Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 1 | <!DOCTYPE html> |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 2 | |
| 3 | <html lang="en" xmlns="http://www.w3.org/1999/xhtml"> |
| 4 | <head> |
| 5 | <meta charset="utf-8" /> |
| 6 | <title></title> |
| 7 | <div style="height:0"> |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 8 | |
Cary Clark | 59d5a0e | 2017-01-23 14:38:52 +0000 | [diff] [blame] | 9 | <div id="cubics"> |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 10 | {{{152, 16}, {152, 16.0685501}, {91.06044, 16.1242027}, {16, 16.1242027}}}, id=0 |
| 11 | {{{16, 16.1242027}, {-59.06044, 16.1242027}, {-120, 16.0685501}, {-120, 16}}}, id=1 |
| 12 | {{{-120, 16}, {-120, 15.9314508}, {-59.06044, 15.8757973}, {16, 15.8757973}}}, id=2 |
| 13 | {{{16, 15.8757973}, {91.06044, 15.8757973}, {152, 15.9314508}, {152, 16}}}, id=3 |
| 14 | {{{16, 16}, {152, 16}}}, id=4 |
| 15 | {{{16, 17}, {152, 17}}}, id=5 |
| 16 | {{{16, 16}, {16, 17}}}, id=6 |
| 17 | {{{152, 16}, {152, 17}}}, id=7 |
Cary Clark | 59d5a0e | 2017-01-23 14:38:52 +0000 | [diff] [blame] | 18 | </div> |
| 19 | |
caryclark | 34efb70 | 2016-10-24 08:19:06 -0700 | [diff] [blame] | 20 | </div> |
| 21 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 22 | <script type="text/javascript"> |
| 23 | |
caryclark | 34efb70 | 2016-10-24 08:19:06 -0700 | [diff] [blame] | 24 | var testDivs = [ |
Cary Clark | 59d5a0e | 2017-01-23 14:38:52 +0000 | [diff] [blame] | 25 | cubics, |
caryclark | b36a3cd | 2016-10-18 07:59:44 -0700 | [diff] [blame] | 26 | ]; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 27 | |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 28 | var decimal_places = 3; |
| 29 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 30 | var tests = []; |
| 31 | var testTitles = []; |
| 32 | var testIndex = 0; |
| 33 | var ctx; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 34 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 35 | var subscale = 1; |
| 36 | var xmin, xmax, ymin, ymax; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 37 | var hscale, vscale; |
| 38 | var hinitScale, vinitScale; |
| 39 | var uniformScale = true; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 40 | var mouseX, mouseY; |
| 41 | var mouseDown = false; |
| 42 | var srcLeft, srcTop; |
| 43 | var screenWidth, screenHeight; |
| 44 | var drawnPts; |
| 45 | var curveT = 0; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 46 | var curveW = -1; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 47 | |
| 48 | var lastX, lastY; |
| 49 | var activeCurve = []; |
| 50 | var activePt; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 51 | var ids = []; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 52 | |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 53 | var focus_on_selection = 0; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 54 | var draw_t = false; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 55 | var draw_w = false; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 56 | var draw_closest_t = false; |
caryclark | fa6d656 | 2014-07-29 12:13:28 -0700 | [diff] [blame] | 57 | var draw_cubic_red = false; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 58 | var draw_derivative = false; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 59 | var draw_endpoints = 2; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 60 | var draw_id = 0; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 61 | var draw_midpoint = 0; |
| 62 | var draw_mouse_xy = false; |
| 63 | var draw_order = false; |
| 64 | var draw_point_xy = false; |
| 65 | var draw_ray_intersect = false; |
| 66 | var draw_quarterpoint = 0; |
| 67 | var draw_tangents = 1; |
| 68 | var draw_sortpoint = 0; |
| 69 | var retina_scale = !!window.devicePixelRatio; |
| 70 | |
| 71 | function parse(test, title) { |
| 72 | var curveStrs = test.split("{{"); |
| 73 | var pattern = /-?\d+\.*\d*e?-?\d*/g; |
| 74 | var curves = []; |
| 75 | for (var c in curveStrs) { |
| 76 | var curveStr = curveStrs[c]; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 77 | var idPart = curveStr.split("id="); |
| 78 | var id = -1; |
| 79 | if (idPart.length == 2) { |
| 80 | id = parseInt(idPart[1]); |
| 81 | curveStr = idPart[0]; |
| 82 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 83 | var points = curveStr.match(pattern); |
| 84 | var pts = []; |
| 85 | for (var wd in points) { |
| 86 | var num = parseFloat(points[wd]); |
| 87 | if (isNaN(num)) continue; |
| 88 | pts.push(num); |
| 89 | } |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 90 | if (pts.length > 2) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 91 | curves.push(pts); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 92 | } |
| 93 | if (id >= 0) { |
| 94 | ids.push(id); |
| 95 | ids.push(pts); |
| 96 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 97 | } |
| 98 | if (curves.length >= 1) { |
| 99 | tests.push(curves); |
| 100 | testTitles.push(title); |
| 101 | } |
| 102 | } |
| 103 | |
| 104 | function init(test) { |
| 105 | var canvas = document.getElementById('canvas'); |
| 106 | if (!canvas.getContext) return; |
| 107 | ctx = canvas.getContext('2d'); |
| 108 | var resScale = retina_scale && window.devicePixelRatio ? window.devicePixelRatio : 1; |
| 109 | var unscaledWidth = window.innerWidth - 20; |
| 110 | var unscaledHeight = window.innerHeight - 20; |
| 111 | screenWidth = unscaledWidth; |
| 112 | screenHeight = unscaledHeight; |
| 113 | canvas.width = unscaledWidth * resScale; |
| 114 | canvas.height = unscaledHeight * resScale; |
| 115 | canvas.style.width = unscaledWidth + 'px'; |
| 116 | canvas.style.height = unscaledHeight + 'px'; |
| 117 | if (resScale != 1) { |
| 118 | ctx.scale(resScale, resScale); |
| 119 | } |
| 120 | xmin = Infinity; |
| 121 | xmax = -Infinity; |
| 122 | ymin = Infinity; |
| 123 | ymax = -Infinity; |
| 124 | for (var curves in test) { |
| 125 | var curve = test[curves]; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 126 | var last = curve.length - (curve.length % 2 == 1 ? 1 : 0); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 127 | for (var idx = 0; idx < last; idx += 2) { |
| 128 | xmin = Math.min(xmin, curve[idx]); |
| 129 | xmax = Math.max(xmax, curve[idx]); |
| 130 | ymin = Math.min(ymin, curve[idx + 1]); |
| 131 | ymax = Math.max(ymax, curve[idx + 1]); |
| 132 | } |
| 133 | } |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 134 | xmin -= Math.min(1, Math.max(xmax - xmin, ymax - ymin)); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 135 | var testW = xmax - xmin; |
| 136 | var testH = ymax - ymin; |
| 137 | subscale = 1; |
| 138 | while (testW * subscale < 0.1 && testH * subscale < 0.1) { |
| 139 | subscale *= 10; |
| 140 | } |
| 141 | while (testW * subscale > 10 && testH * subscale > 10) { |
| 142 | subscale /= 10; |
| 143 | } |
| 144 | setScale(xmin, xmax, ymin, ymax); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 145 | mouseX = (screenWidth / 2) / hscale + srcLeft; |
| 146 | mouseY = (screenHeight / 2) / vscale + srcTop; |
| 147 | hinitScale = hscale; |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 148 | vinitScale = vscale; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 149 | } |
| 150 | |
| 151 | function setScale(x0, x1, y0, y1) { |
| 152 | var srcWidth = x1 - x0; |
| 153 | var srcHeight = y1 - y0; |
| 154 | var usableWidth = screenWidth; |
| 155 | var xDigits = Math.ceil(Math.log(Math.abs(xmax)) / Math.log(10)); |
| 156 | var yDigits = Math.ceil(Math.log(Math.abs(ymax)) / Math.log(10)); |
| 157 | usableWidth -= (xDigits + yDigits) * 10; |
| 158 | usableWidth -= decimal_places * 10; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 159 | hscale = usableWidth / srcWidth; |
| 160 | vscale = screenHeight / srcHeight; |
| 161 | if (uniformScale) { |
| 162 | hscale = Math.min(hscale, vscale); |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 163 | vscale = hscale; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 164 | } |
| 165 | var hinvScale = 1 / hscale; |
| 166 | var vinvScale = 1 / vscale; |
| 167 | var sxmin = x0 - hinvScale * 5; |
| 168 | var symin = y0 - vinvScale * 10; |
| 169 | var sxmax = x1 + hinvScale * (6 * decimal_places + 10); |
| 170 | var symax = y1 + vinvScale * 10; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 171 | srcWidth = sxmax - sxmin; |
| 172 | srcHeight = symax - symin; |
| 173 | hscale = usableWidth / srcWidth; |
| 174 | vscale = screenHeight / srcHeight; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 175 | if (uniformScale) { |
| 176 | hscale = Math.min(hscale, vscale); |
| 177 | vscale = hscale; |
| 178 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 179 | srcLeft = sxmin; |
| 180 | srcTop = symin; |
| 181 | } |
| 182 | |
| 183 | function dxy_at_t(curve, t) { |
| 184 | var dxy = {}; |
| 185 | if (curve.length == 6) { |
| 186 | var a = t - 1; |
| 187 | var b = 1 - 2 * t; |
| 188 | var c = t; |
| 189 | dxy.x = a * curve[0] + b * curve[2] + c * curve[4]; |
| 190 | dxy.y = a * curve[1] + b * curve[3] + c * curve[5]; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 191 | } else if (curve.length == 7) { |
| 192 | var p20x = curve[4] - curve[0]; |
| 193 | var p20y = curve[5] - curve[1]; |
| 194 | var p10xw = (curve[2] - curve[0]) * curve[6]; |
| 195 | var p10yw = (curve[3] - curve[1]) * curve[6]; |
| 196 | var coeff0x = curve[6] * p20x - p20x; |
| 197 | var coeff0y = curve[6] * p20y - p20y; |
| 198 | var coeff1x = p20x - 2 * p10xw; |
| 199 | var coeff1y = p20y - 2 * p10yw; |
| 200 | dxy.x = t * (t * coeff0x + coeff1x) + p10xw; |
| 201 | dxy.y = t * (t * coeff0y + coeff1y) + p10yw; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 202 | } else if (curve.length == 8) { |
| 203 | var one_t = 1 - t; |
| 204 | var a = curve[0]; |
| 205 | var b = curve[2]; |
| 206 | var c = curve[4]; |
| 207 | var d = curve[6]; |
| 208 | dxy.x = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t); |
| 209 | a = curve[1]; |
| 210 | b = curve[3]; |
| 211 | c = curve[5]; |
| 212 | d = curve[7]; |
| 213 | dxy.y = 3 * ((b - a) * one_t * one_t + 2 * (c - b) * t * one_t + (d - c) * t * t); |
| 214 | } |
| 215 | return dxy; |
| 216 | } |
| 217 | |
| 218 | var flt_epsilon = 1.19209290E-07; |
| 219 | |
| 220 | function approximately_zero(A) { |
| 221 | return Math.abs(A) < flt_epsilon; |
| 222 | } |
| 223 | |
| 224 | function approximately_zero_inverse(A) { |
| 225 | return Math.abs(A) > (1 / flt_epsilon); |
| 226 | } |
| 227 | |
| 228 | function quad_real_roots(A, B, C) { |
| 229 | var s = []; |
| 230 | var p = B / (2 * A); |
| 231 | var q = C / A; |
| 232 | if (approximately_zero(A) && (approximately_zero_inverse(p) |
| 233 | || approximately_zero_inverse(q))) { |
| 234 | if (approximately_zero(B)) { |
| 235 | if (C == 0) { |
| 236 | s[0] = 0; |
| 237 | } |
| 238 | return s; |
| 239 | } |
| 240 | s[0] = -C / B; |
| 241 | return s; |
| 242 | } |
| 243 | /* normal form: x^2 + px + q = 0 */ |
| 244 | var p2 = p * p; |
| 245 | if (!approximately_zero(p2 - q) && p2 < q) { |
| 246 | return s; |
| 247 | } |
| 248 | var sqrt_D = 0; |
| 249 | if (p2 > q) { |
| 250 | sqrt_D = Math.sqrt(p2 - q); |
| 251 | } |
| 252 | s[0] = sqrt_D - p; |
| 253 | var flip = -sqrt_D - p; |
| 254 | if (!approximately_zero(s[0] - flip)) { |
| 255 | s[1] = flip; |
| 256 | } |
| 257 | return s; |
| 258 | } |
| 259 | |
| 260 | function cubic_real_roots(A, B, C, D) { |
| 261 | if (approximately_zero(A)) { // we're just a quadratic |
| 262 | return quad_real_roots(B, C, D); |
| 263 | } |
| 264 | if (approximately_zero(D)) { // 0 is one root |
| 265 | var s = quad_real_roots(A, B, C); |
| 266 | for (var i = 0; i < s.length; ++i) { |
| 267 | if (approximately_zero(s[i])) { |
| 268 | return s; |
| 269 | } |
| 270 | } |
| 271 | s.push(0); |
| 272 | return s; |
| 273 | } |
| 274 | if (approximately_zero(A + B + C + D)) { // 1 is one root |
| 275 | var s = quad_real_roots(A, A + B, -D); |
| 276 | for (var i = 0; i < s.length; ++i) { |
| 277 | if (approximately_zero(s[i] - 1)) { |
| 278 | return s; |
| 279 | } |
| 280 | } |
| 281 | s.push(1); |
| 282 | return s; |
| 283 | } |
| 284 | var a, b, c; |
| 285 | var invA = 1 / A; |
| 286 | a = B * invA; |
| 287 | b = C * invA; |
| 288 | c = D * invA; |
| 289 | var a2 = a * a; |
| 290 | var Q = (a2 - b * 3) / 9; |
| 291 | var R = (2 * a2 * a - 9 * a * b + 27 * c) / 54; |
| 292 | var R2 = R * R; |
| 293 | var Q3 = Q * Q * Q; |
| 294 | var R2MinusQ3 = R2 - Q3; |
| 295 | var adiv3 = a / 3; |
| 296 | var r; |
| 297 | var roots = []; |
| 298 | if (R2MinusQ3 < 0) { // we have 3 real roots |
| 299 | var theta = Math.acos(R / Math.sqrt(Q3)); |
| 300 | var neg2RootQ = -2 * Math.sqrt(Q); |
| 301 | r = neg2RootQ * Math.cos(theta / 3) - adiv3; |
| 302 | roots.push(r); |
| 303 | r = neg2RootQ * Math.cos((theta + 2 * Math.PI) / 3) - adiv3; |
| 304 | if (!approximately_zero(roots[0] - r)) { |
| 305 | roots.push(r); |
| 306 | } |
| 307 | r = neg2RootQ * Math.cos((theta - 2 * Math.PI) / 3) - adiv3; |
| 308 | if (!approximately_zero(roots[0] - r) && (roots.length == 1 |
| 309 | || !approximately_zero(roots[1] - r))) { |
| 310 | roots.push(r); |
| 311 | } |
| 312 | } else { // we have 1 real root |
| 313 | var sqrtR2MinusQ3 = Math.sqrt(R2MinusQ3); |
| 314 | var A = Math.abs(R) + sqrtR2MinusQ3; |
| 315 | A = Math.pow(A, 1/3); |
| 316 | if (R > 0) { |
| 317 | A = -A; |
| 318 | } |
| 319 | if (A != 0) { |
| 320 | A += Q / A; |
| 321 | } |
| 322 | r = A - adiv3; |
| 323 | roots.push(r); |
| 324 | if (approximately_zero(R2 - Q3)) { |
| 325 | r = -A / 2 - adiv3; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 326 | if (!approximately_zero(roots[0] - r)) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 327 | roots.push(r); |
| 328 | } |
| 329 | } |
| 330 | } |
| 331 | return roots; |
| 332 | } |
| 333 | |
| 334 | function approximately_zero_or_more(tValue) { |
| 335 | return tValue >= -flt_epsilon; |
| 336 | } |
| 337 | |
| 338 | function approximately_one_or_less(tValue) { |
| 339 | return tValue <= 1 + flt_epsilon; |
| 340 | } |
| 341 | |
| 342 | function approximately_less_than_zero(tValue) { |
| 343 | return tValue < flt_epsilon; |
| 344 | } |
| 345 | |
| 346 | function approximately_greater_than_one(tValue) { |
| 347 | return tValue > 1 - flt_epsilon; |
| 348 | } |
| 349 | |
| 350 | function add_valid_ts(s) { |
| 351 | var t = []; |
| 352 | nextRoot: |
| 353 | for (var index = 0; index < s.length; ++index) { |
| 354 | var tValue = s[index]; |
| 355 | if (approximately_zero_or_more(tValue) && approximately_one_or_less(tValue)) { |
| 356 | if (approximately_less_than_zero(tValue)) { |
| 357 | tValue = 0; |
| 358 | } else if (approximately_greater_than_one(tValue)) { |
| 359 | tValue = 1; |
| 360 | } |
| 361 | for (var idx2 = 0; idx2 < t.length; ++idx2) { |
| 362 | if (approximately_zero(t[idx2] - tValue)) { |
| 363 | continue nextRoot; |
| 364 | } |
| 365 | } |
| 366 | t.push(tValue); |
| 367 | } |
| 368 | } |
| 369 | return t; |
| 370 | } |
| 371 | |
| 372 | function quad_roots(A, B, C) { |
| 373 | var s = quad_real_roots(A, B, C); |
| 374 | var foundRoots = add_valid_ts(s); |
| 375 | return foundRoots; |
| 376 | } |
| 377 | |
| 378 | function cubic_roots(A, B, C, D) { |
| 379 | var s = cubic_real_roots(A, B, C, D); |
| 380 | var foundRoots = add_valid_ts(s); |
| 381 | return foundRoots; |
| 382 | } |
| 383 | |
| 384 | function ray_curve_intersect(startPt, endPt, curve) { |
| 385 | var adj = endPt[0] - startPt[0]; |
| 386 | var opp = endPt[1] - startPt[1]; |
| 387 | var r = []; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 388 | var len = (curve.length == 7 ? 6 : curve.length) / 2; |
| 389 | for (var n = 0; n < len; ++n) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 390 | r[n] = (curve[n * 2 + 1] - startPt[1]) * adj - (curve[n * 2] - startPt[0]) * opp; |
| 391 | } |
| 392 | if (curve.length == 6) { |
| 393 | var A = r[2]; |
| 394 | var B = r[1]; |
| 395 | var C = r[0]; |
| 396 | A += C - 2 * B; // A = a - 2*b + c |
| 397 | B -= C; // B = -(b - c) |
| 398 | return quad_roots(A, 2 * B, C); |
| 399 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 400 | if (curve.length == 7) { |
| 401 | var A = r[2]; |
| 402 | var B = r[1] * curve[6]; |
| 403 | var C = r[0]; |
| 404 | A += C - 2 * B; // A = a - 2*b + c |
| 405 | B -= C; // B = -(b - c) |
| 406 | return quad_roots(A, 2 * B, C); |
| 407 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 408 | var A = r[3]; // d |
| 409 | var B = r[2] * 3; // 3*c |
| 410 | var C = r[1] * 3; // 3*b |
| 411 | var D = r[0]; // a |
| 412 | A -= D - C + B; // A = -a + 3*b - 3*c + d |
| 413 | B += 3 * D - 2 * C; // B = 3*a - 6*b + 3*c |
| 414 | C -= 3 * D; // C = -3*a + 3*b |
| 415 | return cubic_roots(A, B, C, D); |
| 416 | } |
| 417 | |
| 418 | function x_at_t(curve, t) { |
| 419 | var one_t = 1 - t; |
| 420 | if (curve.length == 4) { |
| 421 | return one_t * curve[0] + t * curve[2]; |
| 422 | } |
| 423 | var one_t2 = one_t * one_t; |
| 424 | var t2 = t * t; |
| 425 | if (curve.length == 6) { |
| 426 | return one_t2 * curve[0] + 2 * one_t * t * curve[2] + t2 * curve[4]; |
| 427 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 428 | if (curve.length == 7) { |
| 429 | var numer = one_t2 * curve[0] + 2 * one_t * t * curve[2] * curve[6] |
| 430 | + t2 * curve[4]; |
| 431 | var denom = one_t2 + 2 * one_t * t * curve[6] |
| 432 | + t2; |
| 433 | return numer / denom; |
| 434 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 435 | var a = one_t2 * one_t; |
| 436 | var b = 3 * one_t2 * t; |
| 437 | var c = 3 * one_t * t2; |
| 438 | var d = t2 * t; |
| 439 | return a * curve[0] + b * curve[2] + c * curve[4] + d * curve[6]; |
| 440 | } |
| 441 | |
| 442 | function y_at_t(curve, t) { |
| 443 | var one_t = 1 - t; |
| 444 | if (curve.length == 4) { |
| 445 | return one_t * curve[1] + t * curve[3]; |
| 446 | } |
| 447 | var one_t2 = one_t * one_t; |
| 448 | var t2 = t * t; |
| 449 | if (curve.length == 6) { |
| 450 | return one_t2 * curve[1] + 2 * one_t * t * curve[3] + t2 * curve[5]; |
| 451 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 452 | if (curve.length == 7) { |
| 453 | var numer = one_t2 * curve[1] + 2 * one_t * t * curve[3] * curve[6] |
| 454 | + t2 * curve[5]; |
| 455 | var denom = one_t2 + 2 * one_t * t * curve[6] |
| 456 | + t2; |
| 457 | return numer / denom; |
| 458 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 459 | var a = one_t2 * one_t; |
| 460 | var b = 3 * one_t2 * t; |
| 461 | var c = 3 * one_t * t2; |
| 462 | var d = t2 * t; |
| 463 | return a * curve[1] + b * curve[3] + c * curve[5] + d * curve[7]; |
| 464 | } |
| 465 | |
| 466 | function drawPointAtT(curve) { |
| 467 | var x = x_at_t(curve, curveT); |
| 468 | var y = y_at_t(curve, curveT); |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 469 | drawPoint(x, y, false); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 470 | } |
| 471 | |
| 472 | function drawLine(x1, y1, x2, y2) { |
| 473 | ctx.beginPath(); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 474 | ctx.moveTo((x1 - srcLeft) * hscale, |
| 475 | (y1 - srcTop) * vscale); |
| 476 | ctx.lineTo((x2 - srcLeft) * hscale, |
| 477 | (y2 - srcTop) * vscale); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 478 | ctx.stroke(); |
| 479 | } |
| 480 | |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 481 | function drawPoint(px, py, xend) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 482 | for (var pts = 0; pts < drawnPts.length; pts += 2) { |
| 483 | var x = drawnPts[pts]; |
| 484 | var y = drawnPts[pts + 1]; |
| 485 | if (px == x && py == y) { |
| 486 | return; |
| 487 | } |
| 488 | } |
| 489 | drawnPts.push(px); |
| 490 | drawnPts.push(py); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 491 | var _px = (px - srcLeft) * hscale; |
| 492 | var _py = (py - srcTop) * vscale; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 493 | ctx.beginPath(); |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 494 | if (xend) { |
| 495 | ctx.moveTo(_px - 3, _py - 3); |
| 496 | ctx.lineTo(_px + 3, _py + 3); |
| 497 | ctx.moveTo(_px - 3, _py + 3); |
| 498 | ctx.lineTo(_px + 3, _py - 3); |
| 499 | } else { |
| 500 | ctx.arc(_px, _py, 3, 0, Math.PI * 2, true); |
| 501 | ctx.closePath(); |
| 502 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 503 | ctx.stroke(); |
| 504 | if (draw_point_xy) { |
| 505 | var label = px.toFixed(decimal_places) + ", " + py.toFixed(decimal_places); |
| 506 | ctx.font = "normal 10px Arial"; |
| 507 | ctx.textAlign = "left"; |
| 508 | ctx.fillStyle = "black"; |
| 509 | ctx.fillText(label, _px + 5, _py); |
| 510 | } |
| 511 | } |
| 512 | |
| 513 | function drawPointSolid(px, py) { |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 514 | drawPoint(px, py, false); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 515 | ctx.fillStyle = "rgba(0,0,0, 0.4)"; |
| 516 | ctx.fill(); |
| 517 | } |
| 518 | |
| 519 | function crossPt(origin, pt1, pt2) { |
| 520 | return ((pt1[0] - origin[0]) * (pt2[1] - origin[1]) |
| 521 | - (pt1[1] - origin[1]) * (pt2[0] - origin[0])) > 0 ? 0 : 1; |
| 522 | } |
| 523 | |
| 524 | // may not work well for cubics |
| 525 | function curveClosestT(curve, x, y) { |
| 526 | var closest = -1; |
| 527 | var closestDist = Infinity; |
| 528 | var l = Infinity, t = Infinity, r = -Infinity, b = -Infinity; |
| 529 | for (var i = 0; i < 16; ++i) { |
| 530 | var testX = x_at_t(curve, i / 16); |
| 531 | l = Math.min(testX, l); |
| 532 | r = Math.max(testX, r); |
| 533 | var testY = y_at_t(curve, i / 16); |
| 534 | t = Math.min(testY, t); |
| 535 | b = Math.max(testY, b); |
| 536 | var dx = testX - x; |
| 537 | var dy = testY - y; |
| 538 | var dist = dx * dx + dy * dy; |
| 539 | if (closestDist > dist) { |
| 540 | closestDist = dist; |
| 541 | closest = i; |
| 542 | } |
| 543 | } |
| 544 | var boundsX = r - l; |
| 545 | var boundsY = b - t; |
| 546 | var boundsDist = boundsX * boundsX + boundsY * boundsY; |
| 547 | if (closestDist > boundsDist) { |
| 548 | return -1; |
| 549 | } |
| 550 | console.log("closestDist = " + closestDist + " boundsDist = " + boundsDist |
| 551 | + " t = " + closest / 16); |
| 552 | return closest / 16; |
| 553 | } |
| 554 | |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 555 | var kMaxConicToQuadPOW2 = 5; |
| 556 | |
| 557 | function computeQuadPOW2(curve, tol) { |
| 558 | var a = curve[6] - 1; |
| 559 | var k = a / (4 * (2 + a)); |
| 560 | var x = k * (curve[0] - 2 * curve[2] + curve[4]); |
| 561 | var y = k * (curve[1] - 2 * curve[3] + curve[5]); |
| 562 | |
| 563 | var error = Math.sqrt(x * x + y * y); |
| 564 | var pow2; |
| 565 | for (pow2 = 0; pow2 < kMaxConicToQuadPOW2; ++pow2) { |
| 566 | if (error <= tol) { |
| 567 | break; |
| 568 | } |
| 569 | error *= 0.25; |
| 570 | } |
| 571 | return pow2; |
| 572 | } |
| 573 | |
| 574 | function subdivide_w_value(w) { |
| 575 | return Math.sqrt(0.5 + w * 0.5); |
| 576 | } |
| 577 | |
| 578 | function chop(curve, part1, part2) { |
| 579 | var w = curve[6]; |
| 580 | var scale = 1 / (1 + w); |
| 581 | part1[0] = curve[0]; |
| 582 | part1[1] = curve[1]; |
| 583 | part1[2] = (curve[0] + curve[2] * w) * scale; |
| 584 | part1[3] = (curve[1] + curve[3] * w) * scale; |
| 585 | part1[4] = part2[0] = (curve[0] + (curve[2] * w) * 2 + curve[4]) * scale * 0.5; |
| 586 | part1[5] = part2[1] = (curve[1] + (curve[3] * w) * 2 + curve[5]) * scale * 0.5; |
| 587 | part2[2] = (curve[2] * w + curve[4]) * scale; |
| 588 | part2[3] = (curve[3] * w + curve[5]) * scale; |
| 589 | part2[4] = curve[4]; |
| 590 | part2[5] = curve[5]; |
| 591 | part1[6] = part2[6] = subdivide_w_value(w); |
| 592 | } |
| 593 | |
| 594 | function subdivide(curve, level, pts) { |
| 595 | if (0 == level) { |
| 596 | pts.push(curve[2]); |
| 597 | pts.push(curve[3]); |
| 598 | pts.push(curve[4]); |
| 599 | pts.push(curve[5]); |
| 600 | } else { |
| 601 | var part1 = [], part2 = []; |
| 602 | chop(curve, part1, part2); |
| 603 | --level; |
| 604 | subdivide(part1, level, pts); |
| 605 | subdivide(part2, level, pts); |
| 606 | } |
| 607 | } |
| 608 | |
| 609 | function chopIntoQuadsPOW2(curve, pow2, pts) { |
| 610 | subdivide(curve, pow2, pts); |
| 611 | return 1 << pow2; |
| 612 | } |
| 613 | |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 614 | function drawConic(curve, srcLeft, srcTop, hscale, vscale) { |
| 615 | var tol = 1 / Math.min(hscale, vscale); |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 616 | var pow2 = computeQuadPOW2(curve, tol); |
| 617 | var pts = []; |
| 618 | chopIntoQuadsPOW2(curve, pow2, pts); |
| 619 | for (var i = 0; i < pts.length; i += 4) { |
| 620 | ctx.quadraticCurveTo( |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 621 | (pts[i + 0] - srcLeft) * hscale, (pts[i + 1] - srcTop) * vscale, |
| 622 | (pts[i + 2] - srcLeft) * hscale, (pts[i + 3] - srcTop) * vscale); |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 623 | } |
| 624 | } |
| 625 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 626 | function draw(test, title) { |
| 627 | ctx.font = "normal 50px Arial"; |
| 628 | ctx.textAlign = "left"; |
| 629 | ctx.fillStyle = "rgba(0,0,0, 0.1)"; |
| 630 | ctx.fillText(title, 50, 50); |
| 631 | ctx.font = "normal 10px Arial"; |
| 632 | // ctx.lineWidth = "1.001"; "0.999"; |
| 633 | var hullStarts = []; |
| 634 | var hullEnds = []; |
| 635 | var midSpokes = []; |
| 636 | var midDist = []; |
| 637 | var origin = []; |
| 638 | var shortSpokes = []; |
| 639 | var shortDist = []; |
| 640 | var sweeps = []; |
| 641 | drawnPts = []; |
| 642 | for (var curves in test) { |
| 643 | var curve = test[curves]; |
| 644 | origin.push(curve[0]); |
| 645 | origin.push(curve[1]); |
| 646 | var startPt = []; |
| 647 | startPt.push(curve[2]); |
| 648 | startPt.push(curve[3]); |
| 649 | hullStarts.push(startPt); |
| 650 | var endPt = []; |
| 651 | if (curve.length == 4) { |
| 652 | endPt.push(curve[2]); |
| 653 | endPt.push(curve[3]); |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 654 | } else if (curve.length == 6 || curve.length == 7) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 655 | endPt.push(curve[4]); |
| 656 | endPt.push(curve[5]); |
| 657 | } else if (curve.length == 8) { |
| 658 | endPt.push(curve[6]); |
| 659 | endPt.push(curve[7]); |
| 660 | } |
| 661 | hullEnds.push(endPt); |
| 662 | var sweep = crossPt(origin, startPt, endPt); |
| 663 | sweeps.push(sweep); |
| 664 | var midPt = []; |
| 665 | midPt.push(x_at_t(curve, 0.5)); |
| 666 | midPt.push(y_at_t(curve, 0.5)); |
| 667 | midSpokes.push(midPt); |
| 668 | var shortPt = []; |
| 669 | shortPt.push(x_at_t(curve, 0.25)); |
| 670 | shortPt.push(y_at_t(curve, 0.25)); |
| 671 | shortSpokes.push(shortPt); |
| 672 | var dx = midPt[0] - origin[0]; |
| 673 | var dy = midPt[1] - origin[1]; |
| 674 | var dist = Math.sqrt(dx * dx + dy * dy); |
| 675 | midDist.push(dist); |
| 676 | dx = shortPt[0] - origin[0]; |
| 677 | dy = shortPt[1] - origin[1]; |
| 678 | dist = Math.sqrt(dx * dx + dy * dy); |
| 679 | shortDist.push(dist); |
| 680 | } |
| 681 | var intersect = []; |
| 682 | var useIntersect = false; |
| 683 | var maxWidth = Math.max(xmax - xmin, ymax - ymin); |
| 684 | for (var curves in test) { |
| 685 | var curve = test[curves]; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 686 | if (curve.length >= 6 && curve.length <= 8) { |
commit-bot@chromium.org | 8cb1daa | 2014-04-25 12:59:11 +0000 | [diff] [blame] | 687 | var opp = curves == 0 || curves == 1 ? 0 : 1; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 688 | var sects = ray_curve_intersect(origin, hullEnds[opp], curve); |
| 689 | intersect.push(sects); |
| 690 | if (sects.length > 1) { |
| 691 | var intersection = sects[0]; |
| 692 | if (intersection == 0) { |
| 693 | intersection = sects[1]; |
| 694 | } |
| 695 | var ix = x_at_t(curve, intersection) - origin[0]; |
| 696 | var iy = y_at_t(curve, intersection) - origin[1]; |
| 697 | var ex = hullEnds[opp][0] - origin[0]; |
| 698 | var ey = hullEnds[opp][1] - origin[1]; |
| 699 | if (ix * ex >= 0 && iy * ey >= 0) { |
| 700 | var iDist = Math.sqrt(ix * ix + iy * iy); |
| 701 | var eDist = Math.sqrt(ex * ex + ey * ey); |
| 702 | var delta = Math.abs(iDist - eDist) / maxWidth; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 703 | if (delta > (curve.length != 8 ? 1e-5 : 1e-4)) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 704 | useIntersect ^= true; |
| 705 | } |
| 706 | } |
| 707 | } |
| 708 | } |
| 709 | } |
commit-bot@chromium.org | 8cb1daa | 2014-04-25 12:59:11 +0000 | [diff] [blame] | 710 | var midLeft = curves != 0 ? crossPt(origin, midSpokes[0], midSpokes[1]) : 0; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 711 | var firstInside; |
| 712 | if (useIntersect) { |
| 713 | var sect1 = intersect[0].length > 1; |
| 714 | var sIndex = sect1 ? 0 : 1; |
| 715 | var sects = intersect[sIndex]; |
| 716 | var intersection = sects[0]; |
| 717 | if (intersection == 0) { |
| 718 | intersection = sects[1]; |
| 719 | } |
| 720 | var curve = test[sIndex]; |
| 721 | var ix = x_at_t(curve, intersection) - origin[0]; |
| 722 | var iy = y_at_t(curve, intersection) - origin[1]; |
| 723 | var opp = sect1 ? 1 : 0; |
| 724 | var ex = hullEnds[opp][0] - origin[0]; |
| 725 | var ey = hullEnds[opp][1] - origin[1]; |
| 726 | var iDist = ix * ix + iy * iy; |
| 727 | var eDist = ex * ex + ey * ey; |
| 728 | firstInside = (iDist > eDist) ^ (sIndex == 0) ^ sweeps[0]; |
| 729 | // console.log("iDist=" + iDist + " eDist=" + eDist + " sIndex=" + sIndex |
| 730 | // + " sweeps[0]=" + sweeps[0]); |
| 731 | } else { |
| 732 | // console.log("midLeft=" + midLeft); |
| 733 | firstInside = midLeft != 0; |
| 734 | } |
| 735 | var shorter = midDist[1] < midDist[0]; |
| 736 | var shortLeft = shorter ? crossPt(origin, shortSpokes[0], midSpokes[1]) |
| 737 | : crossPt(origin, midSpokes[0], shortSpokes[1]); |
| 738 | var startCross = crossPt(origin, hullStarts[0], hullStarts[1]); |
| 739 | var disallowShort = midLeft == startCross && midLeft == sweeps[0] |
| 740 | && midLeft == sweeps[1]; |
| 741 | |
| 742 | // console.log("midLeft=" + midLeft + " startCross=" + startCross); |
| 743 | var intersectIndex = 0; |
| 744 | for (var curves in test) { |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 745 | var curve = test[draw_id != 2 ? curves : test.length - curves - 1]; |
| 746 | if (curve.length != 4 && curve.length != 6 && curve.length != 7 && curve.length != 8) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 747 | continue; |
| 748 | } |
| 749 | ctx.lineWidth = 1; |
| 750 | if (draw_tangents != 0) { |
caryclark | fa6d656 | 2014-07-29 12:13:28 -0700 | [diff] [blame] | 751 | if (draw_cubic_red ? curve.length == 8 : firstInside == curves) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 752 | ctx.strokeStyle = "rgba(255,0,0, 0.3)"; |
| 753 | } else { |
| 754 | ctx.strokeStyle = "rgba(0,0,255, 0.3)"; |
| 755 | } |
| 756 | drawLine(curve[0], curve[1], curve[2], curve[3]); |
| 757 | if (draw_tangents != 2) { |
| 758 | if (curve.length > 4) drawLine(curve[2], curve[3], curve[4], curve[5]); |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 759 | if (curve.length == 8) drawLine(curve[4], curve[5], curve[6], curve[7]); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 760 | } |
| 761 | if (draw_tangents != 1) { |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 762 | if (curve.length == 6 || curve.length == 7) { |
| 763 | drawLine(curve[0], curve[1], curve[4], curve[5]); |
| 764 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 765 | if (curve.length == 8) drawLine(curve[0], curve[1], curve[6], curve[7]); |
| 766 | } |
| 767 | } |
| 768 | ctx.beginPath(); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 769 | ctx.moveTo((curve[0] - srcLeft) * hscale, (curve[1] - srcTop) * vscale); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 770 | if (curve.length == 4) { |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 771 | ctx.lineTo((curve[2] - srcLeft) * hscale, (curve[3] - srcTop) * vscale); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 772 | } else if (curve.length == 6) { |
| 773 | ctx.quadraticCurveTo( |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 774 | (curve[2] - srcLeft) * hscale, (curve[3] - srcTop) * vscale, |
| 775 | (curve[4] - srcLeft) * hscale, (curve[5] - srcTop) * vscale); |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 776 | } else if (curve.length == 7) { |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 777 | drawConic(curve, srcLeft, srcTop, hscale, vscale); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 778 | } else { |
| 779 | ctx.bezierCurveTo( |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 780 | (curve[2] - srcLeft) * hscale, (curve[3] - srcTop) * vscale, |
| 781 | (curve[4] - srcLeft) * hscale, (curve[5] - srcTop) * vscale, |
| 782 | (curve[6] - srcLeft) * hscale, (curve[7] - srcTop) * vscale); |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 783 | } |
caryclark | fa6d656 | 2014-07-29 12:13:28 -0700 | [diff] [blame] | 784 | if (draw_cubic_red ? curve.length == 8 : firstInside == curves) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 785 | ctx.strokeStyle = "rgba(255,0,0, 1)"; |
| 786 | } else { |
| 787 | ctx.strokeStyle = "rgba(0,0,255, 1)"; |
| 788 | } |
| 789 | ctx.stroke(); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 790 | if (draw_endpoints > 0) { |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 791 | drawPoint(curve[0], curve[1], false); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 792 | if (draw_endpoints > 1 || curve.length == 4) { |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 793 | drawPoint(curve[2], curve[3], curve.length == 4 && draw_endpoints == 3); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 794 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 795 | if (curve.length == 6 || curve.length == 7 || |
| 796 | (draw_endpoints > 1 && curve.length == 8)) { |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 797 | drawPoint(curve[4], curve[5], (curve.length == 6 || curve.length == 7) && draw_endpoints == 3); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 798 | } |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 799 | if (curve.length == 8) { |
| 800 | drawPoint(curve[6], curve[7], curve.length == 8 && draw_endpoints == 3); |
| 801 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 802 | } |
| 803 | if (draw_midpoint != 0) { |
| 804 | if ((curves == 0) == (midLeft == 0)) { |
| 805 | ctx.strokeStyle = "rgba(0,180,127, 0.6)"; |
| 806 | } else { |
| 807 | ctx.strokeStyle = "rgba(127,0,127, 0.6)"; |
| 808 | } |
| 809 | var midX = x_at_t(curve, 0.5); |
| 810 | var midY = y_at_t(curve, 0.5); |
| 811 | drawPointSolid(midX, midY); |
| 812 | if (draw_midpoint > 1) { |
| 813 | drawLine(curve[0], curve[1], midX, midY); |
| 814 | } |
| 815 | } |
| 816 | if (draw_quarterpoint != 0) { |
| 817 | if ((curves == 0) == (shortLeft == 0)) { |
| 818 | ctx.strokeStyle = "rgba(0,191,63, 0.6)"; |
| 819 | } else { |
| 820 | ctx.strokeStyle = "rgba(63,0,191, 0.6)"; |
| 821 | } |
| 822 | var midT = (curves == 0) == shorter ? 0.25 : 0.5; |
| 823 | var midX = x_at_t(curve, midT); |
| 824 | var midY = y_at_t(curve, midT); |
| 825 | drawPointSolid(midX, midY); |
| 826 | if (draw_quarterpoint > 1) { |
| 827 | drawLine(curve[0], curve[1], midX, midY); |
| 828 | } |
| 829 | } |
| 830 | if (draw_sortpoint != 0) { |
| 831 | if ((curves == 0) == ((disallowShort == -1 ? midLeft : shortLeft) == 0)) { |
| 832 | ctx.strokeStyle = "rgba(0,155,37, 0.6)"; |
| 833 | } else { |
| 834 | ctx.strokeStyle = "rgba(37,0,155, 0.6)"; |
| 835 | } |
| 836 | var midT = (curves == 0) == shorter && disallowShort != curves ? 0.25 : 0.5; |
| 837 | console.log("curves=" + curves + " disallowShort=" + disallowShort |
| 838 | + " midLeft=" + midLeft + " shortLeft=" + shortLeft |
| 839 | + " shorter=" + shorter + " midT=" + midT); |
| 840 | var midX = x_at_t(curve, midT); |
| 841 | var midY = y_at_t(curve, midT); |
| 842 | drawPointSolid(midX, midY); |
| 843 | if (draw_sortpoint > 1) { |
| 844 | drawLine(curve[0], curve[1], midX, midY); |
| 845 | } |
| 846 | } |
| 847 | if (draw_ray_intersect != 0) { |
| 848 | ctx.strokeStyle = "rgba(75,45,199, 0.6)"; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 849 | if (curve.length >= 6 && curve.length <= 8) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 850 | var intersections = intersect[intersectIndex]; |
| 851 | for (var i in intersections) { |
| 852 | var intersection = intersections[i]; |
| 853 | var x = x_at_t(curve, intersection); |
| 854 | var y = y_at_t(curve, intersection); |
| 855 | drawPointSolid(x, y); |
| 856 | if (draw_ray_intersect > 1) { |
| 857 | drawLine(curve[0], curve[1], x, y); |
| 858 | } |
| 859 | } |
| 860 | } |
| 861 | ++intersectIndex; |
| 862 | } |
| 863 | if (draw_order) { |
| 864 | var px = x_at_t(curve, 0.75); |
| 865 | var py = y_at_t(curve, 0.75); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 866 | var _px = (px - srcLeft) * hscale; |
| 867 | var _py = (py - srcTop) * vscale; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 868 | ctx.beginPath(); |
| 869 | ctx.arc(_px, _py, 15, 0, Math.PI * 2, true); |
| 870 | ctx.closePath(); |
| 871 | ctx.fillStyle = "white"; |
| 872 | ctx.fill(); |
caryclark | fa6d656 | 2014-07-29 12:13:28 -0700 | [diff] [blame] | 873 | if (draw_cubic_red ? curve.length == 8 : firstInside == curves) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 874 | ctx.strokeStyle = "rgba(255,0,0, 1)"; |
| 875 | ctx.fillStyle = "rgba(255,0,0, 1)"; |
| 876 | } else { |
| 877 | ctx.strokeStyle = "rgba(0,0,255, 1)"; |
| 878 | ctx.fillStyle = "rgba(0,0,255, 1)"; |
| 879 | } |
| 880 | ctx.stroke(); |
| 881 | ctx.font = "normal 16px Arial"; |
| 882 | ctx.textAlign = "center"; |
| 883 | ctx.fillText(parseInt(curves) + 1, _px, _py + 5); |
| 884 | } |
| 885 | if (draw_closest_t) { |
| 886 | var t = curveClosestT(curve, mouseX, mouseY); |
| 887 | if (t >= 0) { |
| 888 | var x = x_at_t(curve, t); |
| 889 | var y = y_at_t(curve, t); |
| 890 | drawPointSolid(x, y); |
| 891 | } |
| 892 | } |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 893 | if (!approximately_zero(hscale - hinitScale)) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 894 | ctx.font = "normal 20px Arial"; |
| 895 | ctx.fillStyle = "rgba(0,0,0, 0.3)"; |
| 896 | ctx.textAlign = "right"; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 897 | var scaleTextOffset = hscale != vscale ? -25 : -5; |
| 898 | ctx.fillText(hscale.toFixed(decimal_places) + 'x', |
| 899 | screenWidth - 10, screenHeight - scaleTextOffset); |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 900 | if (hscale != vscale) { |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 901 | ctx.fillText(vscale.toFixed(decimal_places) + 'y', |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 902 | screenWidth - 10, screenHeight - 5); |
| 903 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 904 | } |
| 905 | if (draw_t) { |
| 906 | drawPointAtT(curve); |
| 907 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 908 | if (draw_id != 0) { |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 909 | var id = -1; |
| 910 | for (var i = 0; i < ids.length; i += 2) { |
| 911 | if (ids[i + 1] == curve) { |
| 912 | id = ids[i]; |
| 913 | break; |
| 914 | } |
| 915 | } |
| 916 | if (id >= 0) { |
| 917 | var px = x_at_t(curve, 0.5); |
| 918 | var py = y_at_t(curve, 0.5); |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 919 | var _px = (px - srcLeft) * hscale; |
| 920 | var _py = (py - srcTop) * vscale; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 921 | ctx.beginPath(); |
| 922 | ctx.arc(_px, _py, 15, 0, Math.PI * 2, true); |
| 923 | ctx.closePath(); |
| 924 | ctx.fillStyle = "white"; |
| 925 | ctx.fill(); |
| 926 | ctx.strokeStyle = "rgba(255,0,0, 1)"; |
| 927 | ctx.fillStyle = "rgba(255,0,0, 1)"; |
| 928 | ctx.stroke(); |
| 929 | ctx.font = "normal 16px Arial"; |
| 930 | ctx.textAlign = "center"; |
| 931 | ctx.fillText(id, _px, _py + 5); |
| 932 | } |
| 933 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 934 | } |
| 935 | if (draw_t) { |
| 936 | drawCurveTControl(); |
| 937 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 938 | if (draw_w) { |
| 939 | drawCurveWControl(); |
| 940 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 941 | } |
| 942 | |
| 943 | function drawCurveTControl() { |
| 944 | ctx.lineWidth = 2; |
| 945 | ctx.strokeStyle = "rgba(0,0,0, 0.3)"; |
| 946 | ctx.beginPath(); |
| 947 | ctx.rect(screenWidth - 80, 40, 28, screenHeight - 80); |
| 948 | ctx.stroke(); |
| 949 | var ty = 40 + curveT * (screenHeight - 80); |
| 950 | ctx.beginPath(); |
| 951 | ctx.moveTo(screenWidth - 80, ty); |
| 952 | ctx.lineTo(screenWidth - 85, ty - 5); |
| 953 | ctx.lineTo(screenWidth - 85, ty + 5); |
| 954 | ctx.lineTo(screenWidth - 80, ty); |
| 955 | ctx.fillStyle = "rgba(0,0,0, 0.6)"; |
| 956 | ctx.fill(); |
| 957 | var num = curveT.toFixed(decimal_places); |
| 958 | ctx.font = "normal 10px Arial"; |
| 959 | ctx.textAlign = "left"; |
| 960 | ctx.fillText(num, screenWidth - 78, ty); |
| 961 | } |
| 962 | |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 963 | function drawCurveWControl() { |
| 964 | var w = -1; |
| 965 | var choice = 0; |
| 966 | for (var curves in tests[testIndex]) { |
| 967 | var curve = tests[testIndex][curves]; |
| 968 | if (curve.length != 7) { |
| 969 | continue; |
| 970 | } |
| 971 | if (choice == curveW) { |
| 972 | w = curve[6]; |
| 973 | break; |
| 974 | } |
| 975 | ++choice; |
| 976 | } |
| 977 | if (w < 0) { |
| 978 | return; |
| 979 | } |
| 980 | ctx.lineWidth = 2; |
| 981 | ctx.strokeStyle = "rgba(0,0,0, 0.3)"; |
| 982 | ctx.beginPath(); |
| 983 | ctx.rect(screenWidth - 40, 40, 28, screenHeight - 80); |
| 984 | ctx.stroke(); |
| 985 | var ty = 40 + w * (screenHeight - 80); |
| 986 | ctx.beginPath(); |
| 987 | ctx.moveTo(screenWidth - 40, ty); |
| 988 | ctx.lineTo(screenWidth - 45, ty - 5); |
| 989 | ctx.lineTo(screenWidth - 45, ty + 5); |
| 990 | ctx.lineTo(screenWidth - 40, ty); |
| 991 | ctx.fillStyle = "rgba(0,0,0, 0.6)"; |
| 992 | ctx.fill(); |
| 993 | var num = w.toFixed(decimal_places); |
| 994 | ctx.font = "normal 10px Arial"; |
| 995 | ctx.textAlign = "left"; |
| 996 | ctx.fillText(num, screenWidth - 38, ty); |
| 997 | } |
| 998 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 999 | function ptInTControl() { |
| 1000 | var e = window.event; |
| 1001 | var tgt = e.target || e.srcElement; |
| 1002 | var left = tgt.offsetLeft; |
| 1003 | var top = tgt.offsetTop; |
| 1004 | var x = (e.clientX - left); |
| 1005 | var y = (e.clientY - top); |
| 1006 | if (x < screenWidth - 80 || x > screenWidth - 50) { |
| 1007 | return false; |
| 1008 | } |
| 1009 | if (y < 40 || y > screenHeight - 80) { |
| 1010 | return false; |
| 1011 | } |
| 1012 | curveT = (y - 40) / (screenHeight - 120); |
| 1013 | if (curveT < 0 || curveT > 1) { |
| 1014 | throw "stop execution"; |
| 1015 | } |
| 1016 | return true; |
| 1017 | } |
| 1018 | |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1019 | function ptInWControl() { |
| 1020 | var e = window.event; |
| 1021 | var tgt = e.target || e.srcElement; |
| 1022 | var left = tgt.offsetLeft; |
| 1023 | var top = tgt.offsetTop; |
| 1024 | var x = (e.clientX - left); |
| 1025 | var y = (e.clientY - top); |
| 1026 | if (x < screenWidth - 40 || x > screenWidth - 10) { |
| 1027 | return false; |
| 1028 | } |
| 1029 | if (y < 40 || y > screenHeight - 80) { |
| 1030 | return false; |
| 1031 | } |
| 1032 | var w = (y - 40) / (screenHeight - 120); |
| 1033 | if (w < 0 || w > 1) { |
| 1034 | throw "stop execution"; |
| 1035 | } |
| 1036 | var choice = 0; |
| 1037 | for (var curves in tests[testIndex]) { |
| 1038 | var curve = tests[testIndex][curves]; |
| 1039 | if (curve.length != 7) { |
| 1040 | continue; |
| 1041 | } |
| 1042 | if (choice == curveW) { |
| 1043 | curve[6] = w; |
| 1044 | break; |
| 1045 | } |
| 1046 | ++choice; |
| 1047 | } |
| 1048 | return true; |
| 1049 | } |
| 1050 | |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1051 | function drawTop() { |
| 1052 | init(tests[testIndex]); |
| 1053 | redraw(); |
| 1054 | } |
| 1055 | |
| 1056 | function redraw() { |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1057 | if (focus_on_selection > 0) { |
| 1058 | var focusXmin = focusYmin = Infinity; |
| 1059 | var focusXmax = focusYmax = -Infinity; |
| 1060 | var choice = 0; |
| 1061 | for (var curves in tests[testIndex]) { |
| 1062 | if (++choice != focus_on_selection) { |
| 1063 | continue; |
| 1064 | } |
| 1065 | var curve = tests[testIndex][curves]; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1066 | var last = curve.length - (curve.length % 2 == 1 ? 1 : 0); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1067 | for (var idx = 0; idx < last; idx += 2) { |
| 1068 | focusXmin = Math.min(focusXmin, curve[idx]); |
| 1069 | focusXmax = Math.max(focusXmax, curve[idx]); |
| 1070 | focusYmin = Math.min(focusYmin, curve[idx + 1]); |
| 1071 | focusYmax = Math.max(focusYmax, curve[idx + 1]); |
| 1072 | } |
| 1073 | } |
| 1074 | focusXmin -= Math.min(1, Math.max(focusXmax - focusXmin, focusYmax - focusYmin)); |
| 1075 | if (focusXmin < focusXmax && focusYmin < focusYmax) { |
| 1076 | setScale(focusXmin, focusXmax, focusYmin, focusYmax); |
| 1077 | } |
| 1078 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1079 | ctx.beginPath(); |
| 1080 | ctx.rect(0, 0, ctx.canvas.width, ctx.canvas.height); |
| 1081 | ctx.fillStyle = "white"; |
| 1082 | ctx.fill(); |
| 1083 | draw(tests[testIndex], testTitles[testIndex]); |
| 1084 | } |
| 1085 | |
| 1086 | function doKeyPress(evt) { |
| 1087 | var char = String.fromCharCode(evt.charCode); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1088 | var focusWasOn = false; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1089 | switch (char) { |
| 1090 | case '0': |
| 1091 | case '1': |
| 1092 | case '2': |
| 1093 | case '3': |
| 1094 | case '4': |
| 1095 | case '5': |
| 1096 | case '6': |
| 1097 | case '7': |
| 1098 | case '8': |
| 1099 | case '9': |
| 1100 | decimal_places = char - '0'; |
| 1101 | redraw(); |
| 1102 | break; |
| 1103 | case '-': |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1104 | focusWasOn = focus_on_selection; |
| 1105 | if (focusWasOn) { |
| 1106 | focus_on_selection = false; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 1107 | hscale /= 1.2; |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 1108 | vscale /= 1.2; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1109 | } else { |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 1110 | hscale /= 2; |
| 1111 | vscale /= 2; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1112 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1113 | calcLeftTop(); |
| 1114 | redraw(); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1115 | focus_on_selection = focusWasOn; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1116 | break; |
| 1117 | case '=': |
| 1118 | case '+': |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1119 | focusWasOn = focus_on_selection; |
| 1120 | if (focusWasOn) { |
| 1121 | focus_on_selection = false; |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 1122 | hscale *= 1.2; |
| 1123 | vscale *= 1.2; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1124 | } else { |
Ben Wagner | 29380bd | 2017-10-09 14:43:00 -0400 | [diff] [blame^] | 1125 | hscale *= 2; |
| 1126 | vscale *= 2; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1127 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1128 | calcLeftTop(); |
| 1129 | redraw(); |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1130 | focus_on_selection = focusWasOn; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1131 | break; |
caryclark | fa6d656 | 2014-07-29 12:13:28 -0700 | [diff] [blame] | 1132 | case 'b': |
| 1133 | draw_cubic_red ^= true; |
| 1134 | redraw(); |
| 1135 | break; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1136 | case 'c': |
| 1137 | drawTop(); |
| 1138 | break; |
| 1139 | case 'd': |
| 1140 | var test = tests[testIndex]; |
| 1141 | var testClone = []; |
| 1142 | for (var curves in test) { |
| 1143 | var c = test[curves]; |
| 1144 | var cClone = []; |
| 1145 | for (var index = 0; index < c.length; ++index) { |
| 1146 | cClone.push(c[index]); |
| 1147 | } |
| 1148 | testClone.push(cClone); |
| 1149 | } |
| 1150 | tests.push(testClone); |
| 1151 | testTitles.push(testTitles[testIndex] + " copy"); |
| 1152 | testIndex = tests.length - 1; |
| 1153 | redraw(); |
| 1154 | break; |
| 1155 | case 'e': |
caryclark | 55888e4 | 2016-07-18 10:01:36 -0700 | [diff] [blame] | 1156 | draw_endpoints = (draw_endpoints + 1) % 4; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1157 | redraw(); |
| 1158 | break; |
| 1159 | case 'f': |
| 1160 | draw_derivative ^= true; |
| 1161 | redraw(); |
| 1162 | break; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 1163 | case 'g': |
| 1164 | hscale *= 1.2; |
| 1165 | calcLeftTop(); |
| 1166 | redraw(); |
| 1167 | break; |
| 1168 | case 'G': |
| 1169 | hscale /= 1.2; |
| 1170 | calcLeftTop(); |
| 1171 | redraw(); |
| 1172 | break; |
| 1173 | case 'h': |
| 1174 | vscale *= 1.2; |
| 1175 | calcLeftTop(); |
| 1176 | redraw(); |
| 1177 | break; |
| 1178 | case 'H': |
| 1179 | vscale /= 1.2; |
| 1180 | calcLeftTop(); |
| 1181 | redraw(); |
| 1182 | break; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1183 | case 'i': |
| 1184 | draw_ray_intersect = (draw_ray_intersect + 1) % 3; |
| 1185 | redraw(); |
| 1186 | break; |
| 1187 | case 'l': |
| 1188 | var test = tests[testIndex]; |
| 1189 | console.log("<div id=\"" + testTitles[testIndex] + "\" >"); |
| 1190 | for (var curves in test) { |
| 1191 | var c = test[curves]; |
| 1192 | var s = "{{"; |
| 1193 | for (var i = 0; i < c.length; i += 2) { |
| 1194 | s += "{"; |
| 1195 | s += c[i] + "," + c[i + 1]; |
| 1196 | s += "}"; |
| 1197 | if (i + 2 < c.length) { |
| 1198 | s += ", "; |
| 1199 | } |
| 1200 | } |
| 1201 | console.log(s + "}},"); |
| 1202 | } |
| 1203 | console.log("</div>"); |
| 1204 | break; |
| 1205 | case 'm': |
| 1206 | draw_midpoint = (draw_midpoint + 1) % 3; |
| 1207 | redraw(); |
| 1208 | break; |
| 1209 | case 'N': |
| 1210 | testIndex += 9; |
| 1211 | case 'n': |
| 1212 | testIndex = (testIndex + 1) % tests.length; |
| 1213 | drawTop(); |
| 1214 | break; |
| 1215 | case 'o': |
| 1216 | draw_order ^= true; |
| 1217 | redraw(); |
| 1218 | break; |
| 1219 | case 'P': |
| 1220 | testIndex -= 9; |
| 1221 | case 'p': |
| 1222 | if (--testIndex < 0) |
| 1223 | testIndex = tests.length - 1; |
| 1224 | drawTop(); |
| 1225 | break; |
| 1226 | case 'q': |
| 1227 | draw_quarterpoint = (draw_quarterpoint + 1) % 3; |
| 1228 | redraw(); |
| 1229 | break; |
| 1230 | case 'r': |
| 1231 | for (var i = 0; i < testDivs.length; ++i) { |
| 1232 | var title = testDivs[i].id.toString(); |
| 1233 | if (title == testTitles[testIndex]) { |
| 1234 | var str = testDivs[i].firstChild.data; |
| 1235 | parse(str, title); |
| 1236 | var original = tests.pop(); |
| 1237 | testTitles.pop(); |
| 1238 | tests[testIndex] = original; |
| 1239 | break; |
| 1240 | } |
| 1241 | } |
| 1242 | redraw(); |
| 1243 | break; |
| 1244 | case 's': |
| 1245 | draw_sortpoint = (draw_sortpoint + 1) % 3; |
| 1246 | redraw(); |
| 1247 | break; |
| 1248 | case 't': |
| 1249 | draw_t ^= true; |
| 1250 | redraw(); |
| 1251 | break; |
| 1252 | case 'u': |
| 1253 | draw_closest_t ^= true; |
| 1254 | redraw(); |
| 1255 | break; |
| 1256 | case 'v': |
| 1257 | draw_tangents = (draw_tangents + 1) % 4; |
| 1258 | redraw(); |
| 1259 | break; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1260 | case 'w': |
| 1261 | ++curveW; |
| 1262 | var choice = 0; |
| 1263 | draw_w = false; |
| 1264 | for (var curves in tests[testIndex]) { |
| 1265 | var curve = tests[testIndex][curves]; |
| 1266 | if (curve.length != 7) { |
| 1267 | continue; |
| 1268 | } |
| 1269 | if (choice == curveW) { |
| 1270 | draw_w = true; |
| 1271 | break; |
| 1272 | } |
| 1273 | ++choice; |
| 1274 | } |
| 1275 | if (!draw_w) { |
| 1276 | curveW = -1; |
| 1277 | } |
| 1278 | redraw(); |
| 1279 | break; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1280 | case 'x': |
| 1281 | draw_point_xy ^= true; |
| 1282 | redraw(); |
| 1283 | break; |
| 1284 | case 'y': |
| 1285 | draw_mouse_xy ^= true; |
| 1286 | redraw(); |
| 1287 | break; |
| 1288 | case '\\': |
| 1289 | retina_scale ^= true; |
| 1290 | drawTop(); |
| 1291 | break; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1292 | case '`': |
| 1293 | ++focus_on_selection; |
| 1294 | if (focus_on_selection >= tests[testIndex].length) { |
| 1295 | focus_on_selection = 0; |
| 1296 | } |
| 1297 | setScale(xmin, xmax, ymin, ymax); |
| 1298 | redraw(); |
| 1299 | break; |
| 1300 | case '.': |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1301 | draw_id = (draw_id + 1) % 3; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1302 | redraw(); |
| 1303 | break; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1304 | } |
| 1305 | } |
| 1306 | |
| 1307 | function doKeyDown(evt) { |
| 1308 | var char = evt.keyCode; |
| 1309 | var preventDefault = false; |
| 1310 | switch (char) { |
| 1311 | case 37: // left arrow |
| 1312 | if (evt.shiftKey) { |
| 1313 | testIndex -= 9; |
| 1314 | } |
| 1315 | if (--testIndex < 0) |
| 1316 | testIndex = tests.length - 1; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1317 | if (evt.ctrlKey) { |
| 1318 | redraw(); |
| 1319 | } else { |
| 1320 | drawTop(); |
| 1321 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1322 | preventDefault = true; |
| 1323 | break; |
| 1324 | case 39: // right arrow |
| 1325 | if (evt.shiftKey) { |
| 1326 | testIndex += 9; |
| 1327 | } |
| 1328 | if (++testIndex >= tests.length) |
| 1329 | testIndex = 0; |
caryclark | 5435929 | 2015-03-26 07:52:43 -0700 | [diff] [blame] | 1330 | if (evt.ctrlKey) { |
| 1331 | redraw(); |
| 1332 | } else { |
| 1333 | drawTop(); |
| 1334 | } |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1335 | preventDefault = true; |
| 1336 | break; |
| 1337 | } |
| 1338 | if (preventDefault) { |
| 1339 | evt.preventDefault(); |
| 1340 | return false; |
| 1341 | } |
| 1342 | return true; |
| 1343 | } |
| 1344 | |
| 1345 | function calcXY() { |
| 1346 | var e = window.event; |
| 1347 | var tgt = e.target || e.srcElement; |
| 1348 | var left = tgt.offsetLeft; |
| 1349 | var top = tgt.offsetTop; |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 1350 | mouseX = (e.clientX - left) / hscale + srcLeft; |
| 1351 | mouseY = (e.clientY - top) / vscale + srcTop; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1352 | } |
| 1353 | |
| 1354 | function calcLeftTop() { |
Cary Clark | 219b4e8 | 2017-05-26 11:36:49 -0400 | [diff] [blame] | 1355 | srcLeft = mouseX - screenWidth / 2 / hscale; |
| 1356 | srcTop = mouseY - screenHeight / 2 / vscale; |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1357 | } |
| 1358 | |
| 1359 | function handleMouseClick() { |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1360 | if ((!draw_t || !ptInTControl()) && (!draw_w || !ptInWControl())) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1361 | calcXY(); |
| 1362 | } else { |
| 1363 | redraw(); |
| 1364 | } |
| 1365 | } |
| 1366 | |
| 1367 | function initDown() { |
| 1368 | var test = tests[testIndex]; |
| 1369 | var bestDistance = 1000000; |
| 1370 | activePt = -1; |
| 1371 | for (var curves in test) { |
| 1372 | var testCurve = test[curves]; |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1373 | if (testCurve.length != 4 && (testCurve.length < 6 || testCurve.length > 8)) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1374 | continue; |
| 1375 | } |
caryclark | 1049f12 | 2015-04-20 08:31:59 -0700 | [diff] [blame] | 1376 | var testMax = testCurve.length == 7 ? 6 : testCurve.length; |
| 1377 | for (var i = 0; i < testMax; i += 2) { |
commit-bot@chromium.org | 4431e77 | 2014-04-14 17:08:59 +0000 | [diff] [blame] | 1378 | var testX = testCurve[i]; |
| 1379 | var testY = testCurve[i + 1]; |
| 1380 | var dx = testX - mouseX; |
| 1381 | var dy = testY - mouseY; |
| 1382 | var dist = dx * dx + dy * dy; |
| 1383 | if (dist > bestDistance) { |
| 1384 | continue; |
| 1385 | } |
| 1386 | activeCurve = testCurve; |
| 1387 | activePt = i; |
| 1388 | bestDistance = dist; |
| 1389 | } |
| 1390 | } |
| 1391 | if (activePt >= 0) { |
| 1392 | lastX = mouseX; |
| 1393 | lastY = mouseY; |
| 1394 | } |
| 1395 | } |
| 1396 | |
| 1397 | function handleMouseOver() { |
| 1398 | calcXY(); |
| 1399 | if (draw_mouse_xy) { |
| 1400 | var num = mouseX.toFixed(decimal_places) + ", " + mouseY.toFixed(decimal_places); |
| 1401 | ctx.beginPath(); |
| 1402 | ctx.rect(300, 100, num.length * 6, 10); |
| 1403 | ctx.fillStyle = "white"; |
| 1404 | ctx.fill(); |
| 1405 | ctx.font = "normal 10px Arial"; |
| 1406 | ctx.fillStyle = "black"; |
| 1407 | ctx.textAlign = "left"; |
| 1408 | ctx.fillText(num, 300, 108); |
| 1409 | } |
| 1410 | if (!mouseDown) { |
| 1411 | activePt = -1; |
| 1412 | return; |
| 1413 | } |
| 1414 | if (activePt < 0) { |
| 1415 | initDown(); |
| 1416 | return; |
| 1417 | } |
| 1418 | var deltaX = mouseX - lastX; |
| 1419 | var deltaY = mouseY - lastY; |
| 1420 | lastX = mouseX; |
| 1421 | lastY = mouseY; |
| 1422 | if (activePt == 0) { |
| 1423 | var test = tests[testIndex]; |
| 1424 | for (var curves in test) { |
| 1425 | var testCurve = test[curves]; |
| 1426 | testCurve[0] += deltaX; |
| 1427 | testCurve[1] += deltaY; |
| 1428 | } |
| 1429 | } else { |
| 1430 | activeCurve[activePt] += deltaX; |
| 1431 | activeCurve[activePt + 1] += deltaY; |
| 1432 | } |
| 1433 | redraw(); |
| 1434 | } |
| 1435 | |
| 1436 | function start() { |
| 1437 | for (var i = 0; i < testDivs.length; ++i) { |
| 1438 | var title = testDivs[i].id.toString(); |
| 1439 | var str = testDivs[i].firstChild.data; |
| 1440 | parse(str, title); |
| 1441 | } |
| 1442 | drawTop(); |
| 1443 | window.addEventListener('keypress', doKeyPress, true); |
| 1444 | window.addEventListener('keydown', doKeyDown, true); |
| 1445 | window.onresize = function () { |
| 1446 | drawTop(); |
| 1447 | } |
| 1448 | } |
| 1449 | |
| 1450 | </script> |
| 1451 | </head> |
| 1452 | |
| 1453 | <body onLoad="start();"> |
| 1454 | |
| 1455 | <canvas id="canvas" width="750" height="500" |
| 1456 | onmousedown="mouseDown = true" |
| 1457 | onmouseup="mouseDown = false" |
| 1458 | onmousemove="handleMouseOver()" |
| 1459 | onclick="handleMouseClick()" |
| 1460 | ></canvas > |
| 1461 | </body> |
| 1462 | </html> |