diff --git a/browser-main.47194e66.js b/browser-main.bc6f941f.js similarity index 96% rename from browser-main.47194e66.js rename to browser-main.bc6f941f.js index b34d8dd..bc2cb55 100644 --- a/browser-main.47194e66.js +++ b/browser-main.bc6f941f.js @@ -13,7 +13,7 @@ parcelRequire=function(e,r,t,n){var i,o="function"==typeof parcelRequire&&parcel },{"react":"HdMw","object-assign":"YOwE","scheduler":"IGIl"}],"X9zx":[function(require,module,exports) { "use strict";function _(){if("undefined"!=typeof __REACT_DEVTOOLS_GLOBAL_HOOK__&&"function"==typeof __REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE){0;try{__REACT_DEVTOOLS_GLOBAL_HOOK__.checkDCE(_)}catch(O){console.error(O)}}}_(),module.exports=require("./cjs/react-dom.production.min.js"); },{"./cjs/react-dom.production.min.js":"jF7N"}],"R99w":[function(require,module,exports) { -"use strict";function e(e,a){return l(e)||r(e,a)||n(e,a)||t()}function t(){throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be 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d=b.type,e=b.pendingProps,e=b.elementType===d?e:lg(d,e),li(a,b,d,e,c);case 1:return d=b.type,e=b.pendingProps,e=b.elementType===d?e:lg(d,e),pi(a,b,d,e,c);case 3:ri(b);d=b.updateQueue;if(null===a||null===d)throw Error(y(282));\nd=b.pendingProps;e=b.memoizedState;e=null!==e?e.element:null;yg(a,b);Cg(b,d,null,c);d=b.memoizedState.element;if(d===e)sh(),b=hi(a,b,c);else{e=b.stateNode;if(f=e.hydrate)kh=rf(b.stateNode.containerInfo.firstChild),jh=b,f=lh=!0;if(f){a=e.mutableSourceEagerHydrationData;if(null!=a)for(e=0;e = () => (\n <>\n {/* Generator: Moho 13.0.3 build 635 */}\n \n \n \n \n \n \n);\n\nconst NUM_WAVES = 8;\nconst WAVE_DURATION = 1;\nconst WAVE_PARALLAX_SCALE_START = 1.2;\nconst WAVE_PARALLAX_TRANSLATE_START = 10;\nconst WAVE_PARALLAX_SCALE_VELOCITY = 1.25;\nconst WAVE_PARALLAX_TRANSLATE_VELOCITY = 30;\nconst WAVE_PARALLAX_TRANSLATE_ACCEL = 10;\n\nconst NumericSlider: React.FC<{\n id: string;\n label: string;\n onChange: (value: number) => void;\n value: number;\n min: number;\n max: number;\n step: number;\n valueSuffix?: string;\n}> = (props) => {\n return (\n

\n \n props.onChange(parseFloat(e.target.value))}\n />\n \n {\" \"}\n {props.value}\n {props.valueSuffix}\n \n

\n );\n};\n\nconst Waves: React.FC<{}> = () => {\n const [numWaves, setNumWaves] = useState(NUM_WAVES);\n const [duration, setDuration] = useState(WAVE_DURATION);\n const [initialYVel, setInitialYVel] = useState(\n WAVE_PARALLAX_TRANSLATE_VELOCITY\n );\n const [yAccel, setYAccel] = useState(WAVE_PARALLAX_TRANSLATE_ACCEL);\n const [scaleVel, setScaleVel] = useState(WAVE_PARALLAX_SCALE_VELOCITY);\n\n let scale = WAVE_PARALLAX_SCALE_START;\n let y = WAVE_PARALLAX_TRANSLATE_START;\n let yVel = initialYVel;\n let waves: JSX.Element[] = [];\n\n for (let i = 0; i < numWaves; i++) {\n waves.push(\n \n \n \n \n \n \n );\n y += yVel;\n scale *= scaleVel;\n yVel += yAccel;\n }\n\n return (\n <>\n \n {waves}\n \n \n \n \n \n \n \n );\n};\n\nexport const WavesPage: React.FC<{}> = () => (\n <>\n

Waves!

\n \n \n);\n","export function float(value: string | number | undefined): number {\r\n if (typeof value === \"number\") return value;\r\n if (value === undefined) value = \"\";\r\n\r\n const float = parseFloat(value);\r\n\r\n if (isNaN(float)) {\r\n throw new Error(`Expected '${value}' to be a float!`);\r\n }\r\n\r\n return float;\r\n}\r\n\r\nexport function flatten(arr: T[][]): T[] {\r\n const result: T[] = [];\r\n\r\n for (let subarr of arr) {\r\n result.push(...subarr);\r\n }\r\n\r\n return result;\r\n}\r\n","\"use strict\";\n\nObject.defineProperty(exports, \"__esModule\", {\n value: true\n});\nexports.Bezier = void 0;\n// math-inlining.\nconst {\n abs,\n cos,\n sin,\n acos,\n atan2,\n sqrt,\n pow\n} = Math; // cube root function yielding real roots\n\nfunction crt(v) {\n return v < 0 ? -pow(-v, 1 / 3) : pow(v, 1 / 3);\n} // trig constants\n\n\nconst pi = Math.PI,\n tau = 2 * pi,\n quart = pi / 2,\n // float precision significant decimal\nepsilon = 0.000001,\n // extremas used in bbox calculation and similar algorithms\nnMax = Number.MAX_SAFE_INTEGER || 9007199254740991,\n nMin = Number.MIN_SAFE_INTEGER || -9007199254740991,\n // a zero coordinate, which is surprisingly useful\nZERO = {\n x: 0,\n y: 0,\n z: 0\n}; // Bezier utility functions\n\nconst utils = {\n // Legendre-Gauss abscissae with n=24 (x_i values, defined at i=n as the roots of the nth order Legendre polynomial Pn(x))\n Tvalues: [-0.0640568928626056260850430826247450385909, 0.0640568928626056260850430826247450385909, -0.1911188674736163091586398207570696318404, 0.1911188674736163091586398207570696318404, -0.3150426796961633743867932913198102407864, 0.3150426796961633743867932913198102407864, -0.4337935076260451384870842319133497124524, 0.4337935076260451384870842319133497124524, -0.5454214713888395356583756172183723700107, 0.5454214713888395356583756172183723700107, -0.6480936519369755692524957869107476266696, 0.6480936519369755692524957869107476266696, -0.7401241915785543642438281030999784255232, 0.7401241915785543642438281030999784255232, -0.8200019859739029219539498726697452080761, 0.8200019859739029219539498726697452080761, -0.8864155270044010342131543419821967550873, 0.8864155270044010342131543419821967550873, -0.9382745520027327585236490017087214496548, 0.9382745520027327585236490017087214496548, -0.9747285559713094981983919930081690617411, 0.9747285559713094981983919930081690617411, -0.9951872199970213601799974097007368118745, 0.9951872199970213601799974097007368118745],\n // Legendre-Gauss weights with n=24 (w_i values, defined by a function linked to in the Bezier primer article)\n Cvalues: [0.1279381953467521569740561652246953718517, 0.1279381953467521569740561652246953718517, 0.1258374563468282961213753825111836887264, 0.1258374563468282961213753825111836887264, 0.121670472927803391204463153476262425607, 0.121670472927803391204463153476262425607, 0.1155056680537256013533444839067835598622, 0.1155056680537256013533444839067835598622, 0.1074442701159656347825773424466062227946, 0.1074442701159656347825773424466062227946, 0.0976186521041138882698806644642471544279, 0.0976186521041138882698806644642471544279, 0.086190161531953275917185202983742667185, 0.086190161531953275917185202983742667185, 0.0733464814110803057340336152531165181193, 0.0733464814110803057340336152531165181193, 0.0592985849154367807463677585001085845412, 0.0592985849154367807463677585001085845412, 0.0442774388174198061686027482113382288593, 0.0442774388174198061686027482113382288593, 0.0285313886289336631813078159518782864491, 0.0285313886289336631813078159518782864491, 0.0123412297999871995468056670700372915759, 0.0123412297999871995468056670700372915759],\n arcfn: function (t, derivativeFn) {\n const d = derivativeFn(t);\n let l = d.x * d.x + d.y * d.y;\n\n if (typeof d.z !== \"undefined\") {\n l += d.z * d.z;\n }\n\n return sqrt(l);\n },\n compute: function (t, points, _3d) {\n // shortcuts\n if (t === 0) {\n points[0].t = 0;\n return points[0];\n }\n\n const order = points.length - 1;\n\n if (t === 1) {\n points[order].t = 1;\n return points[order];\n }\n\n const mt = 1 - t;\n let p = points; // constant?\n\n if (order === 0) {\n points[0].t = t;\n return points[0];\n } // linear?\n\n\n if (order === 1) {\n const ret = {\n x: mt * p[0].x + t * p[1].x,\n y: mt * p[0].y + t * p[1].y,\n t: t\n };\n\n if (_3d) {\n ret.z = mt * p[0].z + t * p[1].z;\n }\n\n return ret;\n } // quadratic/cubic curve?\n\n\n if (order < 4) {\n let mt2 = mt * mt,\n t2 = t * t,\n a,\n b,\n c,\n d = 0;\n\n if (order === 2) {\n p = [p[0], p[1], p[2], ZERO];\n a = mt2;\n b = mt * t * 2;\n c = t2;\n } else if (order === 3) {\n a = mt2 * mt;\n b = mt2 * t * 3;\n c = mt * t2 * 3;\n d = t * t2;\n }\n\n const ret = {\n x: a * p[0].x + b * p[1].x + c * p[2].x + d * p[3].x,\n y: a * p[0].y + b * p[1].y + c * p[2].y + d * p[3].y,\n t: t\n };\n\n if (_3d) {\n ret.z = a * p[0].z + b * p[1].z + c * p[2].z + d * p[3].z;\n }\n\n return ret;\n } // higher order curves: use de Casteljau's computation\n\n\n const dCpts = JSON.parse(JSON.stringify(points));\n\n while (dCpts.length > 1) {\n for (let i = 0; i < dCpts.length - 1; i++) {\n dCpts[i] = {\n x: dCpts[i].x + (dCpts[i + 1].x - dCpts[i].x) * t,\n y: dCpts[i].y + (dCpts[i + 1].y - dCpts[i].y) * t\n };\n\n if (typeof dCpts[i].z !== \"undefined\") {\n dCpts[i] = dCpts[i].z + (dCpts[i + 1].z - dCpts[i].z) * t;\n }\n }\n\n dCpts.splice(dCpts.length - 1, 1);\n }\n\n dCpts[0].t = t;\n return dCpts[0];\n },\n computeWithRatios: function (t, points, ratios, _3d) {\n const mt = 1 - t,\n r = ratios,\n p = points;\n let f1 = r[0],\n f2 = r[1],\n f3 = r[2],\n f4 = r[3],\n d; // spec for linear\n\n f1 *= mt;\n f2 *= t;\n\n if (p.length === 2) {\n d = f1 + f2;\n return {\n x: (f1 * p[0].x + f2 * p[1].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z) / d,\n t: t\n };\n } // upgrade to quadratic\n\n\n f1 *= mt;\n f2 *= 2 * mt;\n f3 *= t * t;\n\n if (p.length === 3) {\n d = f1 + f2 + f3;\n return {\n x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z) / d,\n t: t\n };\n } // upgrade to cubic\n\n\n f1 *= mt;\n f2 *= 1.5 * mt;\n f3 *= 3 * mt;\n f4 *= t * t * t;\n\n if (p.length === 4) {\n d = f1 + f2 + f3 + f4;\n return {\n x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x + f4 * p[3].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y + f4 * p[3].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z + f4 * p[3].z) / d,\n t: t\n };\n }\n },\n derive: function (points, _3d) {\n const dpoints = [];\n\n for (let p = points, d = p.length, c = d - 1; d > 1; d--, c--) {\n const list = [];\n\n for (let j = 0, dpt; j < c; j++) {\n dpt = {\n x: c * (p[j + 1].x - p[j].x),\n y: c * (p[j + 1].y - p[j].y)\n };\n\n if (_3d) {\n dpt.z = c * (p[j + 1].z - p[j].z);\n }\n\n list.push(dpt);\n }\n\n dpoints.push(list);\n p = list;\n }\n\n return dpoints;\n },\n between: function (v, m, M) {\n return m <= v && v <= M || utils.approximately(v, m) || utils.approximately(v, M);\n },\n approximately: function (a, b, precision) {\n return abs(a - b) <= (precision || epsilon);\n },\n length: function (derivativeFn) {\n const z = 0.5,\n len = utils.Tvalues.length;\n let sum = 0;\n\n for (let i = 0, t; i < len; i++) {\n t = z * utils.Tvalues[i] + z;\n sum += utils.Cvalues[i] * utils.arcfn(t, derivativeFn);\n }\n\n return z * sum;\n },\n map: function (v, ds, de, ts, te) {\n const d1 = de - ds,\n d2 = te - ts,\n v2 = v - ds,\n r = v2 / d1;\n return ts + d2 * r;\n },\n lerp: function (r, v1, v2) {\n const ret = {\n x: v1.x + r * (v2.x - v1.x),\n y: v1.y + r * (v2.y - v1.y)\n };\n\n if (!!v1.z && !!v2.z) {\n ret.z = v1.z + r * (v2.z - v1.z);\n }\n\n return ret;\n },\n pointToString: function (p) {\n let s = p.x + \"/\" + p.y;\n\n if (typeof p.z !== \"undefined\") {\n s += \"/\" + p.z;\n }\n\n return s;\n },\n pointsToString: function (points) {\n return \"[\" + points.map(utils.pointToString).join(\", \") + \"]\";\n },\n copy: function (obj) {\n return JSON.parse(JSON.stringify(obj));\n },\n angle: function (o, v1, v2) {\n const dx1 = v1.x - o.x,\n dy1 = v1.y - o.y,\n dx2 = v2.x - o.x,\n dy2 = v2.y - o.y,\n cross = dx1 * dy2 - dy1 * dx2,\n dot = dx1 * dx2 + dy1 * dy2;\n return atan2(cross, dot);\n },\n // round as string, to avoid rounding errors\n round: function (v, d) {\n const s = \"\" + v;\n const pos = s.indexOf(\".\");\n return parseFloat(s.substring(0, pos + 1 + d));\n },\n dist: function (p1, p2) {\n const dx = p1.x - p2.x,\n dy = p1.y - p2.y;\n return sqrt(dx * dx + dy * dy);\n },\n closest: function (LUT, point) {\n let mdist = pow(2, 63),\n mpos,\n d;\n LUT.forEach(function (p, idx) {\n d = utils.dist(point, p);\n\n if (d < mdist) {\n mdist = d;\n mpos = idx;\n }\n });\n return {\n mdist: mdist,\n mpos: mpos\n };\n },\n abcratio: function (t, n) {\n // see ratio(t) note on http://pomax.github.io/bezierinfo/#abc\n if (n !== 2 && n !== 3) {\n return false;\n }\n\n if (typeof t === \"undefined\") {\n t = 0.5;\n } else if (t === 0 || t === 1) {\n return t;\n }\n\n const bottom = pow(t, n) + pow(1 - t, n),\n top = bottom - 1;\n return abs(top / bottom);\n },\n projectionratio: function (t, n) {\n // see u(t) note on http://pomax.github.io/bezierinfo/#abc\n if (n !== 2 && n !== 3) {\n return false;\n }\n\n if (typeof t === \"undefined\") {\n t = 0.5;\n } else if (t === 0 || t === 1) {\n return t;\n }\n\n const top = pow(1 - t, n),\n bottom = pow(t, n) + top;\n return top / bottom;\n },\n lli8: function (x1, y1, x2, y2, x3, y3, x4, y4) {\n const nx = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4),\n ny = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (x3 * y4 - y3 * x4),\n d = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);\n\n if (d == 0) {\n return false;\n }\n\n return {\n x: nx / d,\n y: ny / d\n };\n },\n lli4: function (p1, p2, p3, p4) {\n const x1 = p1.x,\n y1 = p1.y,\n x2 = p2.x,\n y2 = p2.y,\n x3 = p3.x,\n y3 = p3.y,\n x4 = p4.x,\n y4 = p4.y;\n return utils.lli8(x1, y1, x2, y2, x3, y3, x4, y4);\n },\n lli: function (v1, v2) {\n return utils.lli4(v1, v1.c, v2, v2.c);\n },\n makeline: function (p1, p2) {\n const x1 = p1.x,\n y1 = p1.y,\n x2 = p2.x,\n y2 = p2.y,\n dx = (x2 - x1) / 3,\n dy = (y2 - y1) / 3;\n return new Bezier(x1, y1, x1 + dx, y1 + dy, x1 + 2 * dx, y1 + 2 * dy, x2, y2);\n },\n findbbox: function (sections) {\n let mx = nMax,\n my = nMax,\n MX = nMin,\n MY = nMin;\n sections.forEach(function (s) {\n const bbox = s.bbox();\n if (mx > bbox.x.min) mx = bbox.x.min;\n if (my > bbox.y.min) my = bbox.y.min;\n if (MX < bbox.x.max) MX = bbox.x.max;\n if (MY < bbox.y.max) MY = bbox.y.max;\n });\n return {\n x: {\n min: mx,\n mid: (mx + MX) / 2,\n max: MX,\n size: MX - mx\n },\n y: {\n min: my,\n mid: (my + MY) / 2,\n max: MY,\n size: MY - my\n }\n };\n },\n shapeintersections: function (s1, bbox1, s2, bbox2, curveIntersectionThreshold) {\n if (!utils.bboxoverlap(bbox1, bbox2)) return [];\n const intersections = [];\n const a1 = [s1.startcap, s1.forward, s1.back, s1.endcap];\n const a2 = [s2.startcap, s2.forward, s2.back, s2.endcap];\n a1.forEach(function (l1) {\n if (l1.virtual) return;\n a2.forEach(function (l2) {\n if (l2.virtual) return;\n const iss = l1.intersects(l2, curveIntersectionThreshold);\n\n if (iss.length > 0) {\n iss.c1 = l1;\n iss.c2 = l2;\n iss.s1 = s1;\n iss.s2 = s2;\n intersections.push(iss);\n }\n });\n });\n return intersections;\n },\n makeshape: function (forward, back, curveIntersectionThreshold) {\n const bpl = back.points.length;\n const fpl = forward.points.length;\n const start = utils.makeline(back.points[bpl - 1], forward.points[0]);\n const end = utils.makeline(forward.points[fpl - 1], back.points[0]);\n const shape = {\n startcap: start,\n forward: forward,\n back: back,\n endcap: end,\n bbox: utils.findbbox([start, forward, back, end])\n };\n\n shape.intersections = function (s2) {\n return utils.shapeintersections(shape, shape.bbox, s2, s2.bbox, curveIntersectionThreshold);\n };\n\n return shape;\n },\n getminmax: function (curve, d, list) {\n if (!list) return {\n min: 0,\n max: 0\n };\n let min = nMax,\n max = nMin,\n t,\n c;\n\n if (list.indexOf(0) === -1) {\n list = [0].concat(list);\n }\n\n if (list.indexOf(1) === -1) {\n list.push(1);\n }\n\n for (let i = 0, len = list.length; i < len; i++) {\n t = list[i];\n c = curve.get(t);\n\n if (c[d] < min) {\n min = c[d];\n }\n\n if (c[d] > max) {\n max = c[d];\n }\n }\n\n return {\n min: min,\n mid: (min + max) / 2,\n max: max,\n size: max - min\n };\n },\n align: function (points, line) {\n const tx = line.p1.x,\n ty = line.p1.y,\n a = -atan2(line.p2.y - ty, line.p2.x - tx),\n d = function (v) {\n return {\n x: (v.x - tx) * cos(a) - (v.y - ty) * sin(a),\n y: (v.x - tx) * sin(a) + (v.y - ty) * cos(a)\n };\n };\n\n return points.map(d);\n },\n roots: function (points, line) {\n line = line || {\n p1: {\n x: 0,\n y: 0\n },\n p2: {\n x: 1,\n y: 0\n }\n };\n const order = points.length - 1;\n const aligned = utils.align(points, line);\n\n const reduce = function (t) {\n return 0 <= t && t <= 1;\n };\n\n if (order === 2) {\n const a = aligned[0].y,\n b = aligned[1].y,\n c = aligned[2].y,\n d = a - 2 * b + c;\n\n if (d !== 0) {\n const m1 = -sqrt(b * b - a * c),\n m2 = -a + b,\n v1 = -(m1 + m2) / d,\n v2 = -(-m1 + m2) / d;\n return [v1, v2].filter(reduce);\n } else if (b !== c && d === 0) {\n return [(2 * b - c) / (2 * b - 2 * c)].filter(reduce);\n }\n\n return [];\n } // see http://www.trans4mind.com/personal_development/mathematics/polynomials/cubicAlgebra.htm\n\n\n const pa = aligned[0].y,\n pb = aligned[1].y,\n pc = aligned[2].y,\n pd = aligned[3].y;\n let d = -pa + 3 * pb - 3 * pc + pd,\n a = 3 * pa - 6 * pb + 3 * pc,\n b = -3 * pa + 3 * pb,\n c = pa;\n\n if (utils.approximately(d, 0)) {\n // this is not a cubic curve.\n if (utils.approximately(a, 0)) {\n // in fact, this is not a quadratic curve either.\n if (utils.approximately(b, 0)) {\n // in fact in fact, there are no solutions.\n return [];\n } // linear solution:\n\n\n return [-c / b].filter(reduce);\n } // quadratic solution:\n\n\n const q = sqrt(b * b - 4 * a * c),\n a2 = 2 * a;\n return [(q - b) / a2, (-b - q) / a2].filter(reduce);\n } // at this point, we know we need a cubic solution:\n\n\n a /= d;\n b /= d;\n c /= d;\n const p = (3 * b - a * a) / 3,\n p3 = p / 3,\n q = (2 * a * a * a - 9 * a * b + 27 * c) / 27,\n q2 = q / 2,\n discriminant = q2 * q2 + p3 * p3 * p3;\n let u1, v1, x1, x2, x3;\n\n if (discriminant < 0) {\n const mp3 = -p / 3,\n mp33 = mp3 * mp3 * mp3,\n r = sqrt(mp33),\n t = -q / (2 * r),\n cosphi = t < -1 ? -1 : t > 1 ? 1 : t,\n phi = acos(cosphi),\n crtr = crt(r),\n t1 = 2 * crtr;\n x1 = t1 * cos(phi / 3) - a / 3;\n x2 = t1 * cos((phi + tau) / 3) - a / 3;\n x3 = t1 * cos((phi + 2 * tau) / 3) - a / 3;\n return [x1, x2, x3].filter(reduce);\n } else if (discriminant === 0) {\n u1 = q2 < 0 ? crt(-q2) : -crt(q2);\n x1 = 2 * u1 - a / 3;\n x2 = -u1 - a / 3;\n return [x1, x2].filter(reduce);\n } else {\n const sd = sqrt(discriminant);\n u1 = crt(-q2 + sd);\n v1 = crt(q2 + sd);\n return [u1 - v1 - a / 3].filter(reduce);\n }\n },\n droots: function (p) {\n // quadratic roots are easy\n if (p.length === 3) {\n const a = p[0],\n b = p[1],\n c = p[2],\n d = a - 2 * b + c;\n\n if (d !== 0) {\n const m1 = -sqrt(b * b - a * c),\n m2 = -a + b,\n v1 = -(m1 + m2) / d,\n v2 = -(-m1 + m2) / d;\n return [v1, v2];\n } else if (b !== c && d === 0) {\n return [(2 * b - c) / (2 * (b - c))];\n }\n\n return [];\n } // linear roots are even easier\n\n\n if (p.length === 2) {\n const a = p[0],\n b = p[1];\n\n if (a !== b) {\n return [a / (a - b)];\n }\n\n return [];\n }\n\n return [];\n },\n curvature: function (t, d1, d2, _3d, kOnly) {\n let num,\n dnm,\n adk,\n dk,\n k = 0,\n r = 0; //\n // We're using the following formula for curvature:\n //\n // x'y\" - y'x\"\n // k(t) = ------------------\n // (x'² + y'²)^(3/2)\n //\n // from https://en.wikipedia.org/wiki/Radius_of_curvature#Definition\n //\n // With it corresponding 3D counterpart:\n //\n // sqrt( (y'z\" - y\"z')² + (z'x\" - z\"x')² + (x'y\" - x\"y')²)\n // k(t) = -------------------------------------------------------\n // (x'² + y'² + z'²)^(3/2)\n //\n\n const d = utils.compute(t, d1);\n const dd = utils.compute(t, d2);\n const qdsum = d.x * d.x + d.y * d.y;\n\n if (_3d) {\n num = sqrt(pow(d.y * dd.z - dd.y * d.z, 2) + pow(d.z * dd.x - dd.z * d.x, 2) + pow(d.x * dd.y - dd.x * d.y, 2));\n dnm = pow(qdsum + d.z * d.z, 3 / 2);\n } else {\n num = d.x * dd.y - d.y * dd.x;\n dnm = pow(qdsum, 3 / 2);\n }\n\n if (num === 0 || dnm === 0) {\n return {\n k: 0,\n r: 0\n };\n }\n\n k = num / dnm;\n r = dnm / num; // We're also computing the derivative of kappa, because\n // there is value in knowing the rate of change for the\n // curvature along the curve. And we're just going to\n // ballpark it based on an epsilon.\n\n if (!kOnly) {\n // compute k'(t) based on the interval before, and after it,\n // to at least try to not introduce forward/backward pass bias.\n const pk = utils.curvature(t - 0.001, d1, d2, _3d, true).k;\n const nk = utils.curvature(t + 0.001, d1, d2, _3d, true).k;\n dk = (nk - k + (k - pk)) / 2;\n adk = (abs(nk - k) + abs(k - pk)) / 2;\n }\n\n return {\n k: k,\n r: r,\n dk: dk,\n adk: adk\n };\n },\n inflections: function (points) {\n if (points.length < 4) return []; // FIXME: TODO: add in inflection abstraction for quartic+ curves?\n\n const p = utils.align(points, {\n p1: points[0],\n p2: points.slice(-1)[0]\n }),\n a = p[2].x * p[1].y,\n b = p[3].x * p[1].y,\n c = p[1].x * p[2].y,\n d = p[3].x * p[2].y,\n v1 = 18 * (-3 * a + 2 * b + 3 * c - d),\n v2 = 18 * (3 * a - b - 3 * c),\n v3 = 18 * (c - a);\n\n if (utils.approximately(v1, 0)) {\n if (!utils.approximately(v2, 0)) {\n let t = -v3 / v2;\n if (0 <= t && t <= 1) return [t];\n }\n\n return [];\n }\n\n const trm = v2 * v2 - 4 * v1 * v3,\n sq = Math.sqrt(trm),\n d2 = 2 * v1;\n if (utils.approximately(d2, 0)) return [];\n return [(sq - v2) / d2, -(v2 + sq) / d2].filter(function (r) {\n return 0 <= r && r <= 1;\n });\n },\n bboxoverlap: function (b1, b2) {\n const dims = [\"x\", \"y\"],\n len = dims.length;\n\n for (let i = 0, dim, l, t, d; i < len; i++) {\n dim = dims[i];\n l = b1[dim].mid;\n t = b2[dim].mid;\n d = (b1[dim].size + b2[dim].size) / 2;\n if (abs(l - t) >= d) return false;\n }\n\n return true;\n },\n expandbox: function (bbox, _bbox) {\n if (_bbox.x.min < bbox.x.min) {\n bbox.x.min = _bbox.x.min;\n }\n\n if (_bbox.y.min < bbox.y.min) {\n bbox.y.min = _bbox.y.min;\n }\n\n if (_bbox.z && _bbox.z.min < bbox.z.min) {\n bbox.z.min = _bbox.z.min;\n }\n\n if (_bbox.x.max > bbox.x.max) {\n bbox.x.max = _bbox.x.max;\n }\n\n if (_bbox.y.max > bbox.y.max) {\n bbox.y.max = _bbox.y.max;\n }\n\n if (_bbox.z && _bbox.z.max > bbox.z.max) {\n bbox.z.max = _bbox.z.max;\n }\n\n bbox.x.mid = (bbox.x.min + bbox.x.max) / 2;\n bbox.y.mid = (bbox.y.min + bbox.y.max) / 2;\n\n if (bbox.z) {\n bbox.z.mid = (bbox.z.min + bbox.z.max) / 2;\n }\n\n bbox.x.size = bbox.x.max - bbox.x.min;\n bbox.y.size = bbox.y.max - bbox.y.min;\n\n if (bbox.z) {\n bbox.z.size = bbox.z.max - bbox.z.min;\n }\n },\n pairiteration: function (c1, c2, curveIntersectionThreshold) {\n const c1b = c1.bbox(),\n c2b = c2.bbox(),\n r = 100000,\n threshold = curveIntersectionThreshold || 0.5;\n\n if (c1b.x.size + c1b.y.size < threshold && c2b.x.size + c2b.y.size < threshold) {\n return [(r * (c1._t1 + c1._t2) / 2 | 0) / r + \"/\" + (r * (c2._t1 + c2._t2) / 2 | 0) / r];\n }\n\n let cc1 = c1.split(0.5),\n cc2 = c2.split(0.5),\n pairs = [{\n left: cc1.left,\n right: cc2.left\n }, {\n left: cc1.left,\n right: cc2.right\n }, {\n left: cc1.right,\n right: cc2.right\n }, {\n left: cc1.right,\n right: cc2.left\n }];\n pairs = pairs.filter(function (pair) {\n return utils.bboxoverlap(pair.left.bbox(), pair.right.bbox());\n });\n let results = [];\n if (pairs.length === 0) return results;\n pairs.forEach(function (pair) {\n results = results.concat(utils.pairiteration(pair.left, pair.right, threshold));\n });\n results = results.filter(function (v, i) {\n return results.indexOf(v) === i;\n });\n return results;\n },\n getccenter: function (p1, p2, p3) {\n const dx1 = p2.x - p1.x,\n dy1 = p2.y - p1.y,\n dx2 = p3.x - p2.x,\n dy2 = p3.y - p2.y,\n dx1p = dx1 * cos(quart) - dy1 * sin(quart),\n dy1p = dx1 * sin(quart) + dy1 * cos(quart),\n dx2p = dx2 * cos(quart) - dy2 * sin(quart),\n dy2p = dx2 * sin(quart) + dy2 * cos(quart),\n // chord midpoints\n mx1 = (p1.x + p2.x) / 2,\n my1 = (p1.y + p2.y) / 2,\n mx2 = (p2.x + p3.x) / 2,\n my2 = (p2.y + p3.y) / 2,\n // midpoint offsets\n mx1n = mx1 + dx1p,\n my1n = my1 + dy1p,\n mx2n = mx2 + dx2p,\n my2n = my2 + dy2p,\n // intersection of these lines:\n arc = utils.lli8(mx1, my1, mx1n, my1n, mx2, my2, mx2n, my2n),\n r = utils.dist(arc, p1); // arc start/end values, over mid point:\n\n let s = atan2(p1.y - arc.y, p1.x - arc.x),\n m = atan2(p2.y - arc.y, p2.x - arc.x),\n e = atan2(p3.y - arc.y, p3.x - arc.x),\n _; // determine arc direction (cw/ccw correction)\n\n\n if (s < e) {\n // if s m || m > e) {\n s += tau;\n }\n\n if (s > e) {\n _ = e;\n e = s;\n s = _;\n }\n } else {\n // if e 4) {\n if (arguments.length !== 1) {\n throw new Error(\"Only new Bezier(point[]) is accepted for 4th and higher order curves\");\n }\n\n higher = true;\n }\n } else {\n if (len !== 6 && len !== 8 && len !== 9 && len !== 12) {\n if (arguments.length !== 1) {\n throw new Error(\"Only new Bezier(point[]) is accepted for 4th and higher order curves\");\n }\n }\n }\n\n const _3d = this._3d = !higher && (len === 9 || len === 12) || coords && coords[0] && typeof coords[0].z !== \"undefined\";\n\n const points = this.points = [];\n\n for (let idx = 0, step = _3d ? 3 : 2; idx < len; idx += step) {\n var point = {\n x: args[idx],\n y: args[idx + 1]\n };\n\n if (_3d) {\n point.z = args[idx + 2];\n }\n\n points.push(point);\n }\n\n const order = this.order = points.length - 1;\n const dims = this.dims = [\"x\", \"y\"];\n if (_3d) dims.push(\"z\");\n this.dimlen = dims.length;\n const aligned = utils.align(points, {\n p1: points[0],\n p2: points[order]\n });\n this._linear = !aligned.some(p => abs$1(p.y) > 0.0001);\n this._lut = [];\n this._t1 = 0;\n this._t2 = 1;\n this.update();\n }\n\n static quadraticFromPoints(p1, p2, p3, t) {\n if (typeof t === \"undefined\") {\n t = 0.5;\n } // shortcuts, although they're really dumb\n\n\n if (t === 0) {\n return new Bezier(p2, p2, p3);\n }\n\n if (t === 1) {\n return new Bezier(p1, p2, p2);\n } // real fitting.\n\n\n const abc = Bezier.getABC(2, p1, p2, p3, t);\n return new Bezier(p1, abc.A, p3);\n }\n\n static cubicFromPoints(S, B, E, t, d1) {\n if (typeof t === \"undefined\") {\n t = 0.5;\n }\n\n const abc = Bezier.getABC(3, S, B, E, t);\n\n if (typeof d1 === \"undefined\") {\n d1 = utils.dist(B, abc.C);\n }\n\n const d2 = d1 * (1 - t) / t;\n const selen = utils.dist(S, E),\n lx = (E.x - S.x) / selen,\n ly = (E.y - S.y) / selen,\n bx1 = d1 * lx,\n by1 = d1 * ly,\n bx2 = d2 * lx,\n by2 = d2 * ly; // derivation of new hull coordinates\n\n const e1 = {\n x: B.x - bx1,\n y: B.y - by1\n },\n e2 = {\n x: B.x + bx2,\n y: B.y + by2\n },\n A = abc.A,\n v1 = {\n x: A.x + (e1.x - A.x) / (1 - t),\n y: A.y + (e1.y - A.y) / (1 - t)\n },\n v2 = {\n x: A.x + (e2.x - A.x) / t,\n y: A.y + (e2.y - A.y) / t\n },\n nc1 = {\n x: S.x + (v1.x - S.x) / t,\n y: S.y + (v1.y - S.y) / t\n },\n nc2 = {\n x: E.x + (v2.x - E.x) / (1 - t),\n y: E.y + (v2.y - E.y) / (1 - t)\n }; // ...done\n\n return new Bezier(S, nc1, nc2, E);\n }\n\n static getUtils() {\n return utils;\n }\n\n getUtils() {\n return Bezier.getUtils();\n }\n\n static get PolyBezier() {\n return PolyBezier;\n }\n\n valueOf() {\n return this.toString();\n }\n\n toString() {\n return utils.pointsToString(this.points);\n }\n\n toSVG() {\n if (this._3d) return false;\n const p = this.points,\n x = p[0].x,\n y = p[0].y,\n s = [\"M\", x, y, this.order === 2 ? \"Q\" : \"C\"];\n\n for (let i = 1, last = p.length; i < last; i++) {\n s.push(p[i].x);\n s.push(p[i].y);\n }\n\n return s.join(\" \");\n }\n\n setRatios(ratios) {\n if (ratios.length !== this.points.length) {\n throw new Error(\"incorrect number of ratio values\");\n }\n\n this.ratios = ratios;\n this._lut = []; // invalidate any precomputed LUT\n }\n\n verify() {\n const print = this.coordDigest();\n\n if (print !== this._print) {\n this._print = print;\n this.update();\n }\n }\n\n coordDigest() {\n return this.points.map(function (c, pos) {\n return \"\" + pos + c.x + c.y + (c.z ? c.z : 0);\n }).join(\"\");\n }\n\n update() {\n // invalidate any precomputed LUT\n this._lut = [];\n this.dpoints = utils.derive(this.points, this._3d);\n this.computedirection();\n }\n\n computedirection() {\n const points = this.points;\n const angle = utils.angle(points[0], points[this.order], points[1]);\n this.clockwise = angle > 0;\n }\n\n length() {\n return utils.length(this.derivative.bind(this));\n }\n\n static getABC(order = 2, S, B, E, t = 0.5) {\n const u = utils.projectionratio(t, order),\n um = 1 - u,\n C = {\n x: u * S.x + um * E.x,\n y: u * S.y + um * E.y\n },\n s = utils.abcratio(t, order),\n A = {\n x: B.x + (B.x - C.x) / s,\n y: B.y + (B.y - C.y) / s\n };\n return {\n A,\n B,\n C,\n S,\n E\n };\n }\n\n getABC(t, B) {\n B = B || this.get(t);\n let S = this.points[0];\n let E = this.points[this.order];\n return Bezier.getABC(this.order, S, B, E, t);\n }\n\n getLUT(steps) {\n this.verify();\n steps = steps || 100;\n\n if (this._lut.length === steps) {\n return this._lut;\n }\n\n this._lut = []; // We want a range from 0 to 1 inclusive, so\n // we decrement and then use <= rather than <:\n\n steps--;\n\n for (let i = 0, p, t; i < steps; i++) {\n t = i / (steps - 1);\n p = this.compute(t);\n p.t = t;\n\n this._lut.push(p);\n }\n\n return this._lut;\n }\n\n on(point, error) {\n error = error || 5;\n const lut = this.getLUT(),\n hits = [];\n\n for (let i = 0, c, t = 0; i < lut.length; i++) {\n c = lut[i];\n\n if (utils.dist(c, point) < error) {\n hits.push(c);\n t += i / lut.length;\n }\n }\n\n if (!hits.length) return false;\n return t /= hits.length;\n }\n\n project(point) {\n // step 1: coarse check\n const LUT = this.getLUT(),\n l = LUT.length - 1,\n closest = utils.closest(LUT, point),\n mpos = closest.mpos,\n t1 = (mpos - 1) / l,\n t2 = (mpos + 1) / l,\n step = 0.1 / l; // step 2: fine check\n\n let mdist = closest.mdist,\n t = t1,\n ft = t,\n p;\n mdist += 1;\n\n for (let d; t < t2 + step; t += step) {\n p = this.compute(t);\n d = utils.dist(point, p);\n\n if (d < mdist) {\n mdist = d;\n ft = t;\n }\n }\n\n ft = ft < 0 ? 0 : ft > 1 ? 1 : ft;\n p = this.compute(ft);\n p.t = ft;\n p.d = mdist;\n return p;\n }\n\n get(t) {\n return this.compute(t);\n }\n\n point(idx) {\n return this.points[idx];\n }\n\n compute(t) {\n if (this.ratios) {\n return utils.computeWithRatios(t, this.points, this.ratios, this._3d);\n }\n\n return utils.compute(t, this.points, this._3d, this.ratios);\n }\n\n raise() {\n const p = this.points,\n np = [p[0]],\n k = p.length;\n\n for (let i = 1, pi, pim; i < k; i++) {\n pi = p[i];\n pim = p[i - 1];\n np[i] = {\n x: (k - i) / k * pi.x + i / k * pim.x,\n y: (k - i) / k * pi.y + i / k * pim.y\n };\n }\n\n np[k] = p[k - 1];\n return new Bezier(np);\n }\n\n derivative(t) {\n return utils.compute(t, this.dpoints[0]);\n }\n\n dderivative(t) {\n return utils.compute(t, this.dpoints[1]);\n }\n\n align() {\n let p = this.points;\n return new Bezier(utils.align(p, {\n p1: p[0],\n p2: p[p.length - 1]\n }));\n }\n\n curvature(t) {\n return utils.curvature(t, this.dpoints[0], this.dpoints[1], this._3d);\n }\n\n inflections() {\n return utils.inflections(this.points);\n }\n\n normal(t) {\n return this._3d ? this.__normal3(t) : this.__normal2(t);\n }\n\n __normal2(t) {\n const d = this.derivative(t);\n const q = sqrt$1(d.x * d.x + d.y * d.y);\n return {\n x: -d.y / q,\n y: d.x / q\n };\n }\n\n __normal3(t) {\n // see http://stackoverflow.com/questions/25453159\n const r1 = this.derivative(t),\n r2 = this.derivative(t + 0.01),\n q1 = sqrt$1(r1.x * r1.x + r1.y * r1.y + r1.z * r1.z),\n q2 = sqrt$1(r2.x * r2.x + r2.y * r2.y + r2.z * r2.z);\n r1.x /= q1;\n r1.y /= q1;\n r1.z /= q1;\n r2.x /= q2;\n r2.y /= q2;\n r2.z /= q2; // cross product\n\n const c = {\n x: r2.y * r1.z - r2.z * r1.y,\n y: r2.z * r1.x - r2.x * r1.z,\n z: r2.x * r1.y - r2.y * r1.x\n };\n const m = sqrt$1(c.x * c.x + c.y * c.y + c.z * c.z);\n c.x /= m;\n c.y /= m;\n c.z /= m; // rotation matrix\n\n const R = [c.x * c.x, c.x * c.y - c.z, c.x * c.z + c.y, c.x * c.y + c.z, c.y * c.y, c.y * c.z - c.x, c.x * c.z - c.y, c.y * c.z + c.x, c.z * c.z]; // normal vector:\n\n const n = {\n x: R[0] * r1.x + R[1] * r1.y + R[2] * r1.z,\n y: R[3] * r1.x + R[4] * r1.y + R[5] * r1.z,\n z: R[6] * r1.x + R[7] * r1.y + R[8] * r1.z\n };\n return n;\n }\n\n hull(t) {\n let p = this.points,\n _p = [],\n q = [],\n idx = 0;\n q[idx++] = p[0];\n q[idx++] = p[1];\n q[idx++] = p[2];\n\n if (this.order === 3) {\n q[idx++] = p[3];\n } // we lerp between all points at each iteration, until we have 1 point left.\n\n\n while (p.length > 1) {\n _p = [];\n\n for (let i = 0, pt, l = p.length - 1; i < l; i++) {\n pt = utils.lerp(t, p[i], p[i + 1]);\n q[idx++] = pt;\n\n _p.push(pt);\n }\n\n p = _p;\n }\n\n return q;\n }\n\n split(t1, t2) {\n // shortcuts\n if (t1 === 0 && !!t2) {\n return this.split(t2).left;\n }\n\n if (t2 === 1) {\n return this.split(t1).right;\n } // no shortcut: use \"de Casteljau\" iteration.\n\n\n const q = this.hull(t1);\n const result = {\n left: this.order === 2 ? new Bezier([q[0], q[3], q[5]]) : new Bezier([q[0], q[4], q[7], q[9]]),\n right: this.order === 2 ? new Bezier([q[5], q[4], q[2]]) : new Bezier([q[9], q[8], q[6], q[3]]),\n span: q\n }; // make sure we bind _t1/_t2 information!\n\n result.left._t1 = utils.map(0, 0, 1, this._t1, this._t2);\n result.left._t2 = utils.map(t1, 0, 1, this._t1, this._t2);\n result.right._t1 = utils.map(t1, 0, 1, this._t1, this._t2);\n result.right._t2 = utils.map(1, 0, 1, this._t1, this._t2); // if we have no t2, we're done\n\n if (!t2) {\n return result;\n } // if we have a t2, split again:\n\n\n t2 = utils.map(t2, t1, 1, 0, 1);\n return result.right.split(t2).left;\n }\n\n extrema() {\n const result = {};\n let roots = [];\n this.dims.forEach(function (dim) {\n let mfn = function (v) {\n return v[dim];\n };\n\n let p = this.dpoints[0].map(mfn);\n result[dim] = utils.droots(p);\n\n if (this.order === 3) {\n p = this.dpoints[1].map(mfn);\n result[dim] = result[dim].concat(utils.droots(p));\n }\n\n result[dim] = result[dim].filter(function (t) {\n return t >= 0 && t <= 1;\n });\n roots = roots.concat(result[dim].sort(utils.numberSort));\n }.bind(this));\n result.values = roots.sort(utils.numberSort).filter(function (v, idx) {\n return roots.indexOf(v) === idx;\n });\n return result;\n }\n\n bbox() {\n const extrema = this.extrema(),\n result = {};\n this.dims.forEach(function (d) {\n result[d] = utils.getminmax(this, d, extrema[d]);\n }.bind(this));\n return result;\n }\n\n overlaps(curve) {\n const lbbox = this.bbox(),\n tbbox = curve.bbox();\n return utils.bboxoverlap(lbbox, tbbox);\n }\n\n offset(t, d) {\n if (typeof d !== \"undefined\") {\n const c = this.get(t),\n n = this.normal(t);\n const ret = {\n c: c,\n n: n,\n x: c.x + n.x * d,\n y: c.y + n.y * d\n };\n\n if (this._3d) {\n ret.z = c.z + n.z * d;\n }\n\n return ret;\n }\n\n if (this._linear) {\n const nv = this.normal(0),\n coords = this.points.map(function (p) {\n const ret = {\n x: p.x + t * nv.x,\n y: p.y + t * nv.y\n };\n\n if (p.z && nv.z) {\n ret.z = p.z + t * nv.z;\n }\n\n return ret;\n });\n return [new Bezier(coords)];\n }\n\n return this.reduce().map(function (s) {\n if (s._linear) {\n return s.offset(t)[0];\n }\n\n return s.scale(t);\n });\n }\n\n simple() {\n if (this.order === 3) {\n const a1 = utils.angle(this.points[0], this.points[3], this.points[1]);\n const a2 = utils.angle(this.points[0], this.points[3], this.points[2]);\n if (a1 > 0 && a2 < 0 || a1 < 0 && a2 > 0) return false;\n }\n\n const n1 = this.normal(0);\n const n2 = this.normal(1);\n let s = n1.x * n2.x + n1.y * n2.y;\n\n if (this._3d) {\n s += n1.z * n2.z;\n }\n\n return abs$1(acos$1(s)) < pi$1 / 3;\n }\n\n reduce() {\n // TODO: examine these var types in more detail...\n let i,\n t1 = 0,\n t2 = 0,\n step = 0.01,\n segment,\n pass1 = [],\n pass2 = []; // first pass: split on extrema\n\n let extrema = this.extrema().values;\n\n if (extrema.indexOf(0) === -1) {\n extrema = [0].concat(extrema);\n }\n\n if (extrema.indexOf(1) === -1) {\n extrema.push(1);\n }\n\n for (t1 = extrema[0], i = 1; i < extrema.length; i++) {\n t2 = extrema[i];\n segment = this.split(t1, t2);\n segment._t1 = t1;\n segment._t2 = t2;\n pass1.push(segment);\n t1 = t2;\n } // second pass: further reduce these segments to simple segments\n\n\n pass1.forEach(function (p1) {\n t1 = 0;\n t2 = 0;\n\n while (t2 <= 1) {\n for (t2 = t1 + step; t2 <= 1 + step; t2 += step) {\n segment = p1.split(t1, t2);\n\n if (!segment.simple()) {\n t2 -= step;\n\n if (abs$1(t1 - t2) < step) {\n // we can never form a reduction\n return [];\n }\n\n segment = p1.split(t1, t2);\n segment._t1 = utils.map(t1, 0, 1, p1._t1, p1._t2);\n segment._t2 = utils.map(t2, 0, 1, p1._t1, p1._t2);\n pass2.push(segment);\n t1 = t2;\n break;\n }\n }\n }\n\n if (t1 < 1) {\n segment = p1.split(t1, 1);\n segment._t1 = utils.map(t1, 0, 1, p1._t1, p1._t2);\n segment._t2 = p1._t2;\n pass2.push(segment);\n }\n });\n return pass2;\n }\n\n scale(d) {\n const order = this.order;\n let distanceFn = false;\n\n if (typeof d === \"function\") {\n distanceFn = d;\n }\n\n if (distanceFn && order === 2) {\n return this.raise().scale(distanceFn);\n } // TODO: add special handling for degenerate (=linear) curves.\n\n\n const clockwise = this.clockwise;\n const r1 = distanceFn ? distanceFn(0) : d;\n const r2 = distanceFn ? distanceFn(1) : d;\n const v = [this.offset(0, 10), this.offset(1, 10)];\n const points = this.points;\n const np = [];\n const o = utils.lli4(v[0], v[0].c, v[1], v[1].c);\n\n if (!o) {\n throw new Error(\"cannot scale this curve. Try reducing it first.\");\n } // move all points by distance 'd' wrt the origin 'o'\n // move end points by fixed distance along normal.\n\n\n [0, 1].forEach(function (t) {\n const p = np[t * order] = utils.copy(points[t * order]);\n p.x += (t ? r2 : r1) * v[t].n.x;\n p.y += (t ? r2 : r1) * v[t].n.y;\n });\n\n if (!distanceFn) {\n // move control points to lie on the intersection of the offset\n // derivative vector, and the origin-through-control vector\n [0, 1].forEach(t => {\n if (order === 2 && !!t) return;\n const p = np[t * order];\n const d = this.derivative(t);\n const p2 = {\n x: p.x + d.x,\n y: p.y + d.y\n };\n np[t + 1] = utils.lli4(p, p2, o, points[t + 1]);\n });\n return new Bezier(np);\n } // move control points by \"however much necessary to\n // ensure the correct tangent to endpoint\".\n\n\n [0, 1].forEach(function (t) {\n if (order === 2 && !!t) return;\n var p = points[t + 1];\n var ov = {\n x: p.x - o.x,\n y: p.y - o.y\n };\n var rc = distanceFn ? distanceFn((t + 1) / order) : d;\n if (distanceFn && !clockwise) rc = -rc;\n var m = sqrt$1(ov.x * ov.x + ov.y * ov.y);\n ov.x /= m;\n ov.y /= m;\n np[t + 1] = {\n x: p.x + rc * ov.x,\n y: p.y + rc * ov.y\n };\n });\n return new Bezier(np);\n }\n\n outline(d1, d2, d3, d4) {\n d2 = typeof d2 === \"undefined\" ? d1 : d2;\n const reduced = this.reduce(),\n len = reduced.length,\n fcurves = [];\n let bcurves = [],\n p,\n alen = 0,\n tlen = this.length();\n const graduated = typeof d3 !== \"undefined\" && typeof d4 !== \"undefined\";\n\n function linearDistanceFunction(s, e, tlen, alen, slen) {\n return function (v) {\n const f1 = alen / tlen,\n f2 = (alen + slen) / tlen,\n d = e - s;\n return utils.map(v, 0, 1, s + f1 * d, s + f2 * d);\n };\n } // form curve oulines\n\n\n reduced.forEach(function (segment) {\n const slen = segment.length();\n\n if (graduated) {\n fcurves.push(segment.scale(linearDistanceFunction(d1, d3, tlen, alen, slen)));\n bcurves.push(segment.scale(linearDistanceFunction(-d2, -d4, tlen, alen, slen)));\n } else {\n fcurves.push(segment.scale(d1));\n bcurves.push(segment.scale(-d2));\n }\n\n alen += slen;\n }); // reverse the \"return\" outline\n\n bcurves = bcurves.map(function (s) {\n p = s.points;\n\n if (p[3]) {\n s.points = [p[3], p[2], p[1], p[0]];\n } else {\n s.points = [p[2], p[1], p[0]];\n }\n\n return s;\n }).reverse(); // form the endcaps as lines\n\n const fs = fcurves[0].points[0],\n fe = fcurves[len - 1].points[fcurves[len - 1].points.length - 1],\n bs = bcurves[len - 1].points[bcurves[len - 1].points.length - 1],\n be = bcurves[0].points[0],\n ls = utils.makeline(bs, fs),\n le = utils.makeline(fe, be),\n segments = [ls].concat(fcurves).concat([le]).concat(bcurves);\n return new PolyBezier(segments);\n }\n\n outlineshapes(d1, d2, curveIntersectionThreshold) {\n d2 = d2 || d1;\n const outline = this.outline(d1, d2).curves;\n const shapes = [];\n\n for (let i = 1, len = outline.length; i < len / 2; i++) {\n const shape = utils.makeshape(outline[i], outline[len - i], curveIntersectionThreshold);\n shape.startcap.virtual = i > 1;\n shape.endcap.virtual = i < len / 2 - 1;\n shapes.push(shape);\n }\n\n return shapes;\n }\n\n intersects(curve, curveIntersectionThreshold) {\n if (!curve) return this.selfintersects(curveIntersectionThreshold);\n\n if (curve.p1 && curve.p2) {\n return this.lineIntersects(curve);\n }\n\n if (curve instanceof Bezier) {\n curve = curve.reduce();\n }\n\n return this.curveintersects(this.reduce(), curve, curveIntersectionThreshold);\n }\n\n lineIntersects(line) {\n const mx = min(line.p1.x, line.p2.x),\n my = min(line.p1.y, line.p2.y),\n MX = max(line.p1.x, line.p2.x),\n MY = max(line.p1.y, line.p2.y);\n return utils.roots(this.points, line).filter(t => {\n var p = this.get(t);\n return utils.between(p.x, mx, MX) && utils.between(p.y, my, MY);\n });\n }\n\n selfintersects(curveIntersectionThreshold) {\n // \"simple\" curves cannot intersect with their direct\n // neighbour, so for each segment X we check whether\n // it intersects [0:x-2][x+2:last].\n const reduced = this.reduce(),\n len = reduced.length - 2,\n results = [];\n\n for (let i = 0, result, left, right; i < len; i++) {\n left = reduced.slice(i, i + 1);\n right = reduced.slice(i + 2);\n result = this.curveintersects(left, right, curveIntersectionThreshold);\n results.push(...result);\n }\n\n return results;\n }\n\n curveintersects(c1, c2, curveIntersectionThreshold) {\n const pairs = []; // step 1: pair off any overlapping segments\n\n c1.forEach(function (l) {\n c2.forEach(function (r) {\n if (l.overlaps(r)) {\n pairs.push({\n left: l,\n right: r\n });\n }\n });\n }); // step 2: for each pairing, run through the convergence algorithm.\n\n let intersections = [];\n pairs.forEach(function (pair) {\n const result = utils.pairiteration(pair.left, pair.right, curveIntersectionThreshold);\n\n if (result.length > 0) {\n intersections = intersections.concat(result);\n }\n });\n return intersections;\n }\n\n arcs(errorThreshold) {\n errorThreshold = errorThreshold || 0.5;\n return this._iterate(errorThreshold, []);\n }\n\n _error(pc, np1, s, e) {\n const q = (e - s) / 4,\n c1 = this.get(s + q),\n c2 = this.get(e - q),\n ref = utils.dist(pc, np1),\n d1 = utils.dist(pc, c1),\n d2 = utils.dist(pc, c2);\n return abs$1(d1 - ref) + abs$1(d2 - ref);\n }\n\n _iterate(errorThreshold, circles) {\n let t_s = 0,\n t_e = 1,\n safety; // we do a binary search to find the \"good `t` closest to no-longer-good\"\n\n do {\n safety = 0; // step 1: start with the maximum possible arc\n\n t_e = 1; // points:\n\n let np1 = this.get(t_s),\n np2,\n np3,\n arc,\n prev_arc; // booleans:\n\n let curr_good = false,\n prev_good = false,\n done; // numbers:\n\n let t_m = t_e,\n prev_e = 1; // step 2: find the best possible arc\n\n do {\n prev_good = curr_good;\n prev_arc = arc;\n t_m = (t_s + t_e) / 2;\n np2 = this.get(t_m);\n np3 = this.get(t_e);\n arc = utils.getccenter(np1, np2, np3); //also save the t values\n\n arc.interval = {\n start: t_s,\n end: t_e\n };\n\n let error = this._error(arc, np1, t_s, t_e);\n\n curr_good = error <= errorThreshold;\n done = prev_good && !curr_good;\n if (!done) prev_e = t_e; // this arc is fine: we can move 'e' up to see if we can find a wider arc\n\n if (curr_good) {\n // if e is already at max, then we're done for this arc.\n if (t_e >= 1) {\n // make sure we cap at t=1\n arc.interval.end = prev_e = 1;\n prev_arc = arc; // if we capped the arc segment to t=1 we also need to make sure that\n // the arc's end angle is correct with respect to the bezier end point.\n\n if (t_e > 1) {\n let d = {\n x: arc.x + arc.r * cos$1(arc.e),\n y: arc.y + arc.r * sin$1(arc.e)\n };\n arc.e += utils.angle({\n x: arc.x,\n y: arc.y\n }, d, this.get(1));\n }\n\n break;\n } // if not, move it up by half the iteration distance\n\n\n t_e = t_e + (t_e - t_s) / 2;\n } else {\n // this is a bad arc: we need to move 'e' down to find a good arc\n t_e = t_m;\n }\n } while (!done && safety++ < 100);\n\n if (safety >= 100) {\n break;\n } // console.log(\"L835: [F] arc found\", t_s, prev_e, prev_arc.x, prev_arc.y, prev_arc.s, prev_arc.e);\n\n\n prev_arc = prev_arc ? prev_arc : arc;\n circles.push(prev_arc);\n t_s = prev_e;\n } while (t_e < 1);\n\n return circles;\n }\n\n}\n\nexports.Bezier = Bezier;\n","import { Bezier } from \"../vendor/bezier-js\";\r\nimport { float } from \"./util\";\r\n\r\nexport function pathToShapes(path: string): Bezier[][] {\r\n const parts = path.trim().split(\" \");\r\n let x = 0;\r\n let y = 0;\r\n let i = 0;\r\n const shapes: Bezier[][] = [];\r\n let currShape: Bezier[] = [];\r\n\r\n const chomp = () => {\r\n if (i >= parts.length) {\r\n throw new Error(`Ran out of path parts!`);\r\n }\r\n const val = parts[i];\r\n i++;\r\n return val;\r\n };\r\n\r\n const finishCurrShape = () => {\r\n if (currShape.length) {\r\n shapes.push(currShape);\r\n currShape = [];\r\n }\r\n };\r\n\r\n while (i < parts.length) {\r\n const command = chomp();\r\n switch (command) {\r\n case \"M\":\r\n finishCurrShape();\r\n x = float(chomp());\r\n y = float(chomp());\r\n break;\r\n case \"C\":\r\n const x1 = float(chomp());\r\n const y1 = float(chomp());\r\n const x2 = float(chomp());\r\n const y2 = float(chomp());\r\n const endX = float(chomp());\r\n const endY = float(chomp());\r\n currShape.push(new Bezier(x, y, x1, y1, x2, y2, endX, endY));\r\n x = endX;\r\n y = endY;\r\n break;\r\n case \"Z\":\r\n finishCurrShape();\r\n break;\r\n default:\r\n throw new Error(`Unknown SVG path command: '${command}'`);\r\n }\r\n }\r\n\r\n finishCurrShape();\r\n\r\n return shapes;\r\n}\r\n","import { Bezier, Point, BBox, MinMax } from \"../vendor/bezier-js\";\nimport { SVGProps } from \"react\";\n\nimport type { SvgSymbolElement } from \"./vocabulary\";\nimport { flatten, float } from \"./util\";\nimport { pathToShapes } from \"./path\";\n\nexport function getBoundingBoxSize(bbox: BBox): [number, number] {\n const width = bbox.x.max - bbox.x.min;\n const height = bbox.y.max - bbox.y.min;\n\n return [width, height];\n}\n\nexport function getBoundingBoxCenter(bbox: BBox): Point {\n const [width, height] = getBoundingBoxSize(bbox);\n\n return {\n x: bbox.x.min + width / 2,\n y: bbox.y.min + height / 2,\n };\n}\n\nfunction dilateMinMax(minmax: MinMax, amount: number): MinMax {\n return {\n min: minmax.min - amount,\n max: minmax.max + amount,\n };\n}\n\nexport function dilateBoundingBox(bbox: BBox, amount: number): BBox {\n return {\n x: dilateMinMax(bbox.x, amount),\n y: dilateMinMax(bbox.y, amount),\n };\n}\n\nexport function coalesceBoundingBoxes(bboxes: BBox[]): BBox {\n let minX = Infinity;\n let minY = Infinity;\n let maxX = -Infinity;\n let maxY = -Infinity;\n\n if (bboxes.length === 0) {\n throw new Error(`Must have at least one bounding box!`);\n }\n\n for (let bbox of bboxes) {\n if (bbox.x.min < minX) {\n minX = bbox.x.min;\n }\n if (bbox.x.max > maxX) {\n maxX = bbox.x.max;\n }\n if (bbox.y.min < minY) {\n minY = bbox.y.min;\n }\n if (bbox.y.max > maxY) {\n maxY = bbox.y.max;\n }\n }\n\n return { x: { min: minX, max: maxX }, y: { min: minY, max: maxY } };\n}\n\nexport function getBoundingBoxForBeziers(beziers: Bezier[]): BBox {\n return coalesceBoundingBoxes(beziers.map((b) => b.bbox()));\n}\n\nfunction getPathBoundingBox(props: SVGProps): BBox {\n if (!props.d) {\n throw new Error(`SVG path has no 'd' attribute value!`);\n }\n const beziers = flatten(pathToShapes(props.d));\n const bbox = getBoundingBoxForBeziers(beziers);\n return props.strokeWidth\n ? dilateBoundingBox(bbox, float(props.strokeWidth) / 2)\n : bbox;\n}\n\nexport function getSvgBoundingBox(\n element: SvgSymbolElement | SvgSymbolElement[]\n): BBox {\n if (Array.isArray(element)) {\n return coalesceBoundingBoxes(element.map(getSvgBoundingBox));\n }\n switch (element.tagName) {\n case \"g\":\n return getSvgBoundingBox(element.children);\n case \"path\":\n return getPathBoundingBox(element.props);\n }\n}\n","export const STROKE_REPLACEMENT_COLOR = \"#000000\";\r\nexport const FILL_REPLACEMENT_COLOR = \"#ffffff\";\r\n\r\nexport const TAIL_ATTACHMENT_COLOR = \"#ff0000\";\r\nexport const LEG_ATTACHMENT_COLOR = \"#ffff00\";\r\nexport const ARM_ATTACHMENT_COLOR = \"#00ff00\";\r\nexport const HORN_ATTACHMENT_COLOR = \"#00ffff\";\r\nexport const CROWN_ATTACHMENT_COLOR = \"#0000ff\";\r\n\r\nexport const NESTING_BOUNDING_BOX_COLOR = \"#ff00ff\";\r\n","module.exports=[{name:\"antler specs\",bbox:{x:{min:35.927,max:629.328},y:{min:25.248,max:712.6618562874269}},layers:[{tagName:\"g\",props:{id:\"antler\"},children:[{tagName:\"g\",props:{id:\"antler\"},children:[{tagName:\"path\",props:{fill:\"#ffffff\",fillRule:\"evenodd\",stroke:\"#000000\",strokeWidth:\"9\",strokeLinecap:\"round\",strokeLinejoin:\"round\",d:\"M 40.427 654.962 C 40.434 654.952 65.736 595.766 106.485 553.234 C 139.533 518.741 168.576 498.871 190.619 478.539 C 219.266 452.118 260.779 370.246 244.915 305.135 C 223.982 219.222 149.153 195.089 149.143 195.078 C 149.157 195.089 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Mystic Symbolic Vocabulary

\n

\n \n setStroke(e.target.value)}\n id=\"stroke\"\n />{\" \"}\n \n setFill(e.target.value)}\n id=\"fill\"\n />{\" \"}\n \n

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\n \n
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\n \n
\n
\n

Other pages

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+ String.fromCharCode(i)] = i;\n\t\t}\n\t\tvar order2 = Object.getOwnPropertyNames(test2).map(function (n) {\n\t\t\treturn test2[n];\n\t\t});\n\t\tif (order2.join('') !== '0123456789') {\n\t\t\treturn false;\n\t\t}\n\n\t\t// https://bugs.chromium.org/p/v8/issues/detail?id=3056\n\t\tvar test3 = {};\n\t\t'abcdefghijklmnopqrst'.split('').forEach(function (letter) {\n\t\t\ttest3[letter] = letter;\n\t\t});\n\t\tif (Object.keys(Object.assign({}, test3)).join('') !==\n\t\t\t\t'abcdefghijklmnopqrst') {\n\t\t\treturn false;\n\t\t}\n\n\t\treturn true;\n\t} catch (err) {\n\t\t// We don't expect any of the above to throw, but better to be safe.\n\t\treturn false;\n\t}\n}\n\nmodule.exports = shouldUseNative() ? Object.assign : function (target, source) {\n\tvar from;\n\tvar to = toObject(target);\n\tvar symbols;\n\n\tfor (var s = 1; s < arguments.length; s++) {\n\t\tfrom = Object(arguments[s]);\n\n\t\tfor (var key in from) {\n\t\t\tif (hasOwnProperty.call(from, key)) {\n\t\t\t\tto[key] = from[key];\n\t\t\t}\n\t\t}\n\n\t\tif (getOwnPropertySymbols) {\n\t\t\tsymbols = getOwnPropertySymbols(from);\n\t\t\tfor (var i = 0; i < symbols.length; i++) {\n\t\t\t\tif (propIsEnumerable.call(from, symbols[i])) {\n\t\t\t\t\tto[symbols[i]] = from[symbols[i]];\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t}\n\n\treturn to;\n};\n","/** @license React v17.0.1\n * react.production.min.js\n *\n * Copyright (c) Facebook, Inc. and its affiliates.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n'use strict';var l=require(\"object-assign\"),n=60103,p=60106;exports.Fragment=60107;exports.StrictMode=60108;exports.Profiler=60114;var 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d=b.type,e=b.pendingProps,e=b.elementType===d?e:lg(d,e),li(a,b,d,e,c);case 1:return d=b.type,e=b.pendingProps,e=b.elementType===d?e:lg(d,e),pi(a,b,d,e,c);case 3:ri(b);d=b.updateQueue;if(null===a||null===d)throw Error(y(282));\nd=b.pendingProps;e=b.memoizedState;e=null!==e?e.element:null;yg(a,b);Cg(b,d,null,c);d=b.memoizedState.element;if(d===e)sh(),b=hi(a,b,c);else{e=b.stateNode;if(f=e.hydrate)kh=rf(b.stateNode.containerInfo.firstChild),jh=b,f=lh=!0;if(f){a=e.mutableSourceEagerHydrationData;if(null!=a)for(e=0;e = ({ stroke, fill }) => (\n <>\n {/* Generator: Moho 13.0.3 build 635 */}\n \n \n \n \n \n \n);\n\nconst NUM_WAVES = 8;\nconst WAVE_DURATION = 1;\nconst WAVE_PARALLAX_SCALE_START = 1.2;\nconst WAVE_PARALLAX_TRANSLATE_START = 10;\nconst WAVE_PARALLAX_SCALE_VELOCITY = 1.25;\nconst WAVE_PARALLAX_TRANSLATE_VELOCITY = 30;\nconst WAVE_PARALLAX_TRANSLATE_ACCEL = 10;\n\nconst NumericSlider: React.FC<{\n id: string;\n label: string;\n onChange: (value: number) => void;\n value: number;\n min: number;\n max: number;\n step: number;\n valueSuffix?: string;\n}> = (props) => {\n return (\n

\n \n props.onChange(parseFloat(e.target.value))}\n />\n \n {\" \"}\n {props.value}\n {props.valueSuffix}\n \n

\n );\n};\n\nconst Waves: React.FC<{}> = () => {\n const [stroke, setStroke] = useState(WAVE_STROKE);\n const [fill, setFill] = useState(WAVE_FILL);\n const [numWaves, setNumWaves] = useState(NUM_WAVES);\n const [duration, setDuration] = useState(WAVE_DURATION);\n const [initialYVel, setInitialYVel] = useState(\n WAVE_PARALLAX_TRANSLATE_VELOCITY\n );\n const [yAccel, setYAccel] = useState(WAVE_PARALLAX_TRANSLATE_ACCEL);\n const [scaleVel, setScaleVel] = useState(WAVE_PARALLAX_SCALE_VELOCITY);\n\n let scale = WAVE_PARALLAX_SCALE_START;\n let y = WAVE_PARALLAX_TRANSLATE_START;\n let yVel = initialYVel;\n let waves: JSX.Element[] = [];\n\n for (let i = 0; i < numWaves; i++) {\n waves.push(\n \n \n \n \n \n \n );\n y += yVel;\n scale *= scaleVel;\n yVel += yAccel;\n }\n\n return (\n <>\n \n {waves}\n \n

\n \n setStroke(e.target.value)}\n id=\"stroke\"\n />{\" \"}\n \n setFill(e.target.value)}\n id=\"fill\"\n />\n

\n \n \n \n \n \n \n );\n};\n\nexport const WavesPage: React.FC<{}> = () => (\n <>\n

Waves!

\n \n \n);\n","export function float(value: string | number | undefined): number {\r\n if (typeof value === \"number\") return value;\r\n if (value === undefined) value = \"\";\r\n\r\n const float = parseFloat(value);\r\n\r\n if (isNaN(float)) {\r\n throw new Error(`Expected '${value}' to be a float!`);\r\n }\r\n\r\n return float;\r\n}\r\n\r\nexport function flatten(arr: T[][]): T[] {\r\n const result: T[] = [];\r\n\r\n for (let subarr of arr) {\r\n result.push(...subarr);\r\n }\r\n\r\n return result;\r\n}\r\n","\"use strict\";\n\nObject.defineProperty(exports, \"__esModule\", {\n value: true\n});\nexports.Bezier = void 0;\n// math-inlining.\nconst {\n abs,\n cos,\n sin,\n acos,\n atan2,\n sqrt,\n pow\n} = Math; // cube root function yielding real roots\n\nfunction crt(v) {\n return v < 0 ? -pow(-v, 1 / 3) : pow(v, 1 / 3);\n} // trig constants\n\n\nconst pi = Math.PI,\n tau = 2 * pi,\n quart = pi / 2,\n // float precision significant decimal\nepsilon = 0.000001,\n // extremas used in bbox calculation and similar algorithms\nnMax = Number.MAX_SAFE_INTEGER || 9007199254740991,\n nMin = Number.MIN_SAFE_INTEGER || -9007199254740991,\n // a zero coordinate, which is surprisingly useful\nZERO = {\n x: 0,\n y: 0,\n z: 0\n}; // Bezier utility functions\n\nconst utils = {\n // Legendre-Gauss abscissae with n=24 (x_i values, defined at i=n as the roots of the nth order Legendre polynomial Pn(x))\n Tvalues: [-0.0640568928626056260850430826247450385909, 0.0640568928626056260850430826247450385909, -0.1911188674736163091586398207570696318404, 0.1911188674736163091586398207570696318404, -0.3150426796961633743867932913198102407864, 0.3150426796961633743867932913198102407864, -0.4337935076260451384870842319133497124524, 0.4337935076260451384870842319133497124524, -0.5454214713888395356583756172183723700107, 0.5454214713888395356583756172183723700107, -0.6480936519369755692524957869107476266696, 0.6480936519369755692524957869107476266696, -0.7401241915785543642438281030999784255232, 0.7401241915785543642438281030999784255232, -0.8200019859739029219539498726697452080761, 0.8200019859739029219539498726697452080761, -0.8864155270044010342131543419821967550873, 0.8864155270044010342131543419821967550873, -0.9382745520027327585236490017087214496548, 0.9382745520027327585236490017087214496548, -0.9747285559713094981983919930081690617411, 0.9747285559713094981983919930081690617411, -0.9951872199970213601799974097007368118745, 0.9951872199970213601799974097007368118745],\n // Legendre-Gauss weights with n=24 (w_i values, defined by a function linked to in the Bezier primer article)\n Cvalues: [0.1279381953467521569740561652246953718517, 0.1279381953467521569740561652246953718517, 0.1258374563468282961213753825111836887264, 0.1258374563468282961213753825111836887264, 0.121670472927803391204463153476262425607, 0.121670472927803391204463153476262425607, 0.1155056680537256013533444839067835598622, 0.1155056680537256013533444839067835598622, 0.1074442701159656347825773424466062227946, 0.1074442701159656347825773424466062227946, 0.0976186521041138882698806644642471544279, 0.0976186521041138882698806644642471544279, 0.086190161531953275917185202983742667185, 0.086190161531953275917185202983742667185, 0.0733464814110803057340336152531165181193, 0.0733464814110803057340336152531165181193, 0.0592985849154367807463677585001085845412, 0.0592985849154367807463677585001085845412, 0.0442774388174198061686027482113382288593, 0.0442774388174198061686027482113382288593, 0.0285313886289336631813078159518782864491, 0.0285313886289336631813078159518782864491, 0.0123412297999871995468056670700372915759, 0.0123412297999871995468056670700372915759],\n arcfn: function (t, derivativeFn) {\n const d = derivativeFn(t);\n let l = d.x * d.x + d.y * d.y;\n\n if (typeof d.z !== \"undefined\") {\n l += d.z * d.z;\n }\n\n return sqrt(l);\n },\n compute: function (t, points, _3d) {\n // shortcuts\n if (t === 0) {\n points[0].t = 0;\n return points[0];\n }\n\n const order = points.length - 1;\n\n if (t === 1) {\n points[order].t = 1;\n return points[order];\n }\n\n const mt = 1 - t;\n let p = points; // constant?\n\n if (order === 0) {\n points[0].t = t;\n return points[0];\n } // linear?\n\n\n if (order === 1) {\n const ret = {\n x: mt * p[0].x + t * p[1].x,\n y: mt * p[0].y + t * p[1].y,\n t: t\n };\n\n if (_3d) {\n ret.z = mt * p[0].z + t * p[1].z;\n }\n\n return ret;\n } // quadratic/cubic curve?\n\n\n if (order < 4) {\n let mt2 = mt * mt,\n t2 = t * t,\n a,\n b,\n c,\n d = 0;\n\n if (order === 2) {\n p = [p[0], p[1], p[2], ZERO];\n a = mt2;\n b = mt * t * 2;\n c = t2;\n } else if (order === 3) {\n a = mt2 * mt;\n b = mt2 * t * 3;\n c = mt * t2 * 3;\n d = t * t2;\n }\n\n const ret = {\n x: a * p[0].x + b * p[1].x + c * p[2].x + d * p[3].x,\n y: a * p[0].y + b * p[1].y + c * p[2].y + d * p[3].y,\n t: t\n };\n\n if (_3d) {\n ret.z = a * p[0].z + b * p[1].z + c * p[2].z + d * p[3].z;\n }\n\n return ret;\n } // higher order curves: use de Casteljau's computation\n\n\n const dCpts = JSON.parse(JSON.stringify(points));\n\n while (dCpts.length > 1) {\n for (let i = 0; i < dCpts.length - 1; i++) {\n dCpts[i] = {\n x: dCpts[i].x + (dCpts[i + 1].x - dCpts[i].x) * t,\n y: dCpts[i].y + (dCpts[i + 1].y - dCpts[i].y) * t\n };\n\n if (typeof dCpts[i].z !== \"undefined\") {\n dCpts[i] = dCpts[i].z + (dCpts[i + 1].z - dCpts[i].z) * t;\n }\n }\n\n dCpts.splice(dCpts.length - 1, 1);\n }\n\n dCpts[0].t = t;\n return dCpts[0];\n },\n computeWithRatios: function (t, points, ratios, _3d) {\n const mt = 1 - t,\n r = ratios,\n p = points;\n let f1 = r[0],\n f2 = r[1],\n f3 = r[2],\n f4 = r[3],\n d; // spec for linear\n\n f1 *= mt;\n f2 *= t;\n\n if (p.length === 2) {\n d = f1 + f2;\n return {\n x: (f1 * p[0].x + f2 * p[1].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z) / d,\n t: t\n };\n } // upgrade to quadratic\n\n\n f1 *= mt;\n f2 *= 2 * mt;\n f3 *= t * t;\n\n if (p.length === 3) {\n d = f1 + f2 + f3;\n return {\n x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z) / d,\n t: t\n };\n } // upgrade to cubic\n\n\n f1 *= mt;\n f2 *= 1.5 * mt;\n f3 *= 3 * mt;\n f4 *= t * t * t;\n\n if (p.length === 4) {\n d = f1 + f2 + f3 + f4;\n return {\n x: (f1 * p[0].x + f2 * p[1].x + f3 * p[2].x + f4 * p[3].x) / d,\n y: (f1 * p[0].y + f2 * p[1].y + f3 * p[2].y + f4 * p[3].y) / d,\n z: !_3d ? false : (f1 * p[0].z + f2 * p[1].z + f3 * p[2].z + f4 * p[3].z) / d,\n t: t\n };\n }\n },\n derive: function (points, _3d) {\n const dpoints = [];\n\n for (let p = points, d = p.length, c = d - 1; d > 1; d--, c--) {\n const list = [];\n\n for (let j = 0, dpt; j < c; j++) {\n dpt = {\n x: c * (p[j + 1].x - p[j].x),\n y: c * (p[j + 1].y - p[j].y)\n };\n\n if (_3d) {\n dpt.z = c * (p[j + 1].z - p[j].z);\n }\n\n list.push(dpt);\n }\n\n dpoints.push(list);\n p = list;\n }\n\n return dpoints;\n },\n between: function (v, m, M) {\n return m <= v && v <= M || utils.approximately(v, m) || utils.approximately(v, M);\n },\n approximately: function (a, b, precision) {\n return abs(a - b) <= (precision || epsilon);\n },\n length: function (derivativeFn) {\n const z = 0.5,\n len = utils.Tvalues.length;\n let sum = 0;\n\n for (let i = 0, t; i < len; i++) {\n t = z * utils.Tvalues[i] + z;\n sum += utils.Cvalues[i] * utils.arcfn(t, derivativeFn);\n }\n\n return z * sum;\n },\n map: function (v, ds, de, ts, te) {\n const d1 = de - ds,\n d2 = te - ts,\n v2 = v - ds,\n r = v2 / d1;\n return ts + d2 * r;\n },\n lerp: function (r, v1, v2) {\n const ret = {\n x: v1.x + r * (v2.x - v1.x),\n y: v1.y + r * (v2.y - v1.y)\n };\n\n if (!!v1.z && !!v2.z) {\n ret.z = v1.z + r * (v2.z - v1.z);\n }\n\n return ret;\n },\n pointToString: function (p) {\n let s = p.x + \"/\" + p.y;\n\n if (typeof p.z !== \"undefined\") {\n s += \"/\" + p.z;\n }\n\n return s;\n },\n pointsToString: function (points) {\n return \"[\" + points.map(utils.pointToString).join(\", \") + \"]\";\n },\n copy: function (obj) {\n return JSON.parse(JSON.stringify(obj));\n },\n angle: function (o, v1, v2) {\n const dx1 = v1.x - o.x,\n dy1 = v1.y - o.y,\n dx2 = v2.x - o.x,\n dy2 = v2.y - o.y,\n cross = dx1 * dy2 - dy1 * dx2,\n dot = dx1 * dx2 + dy1 * dy2;\n return atan2(cross, dot);\n },\n // round as string, to avoid rounding errors\n round: function (v, d) {\n const s = \"\" + v;\n const pos = s.indexOf(\".\");\n return parseFloat(s.substring(0, pos + 1 + d));\n },\n dist: function (p1, p2) {\n const dx = p1.x - p2.x,\n dy = p1.y - p2.y;\n return sqrt(dx * dx + dy * dy);\n },\n closest: function (LUT, point) {\n let mdist = pow(2, 63),\n mpos,\n d;\n LUT.forEach(function (p, idx) {\n d = utils.dist(point, p);\n\n if (d < mdist) {\n mdist = d;\n mpos = idx;\n }\n });\n return {\n mdist: mdist,\n mpos: mpos\n };\n },\n abcratio: function (t, n) {\n // see ratio(t) note on http://pomax.github.io/bezierinfo/#abc\n if (n !== 2 && n !== 3) {\n return false;\n }\n\n if (typeof t === \"undefined\") {\n t = 0.5;\n } else if (t === 0 || t === 1) {\n return t;\n }\n\n const bottom = pow(t, n) + pow(1 - t, n),\n top = bottom - 1;\n return abs(top / bottom);\n },\n projectionratio: function (t, n) {\n // see u(t) note on http://pomax.github.io/bezierinfo/#abc\n if (n !== 2 && n !== 3) {\n return false;\n }\n\n if (typeof t === \"undefined\") {\n t = 0.5;\n } else if (t === 0 || t === 1) {\n return t;\n }\n\n const top = pow(1 - t, n),\n bottom = pow(t, n) + top;\n return top / bottom;\n },\n lli8: function (x1, y1, x2, y2, x3, y3, x4, y4) {\n const nx = (x1 * y2 - y1 * x2) * (x3 - x4) - (x1 - x2) * (x3 * y4 - y3 * x4),\n ny = (x1 * y2 - y1 * x2) * (y3 - y4) - (y1 - y2) * (x3 * y4 - y3 * x4),\n d = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);\n\n if (d == 0) {\n return false;\n }\n\n return {\n x: nx / d,\n y: ny / d\n };\n },\n lli4: function (p1, p2, p3, p4) {\n const x1 = p1.x,\n y1 = p1.y,\n x2 = p2.x,\n y2 = p2.y,\n x3 = p3.x,\n y3 = p3.y,\n x4 = p4.x,\n y4 = p4.y;\n return utils.lli8(x1, y1, x2, y2, x3, y3, x4, y4);\n },\n lli: function (v1, v2) {\n return utils.lli4(v1, v1.c, v2, v2.c);\n },\n makeline: function (p1, p2) {\n const x1 = p1.x,\n y1 = p1.y,\n x2 = p2.x,\n y2 = p2.y,\n dx = (x2 - x1) / 3,\n dy = (y2 - y1) / 3;\n return new Bezier(x1, y1, x1 + dx, y1 + dy, x1 + 2 * dx, y1 + 2 * dy, x2, y2);\n },\n findbbox: function (sections) {\n let mx = nMax,\n my = nMax,\n MX = nMin,\n MY = nMin;\n sections.forEach(function (s) {\n const bbox = s.bbox();\n if (mx > bbox.x.min) mx = bbox.x.min;\n if (my > bbox.y.min) my = bbox.y.min;\n if (MX < bbox.x.max) MX = bbox.x.max;\n if (MY < bbox.y.max) MY = bbox.y.max;\n });\n return {\n x: {\n min: mx,\n mid: (mx + MX) / 2,\n max: MX,\n size: MX - mx\n },\n y: {\n min: my,\n mid: (my + MY) / 2,\n max: MY,\n size: MY - my\n }\n };\n },\n shapeintersections: function (s1, bbox1, s2, bbox2, curveIntersectionThreshold) {\n if (!utils.bboxoverlap(bbox1, bbox2)) return [];\n const intersections = [];\n const a1 = [s1.startcap, s1.forward, s1.back, s1.endcap];\n const a2 = [s2.startcap, s2.forward, s2.back, s2.endcap];\n a1.forEach(function (l1) {\n if (l1.virtual) return;\n a2.forEach(function (l2) {\n if (l2.virtual) return;\n const iss = l1.intersects(l2, curveIntersectionThreshold);\n\n if (iss.length > 0) {\n iss.c1 = l1;\n iss.c2 = l2;\n iss.s1 = s1;\n iss.s2 = s2;\n intersections.push(iss);\n }\n });\n });\n return intersections;\n },\n makeshape: function (forward, back, curveIntersectionThreshold) {\n const bpl = back.points.length;\n const fpl = forward.points.length;\n const start = utils.makeline(back.points[bpl - 1], forward.points[0]);\n const end = utils.makeline(forward.points[fpl - 1], back.points[0]);\n const shape = {\n startcap: start,\n forward: forward,\n back: back,\n endcap: end,\n bbox: utils.findbbox([start, forward, back, end])\n };\n\n shape.intersections = function (s2) {\n return utils.shapeintersections(shape, shape.bbox, s2, s2.bbox, curveIntersectionThreshold);\n };\n\n return shape;\n },\n getminmax: function (curve, d, list) {\n if (!list) return {\n min: 0,\n max: 0\n };\n let min = nMax,\n max = nMin,\n t,\n c;\n\n if (list.indexOf(0) === -1) {\n list = [0].concat(list);\n }\n\n if (list.indexOf(1) === -1) {\n list.push(1);\n }\n\n for (let i = 0, len = list.length; i < len; i++) {\n t = list[i];\n c = curve.get(t);\n\n if (c[d] < min) {\n min = c[d];\n }\n\n if (c[d] > max) {\n max = c[d];\n }\n }\n\n return {\n min: min,\n mid: (min + max) / 2,\n max: max,\n size: max - min\n };\n },\n align: function (points, line) {\n const tx = line.p1.x,\n ty = line.p1.y,\n a = -atan2(line.p2.y - ty, line.p2.x - tx),\n d = function (v) {\n return {\n x: (v.x - tx) * cos(a) - (v.y - ty) * sin(a),\n y: (v.x - tx) * sin(a) + (v.y - ty) * cos(a)\n };\n };\n\n return points.map(d);\n },\n roots: function (points, line) {\n line = line || {\n p1: {\n x: 0,\n y: 0\n },\n p2: {\n x: 1,\n y: 0\n }\n };\n const order = points.length - 1;\n const aligned = utils.align(points, line);\n\n const reduce = function (t) {\n return 0 <= t && t <= 1;\n };\n\n if (order === 2) {\n const a = aligned[0].y,\n b = aligned[1].y,\n c = aligned[2].y,\n d = a - 2 * b + c;\n\n if (d !== 0) {\n const m1 = -sqrt(b * b - a * c),\n m2 = -a + b,\n v1 = -(m1 + m2) / d,\n v2 = -(-m1 + m2) / d;\n return [v1, v2].filter(reduce);\n } else if (b !== c && d === 0) {\n return [(2 * b - c) / (2 * b - 2 * c)].filter(reduce);\n }\n\n return [];\n } // see http://www.trans4mind.com/personal_development/mathematics/polynomials/cubicAlgebra.htm\n\n\n const pa = aligned[0].y,\n pb = aligned[1].y,\n pc = aligned[2].y,\n pd = aligned[3].y;\n let d = -pa + 3 * pb - 3 * pc + pd,\n a = 3 * pa - 6 * pb + 3 * pc,\n b = -3 * pa + 3 * pb,\n c = pa;\n\n if (utils.approximately(d, 0)) {\n // this is not a cubic curve.\n if (utils.approximately(a, 0)) {\n // in fact, this is not a quadratic curve either.\n if (utils.approximately(b, 0)) {\n // in fact in fact, there are no solutions.\n return [];\n } // linear solution:\n\n\n return [-c / b].filter(reduce);\n } // quadratic solution:\n\n\n const q = sqrt(b * b - 4 * a * c),\n a2 = 2 * a;\n return [(q - b) / a2, (-b - q) / a2].filter(reduce);\n } // at this point, we know we need a cubic solution:\n\n\n a /= d;\n b /= d;\n c /= d;\n const p = (3 * b - a * a) / 3,\n p3 = p / 3,\n q = (2 * a * a * a - 9 * a * b + 27 * c) / 27,\n q2 = q / 2,\n discriminant = q2 * q2 + p3 * p3 * p3;\n let u1, v1, x1, x2, x3;\n\n if (discriminant < 0) {\n const mp3 = -p / 3,\n mp33 = mp3 * mp3 * mp3,\n r = sqrt(mp33),\n t = -q / (2 * r),\n cosphi = t < -1 ? -1 : t > 1 ? 1 : t,\n phi = acos(cosphi),\n crtr = crt(r),\n t1 = 2 * crtr;\n x1 = t1 * cos(phi / 3) - a / 3;\n x2 = t1 * cos((phi + tau) / 3) - a / 3;\n x3 = t1 * cos((phi + 2 * tau) / 3) - a / 3;\n return [x1, x2, x3].filter(reduce);\n } else if (discriminant === 0) {\n u1 = q2 < 0 ? crt(-q2) : -crt(q2);\n x1 = 2 * u1 - a / 3;\n x2 = -u1 - a / 3;\n return [x1, x2].filter(reduce);\n } else {\n const sd = sqrt(discriminant);\n u1 = crt(-q2 + sd);\n v1 = crt(q2 + sd);\n return [u1 - v1 - a / 3].filter(reduce);\n }\n },\n droots: function (p) {\n // quadratic roots are easy\n if (p.length === 3) {\n const a = p[0],\n b = p[1],\n c = p[2],\n d = a - 2 * b + c;\n\n if (d !== 0) {\n const m1 = -sqrt(b * b - a * c),\n m2 = -a + b,\n v1 = -(m1 + m2) / d,\n v2 = -(-m1 + m2) / d;\n return [v1, v2];\n } else if (b !== c && d === 0) {\n return [(2 * b - c) / (2 * (b - c))];\n }\n\n return [];\n } // linear roots are even easier\n\n\n if (p.length === 2) {\n const a = p[0],\n b = p[1];\n\n if (a !== b) {\n return [a / (a - b)];\n }\n\n return [];\n }\n\n return [];\n },\n curvature: function (t, d1, d2, _3d, kOnly) {\n let num,\n dnm,\n adk,\n dk,\n k = 0,\n r = 0; //\n // We're using the following formula for curvature:\n //\n // x'y\" - y'x\"\n // k(t) = ------------------\n // (x'² + y'²)^(3/2)\n //\n // from https://en.wikipedia.org/wiki/Radius_of_curvature#Definition\n //\n // With it corresponding 3D counterpart:\n //\n // sqrt( (y'z\" - y\"z')² + (z'x\" - z\"x')² + (x'y\" - x\"y')²)\n // k(t) = -------------------------------------------------------\n // (x'² + y'² + z'²)^(3/2)\n //\n\n const d = utils.compute(t, d1);\n const dd = utils.compute(t, d2);\n const qdsum = d.x * d.x + d.y * d.y;\n\n if (_3d) {\n num = sqrt(pow(d.y * dd.z - dd.y * d.z, 2) + pow(d.z * dd.x - dd.z * d.x, 2) + pow(d.x * dd.y - dd.x * d.y, 2));\n dnm = pow(qdsum + d.z * d.z, 3 / 2);\n } else {\n num = d.x * dd.y - d.y * dd.x;\n dnm = pow(qdsum, 3 / 2);\n }\n\n if (num === 0 || dnm === 0) {\n return {\n k: 0,\n r: 0\n };\n }\n\n k = num / dnm;\n r = dnm / num; // We're also computing the derivative of kappa, because\n // there is value in knowing the rate of change for the\n // curvature along the curve. And we're just going to\n // ballpark it based on an epsilon.\n\n if (!kOnly) {\n // compute k'(t) based on the interval before, and after it,\n // to at least try to not introduce forward/backward pass bias.\n const pk = utils.curvature(t - 0.001, d1, d2, _3d, true).k;\n const nk = utils.curvature(t + 0.001, d1, d2, _3d, true).k;\n dk = (nk - k + (k - pk)) / 2;\n adk = (abs(nk - k) + abs(k - pk)) / 2;\n }\n\n return {\n k: k,\n r: r,\n dk: dk,\n adk: adk\n };\n },\n inflections: function (points) {\n if (points.length < 4) return []; // FIXME: TODO: add in inflection abstraction for quartic+ curves?\n\n const p = utils.align(points, {\n p1: points[0],\n p2: points.slice(-1)[0]\n }),\n a = p[2].x * p[1].y,\n b = p[3].x * p[1].y,\n c = p[1].x * p[2].y,\n d = p[3].x * p[2].y,\n v1 = 18 * (-3 * a + 2 * b + 3 * c - d),\n v2 = 18 * (3 * a - b - 3 * c),\n v3 = 18 * (c - a);\n\n if (utils.approximately(v1, 0)) {\n if (!utils.approximately(v2, 0)) {\n let t = -v3 / v2;\n if (0 <= t && t <= 1) return [t];\n }\n\n return [];\n }\n\n const trm = v2 * v2 - 4 * v1 * v3,\n sq = Math.sqrt(trm),\n d2 = 2 * v1;\n if (utils.approximately(d2, 0)) return [];\n return [(sq - v2) / d2, -(v2 + sq) / d2].filter(function (r) {\n return 0 <= r && r <= 1;\n });\n },\n bboxoverlap: function (b1, b2) {\n const dims = [\"x\", \"y\"],\n len = dims.length;\n\n for (let i = 0, dim, l, t, d; i < len; i++) {\n dim = dims[i];\n l = b1[dim].mid;\n t = b2[dim].mid;\n d = (b1[dim].size + b2[dim].size) / 2;\n if (abs(l - t) >= d) return false;\n }\n\n return true;\n },\n expandbox: function (bbox, _bbox) {\n if (_bbox.x.min < bbox.x.min) {\n bbox.x.min = _bbox.x.min;\n }\n\n if (_bbox.y.min < bbox.y.min) {\n bbox.y.min = _bbox.y.min;\n }\n\n if (_bbox.z && _bbox.z.min < bbox.z.min) {\n bbox.z.min = _bbox.z.min;\n }\n\n if (_bbox.x.max > bbox.x.max) {\n bbox.x.max = _bbox.x.max;\n }\n\n if (_bbox.y.max > bbox.y.max) {\n bbox.y.max = _bbox.y.max;\n }\n\n if (_bbox.z && _bbox.z.max > bbox.z.max) {\n bbox.z.max = _bbox.z.max;\n }\n\n bbox.x.mid = (bbox.x.min + bbox.x.max) / 2;\n bbox.y.mid = (bbox.y.min + bbox.y.max) / 2;\n\n if (bbox.z) {\n bbox.z.mid = (bbox.z.min + bbox.z.max) / 2;\n }\n\n bbox.x.size = bbox.x.max - bbox.x.min;\n bbox.y.size = bbox.y.max - bbox.y.min;\n\n if (bbox.z) {\n bbox.z.size = bbox.z.max - bbox.z.min;\n }\n },\n pairiteration: function (c1, c2, curveIntersectionThreshold) {\n const c1b = c1.bbox(),\n c2b = c2.bbox(),\n r = 100000,\n threshold = curveIntersectionThreshold || 0.5;\n\n if (c1b.x.size + c1b.y.size < threshold && c2b.x.size + c2b.y.size < threshold) {\n return [(r * (c1._t1 + c1._t2) / 2 | 0) / r + \"/\" + (r * (c2._t1 + c2._t2) / 2 | 0) / r];\n }\n\n let cc1 = c1.split(0.5),\n cc2 = c2.split(0.5),\n pairs = [{\n left: cc1.left,\n right: cc2.left\n }, {\n left: cc1.left,\n right: cc2.right\n }, {\n left: cc1.right,\n right: cc2.right\n }, {\n left: cc1.right,\n right: cc2.left\n }];\n pairs = pairs.filter(function (pair) {\n return utils.bboxoverlap(pair.left.bbox(), pair.right.bbox());\n });\n let results = [];\n if (pairs.length === 0) return results;\n pairs.forEach(function (pair) {\n results = results.concat(utils.pairiteration(pair.left, pair.right, threshold));\n });\n results = results.filter(function (v, i) {\n return results.indexOf(v) === i;\n });\n return results;\n },\n getccenter: function (p1, p2, p3) {\n const dx1 = p2.x - p1.x,\n dy1 = p2.y - p1.y,\n dx2 = p3.x - p2.x,\n dy2 = p3.y - p2.y,\n dx1p = dx1 * cos(quart) - dy1 * sin(quart),\n dy1p = dx1 * sin(quart) + dy1 * cos(quart),\n dx2p = dx2 * cos(quart) - dy2 * sin(quart),\n dy2p = dx2 * sin(quart) + dy2 * cos(quart),\n // chord midpoints\n mx1 = (p1.x + p2.x) / 2,\n my1 = (p1.y + p2.y) / 2,\n mx2 = (p2.x + p3.x) / 2,\n my2 = (p2.y + p3.y) / 2,\n // midpoint offsets\n mx1n = mx1 + dx1p,\n my1n = my1 + dy1p,\n mx2n = mx2 + dx2p,\n my2n = my2 + dy2p,\n // intersection of these lines:\n arc = utils.lli8(mx1, my1, mx1n, my1n, mx2, my2, mx2n, my2n),\n r = utils.dist(arc, p1); // arc start/end values, over mid point:\n\n let s = atan2(p1.y - arc.y, p1.x - arc.x),\n m = atan2(p2.y - arc.y, p2.x - arc.x),\n e = atan2(p3.y - arc.y, p3.x - arc.x),\n _; // determine arc direction (cw/ccw correction)\n\n\n if (s < e) {\n // if s m || m > e) {\n s += tau;\n }\n\n if (s > e) {\n _ = e;\n e = s;\n s = _;\n }\n } else {\n // if e 4) {\n if (arguments.length !== 1) {\n throw new Error(\"Only new Bezier(point[]) is accepted for 4th and higher order curves\");\n }\n\n higher = true;\n }\n } else {\n if (len !== 6 && len !== 8 && len !== 9 && len !== 12) {\n if (arguments.length !== 1) {\n throw new Error(\"Only new Bezier(point[]) is accepted for 4th and higher order curves\");\n }\n }\n }\n\n const _3d = this._3d = !higher && (len === 9 || len === 12) || coords && coords[0] && typeof coords[0].z !== \"undefined\";\n\n const points = this.points = [];\n\n for (let idx = 0, step = _3d ? 3 : 2; idx < len; idx += step) {\n var point = {\n x: args[idx],\n y: args[idx + 1]\n };\n\n if (_3d) {\n point.z = args[idx + 2];\n }\n\n points.push(point);\n }\n\n const order = this.order = points.length - 1;\n const dims = this.dims = [\"x\", \"y\"];\n if (_3d) dims.push(\"z\");\n this.dimlen = dims.length;\n const aligned = utils.align(points, {\n p1: points[0],\n p2: points[order]\n });\n this._linear = !aligned.some(p => abs$1(p.y) > 0.0001);\n this._lut = [];\n this._t1 = 0;\n this._t2 = 1;\n this.update();\n }\n\n static quadraticFromPoints(p1, p2, p3, t) {\n if (typeof t === \"undefined\") {\n t = 0.5;\n } // shortcuts, although they're really dumb\n\n\n if (t === 0) {\n return new Bezier(p2, p2, p3);\n }\n\n if (t === 1) {\n return new Bezier(p1, p2, p2);\n } // real fitting.\n\n\n const abc = Bezier.getABC(2, p1, p2, p3, t);\n return new Bezier(p1, abc.A, p3);\n }\n\n static cubicFromPoints(S, B, E, t, d1) {\n if (typeof t === \"undefined\") {\n t = 0.5;\n }\n\n const abc = Bezier.getABC(3, S, B, E, t);\n\n if (typeof d1 === \"undefined\") {\n d1 = utils.dist(B, abc.C);\n }\n\n const d2 = d1 * (1 - t) / t;\n const selen = utils.dist(S, E),\n lx = (E.x - S.x) / selen,\n ly = (E.y - S.y) / selen,\n bx1 = d1 * lx,\n by1 = d1 * ly,\n bx2 = d2 * lx,\n by2 = d2 * ly; // derivation of new hull coordinates\n\n const e1 = {\n x: B.x - bx1,\n y: B.y - by1\n },\n e2 = {\n x: B.x + bx2,\n y: B.y + by2\n },\n A = abc.A,\n v1 = {\n x: A.x + (e1.x - A.x) / (1 - t),\n y: A.y + (e1.y - A.y) / (1 - t)\n },\n v2 = {\n x: A.x + (e2.x - A.x) / t,\n y: A.y + (e2.y - A.y) / t\n },\n nc1 = {\n x: S.x + (v1.x - S.x) / t,\n y: S.y + (v1.y - S.y) / t\n },\n nc2 = {\n x: E.x + (v2.x - E.x) / (1 - t),\n y: E.y + (v2.y - E.y) / (1 - t)\n }; // ...done\n\n return new Bezier(S, nc1, nc2, E);\n }\n\n static getUtils() {\n return utils;\n }\n\n getUtils() {\n return Bezier.getUtils();\n }\n\n static get PolyBezier() {\n return PolyBezier;\n }\n\n valueOf() {\n return this.toString();\n }\n\n toString() {\n return utils.pointsToString(this.points);\n }\n\n toSVG() {\n if (this._3d) return false;\n const p = this.points,\n x = p[0].x,\n y = p[0].y,\n s = [\"M\", x, y, this.order === 2 ? \"Q\" : \"C\"];\n\n for (let i = 1, last = p.length; i < last; i++) {\n s.push(p[i].x);\n s.push(p[i].y);\n }\n\n return s.join(\" \");\n }\n\n setRatios(ratios) {\n if (ratios.length !== this.points.length) {\n throw new Error(\"incorrect number of ratio values\");\n }\n\n this.ratios = ratios;\n this._lut = []; // invalidate any precomputed LUT\n }\n\n verify() {\n const print = this.coordDigest();\n\n if (print !== this._print) {\n this._print = print;\n this.update();\n }\n }\n\n coordDigest() {\n return this.points.map(function (c, pos) {\n return \"\" + pos + c.x + c.y + (c.z ? c.z : 0);\n }).join(\"\");\n }\n\n update() {\n // invalidate any precomputed LUT\n this._lut = [];\n this.dpoints = utils.derive(this.points, this._3d);\n this.computedirection();\n }\n\n computedirection() {\n const points = this.points;\n const angle = utils.angle(points[0], points[this.order], points[1]);\n this.clockwise = angle > 0;\n }\n\n length() {\n return utils.length(this.derivative.bind(this));\n }\n\n static getABC(order = 2, S, B, E, t = 0.5) {\n const u = utils.projectionratio(t, order),\n um = 1 - u,\n C = {\n x: u * S.x + um * E.x,\n y: u * S.y + um * E.y\n },\n s = utils.abcratio(t, order),\n A = {\n x: B.x + (B.x - C.x) / s,\n y: B.y + (B.y - C.y) / s\n };\n return {\n A,\n B,\n C,\n S,\n E\n };\n }\n\n getABC(t, B) {\n B = B || this.get(t);\n let S = this.points[0];\n let E = this.points[this.order];\n return Bezier.getABC(this.order, S, B, E, t);\n }\n\n getLUT(steps) {\n this.verify();\n steps = steps || 100;\n\n if (this._lut.length === steps) {\n return this._lut;\n }\n\n this._lut = []; // We want a range from 0 to 1 inclusive, so\n // we decrement and then use <= rather than <:\n\n steps--;\n\n for (let i = 0, p, t; i < steps; i++) {\n t = i / (steps - 1);\n p = this.compute(t);\n p.t = t;\n\n this._lut.push(p);\n }\n\n return this._lut;\n }\n\n on(point, error) {\n error = error || 5;\n const lut = this.getLUT(),\n hits = [];\n\n for (let i = 0, c, t = 0; i < lut.length; i++) {\n c = lut[i];\n\n if (utils.dist(c, point) < error) {\n hits.push(c);\n t += i / lut.length;\n }\n }\n\n if (!hits.length) return false;\n return t /= hits.length;\n }\n\n project(point) {\n // step 1: coarse check\n const LUT = this.getLUT(),\n l = LUT.length - 1,\n closest = utils.closest(LUT, point),\n mpos = closest.mpos,\n t1 = (mpos - 1) / l,\n t2 = (mpos + 1) / l,\n step = 0.1 / l; // step 2: fine check\n\n let mdist = closest.mdist,\n t = t1,\n ft = t,\n p;\n mdist += 1;\n\n for (let d; t < t2 + step; t += step) {\n p = this.compute(t);\n d = utils.dist(point, p);\n\n if (d < mdist) {\n mdist = d;\n ft = t;\n }\n }\n\n ft = ft < 0 ? 0 : ft > 1 ? 1 : ft;\n p = this.compute(ft);\n p.t = ft;\n p.d = mdist;\n return p;\n }\n\n get(t) {\n return this.compute(t);\n }\n\n point(idx) {\n return this.points[idx];\n }\n\n compute(t) {\n if (this.ratios) {\n return utils.computeWithRatios(t, this.points, this.ratios, this._3d);\n }\n\n return utils.compute(t, this.points, this._3d, this.ratios);\n }\n\n raise() {\n const p = this.points,\n np = [p[0]],\n k = p.length;\n\n for (let i = 1, pi, pim; i < k; i++) {\n pi = p[i];\n pim = p[i - 1];\n np[i] = {\n x: (k - i) / k * pi.x + i / k * pim.x,\n y: (k - i) / k * pi.y + i / k * pim.y\n };\n }\n\n np[k] = p[k - 1];\n return new Bezier(np);\n }\n\n derivative(t) {\n return utils.compute(t, this.dpoints[0]);\n }\n\n dderivative(t) {\n return utils.compute(t, this.dpoints[1]);\n }\n\n align() {\n let p = this.points;\n return new Bezier(utils.align(p, {\n p1: p[0],\n p2: p[p.length - 1]\n }));\n }\n\n curvature(t) {\n return utils.curvature(t, this.dpoints[0], this.dpoints[1], this._3d);\n }\n\n inflections() {\n return utils.inflections(this.points);\n }\n\n normal(t) {\n return this._3d ? this.__normal3(t) : this.__normal2(t);\n }\n\n __normal2(t) {\n const d = this.derivative(t);\n const q = sqrt$1(d.x * d.x + d.y * d.y);\n return {\n x: -d.y / q,\n y: d.x / q\n };\n }\n\n __normal3(t) {\n // see http://stackoverflow.com/questions/25453159\n const r1 = this.derivative(t),\n r2 = this.derivative(t + 0.01),\n q1 = sqrt$1(r1.x * r1.x + r1.y * r1.y + r1.z * r1.z),\n q2 = sqrt$1(r2.x * r2.x + r2.y * r2.y + r2.z * r2.z);\n r1.x /= q1;\n r1.y /= q1;\n r1.z /= q1;\n r2.x /= q2;\n r2.y /= q2;\n r2.z /= q2; // cross product\n\n const c = {\n x: r2.y * r1.z - r2.z * r1.y,\n y: r2.z * r1.x - r2.x * r1.z,\n z: r2.x * r1.y - r2.y * r1.x\n };\n const m = sqrt$1(c.x * c.x + c.y * c.y + c.z * c.z);\n c.x /= m;\n c.y /= m;\n c.z /= m; // rotation matrix\n\n const R = [c.x * c.x, c.x * c.y - c.z, c.x * c.z + c.y, c.x * c.y + c.z, c.y * c.y, c.y * c.z - c.x, c.x * c.z - c.y, c.y * c.z + c.x, c.z * c.z]; // normal vector:\n\n const n = {\n x: R[0] * r1.x + R[1] * r1.y + R[2] * r1.z,\n y: R[3] * r1.x + R[4] * r1.y + R[5] * r1.z,\n z: R[6] * r1.x + R[7] * r1.y + R[8] * r1.z\n };\n return n;\n }\n\n hull(t) {\n let p = this.points,\n _p = [],\n q = [],\n idx = 0;\n q[idx++] = p[0];\n q[idx++] = p[1];\n q[idx++] = p[2];\n\n if (this.order === 3) {\n q[idx++] = p[3];\n } // we lerp between all points at each iteration, until we have 1 point left.\n\n\n while (p.length > 1) {\n _p = [];\n\n for (let i = 0, pt, l = p.length - 1; i < l; i++) {\n pt = utils.lerp(t, p[i], p[i + 1]);\n q[idx++] = pt;\n\n _p.push(pt);\n }\n\n p = _p;\n }\n\n return q;\n }\n\n split(t1, t2) {\n // shortcuts\n if (t1 === 0 && !!t2) {\n return this.split(t2).left;\n }\n\n if (t2 === 1) {\n return this.split(t1).right;\n } // no shortcut: use \"de Casteljau\" iteration.\n\n\n const q = this.hull(t1);\n const result = {\n left: this.order === 2 ? new Bezier([q[0], q[3], q[5]]) : new Bezier([q[0], q[4], q[7], q[9]]),\n right: this.order === 2 ? new Bezier([q[5], q[4], q[2]]) : new Bezier([q[9], q[8], q[6], q[3]]),\n span: q\n }; // make sure we bind _t1/_t2 information!\n\n result.left._t1 = utils.map(0, 0, 1, this._t1, this._t2);\n result.left._t2 = utils.map(t1, 0, 1, this._t1, this._t2);\n result.right._t1 = utils.map(t1, 0, 1, this._t1, this._t2);\n result.right._t2 = utils.map(1, 0, 1, this._t1, this._t2); // if we have no t2, we're done\n\n if (!t2) {\n return result;\n } // if we have a t2, split again:\n\n\n t2 = utils.map(t2, t1, 1, 0, 1);\n return result.right.split(t2).left;\n }\n\n extrema() {\n const result = {};\n let roots = [];\n this.dims.forEach(function (dim) {\n let mfn = function (v) {\n return v[dim];\n };\n\n let p = this.dpoints[0].map(mfn);\n result[dim] = utils.droots(p);\n\n if (this.order === 3) {\n p = this.dpoints[1].map(mfn);\n result[dim] = result[dim].concat(utils.droots(p));\n }\n\n result[dim] = result[dim].filter(function (t) {\n return t >= 0 && t <= 1;\n });\n roots = roots.concat(result[dim].sort(utils.numberSort));\n }.bind(this));\n result.values = roots.sort(utils.numberSort).filter(function (v, idx) {\n return roots.indexOf(v) === idx;\n });\n return result;\n }\n\n bbox() {\n const extrema = this.extrema(),\n result = {};\n this.dims.forEach(function (d) {\n result[d] = utils.getminmax(this, d, extrema[d]);\n }.bind(this));\n return result;\n }\n\n overlaps(curve) {\n const lbbox = this.bbox(),\n tbbox = curve.bbox();\n return utils.bboxoverlap(lbbox, tbbox);\n }\n\n offset(t, d) {\n if (typeof d !== \"undefined\") {\n const c = this.get(t),\n n = this.normal(t);\n const ret = {\n c: c,\n n: n,\n x: c.x + n.x * d,\n y: c.y + n.y * d\n };\n\n if (this._3d) {\n ret.z = c.z + n.z * d;\n }\n\n return ret;\n }\n\n if (this._linear) {\n const nv = this.normal(0),\n coords = this.points.map(function (p) {\n const ret = {\n x: p.x + t * nv.x,\n y: p.y + t * nv.y\n };\n\n if (p.z && nv.z) {\n ret.z = p.z + t * nv.z;\n }\n\n return ret;\n });\n return [new Bezier(coords)];\n }\n\n return this.reduce().map(function (s) {\n if (s._linear) {\n return s.offset(t)[0];\n }\n\n return s.scale(t);\n });\n }\n\n simple() {\n if (this.order === 3) {\n const a1 = utils.angle(this.points[0], this.points[3], this.points[1]);\n const a2 = utils.angle(this.points[0], this.points[3], this.points[2]);\n if (a1 > 0 && a2 < 0 || a1 < 0 && a2 > 0) return false;\n }\n\n const n1 = this.normal(0);\n const n2 = this.normal(1);\n let s = n1.x * n2.x + n1.y * n2.y;\n\n if (this._3d) {\n s += n1.z * n2.z;\n }\n\n return abs$1(acos$1(s)) < pi$1 / 3;\n }\n\n reduce() {\n // TODO: examine these var types in more detail...\n let i,\n t1 = 0,\n t2 = 0,\n step = 0.01,\n segment,\n pass1 = [],\n pass2 = []; // first pass: split on extrema\n\n let extrema = this.extrema().values;\n\n if (extrema.indexOf(0) === -1) {\n extrema = [0].concat(extrema);\n }\n\n if (extrema.indexOf(1) === -1) {\n extrema.push(1);\n }\n\n for (t1 = extrema[0], i = 1; i < extrema.length; i++) {\n t2 = extrema[i];\n segment = this.split(t1, t2);\n segment._t1 = t1;\n segment._t2 = t2;\n pass1.push(segment);\n t1 = t2;\n } // second pass: further reduce these segments to simple segments\n\n\n pass1.forEach(function (p1) {\n t1 = 0;\n t2 = 0;\n\n while (t2 <= 1) {\n for (t2 = t1 + step; t2 <= 1 + step; t2 += step) {\n segment = p1.split(t1, t2);\n\n if (!segment.simple()) {\n t2 -= step;\n\n if (abs$1(t1 - t2) < step) {\n // we can never form a reduction\n return [];\n }\n\n segment = p1.split(t1, t2);\n segment._t1 = utils.map(t1, 0, 1, p1._t1, p1._t2);\n segment._t2 = utils.map(t2, 0, 1, p1._t1, p1._t2);\n pass2.push(segment);\n t1 = t2;\n break;\n }\n }\n }\n\n if (t1 < 1) {\n segment = p1.split(t1, 1);\n segment._t1 = utils.map(t1, 0, 1, p1._t1, p1._t2);\n segment._t2 = p1._t2;\n pass2.push(segment);\n }\n });\n return pass2;\n }\n\n scale(d) {\n const order = this.order;\n let distanceFn = false;\n\n if (typeof d === \"function\") {\n distanceFn = d;\n }\n\n if (distanceFn && order === 2) {\n return this.raise().scale(distanceFn);\n } // TODO: add special handling for degenerate (=linear) curves.\n\n\n const clockwise = this.clockwise;\n const r1 = distanceFn ? distanceFn(0) : d;\n const r2 = distanceFn ? distanceFn(1) : d;\n const v = [this.offset(0, 10), this.offset(1, 10)];\n const points = this.points;\n const np = [];\n const o = utils.lli4(v[0], v[0].c, v[1], v[1].c);\n\n if (!o) {\n throw new Error(\"cannot scale this curve. Try reducing it first.\");\n } // move all points by distance 'd' wrt the origin 'o'\n // move end points by fixed distance along normal.\n\n\n [0, 1].forEach(function (t) {\n const p = np[t * order] = utils.copy(points[t * order]);\n p.x += (t ? r2 : r1) * v[t].n.x;\n p.y += (t ? r2 : r1) * v[t].n.y;\n });\n\n if (!distanceFn) {\n // move control points to lie on the intersection of the offset\n // derivative vector, and the origin-through-control vector\n [0, 1].forEach(t => {\n if (order === 2 && !!t) return;\n const p = np[t * order];\n const d = this.derivative(t);\n const p2 = {\n x: p.x + d.x,\n y: p.y + d.y\n };\n np[t + 1] = utils.lli4(p, p2, o, points[t + 1]);\n });\n return new Bezier(np);\n } // move control points by \"however much necessary to\n // ensure the correct tangent to endpoint\".\n\n\n [0, 1].forEach(function (t) {\n if (order === 2 && !!t) return;\n var p = points[t + 1];\n var ov = {\n x: p.x - o.x,\n y: p.y - o.y\n };\n var rc = distanceFn ? distanceFn((t + 1) / order) : d;\n if (distanceFn && !clockwise) rc = -rc;\n var m = sqrt$1(ov.x * ov.x + ov.y * ov.y);\n ov.x /= m;\n ov.y /= m;\n np[t + 1] = {\n x: p.x + rc * ov.x,\n y: p.y + rc * ov.y\n };\n });\n return new Bezier(np);\n }\n\n outline(d1, d2, d3, d4) {\n d2 = typeof d2 === \"undefined\" ? d1 : d2;\n const reduced = this.reduce(),\n len = reduced.length,\n fcurves = [];\n let bcurves = [],\n p,\n alen = 0,\n tlen = this.length();\n const graduated = typeof d3 !== \"undefined\" && typeof d4 !== \"undefined\";\n\n function linearDistanceFunction(s, e, tlen, alen, slen) {\n return function (v) {\n const f1 = alen / tlen,\n f2 = (alen + slen) / tlen,\n d = e - s;\n return utils.map(v, 0, 1, s + f1 * d, s + f2 * d);\n };\n } // form curve oulines\n\n\n reduced.forEach(function (segment) {\n const slen = segment.length();\n\n if (graduated) {\n fcurves.push(segment.scale(linearDistanceFunction(d1, d3, tlen, alen, slen)));\n bcurves.push(segment.scale(linearDistanceFunction(-d2, -d4, tlen, alen, slen)));\n } else {\n fcurves.push(segment.scale(d1));\n bcurves.push(segment.scale(-d2));\n }\n\n alen += slen;\n }); // reverse the \"return\" outline\n\n bcurves = bcurves.map(function (s) {\n p = s.points;\n\n if (p[3]) {\n s.points = [p[3], p[2], p[1], p[0]];\n } else {\n s.points = [p[2], p[1], p[0]];\n }\n\n return s;\n }).reverse(); // form the endcaps as lines\n\n const fs = fcurves[0].points[0],\n fe = fcurves[len - 1].points[fcurves[len - 1].points.length - 1],\n bs = bcurves[len - 1].points[bcurves[len - 1].points.length - 1],\n be = bcurves[0].points[0],\n ls = utils.makeline(bs, fs),\n le = utils.makeline(fe, be),\n segments = [ls].concat(fcurves).concat([le]).concat(bcurves);\n return new PolyBezier(segments);\n }\n\n outlineshapes(d1, d2, curveIntersectionThreshold) {\n d2 = d2 || d1;\n const outline = this.outline(d1, d2).curves;\n const shapes = [];\n\n for (let i = 1, len = outline.length; i < len / 2; i++) {\n const shape = utils.makeshape(outline[i], outline[len - i], curveIntersectionThreshold);\n shape.startcap.virtual = i > 1;\n shape.endcap.virtual = i < len / 2 - 1;\n shapes.push(shape);\n }\n\n return shapes;\n }\n\n intersects(curve, curveIntersectionThreshold) {\n if (!curve) return this.selfintersects(curveIntersectionThreshold);\n\n if (curve.p1 && curve.p2) {\n return this.lineIntersects(curve);\n }\n\n if (curve instanceof Bezier) {\n curve = curve.reduce();\n }\n\n return this.curveintersects(this.reduce(), curve, curveIntersectionThreshold);\n }\n\n lineIntersects(line) {\n const mx = min(line.p1.x, line.p2.x),\n my = min(line.p1.y, line.p2.y),\n MX = max(line.p1.x, line.p2.x),\n MY = max(line.p1.y, line.p2.y);\n return utils.roots(this.points, line).filter(t => {\n var p = this.get(t);\n return utils.between(p.x, mx, MX) && utils.between(p.y, my, MY);\n });\n }\n\n selfintersects(curveIntersectionThreshold) {\n // \"simple\" curves cannot intersect with their direct\n // neighbour, so for each segment X we check whether\n // it intersects [0:x-2][x+2:last].\n const reduced = this.reduce(),\n len = reduced.length - 2,\n results = [];\n\n for (let i = 0, result, left, right; i < len; i++) {\n left = reduced.slice(i, i + 1);\n right = reduced.slice(i + 2);\n result = this.curveintersects(left, right, curveIntersectionThreshold);\n results.push(...result);\n }\n\n return results;\n }\n\n curveintersects(c1, c2, curveIntersectionThreshold) {\n const pairs = []; // step 1: pair off any overlapping segments\n\n c1.forEach(function (l) {\n c2.forEach(function (r) {\n if (l.overlaps(r)) {\n pairs.push({\n left: l,\n right: r\n });\n }\n });\n }); // step 2: for each pairing, run through the convergence algorithm.\n\n let intersections = [];\n pairs.forEach(function (pair) {\n const result = utils.pairiteration(pair.left, pair.right, curveIntersectionThreshold);\n\n if (result.length > 0) {\n intersections = intersections.concat(result);\n }\n });\n return intersections;\n }\n\n arcs(errorThreshold) {\n errorThreshold = errorThreshold || 0.5;\n return this._iterate(errorThreshold, []);\n }\n\n _error(pc, np1, s, e) {\n const q = (e - s) / 4,\n c1 = this.get(s + q),\n c2 = this.get(e - q),\n ref = utils.dist(pc, np1),\n d1 = utils.dist(pc, c1),\n d2 = utils.dist(pc, c2);\n return abs$1(d1 - ref) + abs$1(d2 - ref);\n }\n\n _iterate(errorThreshold, circles) {\n let t_s = 0,\n t_e = 1,\n safety; // we do a binary search to find the \"good `t` closest to no-longer-good\"\n\n do {\n safety = 0; // step 1: start with the maximum possible arc\n\n t_e = 1; // points:\n\n let np1 = this.get(t_s),\n np2,\n np3,\n arc,\n prev_arc; // booleans:\n\n let curr_good = false,\n prev_good = false,\n done; // numbers:\n\n let t_m = t_e,\n prev_e = 1; // step 2: find the best possible arc\n\n do {\n prev_good = curr_good;\n prev_arc = arc;\n t_m = (t_s + t_e) / 2;\n np2 = this.get(t_m);\n np3 = this.get(t_e);\n arc = utils.getccenter(np1, np2, np3); //also save the t values\n\n arc.interval = {\n start: t_s,\n end: t_e\n };\n\n let error = this._error(arc, np1, t_s, t_e);\n\n curr_good = error <= errorThreshold;\n done = prev_good && !curr_good;\n if (!done) prev_e = t_e; // this arc is fine: we can move 'e' up to see if we can find a wider arc\n\n if (curr_good) {\n // if e is already at max, then we're done for this arc.\n if (t_e >= 1) {\n // make sure we cap at t=1\n arc.interval.end = prev_e = 1;\n prev_arc = arc; // if we capped the arc segment to t=1 we also need to make sure that\n // the arc's end angle is correct with respect to the bezier end point.\n\n if (t_e > 1) {\n let d = {\n x: arc.x + arc.r * cos$1(arc.e),\n y: arc.y + arc.r * sin$1(arc.e)\n };\n arc.e += utils.angle({\n x: arc.x,\n y: arc.y\n }, d, this.get(1));\n }\n\n break;\n } // if not, move it up by half the iteration distance\n\n\n t_e = t_e + (t_e - t_s) / 2;\n } else {\n // this is a bad arc: we need to move 'e' down to find a good arc\n t_e = t_m;\n }\n } while (!done && safety++ < 100);\n\n if (safety >= 100) {\n break;\n } // console.log(\"L835: [F] arc found\", t_s, prev_e, prev_arc.x, prev_arc.y, prev_arc.s, prev_arc.e);\n\n\n prev_arc = prev_arc ? prev_arc : arc;\n circles.push(prev_arc);\n t_s = prev_e;\n } while (t_e < 1);\n\n return circles;\n }\n\n}\n\nexports.Bezier = Bezier;\n","import { Bezier } from \"../vendor/bezier-js\";\r\nimport { float } from \"./util\";\r\n\r\nexport function pathToShapes(path: string): Bezier[][] {\r\n const parts = path.trim().split(\" \");\r\n let x = 0;\r\n let y = 0;\r\n let i = 0;\r\n const shapes: Bezier[][] = [];\r\n let currShape: Bezier[] = [];\r\n\r\n const chomp = () => {\r\n if (i >= parts.length) {\r\n throw new Error(`Ran out of path parts!`);\r\n }\r\n const val = parts[i];\r\n i++;\r\n return val;\r\n };\r\n\r\n const finishCurrShape = () => {\r\n if (currShape.length) {\r\n shapes.push(currShape);\r\n currShape = [];\r\n }\r\n };\r\n\r\n while (i < parts.length) {\r\n const command = chomp();\r\n switch (command) {\r\n case \"M\":\r\n finishCurrShape();\r\n x = float(chomp());\r\n y = float(chomp());\r\n break;\r\n case \"C\":\r\n const x1 = float(chomp());\r\n const y1 = float(chomp());\r\n const x2 = float(chomp());\r\n const y2 = float(chomp());\r\n const endX = float(chomp());\r\n const endY = float(chomp());\r\n currShape.push(new Bezier(x, y, x1, y1, x2, y2, endX, endY));\r\n x = endX;\r\n y = endY;\r\n break;\r\n case \"Z\":\r\n finishCurrShape();\r\n break;\r\n default:\r\n throw new Error(`Unknown SVG path command: '${command}'`);\r\n }\r\n }\r\n\r\n finishCurrShape();\r\n\r\n return shapes;\r\n}\r\n","import { Bezier, Point, BBox, MinMax } from \"../vendor/bezier-js\";\nimport { SVGProps } from \"react\";\n\nimport type { SvgSymbolElement } from \"./vocabulary\";\nimport { flatten, float } from \"./util\";\nimport { pathToShapes } from \"./path\";\n\nexport function getBoundingBoxSize(bbox: BBox): [number, number] {\n const width = bbox.x.max - bbox.x.min;\n const height = bbox.y.max - bbox.y.min;\n\n return [width, height];\n}\n\nexport function getBoundingBoxCenter(bbox: BBox): Point {\n const [width, height] = getBoundingBoxSize(bbox);\n\n return {\n x: bbox.x.min + width / 2,\n y: bbox.y.min + height / 2,\n };\n}\n\nfunction dilateMinMax(minmax: MinMax, amount: number): MinMax {\n return {\n min: minmax.min - amount,\n max: minmax.max + amount,\n };\n}\n\nexport function dilateBoundingBox(bbox: BBox, amount: number): BBox {\n return {\n x: dilateMinMax(bbox.x, amount),\n y: dilateMinMax(bbox.y, amount),\n };\n}\n\nexport function coalesceBoundingBoxes(bboxes: BBox[]): BBox {\n let minX = Infinity;\n let minY = Infinity;\n let maxX = -Infinity;\n let maxY = -Infinity;\n\n if (bboxes.length === 0) {\n throw new Error(`Must have at least one bounding box!`);\n }\n\n for (let bbox of bboxes) {\n if (bbox.x.min < minX) {\n minX = bbox.x.min;\n }\n if (bbox.x.max > maxX) {\n maxX = bbox.x.max;\n }\n if (bbox.y.min < minY) {\n minY = bbox.y.min;\n }\n if (bbox.y.max > maxY) {\n maxY = bbox.y.max;\n }\n }\n\n return { x: { min: minX, max: maxX }, y: { min: minY, max: maxY } };\n}\n\nexport function getBoundingBoxForBeziers(beziers: Bezier[]): BBox {\n return coalesceBoundingBoxes(beziers.map((b) => b.bbox()));\n}\n\nfunction getPathBoundingBox(props: SVGProps): BBox {\n if (!props.d) {\n throw new Error(`SVG path has no 'd' attribute value!`);\n }\n const beziers = flatten(pathToShapes(props.d));\n const bbox = getBoundingBoxForBeziers(beziers);\n return props.strokeWidth\n ? dilateBoundingBox(bbox, float(props.strokeWidth) / 2)\n : bbox;\n}\n\nexport function getSvgBoundingBox(\n element: SvgSymbolElement | SvgSymbolElement[]\n): BBox {\n if (Array.isArray(element)) {\n return coalesceBoundingBoxes(element.map(getSvgBoundingBox));\n }\n switch (element.tagName) {\n case \"g\":\n return getSvgBoundingBox(element.children);\n case \"path\":\n return getPathBoundingBox(element.props);\n }\n}\n","export const STROKE_REPLACEMENT_COLOR = \"#000000\";\r\nexport const FILL_REPLACEMENT_COLOR = \"#ffffff\";\r\n\r\nexport const TAIL_ATTACHMENT_COLOR = \"#ff0000\";\r\nexport const LEG_ATTACHMENT_COLOR = \"#ffff00\";\r\nexport const ARM_ATTACHMENT_COLOR = \"#00ff00\";\r\nexport const HORN_ATTACHMENT_COLOR = \"#00ffff\";\r\nexport const CROWN_ATTACHMENT_COLOR = \"#0000ff\";\r\n\r\nexport const NESTING_BOUNDING_BOX_COLOR = \"#ff00ff\";\r\n","module.exports=[{name:\"antler specs\",bbox:{x:{min:35.927,max:629.328},y:{min:25.248,max:712.6618562874269}},layers:[{tagName:\"g\",props:{id:\"antler\"},children:[{tagName:\"g\",props:{id:\"antler\"},children:[{tagName:\"path\",props:{fill:\"#ffffff\",fillRule:\"evenodd\",stroke:\"#000000\",strokeWidth:\"9\",strokeLinecap:\"round\",strokeLinejoin:\"round\",d:\"M 40.427 654.962 C 40.434 654.952 65.736 595.766 106.485 553.234 C 139.533 518.741 168.576 498.871 190.619 478.539 C 219.266 452.118 260.779 370.246 244.915 305.135 C 223.982 219.222 149.153 195.089 149.143 195.078 C 149.157 195.089 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Mystic Symbolic Vocabulary

\n

\n \n setStroke(e.target.value)}\n id=\"stroke\"\n />{\" \"}\n \n setFill(e.target.value)}\n id=\"fill\"\n />{\" \"}\n \n

\n {SvgVocabulary.map((symbolData) => (\n \n \n {symbolData.name}\n \n
\n \n
\n \n ))}\n \n );\n};\n","import React from \"react\";\nimport ReactDOM from \"react-dom\";\nimport { WavesPage } from \"./pages/waves-page\";\nimport { VocabularyPage } from \"./pages/vocabulary-page\";\n\nconst Pages = {\n vocabulary: VocabularyPage,\n waves: WavesPage,\n};\n\ntype PageName = keyof typeof Pages;\n\nconst pageNames = Object.keys(Pages) as PageName[];\n\nconst APP_ID = \"app\";\n\nconst appEl = document.getElementById(APP_ID);\n\nif (!appEl) {\n throw new Error(`Unable to find #${APP_ID}!`);\n}\n\nconst App: React.FC<{}> = (props) => {\n const page = new URLSearchParams(window.location.search);\n const currPageName = toPageName(page.get(\"p\") || \"\", \"vocabulary\");\n const PageComponent = Pages[currPageName];\n\n return (\n <>\n
\n \n
\n
\n

Other pages

\n
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\ No newline at end of file +Mystic Symbolic
\ No newline at end of file