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| (Empty) |
| 1 <!-- bezier clip visualizer --> | |
| 2 <html> | |
| 3 <head> | |
| 4 <div style="height:0"> | |
| 5 | |
| 6 <div id="clip1"> | |
| 7 (gdb) p smaller | |
| 8 $2 = {{ | |
| 9 x = 0.91292418204644155, | |
| 10 y = 0.41931201426549197 | |
| 11 }, { | |
| 12 x = 0.70491388044579517, | |
| 13 y = 0.64754305977710236 | |
| 14 }, { | |
| 15 x = 0, | |
| 16 y = 1 | |
| 17 }} | |
| 18 (gdb) p larger | |
| 19 $3 = {{ | |
| 20 x = 0.21875, | |
| 21 y = 0.765625 | |
| 22 }, { | |
| 23 x = 0.125, | |
| 24 y = 0.875 | |
| 25 }, { | |
| 26 x = 0, | |
| 27 y = 1 | |
| 28 }} | |
| 29 (gdb) p distance2y | |
| 30 $1 = {{ | |
| 31 x = 0, | |
| 32 y = 0.080355482722450078 | |
| 33 }, { | |
| 34 x = 0.5, | |
| 35 y = 0.038383741101172597 | |
| 36 }, { | |
| 37 x = 1, | |
| 38 y = 0 | |
| 39 }} | |
| 40 </div> | |
| 41 | |
| 42 <div id="quad21a"> | |
| 43 bezier_clip q1=(0,0 1,0 0,2) q2=(0.5,0.25 0.5,0.5 0,1) minT=0 maxT=1 | |
| 44 </div> | |
| 45 <div id="quad21b"> | |
| 46 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 | |
| 47 </div> | |
| 48 <div id="quad21c"> | |
| 49 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 | |
| 50 </div> | |
| 51 <div id="quad21d"> | |
| 52 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 | |
| 53 </div> | |
| 54 <div id="quad21e"> | |
| 55 bezier_clip q1=(0.475846194,0.304363878 0.53317904,0.507883959 0.454423387,0.847
492538) q2=(0.5,0.25 0.5,0.307919381 0.473162762,0.379257381) minT=0 maxT=1 | |
| 56 </div> | |
| 57 <div id="quad21f"> | |
| 58 bezier_clip q1=(0.493290691,0.311274036 0.486581381,0.343588381 0.473162762,0.37
9257381) q2=(0.475846194,0.304363878 0.53317904,0.507883959 0.454423387,0.847492
538) minT=0.0828748517 maxT=0.150086861 | |
| 59 </div> | |
| 60 | |
| 61 <div id="quad21g"> | |
| 62 (gdb) p smaller | |
| 63 $1 = {{ | |
| 64 x = 0.48441440743366754, | |
| 65 y = 0.33903196011243797 | |
| 66 }, { | |
| 67 x = 0.48750982503868118, | |
| 68 y = 0.35346899178071778 | |
| 69 }, { | |
| 70 x = 0.48999046908865357, | |
| 71 y = 0.368520797004039 | |
| 72 }} | |
| 73 (gdb) p larger | |
| 74 $2 = {{ | |
| 75 x = 0.49329069058425024, | |
| 76 y = 0.31127403581536672 | |
| 77 }, { | |
| 78 x = 0.48658138116850047, | |
| 79 y = 0.34358838107698753 | |
| 80 }, { | |
| 81 x = 0.47316276233700094, | |
| 82 y = 0.37925738104648321 | |
| 83 }} | |
| 84 </div> | |
| 85 | |
| 86 <div id="quad36"> | |
| 87 (gdb) p fQ | |
| 88 $2 = {{ | |
| 89 x = 1.8883839294261275, | |
| 90 y = 2.1108590606904345 | |
| 91 }, { | |
| 92 x = 1.888463903363252, | |
| 93 y = 2.1111576060205435 | |
| 94 }, { | |
| 95 x = 1.8885438199983176, | |
| 96 y = 2.1114561800016824 | |
| 97 }} | |
| 98 (gdb) p rh.fQ | |
| 99 $3 = {{ | |
| 100 x = 1.8883839294260976, | |
| 101 y = 2.1108590606903377 | |
| 102 }, { | |
| 103 x = 1.8886366953645748, | |
| 104 y = 2.1109850143489544 | |
| 105 }, { | |
| 106 x = 1.8888888888888888, | |
| 107 y = 2.1111111111111112 | |
| 108 }} | |
| 109 (gdb) | |
| 110 </div> | |
| 111 | |
| 112 <div id="quad37"> | |
| 113 {{x = 360.048828125, y = 229.2578125}, {x = 360.048828125, y = 224.4140625}, {x
= 362.607421875, y = 221.3671875}} | |
| 114 {{x = 362.607421875, y = 221.3671875}, {x = 365.166015625, y = 218.3203125}, {x
= 369.228515625, y = 218.3203125}} | |
| 115 </div> | |
| 116 | |
| 117 <div id="quad38"> | |
| 118 $2 = {{fX = 369.969421, fY = 137.94809}, {fX = 383.982849, fY = 121.260353}, {fX
= 406.233154, fY = 121.260353}} | |
| 119 $4 = {{fX = 406.232788, fY = 121.260353}, {fX = 409.441956, fY = 121.260353}, {f
X = 412.972046, fY = 121.795212}} | |
| 120 </div> | |
| 121 | |
| 122 <div id="quad39"> | |
| 123 {{x = 406.233154296875, y = 121.26035308837891}, {x = 406.23153587045397, y = 12
1.26035308837891}, {x = 406.22991748761177, y = 121.26035317666889}}, | |
| 124 {{x = 406.23295158013377, y = 121.26035308872596}, {x = 406.2328698329315, y = 1
21.26035308837889}, {x = 406.2327880859375, y = 121.26035308837891}}, | |
| 125 </div> | |
| 126 | |
| 127 </div> | |
| 128 | |
| 129 <script type="text/javascript"> | |
| 130 | |
| 131 var testDivs = [ | |
| 132 quad56, | |
| 133 quad39, | |
| 134 quad38, | |
| 135 quad37, | |
| 136 quad36, | |
| 137 quad21g, | |
| 138 quad21a, | |
| 139 quad21b, | |
| 140 quad21c, | |
| 141 quad21d, | |
| 142 quad21e, | |
| 143 quad21f, | |
| 144 clip1, | |
| 145 ]; | |
| 146 | |
| 147 var scale, columns, rows, xStart, yStart; | |
| 148 | |
| 149 var ticks = 10; | |
| 150 var at_x = 13 + 0.5; | |
| 151 var at_y = 13 + 0.5; | |
| 152 var init_decimal_places = 1; // make this 3 to show more precision | |
| 153 var decimal_places; | |
| 154 var tests = []; | |
| 155 var testTitles = []; | |
| 156 var testIndex = 0; | |
| 157 var ctx; | |
| 158 var fat1 = true; | |
| 159 var fat2 = false; | |
| 160 var ctl1 = true; | |
| 161 var ctl2 = false; | |
| 162 var ctlPts1 = true; | |
| 163 var ctlPts2 = false; | |
| 164 var minScale = 1; | |
| 165 var subscale = 1; | |
| 166 | |
| 167 function parse(test, title) { | |
| 168 var curveStrs = test.split("{{"); | |
| 169 if (curveStrs.length == 1) | |
| 170 curveStrs = test.split("=("); | |
| 171 var pattern = /[a-z$=]?-?\d+\.*\d*/g; | |
| 172 var curves = []; | |
| 173 for (var c in curveStrs) { | |
| 174 var curveStr = curveStrs[c]; | |
| 175 var points = curveStr.match(pattern); | |
| 176 var pts = []; | |
| 177 for (var wd in points) { | |
| 178 var num = parseFloat(points[wd]); | |
| 179 if (isNaN(num)) continue; | |
| 180 pts.push(num); | |
| 181 } | |
| 182 if (pts.length > 0) | |
| 183 curves.push(pts); | |
| 184 } | |
| 185 if (curves.length >= 2) { | |
| 186 tests.push(curves); | |
| 187 testTitles.push(title); | |
| 188 } | |
| 189 } | |
| 190 | |
| 191 function init(test) { | |
| 192 var canvas = document.getElementById('canvas'); | |
| 193 if (!canvas.getContext) return; | |
| 194 canvas.width = window.innerWidth - at_x; | |
| 195 canvas.height = window.innerHeight - at_y; | |
| 196 ctx = canvas.getContext('2d'); | |
| 197 var xmin = Infinity; | |
| 198 var xmax = -Infinity; | |
| 199 var ymin = Infinity; | |
| 200 var ymax = -Infinity; | |
| 201 for (var curves in test) { | |
| 202 var curve = test[curves]; | |
| 203 var last = curve.length; | |
| 204 for (var idx = 0; idx < last; idx += 2) { | |
| 205 xmin = Math.min(xmin, curve[idx]); | |
| 206 xmax = Math.max(xmax, curve[idx]); | |
| 207 ymin = Math.min(ymin, curve[idx + 1]); | |
| 208 ymax = Math.max(ymax, curve[idx + 1]); | |
| 209 } | |
| 210 } | |
| 211 subscale = 1; | |
| 212 decimal_places = init_decimal_places; | |
| 213 if (xmax != xmin && ymax != ymin) { | |
| 214 while ((xmax - xmin) * subscale < 0.1 && (ymax - ymin) * subscale < 0.1)
{ | |
| 215 subscale *= 10; | |
| 216 decimal_places += 1; | |
| 217 // if (subscale > 100000) { | |
| 218 // break; | |
| 219 // } | |
| 220 } | |
| 221 } | |
| 222 columns = Math.ceil(xmax * subscale) - Math.floor(xmin * subscale) + 1; | |
| 223 rows = Math.ceil(ymax * subscale) - Math.floor(ymin * subscale) + 1; | |
| 224 | |
| 225 xStart = Math.floor(xmin * subscale) / subscale; | |
| 226 yStart = Math.floor(ymin * subscale) / subscale; | |
| 227 var hscale = ctx.canvas.width / columns / ticks; | |
| 228 var vscale = ctx.canvas.height / rows / ticks; | |
| 229 minScale = Math.floor(Math.min(hscale, vscale)); | |
| 230 scale = minScale * subscale; | |
| 231 // while (columns < 1000 && rows < 1000) { | |
| 232 // columns *= 2; | |
| 233 // rows *= 2; | |
| 234 // } | |
| 235 } | |
| 236 | |
| 237 function drawPoint(px, py, xoffset, yoffset, unit) { | |
| 238 var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places); | |
| 239 var _px = px * unit + xoffset; | |
| 240 var _py = py * unit + yoffset; | |
| 241 ctx.beginPath(); | |
| 242 ctx.arc(_px, _py, 3, 0, Math.PI*2, true); | |
| 243 ctx.closePath(); | |
| 244 ctx.fill(); | |
| 245 ctx.fillText(label, _px + 5, _py); | |
| 246 } | |
| 247 | |
| 248 function draw(test, title, _at_x, _at_y, scale) { | |
| 249 ctx.fillStyle = "rgba(0,0,0, 0.1)"; | |
| 250 ctx.font = "normal 50px Arial"; | |
| 251 ctx.fillText(title, 50, 50); | |
| 252 ctx.font = "normal 10px Arial"; | |
| 253 | |
| 254 var unit = scale * ticks; | |
| 255 ctx.lineWidth = 1; | |
| 256 var i; | |
| 257 for (i = 0; i <= rows * ticks; ++i) { | |
| 258 ctx.strokeStyle = (i % ticks) != 0 ? "rgb(160,160,160)" : "black"; | |
| 259 ctx.beginPath(); | |
| 260 ctx.moveTo(_at_x + 0, _at_y + i * minScale); | |
| 261 ctx.lineTo(_at_x + unit * columns, _at_y + i * minScale); | |
| 262 ctx.stroke(); | |
| 263 } | |
| 264 for (i = 0; i <= columns * ticks; ++i) { | |
| 265 ctx.strokeStyle = (i % ticks) != 0 ? "rgb(160,160,160)" : "black"; | |
| 266 ctx.beginPath(); | |
| 267 ctx.moveTo(_at_x + i * minScale, _at_y + 0); | |
| 268 ctx.lineTo(_at_x + i * minScale, _at_y + unit * rows); | |
| 269 ctx.stroke(); | |
| 270 } | |
| 271 | |
| 272 var xoffset = xStart * -unit + _at_x; | |
| 273 var yoffset = yStart * -unit + _at_y; | |
| 274 | |
| 275 ctx.fillStyle = "rgb(40,80,60)" | |
| 276 for (i = 0; i <= columns; i += (1 / ticks)) | |
| 277 { | |
| 278 num = xStart + i / subscale; | |
| 279 ctx.fillText(num.toFixed(decimal_places), xoffset + num * unit - 5, 10); | |
| 280 } | |
| 281 for (i = 0; i <= rows; i += (1 / ticks)) | |
| 282 { | |
| 283 num = yStart + i / subscale; | |
| 284 ctx.fillText(num.toFixed(decimal_places), 0, yoffset + num * unit + 0); | |
| 285 } | |
| 286 | |
| 287 // draw curve 1 and 2 | |
| 288 var curves, pts; | |
| 289 for (curves in test) { | |
| 290 var curve = test[curves]; | |
| 291 ctx.beginPath(); | |
| 292 ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit); | |
| 293 switch (curve.length) { | |
| 294 case 6: | |
| 295 ctx.quadraticCurveTo( | |
| 296 xoffset + curve[2] * unit, yoffset + curve[3] * unit, | |
| 297 xoffset + curve[4] * unit, yoffset + curve[5] * unit); | |
| 298 break; | |
| 299 case 8: | |
| 300 ctx.bezierCurveTo( | |
| 301 xoffset + curve[2] * unit, yoffset + curve[3] * unit, | |
| 302 xoffset + curve[4] * unit, yoffset + curve[5] * unit, | |
| 303 xoffset + curve[6] * unit, yoffset + curve[7] * unit); | |
| 304 break; | |
| 305 } | |
| 306 if (curves == 2) ctx.strokeStyle = curves ? "red" : "blue"; | |
| 307 ctx.stroke(); | |
| 308 ctx.strokeStyle = "rgba(0,0,0, 0.3)"; | |
| 309 ctx.beginPath(); | |
| 310 ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit); | |
| 311 ctx.lineTo(xoffset + curve[2] * unit, yoffset + curve[3] * unit); | |
| 312 ctx.lineTo(xoffset + curve[4] * unit, yoffset + curve[5] * unit); | |
| 313 if (curve.length == 8) | |
| 314 ctx.lineTo(xoffset + curve[6] * unit, yoffset + curve[7] * unit); | |
| 315 ctx.stroke(); | |
| 316 } | |
| 317 // optionally draw fat lines for curve | |
| 318 if (fat1) | |
| 319 drawFat(test[0], xoffset, yoffset, unit); | |
| 320 if (fat2) | |
| 321 drawFat(test[1], xoffset, yoffset, unit); | |
| 322 if (ctl1) | |
| 323 drawCtl(test[0], xoffset, yoffset, unit); | |
| 324 if (ctl2) | |
| 325 drawCtl(test[1], xoffset, yoffset, unit); | |
| 326 if (ctlPts1) | |
| 327 drawCtlPts(test[0], xoffset, yoffset, unit); | |
| 328 if (ctlPts2) | |
| 329 drawCtlPts(test[1], xoffset, yoffset, unit); | |
| 330 } | |
| 331 | |
| 332 function drawCtl(curve, xoffset, yoffset, unit) { | |
| 333 var last = curve.length - 2; | |
| 334 ctx.strokeStyle = "rgba(0,0,0, 0.5)"; | |
| 335 ctx.beginPath(); | |
| 336 ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit); | |
| 337 ctx.lineTo(xoffset + curve[2] * unit, yoffset + curve[3] * unit); | |
| 338 ctx.lineTo(xoffset + curve[4] * unit, yoffset + curve[5] * unit); | |
| 339 ctx.stroke(); | |
| 340 } | |
| 341 | |
| 342 function drawCtlPts(curve, xoffset, yoffset, unit) { | |
| 343 drawPoint(curve[0], curve[1], xoffset, yoffset, unit); | |
| 344 drawPoint(curve[2], curve[3], xoffset, yoffset, unit); | |
| 345 drawPoint(curve[4], curve[5], xoffset, yoffset, unit); | |
| 346 } | |
| 347 | |
| 348 function drawFat(curve, xoffset, yoffset, unit) { | |
| 349 var last = curve.length - 2; | |
| 350 ctx.strokeStyle = "rgba(0,0,0, 0.5)"; | |
| 351 ctx.beginPath(); | |
| 352 ctx.moveTo(xoffset + curve[0] * unit, yoffset + curve[1] * unit); | |
| 353 ctx.lineTo(xoffset + curve[last] * unit, yoffset + curve[last + 1] * unit); | |
| 354 ctx.stroke(); | |
| 355 // draw line parallel to end points through control points | |
| 356 var dx = curve[last] - curve[0]; | |
| 357 var dy = curve[last + 1] - curve[1]; | |
| 358 drawParallelLine(curve[2], curve[3], dx, dy, xoffset, yoffset, unit); | |
| 359 if (curve.length == 8) | |
| 360 drawParallelLine(curve[4], curve[5], dx, dy, xoffset, yoffset, unit); | |
| 361 } | |
| 362 | |
| 363 function drawParallelLine(x, y, dx, dy, xoffset, yoffset, unit) { | |
| 364 var x1 = x - dx; | |
| 365 var y1 = y - dy; | |
| 366 var x2 = x + dx; | |
| 367 var y2 = y + dy; | |
| 368 ctx.beginPath(); | |
| 369 ctx.moveTo(xoffset + x1 * unit, yoffset + y1 * unit); | |
| 370 ctx.lineTo(xoffset + x2 * unit, yoffset + y2 * unit); | |
| 371 ctx.stroke(); | |
| 372 } | |
| 373 | |
| 374 function drawTop() { | |
| 375 init(tests[testIndex]); | |
| 376 redraw(); | |
| 377 } | |
| 378 | |
| 379 function redraw() { | |
| 380 ctx.beginPath(); | |
| 381 ctx.rect(0, 0, ctx.canvas.width, ctx.canvas.height); | |
| 382 ctx.fillStyle="white"; | |
| 383 ctx.fill(); | |
| 384 draw(tests[testIndex], testTitles[testIndex], at_x, at_y, scale); | |
| 385 } | |
| 386 | |
| 387 function doKeyPress(evt) { | |
| 388 var char = String.fromCharCode(evt.charCode); | |
| 389 switch (char) { | |
| 390 case 'c': | |
| 391 ctl2 ^= true; | |
| 392 if (ctl2 == false) | |
| 393 ctl1 ^= true; | |
| 394 drawTop(); | |
| 395 break; | |
| 396 case 'd': | |
| 397 ctlPts2 ^= true; | |
| 398 if (ctlPts2 == false) | |
| 399 ctlPts1 ^= true; | |
| 400 drawTop(); | |
| 401 break; | |
| 402 case 'f': | |
| 403 fat2 ^= true; | |
| 404 if (fat2 == false) | |
| 405 fat1 ^= true; | |
| 406 drawTop(); | |
| 407 break; | |
| 408 case 'N': | |
| 409 testIndex += 9; | |
| 410 case 'n': | |
| 411 if (++testIndex >= tests.length) | |
| 412 testIndex = 0; | |
| 413 mouseX = Infinity; | |
| 414 drawTop(); | |
| 415 break; | |
| 416 case 'P': | |
| 417 testIndex -= 9; | |
| 418 case 'p': | |
| 419 if (--testIndex < 0) | |
| 420 testIndex = tests.length - 1; | |
| 421 mouseX = Infinity; | |
| 422 drawTop(); | |
| 423 break; | |
| 424 } | |
| 425 } | |
| 426 | |
| 427 function handleMouseClick() { | |
| 428 } | |
| 429 | |
| 430 function handleMouseOver() { | |
| 431 } | |
| 432 | |
| 433 function start() { | |
| 434 for (i = 0; i < testDivs.length; ++i) { | |
| 435 var title = testDivs[i].id.toString(); | |
| 436 var str = testDivs[i].firstChild.data; | |
| 437 parse(str, title); | |
| 438 } | |
| 439 drawTop(); | |
| 440 window.addEventListener('keypress', doKeyPress, true); | |
| 441 window.onresize = function() { | |
| 442 drawTop(); | |
| 443 } | |
| 444 } | |
| 445 | |
| 446 </script> | |
| 447 </head> | |
| 448 | |
| 449 <body onLoad="start();"> | |
| 450 <canvas id="canvas" width="750" height="500" | |
| 451 onmousemove="handleMouseOver()" | |
| 452 onclick="handleMouseClick()" | |
| 453 ></canvas > | |
| 454 </body> | |
| 455 </html> | |
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