i = 0; i <= rows * ticks; ++i) {
        ctx.strokeStyle = (i % ticks) != 0 ? "rgb(160,160,160)" : "black";
        ctx.beginPath();
        ctx.moveTo(_at_x + 0, _at_y + i * minScale);
        ctx.lineTo(_at_x + unit * columns, _at_y + i * minScale);
        ctx.stroke();
    }
    for (i = 0; i <= columns * ticks; ++i) {
        ctx.strokeStyle = (i % ticks) != 0 ? "rgb(160,160,160)" : "black";
        ctx.beginPath();
        ctx.moveTo(_at_x + i * minScale, _at_y + 0);
        ctx.lineTo(_at_x + i * minScale, _at_y + unit * rows);
        ctx.stroke();
    }
 
    var xoffset = xStart * -unit + _at_x;
    var yoffset = yStart * -unit + _at_y;

    ctx.fillStyle = "rgb(40,80,60)"
    for (i = 0; i <= columns; i += (1 / ticks))
    {
        num = xStart + i / subscale; 
        ctx.fillText(num.toFixed(decimal_places), xoffset + num * unit - 5, 10);
    }
    for (i = 0; i <= rows; i += (1 / ticks))
    {
        num = yStart + i / subscale; 
        ctx.fillText(num.toFixed(decimal_places), 0, yoffset + num * unit + 0);
    }

    // draw curve 1 and 2
    var curves, pts;
    for (curves in test) {
        var curve = test[curves];
        ctx.beginPath();
        ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
        switch (curve.length) {
            case 6:
                ctx.quadraticCurveTo(
                    xoffset + curve[2] * unit, yoffset + curve[3] * unit,
                    xoffset + curve[4] * unit, yoffset + curve[5] * unit);
                break;
            case 8:
                ctx.bezierCurveTo(
                    xoffset + curve[2] * unit, yoffset + curve[3] * unit,
                    xoffset + curve[4] * unit, yoffset + curve[5] * unit,
                    xoffset + curve[6] * unit, yoffset + curve[7] * unit);
                break;
        }
        if (curves == 2) ctx.strokeStyle = curves ? "red" : "blue";
        ctx.stroke();
        ctx.strokeStyle = "rgba(0,0,0, 0.3)";
        ctx.beginPath();
        ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
        ctx.lineTo(xoffset + curve[2] * unit, yoffset + curve[3] * unit);
        ctx.lineTo(xoffset + curve[4] * unit, yoffset + curve[5] * unit);
        if (curve.length == 8)
            ctx.lineTo(xoffset + curve[6] * unit, yoffset + curve[7] * unit);
        ctx.stroke();
    }
    // optionally draw fat lines for curve 
    if (fat1)
        drawFat(test[0], xoffset, yoffset, unit);
    if (fat2)
        drawFat(test[1], xoffset, yoffset, unit);
    if (ctl1)
        drawCtl(test[0], xoffset, yoffset, unit);
    if (ctl2)
        drawCtl(test[1], xoffset, yoffset, unit);
    if (ctlPts1)
        drawCtlPts(test[0], xoffset, yoffset, unit);
    if (ctlPts2)
        drawCtlPts(test[1], xoffset, yoffset, unit);
}

function drawCtl(curve, xoffset, yoffset, unit) {
    var last = curve.length - 2;
    ctx.strokeStyle = "rgba(0,0,0, 0.5)";
    ctx.beginPath();
    ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
    ctx.lineTo(xoffset + curve[2] * unit, yoffset + curve[3] * unit);
    ctx.lineTo(xoffset + curve[4] * unit, yoffset + curve[5] * unit);
    ctx.stroke();
}

function drawCtlPts(curve, xoffset, yoffset, unit) {
    drawPoint(curve[0], curve[1], xoffset, yoffset, unit);
    drawPoint(curve[2], curve[3], xoffset, yoffset, unit);
    drawPoint(curve[4], curve[5], xoffset, yoffset, unit);
}

function drawFat(curve, xoffset, yoffset, unit) {
    var last = curve.length - 2;
    ctx.strokeStyle = "rgba(0,0,0, 0.5)";
    ctx.beginPath();
    ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit);
    ctx.lineTo(xoffset + curve[last] * unit, yoffset + curve[last + 1] * unit);
    ctx.stroke();
    // draw line parallel to end points through control points
    var dx = curve[last] - curve[0];
    var dy = curve[last + 1] - curve[1];
    drawParallelLine(curve[2], curve[3], dx, dy, xoffset, yoffset, unit);
    if (curve.length == 8)
        drawParallelLine(curve[4], curve[5], dx, dy, xoffset, yoffset, unit);
}

function drawParallelLine(x, y, dx, dy, xoffset, yoffset, unit) {
    var x1 = x - dx;
    var y1 = y - dy;
    var x2 = x + dx;
    var y2 = y + dy;
    ctx.beginPath();
    ctx.moveTo(xoffset + x1 * unit, yoffset + y1 * unit);
    ctx.lineTo(xoffset + x2 * unit, yoffset + y2 * unit);
    ctx.stroke();
}

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], at_x, at_y, scale);
}

function doKeyPress(evt) {
    var char = String.fromCharCode(evt.charCode);
    switch (char) {
    case 'c':
        ctl2 ^= true;
        if (ctl2 == false)
            ctl1 ^= true;
        drawTop();
        break;
    case 'd':
        ctlPts2 ^= true;
        if (ctlPts2 == false)
            ctlPts1 ^= true;
        drawTop();
        break;
    case 'f':
        fat2 ^= true;
        if (fat2 == false)
            fat1 ^= true;
        drawTop();
        break;
    case 'N':
        testIndex += 9;
    case 'n':
        if (++testIndex >= tests.length)
            testIndex = 0;
        mouseX = Infinity;
        drawTop();
        break;
    case 'P':
        testIndex -= 9;
    case 'p':
        if (--testIndex < 0)
            testIndex = tests.length - 1;
        mouseX = Infinity;
        drawTop();
        break;
    }
}

function handleMouseClick() {
}

function handleMouseOver() {
}

function start() {
    for (i = 0; i < testDivs.length; ++i) {
        var title = testDivs[i].id.toString();
        var str = testDivs[i].firstChild.data;
        parse(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>