diff --git a/docs/chapters/graduatedoffset/content.en-GB.md b/docs/chapters/graduatedoffset/content.en-GB.md index de878829..364416de 100644 --- a/docs/chapters/graduatedoffset/content.en-GB.md +++ b/docs/chapters/graduatedoffset/content.en-GB.md @@ -12,5 +12,10 @@ Like normal offsetting we cut up our curve in sub-curves, and then check at whic At each of the relevant points (start, end, and the projections of the control points onto the curve) we know the curve's normal, so offsetting is simply a matter of taking our original point, and moving it along the normal vector by the offset distance for each point. Doing so will give us the following result (these have with a starting width of 0, and an end width of 40 pixels, but can be controlled with your up and down arrow keys): - - + + + + + + + diff --git a/docs/chapters/graduatedoffset/handler.js b/docs/chapters/graduatedoffset/handler.js deleted file mode 100644 index d784bfde..00000000 --- a/docs/chapters/graduatedoffset/handler.js +++ /dev/null @@ -1,37 +0,0 @@ -module.exports = { - statics: { - keyHandlingOptions: { - propName: "distance", - values: { - "38": 1, // up arrow - "40": -1 // down arrow - } - } - }, - - setup: function(api, curve) { - api.setCurve(curve); - api.distance = 20; - }, - - setupQuadratic: function(api) { - var curve = api.getDefaultQuadratic(); - this.setup(api, curve); - }, - - setupCubic: function(api) { - var curve = api.getDefaultCubic(); - this.setup(api, curve); - }, - - draw: function(api, curve) { - api.reset(); - api.drawSkeleton(curve); - api.drawCurve(curve); - - - api.setColor("blue"); - var outline = curve.outline(0,0,api.distance,api.distance); - outline.curves.forEach(c => api.drawCurve(c)); - } -}; diff --git a/docs/chapters/graduatedoffset/offsetting.js b/docs/chapters/graduatedoffset/offsetting.js new file mode 100644 index 00000000..af18fe6c --- /dev/null +++ b/docs/chapters/graduatedoffset/offsetting.js @@ -0,0 +1,63 @@ +let curve; + +setup() { + const type = this.parameters.type ?? `quadratic`; + if (type === `quadratic`) { + curve = Bezier.defaultQuadratic(this); + } else { + curve = Bezier.defaultCubic(this); + } + setMovable(curve.points); + setSlider(`.slide-control`, `distance`, 20); +} + +draw() { + clear(); + noFill(); + curve.drawSkeleton(); + curve.drawCurve(`lightblue`); + this.outline(curve, this.distance).forEach(c => this.drawCurve(c)); + curve.drawPoints(); +}; + +drawCurve(c) { + setStroke( randomColor() ); + start() + c.getLUT(16).forEach(p => vertex(p.x, p.y)); + end(); +} + +outline(curve, d) { + const reduced = curve.reduce(), + fcurves = []; + + let bcurves = [], + alen = 0, + tlen = curve.length(); + + // form curve oulines + reduced.forEach(segment => { + let slen = segment.length(); + fcurves.push(segment.scale(this.linearDistanceFunction(d, tlen, alen, slen))); + bcurves.push(segment.scale(this.linearDistanceFunction(-d, tlen, alen, slen))); + alen += slen; + }); + + // reverse the "return" outline + bcurves = bcurves + .map(s => { + s.points = s.points.reverse(); + return s; + }) + .reverse(); + + return [...fcurves, ...bcurves]; +} + +linearDistanceFunction(d, tlen, alen, slen) { + return v => { + const f1 = alen / tlen, + f2 = (alen + slen) / tlen; + return map(v, 0, 1, f1 * d, f2 * d); + }; +} diff --git a/docs/chapters/offsetting/content.en-GB.md b/docs/chapters/offsetting/content.en-GB.md index eec544ab..58ace666 100644 --- a/docs/chapters/offsetting/content.en-GB.md +++ b/docs/chapters/offsetting/content.en-GB.md @@ -57,9 +57,14 @@ So, you cannot offset a Bézier curve perfectly with another Bézier curve, no m A good way to do this reduction is to first find the curve's extreme points, as explained in the earlier section on curve extremities, and use these as initial splitting points. After this initial split, we can check each individual segment to see if it's "safe enough" based on where the center of the curve is. If the on-curve point for `t=0.5` is too far off from the center, we simply split the segment down the middle. Generally this is more than enough to end up with safe segments. -The following graphics show off curve offsetting, and you can use your up and down arrow keys to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled. +The following graphics show off curve offsetting, and you can use the slider to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled. - - + + + + + + + You may notice that this may still lead to small 'jumps' in the sub-curves when moving the curve around. This is caused by the fact that we're still performing a naive form of offsetting, moving the control points the same distance as the start and end points. If the curve is large enough, this may still lead to incorrect offsets. diff --git a/docs/chapters/offsetting/handler.js b/docs/chapters/offsetting/handler.js deleted file mode 100644 index 4efd506e..00000000 --- a/docs/chapters/offsetting/handler.js +++ /dev/null @@ -1,58 +0,0 @@ -module.exports = { - statics: { - keyHandlingOptions: { - propName: "distance", - values: { - "38": 1, // up arrow - "40": -1 // down arrow - } - } - }, - - setup: function(api, curve) { - api.setCurve(curve); - api.distance = 20; - }, - - setupQuadratic: function(api) { - var curve = api.getDefaultQuadratic(); - this.setup(api, curve); - }, - - setupCubic: function(api) { - var curve = api.getDefaultCubic(); - this.setup(api, curve); - }, - - draw: function(api, curve) { - api.reset(); - api.drawSkeleton(curve); - - var reduced = curve.reduce(); - reduced.forEach(c => { - api.setRandomColor(); - api.drawCurve(c); - api.drawCircle(c.points[0], 1); - }); - var last = reduced.slice(-1)[0]; - api.drawPoint(last.points[3] || last.points[2]); - - api.setColor("red"); - var offset = curve.offset(api.distance); - offset.forEach(c => { - api.drawPoint(c.points[0]); - api.drawCurve(c); - }); - last = offset.slice(-1)[0]; - api.drawPoint(last.points[3] || last.points[2]); - - api.setColor("blue"); - offset = curve.offset(-api.distance); - offset.forEach(c => { - api.drawPoint(c.points[0]); - api.drawCurve(c); - }); - last = offset.slice(-1)[0]; - api.drawPoint(last.points[3] || last.points[2]); - } -}; diff --git a/docs/chapters/offsetting/offsetting.js b/docs/chapters/offsetting/offsetting.js new file mode 100644 index 00000000..1bb7f5fe --- /dev/null +++ b/docs/chapters/offsetting/offsetting.js @@ -0,0 +1,118 @@ +let curve; + +setup() { + const type = this.parameters.type ?? `quadratic`; + if (type === `quadratic`) { + curve = Bezier.defaultQuadratic(this); + } else { + curve = Bezier.defaultCubic(this); + } + setMovable(curve.points); + setSlider(`.slide-control`, `distance`, 20); +} + +draw() { + clear(); + noFill(); + + curve.drawSkeleton(); + + var reduced = this.reduce(curve); + reduced.forEach(c => { + setStroke( randomColor() ); + this.drawCurve(c); + circle(c.points[0].x, c.points[0].y, 2); + }); + var last = reduced.slice(-1)[0]; + let p = last.points[3] ?? last.points[2]; + circle(p.x, p.y, 3); + + setStroke(`#FF000050`); + var offset = curve.offset(this.distance); + offset.forEach(c => { + circle(c.points[0].x, c.points[0].y, 2); + this.drawCurve(c); + }); + + last = offset.slice(-1)[0]; + p = last.points[3] ?? last.points[2]; + circle(p.x, p.y, 3); + + setStroke(`#0000FF50`); + var offset = curve.offset(-this.distance); + offset.forEach(c => { + circle(c.points[0].x, c.points[0].y, 2); + this.drawCurve(c); + }); + + last = offset.slice(-1)[0]; + p = last.points[3] ?? last.points[2]; + circle(p.x, p.y, 3); + + curve.drawPoints(); +} + +drawCurve(c) { + start() + c.getLUT(16).forEach(p => vertex(p.x, p.y)); + end(); +} + +reduce(curve) { + let i, + t1 = 0, + t2 = 0, + step = 0.01, + segment, + pass1 = [], + pass2 = []; + + // first pass: split on extrema + let extrema = curve.extrema().values; + if (extrema.indexOf(0) === -1) { + extrema = [0].concat(extrema); + } + if (extrema.indexOf(1) === -1) { + extrema.push(1); + } + for (t1 = extrema[0], i = 1; i < extrema.length; i++) { + t2 = extrema[i]; + segment = curve.split(t1, t2); + segment._t1 = t1; + segment._t2 = t2; + pass1.push(segment); + t1 = t2; + } + + // second pass: further reduce these segments to simple segments + pass1.forEach(p1 => { + t1 = 0; + t2 = 0; + while (t2 <= 1) { + for (t2 = t1 + step; t2 <= 1 + step; t2 += step) { + segment = p1.split(t1, t2); + if (!segment.simple()) { + t2 -= step; + if ( abs(t1 - t2) < step) { + // we can never form a reduction + return []; + } + segment = p1.split(t1, t2); + segment._t1 = map(t1, 0, 1, p1._t1, p1._t2); + segment._t2 = map(t2, 0, 1, p1._t1, p1._t2); + pass2.push(segment); + t1 = t2; + break; + } + } + } + if (t1 < 1) { + segment = p1.split(t1, 1); + segment._t1 = map(t1, 0, 1, p1._t1, p1._t2); + segment._t2 = p1._t2; + pass2.push(segment); + } + }); + + return pass2; +} diff --git a/docs/chapters/shapes/boolean.js b/docs/chapters/shapes/boolean.js new file mode 100644 index 00000000..41d56d58 --- /dev/null +++ b/docs/chapters/shapes/boolean.js @@ -0,0 +1,133 @@ +let shape1, shape2, ox=50, oy=50; + +setup() { + let d = 30; + + let p = [ + { x: d*2, y: d*1}, { x: d*1, y: d*2}, { x: d*1, y: d*4}, + { x: d*2, y: d*5}, { x: d*3, y: d*4}, { x: d*5, y: d*4}, + { x: d*6, y: d*5}, { x: d*7, y: d*4}, { x: d*7, y: d*2}, + { x: d*6, y: d*1}, { x: d*5, y: d*2}, { x: d*3, y: d*2}, + ] + + shape1 = [ + new Bezier(this, p[0].x, p[0].y, p[1].x, p[1].y, p[2].x, p[2].y, p[3].x, p[3].y), + new Bezier(this, p[3].x, p[3].y, p[4].x, p[4].y, p[5].x, p[5].y, p[6].x, p[6].y), + new Bezier(this, p[6].x, p[6].y, p[7].x, p[7].y, p[8].x, p[8].y, p[9].x, p[9].y), + new Bezier(this, p[9].x, p[9].y, p[10].x, p[10].y, p[11].x, p[11].y, p[0].x, p[0].y), + ]; + + shape2 = [ + new Bezier(this, p[0].x, p[0].y, p[1].x, p[1].y, p[2].x, p[2].y, p[3].x, p[3].y), + new Bezier(this, p[3].x, p[3].y, p[4].x, p[4].y, p[5].x, p[5].y, p[6].x, p[6].y), + new Bezier(this, p[6].x, p[6].y, p[7].x, p[7].y, p[8].x, p[8].y, p[9].x, p[9].y), + new Bezier(this, p[9].x, p[9].y, p[10].x, p[10].y, p[11].x, p[11].y, p[0].x, p[0].y), + ]; + + // link the curves into paths + shape1.forEach((s, i) => (s.next = shape1[(i+1) % shape1.length])); + shape2.forEach((s, i) => (s.next = shape2[(i+1) % shape2.length])); + shape2.forEach(s => s.points.forEach(p => { p.x += ox; p.y += oy; })); +} + +draw() { + clear(); +/* + noFill(); + shape2.forEach(c => c.points.forEach(p => { + p.x -= ox; + p.y -= oy; + })); + + if (this.cursor.down) { + ox += this.cursor.diff.x; + oy += this.cursor.diff.y; + } + + shape2.forEach(c => c.points.forEach(p => { + p.x += ox; + p.y += oy; + })); + + shape1.forEach(curve => this.drawSegment(curve)); + shape2.forEach(curve => this.drawSegment(curve)); + + this.drawBoolean(shape1, shape2); +*/ +} + + +drawSegment(segment) { + setStroke( randomColor(0.2) ); + start() + segment.getLUT(16).forEach(p => vertex(p.x, p.y)) + end(); +} + +drawBoolean(s1, s2) { + let intersections = []; + + // We're going to test for intersections in an *incredibly* naive fashion, + // simply checking each curve against each other curve. Normally you'd first + // throw way all curves that can't intersect, using bounding box checks or + // oct-tree space reduction, etc. + s1.forEach(curve1 => { + s2.forEach(curve2 => { + let ti = curve1.intersects(curve2); + if (ti.length) { + ti = ti.map(s => s.split(`/`).map(parseFloat)); + // remove "near enough to be considered duplicate" t pairs + for(let i=ti.length-1; i>0; i--) { + if ( abs(ti[i][0] - ti[i-1][0]) < 0.01 && abs(ti[i][1] - ti[i-1][1]) < 0.01) { + ti.splice(i,1); + } + } + // store this curve pair with intersection t value(s) + intersections.push({ curve1, curve2, ti }) + } + }); + }); + + intersections.forEach(i => { + const { curve1, curve2, ti } = i; + + ti.forEach(t => { + let c1 = curve1.get(t[0]); circle(c1.x, c1.y, 3); + let c2 = curve2.get(t[1]); circle(c2.x, c2.y, 3); + }); + }); + + let nodes = [...s1, ...s2]; + let sequence = []; + let node = nodes[0]; + + for(let i=0; i<2; i++) { + let entry = intersections.find(v => v.curve1 === node || v.curve2 === node); + if (entry) { + const { curve1, curve2, ti } = entry; + console.log(ti); + + let c1, c2; + + c1 = curve1.split(t[0]); + c2 = curve2.split(t[1]); + + + // resolve the intersections + console.log(`resolve `,entry); + sequence.push(node); + node = node.next; + } else { + sequence.push(node); + node = node.next; + } + } + + sequence.forEach(c => c.drawCurve(`black`)); +} + +onMouseMove() { + if (this.cursor.down) { + redraw(); + } +} diff --git a/docs/chapters/shapes/content.en-GB.md b/docs/chapters/shapes/content.en-GB.md index 5cdfe3a1..3aad6276 100644 --- a/docs/chapters/shapes/content.en-GB.md +++ b/docs/chapters/shapes/content.en-GB.md @@ -1,3 +1,5 @@ +# THIS SECTION IS CURRENTLY NOT PART OF THE MAIN DOCUMENT, AS IT DOES NOT ACTUALLY TEACH ANYTHING USEFUL. + # Boolean shape operations We can apply the topics covered so far in this primer to effect boolean shape operations: getting the union, intersection, or exclusion, between two or more shapes that involve Bézier curves. For simplicity (well... sort of, more homogeneity), we'll be looking at poly-Bézier shapes only, but a shape that consists of a mix of lines and Bézier curves is technically a simplification. (Although it does mean we need to write a definition for the class of shapes that mix lines and Bézier curves. Since poly-Bézier curves are a superset, we'll be using those in the following examples.) @@ -17,33 +19,32 @@ Once we have all the new poly-Bézier curves, we run the first step of the desir - Union: discard all poly-Bézier curves that lie "inside" our union of our shapes. E.g. if we want the union of two overlapping circles, the resulting shape is the outline. - Intersection: discard all poly-Bézier curves that lie "outside" the intersection of the two shapes. E.g. if we want the intersection of two overlapping circles, the resulting shape is the tapered ellipse where they overlap. -- Exclusion: none of the sections are discarded, but we will need to link the shapes back up in a special way. Flip any section that would qualify for removal under UNION rules. +- Exclusion: none of the sections are discarded, but we will need to link the shapes back up in a special way. Flip any section that would qualify for removal under "union" rules. - - - - - -
+
+
- Two overlapping shapes. -
+
Two overlapping shapes
+ +
- The unified region. -
+
Their union
+ +
- Their intersection. -
+
Their intersection
+ +
- Their exclusion regions. -
+
Their exclusion (union minus intersection)
+ + The main complication in the outlined procedure here is determining how sections qualify in terms of being "inside" and "outside" of our shapes. For this, we need to be able to perform point-in-shape detection, for which we'll use a classic algorithm: getting the "crossing number" by using ray casting, and then testing for "insidedness" by applying the [even-odd rule](http://folk.uio.no/bjornw/doc/bifrost-ref/bifrost-ref-12.html): For any point and any shape, we can cast a ray from our point, to some point that we know lies outside of the shape (such as a corner of our drawing surface). We then count how many times that line crosses our shape (remember that we can perform line/curve intersection detection quite easily). If the number of times it crosses the shape's outline is even, the point did not actually lie inside our shape. If the number of intersections is odd, our point did lie inside out shape. With that knowledge, we can decide whether to treat a section that such a point lies on "needs removal" (under union rules), "needs preserving" (under intersection rules), or "needs flipping" (under exclusion rules). These operations are expensive, and implementing your own code for this is generally a bad idea if there is already a geometry package available for your language of choice. In this case, for JavaScript the most excellent [Paper.js](http://paperjs.org) already comes with all the code in place to perform efficient boolean shape operations, so rather that implement an inferior version here, I can strongly recommend the Paper.js library if you intend to do any boolean shape work. -The following graphic shows Paper.js doing its thing for two shapes: one static, and one that is linked to your mouse pointer. If you move the mouse around, you'll see how the shape intersections are resolved. The base shapes are outlined in blue, and the boolean result is coloured red. +(Of course, as a general geometry library, Paper.js is also roughly the size of this entire primer, so for illustrative purposes the following graphic implements its own boolean operations, and may not do quite the right thing on all edge cases!) + + - - - diff --git a/docs/chapters/shapes/paper-core.js b/docs/chapters/shapes/paper-core.js new file mode 100644 index 00000000..2e25cf8c --- /dev/null +++ b/docs/chapters/shapes/paper-core.js @@ -0,0 +1,14977 @@ +/*! + * Paper.js v0.11.8 - The Swiss Army Knife of Vector Graphics Scripting. + * http://paperjs.org/ + * + * Copyright (c) 2011 - 2016, Juerg Lehni & Jonathan Puckey + * http://scratchdisk.com/ & http://jonathanpuckey.com/ + * + * Distributed under the MIT license. See LICENSE file for details. + * + * All rights reserved. + * + * Date: Wed Oct 17 17:00:54 2018 +0200 + * + *** + * + * Straps.js - Class inheritance library with support for bean-style accessors + * + * Copyright (c) 2006 - 2016 Juerg Lehni + * http://scratchdisk.com/ + * + * Distributed under the MIT license. + * + *** + * + * Acorn.js + * http://marijnhaverbeke.nl/acorn/ + * + * Acorn is a tiny, fast JavaScript parser written in JavaScript, + * created by Marijn Haverbeke and released under an MIT license. + * + */ + +var paper = function(self, undefined) { + +self = self || require('./node/self.js'); +var window = self.window, + document = self.document; + +var Base = new function() { + var hidden = /^(statics|enumerable|beans|preserve)$/, + array = [], + slice = array.slice, + create = Object.create, + describe = Object.getOwnPropertyDescriptor, + define = Object.defineProperty, + + forEach = array.forEach || function(iter, bind) { + for (var i = 0, l = this.length; i < l; i++) { + iter.call(bind, this[i], i, this); + } + }, + + forIn = function(iter, bind) { + for (var i in this) { + if (this.hasOwnProperty(i)) + iter.call(bind, this[i], i, this); + } + }, + + set = Object.assign || function(dst) { + for (var i = 1, l = arguments.length; i < l; i++) { + var src = arguments[i]; + for (var key in src) { + if (src.hasOwnProperty(key)) + dst[key] = src[key]; + } + } + return dst; + }, + + each = function(obj, iter, bind) { + if (obj) { + var desc = describe(obj, 'length'); + (desc && typeof desc.value === 'number' ? forEach : forIn) + .call(obj, iter, bind = bind || obj); + } + return bind; + }; + + function inject(dest, src, enumerable, beans, preserve) { + var beansNames = {}; + + function field(name, val) { + val = val || (val = describe(src, name)) + && (val.get ? val : val.value); + if (typeof val === 'string' && val[0] === '#') + val = dest[val.substring(1)] || val; + var isFunc = typeof val === 'function', + res = val, + prev = preserve || isFunc && !val.base + ? (val && val.get ? name in dest : dest[name]) + : null, + bean; + if (!preserve || !prev) { + if (isFunc && prev) + val.base = prev; + if (isFunc && beans !== false + && (bean = name.match(/^([gs]et|is)(([A-Z])(.*))$/))) + beansNames[bean[3].toLowerCase() + bean[4]] = bean[2]; + if (!res || isFunc || !res.get || typeof res.get !== 'function' + || !Base.isPlainObject(res)) { + res = { value: res, writable: true }; + } + if ((describe(dest, name) + || { configurable: true }).configurable) { + res.configurable = true; + res.enumerable = enumerable != null ? enumerable : !bean; + } + define(dest, name, res); + } + } + if (src) { + for (var name in src) { + if (src.hasOwnProperty(name) && !hidden.test(name)) + field(name); + } + for (var name in beansNames) { + var part = beansNames[name], + set = dest['set' + part], + get = dest['get' + part] || set && dest['is' + part]; + if (get && (beans === true || get.length === 0)) + field(name, { get: get, set: set }); + } + } + return dest; + } + + function Base() { + for (var i = 0, l = arguments.length; i < l; i++) { + var src = arguments[i]; + if (src) + set(this, src); + } + return this; + } + + return inject(Base, { + inject: function(src) { + if (src) { + var statics = src.statics === true ? src : src.statics, + beans = src.beans, + preserve = src.preserve; + if (statics !== src) + inject(this.prototype, src, src.enumerable, beans, preserve); + inject(this, statics, null, beans, preserve); + } + for (var i = 1, l = arguments.length; i < l; i++) + this.inject(arguments[i]); + return this; + }, + + extend: function() { + var base = this, + ctor, + proto; + for (var i = 0, obj, l = arguments.length; + i < l && !(ctor && proto); i++) { + obj = arguments[i]; + ctor = ctor || obj.initialize; + proto = proto || obj.prototype; + } + ctor = ctor || function() { + base.apply(this, arguments); + }; + proto = ctor.prototype = proto || create(this.prototype); + define(proto, 'constructor', + { value: ctor, writable: true, configurable: true }); + inject(ctor, this); + if (arguments.length) + this.inject.apply(ctor, arguments); + ctor.base = base; + return ctor; + } + }).inject({ + enumerable: false, + + initialize: Base, + + set: Base, + + inject: function() { + for (var i = 0, l = arguments.length; i < l; i++) { + var src = arguments[i]; + if (src) { + inject(this, src, src.enumerable, src.beans, src.preserve); + } + } + return this; + }, + + extend: function() { + var res = create(this); + return res.inject.apply(res, arguments); + }, + + each: function(iter, bind) { + return each(this, iter, bind); + }, + + clone: function() { + return new this.constructor(this); + }, + + statics: { + set: set, + each: each, + create: create, + define: define, + describe: describe, + + clone: function(obj) { + return set(new obj.constructor(), obj); + }, + + isPlainObject: function(obj) { + var ctor = obj != null && obj.constructor; + return ctor && (ctor === Object || ctor === Base + || ctor.name === 'Object'); + }, + + pick: function(a, b) { + return a !== undefined ? a : b; + }, + + slice: function(list, begin, end) { + return slice.call(list, begin, end); + } + } + }); +}; + +if (typeof module !== 'undefined') + module.exports = Base; + +Base.inject({ + enumerable: false, + + toString: function() { + return this._id != null + ? (this._class || 'Object') + (this._name + ? " '" + this._name + "'" + : ' @' + this._id) + : '{ ' + Base.each(this, function(value, key) { + if (!/^_/.test(key)) { + var type = typeof value; + this.push(key + ': ' + (type === 'number' + ? Formatter.instance.number(value) + : type === 'string' ? "'" + value + "'" : value)); + } + }, []).join(', ') + ' }'; + }, + + getClassName: function() { + return this._class || ''; + }, + + importJSON: function(json) { + return Base.importJSON(json, this); + }, + + exportJSON: function(options) { + return Base.exportJSON(this, options); + }, + + toJSON: function() { + return Base.serialize(this); + }, + + set: function(props, exclude) { + if (props) + Base.filter(this, props, exclude, this._prioritize); + return this; + } +}, { + +beans: false, +statics: { + exports: {}, + + extend: function extend() { + var res = extend.base.apply(this, arguments), + name = res.prototype._class; + if (name && !Base.exports[name]) + Base.exports[name] = res; + return res; + }, + + equals: function(obj1, obj2) { + if (obj1 === obj2) + return true; + if (obj1 && obj1.equals) + return obj1.equals(obj2); + if (obj2 && obj2.equals) + return obj2.equals(obj1); + if (obj1 && obj2 + && typeof obj1 === 'object' && typeof obj2 === 'object') { + if (Array.isArray(obj1) && Array.isArray(obj2)) { + var length = obj1.length; + if (length !== obj2.length) + return false; + while (length--) { + if (!Base.equals(obj1[length], obj2[length])) + return false; + } + } else { + var keys = Object.keys(obj1), + length = keys.length; + if (length !== Object.keys(obj2).length) + return false; + while (length--) { + var key = keys[length]; + if (!(obj2.hasOwnProperty(key) + && Base.equals(obj1[key], obj2[key]))) + return false; + } + } + return true; + } + return false; + }, + + read: function(list, start, options, amount) { + if (this === Base) { + var value = this.peek(list, start); + list.__index++; + return value; + } + var proto = this.prototype, + readIndex = proto._readIndex, + begin = start || readIndex && list.__index || 0, + length = list.length, + obj = list[begin]; + amount = amount || length - begin; + if (obj instanceof this + || options && options.readNull && obj == null && amount <= 1) { + if (readIndex) + list.__index = begin + 1; + return obj && options && options.clone ? obj.clone() : obj; + } + obj = Base.create(proto); + if (readIndex) + obj.__read = true; + obj = obj.initialize.apply(obj, begin > 0 || begin + amount < length + ? Base.slice(list, begin, begin + amount) + : list) || obj; + if (readIndex) { + list.__index = begin + obj.__read; + var filtered = obj.__filtered; + if (filtered) { + list.__filtered = filtered; + obj.__filtered = undefined; + } + obj.__read = undefined; + } + return obj; + }, + + peek: function(list, start) { + return list[list.__index = start || list.__index || 0]; + }, + + remain: function(list) { + return list.length - (list.__index || 0); + }, + + readList: function(list, start, options, amount) { + var res = [], + entry, + begin = start || 0, + end = amount ? begin + amount : list.length; + for (var i = begin; i < end; i++) { + res.push(Array.isArray(entry = list[i]) + ? this.read(entry, 0, options) + : this.read(list, i, options, 1)); + } + return res; + }, + + readNamed: function(list, name, start, options, amount) { + var value = this.getNamed(list, name), + hasObject = value !== undefined; + if (hasObject) { + var filtered = list.__filtered; + if (!filtered) { + filtered = list.__filtered = Base.create(list[0]); + filtered.__unfiltered = list[0]; + } + filtered[name] = undefined; + } + var l = hasObject ? [value] : list, + res = this.read(l, start, options, amount); + return res; + }, + + getNamed: function(list, name) { + var arg = list[0]; + if (list._hasObject === undefined) + list._hasObject = list.length === 1 && Base.isPlainObject(arg); + if (list._hasObject) + return name ? arg[name] : list.__filtered || arg; + }, + + hasNamed: function(list, name) { + return !!this.getNamed(list, name); + }, + + filter: function(dest, source, exclude, prioritize) { + var processed; + + function handleKey(key) { + if (!(exclude && key in exclude) && + !(processed && key in processed)) { + var value = source[key]; + if (value !== undefined) + dest[key] = value; + } + } + + if (prioritize) { + var keys = {}; + for (var i = 0, key, l = prioritize.length; i < l; i++) { + if ((key = prioritize[i]) in source) { + handleKey(key); + keys[key] = true; + } + } + processed = keys; + } + + Object.keys(source.__unfiltered || source).forEach(handleKey); + return dest; + }, + + isPlainValue: function(obj, asString) { + return Base.isPlainObject(obj) || Array.isArray(obj) + || asString && typeof obj === 'string'; + }, + + serialize: function(obj, options, compact, dictionary) { + options = options || {}; + + var isRoot = !dictionary, + res; + if (isRoot) { + options.formatter = new Formatter(options.precision); + dictionary = { + length: 0, + definitions: {}, + references: {}, + add: function(item, create) { + var id = '#' + item._id, + ref = this.references[id]; + if (!ref) { + this.length++; + var res = create.call(item), + name = item._class; + if (name && res[0] !== name) + res.unshift(name); + this.definitions[id] = res; + ref = this.references[id] = [id]; + } + return ref; + } + }; + } + if (obj && obj._serialize) { + res = obj._serialize(options, dictionary); + var name = obj._class; + if (name && !obj._compactSerialize && (isRoot || !compact) + && res[0] !== name) { + res.unshift(name); + } + } else if (Array.isArray(obj)) { + res = []; + for (var i = 0, l = obj.length; i < l; i++) + res[i] = Base.serialize(obj[i], options, compact, dictionary); + } else if (Base.isPlainObject(obj)) { + res = {}; + var keys = Object.keys(obj); + for (var i = 0, l = keys.length; i < l; i++) { + var key = keys[i]; + res[key] = Base.serialize(obj[key], options, compact, + dictionary); + } + } else if (typeof obj === 'number') { + res = options.formatter.number(obj, options.precision); + } else { + res = obj; + } + return isRoot && dictionary.length > 0 + ? [['dictionary', dictionary.definitions], res] + : res; + }, + + deserialize: function(json, create, _data, _setDictionary, _isRoot) { + var res = json, + isFirst = !_data, + hasDictionary = isFirst && json && json.length + && json[0][0] === 'dictionary'; + _data = _data || {}; + if (Array.isArray(json)) { + var type = json[0], + isDictionary = type === 'dictionary'; + if (json.length == 1 && /^#/.test(type)) { + return _data.dictionary[type]; + } + type = Base.exports[type]; + res = []; + for (var i = type ? 1 : 0, l = json.length; i < l; i++) { + res.push(Base.deserialize(json[i], create, _data, + isDictionary, hasDictionary)); + } + if (type) { + var args = res; + if (create) { + res = create(type, args, isFirst || _isRoot); + } else { + res = new type(args); + } + } + } else if (Base.isPlainObject(json)) { + res = {}; + if (_setDictionary) + _data.dictionary = res; + for (var key in json) + res[key] = Base.deserialize(json[key], create, _data); + } + return hasDictionary ? res[1] : res; + }, + + exportJSON: function(obj, options) { + var json = Base.serialize(obj, options); + return options && options.asString == false + ? json + : JSON.stringify(json); + }, + + importJSON: function(json, target) { + return Base.deserialize( + typeof json === 'string' ? JSON.parse(json) : json, + function(ctor, args, isRoot) { + var useTarget = isRoot && target + && target.constructor === ctor, + obj = useTarget ? target + : Base.create(ctor.prototype); + if (args.length === 1 && obj instanceof Item + && (useTarget || !(obj instanceof Layer))) { + var arg = args[0]; + if (Base.isPlainObject(arg)) + arg.insert = false; + } + (useTarget ? obj.set : ctor).apply(obj, args); + if (useTarget) + target = null; + return obj; + }); + }, + + push: function(list, items) { + var itemsLength = items.length; + if (itemsLength < 4096) { + list.push.apply(list, items); + } else { + var startLength = list.length; + list.length += itemsLength; + for (var i = 0; i < itemsLength; i++) { + list[startLength + i] = items[i]; + } + } + return list; + }, + + splice: function(list, items, index, remove) { + var amount = items && items.length, + append = index === undefined; + index = append ? list.length : index; + if (index > list.length) + index = list.length; + for (var i = 0; i < amount; i++) + items[i]._index = index + i; + if (append) { + Base.push(list, items); + return []; + } else { + var args = [index, remove]; + if (items) + Base.push(args, items); + var removed = list.splice.apply(list, args); + for (var i = 0, l = removed.length; i < l; i++) + removed[i]._index = undefined; + for (var i = index + amount, l = list.length; i < l; i++) + list[i]._index = i; + return removed; + } + }, + + capitalize: function(str) { + return str.replace(/\b[a-z]/g, function(match) { + return match.toUpperCase(); + }); + }, + + camelize: function(str) { + return str.replace(/-(.)/g, function(match, chr) { + return chr.toUpperCase(); + }); + }, + + hyphenate: function(str) { + return str.replace(/([a-z])([A-Z])/g, '$1-$2').toLowerCase(); + } +}}); + +var Emitter = { + on: function(type, func) { + if (typeof type !== 'string') { + Base.each(type, function(value, key) { + this.on(key, value); + }, this); + } else { + var types = this._eventTypes, + entry = types && types[type], + handlers = this._callbacks = this._callbacks || {}; + handlers = handlers[type] = handlers[type] || []; + if (handlers.indexOf(func) === -1) { + handlers.push(func); + if (entry && entry.install && handlers.length === 1) + entry.install.call(this, type); + } + } + return this; + }, + + off: function(type, func) { + if (typeof type !== 'string') { + Base.each(type, function(value, key) { + this.off(key, value); + }, this); + return; + } + var types = this._eventTypes, + entry = types && types[type], + handlers = this._callbacks && this._callbacks[type], + index; + if (handlers) { + if (!func || (index = handlers.indexOf(func)) !== -1 + && handlers.length === 1) { + if (entry && entry.uninstall) + entry.uninstall.call(this, type); + delete this._callbacks[type]; + } else if (index !== -1) { + handlers.splice(index, 1); + } + } + return this; + }, + + once: function(type, func) { + return this.on(type, function() { + func.apply(this, arguments); + this.off(type, func); + }); + }, + + emit: function(type, event) { + var handlers = this._callbacks && this._callbacks[type]; + if (!handlers) + return false; + var args = Base.slice(arguments, 1), + setTarget = event && event.target && !event.currentTarget; + handlers = handlers.slice(); + if (setTarget) + event.currentTarget = this; + for (var i = 0, l = handlers.length; i < l; i++) { + if (handlers[i].apply(this, args) == false) { + if (event && event.stop) + event.stop(); + break; + } + } + if (setTarget) + delete event.currentTarget; + return true; + }, + + responds: function(type) { + return !!(this._callbacks && this._callbacks[type]); + }, + + attach: '#on', + detach: '#off', + fire: '#emit', + + _installEvents: function(install) { + var types = this._eventTypes, + handlers = this._callbacks, + key = install ? 'install' : 'uninstall'; + if (types) { + for (var type in handlers) { + if (handlers[type].length > 0) { + var entry = types[type], + func = entry && entry[key]; + if (func) + func.call(this, type); + } + } + } + }, + + statics: { + inject: function inject(src) { + var events = src._events; + if (events) { + var types = {}; + Base.each(events, function(entry, key) { + var isString = typeof entry === 'string', + name = isString ? entry : key, + part = Base.capitalize(name), + type = name.substring(2).toLowerCase(); + types[type] = isString ? {} : entry; + name = '_' + name; + src['get' + part] = function() { + return this[name]; + }; + src['set' + part] = function(func) { + var prev = this[name]; + if (prev) + this.off(type, prev); + if (func) + this.on(type, func); + this[name] = func; + }; + }); + src._eventTypes = types; + } + return inject.base.apply(this, arguments); + } + } +}; + +var PaperScope = Base.extend({ + _class: 'PaperScope', + + initialize: function PaperScope() { + paper = this; + this.settings = new Base({ + applyMatrix: true, + insertItems: true, + handleSize: 4, + hitTolerance: 0 + }); + this.project = null; + this.projects = []; + this.tools = []; + this._id = PaperScope._id++; + PaperScope._scopes[this._id] = this; + var proto = PaperScope.prototype; + if (!this.support) { + var ctx = CanvasProvider.getContext(1, 1) || {}; + proto.support = { + nativeDash: 'setLineDash' in ctx || 'mozDash' in ctx, + nativeBlendModes: BlendMode.nativeModes + }; + CanvasProvider.release(ctx); + } + if (!this.agent) { + var user = self.navigator.userAgent.toLowerCase(), + os = (/(darwin|win|mac|linux|freebsd|sunos)/.exec(user)||[])[0], + platform = os === 'darwin' ? 'mac' : os, + agent = proto.agent = proto.browser = { platform: platform }; + if (platform) + agent[platform] = true; + user.replace( + /(opera|chrome|safari|webkit|firefox|msie|trident|atom|node)\/?\s*([.\d]+)(?:.*version\/([.\d]+))?(?:.*rv\:v?([.\d]+))?/g, + function(match, n, v1, v2, rv) { + if (!agent.chrome) { + var v = n === 'opera' ? v2 : + /^(node|trident)$/.test(n) ? rv : v1; + agent.version = v; + agent.versionNumber = parseFloat(v); + n = n === 'trident' ? 'msie' : n; + agent.name = n; + agent[n] = true; + } + } + ); + if (agent.chrome) + delete agent.webkit; + if (agent.atom) + delete agent.chrome; + } + }, + + version: "0.11.8", + + getView: function() { + var project = this.project; + return project && project._view; + }, + + getPaper: function() { + return this; + }, + + execute: function(code, options) { + }, + + install: function(scope) { + var that = this; + Base.each(['project', 'view', 'tool'], function(key) { + Base.define(scope, key, { + configurable: true, + get: function() { + return that[key]; + } + }); + }); + for (var key in this) + if (!/^_/.test(key) && this[key]) + scope[key] = this[key]; + }, + + setup: function(element) { + paper = this; + this.project = new Project(element); + return this; + }, + + createCanvas: function(width, height) { + return CanvasProvider.getCanvas(width, height); + }, + + activate: function() { + paper = this; + }, + + clear: function() { + var projects = this.projects, + tools = this.tools; + for (var i = projects.length - 1; i >= 0; i--) + projects[i].remove(); + for (var i = tools.length - 1; i >= 0; i--) + tools[i].remove(); + }, + + remove: function() { + this.clear(); + delete PaperScope._scopes[this._id]; + }, + + statics: new function() { + function handleAttribute(name) { + name += 'Attribute'; + return function(el, attr) { + return el[name](attr) || el[name]('data-paper-' + attr); + }; + } + + return { + _scopes: {}, + _id: 0, + + get: function(id) { + return this._scopes[id] || null; + }, + + getAttribute: handleAttribute('get'), + hasAttribute: handleAttribute('has') + }; + } +}); + +var PaperScopeItem = Base.extend(Emitter, { + + initialize: function(activate) { + this._scope = paper; + this._index = this._scope[this._list].push(this) - 1; + if (activate || !this._scope[this._reference]) + this.activate(); + }, + + activate: function() { + if (!this._scope) + return false; + var prev = this._scope[this._reference]; + if (prev && prev !== this) + prev.emit('deactivate'); + this._scope[this._reference] = this; + this.emit('activate', prev); + return true; + }, + + isActive: function() { + return this._scope[this._reference] === this; + }, + + remove: function() { + if (this._index == null) + return false; + Base.splice(this._scope[this._list], null, this._index, 1); + if (this._scope[this._reference] == this) + this._scope[this._reference] = null; + this._scope = null; + return true; + }, + + getView: function() { + return this._scope.getView(); + } +}); + +var Formatter = Base.extend({ + initialize: function(precision) { + this.precision = Base.pick(precision, 5); + this.multiplier = Math.pow(10, this.precision); + }, + + number: function(val) { + return this.precision < 16 + ? Math.round(val * this.multiplier) / this.multiplier : val; + }, + + pair: function(val1, val2, separator) { + return this.number(val1) + (separator || ',') + this.number(val2); + }, + + point: function(val, separator) { + return this.number(val.x) + (separator || ',') + this.number(val.y); + }, + + size: function(val, separator) { + return this.number(val.width) + (separator || ',') + + this.number(val.height); + }, + + rectangle: function(val, separator) { + return this.point(val, separator) + (separator || ',') + + this.size(val, separator); + } +}); + +Formatter.instance = new Formatter(); + +var Numerical = new function() { + + var abscissas = [ + [ 0.5773502691896257645091488], + [0,0.7745966692414833770358531], + [ 0.3399810435848562648026658,0.8611363115940525752239465], + [0,0.5384693101056830910363144,0.9061798459386639927976269], + [ 0.2386191860831969086305017,0.6612093864662645136613996,0.9324695142031520278123016], + [0,0.4058451513773971669066064,0.7415311855993944398638648,0.9491079123427585245261897], + [ 0.1834346424956498049394761,0.5255324099163289858177390,0.7966664774136267395915539,0.9602898564975362316835609], + [0,0.3242534234038089290385380,0.6133714327005903973087020,0.8360311073266357942994298,0.9681602395076260898355762], + [ 0.1488743389816312108848260,0.4333953941292471907992659,0.6794095682990244062343274,0.8650633666889845107320967,0.9739065285171717200779640], + [0,0.2695431559523449723315320,0.5190961292068118159257257,0.7301520055740493240934163,0.8870625997680952990751578,0.9782286581460569928039380], + [ 0.1252334085114689154724414,0.3678314989981801937526915,0.5873179542866174472967024,0.7699026741943046870368938,0.9041172563704748566784659,0.9815606342467192506905491], + [0,0.2304583159551347940655281,0.4484927510364468528779129,0.6423493394403402206439846,0.8015780907333099127942065,0.9175983992229779652065478,0.9841830547185881494728294], + [ 0.1080549487073436620662447,0.3191123689278897604356718,0.5152486363581540919652907,0.6872929048116854701480198,0.8272013150697649931897947,0.9284348836635735173363911,0.9862838086968123388415973], + [0,0.2011940939974345223006283,0.3941513470775633698972074,0.5709721726085388475372267,0.7244177313601700474161861,0.8482065834104272162006483,0.9372733924007059043077589,0.9879925180204854284895657], + [ 0.0950125098376374401853193,0.2816035507792589132304605,0.4580167776572273863424194,0.6178762444026437484466718,0.7554044083550030338951012,0.8656312023878317438804679,0.9445750230732325760779884,0.9894009349916499325961542] + ]; + + var weights = [ + [1], + [0.8888888888888888888888889,0.5555555555555555555555556], + [0.6521451548625461426269361,0.3478548451374538573730639], + [0.5688888888888888888888889,0.4786286704993664680412915,0.2369268850561890875142640], + [0.4679139345726910473898703,0.3607615730481386075698335,0.1713244923791703450402961], + [0.4179591836734693877551020,0.3818300505051189449503698,0.2797053914892766679014678,0.1294849661688696932706114], + [0.3626837833783619829651504,0.3137066458778872873379622,0.2223810344533744705443560,0.1012285362903762591525314], + [0.3302393550012597631645251,0.3123470770400028400686304,0.2606106964029354623187429,0.1806481606948574040584720,0.0812743883615744119718922], + [0.2955242247147528701738930,0.2692667193099963550912269,0.2190863625159820439955349,0.1494513491505805931457763,0.0666713443086881375935688], + [0.2729250867779006307144835,0.2628045445102466621806889,0.2331937645919904799185237,0.1862902109277342514260976,0.1255803694649046246346943,0.0556685671161736664827537], + [0.2491470458134027850005624,0.2334925365383548087608499,0.2031674267230659217490645,0.1600783285433462263346525,0.1069393259953184309602547,0.0471753363865118271946160], + [0.2325515532308739101945895,0.2262831802628972384120902,0.2078160475368885023125232,0.1781459807619457382800467,0.1388735102197872384636018,0.0921214998377284479144218,0.0404840047653158795200216], + [0.2152638534631577901958764,0.2051984637212956039659241,0.1855383974779378137417166,0.1572031671581935345696019,0.1215185706879031846894148,0.0801580871597602098056333,0.0351194603317518630318329], + [0.2025782419255612728806202,0.1984314853271115764561183,0.1861610000155622110268006,0.1662692058169939335532009,0.1395706779261543144478048,0.1071592204671719350118695,0.0703660474881081247092674,0.0307532419961172683546284], + [0.1894506104550684962853967,0.1826034150449235888667637,0.1691565193950025381893121,0.1495959888165767320815017,0.1246289712555338720524763,0.0951585116824927848099251,0.0622535239386478928628438,0.0271524594117540948517806] + ]; + + var abs = Math.abs, + sqrt = Math.sqrt, + pow = Math.pow, + log2 = Math.log2 || function(x) { + return Math.log(x) * Math.LOG2E; + }, + EPSILON = 1e-12, + MACHINE_EPSILON = 1.12e-16; + + function clamp(value, min, max) { + return value < min ? min : value > max ? max : value; + } + + function getDiscriminant(a, b, c) { + function split(v) { + var x = v * 134217729, + y = v - x, + hi = y + x, + lo = v - hi; + return [hi, lo]; + } + + var D = b * b - a * c, + E = b * b + a * c; + if (abs(D) * 3 < E) { + var ad = split(a), + bd = split(b), + cd = split(c), + p = b * b, + dp = (bd[0] * bd[0] - p + 2 * bd[0] * bd[1]) + bd[1] * bd[1], + q = a * c, + dq = (ad[0] * cd[0] - q + ad[0] * cd[1] + ad[1] * cd[0]) + + ad[1] * cd[1]; + D = (p - q) + (dp - dq); + } + return D; + } + + function getNormalizationFactor() { + var norm = Math.max.apply(Math, arguments); + return norm && (norm < 1e-8 || norm > 1e8) + ? pow(2, -Math.round(log2(norm))) + : 0; + } + + return { + EPSILON: EPSILON, + MACHINE_EPSILON: MACHINE_EPSILON, + CURVETIME_EPSILON: 1e-8, + GEOMETRIC_EPSILON: 1e-7, + TRIGONOMETRIC_EPSILON: 1e-8, + KAPPA: 4 * (sqrt(2) - 1) / 3, + + isZero: function(val) { + return val >= -EPSILON && val <= EPSILON; + }, + + clamp: clamp, + + integrate: function(f, a, b, n) { + var x = abscissas[n - 2], + w = weights[n - 2], + A = (b - a) * 0.5, + B = A + a, + i = 0, + m = (n + 1) >> 1, + sum = n & 1 ? w[i++] * f(B) : 0; + while (i < m) { + var Ax = A * x[i]; + sum += w[i++] * (f(B + Ax) + f(B - Ax)); + } + return A * sum; + }, + + findRoot: function(f, df, x, a, b, n, tolerance) { + for (var i = 0; i < n; i++) { + var fx = f(x), + dx = fx / df(x), + nx = x - dx; + if (abs(dx) < tolerance) { + x = nx; + break; + } + if (fx > 0) { + b = x; + x = nx <= a ? (a + b) * 0.5 : nx; + } else { + a = x; + x = nx >= b ? (a + b) * 0.5 : nx; + } + } + return clamp(x, a, b); + }, + + solveQuadratic: function(a, b, c, roots, min, max) { + var x1, x2 = Infinity; + if (abs(a) < EPSILON) { + if (abs(b) < EPSILON) + return abs(c) < EPSILON ? -1 : 0; + x1 = -c / b; + } else { + b *= -0.5; + var D = getDiscriminant(a, b, c); + if (D && abs(D) < MACHINE_EPSILON) { + var f = getNormalizationFactor(abs(a), abs(b), abs(c)); + if (f) { + a *= f; + b *= f; + c *= f; + D = getDiscriminant(a, b, c); + } + } + if (D >= -MACHINE_EPSILON) { + var Q = D < 0 ? 0 : sqrt(D), + R = b + (b < 0 ? -Q : Q); + if (R === 0) { + x1 = c / a; + x2 = -x1; + } else { + x1 = R / a; + x2 = c / R; + } + } + } + var count = 0, + boundless = min == null, + minB = min - EPSILON, + maxB = max + EPSILON; + if (isFinite(x1) && (boundless || x1 > minB && x1 < maxB)) + roots[count++] = boundless ? x1 : clamp(x1, min, max); + if (x2 !== x1 + && isFinite(x2) && (boundless || x2 > minB && x2 < maxB)) + roots[count++] = boundless ? x2 : clamp(x2, min, max); + return count; + }, + + solveCubic: function(a, b, c, d, roots, min, max) { + var f = getNormalizationFactor(abs(a), abs(b), abs(c), abs(d)), + x, b1, c2, qd, q; + if (f) { + a *= f; + b *= f; + c *= f; + d *= f; + } + + function evaluate(x0) { + x = x0; + var tmp = a * x; + b1 = tmp + b; + c2 = b1 * x + c; + qd = (tmp + b1) * x + c2; + q = c2 * x + d; + } + + if (abs(a) < EPSILON) { + a = b; + b1 = c; + c2 = d; + x = Infinity; + } else if (abs(d) < EPSILON) { + b1 = b; + c2 = c; + x = 0; + } else { + evaluate(-(b / a) / 3); + var t = q / a, + r = pow(abs(t), 1/3), + s = t < 0 ? -1 : 1, + td = -qd / a, + rd = td > 0 ? 1.324717957244746 * Math.max(r, sqrt(td)) : r, + x0 = x - s * rd; + if (x0 !== x) { + do { + evaluate(x0); + x0 = qd === 0 ? x : x - q / qd / (1 + MACHINE_EPSILON); + } while (s * x0 > s * x); + if (abs(a) * x * x > abs(d / x)) { + c2 = -d / x; + b1 = (c2 - c) / x; + } + } + } + var count = Numerical.solveQuadratic(a, b1, c2, roots, min, max), + boundless = min == null; + if (isFinite(x) && (count === 0 + || count > 0 && x !== roots[0] && x !== roots[1]) + && (boundless || x > min - EPSILON && x < max + EPSILON)) + roots[count++] = boundless ? x : clamp(x, min, max); + return count; + } + }; +}; + +var UID = { + _id: 1, + _pools: {}, + + get: function(name) { + if (name) { + var pool = this._pools[name]; + if (!pool) + pool = this._pools[name] = { _id: 1 }; + return pool._id++; + } else { + return this._id++; + } + } +}; + +var Point = Base.extend({ + _class: 'Point', + _readIndex: true, + + initialize: function Point(arg0, arg1) { + var type = typeof arg0, + reading = this.__read, + read = 0; + if (type === 'number') { + var hasY = typeof arg1 === 'number'; + this._set(arg0, hasY ? arg1 : arg0); + if (reading) + read = hasY ? 2 : 1; + } else if (type === 'undefined' || arg0 === null) { + this._set(0, 0); + if (reading) + read = arg0 === null ? 1 : 0; + } else { + var obj = type === 'string' ? arg0.split(/[\s,]+/) || [] : arg0; + read = 1; + if (Array.isArray(obj)) { + this._set(+obj[0], +(obj.length > 1 ? obj[1] : obj[0])); + } else if ('x' in obj) { + this._set(obj.x || 0, obj.y || 0); + } else if ('width' in obj) { + this._set(obj.width || 0, obj.height || 0); + } else if ('angle' in obj) { + this._set(obj.length || 0, 0); + this.setAngle(obj.angle || 0); + } else { + this._set(0, 0); + read = 0; + } + } + if (reading) + this.__read = read; + return this; + }, + + set: '#initialize', + + _set: function(x, y) { + this.x = x; + this.y = y; + return this; + }, + + equals: function(point) { + return this === point || point + && (this.x === point.x && this.y === point.y + || Array.isArray(point) + && this.x === point[0] && this.y === point[1]) + || false; + }, + + clone: function() { + return new Point(this.x, this.y); + }, + + toString: function() { + var f = Formatter.instance; + return '{ x: ' + f.number(this.x) + ', y: ' + f.number(this.y) + ' }'; + }, + + _serialize: function(options) { + var f = options.formatter; + return [f.number(this.x), f.number(this.y)]; + }, + + getLength: function() { + return Math.sqrt(this.x * this.x + this.y * this.y); + }, + + setLength: function(length) { + if (this.isZero()) { + var angle = this._angle || 0; + this._set( + Math.cos(angle) * length, + Math.sin(angle) * length + ); + } else { + var scale = length / this.getLength(); + if (Numerical.isZero(scale)) + this.getAngle(); + this._set( + this.x * scale, + this.y * scale + ); + } + }, + getAngle: function() { + return this.getAngleInRadians.apply(this, arguments) * 180 / Math.PI; + }, + + setAngle: function(angle) { + this.setAngleInRadians.call(this, angle * Math.PI / 180); + }, + + getAngleInDegrees: '#getAngle', + setAngleInDegrees: '#setAngle', + + getAngleInRadians: function() { + if (!arguments.length) { + return this.isZero() + ? this._angle || 0 + : this._angle = Math.atan2(this.y, this.x); + } else { + var point = Point.read(arguments), + div = this.getLength() * point.getLength(); + if (Numerical.isZero(div)) { + return NaN; + } else { + var a = this.dot(point) / div; + return Math.acos(a < -1 ? -1 : a > 1 ? 1 : a); + } + } + }, + + setAngleInRadians: function(angle) { + this._angle = angle; + if (!this.isZero()) { + var length = this.getLength(); + this._set( + Math.cos(angle) * length, + Math.sin(angle) * length + ); + } + }, + + getQuadrant: function() { + return this.x >= 0 ? this.y >= 0 ? 1 : 4 : this.y >= 0 ? 2 : 3; + } +}, { + beans: false, + + getDirectedAngle: function() { + var point = Point.read(arguments); + return Math.atan2(this.cross(point), this.dot(point)) * 180 / Math.PI; + }, + + getDistance: function() { + var point = Point.read(arguments), + x = point.x - this.x, + y = point.y - this.y, + d = x * x + y * y, + squared = Base.read(arguments); + return squared ? d : Math.sqrt(d); + }, + + normalize: function(length) { + if (length === undefined) + length = 1; + var current = this.getLength(), + scale = current !== 0 ? length / current : 0, + point = new Point(this.x * scale, this.y * scale); + if (scale >= 0) + point._angle = this._angle; + return point; + }, + + rotate: function(angle, center) { + if (angle === 0) + return this.clone(); + angle = angle * Math.PI / 180; + var point = center ? this.subtract(center) : this, + sin = Math.sin(angle), + cos = Math.cos(angle); + point = new Point( + point.x * cos - point.y * sin, + point.x * sin + point.y * cos + ); + return center ? point.add(center) : point; + }, + + transform: function(matrix) { + return matrix ? matrix._transformPoint(this) : this; + }, + + add: function() { + var point = Point.read(arguments); + return new Point(this.x + point.x, this.y + point.y); + }, + + subtract: function() { + var point = Point.read(arguments); + return new Point(this.x - point.x, this.y - point.y); + }, + + multiply: function() { + var point = Point.read(arguments); + return new Point(this.x * point.x, this.y * point.y); + }, + + divide: function() { + var point = Point.read(arguments); + return new Point(this.x / point.x, this.y / point.y); + }, + + modulo: function() { + var point = Point.read(arguments); + return new Point(this.x % point.x, this.y % point.y); + }, + + negate: function() { + return new Point(-this.x, -this.y); + }, + + isInside: function() { + return Rectangle.read(arguments).contains(this); + }, + + isClose: function() { + var point = Point.read(arguments), + tolerance = Base.read(arguments); + return this.getDistance(point) <= tolerance; + }, + + isCollinear: function() { + var point = Point.read(arguments); + return Point.isCollinear(this.x, this.y, point.x, point.y); + }, + + isColinear: '#isCollinear', + + isOrthogonal: function() { + var point = Point.read(arguments); + return Point.isOrthogonal(this.x, this.y, point.x, point.y); + }, + + isZero: function() { + var isZero = Numerical.isZero; + return isZero(this.x) && isZero(this.y); + }, + + isNaN: function() { + return isNaN(this.x) || isNaN(this.y); + }, + + isInQuadrant: function(q) { + return this.x * (q > 1 && q < 4 ? -1 : 1) >= 0 + && this.y * (q > 2 ? -1 : 1) >= 0; + }, + + dot: function() { + var point = Point.read(arguments); + return this.x * point.x + this.y * point.y; + }, + + cross: function() { + var point = Point.read(arguments); + return this.x * point.y - this.y * point.x; + }, + + project: function() { + var point = Point.read(arguments), + scale = point.isZero() ? 0 : this.dot(point) / point.dot(point); + return new Point( + point.x * scale, + point.y * scale + ); + }, + + statics: { + min: function() { + var point1 = Point.read(arguments), + point2 = Point.read(arguments); + return new Point( + Math.min(point1.x, point2.x), + Math.min(point1.y, point2.y) + ); + }, + + max: function() { + var point1 = Point.read(arguments), + point2 = Point.read(arguments); + return new Point( + Math.max(point1.x, point2.x), + Math.max(point1.y, point2.y) + ); + }, + + random: function() { + return new Point(Math.random(), Math.random()); + }, + + isCollinear: function(x1, y1, x2, y2) { + return Math.abs(x1 * y2 - y1 * x2) + <= Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)) + * 1e-8; + }, + + isOrthogonal: function(x1, y1, x2, y2) { + return Math.abs(x1 * x2 + y1 * y2) + <= Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2)) + * 1e-8; + } + } +}, Base.each(['round', 'ceil', 'floor', 'abs'], function(key) { + var op = Math[key]; + this[key] = function() { + return new Point(op(this.x), op(this.y)); + }; +}, {})); + +var LinkedPoint = Point.extend({ + initialize: function Point(x, y, owner, setter) { + this._x = x; + this._y = y; + this._owner = owner; + this._setter = setter; + }, + + _set: function(x, y, _dontNotify) { + this._x = x; + this._y = y; + if (!_dontNotify) + this._owner[this._setter](this); + return this; + }, + + getX: function() { + return this._x; + }, + + setX: function(x) { + this._x = x; + this._owner[this._setter](this); + }, + + getY: function() { + return this._y; + }, + + setY: function(y) { + this._y = y; + this._owner[this._setter](this); + }, + + isSelected: function() { + return !!(this._owner._selection & this._getSelection()); + }, + + setSelected: function(selected) { + this._owner._changeSelection(this._getSelection(), selected); + }, + + _getSelection: function() { + return this._setter === 'setPosition' ? 4 : 0; + } +}); + +var Size = Base.extend({ + _class: 'Size', + _readIndex: true, + + initialize: function Size(arg0, arg1) { + var type = typeof arg0, + reading = this.__read, + read = 0; + if (type === 'number') { + var hasHeight = typeof arg1 === 'number'; + this._set(arg0, hasHeight ? arg1 : arg0); + if (reading) + read = hasHeight ? 2 : 1; + } else if (type === 'undefined' || arg0 === null) { + this._set(0, 0); + if (reading) + read = arg0 === null ? 1 : 0; + } else { + var obj = type === 'string' ? arg0.split(/[\s,]+/) || [] : arg0; + read = 1; + if (Array.isArray(obj)) { + this._set(+obj[0], +(obj.length > 1 ? obj[1] : obj[0])); + } else if ('width' in obj) { + this._set(obj.width || 0, obj.height || 0); + } else if ('x' in obj) { + this._set(obj.x || 0, obj.y || 0); + } else { + this._set(0, 0); + read = 0; + } + } + if (reading) + this.__read = read; + return this; + }, + + set: '#initialize', + + _set: function(width, height) { + this.width = width; + this.height = height; + return this; + }, + + equals: function(size) { + return size === this || size && (this.width === size.width + && this.height === size.height + || Array.isArray(size) && this.width === size[0] + && this.height === size[1]) || false; + }, + + clone: function() { + return new Size(this.width, this.height); + }, + + toString: function() { + var f = Formatter.instance; + return '{ width: ' + f.number(this.width) + + ', height: ' + f.number(this.height) + ' }'; + }, + + _serialize: function(options) { + var f = options.formatter; + return [f.number(this.width), + f.number(this.height)]; + }, + + add: function() { + var size = Size.read(arguments); + return new Size(this.width + size.width, this.height + size.height); + }, + + subtract: function() { + var size = Size.read(arguments); + return new Size(this.width - size.width, this.height - size.height); + }, + + multiply: function() { + var size = Size.read(arguments); + return new Size(this.width * size.width, this.height * size.height); + }, + + divide: function() { + var size = Size.read(arguments); + return new Size(this.width / size.width, this.height / size.height); + }, + + modulo: function() { + var size = Size.read(arguments); + return new Size(this.width % size.width, this.height % size.height); + }, + + negate: function() { + return new Size(-this.width, -this.height); + }, + + isZero: function() { + var isZero = Numerical.isZero; + return isZero(this.width) && isZero(this.height); + }, + + isNaN: function() { + return isNaN(this.width) || isNaN(this.height); + }, + + statics: { + min: function(size1, size2) { + return new Size( + Math.min(size1.width, size2.width), + Math.min(size1.height, size2.height)); + }, + + max: function(size1, size2) { + return new Size( + Math.max(size1.width, size2.width), + Math.max(size1.height, size2.height)); + }, + + random: function() { + return new Size(Math.random(), Math.random()); + } + } +}, Base.each(['round', 'ceil', 'floor', 'abs'], function(key) { + var op = Math[key]; + this[key] = function() { + return new Size(op(this.width), op(this.height)); + }; +}, {})); + +var LinkedSize = Size.extend({ + initialize: function Size(width, height, owner, setter) { + this._width = width; + this._height = height; + this._owner = owner; + this._setter = setter; + }, + + _set: function(width, height, _dontNotify) { + this._width = width; + this._height = height; + if (!_dontNotify) + this._owner[this._setter](this); + return this; + }, + + getWidth: function() { + return this._width; + }, + + setWidth: function(width) { + this._width = width; + this._owner[this._setter](this); + }, + + getHeight: function() { + return this._height; + }, + + setHeight: function(height) { + this._height = height; + this._owner[this._setter](this); + } +}); + +var Rectangle = Base.extend({ + _class: 'Rectangle', + _readIndex: true, + beans: true, + + initialize: function Rectangle(arg0, arg1, arg2, arg3) { + var type = typeof arg0, + read; + if (type === 'number') { + this._set(arg0, arg1, arg2, arg3); + read = 4; + } else if (type === 'undefined' || arg0 === null) { + this._set(0, 0, 0, 0); + read = arg0 === null ? 1 : 0; + } else if (arguments.length === 1) { + if (Array.isArray(arg0)) { + this._set.apply(this, arg0); + read = 1; + } else if (arg0.x !== undefined || arg0.width !== undefined) { + this._set(arg0.x || 0, arg0.y || 0, + arg0.width || 0, arg0.height || 0); + read = 1; + } else if (arg0.from === undefined && arg0.to === undefined) { + this._set(0, 0, 0, 0); + Base.filter(this, arg0); + read = 1; + } + } + if (read === undefined) { + var frm = Point.readNamed(arguments, 'from'), + next = Base.peek(arguments), + x = frm.x, + y = frm.y, + width, + height; + if (next && next.x !== undefined + || Base.hasNamed(arguments, 'to')) { + var to = Point.readNamed(arguments, 'to'); + width = to.x - x; + height = to.y - y; + if (width < 0) { + x = to.x; + width = -width; + } + if (height < 0) { + y = to.y; + height = -height; + } + } else { + var size = Size.read(arguments); + width = size.width; + height = size.height; + } + this._set(x, y, width, height); + read = arguments.__index; + var filtered = arguments.__filtered; + if (filtered) + this.__filtered = filtered; + } + if (this.__read) + this.__read = read; + return this; + }, + + set: '#initialize', + + _set: function(x, y, width, height) { + this.x = x; + this.y = y; + this.width = width; + this.height = height; + return this; + }, + + clone: function() { + return new Rectangle(this.x, this.y, this.width, this.height); + }, + + equals: function(rect) { + var rt = Base.isPlainValue(rect) + ? Rectangle.read(arguments) + : rect; + return rt === this + || rt && this.x === rt.x && this.y === rt.y + && this.width === rt.width && this.height === rt.height + || false; + }, + + toString: function() { + var f = Formatter.instance; + return '{ x: ' + f.number(this.x) + + ', y: ' + f.number(this.y) + + ', width: ' + f.number(this.width) + + ', height: ' + f.number(this.height) + + ' }'; + }, + + _serialize: function(options) { + var f = options.formatter; + return [f.number(this.x), + f.number(this.y), + f.number(this.width), + f.number(this.height)]; + }, + + getPoint: function(_dontLink) { + var ctor = _dontLink ? Point : LinkedPoint; + return new ctor(this.x, this.y, this, 'setPoint'); + }, + + setPoint: function() { + var point = Point.read(arguments); + this.x = point.x; + this.y = point.y; + }, + + getSize: function(_dontLink) { + var ctor = _dontLink ? Size : LinkedSize; + return new ctor(this.width, this.height, this, 'setSize'); + }, + + _fw: 1, + _fh: 1, + + setSize: function() { + var size = Size.read(arguments), + sx = this._sx, + sy = this._sy, + w = size.width, + h = size.height; + if (sx) { + this.x += (this.width - w) * sx; + } + if (sy) { + this.y += (this.height - h) * sy; + } + this.width = w; + this.height = h; + this._fw = this._fh = 1; + }, + + getLeft: function() { + return this.x; + }, + + setLeft: function(left) { + if (!this._fw) { + var amount = left - this.x; + this.width -= this._sx === 0.5 ? amount * 2 : amount; + } + this.x = left; + this._sx = this._fw = 0; + }, + + getTop: function() { + return this.y; + }, + + setTop: function(top) { + if (!this._fh) { + var amount = top - this.y; + this.height -= this._sy === 0.5 ? amount * 2 : amount; + } + this.y = top; + this._sy = this._fh = 0; + }, + + getRight: function() { + return this.x + this.width; + }, + + setRight: function(right) { + if (!this._fw) { + var amount = right - this.x; + this.width = this._sx === 0.5 ? amount * 2 : amount; + } + this.x = right - this.width; + this._sx = 1; + this._fw = 0; + }, + + getBottom: function() { + return this.y + this.height; + }, + + setBottom: function(bottom) { + if (!this._fh) { + var amount = bottom - this.y; + this.height = this._sy === 0.5 ? amount * 2 : amount; + } + this.y = bottom - this.height; + this._sy = 1; + this._fh = 0; + }, + + getCenterX: function() { + return this.x + this.width / 2; + }, + + setCenterX: function(x) { + if (this._fw || this._sx === 0.5) { + this.x = x - this.width / 2; + } else { + if (this._sx) { + this.x += (x - this.x) * 2 * this._sx; + } + this.width = (x - this.x) * 2; + } + this._sx = 0.5; + this._fw = 0; + }, + + getCenterY: function() { + return this.y + this.height / 2; + }, + + setCenterY: function(y) { + if (this._fh || this._sy === 0.5) { + this.y = y - this.height / 2; + } else { + if (this._sy) { + this.y += (y - this.y) * 2 * this._sy; + } + this.height = (y - this.y) * 2; + } + this._sy = 0.5; + this._fh = 0; + }, + + getCenter: function(_dontLink) { + var ctor = _dontLink ? Point : LinkedPoint; + return new ctor(this.getCenterX(), this.getCenterY(), this, 'setCenter'); + }, + + setCenter: function() { + var point = Point.read(arguments); + this.setCenterX(point.x); + this.setCenterY(point.y); + return this; + }, + + getArea: function() { + return this.width * this.height; + }, + + isEmpty: function() { + return this.width === 0 || this.height === 0; + }, + + contains: function(arg) { + return arg && arg.width !== undefined + || (Array.isArray(arg) ? arg : arguments).length === 4 + ? this._containsRectangle(Rectangle.read(arguments)) + : this._containsPoint(Point.read(arguments)); + }, + + _containsPoint: function(point) { + var x = point.x, + y = point.y; + return x >= this.x && y >= this.y + && x <= this.x + this.width + && y <= this.y + this.height; + }, + + _containsRectangle: function(rect) { + var x = rect.x, + y = rect.y; + return x >= this.x && y >= this.y + && x + rect.width <= this.x + this.width + && y + rect.height <= this.y + this.height; + }, + + intersects: function() { + var rect = Rectangle.read(arguments), + epsilon = Base.read(arguments) || 0; + return rect.x + rect.width > this.x - epsilon + && rect.y + rect.height > this.y - epsilon + && rect.x < this.x + this.width + epsilon + && rect.y < this.y + this.height + epsilon; + }, + + intersect: function() { + var rect = Rectangle.read(arguments), + x1 = Math.max(this.x, rect.x), + y1 = Math.max(this.y, rect.y), + x2 = Math.min(this.x + this.width, rect.x + rect.width), + y2 = Math.min(this.y + this.height, rect.y + rect.height); + return new Rectangle(x1, y1, x2 - x1, y2 - y1); + }, + + unite: function() { + var rect = Rectangle.read(arguments), + x1 = Math.min(this.x, rect.x), + y1 = Math.min(this.y, rect.y), + x2 = Math.max(this.x + this.width, rect.x + rect.width), + y2 = Math.max(this.y + this.height, rect.y + rect.height); + return new Rectangle(x1, y1, x2 - x1, y2 - y1); + }, + + include: function() { + var point = Point.read(arguments); + var x1 = Math.min(this.x, point.x), + y1 = Math.min(this.y, point.y), + x2 = Math.max(this.x + this.width, point.x), + y2 = Math.max(this.y + this.height, point.y); + return new Rectangle(x1, y1, x2 - x1, y2 - y1); + }, + + expand: function() { + var amount = Size.read(arguments), + hor = amount.width, + ver = amount.height; + return new Rectangle(this.x - hor / 2, this.y - ver / 2, + this.width + hor, this.height + ver); + }, + + scale: function(hor, ver) { + return this.expand(this.width * hor - this.width, + this.height * (ver === undefined ? hor : ver) - this.height); + } +}, Base.each([ + ['Top', 'Left'], ['Top', 'Right'], + ['Bottom', 'Left'], ['Bottom', 'Right'], + ['Left', 'Center'], ['Top', 'Center'], + ['Right', 'Center'], ['Bottom', 'Center'] + ], + function(parts, index) { + var part = parts.join(''), + xFirst = /^[RL]/.test(part); + if (index >= 4) + parts[1] += xFirst ? 'Y' : 'X'; + var x = parts[xFirst ? 0 : 1], + y = parts[xFirst ? 1 : 0], + getX = 'get' + x, + getY = 'get' + y, + setX = 'set' + x, + setY = 'set' + y, + get = 'get' + part, + set = 'set' + part; + this[get] = function(_dontLink) { + var ctor = _dontLink ? Point : LinkedPoint; + return new ctor(this[getX](), this[getY](), this, set); + }; + this[set] = function() { + var point = Point.read(arguments); + this[setX](point.x); + this[setY](point.y); + }; + }, { + beans: true + } +)); + +var LinkedRectangle = Rectangle.extend({ + initialize: function Rectangle(x, y, width, height, owner, setter) { + this._set(x, y, width, height, true); + this._owner = owner; + this._setter = setter; + }, + + _set: function(x, y, width, height, _dontNotify) { + this._x = x; + this._y = y; + this._width = width; + this._height = height; + if (!_dontNotify) + this._owner[this._setter](this); + return this; + } +}, +new function() { + var proto = Rectangle.prototype; + + return Base.each(['x', 'y', 'width', 'height'], function(key) { + var part = Base.capitalize(key), + internal = '_' + key; + this['get' + part] = function() { + return this[internal]; + }; + + this['set' + part] = function(value) { + this[internal] = value; + if (!this._dontNotify) + this._owner[this._setter](this); + }; + }, Base.each(['Point', 'Size', 'Center', + 'Left', 'Top', 'Right', 'Bottom', 'CenterX', 'CenterY', + 'TopLeft', 'TopRight', 'BottomLeft', 'BottomRight', + 'LeftCenter', 'TopCenter', 'RightCenter', 'BottomCenter'], + function(key) { + var name = 'set' + key; + this[name] = function() { + this._dontNotify = true; + proto[name].apply(this, arguments); + this._dontNotify = false; + this._owner[this._setter](this); + }; + }, { + isSelected: function() { + return !!(this._owner._selection & 2); + }, + + setSelected: function(selected) { + var owner = this._owner; + if (owner._changeSelection) { + owner._changeSelection(2, selected); + } + } + }) + ); +}); + +var Matrix = Base.extend({ + _class: 'Matrix', + + initialize: function Matrix(arg, _dontNotify) { + var count = arguments.length, + ok = true; + if (count >= 6) { + this._set.apply(this, arguments); + } else if (count === 1 || count === 2) { + if (arg instanceof Matrix) { + this._set(arg._a, arg._b, arg._c, arg._d, arg._tx, arg._ty, + _dontNotify); + } else if (Array.isArray(arg)) { + this._set.apply(this, + _dontNotify ? arg.concat([_dontNotify]) : arg); + } else { + ok = false; + } + } else if (!count) { + this.reset(); + } else { + ok = false; + } + if (!ok) { + throw new Error('Unsupported matrix parameters'); + } + return this; + }, + + set: '#initialize', + + _set: function(a, b, c, d, tx, ty, _dontNotify) { + this._a = a; + this._b = b; + this._c = c; + this._d = d; + this._tx = tx; + this._ty = ty; + if (!_dontNotify) + this._changed(); + return this; + }, + + _serialize: function(options, dictionary) { + return Base.serialize(this.getValues(), options, true, dictionary); + }, + + _changed: function() { + var owner = this._owner; + if (owner) { + if (owner._applyMatrix) { + owner.transform(null, true); + } else { + owner._changed(25); + } + } + }, + + clone: function() { + return new Matrix(this._a, this._b, this._c, this._d, + this._tx, this._ty); + }, + + equals: function(mx) { + return mx === this || mx && this._a === mx._a && this._b === mx._b + && this._c === mx._c && this._d === mx._d + && this._tx === mx._tx && this._ty === mx._ty; + }, + + toString: function() { + var f = Formatter.instance; + return '[[' + [f.number(this._a), f.number(this._c), + f.number(this._tx)].join(', ') + '], [' + + [f.number(this._b), f.number(this._d), + f.number(this._ty)].join(', ') + ']]'; + }, + + reset: function(_dontNotify) { + this._a = this._d = 1; + this._b = this._c = this._tx = this._ty = 0; + if (!_dontNotify) + this._changed(); + return this; + }, + + apply: function(recursively, _setApplyMatrix) { + var owner = this._owner; + if (owner) { + owner.transform(null, true, Base.pick(recursively, true), + _setApplyMatrix); + return this.isIdentity(); + } + return false; + }, + + translate: function() { + var point = Point.read(arguments), + x = point.x, + y = point.y; + this._tx += x * this._a + y * this._c; + this._ty += x * this._b + y * this._d; + this._changed(); + return this; + }, + + scale: function() { + var scale = Point.read(arguments), + center = Point.read(arguments, 0, { readNull: true }); + if (center) + this.translate(center); + this._a *= scale.x; + this._b *= scale.x; + this._c *= scale.y; + this._d *= scale.y; + if (center) + this.translate(center.negate()); + this._changed(); + return this; + }, + + rotate: function(angle ) { + angle *= Math.PI / 180; + var center = Point.read(arguments, 1), + x = center.x, + y = center.y, + cos = Math.cos(angle), + sin = Math.sin(angle), + tx = x - x * cos + y * sin, + ty = y - x * sin - y * cos, + a = this._a, + b = this._b, + c = this._c, + d = this._d; + this._a = cos * a + sin * c; + this._b = cos * b + sin * d; + this._c = -sin * a + cos * c; + this._d = -sin * b + cos * d; + this._tx += tx * a + ty * c; + this._ty += tx * b + ty * d; + this._changed(); + return this; + }, + + shear: function() { + var shear = Point.read(arguments), + center = Point.read(arguments, 0, { readNull: true }); + if (center) + this.translate(center); + var a = this._a, + b = this._b; + this._a += shear.y * this._c; + this._b += shear.y * this._d; + this._c += shear.x * a; + this._d += shear.x * b; + if (center) + this.translate(center.negate()); + this._changed(); + return this; + }, + + skew: function() { + var skew = Point.read(arguments), + center = Point.read(arguments, 0, { readNull: true }), + toRadians = Math.PI / 180, + shear = new Point(Math.tan(skew.x * toRadians), + Math.tan(skew.y * toRadians)); + return this.shear(shear, center); + }, + + append: function(mx, _dontNotify) { + if (mx) { + var a1 = this._a, + b1 = this._b, + c1 = this._c, + d1 = this._d, + a2 = mx._a, + b2 = mx._c, + c2 = mx._b, + d2 = mx._d, + tx2 = mx._tx, + ty2 = mx._ty; + this._a = a2 * a1 + c2 * c1; + this._c = b2 * a1 + d2 * c1; + this._b = a2 * b1 + c2 * d1; + this._d = b2 * b1 + d2 * d1; + this._tx += tx2 * a1 + ty2 * c1; + this._ty += tx2 * b1 + ty2 * d1; + if (!_dontNotify) + this._changed(); + } + return this; + }, + + prepend: function(mx, _dontNotify) { + if (mx) { + var a1 = this._a, + b1 = this._b, + c1 = this._c, + d1 = this._d, + tx1 = this._tx, + ty1 = this._ty, + a2 = mx._a, + b2 = mx._c, + c2 = mx._b, + d2 = mx._d, + tx2 = mx._tx, + ty2 = mx._ty; + this._a = a2 * a1 + b2 * b1; + this._c = a2 * c1 + b2 * d1; + this._b = c2 * a1 + d2 * b1; + this._d = c2 * c1 + d2 * d1; + this._tx = a2 * tx1 + b2 * ty1 + tx2; + this._ty = c2 * tx1 + d2 * ty1 + ty2; + if (!_dontNotify) + this._changed(); + } + return this; + }, + + appended: function(mx) { + return this.clone().append(mx); + }, + + prepended: function(mx) { + return this.clone().prepend(mx); + }, + + invert: function() { + var a = this._a, + b = this._b, + c = this._c, + d = this._d, + tx = this._tx, + ty = this._ty, + det = a * d - b * c, + res = null; + if (det && !isNaN(det) && isFinite(tx) && isFinite(ty)) { + this._a = d / det; + this._b = -b / det; + this._c = -c / det; + this._d = a / det; + this._tx = (c * ty - d * tx) / det; + this._ty = (b * tx - a * ty) / det; + res = this; + } + return res; + }, + + inverted: function() { + return this.clone().invert(); + }, + + concatenate: '#append', + preConcatenate: '#prepend', + chain: '#appended', + + _shiftless: function() { + return new Matrix(this._a, this._b, this._c, this._d, 0, 0); + }, + + _orNullIfIdentity: function() { + return this.isIdentity() ? null : this; + }, + + isIdentity: function() { + return this._a === 1 && this._b === 0 && this._c === 0 && this._d === 1 + && this._tx === 0 && this._ty === 0; + }, + + isInvertible: function() { + var det = this._a * this._d - this._c * this._b; + return det && !isNaN(det) && isFinite(this._tx) && isFinite(this._ty); + }, + + isSingular: function() { + return !this.isInvertible(); + }, + + transform: function( src, dst, count) { + return arguments.length < 3 + ? this._transformPoint(Point.read(arguments)) + : this._transformCoordinates(src, dst, count); + }, + + _transformPoint: function(point, dest, _dontNotify) { + var x = point.x, + y = point.y; + if (!dest) + dest = new Point(); + return dest._set( + x * this._a + y * this._c + this._tx, + x * this._b + y * this._d + this._ty, + _dontNotify); + }, + + _transformCoordinates: function(src, dst, count) { + for (var i = 0, max = 2 * count; i < max; i += 2) { + var x = src[i], + y = src[i + 1]; + dst[i] = x * this._a + y * this._c + this._tx; + dst[i + 1] = x * this._b + y * this._d + this._ty; + } + return dst; + }, + + _transformCorners: function(rect) { + var x1 = rect.x, + y1 = rect.y, + x2 = x1 + rect.width, + y2 = y1 + rect.height, + coords = [ x1, y1, x2, y1, x2, y2, x1, y2 ]; + return this._transformCoordinates(coords, coords, 4); + }, + + _transformBounds: function(bounds, dest, _dontNotify) { + var coords = this._transformCorners(bounds), + min = coords.slice(0, 2), + max = min.slice(); + for (var i = 2; i < 8; i++) { + var val = coords[i], + j = i & 1; + if (val < min[j]) { + min[j] = val; + } else if (val > max[j]) { + max[j] = val; + } + } + if (!dest) + dest = new Rectangle(); + return dest._set(min[0], min[1], max[0] - min[0], max[1] - min[1], + _dontNotify); + }, + + inverseTransform: function() { + return this._inverseTransform(Point.read(arguments)); + }, + + _inverseTransform: function(point, dest, _dontNotify) { + var a = this._a, + b = this._b, + c = this._c, + d = this._d, + tx = this._tx, + ty = this._ty, + det = a * d - b * c, + res = null; + if (det && !isNaN(det) && isFinite(tx) && isFinite(ty)) { + var x = point.x - this._tx, + y = point.y - this._ty; + if (!dest) + dest = new Point(); + res = dest._set( + (x * d - y * c) / det, + (y * a - x * b) / det, + _dontNotify); + } + return res; + }, + + decompose: function() { + var a = this._a, + b = this._b, + c = this._c, + d = this._d, + det = a * d - b * c, + sqrt = Math.sqrt, + atan2 = Math.atan2, + degrees = 180 / Math.PI, + rotate, + scale, + skew; + if (a !== 0 || b !== 0) { + var r = sqrt(a * a + b * b); + rotate = Math.acos(a / r) * (b > 0 ? 1 : -1); + scale = [r, det / r]; + skew = [atan2(a * c + b * d, r * r), 0]; + } else if (c !== 0 || d !== 0) { + var s = sqrt(c * c + d * d); + rotate = Math.asin(c / s) * (d > 0 ? 1 : -1); + scale = [det / s, s]; + skew = [0, atan2(a * c + b * d, s * s)]; + } else { + rotate = 0; + skew = scale = [0, 0]; + } + return { + translation: this.getTranslation(), + rotation: rotate * degrees, + scaling: new Point(scale), + skewing: new Point(skew[0] * degrees, skew[1] * degrees) + }; + }, + + getValues: function() { + return [ this._a, this._b, this._c, this._d, this._tx, this._ty ]; + }, + + getTranslation: function() { + return new Point(this._tx, this._ty); + }, + + getScaling: function() { + return (this.decompose() || {}).scaling; + }, + + getRotation: function() { + return (this.decompose() || {}).rotation; + }, + + applyToContext: function(ctx) { + if (!this.isIdentity()) { + ctx.transform(this._a, this._b, this._c, this._d, + this._tx, this._ty); + } + } +}, Base.each(['a', 'b', 'c', 'd', 'tx', 'ty'], function(key) { + var part = Base.capitalize(key), + prop = '_' + key; + this['get' + part] = function() { + return this[prop]; + }; + this['set' + part] = function(value) { + this[prop] = value; + this._changed(); + }; +}, {})); + +var Line = Base.extend({ + _class: 'Line', + + initialize: function Line(arg0, arg1, arg2, arg3, arg4) { + var asVector = false; + if (arguments.length >= 4) { + this._px = arg0; + this._py = arg1; + this._vx = arg2; + this._vy = arg3; + asVector = arg4; + } else { + this._px = arg0.x; + this._py = arg0.y; + this._vx = arg1.x; + this._vy = arg1.y; + asVector = arg2; + } + if (!asVector) { + this._vx -= this._px; + this._vy -= this._py; + } + }, + + getPoint: function() { + return new Point(this._px, this._py); + }, + + getVector: function() { + return new Point(this._vx, this._vy); + }, + + getLength: function() { + return this.getVector().getLength(); + }, + + intersect: function(line, isInfinite) { + return Line.intersect( + this._px, this._py, this._vx, this._vy, + line._px, line._py, line._vx, line._vy, + true, isInfinite); + }, + + getSide: function(point, isInfinite) { + return Line.getSide( + this._px, this._py, this._vx, this._vy, + point.x, point.y, true, isInfinite); + }, + + getDistance: function(point) { + return Math.abs(this.getSignedDistance(point)); + }, + + getSignedDistance: function(point) { + return Line.getSignedDistance(this._px, this._py, this._vx, this._vy, + point.x, point.y, true); + }, + + isCollinear: function(line) { + return Point.isCollinear(this._vx, this._vy, line._vx, line._vy); + }, + + isOrthogonal: function(line) { + return Point.isOrthogonal(this._vx, this._vy, line._vx, line._vy); + }, + + statics: { + intersect: function(p1x, p1y, v1x, v1y, p2x, p2y, v2x, v2y, asVector, + isInfinite) { + if (!asVector) { + v1x -= p1x; + v1y -= p1y; + v2x -= p2x; + v2y -= p2y; + } + var cross = v1x * v2y - v1y * v2x; + if (!Numerical.isZero(cross)) { + var dx = p1x - p2x, + dy = p1y - p2y, + u1 = (v2x * dy - v2y * dx) / cross, + u2 = (v1x * dy - v1y * dx) / cross, + epsilon = 1e-12, + uMin = -epsilon, + uMax = 1 + epsilon; + if (isInfinite + || uMin < u1 && u1 < uMax && uMin < u2 && u2 < uMax) { + if (!isInfinite) { + u1 = u1 <= 0 ? 0 : u1 >= 1 ? 1 : u1; + } + return new Point( + p1x + u1 * v1x, + p1y + u1 * v1y); + } + } + }, + + getSide: function(px, py, vx, vy, x, y, asVector, isInfinite) { + if (!asVector) { + vx -= px; + vy -= py; + } + var v2x = x - px, + v2y = y - py, + ccw = v2x * vy - v2y * vx; + if (!isInfinite && Numerical.isZero(ccw)) { + ccw = (v2x * vx + v2x * vx) / (vx * vx + vy * vy); + if (ccw >= 0 && ccw <= 1) + ccw = 0; + } + return ccw < 0 ? -1 : ccw > 0 ? 1 : 0; + }, + + getSignedDistance: function(px, py, vx, vy, x, y, asVector) { + if (!asVector) { + vx -= px; + vy -= py; + } + return vx === 0 ? vy > 0 ? x - px : px - x + : vy === 0 ? vx < 0 ? y - py : py - y + : ((x-px) * vy - (y-py) * vx) / Math.sqrt(vx * vx + vy * vy); + }, + + getDistance: function(px, py, vx, vy, x, y, asVector) { + return Math.abs( + Line.getSignedDistance(px, py, vx, vy, x, y, asVector)); + } + } +}); + +var Project = PaperScopeItem.extend({ + _class: 'Project', + _list: 'projects', + _reference: 'project', + _compactSerialize: true, + + initialize: function Project(element) { + PaperScopeItem.call(this, true); + this._children = []; + this._namedChildren = {}; + this._activeLayer = null; + this._currentStyle = new Style(null, null, this); + this._view = View.create(this, + element || CanvasProvider.getCanvas(1, 1)); + this._selectionItems = {}; + this._selectionCount = 0; + this._updateVersion = 0; + }, + + _serialize: function(options, dictionary) { + return Base.serialize(this._children, options, true, dictionary); + }, + + _changed: function(flags, item) { + if (flags & 1) { + var view = this._view; + if (view) { + view._needsUpdate = true; + if (!view._requested && view._autoUpdate) + view.requestUpdate(); + } + } + var changes = this._changes; + if (changes && item) { + var changesById = this._changesById, + id = item._id, + entry = changesById[id]; + if (entry) { + entry.flags |= flags; + } else { + changes.push(changesById[id] = { item: item, flags: flags }); + } + } + }, + + clear: function() { + var children = this._children; + for (var i = children.length - 1; i >= 0; i--) + children[i].remove(); + }, + + isEmpty: function() { + return !this._children.length; + }, + + remove: function remove() { + if (!remove.base.call(this)) + return false; + if (this._view) + this._view.remove(); + return true; + }, + + getView: function() { + return this._view; + }, + + getCurrentStyle: function() { + return this._currentStyle; + }, + + setCurrentStyle: function(style) { + this._currentStyle.set(style); + }, + + getIndex: function() { + return this._index; + }, + + getOptions: function() { + return this._scope.settings; + }, + + getLayers: function() { + return this._children; + }, + + getActiveLayer: function() { + return this._activeLayer || new Layer({ project: this, insert: true }); + }, + + getSymbolDefinitions: function() { + var definitions = [], + ids = {}; + this.getItems({ + class: SymbolItem, + match: function(item) { + var definition = item._definition, + id = definition._id; + if (!ids[id]) { + ids[id] = true; + definitions.push(definition); + } + return false; + } + }); + return definitions; + }, + + getSymbols: 'getSymbolDefinitions', + + getSelectedItems: function() { + var selectionItems = this._selectionItems, + items = []; + for (var id in selectionItems) { + var item = selectionItems[id], + selection = item._selection; + if ((selection & 1) && item.isInserted()) { + items.push(item); + } else if (!selection) { + this._updateSelection(item); + } + } + return items; + }, + + _updateSelection: function(item) { + var id = item._id, + selectionItems = this._selectionItems; + if (item._selection) { + if (selectionItems[id] !== item) { + this._selectionCount++; + selectionItems[id] = item; + } + } else if (selectionItems[id] === item) { + this._selectionCount--; + delete selectionItems[id]; + } + }, + + selectAll: function() { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) + children[i].setFullySelected(true); + }, + + deselectAll: function() { + var selectionItems = this._selectionItems; + for (var i in selectionItems) + selectionItems[i].setFullySelected(false); + }, + + addLayer: function(layer) { + return this.insertLayer(undefined, layer); + }, + + insertLayer: function(index, layer) { + if (layer instanceof Layer) { + layer._remove(false, true); + Base.splice(this._children, [layer], index, 0); + layer._setProject(this, true); + var name = layer._name; + if (name) + layer.setName(name); + if (this._changes) + layer._changed(5); + if (!this._activeLayer) + this._activeLayer = layer; + } else { + layer = null; + } + return layer; + }, + + _insertItem: function(index, item, _created) { + item = this.insertLayer(index, item) + || (this._activeLayer || this._insertItem(undefined, + new Layer(Item.NO_INSERT), true)) + .insertChild(index, item); + if (_created && item.activate) + item.activate(); + return item; + }, + + getItems: function(options) { + return Item._getItems(this, options); + }, + + getItem: function(options) { + return Item._getItems(this, options, null, null, true)[0] || null; + }, + + importJSON: function(json) { + this.activate(); + var layer = this._activeLayer; + return Base.importJSON(json, layer && layer.isEmpty() && layer); + }, + + removeOn: function(type) { + var sets = this._removeSets; + if (sets) { + if (type === 'mouseup') + sets.mousedrag = null; + var set = sets[type]; + if (set) { + for (var id in set) { + var item = set[id]; + for (var key in sets) { + var other = sets[key]; + if (other && other != set) + delete other[item._id]; + } + item.remove(); + } + sets[type] = null; + } + } + }, + + draw: function(ctx, matrix, pixelRatio) { + this._updateVersion++; + ctx.save(); + matrix.applyToContext(ctx); + var children = this._children, + param = new Base({ + offset: new Point(0, 0), + pixelRatio: pixelRatio, + viewMatrix: matrix.isIdentity() ? null : matrix, + matrices: [new Matrix()], + updateMatrix: true + }); + for (var i = 0, l = children.length; i < l; i++) { + children[i].draw(ctx, param); + } + ctx.restore(); + + if (this._selectionCount > 0) { + ctx.save(); + ctx.strokeWidth = 1; + var items = this._selectionItems, + size = this._scope.settings.handleSize, + version = this._updateVersion; + for (var id in items) { + items[id]._drawSelection(ctx, matrix, size, items, version); + } + ctx.restore(); + } + } +}); + +var Item = Base.extend(Emitter, { + statics: { + extend: function extend(src) { + if (src._serializeFields) + src._serializeFields = Base.set({}, + this.prototype._serializeFields, src._serializeFields); + return extend.base.apply(this, arguments); + }, + + NO_INSERT: { insert: false } + }, + + _class: 'Item', + _name: null, + _applyMatrix: true, + _canApplyMatrix: true, + _canScaleStroke: false, + _pivot: null, + _visible: true, + _blendMode: 'normal', + _opacity: 1, + _locked: false, + _guide: false, + _clipMask: false, + _selection: 0, + _selectBounds: true, + _selectChildren: false, + _serializeFields: { + name: null, + applyMatrix: null, + matrix: new Matrix(), + pivot: null, + visible: true, + blendMode: 'normal', + opacity: 1, + locked: false, + guide: false, + clipMask: false, + selected: false, + data: {} + }, + _prioritize: ['applyMatrix'] +}, +new function() { + var handlers = ['onMouseDown', 'onMouseUp', 'onMouseDrag', 'onClick', + 'onDoubleClick', 'onMouseMove', 'onMouseEnter', 'onMouseLeave']; + return Base.each(handlers, + function(name) { + this._events[name] = { + install: function(type) { + this.getView()._countItemEvent(type, 1); + }, + + uninstall: function(type) { + this.getView()._countItemEvent(type, -1); + } + }; + }, { + _events: { + onFrame: { + install: function() { + this.getView()._animateItem(this, true); + }, + + uninstall: function() { + this.getView()._animateItem(this, false); + } + }, + + onLoad: {}, + onError: {} + }, + statics: { + _itemHandlers: handlers + } + } + ); +}, { + initialize: function Item() { + }, + + _initialize: function(props, point) { + var hasProps = props && Base.isPlainObject(props), + internal = hasProps && props.internal === true, + matrix = this._matrix = new Matrix(), + project = hasProps && props.project || paper.project, + settings = paper.settings; + this._id = internal ? null : UID.get(); + this._parent = this._index = null; + this._applyMatrix = this._canApplyMatrix && settings.applyMatrix; + if (point) + matrix.translate(point); + matrix._owner = this; + this._style = new Style(project._currentStyle, this, project); + if (internal || hasProps && props.insert == false + || !settings.insertItems && !(hasProps && props.insert === true)) { + this._setProject(project); + } else { + (hasProps && props.parent || project) + ._insertItem(undefined, this, true); + } + if (hasProps && props !== Item.NO_INSERT) { + this.set(props, { + internal: true, insert: true, project: true, parent: true + }); + } + return hasProps; + }, + + _serialize: function(options, dictionary) { + var props = {}, + that = this; + + function serialize(fields) { + for (var key in fields) { + var value = that[key]; + if (!Base.equals(value, key === 'leading' + ? fields.fontSize * 1.2 : fields[key])) { + props[key] = Base.serialize(value, options, + key !== 'data', dictionary); + } + } + } + + serialize(this._serializeFields); + if (!(this instanceof Group)) + serialize(this._style._defaults); + return [ this._class, props ]; + }, + + _changed: function(flags) { + var symbol = this._symbol, + cacheParent = this._parent || symbol, + project = this._project; + if (flags & 8) { + this._bounds = this._position = this._decomposed = undefined; + } + if (flags & 16) { + this._globalMatrix = undefined; + } + if (cacheParent + && (flags & 72)) { + Item._clearBoundsCache(cacheParent); + } + if (flags & 2) { + Item._clearBoundsCache(this); + } + if (project) + project._changed(flags, this); + if (symbol) + symbol._changed(flags); + }, + + getId: function() { + return this._id; + }, + + getName: function() { + return this._name; + }, + + setName: function(name) { + + if (this._name) + this._removeNamed(); + if (name === (+name) + '') + throw new Error( + 'Names consisting only of numbers are not supported.'); + var owner = this._getOwner(); + if (name && owner) { + var children = owner._children, + namedChildren = owner._namedChildren; + (namedChildren[name] = namedChildren[name] || []).push(this); + if (!(name in children)) + children[name] = this; + } + this._name = name || undefined; + this._changed(256); + }, + + getStyle: function() { + return this._style; + }, + + setStyle: function(style) { + this.getStyle().set(style); + } +}, Base.each(['locked', 'visible', 'blendMode', 'opacity', 'guide'], + function(name) { + var part = Base.capitalize(name), + key = '_' + name, + flags = { + locked: 256, + visible: 265 + }; + this['get' + part] = function() { + return this[key]; + }; + this['set' + part] = function(value) { + if (value != this[key]) { + this[key] = value; + this._changed(flags[name] || 257); + } + }; + }, +{}), { + beans: true, + + getSelection: function() { + return this._selection; + }, + + setSelection: function(selection) { + if (selection !== this._selection) { + this._selection = selection; + var project = this._project; + if (project) { + project._updateSelection(this); + this._changed(257); + } + } + }, + + _changeSelection: function(flag, selected) { + var selection = this._selection; + this.setSelection(selected ? selection | flag : selection & ~flag); + }, + + isSelected: function() { + if (this._selectChildren) { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) + if (children[i].isSelected()) + return true; + } + return !!(this._selection & 1); + }, + + setSelected: function(selected) { + if (this._selectChildren) { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) + children[i].setSelected(selected); + } + this._changeSelection(1, selected); + }, + + isFullySelected: function() { + var children = this._children, + selected = !!(this._selection & 1); + if (children && selected) { + for (var i = 0, l = children.length; i < l; i++) + if (!children[i].isFullySelected()) + return false; + return true; + } + return selected; + }, + + setFullySelected: function(selected) { + var children = this._children; + if (children) { + for (var i = 0, l = children.length; i < l; i++) + children[i].setFullySelected(selected); + } + this._changeSelection(1, selected); + }, + + isClipMask: function() { + return this._clipMask; + }, + + setClipMask: function(clipMask) { + if (this._clipMask != (clipMask = !!clipMask)) { + this._clipMask = clipMask; + if (clipMask) { + this.setFillColor(null); + this.setStrokeColor(null); + } + this._changed(257); + if (this._parent) + this._parent._changed(2048); + } + }, + + getData: function() { + if (!this._data) + this._data = {}; + return this._data; + }, + + setData: function(data) { + this._data = data; + }, + + getPosition: function(_dontLink) { + var ctor = _dontLink ? Point : LinkedPoint; + var position = this._position || + (this._position = this._getPositionFromBounds()); + return new ctor(position.x, position.y, this, 'setPosition'); + }, + + setPosition: function() { + this.translate(Point.read(arguments).subtract(this.getPosition(true))); + }, + + _getPositionFromBounds: function(bounds) { + return this._pivot + ? this._matrix._transformPoint(this._pivot) + : (bounds || this.getBounds()).getCenter(true); + }, + + getPivot: function() { + var pivot = this._pivot; + return pivot + ? new LinkedPoint(pivot.x, pivot.y, this, 'setPivot') + : null; + }, + + setPivot: function() { + this._pivot = Point.read(arguments, 0, { clone: true, readNull: true }); + this._position = undefined; + } +}, Base.each({ + getStrokeBounds: { stroke: true }, + getHandleBounds: { handle: true }, + getInternalBounds: { internal: true } + }, + function(options, key) { + this[key] = function(matrix) { + return this.getBounds(matrix, options); + }; + }, +{ + beans: true, + + getBounds: function(matrix, options) { + var hasMatrix = options || matrix instanceof Matrix, + opts = Base.set({}, hasMatrix ? options : matrix, + this._boundsOptions); + if (!opts.stroke || this.getStrokeScaling()) + opts.cacheItem = this; + var rect = this._getCachedBounds(hasMatrix && matrix, opts).rect; + return !arguments.length + ? new LinkedRectangle(rect.x, rect.y, rect.width, rect.height, + this, 'setBounds') + : rect; + }, + + setBounds: function() { + var rect = Rectangle.read(arguments), + bounds = this.getBounds(), + _matrix = this._matrix, + matrix = new Matrix(), + center = rect.getCenter(); + matrix.translate(center); + if (rect.width != bounds.width || rect.height != bounds.height) { + if (!_matrix.isInvertible()) { + _matrix.set(_matrix._backup + || new Matrix().translate(_matrix.getTranslation())); + bounds = this.getBounds(); + } + matrix.scale( + bounds.width !== 0 ? rect.width / bounds.width : 0, + bounds.height !== 0 ? rect.height / bounds.height : 0); + } + center = bounds.getCenter(); + matrix.translate(-center.x, -center.y); + this.transform(matrix); + }, + + _getBounds: function(matrix, options) { + var children = this._children; + if (!children || !children.length) + return new Rectangle(); + Item._updateBoundsCache(this, options.cacheItem); + return Item._getBounds(children, matrix, options); + }, + + _getBoundsCacheKey: function(options, internal) { + return [ + options.stroke ? 1 : 0, + options.handle ? 1 : 0, + internal ? 1 : 0 + ].join(''); + }, + + _getCachedBounds: function(matrix, options, noInternal) { + matrix = matrix && matrix._orNullIfIdentity(); + var internal = options.internal && !noInternal, + cacheItem = options.cacheItem, + _matrix = internal ? null : this._matrix._orNullIfIdentity(), + cacheKey = cacheItem && (!matrix || matrix.equals(_matrix)) + && this._getBoundsCacheKey(options, internal), + bounds = this._bounds; + Item._updateBoundsCache(this._parent || this._symbol, cacheItem); + if (cacheKey && bounds && cacheKey in bounds) { + var cached = bounds[cacheKey]; + return { + rect: cached.rect.clone(), + nonscaling: cached.nonscaling + }; + } + var res = this._getBounds(matrix || _matrix, options), + rect = res.rect || res, + style = this._style, + nonscaling = res.nonscaling || style.hasStroke() + && !style.getStrokeScaling(); + if (cacheKey) { + if (!bounds) { + this._bounds = bounds = {}; + } + var cached = bounds[cacheKey] = { + rect: rect.clone(), + nonscaling: nonscaling, + internal: internal + }; + } + return { + rect: rect, + nonscaling: nonscaling + }; + }, + + _getStrokeMatrix: function(matrix, options) { + var parent = this.getStrokeScaling() ? null + : options && options.internal ? this + : this._parent || this._symbol && this._symbol._item, + mx = parent ? parent.getViewMatrix().invert() : matrix; + return mx && mx._shiftless(); + }, + + statics: { + _updateBoundsCache: function(parent, item) { + if (parent && item) { + var id = item._id, + ref = parent._boundsCache = parent._boundsCache || { + ids: {}, + list: [] + }; + if (!ref.ids[id]) { + ref.list.push(item); + ref.ids[id] = item; + } + } + }, + + _clearBoundsCache: function(item) { + var cache = item._boundsCache; + if (cache) { + item._bounds = item._position = item._boundsCache = undefined; + for (var i = 0, list = cache.list, l = list.length; i < l; i++){ + var other = list[i]; + if (other !== item) { + other._bounds = other._position = undefined; + if (other._boundsCache) + Item._clearBoundsCache(other); + } + } + } + }, + + _getBounds: function(items, matrix, options) { + var x1 = Infinity, + x2 = -x1, + y1 = x1, + y2 = x2, + nonscaling = false; + options = options || {}; + for (var i = 0, l = items.length; i < l; i++) { + var item = items[i]; + if (item._visible && !item.isEmpty()) { + var bounds = item._getCachedBounds( + matrix && matrix.appended(item._matrix), options, true), + rect = bounds.rect; + x1 = Math.min(rect.x, x1); + y1 = Math.min(rect.y, y1); + x2 = Math.max(rect.x + rect.width, x2); + y2 = Math.max(rect.y + rect.height, y2); + if (bounds.nonscaling) + nonscaling = true; + } + } + return { + rect: isFinite(x1) + ? new Rectangle(x1, y1, x2 - x1, y2 - y1) + : new Rectangle(), + nonscaling: nonscaling + }; + } + } + +}), { + beans: true, + + _decompose: function() { + return this._applyMatrix + ? null + : this._decomposed || (this._decomposed = this._matrix.decompose()); + }, + + getRotation: function() { + var decomposed = this._decompose(); + return decomposed ? decomposed.rotation : 0; + }, + + setRotation: function(rotation) { + var current = this.getRotation(); + if (current != null && rotation != null) { + var decomposed = this._decomposed; + this.rotate(rotation - current); + if (decomposed) { + decomposed.rotation = rotation; + this._decomposed = decomposed; + } + } + }, + + getScaling: function() { + var decomposed = this._decompose(), + s = decomposed && decomposed.scaling; + return new LinkedPoint(s ? s.x : 1, s ? s.y : 1, this, 'setScaling'); + }, + + setScaling: function() { + var current = this.getScaling(), + scaling = Point.read(arguments, 0, { clone: true, readNull: true }); + if (current && scaling && !current.equals(scaling)) { + var rotation = this.getRotation(), + decomposed = this._decomposed, + matrix = new Matrix(), + center = this.getPosition(true); + matrix.translate(center); + if (rotation) + matrix.rotate(rotation); + matrix.scale(scaling.x / current.x, scaling.y / current.y); + if (rotation) + matrix.rotate(-rotation); + matrix.translate(center.negate()); + this.transform(matrix); + if (decomposed) { + decomposed.scaling = scaling; + this._decomposed = decomposed; + } + } + }, + + getMatrix: function() { + return this._matrix; + }, + + setMatrix: function() { + var matrix = this._matrix; + matrix.initialize.apply(matrix, arguments); + }, + + getGlobalMatrix: function(_dontClone) { + var matrix = this._globalMatrix; + if (matrix) { + var parent = this._parent; + var parents = []; + while (parent) { + if (!parent._globalMatrix) { + matrix = null; + for (var i = 0, l = parents.length; i < l; i++) { + parents[i]._globalMatrix = null; + } + break; + } + parents.push(parent); + parent = parent._parent; + } + } + if (!matrix) { + matrix = this._globalMatrix = this._matrix.clone(); + var parent = this._parent; + if (parent) + matrix.prepend(parent.getGlobalMatrix(true)); + } + return _dontClone ? matrix : matrix.clone(); + }, + + getViewMatrix: function() { + return this.getGlobalMatrix().prepend(this.getView()._matrix); + }, + + getApplyMatrix: function() { + return this._applyMatrix; + }, + + setApplyMatrix: function(apply) { + if (this._applyMatrix = this._canApplyMatrix && !!apply) + this.transform(null, true); + }, + + getTransformContent: '#getApplyMatrix', + setTransformContent: '#setApplyMatrix', +}, { + getProject: function() { + return this._project; + }, + + _setProject: function(project, installEvents) { + if (this._project !== project) { + if (this._project) + this._installEvents(false); + this._project = project; + var children = this._children; + for (var i = 0, l = children && children.length; i < l; i++) + children[i]._setProject(project); + installEvents = true; + } + if (installEvents) + this._installEvents(true); + }, + + getView: function() { + return this._project._view; + }, + + _installEvents: function _installEvents(install) { + _installEvents.base.call(this, install); + var children = this._children; + for (var i = 0, l = children && children.length; i < l; i++) + children[i]._installEvents(install); + }, + + getLayer: function() { + var parent = this; + while (parent = parent._parent) { + if (parent instanceof Layer) + return parent; + } + return null; + }, + + getParent: function() { + return this._parent; + }, + + setParent: function(item) { + return item.addChild(this); + }, + + _getOwner: '#getParent', + + getChildren: function() { + return this._children; + }, + + setChildren: function(items) { + this.removeChildren(); + this.addChildren(items); + }, + + getFirstChild: function() { + return this._children && this._children[0] || null; + }, + + getLastChild: function() { + return this._children && this._children[this._children.length - 1] + || null; + }, + + getNextSibling: function() { + var owner = this._getOwner(); + return owner && owner._children[this._index + 1] || null; + }, + + getPreviousSibling: function() { + var owner = this._getOwner(); + return owner && owner._children[this._index - 1] || null; + }, + + getIndex: function() { + return this._index; + }, + + equals: function(item) { + return item === this || item && this._class === item._class + && this._style.equals(item._style) + && this._matrix.equals(item._matrix) + && this._locked === item._locked + && this._visible === item._visible + && this._blendMode === item._blendMode + && this._opacity === item._opacity + && this._clipMask === item._clipMask + && this._guide === item._guide + && this._equals(item) + || false; + }, + + _equals: function(item) { + return Base.equals(this._children, item._children); + }, + + clone: function(options) { + var copy = new this.constructor(Item.NO_INSERT), + children = this._children, + insert = Base.pick(options ? options.insert : undefined, + options === undefined || options === true), + deep = Base.pick(options ? options.deep : undefined, true); + if (children) + copy.copyAttributes(this); + if (!children || deep) + copy.copyContent(this); + if (!children) + copy.copyAttributes(this); + if (insert) + copy.insertAbove(this); + var name = this._name, + parent = this._parent; + if (name && parent) { + var children = parent._children, + orig = name, + i = 1; + while (children[name]) + name = orig + ' ' + (i++); + if (name !== orig) + copy.setName(name); + } + return copy; + }, + + copyContent: function(source) { + var children = source._children; + for (var i = 0, l = children && children.length; i < l; i++) { + this.addChild(children[i].clone(false), true); + } + }, + + copyAttributes: function(source, excludeMatrix) { + this.setStyle(source._style); + var keys = ['_locked', '_visible', '_blendMode', '_opacity', + '_clipMask', '_guide']; + for (var i = 0, l = keys.length; i < l; i++) { + var key = keys[i]; + if (source.hasOwnProperty(key)) + this[key] = source[key]; + } + if (!excludeMatrix) + this._matrix.set(source._matrix, true); + this.setApplyMatrix(source._applyMatrix); + this.setPivot(source._pivot); + this.setSelection(source._selection); + var data = source._data, + name = source._name; + this._data = data ? Base.clone(data) : null; + if (name) + this.setName(name); + }, + + rasterize: function(resolution, insert) { + var bounds = this.getStrokeBounds(), + scale = (resolution || this.getView().getResolution()) / 72, + topLeft = bounds.getTopLeft().floor(), + bottomRight = bounds.getBottomRight().ceil(), + size = new Size(bottomRight.subtract(topLeft)), + raster = new Raster(Item.NO_INSERT); + if (!size.isZero()) { + var canvas = CanvasProvider.getCanvas(size.multiply(scale)), + ctx = canvas.getContext('2d'), + matrix = new Matrix().scale(scale).translate(topLeft.negate()); + ctx.save(); + matrix.applyToContext(ctx); + this.draw(ctx, new Base({ matrices: [matrix] })); + ctx.restore(); + raster.setCanvas(canvas); + } + raster.transform(new Matrix().translate(topLeft.add(size.divide(2))) + .scale(1 / scale)); + if (insert === undefined || insert) + raster.insertAbove(this); + return raster; + }, + + contains: function() { + return !!this._contains( + this._matrix._inverseTransform(Point.read(arguments))); + }, + + _contains: function(point) { + var children = this._children; + if (children) { + for (var i = children.length - 1; i >= 0; i--) { + if (children[i].contains(point)) + return true; + } + return false; + } + return point.isInside(this.getInternalBounds()); + }, + + isInside: function() { + return Rectangle.read(arguments).contains(this.getBounds()); + }, + + _asPathItem: function() { + return new Path.Rectangle({ + rectangle: this.getInternalBounds(), + matrix: this._matrix, + insert: false, + }); + }, + + intersects: function(item, _matrix) { + if (!(item instanceof Item)) + return false; + return this._asPathItem().getIntersections(item._asPathItem(), null, + _matrix, true).length > 0; + } +}, +new function() { + function hitTest() { + return this._hitTest( + Point.read(arguments), + HitResult.getOptions(arguments)); + } + + function hitTestAll() { + var point = Point.read(arguments), + options = HitResult.getOptions(arguments), + all = []; + this._hitTest(point, Base.set({ all: all }, options)); + return all; + } + + function hitTestChildren(point, options, viewMatrix, _exclude) { + var children = this._children; + if (children) { + for (var i = children.length - 1; i >= 0; i--) { + var child = children[i]; + var res = child !== _exclude && child._hitTest(point, options, + viewMatrix); + if (res && !options.all) + return res; + } + } + return null; + } + + Project.inject({ + hitTest: hitTest, + hitTestAll: hitTestAll, + _hitTest: hitTestChildren + }); + + return { + hitTest: hitTest, + hitTestAll: hitTestAll, + _hitTestChildren: hitTestChildren, + }; +}, { + + _hitTest: function(point, options, parentViewMatrix) { + if (this._locked || !this._visible || this._guide && !options.guides + || this.isEmpty()) { + return null; + } + + var matrix = this._matrix, + viewMatrix = parentViewMatrix + ? parentViewMatrix.appended(matrix) + : this.getGlobalMatrix().prepend(this.getView()._matrix), + tolerance = Math.max(options.tolerance, 1e-12), + tolerancePadding = options._tolerancePadding = new Size( + Path._getStrokePadding(tolerance, + matrix._shiftless().invert())); + point = matrix._inverseTransform(point); + if (!point || !this._children && + !this.getBounds({ internal: true, stroke: true, handle: true }) + .expand(tolerancePadding.multiply(2))._containsPoint(point)) { + return null; + } + + var checkSelf = !(options.guides && !this._guide + || options.selected && !this.isSelected() + || options.type && options.type !== Base.hyphenate(this._class) + || options.class && !(this instanceof options.class)), + match = options.match, + that = this, + bounds, + res; + + function filter(hit) { + if (hit && match && !match(hit)) + hit = null; + if (hit && options.all) + options.all.push(hit); + return hit; + } + + function checkPoint(type, part) { + var pt = part ? bounds['get' + part]() : that.getPosition(); + if (point.subtract(pt).divide(tolerancePadding).length <= 1) { + return new HitResult(type, that, { + name: part ? Base.hyphenate(part) : type, + point: pt + }); + } + } + + var checkPosition = options.position, + checkCenter = options.center, + checkBounds = options.bounds; + if (checkSelf && this._parent + && (checkPosition || checkCenter || checkBounds)) { + if (checkCenter || checkBounds) { + bounds = this.getInternalBounds(); + } + res = checkPosition && checkPoint('position') || + checkCenter && checkPoint('center', 'Center'); + if (!res && checkBounds) { + var points = [ + 'TopLeft', 'TopRight', 'BottomLeft', 'BottomRight', + 'LeftCenter', 'TopCenter', 'RightCenter', 'BottomCenter' + ]; + for (var i = 0; i < 8 && !res; i++) { + res = checkPoint('bounds', points[i]); + } + } + res = filter(res); + } + + if (!res) { + res = this._hitTestChildren(point, options, viewMatrix) + || checkSelf + && filter(this._hitTestSelf(point, options, viewMatrix, + this.getStrokeScaling() ? null + : viewMatrix._shiftless().invert())) + || null; + } + if (res && res.point) { + res.point = matrix.transform(res.point); + } + return res; + }, + + _hitTestSelf: function(point, options) { + if (options.fill && this.hasFill() && this._contains(point)) + return new HitResult('fill', this); + }, + + matches: function(name, compare) { + function matchObject(obj1, obj2) { + for (var i in obj1) { + if (obj1.hasOwnProperty(i)) { + var val1 = obj1[i], + val2 = obj2[i]; + if (Base.isPlainObject(val1) && Base.isPlainObject(val2)) { + if (!matchObject(val1, val2)) + return false; + } else if (!Base.equals(val1, val2)) { + return false; + } + } + } + return true; + } + var type = typeof name; + if (type === 'object') { + for (var key in name) { + if (name.hasOwnProperty(key) && !this.matches(key, name[key])) + return false; + } + return true; + } else if (type === 'function') { + return name(this); + } else if (name === 'match') { + return compare(this); + } else { + var value = /^(empty|editable)$/.test(name) + ? this['is' + Base.capitalize(name)]() + : name === 'type' + ? Base.hyphenate(this._class) + : this[name]; + if (name === 'class') { + if (typeof compare === 'function') + return this instanceof compare; + value = this._class; + } + if (typeof compare === 'function') { + return !!compare(value); + } else if (compare) { + if (compare.test) { + return compare.test(value); + } else if (Base.isPlainObject(compare)) { + return matchObject(compare, value); + } + } + return Base.equals(value, compare); + } + }, + + getItems: function(options) { + return Item._getItems(this, options, this._matrix); + }, + + getItem: function(options) { + return Item._getItems(this, options, this._matrix, null, true)[0] + || null; + }, + + statics: { + _getItems: function _getItems(item, options, matrix, param, firstOnly) { + if (!param) { + var obj = typeof options === 'object' && options, + overlapping = obj && obj.overlapping, + inside = obj && obj.inside, + bounds = overlapping || inside, + rect = bounds && Rectangle.read([bounds]); + param = { + items: [], + recursive: obj && obj.recursive !== false, + inside: !!inside, + overlapping: !!overlapping, + rect: rect, + path: overlapping && new Path.Rectangle({ + rectangle: rect, + insert: false + }) + }; + if (obj) { + options = Base.filter({}, options, { + recursive: true, inside: true, overlapping: true + }); + } + } + var children = item._children, + items = param.items, + rect = param.rect; + matrix = rect && (matrix || new Matrix()); + for (var i = 0, l = children && children.length; i < l; i++) { + var child = children[i], + childMatrix = matrix && matrix.appended(child._matrix), + add = true; + if (rect) { + var bounds = child.getBounds(childMatrix); + if (!rect.intersects(bounds)) + continue; + if (!(rect.contains(bounds) + || param.overlapping && (bounds.contains(rect) + || param.path.intersects(child, childMatrix)))) + add = false; + } + if (add && child.matches(options)) { + items.push(child); + if (firstOnly) + break; + } + if (param.recursive !== false) { + _getItems(child, options, childMatrix, param, firstOnly); + } + if (firstOnly && items.length > 0) + break; + } + return items; + } + } +}, { + + importJSON: function(json) { + var res = Base.importJSON(json, this); + return res !== this ? this.addChild(res) : res; + }, + + addChild: function(item) { + return this.insertChild(undefined, item); + }, + + insertChild: function(index, item) { + var res = item ? this.insertChildren(index, [item]) : null; + return res && res[0]; + }, + + addChildren: function(items) { + return this.insertChildren(this._children.length, items); + }, + + insertChildren: function(index, items) { + var children = this._children; + if (children && items && items.length > 0) { + items = Base.slice(items); + var inserted = {}; + for (var i = items.length - 1; i >= 0; i--) { + var item = items[i], + id = item && item._id; + if (!item || inserted[id]) { + items.splice(i, 1); + } else { + item._remove(false, true); + inserted[id] = true; + } + } + Base.splice(children, items, index, 0); + var project = this._project, + notifySelf = project._changes; + for (var i = 0, l = items.length; i < l; i++) { + var item = items[i], + name = item._name; + item._parent = this; + item._setProject(project, true); + if (name) + item.setName(name); + if (notifySelf) + item._changed(5); + } + this._changed(11); + } else { + items = null; + } + return items; + }, + + _insertItem: '#insertChild', + + _insertAt: function(item, offset) { + var owner = item && item._getOwner(), + res = item !== this && owner ? this : null; + if (res) { + res._remove(false, true); + owner._insertItem(item._index + offset, res); + } + return res; + }, + + insertAbove: function(item) { + return this._insertAt(item, 1); + }, + + insertBelow: function(item) { + return this._insertAt(item, 0); + }, + + sendToBack: function() { + var owner = this._getOwner(); + return owner ? owner._insertItem(0, this) : null; + }, + + bringToFront: function() { + var owner = this._getOwner(); + return owner ? owner._insertItem(undefined, this) : null; + }, + + appendTop: '#addChild', + + appendBottom: function(item) { + return this.insertChild(0, item); + }, + + moveAbove: '#insertAbove', + + moveBelow: '#insertBelow', + + addTo: function(owner) { + return owner._insertItem(undefined, this); + }, + + copyTo: function(owner) { + return this.clone(false).addTo(owner); + }, + + reduce: function(options) { + var children = this._children; + if (children && children.length === 1) { + var child = children[0].reduce(options); + if (this._parent) { + child.insertAbove(this); + this.remove(); + } else { + child.remove(); + } + return child; + } + return this; + }, + + _removeNamed: function() { + var owner = this._getOwner(); + if (owner) { + var children = owner._children, + namedChildren = owner._namedChildren, + name = this._name, + namedArray = namedChildren[name], + index = namedArray ? namedArray.indexOf(this) : -1; + if (index !== -1) { + if (children[name] == this) + delete children[name]; + namedArray.splice(index, 1); + if (namedArray.length) { + children[name] = namedArray[0]; + } else { + delete namedChildren[name]; + } + } + } + }, + + _remove: function(notifySelf, notifyParent) { + var owner = this._getOwner(), + project = this._project, + index = this._index; + if (this._style) + this._style._dispose(); + if (owner) { + if (this._name) + this._removeNamed(); + if (index != null) { + if (project._activeLayer === this) + project._activeLayer = this.getNextSibling() + || this.getPreviousSibling(); + Base.splice(owner._children, null, index, 1); + } + this._installEvents(false); + if (notifySelf && project._changes) + this._changed(5); + if (notifyParent) + owner._changed(11, this); + this._parent = null; + return true; + } + return false; + }, + + remove: function() { + return this._remove(true, true); + }, + + replaceWith: function(item) { + var ok = item && item.insertBelow(this); + if (ok) + this.remove(); + return ok; + }, + + removeChildren: function(start, end) { + if (!this._children) + return null; + start = start || 0; + end = Base.pick(end, this._children.length); + var removed = Base.splice(this._children, null, start, end - start); + for (var i = removed.length - 1; i >= 0; i--) { + removed[i]._remove(true, false); + } + if (removed.length > 0) + this._changed(11); + return removed; + }, + + clear: '#removeChildren', + + reverseChildren: function() { + if (this._children) { + this._children.reverse(); + for (var i = 0, l = this._children.length; i < l; i++) + this._children[i]._index = i; + this._changed(11); + } + }, + + isEmpty: function() { + var children = this._children; + return !children || !children.length; + }, + + isEditable: function() { + var item = this; + while (item) { + if (!item._visible || item._locked) + return false; + item = item._parent; + } + return true; + }, + + hasFill: function() { + return this.getStyle().hasFill(); + }, + + hasStroke: function() { + return this.getStyle().hasStroke(); + }, + + hasShadow: function() { + return this.getStyle().hasShadow(); + }, + + _getOrder: function(item) { + function getList(item) { + var list = []; + do { + list.unshift(item); + } while (item = item._parent); + return list; + } + var list1 = getList(this), + list2 = getList(item); + for (var i = 0, l = Math.min(list1.length, list2.length); i < l; i++) { + if (list1[i] != list2[i]) { + return list1[i]._index < list2[i]._index ? 1 : -1; + } + } + return 0; + }, + + hasChildren: function() { + return this._children && this._children.length > 0; + }, + + isInserted: function() { + return this._parent ? this._parent.isInserted() : false; + }, + + isAbove: function(item) { + return this._getOrder(item) === -1; + }, + + isBelow: function(item) { + return this._getOrder(item) === 1; + }, + + isParent: function(item) { + return this._parent === item; + }, + + isChild: function(item) { + return item && item._parent === this; + }, + + isDescendant: function(item) { + var parent = this; + while (parent = parent._parent) { + if (parent === item) + return true; + } + return false; + }, + + isAncestor: function(item) { + return item ? item.isDescendant(this) : false; + }, + + isSibling: function(item) { + return this._parent === item._parent; + }, + + isGroupedWith: function(item) { + var parent = this._parent; + while (parent) { + if (parent._parent + && /^(Group|Layer|CompoundPath)$/.test(parent._class) + && item.isDescendant(parent)) + return true; + parent = parent._parent; + } + return false; + }, + +}, Base.each(['rotate', 'scale', 'shear', 'skew'], function(key) { + var rotate = key === 'rotate'; + this[key] = function() { + var value = (rotate ? Base : Point).read(arguments), + center = Point.read(arguments, 0, { readNull: true }); + return this.transform(new Matrix()[key](value, + center || this.getPosition(true))); + }; +}, { + translate: function() { + var mx = new Matrix(); + return this.transform(mx.translate.apply(mx, arguments)); + }, + + transform: function(matrix, _applyMatrix, _applyRecursively, + _setApplyMatrix) { + var _matrix = this._matrix, + transformMatrix = matrix && !matrix.isIdentity(), + applyMatrix = (_applyMatrix || this._applyMatrix) + && ((!_matrix.isIdentity() || transformMatrix) + || _applyMatrix && _applyRecursively && this._children); + if (!transformMatrix && !applyMatrix) + return this; + if (transformMatrix) { + if (!matrix.isInvertible() && _matrix.isInvertible()) + _matrix._backup = _matrix.getValues(); + _matrix.prepend(matrix, true); + var style = this._style, + fillColor = style.getFillColor(true), + strokeColor = style.getStrokeColor(true); + if (fillColor) + fillColor.transform(matrix); + if (strokeColor) + strokeColor.transform(matrix); + } + if (applyMatrix && (applyMatrix = this._transformContent(_matrix, + _applyRecursively, _setApplyMatrix))) { + var pivot = this._pivot; + if (pivot) + _matrix._transformPoint(pivot, pivot, true); + _matrix.reset(true); + if (_setApplyMatrix && this._canApplyMatrix) + this._applyMatrix = true; + } + var bounds = this._bounds, + position = this._position; + if (transformMatrix || applyMatrix) { + this._changed(25); + } + var decomp = transformMatrix && bounds && matrix.decompose(); + if (decomp && decomp.skewing.isZero() && decomp.rotation % 90 === 0) { + for (var key in bounds) { + var cache = bounds[key]; + if (cache.nonscaling) { + delete bounds[key]; + } else if (applyMatrix || !cache.internal) { + var rect = cache.rect; + matrix._transformBounds(rect, rect); + } + } + this._bounds = bounds; + var cached = bounds[this._getBoundsCacheKey( + this._boundsOptions || {})]; + if (cached) { + this._position = this._getPositionFromBounds(cached.rect); + } + } else if (transformMatrix && position && this._pivot) { + this._position = matrix._transformPoint(position, position); + } + return this; + }, + + _transformContent: function(matrix, applyRecursively, setApplyMatrix) { + var children = this._children; + if (children) { + for (var i = 0, l = children.length; i < l; i++) + children[i].transform(matrix, true, applyRecursively, + setApplyMatrix); + return true; + } + }, + + globalToLocal: function() { + return this.getGlobalMatrix(true)._inverseTransform( + Point.read(arguments)); + }, + + localToGlobal: function() { + return this.getGlobalMatrix(true)._transformPoint( + Point.read(arguments)); + }, + + parentToLocal: function() { + return this._matrix._inverseTransform(Point.read(arguments)); + }, + + localToParent: function() { + return this._matrix._transformPoint(Point.read(arguments)); + }, + + fitBounds: function(rectangle, fill) { + rectangle = Rectangle.read(arguments); + var bounds = this.getBounds(), + itemRatio = bounds.height / bounds.width, + rectRatio = rectangle.height / rectangle.width, + scale = (fill ? itemRatio > rectRatio : itemRatio < rectRatio) + ? rectangle.width / bounds.width + : rectangle.height / bounds.height, + newBounds = new Rectangle(new Point(), + new Size(bounds.width * scale, bounds.height * scale)); + newBounds.setCenter(rectangle.getCenter()); + this.setBounds(newBounds); + } +}), { + + _setStyles: function(ctx, param, viewMatrix) { + var style = this._style, + matrix = this._matrix; + if (style.hasFill()) { + ctx.fillStyle = style.getFillColor().toCanvasStyle(ctx, matrix); + } + if (style.hasStroke()) { + ctx.strokeStyle = style.getStrokeColor().toCanvasStyle(ctx, matrix); + ctx.lineWidth = style.getStrokeWidth(); + var strokeJoin = style.getStrokeJoin(), + strokeCap = style.getStrokeCap(), + miterLimit = style.getMiterLimit(); + if (strokeJoin) + ctx.lineJoin = strokeJoin; + if (strokeCap) + ctx.lineCap = strokeCap; + if (miterLimit) + ctx.miterLimit = miterLimit; + if (paper.support.nativeDash) { + var dashArray = style.getDashArray(), + dashOffset = style.getDashOffset(); + if (dashArray && dashArray.length) { + if ('setLineDash' in ctx) { + ctx.setLineDash(dashArray); + ctx.lineDashOffset = dashOffset; + } else { + ctx.mozDash = dashArray; + ctx.mozDashOffset = dashOffset; + } + } + } + } + if (style.hasShadow()) { + var pixelRatio = param.pixelRatio || 1, + mx = viewMatrix._shiftless().prepend( + new Matrix().scale(pixelRatio, pixelRatio)), + blur = mx.transform(new Point(style.getShadowBlur(), 0)), + offset = mx.transform(this.getShadowOffset()); + ctx.shadowColor = style.getShadowColor().toCanvasStyle(ctx); + ctx.shadowBlur = blur.getLength(); + ctx.shadowOffsetX = offset.x; + ctx.shadowOffsetY = offset.y; + } + }, + + draw: function(ctx, param, parentStrokeMatrix) { + var updateVersion = this._updateVersion = this._project._updateVersion; + if (!this._visible || this._opacity === 0) + return; + var matrices = param.matrices, + viewMatrix = param.viewMatrix, + matrix = this._matrix, + globalMatrix = matrices[matrices.length - 1].appended(matrix); + if (!globalMatrix.isInvertible()) + return; + + viewMatrix = viewMatrix ? viewMatrix.appended(globalMatrix) + : globalMatrix; + + matrices.push(globalMatrix); + if (param.updateMatrix) { + this._globalMatrix = globalMatrix; + } + + var blendMode = this._blendMode, + opacity = this._opacity, + normalBlend = blendMode === 'normal', + nativeBlend = BlendMode.nativeModes[blendMode], + direct = normalBlend && opacity === 1 + || param.dontStart + || param.clip + || (nativeBlend || normalBlend && opacity < 1) + && this._canComposite(), + pixelRatio = param.pixelRatio || 1, + mainCtx, itemOffset, prevOffset; + if (!direct) { + var bounds = this.getStrokeBounds(viewMatrix); + if (!bounds.width || !bounds.height) { + matrices.pop(); + return; + } + prevOffset = param.offset; + itemOffset = param.offset = bounds.getTopLeft().floor(); + mainCtx = ctx; + ctx = CanvasProvider.getContext(bounds.getSize().ceil().add(1) + .multiply(pixelRatio)); + if (pixelRatio !== 1) + ctx.scale(pixelRatio, pixelRatio); + } + ctx.save(); + var strokeMatrix = parentStrokeMatrix + ? parentStrokeMatrix.appended(matrix) + : this._canScaleStroke && !this.getStrokeScaling(true) + && viewMatrix, + clip = !direct && param.clipItem, + transform = !strokeMatrix || clip; + if (direct) { + ctx.globalAlpha = opacity; + if (nativeBlend) + ctx.globalCompositeOperation = blendMode; + } else if (transform) { + ctx.translate(-itemOffset.x, -itemOffset.y); + } + if (transform) { + (direct ? matrix : viewMatrix).applyToContext(ctx); + } + if (clip) { + param.clipItem.draw(ctx, param.extend({ clip: true })); + } + if (strokeMatrix) { + ctx.setTransform(pixelRatio, 0, 0, pixelRatio, 0, 0); + var offset = param.offset; + if (offset) + ctx.translate(-offset.x, -offset.y); + } + this._draw(ctx, param, viewMatrix, strokeMatrix); + ctx.restore(); + matrices.pop(); + if (param.clip && !param.dontFinish) + ctx.clip(); + if (!direct) { + BlendMode.process(blendMode, ctx, mainCtx, opacity, + itemOffset.subtract(prevOffset).multiply(pixelRatio)); + CanvasProvider.release(ctx); + param.offset = prevOffset; + } + }, + + _isUpdated: function(updateVersion) { + var parent = this._parent; + if (parent instanceof CompoundPath) + return parent._isUpdated(updateVersion); + var updated = this._updateVersion === updateVersion; + if (!updated && parent && parent._visible + && parent._isUpdated(updateVersion)) { + this._updateVersion = updateVersion; + updated = true; + } + return updated; + }, + + _drawSelection: function(ctx, matrix, size, selectionItems, updateVersion) { + var selection = this._selection, + itemSelected = selection & 1, + boundsSelected = selection & 2 + || itemSelected && this._selectBounds, + positionSelected = selection & 4; + if (!this._drawSelected) + itemSelected = false; + if ((itemSelected || boundsSelected || positionSelected) + && this._isUpdated(updateVersion)) { + var layer, + color = this.getSelectedColor(true) || (layer = this.getLayer()) + && layer.getSelectedColor(true), + mx = matrix.appended(this.getGlobalMatrix(true)), + half = size / 2; + ctx.strokeStyle = ctx.fillStyle = color + ? color.toCanvasStyle(ctx) : '#009dec'; + if (itemSelected) + this._drawSelected(ctx, mx, selectionItems); + if (positionSelected) { + var pos = this.getPosition(true), + parent = this._parent, + point = parent ? parent.localToGlobal(pos) : pos, + x = point.x, + y = point.y; + ctx.beginPath(); + ctx.arc(x, y, half, 0, Math.PI * 2, true); + ctx.stroke(); + var deltas = [[0, -1], [1, 0], [0, 1], [-1, 0]], + start = half, + end = size + 1; + for (var i = 0; i < 4; i++) { + var delta = deltas[i], + dx = delta[0], + dy = delta[1]; + ctx.moveTo(x + dx * start, y + dy * start); + ctx.lineTo(x + dx * end, y + dy * end); + ctx.stroke(); + } + } + if (boundsSelected) { + var coords = mx._transformCorners(this.getInternalBounds()); + ctx.beginPath(); + for (var i = 0; i < 8; i++) { + ctx[!i ? 'moveTo' : 'lineTo'](coords[i], coords[++i]); + } + ctx.closePath(); + ctx.stroke(); + for (var i = 0; i < 8; i++) { + ctx.fillRect(coords[i] - half, coords[++i] - half, + size, size); + } + } + } + }, + + _canComposite: function() { + return false; + } +}, Base.each(['down', 'drag', 'up', 'move'], function(key) { + this['removeOn' + Base.capitalize(key)] = function() { + var hash = {}; + hash[key] = true; + return this.removeOn(hash); + }; +}, { + + removeOn: function(obj) { + for (var name in obj) { + if (obj[name]) { + var key = 'mouse' + name, + project = this._project, + sets = project._removeSets = project._removeSets || {}; + sets[key] = sets[key] || {}; + sets[key][this._id] = this; + } + } + return this; + } +})); + +var Group = Item.extend({ + _class: 'Group', + _selectBounds: false, + _selectChildren: true, + _serializeFields: { + children: [] + }, + + initialize: function Group(arg) { + this._children = []; + this._namedChildren = {}; + if (!this._initialize(arg)) + this.addChildren(Array.isArray(arg) ? arg : arguments); + }, + + _changed: function _changed(flags) { + _changed.base.call(this, flags); + if (flags & 2050) { + this._clipItem = undefined; + } + }, + + _getClipItem: function() { + var clipItem = this._clipItem; + if (clipItem === undefined) { + clipItem = null; + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) { + if (children[i]._clipMask) { + clipItem = children[i]; + break; + } + } + this._clipItem = clipItem; + } + return clipItem; + }, + + isClipped: function() { + return !!this._getClipItem(); + }, + + setClipped: function(clipped) { + var child = this.getFirstChild(); + if (child) + child.setClipMask(clipped); + }, + + _getBounds: function _getBounds(matrix, options) { + var clipItem = this._getClipItem(); + return clipItem + ? clipItem._getCachedBounds( + matrix && matrix.appended(clipItem._matrix), + Base.set({}, options, { stroke: false })) + : _getBounds.base.call(this, matrix, options); + }, + + _hitTestChildren: function _hitTestChildren(point, options, viewMatrix) { + var clipItem = this._getClipItem(); + return (!clipItem || clipItem.contains(point)) + && _hitTestChildren.base.call(this, point, options, viewMatrix, + clipItem); + }, + + _draw: function(ctx, param) { + var clip = param.clip, + clipItem = !clip && this._getClipItem(); + param = param.extend({ clipItem: clipItem, clip: false }); + if (clip) { + ctx.beginPath(); + param.dontStart = param.dontFinish = true; + } else if (clipItem) { + clipItem.draw(ctx, param.extend({ clip: true })); + } + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) { + var item = children[i]; + if (item !== clipItem) + item.draw(ctx, param); + } + } +}); + +var Layer = Group.extend({ + _class: 'Layer', + + initialize: function Layer() { + Group.apply(this, arguments); + }, + + _getOwner: function() { + return this._parent || this._index != null && this._project; + }, + + isInserted: function isInserted() { + return this._parent ? isInserted.base.call(this) : this._index != null; + }, + + activate: function() { + this._project._activeLayer = this; + }, + + _hitTestSelf: function() { + } +}); + +var Shape = Item.extend({ + _class: 'Shape', + _applyMatrix: false, + _canApplyMatrix: false, + _canScaleStroke: true, + _serializeFields: { + type: null, + size: null, + radius: null + }, + + initialize: function Shape(props, point) { + this._initialize(props, point); + }, + + _equals: function(item) { + return this._type === item._type + && this._size.equals(item._size) + && Base.equals(this._radius, item._radius); + }, + + copyContent: function(source) { + this.setType(source._type); + this.setSize(source._size); + this.setRadius(source._radius); + }, + + getType: function() { + return this._type; + }, + + setType: function(type) { + this._type = type; + }, + + getShape: '#getType', + setShape: '#setType', + + getSize: function() { + var size = this._size; + return new LinkedSize(size.width, size.height, this, 'setSize'); + }, + + setSize: function() { + var size = Size.read(arguments); + if (!this._size) { + this._size = size.clone(); + } else if (!this._size.equals(size)) { + var type = this._type, + width = size.width, + height = size.height; + if (type === 'rectangle') { + this._radius.set(Size.min(this._radius, size.divide(2))); + } else if (type === 'circle') { + width = height = (width + height) / 2; + this._radius = width / 2; + } else if (type === 'ellipse') { + this._radius._set(width / 2, height / 2); + } + this._size._set(width, height); + this._changed(9); + } + }, + + getRadius: function() { + var rad = this._radius; + return this._type === 'circle' + ? rad + : new LinkedSize(rad.width, rad.height, this, 'setRadius'); + }, + + setRadius: function(radius) { + var type = this._type; + if (type === 'circle') { + if (radius === this._radius) + return; + var size = radius * 2; + this._radius = radius; + this._size._set(size, size); + } else { + radius = Size.read(arguments); + if (!this._radius) { + this._radius = radius.clone(); + } else { + if (this._radius.equals(radius)) + return; + this._radius.set(radius); + if (type === 'rectangle') { + var size = Size.max(this._size, radius.multiply(2)); + this._size.set(size); + } else if (type === 'ellipse') { + this._size._set(radius.width * 2, radius.height * 2); + } + } + } + this._changed(9); + }, + + isEmpty: function() { + return false; + }, + + toPath: function(insert) { + var path = new Path[Base.capitalize(this._type)]({ + center: new Point(), + size: this._size, + radius: this._radius, + insert: false + }); + path.copyAttributes(this); + if (paper.settings.applyMatrix) + path.setApplyMatrix(true); + if (insert === undefined || insert) + path.insertAbove(this); + return path; + }, + + toShape: '#clone', + + _asPathItem: function() { + return this.toPath(false); + }, + + _draw: function(ctx, param, viewMatrix, strokeMatrix) { + var style = this._style, + hasFill = style.hasFill(), + hasStroke = style.hasStroke(), + dontPaint = param.dontFinish || param.clip, + untransformed = !strokeMatrix; + if (hasFill || hasStroke || dontPaint) { + var type = this._type, + radius = this._radius, + isCircle = type === 'circle'; + if (!param.dontStart) + ctx.beginPath(); + if (untransformed && isCircle) { + ctx.arc(0, 0, radius, 0, Math.PI * 2, true); + } else { + var rx = isCircle ? radius : radius.width, + ry = isCircle ? radius : radius.height, + size = this._size, + width = size.width, + height = size.height; + if (untransformed && type === 'rectangle' && rx === 0 && ry === 0) { + ctx.rect(-width / 2, -height / 2, width, height); + } else { + var x = width / 2, + y = height / 2, + kappa = 1 - 0.5522847498307936, + cx = rx * kappa, + cy = ry * kappa, + c = [ + -x, -y + ry, + -x, -y + cy, + -x + cx, -y, + -x + rx, -y, + x - rx, -y, + x - cx, -y, + x, -y + cy, + x, -y + ry, + x, y - ry, + x, y - cy, + x - cx, y, + x - rx, y, + -x + rx, y, + -x + cx, y, + -x, y - cy, + -x, y - ry + ]; + if (strokeMatrix) + strokeMatrix.transform(c, c, 32); + ctx.moveTo(c[0], c[1]); + ctx.bezierCurveTo(c[2], c[3], c[4], c[5], c[6], c[7]); + if (x !== rx) + ctx.lineTo(c[8], c[9]); + ctx.bezierCurveTo(c[10], c[11], c[12], c[13], c[14], c[15]); + if (y !== ry) + ctx.lineTo(c[16], c[17]); + ctx.bezierCurveTo(c[18], c[19], c[20], c[21], c[22], c[23]); + if (x !== rx) + ctx.lineTo(c[24], c[25]); + ctx.bezierCurveTo(c[26], c[27], c[28], c[29], c[30], c[31]); + } + } + ctx.closePath(); + } + if (!dontPaint && (hasFill || hasStroke)) { + this._setStyles(ctx, param, viewMatrix); + if (hasFill) { + ctx.fill(style.getFillRule()); + ctx.shadowColor = 'rgba(0,0,0,0)'; + } + if (hasStroke) + ctx.stroke(); + } + }, + + _canComposite: function() { + return !(this.hasFill() && this.hasStroke()); + }, + + _getBounds: function(matrix, options) { + var rect = new Rectangle(this._size).setCenter(0, 0), + style = this._style, + strokeWidth = options.stroke && style.hasStroke() + && style.getStrokeWidth(); + if (matrix) + rect = matrix._transformBounds(rect); + return strokeWidth + ? rect.expand(Path._getStrokePadding(strokeWidth, + this._getStrokeMatrix(matrix, options))) + : rect; + } +}, +new function() { + function getCornerCenter(that, point, expand) { + var radius = that._radius; + if (!radius.isZero()) { + var halfSize = that._size.divide(2); + for (var q = 1; q <= 4; q++) { + var dir = new Point(q > 1 && q < 4 ? -1 : 1, q > 2 ? -1 : 1), + corner = dir.multiply(halfSize), + center = corner.subtract(dir.multiply(radius)), + rect = new Rectangle( + expand ? corner.add(dir.multiply(expand)) : corner, + center); + if (rect.contains(point)) + return { point: center, quadrant: q }; + } + } + } + + function isOnEllipseStroke(point, radius, padding, quadrant) { + var vector = point.divide(radius); + return (!quadrant || vector.isInQuadrant(quadrant)) && + vector.subtract(vector.normalize()).multiply(radius) + .divide(padding).length <= 1; + } + + return { + _contains: function _contains(point) { + if (this._type === 'rectangle') { + var center = getCornerCenter(this, point); + return center + ? point.subtract(center.point).divide(this._radius) + .getLength() <= 1 + : _contains.base.call(this, point); + } else { + return point.divide(this.size).getLength() <= 0.5; + } + }, + + _hitTestSelf: function _hitTestSelf(point, options, viewMatrix, + strokeMatrix) { + var hit = false, + style = this._style, + hitStroke = options.stroke && style.hasStroke(), + hitFill = options.fill && style.hasFill(); + if (hitStroke || hitFill) { + var type = this._type, + radius = this._radius, + strokeRadius = hitStroke ? style.getStrokeWidth() / 2 : 0, + strokePadding = options._tolerancePadding.add( + Path._getStrokePadding(strokeRadius, + !style.getStrokeScaling() && strokeMatrix)); + if (type === 'rectangle') { + var padding = strokePadding.multiply(2), + center = getCornerCenter(this, point, padding); + if (center) { + hit = isOnEllipseStroke(point.subtract(center.point), + radius, strokePadding, center.quadrant); + } else { + var rect = new Rectangle(this._size).setCenter(0, 0), + outer = rect.expand(padding), + inner = rect.expand(padding.negate()); + hit = outer._containsPoint(point) + && !inner._containsPoint(point); + } + } else { + hit = isOnEllipseStroke(point, radius, strokePadding); + } + } + return hit ? new HitResult(hitStroke ? 'stroke' : 'fill', this) + : _hitTestSelf.base.apply(this, arguments); + } + }; +}, { + +statics: new function() { + function createShape(type, point, size, radius, args) { + var item = new Shape(Base.getNamed(args), point); + item._type = type; + item._size = size; + item._radius = radius; + return item; + } + + return { + Circle: function() { + var center = Point.readNamed(arguments, 'center'), + radius = Base.readNamed(arguments, 'radius'); + return createShape('circle', center, new Size(radius * 2), radius, + arguments); + }, + + Rectangle: function() { + var rect = Rectangle.readNamed(arguments, 'rectangle'), + radius = Size.min(Size.readNamed(arguments, 'radius'), + rect.getSize(true).divide(2)); + return createShape('rectangle', rect.getCenter(true), + rect.getSize(true), radius, arguments); + }, + + Ellipse: function() { + var ellipse = Shape._readEllipse(arguments), + radius = ellipse.radius; + return createShape('ellipse', ellipse.center, radius.multiply(2), + radius, arguments); + }, + + _readEllipse: function(args) { + var center, + radius; + if (Base.hasNamed(args, 'radius')) { + center = Point.readNamed(args, 'center'); + radius = Size.readNamed(args, 'radius'); + } else { + var rect = Rectangle.readNamed(args, 'rectangle'); + center = rect.getCenter(true); + radius = rect.getSize(true).divide(2); + } + return { center: center, radius: radius }; + } + }; +}}); + +var Raster = Item.extend({ + _class: 'Raster', + _applyMatrix: false, + _canApplyMatrix: false, + _boundsOptions: { stroke: false, handle: false }, + _serializeFields: { + crossOrigin: null, + source: null + }, + _prioritize: ['crossOrigin'], + _smoothing: true, + + initialize: function Raster(object, position) { + if (!this._initialize(object, + position !== undefined && Point.read(arguments, 1))) { + var image = typeof object === 'string' + ? document.getElementById(object) : object; + if (image) { + this.setImage(image); + } else { + this.setSource(object); + } + } + if (!this._size) { + this._size = new Size(); + this._loaded = false; + } + }, + + _equals: function(item) { + return this.getSource() === item.getSource(); + }, + + copyContent: function(source) { + var image = source._image, + canvas = source._canvas; + if (image) { + this._setImage(image); + } else if (canvas) { + var copyCanvas = CanvasProvider.getCanvas(source._size); + copyCanvas.getContext('2d').drawImage(canvas, 0, 0); + this._setImage(copyCanvas); + } + this._crossOrigin = source._crossOrigin; + }, + + getSize: function() { + var size = this._size; + return new LinkedSize(size ? size.width : 0, size ? size.height : 0, + this, 'setSize'); + }, + + setSize: function() { + var size = Size.read(arguments); + if (!size.equals(this._size)) { + if (size.width > 0 && size.height > 0) { + var element = this.getElement(); + this._setImage(CanvasProvider.getCanvas(size)); + if (element) + this.getContext(true).drawImage(element, 0, 0, + size.width, size.height); + } else { + if (this._canvas) + CanvasProvider.release(this._canvas); + this._size = size.clone(); + } + } + }, + + getWidth: function() { + return this._size ? this._size.width : 0; + }, + + setWidth: function(width) { + this.setSize(width, this.getHeight()); + }, + + getHeight: function() { + return this._size ? this._size.height : 0; + }, + + setHeight: function(height) { + this.setSize(this.getWidth(), height); + }, + + getLoaded: function() { + return this._loaded; + }, + + isEmpty: function() { + var size = this._size; + return !size || size.width === 0 && size.height === 0; + }, + + getResolution: function() { + var matrix = this._matrix, + orig = new Point(0, 0).transform(matrix), + u = new Point(1, 0).transform(matrix).subtract(orig), + v = new Point(0, 1).transform(matrix).subtract(orig); + return new Size( + 72 / u.getLength(), + 72 / v.getLength() + ); + }, + + getPpi: '#getResolution', + + getImage: function() { + return this._image; + }, + + setImage: function(image) { + var that = this; + + function emit(event) { + var view = that.getView(), + type = event && event.type || 'load'; + if (view && that.responds(type)) { + paper = view._scope; + that.emit(type, new Event(event)); + } + } + + this._setImage(image); + if (this._loaded) { + setTimeout(emit, 0); + } else if (image) { + DomEvent.add(image, { + load: function(event) { + that._setImage(image); + emit(event); + }, + error: emit + }); + } + }, + + _setImage: function(image) { + if (this._canvas) + CanvasProvider.release(this._canvas); + if (image && image.getContext) { + this._image = null; + this._canvas = image; + this._loaded = true; + } else { + this._image = image; + this._canvas = null; + this._loaded = !!(image && image.src && image.complete); + } + this._size = new Size( + image ? image.naturalWidth || image.width : 0, + image ? image.naturalHeight || image.height : 0); + this._context = null; + this._changed(1033); + }, + + getCanvas: function() { + if (!this._canvas) { + var ctx = CanvasProvider.getContext(this._size); + try { + if (this._image) + ctx.drawImage(this._image, 0, 0); + this._canvas = ctx.canvas; + } catch (e) { + CanvasProvider.release(ctx); + } + } + return this._canvas; + }, + + setCanvas: '#setImage', + + getContext: function(modify) { + if (!this._context) + this._context = this.getCanvas().getContext('2d'); + if (modify) { + this._image = null; + this._changed(1025); + } + return this._context; + }, + + setContext: function(context) { + this._context = context; + }, + + getSource: function() { + var image = this._image; + return image && image.src || this.toDataURL(); + }, + + setSource: function(src) { + var image = new self.Image(), + crossOrigin = this._crossOrigin; + if (crossOrigin) + image.crossOrigin = crossOrigin; + image.src = src; + this.setImage(image); + }, + + getCrossOrigin: function() { + var image = this._image; + return image && image.crossOrigin || this._crossOrigin || ''; + }, + + setCrossOrigin: function(crossOrigin) { + this._crossOrigin = crossOrigin; + var image = this._image; + if (image) + image.crossOrigin = crossOrigin; + }, + + getSmoothing: function() { + return this._smoothing; + }, + + setSmoothing: function(smoothing) { + this._smoothing = smoothing; + this._changed(257); + }, + + getElement: function() { + return this._canvas || this._loaded && this._image; + } +}, { + beans: false, + + getSubCanvas: function() { + var rect = Rectangle.read(arguments), + ctx = CanvasProvider.getContext(rect.getSize()); + ctx.drawImage(this.getCanvas(), rect.x, rect.y, + rect.width, rect.height, 0, 0, rect.width, rect.height); + return ctx.canvas; + }, + + getSubRaster: function() { + var rect = Rectangle.read(arguments), + raster = new Raster(Item.NO_INSERT); + raster._setImage(this.getSubCanvas(rect)); + raster.translate(rect.getCenter().subtract(this.getSize().divide(2))); + raster._matrix.prepend(this._matrix); + raster.insertAbove(this); + return raster; + }, + + toDataURL: function() { + var image = this._image, + src = image && image.src; + if (/^data:/.test(src)) + return src; + var canvas = this.getCanvas(); + return canvas ? canvas.toDataURL.apply(canvas, arguments) : null; + }, + + drawImage: function(image ) { + var point = Point.read(arguments, 1); + this.getContext(true).drawImage(image, point.x, point.y); + }, + + getAverageColor: function(object) { + var bounds, path; + if (!object) { + bounds = this.getBounds(); + } else if (object instanceof PathItem) { + path = object; + bounds = object.getBounds(); + } else if (typeof object === 'object') { + if ('width' in object) { + bounds = new Rectangle(object); + } else if ('x' in object) { + bounds = new Rectangle(object.x - 0.5, object.y - 0.5, 1, 1); + } + } + if (!bounds) + return null; + var sampleSize = 32, + width = Math.min(bounds.width, sampleSize), + height = Math.min(bounds.height, sampleSize); + var ctx = Raster._sampleContext; + if (!ctx) { + ctx = Raster._sampleContext = CanvasProvider.getContext( + new Size(sampleSize)); + } else { + ctx.clearRect(0, 0, sampleSize + 1, sampleSize + 1); + } + ctx.save(); + var matrix = new Matrix() + .scale(width / bounds.width, height / bounds.height) + .translate(-bounds.x, -bounds.y); + matrix.applyToContext(ctx); + if (path) + path.draw(ctx, new Base({ clip: true, matrices: [matrix] })); + this._matrix.applyToContext(ctx); + var element = this.getElement(), + size = this._size; + if (element) + ctx.drawImage(element, -size.width / 2, -size.height / 2); + ctx.restore(); + var pixels = ctx.getImageData(0.5, 0.5, Math.ceil(width), + Math.ceil(height)).data, + channels = [0, 0, 0], + total = 0; + for (var i = 0, l = pixels.length; i < l; i += 4) { + var alpha = pixels[i + 3]; + total += alpha; + alpha /= 255; + channels[0] += pixels[i] * alpha; + channels[1] += pixels[i + 1] * alpha; + channels[2] += pixels[i + 2] * alpha; + } + for (var i = 0; i < 3; i++) + channels[i] /= total; + return total ? Color.read(channels) : null; + }, + + getPixel: function() { + var point = Point.read(arguments); + var data = this.getContext().getImageData(point.x, point.y, 1, 1).data; + return new Color('rgb', [data[0] / 255, data[1] / 255, data[2] / 255], + data[3] / 255); + }, + + setPixel: function() { + var point = Point.read(arguments), + color = Color.read(arguments), + components = color._convert('rgb'), + alpha = color._alpha, + ctx = this.getContext(true), + imageData = ctx.createImageData(1, 1), + data = imageData.data; + data[0] = components[0] * 255; + data[1] = components[1] * 255; + data[2] = components[2] * 255; + data[3] = alpha != null ? alpha * 255 : 255; + ctx.putImageData(imageData, point.x, point.y); + }, + + createImageData: function() { + var size = Size.read(arguments); + return this.getContext().createImageData(size.width, size.height); + }, + + getImageData: function() { + var rect = Rectangle.read(arguments); + if (rect.isEmpty()) + rect = new Rectangle(this._size); + return this.getContext().getImageData(rect.x, rect.y, + rect.width, rect.height); + }, + + setImageData: function(data ) { + var point = Point.read(arguments, 1); + this.getContext(true).putImageData(data, point.x, point.y); + }, + + _getBounds: function(matrix, options) { + var rect = new Rectangle(this._size).setCenter(0, 0); + return matrix ? matrix._transformBounds(rect) : rect; + }, + + _hitTestSelf: function(point) { + if (this._contains(point)) { + var that = this; + return new HitResult('pixel', that, { + offset: point.add(that._size.divide(2)).round(), + color: { + get: function() { + return that.getPixel(this.offset); + } + } + }); + } + }, + + _draw: function(ctx, param, viewMatrix) { + var element = this.getElement(); + if (element) { + ctx.globalAlpha = this._opacity; + + this._setStyles(ctx, param, viewMatrix); + + DomElement.setPrefixed( + ctx, 'imageSmoothingEnabled', this._smoothing + ); + + ctx.drawImage(element, + -this._size.width / 2, -this._size.height / 2); + } + }, + + _canComposite: function() { + return true; + } +}); + +var SymbolItem = Item.extend({ + _class: 'SymbolItem', + _applyMatrix: false, + _canApplyMatrix: false, + _boundsOptions: { stroke: true }, + _serializeFields: { + symbol: null + }, + + initialize: function SymbolItem(arg0, arg1) { + if (!this._initialize(arg0, + arg1 !== undefined && Point.read(arguments, 1))) + this.setDefinition(arg0 instanceof SymbolDefinition ? + arg0 : new SymbolDefinition(arg0)); + }, + + _equals: function(item) { + return this._definition === item._definition; + }, + + copyContent: function(source) { + this.setDefinition(source._definition); + }, + + getDefinition: function() { + return this._definition; + }, + + setDefinition: function(definition) { + this._definition = definition; + this._changed(9); + }, + + getSymbol: '#getDefinition', + setSymbol: '#setDefinition', + + isEmpty: function() { + return this._definition._item.isEmpty(); + }, + + _getBounds: function(matrix, options) { + var item = this._definition._item; + return item._getCachedBounds(item._matrix.prepended(matrix), options); + }, + + _hitTestSelf: function(point, options, viewMatrix) { + var res = this._definition._item._hitTest(point, options, viewMatrix); + if (res) + res.item = this; + return res; + }, + + _draw: function(ctx, param) { + this._definition._item.draw(ctx, param); + } + +}); + +var SymbolDefinition = Base.extend({ + _class: 'SymbolDefinition', + + initialize: function SymbolDefinition(item, dontCenter) { + this._id = UID.get(); + this.project = paper.project; + if (item) + this.setItem(item, dontCenter); + }, + + _serialize: function(options, dictionary) { + return dictionary.add(this, function() { + return Base.serialize([this._class, this._item], + options, false, dictionary); + }); + }, + + _changed: function(flags) { + if (flags & 8) + Item._clearBoundsCache(this); + if (flags & 1) + this.project._changed(flags); + }, + + getItem: function() { + return this._item; + }, + + setItem: function(item, _dontCenter) { + if (item._symbol) + item = item.clone(); + if (this._item) + this._item._symbol = null; + this._item = item; + item.remove(); + item.setSelected(false); + if (!_dontCenter) + item.setPosition(new Point()); + item._symbol = this; + this._changed(9); + }, + + getDefinition: '#getItem', + setDefinition: '#setItem', + + place: function(position) { + return new SymbolItem(this, position); + }, + + clone: function() { + return new SymbolDefinition(this._item.clone(false)); + }, + + equals: function(symbol) { + return symbol === this + || symbol && this._item.equals(symbol._item) + || false; + } +}); + +var HitResult = Base.extend({ + _class: 'HitResult', + + initialize: function HitResult(type, item, values) { + this.type = type; + this.item = item; + if (values) + this.inject(values); + }, + + statics: { + getOptions: function(args) { + var options = args && Base.read(args); + return Base.set({ + type: null, + tolerance: paper.settings.hitTolerance, + fill: !options, + stroke: !options, + segments: !options, + handles: false, + ends: false, + position: false, + center: false, + bounds: false, + guides: false, + selected: false + }, options); + } + } +}); + +var Segment = Base.extend({ + _class: 'Segment', + beans: true, + _selection: 0, + + initialize: function Segment(arg0, arg1, arg2, arg3, arg4, arg5) { + var count = arguments.length, + point, handleIn, handleOut, selection; + if (count > 0) { + if (arg0 == null || typeof arg0 === 'object') { + if (count === 1 && arg0 && 'point' in arg0) { + point = arg0.point; + handleIn = arg0.handleIn; + handleOut = arg0.handleOut; + selection = arg0.selection; + } else { + point = arg0; + handleIn = arg1; + handleOut = arg2; + selection = arg3; + } + } else { + point = [ arg0, arg1 ]; + handleIn = arg2 !== undefined ? [ arg2, arg3 ] : null; + handleOut = arg4 !== undefined ? [ arg4, arg5 ] : null; + } + } + new SegmentPoint(point, this, '_point'); + new SegmentPoint(handleIn, this, '_handleIn'); + new SegmentPoint(handleOut, this, '_handleOut'); + if (selection) + this.setSelection(selection); + }, + + _serialize: function(options, dictionary) { + var point = this._point, + selection = this._selection, + obj = selection || this.hasHandles() + ? [point, this._handleIn, this._handleOut] + : point; + if (selection) + obj.push(selection); + return Base.serialize(obj, options, true, dictionary); + }, + + _changed: function(point) { + var path = this._path; + if (!path) + return; + var curves = path._curves, + index = this._index, + curve; + if (curves) { + if ((!point || point === this._point || point === this._handleIn) + && (curve = index > 0 ? curves[index - 1] : path._closed + ? curves[curves.length - 1] : null)) + curve._changed(); + if ((!point || point === this._point || point === this._handleOut) + && (curve = curves[index])) + curve._changed(); + } + path._changed(41); + }, + + getPoint: function() { + return this._point; + }, + + setPoint: function() { + this._point.set(Point.read(arguments)); + }, + + getHandleIn: function() { + return this._handleIn; + }, + + setHandleIn: function() { + this._handleIn.set(Point.read(arguments)); + }, + + getHandleOut: function() { + return this._handleOut; + }, + + setHandleOut: function() { + this._handleOut.set(Point.read(arguments)); + }, + + hasHandles: function() { + return !this._handleIn.isZero() || !this._handleOut.isZero(); + }, + + isSmooth: function() { + var handleIn = this._handleIn, + handleOut = this._handleOut; + return !handleIn.isZero() && !handleOut.isZero() + && handleIn.isCollinear(handleOut); + }, + + clearHandles: function() { + this._handleIn._set(0, 0); + this._handleOut._set(0, 0); + }, + + getSelection: function() { + return this._selection; + }, + + setSelection: function(selection) { + var oldSelection = this._selection, + path = this._path; + this._selection = selection = selection || 0; + if (path && selection !== oldSelection) { + path._updateSelection(this, oldSelection, selection); + path._changed(257); + } + }, + + _changeSelection: function(flag, selected) { + var selection = this._selection; + this.setSelection(selected ? selection | flag : selection & ~flag); + }, + + isSelected: function() { + return !!(this._selection & 7); + }, + + setSelected: function(selected) { + this._changeSelection(7, selected); + }, + + getIndex: function() { + return this._index !== undefined ? this._index : null; + }, + + getPath: function() { + return this._path || null; + }, + + getCurve: function() { + var path = this._path, + index = this._index; + if (path) { + if (index > 0 && !path._closed + && index === path._segments.length - 1) + index--; + return path.getCurves()[index] || null; + } + return null; + }, + + getLocation: function() { + var curve = this.getCurve(); + return curve + ? new CurveLocation(curve, this === curve._segment1 ? 0 : 1) + : null; + }, + + getNext: function() { + var segments = this._path && this._path._segments; + return segments && (segments[this._index + 1] + || this._path._closed && segments[0]) || null; + }, + + smooth: function(options, _first, _last) { + var opts = options || {}, + type = opts.type, + factor = opts.factor, + prev = this.getPrevious(), + next = this.getNext(), + p0 = (prev || this)._point, + p1 = this._point, + p2 = (next || this)._point, + d1 = p0.getDistance(p1), + d2 = p1.getDistance(p2); + if (!type || type === 'catmull-rom') { + var a = factor === undefined ? 0.5 : factor, + d1_a = Math.pow(d1, a), + d1_2a = d1_a * d1_a, + d2_a = Math.pow(d2, a), + d2_2a = d2_a * d2_a; + if (!_first && prev) { + var A = 2 * d2_2a + 3 * d2_a * d1_a + d1_2a, + N = 3 * d2_a * (d2_a + d1_a); + this.setHandleIn(N !== 0 + ? new Point( + (d2_2a * p0._x + A * p1._x - d1_2a * p2._x) / N - p1._x, + (d2_2a * p0._y + A * p1._y - d1_2a * p2._y) / N - p1._y) + : new Point()); + } + if (!_last && next) { + var A = 2 * d1_2a + 3 * d1_a * d2_a + d2_2a, + N = 3 * d1_a * (d1_a + d2_a); + this.setHandleOut(N !== 0 + ? new Point( + (d1_2a * p2._x + A * p1._x - d2_2a * p0._x) / N - p1._x, + (d1_2a * p2._y + A * p1._y - d2_2a * p0._y) / N - p1._y) + : new Point()); + } + } else if (type === 'geometric') { + if (prev && next) { + var vector = p0.subtract(p2), + t = factor === undefined ? 0.4 : factor, + k = t * d1 / (d1 + d2); + if (!_first) + this.setHandleIn(vector.multiply(k)); + if (!_last) + this.setHandleOut(vector.multiply(k - t)); + } + } else { + throw new Error('Smoothing method \'' + type + '\' not supported.'); + } + }, + + getPrevious: function() { + var segments = this._path && this._path._segments; + return segments && (segments[this._index - 1] + || this._path._closed && segments[segments.length - 1]) || null; + }, + + isFirst: function() { + return !this._index; + }, + + isLast: function() { + var path = this._path; + return path && this._index === path._segments.length - 1 || false; + }, + + reverse: function() { + var handleIn = this._handleIn, + handleOut = this._handleOut, + tmp = handleIn.clone(); + handleIn.set(handleOut); + handleOut.set(tmp); + }, + + reversed: function() { + return new Segment(this._point, this._handleOut, this._handleIn); + }, + + remove: function() { + return this._path ? !!this._path.removeSegment(this._index) : false; + }, + + clone: function() { + return new Segment(this._point, this._handleIn, this._handleOut); + }, + + equals: function(segment) { + return segment === this || segment && this._class === segment._class + && this._point.equals(segment._point) + && this._handleIn.equals(segment._handleIn) + && this._handleOut.equals(segment._handleOut) + || false; + }, + + toString: function() { + var parts = [ 'point: ' + this._point ]; + if (!this._handleIn.isZero()) + parts.push('handleIn: ' + this._handleIn); + if (!this._handleOut.isZero()) + parts.push('handleOut: ' + this._handleOut); + return '{ ' + parts.join(', ') + ' }'; + }, + + transform: function(matrix) { + this._transformCoordinates(matrix, new Array(6), true); + this._changed(); + }, + + interpolate: function(from, to, factor) { + var u = 1 - factor, + v = factor, + point1 = from._point, + point2 = to._point, + handleIn1 = from._handleIn, + handleIn2 = to._handleIn, + handleOut2 = to._handleOut, + handleOut1 = from._handleOut; + this._point._set( + u * point1._x + v * point2._x, + u * point1._y + v * point2._y, true); + this._handleIn._set( + u * handleIn1._x + v * handleIn2._x, + u * handleIn1._y + v * handleIn2._y, true); + this._handleOut._set( + u * handleOut1._x + v * handleOut2._x, + u * handleOut1._y + v * handleOut2._y, true); + this._changed(); + }, + + _transformCoordinates: function(matrix, coords, change) { + var point = this._point, + handleIn = !change || !this._handleIn.isZero() + ? this._handleIn : null, + handleOut = !change || !this._handleOut.isZero() + ? this._handleOut : null, + x = point._x, + y = point._y, + i = 2; + coords[0] = x; + coords[1] = y; + if (handleIn) { + coords[i++] = handleIn._x + x; + coords[i++] = handleIn._y + y; + } + if (handleOut) { + coords[i++] = handleOut._x + x; + coords[i++] = handleOut._y + y; + } + if (matrix) { + matrix._transformCoordinates(coords, coords, i / 2); + x = coords[0]; + y = coords[1]; + if (change) { + point._x = x; + point._y = y; + i = 2; + if (handleIn) { + handleIn._x = coords[i++] - x; + handleIn._y = coords[i++] - y; + } + if (handleOut) { + handleOut._x = coords[i++] - x; + handleOut._y = coords[i++] - y; + } + } else { + if (!handleIn) { + coords[i++] = x; + coords[i++] = y; + } + if (!handleOut) { + coords[i++] = x; + coords[i++] = y; + } + } + } + return coords; + } +}); + +var SegmentPoint = Point.extend({ + initialize: function SegmentPoint(point, owner, key) { + var x, y, + selected; + if (!point) { + x = y = 0; + } else if ((x = point[0]) !== undefined) { + y = point[1]; + } else { + var pt = point; + if ((x = pt.x) === undefined) { + pt = Point.read(arguments); + x = pt.x; + } + y = pt.y; + selected = pt.selected; + } + this._x = x; + this._y = y; + this._owner = owner; + owner[key] = this; + if (selected) + this.setSelected(true); + }, + + _set: function(x, y) { + this._x = x; + this._y = y; + this._owner._changed(this); + return this; + }, + + getX: function() { + return this._x; + }, + + setX: function(x) { + this._x = x; + this._owner._changed(this); + }, + + getY: function() { + return this._y; + }, + + setY: function(y) { + this._y = y; + this._owner._changed(this); + }, + + isZero: function() { + var isZero = Numerical.isZero; + return isZero(this._x) && isZero(this._y); + }, + + isSelected: function() { + return !!(this._owner._selection & this._getSelection()); + }, + + setSelected: function(selected) { + this._owner._changeSelection(this._getSelection(), selected); + }, + + _getSelection: function() { + var owner = this._owner; + return this === owner._point ? 1 + : this === owner._handleIn ? 2 + : this === owner._handleOut ? 4 + : 0; + } +}); + +var Curve = Base.extend({ + _class: 'Curve', + beans: true, + + initialize: function Curve(arg0, arg1, arg2, arg3, arg4, arg5, arg6, arg7) { + var count = arguments.length, + seg1, seg2, + point1, point2, + handle1, handle2; + if (count === 3) { + this._path = arg0; + seg1 = arg1; + seg2 = arg2; + } else if (!count) { + seg1 = new Segment(); + seg2 = new Segment(); + } else if (count === 1) { + if ('segment1' in arg0) { + seg1 = new Segment(arg0.segment1); + seg2 = new Segment(arg0.segment2); + } else if ('point1' in arg0) { + point1 = arg0.point1; + handle1 = arg0.handle1; + handle2 = arg0.handle2; + point2 = arg0.point2; + } else if (Array.isArray(arg0)) { + point1 = [arg0[0], arg0[1]]; + point2 = [arg0[6], arg0[7]]; + handle1 = [arg0[2] - arg0[0], arg0[3] - arg0[1]]; + handle2 = [arg0[4] - arg0[6], arg0[5] - arg0[7]]; + } + } else if (count === 2) { + seg1 = new Segment(arg0); + seg2 = new Segment(arg1); + } else if (count === 4) { + point1 = arg0; + handle1 = arg1; + handle2 = arg2; + point2 = arg3; + } else if (count === 8) { + point1 = [arg0, arg1]; + point2 = [arg6, arg7]; + handle1 = [arg2 - arg0, arg3 - arg1]; + handle2 = [arg4 - arg6, arg5 - arg7]; + } + this._segment1 = seg1 || new Segment(point1, null, handle1); + this._segment2 = seg2 || new Segment(point2, handle2, null); + }, + + _serialize: function(options, dictionary) { + return Base.serialize(this.hasHandles() + ? [this.getPoint1(), this.getHandle1(), this.getHandle2(), + this.getPoint2()] + : [this.getPoint1(), this.getPoint2()], + options, true, dictionary); + }, + + _changed: function() { + this._length = this._bounds = undefined; + }, + + clone: function() { + return new Curve(this._segment1, this._segment2); + }, + + toString: function() { + var parts = [ 'point1: ' + this._segment1._point ]; + if (!this._segment1._handleOut.isZero()) + parts.push('handle1: ' + this._segment1._handleOut); + if (!this._segment2._handleIn.isZero()) + parts.push('handle2: ' + this._segment2._handleIn); + parts.push('point2: ' + this._segment2._point); + return '{ ' + parts.join(', ') + ' }'; + }, + + classify: function() { + return Curve.classify(this.getValues()); + }, + + remove: function() { + var removed = false; + if (this._path) { + var segment2 = this._segment2, + handleOut = segment2._handleOut; + removed = segment2.remove(); + if (removed) + this._segment1._handleOut.set(handleOut); + } + return removed; + }, + + getPoint1: function() { + return this._segment1._point; + }, + + setPoint1: function() { + this._segment1._point.set(Point.read(arguments)); + }, + + getPoint2: function() { + return this._segment2._point; + }, + + setPoint2: function() { + this._segment2._point.set(Point.read(arguments)); + }, + + getHandle1: function() { + return this._segment1._handleOut; + }, + + setHandle1: function() { + this._segment1._handleOut.set(Point.read(arguments)); + }, + + getHandle2: function() { + return this._segment2._handleIn; + }, + + setHandle2: function() { + this._segment2._handleIn.set(Point.read(arguments)); + }, + + getSegment1: function() { + return this._segment1; + }, + + getSegment2: function() { + return this._segment2; + }, + + getPath: function() { + return this._path; + }, + + getIndex: function() { + return this._segment1._index; + }, + + getNext: function() { + var curves = this._path && this._path._curves; + return curves && (curves[this._segment1._index + 1] + || this._path._closed && curves[0]) || null; + }, + + getPrevious: function() { + var curves = this._path && this._path._curves; + return curves && (curves[this._segment1._index - 1] + || this._path._closed && curves[curves.length - 1]) || null; + }, + + isFirst: function() { + return !this._segment1._index; + }, + + isLast: function() { + var path = this._path; + return path && this._segment1._index === path._curves.length - 1 + || false; + }, + + isSelected: function() { + return this.getPoint1().isSelected() + && this.getHandle1().isSelected() + && this.getHandle2().isSelected() + && this.getPoint2().isSelected(); + }, + + setSelected: function(selected) { + this.getPoint1().setSelected(selected); + this.getHandle1().setSelected(selected); + this.getHandle2().setSelected(selected); + this.getPoint2().setSelected(selected); + }, + + getValues: function(matrix) { + return Curve.getValues(this._segment1, this._segment2, matrix); + }, + + getPoints: function() { + var coords = this.getValues(), + points = []; + for (var i = 0; i < 8; i += 2) + points.push(new Point(coords[i], coords[i + 1])); + return points; + } +}, { + getLength: function() { + if (this._length == null) + this._length = Curve.getLength(this.getValues(), 0, 1); + return this._length; + }, + + getArea: function() { + return Curve.getArea(this.getValues()); + }, + + getLine: function() { + return new Line(this._segment1._point, this._segment2._point); + }, + + getPart: function(from, to) { + return new Curve(Curve.getPart(this.getValues(), from, to)); + }, + + getPartLength: function(from, to) { + return Curve.getLength(this.getValues(), from, to); + }, + + divideAt: function(location) { + return this.divideAtTime(location && location.curve === this + ? location.time : this.getTimeAt(location)); + }, + + divideAtTime: function(time, _setHandles) { + var tMin = 1e-8, + tMax = 1 - tMin, + res = null; + if (time >= tMin && time <= tMax) { + var parts = Curve.subdivide(this.getValues(), time), + left = parts[0], + right = parts[1], + setHandles = _setHandles || this.hasHandles(), + seg1 = this._segment1, + seg2 = this._segment2, + path = this._path; + if (setHandles) { + seg1._handleOut._set(left[2] - left[0], left[3] - left[1]); + seg2._handleIn._set(right[4] - right[6],right[5] - right[7]); + } + var x = left[6], y = left[7], + segment = new Segment(new Point(x, y), + setHandles && new Point(left[4] - x, left[5] - y), + setHandles && new Point(right[2] - x, right[3] - y)); + if (path) { + path.insert(seg1._index + 1, segment); + res = this.getNext(); + } else { + this._segment2 = segment; + this._changed(); + res = new Curve(segment, seg2); + } + } + return res; + }, + + splitAt: function(location) { + var path = this._path; + return path ? path.splitAt(location) : null; + }, + + splitAtTime: function(time) { + return this.splitAt(this.getLocationAtTime(time)); + }, + + divide: function(offset, isTime) { + return this.divideAtTime(offset === undefined ? 0.5 : isTime ? offset + : this.getTimeAt(offset)); + }, + + split: function(offset, isTime) { + return this.splitAtTime(offset === undefined ? 0.5 : isTime ? offset + : this.getTimeAt(offset)); + }, + + reversed: function() { + return new Curve(this._segment2.reversed(), this._segment1.reversed()); + }, + + clearHandles: function() { + this._segment1._handleOut._set(0, 0); + this._segment2._handleIn._set(0, 0); + }, + +statics: { + getValues: function(segment1, segment2, matrix, straight) { + var p1 = segment1._point, + h1 = segment1._handleOut, + h2 = segment2._handleIn, + p2 = segment2._point, + x1 = p1.x, y1 = p1.y, + x2 = p2.x, y2 = p2.y, + values = straight + ? [ x1, y1, x1, y1, x2, y2, x2, y2 ] + : [ + x1, y1, + x1 + h1._x, y1 + h1._y, + x2 + h2._x, y2 + h2._y, + x2, y2 + ]; + if (matrix) + matrix._transformCoordinates(values, values, 4); + return values; + }, + + subdivide: function(v, t) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7]; + if (t === undefined) + t = 0.5; + var u = 1 - t, + x4 = u * x0 + t * x1, y4 = u * y0 + t * y1, + x5 = u * x1 + t * x2, y5 = u * y1 + t * y2, + x6 = u * x2 + t * x3, y6 = u * y2 + t * y3, + x7 = u * x4 + t * x5, y7 = u * y4 + t * y5, + x8 = u * x5 + t * x6, y8 = u * y5 + t * y6, + x9 = u * x7 + t * x8, y9 = u * y7 + t * y8; + return [ + [x0, y0, x4, y4, x7, y7, x9, y9], + [x9, y9, x8, y8, x6, y6, x3, y3] + ]; + }, + + getMonoCurves: function(v, dir) { + var curves = [], + io = dir ? 0 : 1, + o0 = v[io + 0], + o1 = v[io + 2], + o2 = v[io + 4], + o3 = v[io + 6]; + if ((o0 >= o1) === (o1 >= o2) && (o1 >= o2) === (o2 >= o3) + || Curve.isStraight(v)) { + curves.push(v); + } else { + var a = 3 * (o1 - o2) - o0 + o3, + b = 2 * (o0 + o2) - 4 * o1, + c = o1 - o0, + tMin = 1e-8, + tMax = 1 - tMin, + roots = [], + n = Numerical.solveQuadratic(a, b, c, roots, tMin, tMax); + if (!n) { + curves.push(v); + } else { + roots.sort(); + var t = roots[0], + parts = Curve.subdivide(v, t); + curves.push(parts[0]); + if (n > 1) { + t = (roots[1] - t) / (1 - t); + parts = Curve.subdivide(parts[1], t); + curves.push(parts[0]); + } + curves.push(parts[1]); + } + } + return curves; + }, + + solveCubic: function (v, coord, val, roots, min, max) { + var v0 = v[coord], + v1 = v[coord + 2], + v2 = v[coord + 4], + v3 = v[coord + 6], + res = 0; + if ( !(v0 < val && v3 < val && v1 < val && v2 < val || + v0 > val && v3 > val && v1 > val && v2 > val)) { + var c = 3 * (v1 - v0), + b = 3 * (v2 - v1) - c, + a = v3 - v0 - c - b; + res = Numerical.solveCubic(a, b, c, v0 - val, roots, min, max); + } + return res; + }, + + getTimeOf: function(v, point) { + var p0 = new Point(v[0], v[1]), + p3 = new Point(v[6], v[7]), + epsilon = 1e-12, + geomEpsilon = 1e-7, + t = point.isClose(p0, epsilon) ? 0 + : point.isClose(p3, epsilon) ? 1 + : null; + if (t === null) { + var coords = [point.x, point.y], + roots = []; + for (var c = 0; c < 2; c++) { + var count = Curve.solveCubic(v, c, coords[c], roots, 0, 1); + for (var i = 0; i < count; i++) { + var u = roots[i]; + if (point.isClose(Curve.getPoint(v, u), geomEpsilon)) + return u; + } + } + } + return point.isClose(p0, geomEpsilon) ? 0 + : point.isClose(p3, geomEpsilon) ? 1 + : null; + }, + + getNearestTime: function(v, point) { + if (Curve.isStraight(v)) { + var x0 = v[0], y0 = v[1], + x3 = v[6], y3 = v[7], + vx = x3 - x0, vy = y3 - y0, + det = vx * vx + vy * vy; + if (det === 0) + return 0; + var u = ((point.x - x0) * vx + (point.y - y0) * vy) / det; + return u < 1e-12 ? 0 + : u > 0.999999999999 ? 1 + : Curve.getTimeOf(v, + new Point(x0 + u * vx, y0 + u * vy)); + } + + var count = 100, + minDist = Infinity, + minT = 0; + + function refine(t) { + if (t >= 0 && t <= 1) { + var dist = point.getDistance(Curve.getPoint(v, t), true); + if (dist < minDist) { + minDist = dist; + minT = t; + return true; + } + } + } + + for (var i = 0; i <= count; i++) + refine(i / count); + + var step = 1 / (count * 2); + while (step > 1e-8) { + if (!refine(minT - step) && !refine(minT + step)) + step /= 2; + } + return minT; + }, + + getPart: function(v, from, to) { + var flip = from > to; + if (flip) { + var tmp = from; + from = to; + to = tmp; + } + if (from > 0) + v = Curve.subdivide(v, from)[1]; + if (to < 1) + v = Curve.subdivide(v, (to - from) / (1 - from))[0]; + return flip + ? [v[6], v[7], v[4], v[5], v[2], v[3], v[0], v[1]] + : v; + }, + + isFlatEnough: function(v, flatness) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + ux = 3 * x1 - 2 * x0 - x3, + uy = 3 * y1 - 2 * y0 - y3, + vx = 3 * x2 - 2 * x3 - x0, + vy = 3 * y2 - 2 * y3 - y0; + return Math.max(ux * ux, vx * vx) + Math.max(uy * uy, vy * vy) + <= 16 * flatness * flatness; + }, + + getArea: function(v) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7]; + return 3 * ((y3 - y0) * (x1 + x2) - (x3 - x0) * (y1 + y2) + + y1 * (x0 - x2) - x1 * (y0 - y2) + + y3 * (x2 + x0 / 3) - x3 * (y2 + y0 / 3)) / 20; + }, + + getBounds: function(v) { + var min = v.slice(0, 2), + max = min.slice(), + roots = [0, 0]; + for (var i = 0; i < 2; i++) + Curve._addBounds(v[i], v[i + 2], v[i + 4], v[i + 6], + i, 0, min, max, roots); + return new Rectangle(min[0], min[1], max[0] - min[0], max[1] - min[1]); + }, + + _addBounds: function(v0, v1, v2, v3, coord, padding, min, max, roots) { + function add(value, padding) { + var left = value - padding, + right = value + padding; + if (left < min[coord]) + min[coord] = left; + if (right > max[coord]) + max[coord] = right; + } + + padding /= 2; + var minPad = min[coord] - padding, + maxPad = max[coord] + padding; + if ( v0 < minPad || v1 < minPad || v2 < minPad || v3 < minPad || + v0 > maxPad || v1 > maxPad || v2 > maxPad || v3 > maxPad) { + if (v1 < v0 != v1 < v3 && v2 < v0 != v2 < v3) { + add(v0, padding); + add(v3, padding); + } else { + var a = 3 * (v1 - v2) - v0 + v3, + b = 2 * (v0 + v2) - 4 * v1, + c = v1 - v0, + count = Numerical.solveQuadratic(a, b, c, roots), + tMin = 1e-8, + tMax = 1 - tMin; + add(v3, 0); + for (var i = 0; i < count; i++) { + var t = roots[i], + u = 1 - t; + if (tMin <= t && t <= tMax) + add(u * u * u * v0 + + 3 * u * u * t * v1 + + 3 * u * t * t * v2 + + t * t * t * v3, + padding); + } + } + } + } +}}, Base.each( + ['getBounds', 'getStrokeBounds', 'getHandleBounds'], + function(name) { + this[name] = function() { + if (!this._bounds) + this._bounds = {}; + var bounds = this._bounds[name]; + if (!bounds) { + bounds = this._bounds[name] = Path[name]( + [this._segment1, this._segment2], false, this._path); + } + return bounds.clone(); + }; + }, +{ + +}), Base.each({ + isStraight: function(p1, h1, h2, p2) { + if (h1.isZero() && h2.isZero()) { + return true; + } else { + var v = p2.subtract(p1); + if (v.isZero()) { + return false; + } else if (v.isCollinear(h1) && v.isCollinear(h2)) { + var l = new Line(p1, p2), + epsilon = 1e-7; + if (l.getDistance(p1.add(h1)) < epsilon && + l.getDistance(p2.add(h2)) < epsilon) { + var div = v.dot(v), + s1 = v.dot(h1) / div, + s2 = v.dot(h2) / div; + return s1 >= 0 && s1 <= 1 && s2 <= 0 && s2 >= -1; + } + } + } + return false; + }, + + isLinear: function(p1, h1, h2, p2) { + var third = p2.subtract(p1).divide(3); + return h1.equals(third) && h2.negate().equals(third); + } +}, function(test, name) { + this[name] = function(epsilon) { + var seg1 = this._segment1, + seg2 = this._segment2; + return test(seg1._point, seg1._handleOut, seg2._handleIn, seg2._point, + epsilon); + }; + + this.statics[name] = function(v, epsilon) { + var x0 = v[0], y0 = v[1], + x3 = v[6], y3 = v[7]; + return test( + new Point(x0, y0), + new Point(v[2] - x0, v[3] - y0), + new Point(v[4] - x3, v[5] - y3), + new Point(x3, y3), epsilon); + }; +}, { + statics: {}, + + hasHandles: function() { + return !this._segment1._handleOut.isZero() + || !this._segment2._handleIn.isZero(); + }, + + hasLength: function(epsilon) { + return (!this.getPoint1().equals(this.getPoint2()) || this.hasHandles()) + && this.getLength() > (epsilon || 0); + }, + + isCollinear: function(curve) { + return curve && this.isStraight() && curve.isStraight() + && this.getLine().isCollinear(curve.getLine()); + }, + + isHorizontal: function() { + return this.isStraight() && Math.abs(this.getTangentAtTime(0.5).y) + < 1e-8; + }, + + isVertical: function() { + return this.isStraight() && Math.abs(this.getTangentAtTime(0.5).x) + < 1e-8; + } +}), { + beans: false, + + getLocationAt: function(offset, _isTime) { + return this.getLocationAtTime( + _isTime ? offset : this.getTimeAt(offset)); + }, + + getLocationAtTime: function(t) { + return t != null && t >= 0 && t <= 1 + ? new CurveLocation(this, t) + : null; + }, + + getTimeAt: function(offset, start) { + return Curve.getTimeAt(this.getValues(), offset, start); + }, + + getParameterAt: '#getTimeAt', + + getTimesWithTangent: function () { + var tangent = Point.read(arguments); + return tangent.isZero() + ? [] + : Curve.getTimesWithTangent(this.getValues(), tangent); + }, + + getOffsetAtTime: function(t) { + return this.getPartLength(0, t); + }, + + getLocationOf: function() { + return this.getLocationAtTime(this.getTimeOf(Point.read(arguments))); + }, + + getOffsetOf: function() { + var loc = this.getLocationOf.apply(this, arguments); + return loc ? loc.getOffset() : null; + }, + + getTimeOf: function() { + return Curve.getTimeOf(this.getValues(), Point.read(arguments)); + }, + + getParameterOf: '#getTimeOf', + + getNearestLocation: function() { + var point = Point.read(arguments), + values = this.getValues(), + t = Curve.getNearestTime(values, point), + pt = Curve.getPoint(values, t); + return new CurveLocation(this, t, pt, null, point.getDistance(pt)); + }, + + getNearestPoint: function() { + var loc = this.getNearestLocation.apply(this, arguments); + return loc ? loc.getPoint() : loc; + } + +}, +new function() { + var methods = ['getPoint', 'getTangent', 'getNormal', 'getWeightedTangent', + 'getWeightedNormal', 'getCurvature']; + return Base.each(methods, + function(name) { + this[name + 'At'] = function(location, _isTime) { + var values = this.getValues(); + return Curve[name](values, _isTime ? location + : Curve.getTimeAt(values, location)); + }; + + this[name + 'AtTime'] = function(time) { + return Curve[name](this.getValues(), time); + }; + }, { + statics: { + _evaluateMethods: methods + } + } + ); +}, +new function() { + + function getLengthIntegrand(v) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + + ax = 9 * (x1 - x2) + 3 * (x3 - x0), + bx = 6 * (x0 + x2) - 12 * x1, + cx = 3 * (x1 - x0), + + ay = 9 * (y1 - y2) + 3 * (y3 - y0), + by = 6 * (y0 + y2) - 12 * y1, + cy = 3 * (y1 - y0); + + return function(t) { + var dx = (ax * t + bx) * t + cx, + dy = (ay * t + by) * t + cy; + return Math.sqrt(dx * dx + dy * dy); + }; + } + + function getIterations(a, b) { + return Math.max(2, Math.min(16, Math.ceil(Math.abs(b - a) * 32))); + } + + function evaluate(v, t, type, normalized) { + if (t == null || t < 0 || t > 1) + return null; + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + isZero = Numerical.isZero; + if (isZero(x1 - x0) && isZero(y1 - y0)) { + x1 = x0; + y1 = y0; + } + if (isZero(x2 - x3) && isZero(y2 - y3)) { + x2 = x3; + y2 = y3; + } + var cx = 3 * (x1 - x0), + bx = 3 * (x2 - x1) - cx, + ax = x3 - x0 - cx - bx, + cy = 3 * (y1 - y0), + by = 3 * (y2 - y1) - cy, + ay = y3 - y0 - cy - by, + x, y; + if (type === 0) { + x = t === 0 ? x0 : t === 1 ? x3 + : ((ax * t + bx) * t + cx) * t + x0; + y = t === 0 ? y0 : t === 1 ? y3 + : ((ay * t + by) * t + cy) * t + y0; + } else { + var tMin = 1e-8, + tMax = 1 - tMin; + if (t < tMin) { + x = cx; + y = cy; + } else if (t > tMax) { + x = 3 * (x3 - x2); + y = 3 * (y3 - y2); + } else { + x = (3 * ax * t + 2 * bx) * t + cx; + y = (3 * ay * t + 2 * by) * t + cy; + } + if (normalized) { + if (x === 0 && y === 0 && (t < tMin || t > tMax)) { + x = x2 - x1; + y = y2 - y1; + } + var len = Math.sqrt(x * x + y * y); + if (len) { + x /= len; + y /= len; + } + } + if (type === 3) { + var x2 = 6 * ax * t + 2 * bx, + y2 = 6 * ay * t + 2 * by, + d = Math.pow(x * x + y * y, 3 / 2); + x = d !== 0 ? (x * y2 - y * x2) / d : 0; + y = 0; + } + } + return type === 2 ? new Point(y, -x) : new Point(x, y); + } + + return { statics: { + + classify: function(v) { + + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + a1 = x0 * (y3 - y2) + y0 * (x2 - x3) + x3 * y2 - y3 * x2, + a2 = x1 * (y0 - y3) + y1 * (x3 - x0) + x0 * y3 - y0 * x3, + a3 = x2 * (y1 - y0) + y2 * (x0 - x1) + x1 * y0 - y1 * x0, + d3 = 3 * a3, + d2 = d3 - a2, + d1 = d2 - a2 + a1, + l = Math.sqrt(d1 * d1 + d2 * d2 + d3 * d3), + s = l !== 0 ? 1 / l : 0, + isZero = Numerical.isZero, + serpentine = 'serpentine'; + d1 *= s; + d2 *= s; + d3 *= s; + + function type(type, t1, t2) { + var hasRoots = t1 !== undefined, + t1Ok = hasRoots && t1 > 0 && t1 < 1, + t2Ok = hasRoots && t2 > 0 && t2 < 1; + if (hasRoots && (!(t1Ok || t2Ok) + || type === 'loop' && !(t1Ok && t2Ok))) { + type = 'arch'; + t1Ok = t2Ok = false; + } + return { + type: type, + roots: t1Ok || t2Ok + ? t1Ok && t2Ok + ? t1 < t2 ? [t1, t2] : [t2, t1] + : [t1Ok ? t1 : t2] + : null + }; + } + + if (isZero(d1)) { + return isZero(d2) + ? type(isZero(d3) ? 'line' : 'quadratic') + : type(serpentine, d3 / (3 * d2)); + } + var d = 3 * d2 * d2 - 4 * d1 * d3; + if (isZero(d)) { + return type('cusp', d2 / (2 * d1)); + } + var f1 = d > 0 ? Math.sqrt(d / 3) : Math.sqrt(-d), + f2 = 2 * d1; + return type(d > 0 ? serpentine : 'loop', + (d2 + f1) / f2, + (d2 - f1) / f2); + }, + + getLength: function(v, a, b, ds) { + if (a === undefined) + a = 0; + if (b === undefined) + b = 1; + if (Curve.isStraight(v)) { + var c = v; + if (b < 1) { + c = Curve.subdivide(c, b)[0]; + a /= b; + } + if (a > 0) { + c = Curve.subdivide(c, a)[1]; + } + var dx = c[6] - c[0], + dy = c[7] - c[1]; + return Math.sqrt(dx * dx + dy * dy); + } + return Numerical.integrate(ds || getLengthIntegrand(v), a, b, + getIterations(a, b)); + }, + + getTimeAt: function(v, offset, start) { + if (start === undefined) + start = offset < 0 ? 1 : 0; + if (offset === 0) + return start; + var abs = Math.abs, + epsilon = 1e-12, + forward = offset > 0, + a = forward ? start : 0, + b = forward ? 1 : start, + ds = getLengthIntegrand(v), + rangeLength = Curve.getLength(v, a, b, ds), + diff = abs(offset) - rangeLength; + if (abs(diff) < epsilon) { + return forward ? b : a; + } else if (diff > epsilon) { + return null; + } + var guess = offset / rangeLength, + length = 0; + function f(t) { + length += Numerical.integrate(ds, start, t, + getIterations(start, t)); + start = t; + return length - offset; + } + return Numerical.findRoot(f, ds, start + guess, a, b, 32, + 1e-12); + }, + + getPoint: function(v, t) { + return evaluate(v, t, 0, false); + }, + + getTangent: function(v, t) { + return evaluate(v, t, 1, true); + }, + + getWeightedTangent: function(v, t) { + return evaluate(v, t, 1, false); + }, + + getNormal: function(v, t) { + return evaluate(v, t, 2, true); + }, + + getWeightedNormal: function(v, t) { + return evaluate(v, t, 2, false); + }, + + getCurvature: function(v, t) { + return evaluate(v, t, 3, false).x; + }, + + getPeaks: function(v) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + ax = -x0 + 3 * x1 - 3 * x2 + x3, + bx = 3 * x0 - 6 * x1 + 3 * x2, + cx = -3 * x0 + 3 * x1, + ay = -y0 + 3 * y1 - 3 * y2 + y3, + by = 3 * y0 - 6 * y1 + 3 * y2, + cy = -3 * y0 + 3 * y1, + tMin = 1e-8, + tMax = 1 - tMin, + roots = []; + Numerical.solveCubic( + 9 * (ax * ax + ay * ay), + 9 * (ax * bx + by * ay), + 2 * (bx * bx + by * by) + 3 * (cx * ax + cy * ay), + (cx * bx + by * cy), + roots, tMin, tMax); + return roots.sort(); + } + }}; +}, +new function() { + + function addLocation(locations, include, c1, t1, c2, t2, overlap) { + var excludeStart = !overlap && c1.getPrevious() === c2, + excludeEnd = !overlap && c1 !== c2 && c1.getNext() === c2, + tMin = 1e-8, + tMax = 1 - tMin; + if (t1 !== null && t1 >= (excludeStart ? tMin : 0) && + t1 <= (excludeEnd ? tMax : 1)) { + if (t2 !== null && t2 >= (excludeEnd ? tMin : 0) && + t2 <= (excludeStart ? tMax : 1)) { + var loc1 = new CurveLocation(c1, t1, null, overlap), + loc2 = new CurveLocation(c2, t2, null, overlap); + loc1._intersection = loc2; + loc2._intersection = loc1; + if (!include || include(loc1)) { + CurveLocation.insert(locations, loc1, true); + } + } + } + } + + function addCurveIntersections(v1, v2, c1, c2, locations, include, flip, + recursion, calls, tMin, tMax, uMin, uMax) { + if (++calls >= 4096 || ++recursion >= 40) + return calls; + var fatLineEpsilon = 1e-9, + q0x = v2[0], q0y = v2[1], q3x = v2[6], q3y = v2[7], + getSignedDistance = Line.getSignedDistance, + d1 = getSignedDistance(q0x, q0y, q3x, q3y, v2[2], v2[3]), + d2 = getSignedDistance(q0x, q0y, q3x, q3y, v2[4], v2[5]), + factor = d1 * d2 > 0 ? 3 / 4 : 4 / 9, + dMin = factor * Math.min(0, d1, d2), + dMax = factor * Math.max(0, d1, d2), + dp0 = getSignedDistance(q0x, q0y, q3x, q3y, v1[0], v1[1]), + dp1 = getSignedDistance(q0x, q0y, q3x, q3y, v1[2], v1[3]), + dp2 = getSignedDistance(q0x, q0y, q3x, q3y, v1[4], v1[5]), + dp3 = getSignedDistance(q0x, q0y, q3x, q3y, v1[6], v1[7]), + hull = getConvexHull(dp0, dp1, dp2, dp3), + top = hull[0], + bottom = hull[1], + tMinClip, + tMaxClip; + if (d1 === 0 && d2 === 0 + && dp0 === 0 && dp1 === 0 && dp2 === 0 && dp3 === 0 + || (tMinClip = clipConvexHull(top, bottom, dMin, dMax)) == null + || (tMaxClip = clipConvexHull(top.reverse(), bottom.reverse(), + dMin, dMax)) == null) + return calls; + var tMinNew = tMin + (tMax - tMin) * tMinClip, + tMaxNew = tMin + (tMax - tMin) * tMaxClip; + if (Math.max(uMax - uMin, tMaxNew - tMinNew) < fatLineEpsilon) { + var t = (tMinNew + tMaxNew) / 2, + u = (uMin + uMax) / 2; + addLocation(locations, include, + flip ? c2 : c1, flip ? u : t, + flip ? c1 : c2, flip ? t : u); + } else { + v1 = Curve.getPart(v1, tMinClip, tMaxClip); + if (tMaxClip - tMinClip > 0.8) { + if (tMaxNew - tMinNew > uMax - uMin) { + var parts = Curve.subdivide(v1, 0.5), + t = (tMinNew + tMaxNew) / 2; + calls = addCurveIntersections( + v2, parts[0], c2, c1, locations, include, !flip, + recursion, calls, uMin, uMax, tMinNew, t); + calls = addCurveIntersections( + v2, parts[1], c2, c1, locations, include, !flip, + recursion, calls, uMin, uMax, t, tMaxNew); + } else { + var parts = Curve.subdivide(v2, 0.5), + u = (uMin + uMax) / 2; + calls = addCurveIntersections( + parts[0], v1, c2, c1, locations, include, !flip, + recursion, calls, uMin, u, tMinNew, tMaxNew); + calls = addCurveIntersections( + parts[1], v1, c2, c1, locations, include, !flip, + recursion, calls, u, uMax, tMinNew, tMaxNew); + } + } else { + if (uMax - uMin >= fatLineEpsilon) { + calls = addCurveIntersections( + v2, v1, c2, c1, locations, include, !flip, + recursion, calls, uMin, uMax, tMinNew, tMaxNew); + } else { + calls = addCurveIntersections( + v1, v2, c1, c2, locations, include, flip, + recursion, calls, tMinNew, tMaxNew, uMin, uMax); + } + } + } + return calls; + } + + function getConvexHull(dq0, dq1, dq2, dq3) { + var p0 = [ 0, dq0 ], + p1 = [ 1 / 3, dq1 ], + p2 = [ 2 / 3, dq2 ], + p3 = [ 1, dq3 ], + dist1 = dq1 - (2 * dq0 + dq3) / 3, + dist2 = dq2 - (dq0 + 2 * dq3) / 3, + hull; + if (dist1 * dist2 < 0) { + hull = [[p0, p1, p3], [p0, p2, p3]]; + } else { + var distRatio = dist1 / dist2; + hull = [ + distRatio >= 2 ? [p0, p1, p3] + : distRatio <= 0.5 ? [p0, p2, p3] + : [p0, p1, p2, p3], + [p0, p3] + ]; + } + return (dist1 || dist2) < 0 ? hull.reverse() : hull; + } + + function clipConvexHull(hullTop, hullBottom, dMin, dMax) { + if (hullTop[0][1] < dMin) { + return clipConvexHullPart(hullTop, true, dMin); + } else if (hullBottom[0][1] > dMax) { + return clipConvexHullPart(hullBottom, false, dMax); + } else { + return hullTop[0][0]; + } + } + + function clipConvexHullPart(part, top, threshold) { + var px = part[0][0], + py = part[0][1]; + for (var i = 1, l = part.length; i < l; i++) { + var qx = part[i][0], + qy = part[i][1]; + if (top ? qy >= threshold : qy <= threshold) { + return qy === threshold ? qx + : px + (threshold - py) * (qx - px) / (qy - py); + } + px = qx; + py = qy; + } + return null; + } + + function getCurveLineIntersections(v, px, py, vx, vy) { + var isZero = Numerical.isZero; + if (isZero(vx) && isZero(vy)) { + var t = Curve.getTimeOf(v, new Point(px, py)); + return t === null ? [] : [t]; + } + var angle = Math.atan2(-vy, vx), + sin = Math.sin(angle), + cos = Math.cos(angle), + rv = [], + roots = []; + for (var i = 0; i < 8; i += 2) { + var x = v[i] - px, + y = v[i + 1] - py; + rv.push( + x * cos - y * sin, + x * sin + y * cos); + } + Curve.solveCubic(rv, 1, 0, roots, 0, 1); + return roots; + } + + function addCurveLineIntersections(v1, v2, c1, c2, locations, include, + flip) { + var x1 = v2[0], y1 = v2[1], + x2 = v2[6], y2 = v2[7], + roots = getCurveLineIntersections(v1, x1, y1, x2 - x1, y2 - y1); + for (var i = 0, l = roots.length; i < l; i++) { + var t1 = roots[i], + p1 = Curve.getPoint(v1, t1), + t2 = Curve.getTimeOf(v2, p1); + if (t2 !== null) { + addLocation(locations, include, + flip ? c2 : c1, flip ? t2 : t1, + flip ? c1 : c2, flip ? t1 : t2); + } + } + } + + function addLineIntersection(v1, v2, c1, c2, locations, include) { + var pt = Line.intersect( + v1[0], v1[1], v1[6], v1[7], + v2[0], v2[1], v2[6], v2[7]); + if (pt) { + addLocation(locations, include, + c1, Curve.getTimeOf(v1, pt), + c2, Curve.getTimeOf(v2, pt)); + } + } + + function getCurveIntersections(v1, v2, c1, c2, locations, include) { + var epsilon = 1e-12, + min = Math.min, + max = Math.max; + + if (max(v1[0], v1[2], v1[4], v1[6]) + epsilon > + min(v2[0], v2[2], v2[4], v2[6]) && + min(v1[0], v1[2], v1[4], v1[6]) - epsilon < + max(v2[0], v2[2], v2[4], v2[6]) && + max(v1[1], v1[3], v1[5], v1[7]) + epsilon > + min(v2[1], v2[3], v2[5], v2[7]) && + min(v1[1], v1[3], v1[5], v1[7]) - epsilon < + max(v2[1], v2[3], v2[5], v2[7])) { + var overlaps = getOverlaps(v1, v2); + if (overlaps) { + for (var i = 0; i < 2; i++) { + var overlap = overlaps[i]; + addLocation(locations, include, + c1, overlap[0], + c2, overlap[1], true); + } + } else { + var straight1 = Curve.isStraight(v1), + straight2 = Curve.isStraight(v2), + straight = straight1 && straight2, + flip = straight1 && !straight2, + before = locations.length; + (straight + ? addLineIntersection + : straight1 || straight2 + ? addCurveLineIntersections + : addCurveIntersections)( + flip ? v2 : v1, flip ? v1 : v2, + flip ? c2 : c1, flip ? c1 : c2, + locations, include, flip, + 0, 0, 0, 1, 0, 1); + if (!straight || locations.length === before) { + for (var i = 0; i < 4; i++) { + var t1 = i >> 1, + t2 = i & 1, + i1 = t1 * 6, + i2 = t2 * 6, + p1 = new Point(v1[i1], v1[i1 + 1]), + p2 = new Point(v2[i2], v2[i2 + 1]); + if (p1.isClose(p2, epsilon)) { + addLocation(locations, include, + c1, t1, + c2, t2); + } + } + } + } + } + return locations; + } + + function getLoopIntersection(v1, c1, locations, include) { + var info = Curve.classify(v1); + if (info.type === 'loop') { + var roots = info.roots; + addLocation(locations, include, + c1, roots[0], + c1, roots[1]); + } + return locations; + } + + function getIntersections(curves1, curves2, include, matrix1, matrix2, + _returnFirst) { + var self = !curves2; + if (self) + curves2 = curves1; + var length1 = curves1.length, + length2 = curves2.length, + values2 = [], + arrays = [], + locations, + current; + for (var i = 0; i < length2; i++) + values2[i] = curves2[i].getValues(matrix2); + for (var i = 0; i < length1; i++) { + var curve1 = curves1[i], + values1 = self ? values2[i] : curve1.getValues(matrix1), + path1 = curve1.getPath(); + if (path1 !== current) { + current = path1; + locations = []; + arrays.push(locations); + } + if (self) { + getLoopIntersection(values1, curve1, locations, include); + } + for (var j = self ? i + 1 : 0; j < length2; j++) { + if (_returnFirst && locations.length) + return locations; + getCurveIntersections(values1, values2[j], curve1, curves2[j], + locations, include); + } + } + locations = []; + for (var i = 0, l = arrays.length; i < l; i++) { + Base.push(locations, arrays[i]); + } + return locations; + } + + function getOverlaps(v1, v2) { + + function getSquaredLineLength(v) { + var x = v[6] - v[0], + y = v[7] - v[1]; + return x * x + y * y; + } + + var abs = Math.abs, + getDistance = Line.getDistance, + timeEpsilon = 1e-8, + geomEpsilon = 1e-7, + straight1 = Curve.isStraight(v1), + straight2 = Curve.isStraight(v2), + straightBoth = straight1 && straight2, + flip = getSquaredLineLength(v1) < getSquaredLineLength(v2), + l1 = flip ? v2 : v1, + l2 = flip ? v1 : v2, + px = l1[0], py = l1[1], + vx = l1[6] - px, vy = l1[7] - py; + if (getDistance(px, py, vx, vy, l2[0], l2[1], true) < geomEpsilon && + getDistance(px, py, vx, vy, l2[6], l2[7], true) < geomEpsilon) { + if (!straightBoth && + getDistance(px, py, vx, vy, l1[2], l1[3], true) < geomEpsilon && + getDistance(px, py, vx, vy, l1[4], l1[5], true) < geomEpsilon && + getDistance(px, py, vx, vy, l2[2], l2[3], true) < geomEpsilon && + getDistance(px, py, vx, vy, l2[4], l2[5], true) < geomEpsilon) { + straight1 = straight2 = straightBoth = true; + } + } else if (straightBoth) { + return null; + } + if (straight1 ^ straight2) { + return null; + } + + var v = [v1, v2], + pairs = []; + for (var i = 0; i < 4 && pairs.length < 2; i++) { + var i1 = i & 1, + i2 = i1 ^ 1, + t1 = i >> 1, + t2 = Curve.getTimeOf(v[i1], new Point( + v[i2][t1 ? 6 : 0], + v[i2][t1 ? 7 : 1])); + if (t2 != null) { + var pair = i1 ? [t1, t2] : [t2, t1]; + if (!pairs.length || + abs(pair[0] - pairs[0][0]) > timeEpsilon && + abs(pair[1] - pairs[0][1]) > timeEpsilon) { + pairs.push(pair); + } + } + if (i > 2 && !pairs.length) + break; + } + if (pairs.length !== 2) { + pairs = null; + } else if (!straightBoth) { + var o1 = Curve.getPart(v1, pairs[0][0], pairs[1][0]), + o2 = Curve.getPart(v2, pairs[0][1], pairs[1][1]); + if (abs(o2[2] - o1[2]) > geomEpsilon || + abs(o2[3] - o1[3]) > geomEpsilon || + abs(o2[4] - o1[4]) > geomEpsilon || + abs(o2[5] - o1[5]) > geomEpsilon) + pairs = null; + } + return pairs; + } + + function getTimesWithTangent(v, tangent) { + var x0 = v[0], y0 = v[1], + x1 = v[2], y1 = v[3], + x2 = v[4], y2 = v[5], + x3 = v[6], y3 = v[7], + normalized = tangent.normalize(), + tx = normalized.x, + ty = normalized.y, + ax = 3 * x3 - 9 * x2 + 9 * x1 - 3 * x0, + ay = 3 * y3 - 9 * y2 + 9 * y1 - 3 * y0, + bx = 6 * x2 - 12 * x1 + 6 * x0, + by = 6 * y2 - 12 * y1 + 6 * y0, + cx = 3 * x1 - 3 * x0, + cy = 3 * y1 - 3 * y0, + den = 2 * ax * ty - 2 * ay * tx, + times = []; + if (Math.abs(den) < Numerical.CURVETIME_EPSILON) { + var num = ax * cy - ay * cx, + den = ax * by - ay * bx; + if (den != 0) { + var t = -num / den; + if (t >= 0 && t <= 1) times.push(t); + } + } else { + var delta = (bx * bx - 4 * ax * cx) * ty * ty + + (-2 * bx * by + 4 * ay * cx + 4 * ax * cy) * tx * ty + + (by * by - 4 * ay * cy) * tx * tx, + k = bx * ty - by * tx; + if (delta >= 0 && den != 0) { + var d = Math.sqrt(delta), + t0 = -(k + d) / den, + t1 = (-k + d) / den; + if (t0 >= 0 && t0 <= 1) times.push(t0); + if (t1 >= 0 && t1 <= 1) times.push(t1); + } + } + return times; + } + + return { + getIntersections: function(curve) { + var v1 = this.getValues(), + v2 = curve && curve !== this && curve.getValues(); + return v2 ? getCurveIntersections(v1, v2, this, curve, []) + : getLoopIntersection(v1, this, []); + }, + + statics: { + getOverlaps: getOverlaps, + getIntersections: getIntersections, + getCurveLineIntersections: getCurveLineIntersections, + getTimesWithTangent: getTimesWithTangent + } + }; +}); + +var CurveLocation = Base.extend({ + _class: 'CurveLocation', + + initialize: function CurveLocation(curve, time, point, _overlap, _distance) { + if (time >= 0.99999999) { + var next = curve.getNext(); + if (next) { + time = 0; + curve = next; + } + } + this._setCurve(curve); + this._time = time; + this._point = point || curve.getPointAtTime(time); + this._overlap = _overlap; + this._distance = _distance; + this._intersection = this._next = this._previous = null; + }, + + _setCurve: function(curve) { + var path = curve._path; + this._path = path; + this._version = path ? path._version : 0; + this._curve = curve; + this._segment = null; + this._segment1 = curve._segment1; + this._segment2 = curve._segment2; + }, + + _setSegment: function(segment) { + this._setCurve(segment.getCurve()); + this._segment = segment; + this._time = segment === this._segment1 ? 0 : 1; + this._point = segment._point.clone(); + }, + + getSegment: function() { + var segment = this._segment; + if (!segment) { + var curve = this.getCurve(), + time = this.getTime(); + if (time === 0) { + segment = curve._segment1; + } else if (time === 1) { + segment = curve._segment2; + } else if (time != null) { + segment = curve.getPartLength(0, time) + < curve.getPartLength(time, 1) + ? curve._segment1 + : curve._segment2; + } + this._segment = segment; + } + return segment; + }, + + getCurve: function() { + var path = this._path, + that = this; + if (path && path._version !== this._version) { + this._time = this._offset = this._curveOffset = this._curve = null; + } + + function trySegment(segment) { + var curve = segment && segment.getCurve(); + if (curve && (that._time = curve.getTimeOf(that._point)) != null) { + that._setCurve(curve); + return curve; + } + } + + return this._curve + || trySegment(this._segment) + || trySegment(this._segment1) + || trySegment(this._segment2.getPrevious()); + }, + + getPath: function() { + var curve = this.getCurve(); + return curve && curve._path; + }, + + getIndex: function() { + var curve = this.getCurve(); + return curve && curve.getIndex(); + }, + + getTime: function() { + var curve = this.getCurve(), + time = this._time; + return curve && time == null + ? this._time = curve.getTimeOf(this._point) + : time; + }, + + getParameter: '#getTime', + + getPoint: function() { + return this._point; + }, + + getOffset: function() { + var offset = this._offset; + if (offset == null) { + offset = 0; + var path = this.getPath(), + index = this.getIndex(); + if (path && index != null) { + var curves = path.getCurves(); + for (var i = 0; i < index; i++) + offset += curves[i].getLength(); + } + this._offset = offset += this.getCurveOffset(); + } + return offset; + }, + + getCurveOffset: function() { + var offset = this._curveOffset; + if (offset == null) { + var curve = this.getCurve(), + time = this.getTime(); + this._curveOffset = offset = time != null && curve + && curve.getPartLength(0, time); + } + return offset; + }, + + getIntersection: function() { + return this._intersection; + }, + + getDistance: function() { + return this._distance; + }, + + divide: function() { + var curve = this.getCurve(), + res = curve && curve.divideAtTime(this.getTime()); + if (res) { + this._setSegment(res._segment1); + } + return res; + }, + + split: function() { + var curve = this.getCurve(), + path = curve._path, + res = curve && curve.splitAtTime(this.getTime()); + if (res) { + this._setSegment(path.getLastSegment()); + } + return res; + }, + + equals: function(loc, _ignoreOther) { + var res = this === loc; + if (!res && loc instanceof CurveLocation) { + var c1 = this.getCurve(), + c2 = loc.getCurve(), + p1 = c1._path, + p2 = c2._path; + if (p1 === p2) { + var abs = Math.abs, + epsilon = 1e-7, + diff = abs(this.getOffset() - loc.getOffset()), + i1 = !_ignoreOther && this._intersection, + i2 = !_ignoreOther && loc._intersection; + res = (diff < epsilon + || p1 && abs(p1.getLength() - diff) < epsilon) + && (!i1 && !i2 || i1 && i2 && i1.equals(i2, true)); + } + } + return res; + }, + + toString: function() { + var parts = [], + point = this.getPoint(), + f = Formatter.instance; + if (point) + parts.push('point: ' + point); + var index = this.getIndex(); + if (index != null) + parts.push('index: ' + index); + var time = this.getTime(); + if (time != null) + parts.push('time: ' + f.number(time)); + if (this._distance != null) + parts.push('distance: ' + f.number(this._distance)); + return '{ ' + parts.join(', ') + ' }'; + }, + + isTouching: function() { + var inter = this._intersection; + if (inter && this.getTangent().isCollinear(inter.getTangent())) { + var curve1 = this.getCurve(), + curve2 = inter.getCurve(); + return !(curve1.isStraight() && curve2.isStraight() + && curve1.getLine().intersect(curve2.getLine())); + } + return false; + }, + + isCrossing: function() { + var inter = this._intersection; + if (!inter) + return false; + var t1 = this.getTime(), + t2 = inter.getTime(), + tMin = 1e-8, + tMax = 1 - tMin, + t1Inside = t1 >= tMin && t1 <= tMax, + t2Inside = t2 >= tMin && t2 <= tMax; + if (t1Inside && t2Inside) + return !this.isTouching(); + var c2 = this.getCurve(), + c1 = t1 < tMin ? c2.getPrevious() : c2, + c4 = inter.getCurve(), + c3 = t2 < tMin ? c4.getPrevious() : c4; + if (t1 > tMax) + c2 = c2.getNext(); + if (t2 > tMax) + c4 = c4.getNext(); + if (!c1 || !c2 || !c3 || !c4) + return false; + + var offsets = []; + + function addOffsets(curve, end) { + var v = curve.getValues(), + roots = Curve.classify(v).roots || Curve.getPeaks(v), + count = roots.length, + t = end && count > 1 ? roots[count - 1] + : count > 0 ? roots[0] + : 0.5; + offsets.push(Curve.getLength(v, end ? t : 0, end ? 1 : t) / 2); + } + + function isInRange(angle, min, max) { + return min < max + ? angle > min && angle < max + : angle > min || angle < max; + } + + if (!t1Inside) { + addOffsets(c1, true); + addOffsets(c2, false); + } + if (!t2Inside) { + addOffsets(c3, true); + addOffsets(c4, false); + } + var pt = this.getPoint(), + offset = Math.min.apply(Math, offsets), + v2 = t1Inside ? c2.getTangentAtTime(t1) + : c2.getPointAt(offset).subtract(pt), + v1 = t1Inside ? v2.negate() + : c1.getPointAt(-offset).subtract(pt), + v4 = t2Inside ? c4.getTangentAtTime(t2) + : c4.getPointAt(offset).subtract(pt), + v3 = t2Inside ? v4.negate() + : c3.getPointAt(-offset).subtract(pt), + a1 = v1.getAngle(), + a2 = v2.getAngle(), + a3 = v3.getAngle(), + a4 = v4.getAngle(); + return !!(t1Inside + ? (isInRange(a1, a3, a4) ^ isInRange(a2, a3, a4)) && + (isInRange(a1, a4, a3) ^ isInRange(a2, a4, a3)) + : (isInRange(a3, a1, a2) ^ isInRange(a4, a1, a2)) && + (isInRange(a3, a2, a1) ^ isInRange(a4, a2, a1))); + }, + + hasOverlap: function() { + return !!this._overlap; + } +}, Base.each(Curve._evaluateMethods, function(name) { + var get = name + 'At'; + this[name] = function() { + var curve = this.getCurve(), + time = this.getTime(); + return time != null && curve && curve[get](time, true); + }; +}, { + preserve: true +}), +new function() { + + function insert(locations, loc, merge) { + var length = locations.length, + l = 0, + r = length - 1; + + function search(index, dir) { + for (var i = index + dir; i >= -1 && i <= length; i += dir) { + var loc2 = locations[((i % length) + length) % length]; + if (!loc.getPoint().isClose(loc2.getPoint(), + 1e-7)) + break; + if (loc.equals(loc2)) + return loc2; + } + return null; + } + + while (l <= r) { + var m = (l + r) >>> 1, + loc2 = locations[m], + found; + if (merge && (found = loc.equals(loc2) ? loc2 + : (search(m, -1) || search(m, 1)))) { + if (loc._overlap) { + found._overlap = found._intersection._overlap = true; + } + return found; + } + var path1 = loc.getPath(), + path2 = loc2.getPath(), + diff = path1 !== path2 + ? path1._id - path2._id + : (loc.getIndex() + loc.getTime()) + - (loc2.getIndex() + loc2.getTime()); + if (diff < 0) { + r = m - 1; + } else { + l = m + 1; + } + } + locations.splice(l, 0, loc); + return loc; + } + + return { statics: { + insert: insert, + + expand: function(locations) { + var expanded = locations.slice(); + for (var i = locations.length - 1; i >= 0; i--) { + insert(expanded, locations[i]._intersection, false); + } + return expanded; + } + }}; +}); + +var PathItem = Item.extend({ + _class: 'PathItem', + _selectBounds: false, + _canScaleStroke: true, + beans: true, + + initialize: function PathItem() { + }, + + statics: { + create: function(arg) { + var data, + segments, + compound; + if (Base.isPlainObject(arg)) { + segments = arg.segments; + data = arg.pathData; + } else if (Array.isArray(arg)) { + segments = arg; + } else if (typeof arg === 'string') { + data = arg; + } + if (segments) { + var first = segments[0]; + compound = first && Array.isArray(first[0]); + } else if (data) { + compound = (data.match(/m/gi) || []).length > 1 + || /z\s*\S+/i.test(data); + } + var ctor = compound ? CompoundPath : Path; + return new ctor(arg); + } + }, + + _asPathItem: function() { + return this; + }, + + isClockwise: function() { + return this.getArea() >= 0; + }, + + setClockwise: function(clockwise) { + if (this.isClockwise() != (clockwise = !!clockwise)) + this.reverse(); + }, + + setPathData: function(data) { + + var parts = data && data.match(/[mlhvcsqtaz][^mlhvcsqtaz]*/ig), + coords, + relative = false, + previous, + control, + current = new Point(), + start = new Point(); + + function getCoord(index, coord) { + var val = +coords[index]; + if (relative) + val += current[coord]; + return val; + } + + function getPoint(index) { + return new Point( + getCoord(index, 'x'), + getCoord(index + 1, 'y') + ); + } + + this.clear(); + + for (var i = 0, l = parts && parts.length; i < l; i++) { + var part = parts[i], + command = part[0], + lower = command.toLowerCase(); + coords = part.match(/[+-]?(?:\d*\.\d+|\d+\.?)(?:[eE][+-]?\d+)?/g); + var length = coords && coords.length; + relative = command === lower; + if (previous === 'z' && !/[mz]/.test(lower)) + this.moveTo(current); + switch (lower) { + case 'm': + case 'l': + var move = lower === 'm'; + for (var j = 0; j < length; j += 2) { + this[move ? 'moveTo' : 'lineTo'](current = getPoint(j)); + if (move) { + start = current; + move = false; + } + } + control = current; + break; + case 'h': + case 'v': + var coord = lower === 'h' ? 'x' : 'y'; + current = current.clone(); + for (var j = 0; j < length; j++) { + current[coord] = getCoord(j, coord); + this.lineTo(current); + } + control = current; + break; + case 'c': + for (var j = 0; j < length; j += 6) { + this.cubicCurveTo( + getPoint(j), + control = getPoint(j + 2), + current = getPoint(j + 4)); + } + break; + case 's': + for (var j = 0; j < length; j += 4) { + this.cubicCurveTo( + /[cs]/.test(previous) + ? current.multiply(2).subtract(control) + : current, + control = getPoint(j), + current = getPoint(j + 2)); + previous = lower; + } + break; + case 'q': + for (var j = 0; j < length; j += 4) { + this.quadraticCurveTo( + control = getPoint(j), + current = getPoint(j + 2)); + } + break; + case 't': + for (var j = 0; j < length; j += 2) { + this.quadraticCurveTo( + control = (/[qt]/.test(previous) + ? current.multiply(2).subtract(control) + : current), + current = getPoint(j)); + previous = lower; + } + break; + case 'a': + for (var j = 0; j < length; j += 7) { + this.arcTo(current = getPoint(j + 5), + new Size(+coords[j], +coords[j + 1]), + +coords[j + 2], +coords[j + 4], +coords[j + 3]); + } + break; + case 'z': + this.closePath(1e-12); + current = start; + break; + } + previous = lower; + } + }, + + _canComposite: function() { + return !(this.hasFill() && this.hasStroke()); + }, + + _contains: function(point) { + var winding = point.isInside( + this.getBounds({ internal: true, handle: true })) + ? this._getWinding(point) + : {}; + return winding.onPath || !!(this.getFillRule() === 'evenodd' + ? winding.windingL & 1 || winding.windingR & 1 + : winding.winding); + }, + + getIntersections: function(path, include, _matrix, _returnFirst) { + var self = this === path || !path, + matrix1 = this._matrix._orNullIfIdentity(), + matrix2 = self ? matrix1 + : (_matrix || path._matrix)._orNullIfIdentity(); + return self || this.getBounds(matrix1).intersects( + path.getBounds(matrix2), 1e-12) + ? Curve.getIntersections( + this.getCurves(), !self && path.getCurves(), include, + matrix1, matrix2, _returnFirst) + : []; + }, + + getCrossings: function(path) { + return this.getIntersections(path, function(inter) { + return inter.hasOverlap() || inter.isCrossing(); + }); + }, + + getNearestLocation: function() { + var point = Point.read(arguments), + curves = this.getCurves(), + minDist = Infinity, + minLoc = null; + for (var i = 0, l = curves.length; i < l; i++) { + var loc = curves[i].getNearestLocation(point); + if (loc._distance < minDist) { + minDist = loc._distance; + minLoc = loc; + } + } + return minLoc; + }, + + getNearestPoint: function() { + var loc = this.getNearestLocation.apply(this, arguments); + return loc ? loc.getPoint() : loc; + }, + + interpolate: function(from, to, factor) { + var isPath = !this._children, + name = isPath ? '_segments' : '_children', + itemsFrom = from[name], + itemsTo = to[name], + items = this[name]; + if (!itemsFrom || !itemsTo || itemsFrom.length !== itemsTo.length) { + throw new Error('Invalid operands in interpolate() call: ' + + from + ', ' + to); + } + var current = items.length, + length = itemsTo.length; + if (current < length) { + var ctor = isPath ? Segment : Path; + for (var i = current; i < length; i++) { + this.add(new ctor()); + } + } else if (current > length) { + this[isPath ? 'removeSegments' : 'removeChildren'](length, current); + } + for (var i = 0; i < length; i++) { + items[i].interpolate(itemsFrom[i], itemsTo[i], factor); + } + if (isPath) { + this.setClosed(from._closed); + this._changed(9); + } + }, + + compare: function(path) { + var ok = false; + if (path) { + var paths1 = this._children || [this], + paths2 = path._children ? path._children.slice() : [path], + length1 = paths1.length, + length2 = paths2.length, + matched = [], + count = 0; + ok = true; + for (var i1 = length1 - 1; i1 >= 0 && ok; i1--) { + var path1 = paths1[i1]; + ok = false; + for (var i2 = length2 - 1; i2 >= 0 && !ok; i2--) { + if (path1.compare(paths2[i2])) { + if (!matched[i2]) { + matched[i2] = true; + count++; + } + ok = true; + } + } + } + ok = ok && count === length2; + } + return ok; + }, + +}); + +var Path = PathItem.extend({ + _class: 'Path', + _serializeFields: { + segments: [], + closed: false + }, + + initialize: function Path(arg) { + this._closed = false; + this._segments = []; + this._version = 0; + var segments = Array.isArray(arg) + ? typeof arg[0] === 'object' + ? arg + : arguments + : arg && (arg.size === undefined && (arg.x !== undefined + || arg.point !== undefined)) + ? arguments + : null; + if (segments && segments.length > 0) { + this.setSegments(segments); + } else { + this._curves = undefined; + this._segmentSelection = 0; + if (!segments && typeof arg === 'string') { + this.setPathData(arg); + arg = null; + } + } + this._initialize(!segments && arg); + }, + + _equals: function(item) { + return this._closed === item._closed + && Base.equals(this._segments, item._segments); + }, + + copyContent: function(source) { + this.setSegments(source._segments); + this._closed = source._closed; + }, + + _changed: function _changed(flags) { + _changed.base.call(this, flags); + if (flags & 8) { + this._length = this._area = undefined; + if (flags & 32) { + this._version++; + } else if (this._curves) { + for (var i = 0, l = this._curves.length; i < l; i++) + this._curves[i]._changed(); + } + } else if (flags & 64) { + this._bounds = undefined; + } + }, + + getStyle: function() { + var parent = this._parent; + return (parent instanceof CompoundPath ? parent : this)._style; + }, + + getSegments: function() { + return this._segments; + }, + + setSegments: function(segments) { + var fullySelected = this.isFullySelected(), + length = segments && segments.length; + this._segments.length = 0; + this._segmentSelection = 0; + this._curves = undefined; + if (length) { + var last = segments[length - 1]; + if (typeof last === 'boolean') { + this.setClosed(last); + length--; + } + this._add(Segment.readList(segments, 0, {}, length)); + } + if (fullySelected) + this.setFullySelected(true); + }, + + getFirstSegment: function() { + return this._segments[0]; + }, + + getLastSegment: function() { + return this._segments[this._segments.length - 1]; + }, + + getCurves: function() { + var curves = this._curves, + segments = this._segments; + if (!curves) { + var length = this._countCurves(); + curves = this._curves = new Array(length); + for (var i = 0; i < length; i++) + curves[i] = new Curve(this, segments[i], + segments[i + 1] || segments[0]); + } + return curves; + }, + + getFirstCurve: function() { + return this.getCurves()[0]; + }, + + getLastCurve: function() { + var curves = this.getCurves(); + return curves[curves.length - 1]; + }, + + isClosed: function() { + return this._closed; + }, + + setClosed: function(closed) { + if (this._closed != (closed = !!closed)) { + this._closed = closed; + if (this._curves) { + var length = this._curves.length = this._countCurves(); + if (closed) + this._curves[length - 1] = new Curve(this, + this._segments[length - 1], this._segments[0]); + } + this._changed(41); + } + } +}, { + beans: true, + + getPathData: function(_matrix, _precision) { + var segments = this._segments, + length = segments.length, + f = new Formatter(_precision), + coords = new Array(6), + first = true, + curX, curY, + prevX, prevY, + inX, inY, + outX, outY, + parts = []; + + function addSegment(segment, skipLine) { + segment._transformCoordinates(_matrix, coords); + curX = coords[0]; + curY = coords[1]; + if (first) { + parts.push('M' + f.pair(curX, curY)); + first = false; + } else { + inX = coords[2]; + inY = coords[3]; + if (inX === curX && inY === curY + && outX === prevX && outY === prevY) { + if (!skipLine) { + var dx = curX - prevX, + dy = curY - prevY; + parts.push( + dx === 0 ? 'v' + f.number(dy) + : dy === 0 ? 'h' + f.number(dx) + : 'l' + f.pair(dx, dy)); + } + } else { + parts.push('c' + f.pair(outX - prevX, outY - prevY) + + ' ' + f.pair( inX - prevX, inY - prevY) + + ' ' + f.pair(curX - prevX, curY - prevY)); + } + } + prevX = curX; + prevY = curY; + outX = coords[4]; + outY = coords[5]; + } + + if (!length) + return ''; + + for (var i = 0; i < length; i++) + addSegment(segments[i]); + if (this._closed && length > 0) { + addSegment(segments[0], true); + parts.push('z'); + } + return parts.join(''); + }, + + isEmpty: function() { + return !this._segments.length; + }, + + _transformContent: function(matrix) { + var segments = this._segments, + coords = new Array(6); + for (var i = 0, l = segments.length; i < l; i++) + segments[i]._transformCoordinates(matrix, coords, true); + return true; + }, + + _add: function(segs, index) { + var segments = this._segments, + curves = this._curves, + amount = segs.length, + append = index == null, + index = append ? segments.length : index; + for (var i = 0; i < amount; i++) { + var segment = segs[i]; + if (segment._path) + segment = segs[i] = segment.clone(); + segment._path = this; + segment._index = index + i; + if (segment._selection) + this._updateSelection(segment, 0, segment._selection); + } + if (append) { + Base.push(segments, segs); + } else { + segments.splice.apply(segments, [index, 0].concat(segs)); + for (var i = index + amount, l = segments.length; i < l; i++) + segments[i]._index = i; + } + if (curves) { + var total = this._countCurves(), + start = index > 0 && index + amount - 1 === total ? index - 1 + : index, + insert = start, + end = Math.min(start + amount, total); + if (segs._curves) { + curves.splice.apply(curves, [start, 0].concat(segs._curves)); + insert += segs._curves.length; + } + for (var i = insert; i < end; i++) + curves.splice(i, 0, new Curve(this, null, null)); + this._adjustCurves(start, end); + } + this._changed(41); + return segs; + }, + + _adjustCurves: function(start, end) { + var segments = this._segments, + curves = this._curves, + curve; + for (var i = start; i < end; i++) { + curve = curves[i]; + curve._path = this; + curve._segment1 = segments[i]; + curve._segment2 = segments[i + 1] || segments[0]; + curve._changed(); + } + if (curve = curves[this._closed && !start ? segments.length - 1 + : start - 1]) { + curve._segment2 = segments[start] || segments[0]; + curve._changed(); + } + if (curve = curves[end]) { + curve._segment1 = segments[end]; + curve._changed(); + } + }, + + _countCurves: function() { + var length = this._segments.length; + return !this._closed && length > 0 ? length - 1 : length; + }, + + add: function(segment1 ) { + return arguments.length > 1 && typeof segment1 !== 'number' + ? this._add(Segment.readList(arguments)) + : this._add([ Segment.read(arguments) ])[0]; + }, + + insert: function(index, segment1 ) { + return arguments.length > 2 && typeof segment1 !== 'number' + ? this._add(Segment.readList(arguments, 1), index) + : this._add([ Segment.read(arguments, 1) ], index)[0]; + }, + + addSegment: function() { + return this._add([ Segment.read(arguments) ])[0]; + }, + + insertSegment: function(index ) { + return this._add([ Segment.read(arguments, 1) ], index)[0]; + }, + + addSegments: function(segments) { + return this._add(Segment.readList(segments)); + }, + + insertSegments: function(index, segments) { + return this._add(Segment.readList(segments), index); + }, + + removeSegment: function(index) { + return this.removeSegments(index, index + 1)[0] || null; + }, + + removeSegments: function(start, end, _includeCurves) { + start = start || 0; + end = Base.pick(end, this._segments.length); + var segments = this._segments, + curves = this._curves, + count = segments.length, + removed = segments.splice(start, end - start), + amount = removed.length; + if (!amount) + return removed; + for (var i = 0; i < amount; i++) { + var segment = removed[i]; + if (segment._selection) + this._updateSelection(segment, segment._selection, 0); + segment._index = segment._path = null; + } + for (var i = start, l = segments.length; i < l; i++) + segments[i]._index = i; + if (curves) { + var index = start > 0 && end === count + (this._closed ? 1 : 0) + ? start - 1 + : start, + curves = curves.splice(index, amount); + for (var i = curves.length - 1; i >= 0; i--) + curves[i]._path = null; + if (_includeCurves) + removed._curves = curves.slice(1); + this._adjustCurves(index, index); + } + this._changed(41); + return removed; + }, + + clear: '#removeSegments', + + hasHandles: function() { + var segments = this._segments; + for (var i = 0, l = segments.length; i < l; i++) { + if (segments[i].hasHandles()) + return true; + } + return false; + }, + + clearHandles: function() { + var segments = this._segments; + for (var i = 0, l = segments.length; i < l; i++) + segments[i].clearHandles(); + }, + + getLength: function() { + if (this._length == null) { + var curves = this.getCurves(), + length = 0; + for (var i = 0, l = curves.length; i < l; i++) + length += curves[i].getLength(); + this._length = length; + } + return this._length; + }, + + getArea: function() { + var area = this._area; + if (area == null) { + var segments = this._segments, + closed = this._closed; + area = 0; + for (var i = 0, l = segments.length; i < l; i++) { + var last = i + 1 === l; + area += Curve.getArea(Curve.getValues( + segments[i], segments[last ? 0 : i + 1], + null, last && !closed)); + } + this._area = area; + } + return area; + }, + + isFullySelected: function() { + var length = this._segments.length; + return this.isSelected() && length > 0 && this._segmentSelection + === length * 7; + }, + + setFullySelected: function(selected) { + if (selected) + this._selectSegments(true); + this.setSelected(selected); + }, + + setSelection: function setSelection(selection) { + if (!(selection & 1)) + this._selectSegments(false); + setSelection.base.call(this, selection); + }, + + _selectSegments: function(selected) { + var segments = this._segments, + length = segments.length, + selection = selected ? 7 : 0; + this._segmentSelection = selection * length; + for (var i = 0; i < length; i++) + segments[i]._selection = selection; + }, + + _updateSelection: function(segment, oldSelection, newSelection) { + segment._selection = newSelection; + var selection = this._segmentSelection += newSelection - oldSelection; + if (selection > 0) + this.setSelected(true); + }, + + divideAt: function(location) { + var loc = this.getLocationAt(location), + curve; + return loc && (curve = loc.getCurve().divideAt(loc.getCurveOffset())) + ? curve._segment1 + : null; + }, + + splitAt: function(location) { + var loc = this.getLocationAt(location), + index = loc && loc.index, + time = loc && loc.time, + tMin = 1e-8, + tMax = 1 - tMin; + if (time > tMax) { + index++; + time = 0; + } + var curves = this.getCurves(); + if (index >= 0 && index < curves.length) { + if (time >= tMin) { + curves[index++].divideAtTime(time); + } + var segs = this.removeSegments(index, this._segments.length, true), + path; + if (this._closed) { + this.setClosed(false); + path = this; + } else { + path = new Path(Item.NO_INSERT); + path.insertAbove(this); + path.copyAttributes(this); + } + path._add(segs, 0); + this.addSegment(segs[0]); + return path; + } + return null; + }, + + split: function(index, time) { + var curve, + location = time === undefined ? index + : (curve = this.getCurves()[index]) + && curve.getLocationAtTime(time); + return location != null ? this.splitAt(location) : null; + }, + + join: function(path, tolerance) { + var epsilon = tolerance || 0; + if (path && path !== this) { + var segments = path._segments, + last1 = this.getLastSegment(), + last2 = path.getLastSegment(); + if (!last2) + return this; + if (last1 && last1._point.isClose(last2._point, epsilon)) + path.reverse(); + var first2 = path.getFirstSegment(); + if (last1 && last1._point.isClose(first2._point, epsilon)) { + last1.setHandleOut(first2._handleOut); + this._add(segments.slice(1)); + } else { + var first1 = this.getFirstSegment(); + if (first1 && first1._point.isClose(first2._point, epsilon)) + path.reverse(); + last2 = path.getLastSegment(); + if (first1 && first1._point.isClose(last2._point, epsilon)) { + first1.setHandleIn(last2._handleIn); + this._add(segments.slice(0, segments.length - 1), 0); + } else { + this._add(segments.slice()); + } + } + if (path._closed) + this._add([segments[0]]); + path.remove(); + } + var first = this.getFirstSegment(), + last = this.getLastSegment(); + if (first !== last && first._point.isClose(last._point, epsilon)) { + first.setHandleIn(last._handleIn); + last.remove(); + this.setClosed(true); + } + return this; + }, + + reduce: function(options) { + var curves = this.getCurves(), + simplify = options && options.simplify, + tolerance = simplify ? 1e-7 : 0; + for (var i = curves.length - 1; i >= 0; i--) { + var curve = curves[i]; + if (!curve.hasHandles() && (!curve.hasLength(tolerance) + || simplify && curve.isCollinear(curve.getNext()))) + curve.remove(); + } + return this; + }, + + reverse: function() { + this._segments.reverse(); + for (var i = 0, l = this._segments.length; i < l; i++) { + var segment = this._segments[i]; + var handleIn = segment._handleIn; + segment._handleIn = segment._handleOut; + segment._handleOut = handleIn; + segment._index = i; + } + this._curves = null; + this._changed(9); + }, + + flatten: function(flatness) { + var flattener = new PathFlattener(this, flatness || 0.25, 256, true), + parts = flattener.parts, + length = parts.length, + segments = []; + for (var i = 0; i < length; i++) { + segments.push(new Segment(parts[i].curve.slice(0, 2))); + } + if (!this._closed && length > 0) { + segments.push(new Segment(parts[length - 1].curve.slice(6))); + } + this.setSegments(segments); + }, + + simplify: function(tolerance) { + var segments = new PathFitter(this).fit(tolerance || 2.5); + if (segments) + this.setSegments(segments); + return !!segments; + }, + + smooth: function(options) { + var that = this, + opts = options || {}, + type = opts.type || 'asymmetric', + segments = this._segments, + length = segments.length, + closed = this._closed; + + function getIndex(value, _default) { + var index = value && value.index; + if (index != null) { + var path = value.path; + if (path && path !== that) + throw new Error(value._class + ' ' + index + ' of ' + path + + ' is not part of ' + that); + if (_default && value instanceof Curve) + index++; + } else { + index = typeof value === 'number' ? value : _default; + } + return Math.min(index < 0 && closed + ? index % length + : index < 0 ? index + length : index, length - 1); + } + + var loop = closed && opts.from === undefined && opts.to === undefined, + from = getIndex(opts.from, 0), + to = getIndex(opts.to, length - 1); + + if (from > to) { + if (closed) { + from -= length; + } else { + var tmp = from; + from = to; + to = tmp; + } + } + if (/^(?:asymmetric|continuous)$/.test(type)) { + var asymmetric = type === 'asymmetric', + min = Math.min, + amount = to - from + 1, + n = amount - 1, + padding = loop ? min(amount, 4) : 1, + paddingLeft = padding, + paddingRight = padding, + knots = []; + if (!closed) { + paddingLeft = min(1, from); + paddingRight = min(1, length - to - 1); + } + n += paddingLeft + paddingRight; + if (n <= 1) + return; + for (var i = 0, j = from - paddingLeft; i <= n; i++, j++) { + knots[i] = segments[(j < 0 ? j + length : j) % length]._point; + } + + var x = knots[0]._x + 2 * knots[1]._x, + y = knots[0]._y + 2 * knots[1]._y, + f = 2, + n_1 = n - 1, + rx = [x], + ry = [y], + rf = [f], + px = [], + py = []; + for (var i = 1; i < n; i++) { + var internal = i < n_1, + a = internal ? 1 : asymmetric ? 1 : 2, + b = internal ? 4 : asymmetric ? 2 : 7, + u = internal ? 4 : asymmetric ? 3 : 8, + v = internal ? 2 : asymmetric ? 0 : 1, + m = a / f; + f = rf[i] = b - m; + x = rx[i] = u * knots[i]._x + v * knots[i + 1]._x - m * x; + y = ry[i] = u * knots[i]._y + v * knots[i + 1]._y - m * y; + } + + px[n_1] = rx[n_1] / rf[n_1]; + py[n_1] = ry[n_1] / rf[n_1]; + for (var i = n - 2; i >= 0; i--) { + px[i] = (rx[i] - px[i + 1]) / rf[i]; + py[i] = (ry[i] - py[i + 1]) / rf[i]; + } + px[n] = (3 * knots[n]._x - px[n_1]) / 2; + py[n] = (3 * knots[n]._y - py[n_1]) / 2; + + for (var i = paddingLeft, max = n - paddingRight, j = from; + i <= max; i++, j++) { + var segment = segments[j < 0 ? j + length : j], + pt = segment._point, + hx = px[i] - pt._x, + hy = py[i] - pt._y; + if (loop || i < max) + segment.setHandleOut(hx, hy); + if (loop || i > paddingLeft) + segment.setHandleIn(-hx, -hy); + } + } else { + for (var i = from; i <= to; i++) { + segments[i < 0 ? i + length : i].smooth(opts, + !loop && i === from, !loop && i === to); + } + } + }, + + toShape: function(insert) { + if (!this._closed) + return null; + + var segments = this._segments, + type, + size, + radius, + topCenter; + + function isCollinear(i, j) { + var seg1 = segments[i], + seg2 = seg1.getNext(), + seg3 = segments[j], + seg4 = seg3.getNext(); + return seg1._handleOut.isZero() && seg2._handleIn.isZero() + && seg3._handleOut.isZero() && seg4._handleIn.isZero() + && seg2._point.subtract(seg1._point).isCollinear( + seg4._point.subtract(seg3._point)); + } + + function isOrthogonal(i) { + var seg2 = segments[i], + seg1 = seg2.getPrevious(), + seg3 = seg2.getNext(); + return seg1._handleOut.isZero() && seg2._handleIn.isZero() + && seg2._handleOut.isZero() && seg3._handleIn.isZero() + && seg2._point.subtract(seg1._point).isOrthogonal( + seg3._point.subtract(seg2._point)); + } + + function isArc(i) { + var seg1 = segments[i], + seg2 = seg1.getNext(), + handle1 = seg1._handleOut, + handle2 = seg2._handleIn, + kappa = 0.5522847498307936; + if (handle1.isOrthogonal(handle2)) { + var pt1 = seg1._point, + pt2 = seg2._point, + corner = new Line(pt1, handle1, true).intersect( + new Line(pt2, handle2, true), true); + return corner && Numerical.isZero(handle1.getLength() / + corner.subtract(pt1).getLength() - kappa) + && Numerical.isZero(handle2.getLength() / + corner.subtract(pt2).getLength() - kappa); + } + return false; + } + + function getDistance(i, j) { + return segments[i]._point.getDistance(segments[j]._point); + } + + if (!this.hasHandles() && segments.length === 4 + && isCollinear(0, 2) && isCollinear(1, 3) && isOrthogonal(1)) { + type = Shape.Rectangle; + size = new Size(getDistance(0, 3), getDistance(0, 1)); + topCenter = segments[1]._point.add(segments[2]._point).divide(2); + } else if (segments.length === 8 && isArc(0) && isArc(2) && isArc(4) + && isArc(6) && isCollinear(1, 5) && isCollinear(3, 7)) { + type = Shape.Rectangle; + size = new Size(getDistance(1, 6), getDistance(0, 3)); + radius = size.subtract(new Size(getDistance(0, 7), + getDistance(1, 2))).divide(2); + topCenter = segments[3]._point.add(segments[4]._point).divide(2); + } else if (segments.length === 4 + && isArc(0) && isArc(1) && isArc(2) && isArc(3)) { + if (Numerical.isZero(getDistance(0, 2) - getDistance(1, 3))) { + type = Shape.Circle; + radius = getDistance(0, 2) / 2; + } else { + type = Shape.Ellipse; + radius = new Size(getDistance(2, 0) / 2, getDistance(3, 1) / 2); + } + topCenter = segments[1]._point; + } + + if (type) { + var center = this.getPosition(true), + shape = new type({ + center: center, + size: size, + radius: radius, + insert: false + }); + shape.copyAttributes(this, true); + shape._matrix.prepend(this._matrix); + shape.rotate(topCenter.subtract(center).getAngle() + 90); + if (insert === undefined || insert) + shape.insertAbove(this); + return shape; + } + return null; + }, + + toPath: '#clone', + + compare: function compare(path) { + if (!path || path instanceof CompoundPath) + return compare.base.call(this, path); + var curves1 = this.getCurves(), + curves2 = path.getCurves(), + length1 = curves1.length, + length2 = curves2.length; + if (!length1 || !length2) { + return length1 == length2; + } + var v1 = curves1[0].getValues(), + values2 = [], + pos1 = 0, pos2, + end1 = 0, end2; + for (var i = 0; i < length2; i++) { + var v2 = curves2[i].getValues(); + values2.push(v2); + var overlaps = Curve.getOverlaps(v1, v2); + if (overlaps) { + pos2 = !i && overlaps[0][0] > 0 ? length2 - 1 : i; + end2 = overlaps[0][1]; + break; + } + } + var abs = Math.abs, + epsilon = 1e-8, + v2 = values2[pos2], + start2; + while (v1 && v2) { + var overlaps = Curve.getOverlaps(v1, v2); + if (overlaps) { + var t1 = overlaps[0][0]; + if (abs(t1 - end1) < epsilon) { + end1 = overlaps[1][0]; + if (end1 === 1) { + v1 = ++pos1 < length1 ? curves1[pos1].getValues() : null; + end1 = 0; + } + var t2 = overlaps[0][1]; + if (abs(t2 - end2) < epsilon) { + if (!start2) + start2 = [pos2, t2]; + end2 = overlaps[1][1]; + if (end2 === 1) { + if (++pos2 >= length2) + pos2 = 0; + v2 = values2[pos2] || curves2[pos2].getValues(); + end2 = 0; + } + if (!v1) { + return start2[0] === pos2 && start2[1] === end2; + } + continue; + } + } + } + break; + } + return false; + }, + + _hitTestSelf: function(point, options, viewMatrix, strokeMatrix) { + var that = this, + style = this.getStyle(), + segments = this._segments, + numSegments = segments.length, + closed = this._closed, + tolerancePadding = options._tolerancePadding, + strokePadding = tolerancePadding, + join, cap, miterLimit, + area, loc, res, + hitStroke = options.stroke && style.hasStroke(), + hitFill = options.fill && style.hasFill(), + hitCurves = options.curves, + strokeRadius = hitStroke + ? style.getStrokeWidth() / 2 + : hitFill && options.tolerance > 0 || hitCurves + ? 0 : null; + if (strokeRadius !== null) { + if (strokeRadius > 0) { + join = style.getStrokeJoin(); + cap = style.getStrokeCap(); + miterLimit = style.getMiterLimit(); + strokePadding = strokePadding.add( + Path._getStrokePadding(strokeRadius, strokeMatrix)); + } else { + join = cap = 'round'; + } + } + + function isCloseEnough(pt, padding) { + return point.subtract(pt).divide(padding).length <= 1; + } + + function checkSegmentPoint(seg, pt, name) { + if (!options.selected || pt.isSelected()) { + var anchor = seg._point; + if (pt !== anchor) + pt = pt.add(anchor); + if (isCloseEnough(pt, strokePadding)) { + return new HitResult(name, that, { + segment: seg, + point: pt + }); + } + } + } + + function checkSegmentPoints(seg, ends) { + return (ends || options.segments) + && checkSegmentPoint(seg, seg._point, 'segment') + || (!ends && options.handles) && ( + checkSegmentPoint(seg, seg._handleIn, 'handle-in') || + checkSegmentPoint(seg, seg._handleOut, 'handle-out')); + } + + function addToArea(point) { + area.add(point); + } + + function checkSegmentStroke(segment) { + var isJoin = closed || segment._index > 0 + && segment._index < numSegments - 1; + if ((isJoin ? join : cap) === 'round') { + return isCloseEnough(segment._point, strokePadding); + } else { + area = new Path({ internal: true, closed: true }); + if (isJoin) { + if (!segment.isSmooth()) { + Path._addBevelJoin(segment, join, strokeRadius, + miterLimit, null, strokeMatrix, addToArea, true); + } + } else if (cap === 'square') { + Path._addSquareCap(segment, cap, strokeRadius, null, + strokeMatrix, addToArea, true); + } + if (!area.isEmpty()) { + var loc; + return area.contains(point) + || (loc = area.getNearestLocation(point)) + && isCloseEnough(loc.getPoint(), tolerancePadding); + } + } + } + + if (options.ends && !options.segments && !closed) { + if (res = checkSegmentPoints(segments[0], true) + || checkSegmentPoints(segments[numSegments - 1], true)) + return res; + } else if (options.segments || options.handles) { + for (var i = 0; i < numSegments; i++) + if (res = checkSegmentPoints(segments[i])) + return res; + } + if (strokeRadius !== null) { + loc = this.getNearestLocation(point); + if (loc) { + var time = loc.getTime(); + if (time === 0 || time === 1 && numSegments > 1) { + if (!checkSegmentStroke(loc.getSegment())) + loc = null; + } else if (!isCloseEnough(loc.getPoint(), strokePadding)) { + loc = null; + } + } + if (!loc && join === 'miter' && numSegments > 1) { + for (var i = 0; i < numSegments; i++) { + var segment = segments[i]; + if (point.getDistance(segment._point) + <= miterLimit * strokeRadius + && checkSegmentStroke(segment)) { + loc = segment.getLocation(); + break; + } + } + } + } + return !loc && hitFill && this._contains(point) + || loc && !hitStroke && !hitCurves + ? new HitResult('fill', this) + : loc + ? new HitResult(hitStroke ? 'stroke' : 'curve', this, { + location: loc, + point: loc.getPoint() + }) + : null; + } + +}, Base.each(Curve._evaluateMethods, + function(name) { + this[name + 'At'] = function(offset) { + var loc = this.getLocationAt(offset); + return loc && loc[name](); + }; + }, +{ + beans: false, + + getLocationOf: function() { + var point = Point.read(arguments), + curves = this.getCurves(); + for (var i = 0, l = curves.length; i < l; i++) { + var loc = curves[i].getLocationOf(point); + if (loc) + return loc; + } + return null; + }, + + getOffsetOf: function() { + var loc = this.getLocationOf.apply(this, arguments); + return loc ? loc.getOffset() : null; + }, + + getLocationAt: function(offset) { + if (typeof offset === 'number') { + var curves = this.getCurves(), + length = 0; + for (var i = 0, l = curves.length; i < l; i++) { + var start = length, + curve = curves[i]; + length += curve.getLength(); + if (length > offset) { + return curve.getLocationAt(offset - start); + } + } + if (curves.length > 0 && offset <= this.getLength()) { + return new CurveLocation(curves[curves.length - 1], 1); + } + } else if (offset && offset.getPath && offset.getPath() === this) { + return offset; + } + return null; + }, + + getOffsetsWithTangent: function() { + var tangent = Point.read(arguments); + if (tangent.isZero()) { + return []; + } + + var offsets = []; + var curveStart = 0; + var curves = this.getCurves(); + for (var i = 0, l = curves.length; i < l; i++) { + var curve = curves[i]; + var curveTimes = curve.getTimesWithTangent(tangent); + for (var j = 0, m = curveTimes.length; j < m; j++) { + var offset = curveStart + curve.getOffsetAtTime(curveTimes[j]); + if (offsets.indexOf(offset) < 0) { + offsets.push(offset); + } + } + curveStart += curve.length; + } + return offsets; + } +}), +new function() { + + function drawHandles(ctx, segments, matrix, size) { + var half = size / 2, + coords = new Array(6), + pX, pY; + + function drawHandle(index) { + var hX = coords[index], + hY = coords[index + 1]; + if (pX != hX || pY != hY) { + ctx.beginPath(); + ctx.moveTo(pX, pY); + ctx.lineTo(hX, hY); + ctx.stroke(); + ctx.beginPath(); + ctx.arc(hX, hY, half, 0, Math.PI * 2, true); + ctx.fill(); + } + } + + for (var i = 0, l = segments.length; i < l; i++) { + var segment = segments[i], + selection = segment._selection; + segment._transformCoordinates(matrix, coords); + pX = coords[0]; + pY = coords[1]; + if (selection & 2) + drawHandle(2); + if (selection & 4) + drawHandle(4); + ctx.fillRect(pX - half, pY - half, size, size); + if (!(selection & 1)) { + var fillStyle = ctx.fillStyle; + ctx.fillStyle = '#ffffff'; + ctx.fillRect(pX - half + 1, pY - half + 1, size - 2, size - 2); + ctx.fillStyle = fillStyle; + } + } + } + + function drawSegments(ctx, path, matrix) { + var segments = path._segments, + length = segments.length, + coords = new Array(6), + first = true, + curX, curY, + prevX, prevY, + inX, inY, + outX, outY; + + function drawSegment(segment) { + if (matrix) { + segment._transformCoordinates(matrix, coords); + curX = coords[0]; + curY = coords[1]; + } else { + var point = segment._point; + curX = point._x; + curY = point._y; + } + if (first) { + ctx.moveTo(curX, curY); + first = false; + } else { + if (matrix) { + inX = coords[2]; + inY = coords[3]; + } else { + var handle = segment._handleIn; + inX = curX + handle._x; + inY = curY + handle._y; + } + if (inX === curX && inY === curY + && outX === prevX && outY === prevY) { + ctx.lineTo(curX, curY); + } else { + ctx.bezierCurveTo(outX, outY, inX, inY, curX, curY); + } + } + prevX = curX; + prevY = curY; + if (matrix) { + outX = coords[4]; + outY = coords[5]; + } else { + var handle = segment._handleOut; + outX = prevX + handle._x; + outY = prevY + handle._y; + } + } + + for (var i = 0; i < length; i++) + drawSegment(segments[i]); + if (path._closed && length > 0) + drawSegment(segments[0]); + } + + return { + _draw: function(ctx, param, viewMatrix, strokeMatrix) { + var dontStart = param.dontStart, + dontPaint = param.dontFinish || param.clip, + style = this.getStyle(), + hasFill = style.hasFill(), + hasStroke = style.hasStroke(), + dashArray = style.getDashArray(), + dashLength = !paper.support.nativeDash && hasStroke + && dashArray && dashArray.length; + + if (!dontStart) + ctx.beginPath(); + + if (hasFill || hasStroke && !dashLength || dontPaint) { + drawSegments(ctx, this, strokeMatrix); + if (this._closed) + ctx.closePath(); + } + + function getOffset(i) { + return dashArray[((i % dashLength) + dashLength) % dashLength]; + } + + if (!dontPaint && (hasFill || hasStroke)) { + this._setStyles(ctx, param, viewMatrix); + if (hasFill) { + ctx.fill(style.getFillRule()); + ctx.shadowColor = 'rgba(0,0,0,0)'; + } + if (hasStroke) { + if (dashLength) { + if (!dontStart) + ctx.beginPath(); + var flattener = new PathFlattener(this, 0.25, 32, false, + strokeMatrix), + length = flattener.length, + from = -style.getDashOffset(), to, + i = 0; + from = from % length; + while (from > 0) { + from -= getOffset(i--) + getOffset(i--); + } + while (from < length) { + to = from + getOffset(i++); + if (from > 0 || to > 0) + flattener.drawPart(ctx, + Math.max(from, 0), Math.max(to, 0)); + from = to + getOffset(i++); + } + } + ctx.stroke(); + } + } + }, + + _drawSelected: function(ctx, matrix) { + ctx.beginPath(); + drawSegments(ctx, this, matrix); + ctx.stroke(); + drawHandles(ctx, this._segments, matrix, paper.settings.handleSize); + } + }; +}, +new function() { + function getCurrentSegment(that) { + var segments = that._segments; + if (!segments.length) + throw new Error('Use a moveTo() command first'); + return segments[segments.length - 1]; + } + + return { + moveTo: function() { + var segments = this._segments; + if (segments.length === 1) + this.removeSegment(0); + if (!segments.length) + this._add([ new Segment(Point.read(arguments)) ]); + }, + + moveBy: function() { + throw new Error('moveBy() is unsupported on Path items.'); + }, + + lineTo: function() { + this._add([ new Segment(Point.read(arguments)) ]); + }, + + cubicCurveTo: function() { + var handle1 = Point.read(arguments), + handle2 = Point.read(arguments), + to = Point.read(arguments), + current = getCurrentSegment(this); + current.setHandleOut(handle1.subtract(current._point)); + this._add([ new Segment(to, handle2.subtract(to)) ]); + }, + + quadraticCurveTo: function() { + var handle = Point.read(arguments), + to = Point.read(arguments), + current = getCurrentSegment(this)._point; + this.cubicCurveTo( + handle.add(current.subtract(handle).multiply(1 / 3)), + handle.add(to.subtract(handle).multiply(1 / 3)), + to + ); + }, + + curveTo: function() { + var through = Point.read(arguments), + to = Point.read(arguments), + t = Base.pick(Base.read(arguments), 0.5), + t1 = 1 - t, + current = getCurrentSegment(this)._point, + handle = through.subtract(current.multiply(t1 * t1)) + .subtract(to.multiply(t * t)).divide(2 * t * t1); + if (handle.isNaN()) + throw new Error( + 'Cannot put a curve through points with parameter = ' + t); + this.quadraticCurveTo(handle, to); + }, + + arcTo: function() { + var abs = Math.abs, + sqrt = Math.sqrt, + current = getCurrentSegment(this), + from = current._point, + to = Point.read(arguments), + through, + peek = Base.peek(arguments), + clockwise = Base.pick(peek, true), + center, extent, vector, matrix; + if (typeof clockwise === 'boolean') { + var middle = from.add(to).divide(2), + through = middle.add(middle.subtract(from).rotate( + clockwise ? -90 : 90)); + } else if (Base.remain(arguments) <= 2) { + through = to; + to = Point.read(arguments); + } else { + var radius = Size.read(arguments), + isZero = Numerical.isZero; + if (isZero(radius.width) || isZero(radius.height)) + return this.lineTo(to); + var rotation = Base.read(arguments), + clockwise = !!Base.read(arguments), + large = !!Base.read(arguments), + middle = from.add(to).divide(2), + pt = from.subtract(middle).rotate(-rotation), + x = pt.x, + y = pt.y, + rx = abs(radius.width), + ry = abs(radius.height), + rxSq = rx * rx, + rySq = ry * ry, + xSq = x * x, + ySq = y * y; + var factor = sqrt(xSq / rxSq + ySq / rySq); + if (factor > 1) { + rx *= factor; + ry *= factor; + rxSq = rx * rx; + rySq = ry * ry; + } + factor = (rxSq * rySq - rxSq * ySq - rySq * xSq) / + (rxSq * ySq + rySq * xSq); + if (abs(factor) < 1e-12) + factor = 0; + if (factor < 0) + throw new Error( + 'Cannot create an arc with the given arguments'); + center = new Point(rx * y / ry, -ry * x / rx) + .multiply((large === clockwise ? -1 : 1) * sqrt(factor)) + .rotate(rotation).add(middle); + matrix = new Matrix().translate(center).rotate(rotation) + .scale(rx, ry); + vector = matrix._inverseTransform(from); + extent = vector.getDirectedAngle(matrix._inverseTransform(to)); + if (!clockwise && extent > 0) + extent -= 360; + else if (clockwise && extent < 0) + extent += 360; + } + if (through) { + var l1 = new Line(from.add(through).divide(2), + through.subtract(from).rotate(90), true), + l2 = new Line(through.add(to).divide(2), + to.subtract(through).rotate(90), true), + line = new Line(from, to), + throughSide = line.getSide(through); + center = l1.intersect(l2, true); + if (!center) { + if (!throughSide) + return this.lineTo(to); + throw new Error( + 'Cannot create an arc with the given arguments'); + } + vector = from.subtract(center); + extent = vector.getDirectedAngle(to.subtract(center)); + var centerSide = line.getSide(center, true); + if (centerSide === 0) { + extent = throughSide * abs(extent); + } else if (throughSide === centerSide) { + extent += extent < 0 ? 360 : -360; + } + } + var epsilon = 1e-7, + ext = abs(extent), + count = ext >= 360 ? 4 : Math.ceil((ext - epsilon) / 90), + inc = extent / count, + half = inc * Math.PI / 360, + z = 4 / 3 * Math.sin(half) / (1 + Math.cos(half)), + segments = []; + for (var i = 0; i <= count; i++) { + var pt = to, + out = null; + if (i < count) { + out = vector.rotate(90).multiply(z); + if (matrix) { + pt = matrix._transformPoint(vector); + out = matrix._transformPoint(vector.add(out)) + .subtract(pt); + } else { + pt = center.add(vector); + } + } + if (!i) { + current.setHandleOut(out); + } else { + var _in = vector.rotate(-90).multiply(z); + if (matrix) { + _in = matrix._transformPoint(vector.add(_in)) + .subtract(pt); + } + segments.push(new Segment(pt, _in, out)); + } + vector = vector.rotate(inc); + } + this._add(segments); + }, + + lineBy: function() { + var to = Point.read(arguments), + current = getCurrentSegment(this)._point; + this.lineTo(current.add(to)); + }, + + curveBy: function() { + var through = Point.read(arguments), + to = Point.read(arguments), + parameter = Base.read(arguments), + current = getCurrentSegment(this)._point; + this.curveTo(current.add(through), current.add(to), parameter); + }, + + cubicCurveBy: function() { + var handle1 = Point.read(arguments), + handle2 = Point.read(arguments), + to = Point.read(arguments), + current = getCurrentSegment(this)._point; + this.cubicCurveTo(current.add(handle1), current.add(handle2), + current.add(to)); + }, + + quadraticCurveBy: function() { + var handle = Point.read(arguments), + to = Point.read(arguments), + current = getCurrentSegment(this)._point; + this.quadraticCurveTo(current.add(handle), current.add(to)); + }, + + arcBy: function() { + var current = getCurrentSegment(this)._point, + point = current.add(Point.read(arguments)), + clockwise = Base.pick(Base.peek(arguments), true); + if (typeof clockwise === 'boolean') { + this.arcTo(point, clockwise); + } else { + this.arcTo(point, current.add(Point.read(arguments))); + } + }, + + closePath: function(tolerance) { + this.setClosed(true); + this.join(this, tolerance); + } + }; +}, { + + _getBounds: function(matrix, options) { + var method = options.handle + ? 'getHandleBounds' + : options.stroke + ? 'getStrokeBounds' + : 'getBounds'; + return Path[method](this._segments, this._closed, this, matrix, options); + }, + +statics: { + getBounds: function(segments, closed, path, matrix, options, strokePadding) { + var first = segments[0]; + if (!first) + return new Rectangle(); + var coords = new Array(6), + prevCoords = first._transformCoordinates(matrix, new Array(6)), + min = prevCoords.slice(0, 2), + max = min.slice(), + roots = new Array(2); + + function processSegment(segment) { + segment._transformCoordinates(matrix, coords); + for (var i = 0; i < 2; i++) { + Curve._addBounds( + prevCoords[i], + prevCoords[i + 4], + coords[i + 2], + coords[i], + i, strokePadding ? strokePadding[i] : 0, min, max, roots); + } + var tmp = prevCoords; + prevCoords = coords; + coords = tmp; + } + + for (var i = 1, l = segments.length; i < l; i++) + processSegment(segments[i]); + if (closed) + processSegment(first); + return new Rectangle(min[0], min[1], max[0] - min[0], max[1] - min[1]); + }, + + getStrokeBounds: function(segments, closed, path, matrix, options) { + var style = path.getStyle(), + stroke = style.hasStroke(), + strokeWidth = style.getStrokeWidth(), + strokeMatrix = stroke && path._getStrokeMatrix(matrix, options), + strokePadding = stroke && Path._getStrokePadding(strokeWidth, + strokeMatrix), + bounds = Path.getBounds(segments, closed, path, matrix, options, + strokePadding); + if (!stroke) + return bounds; + var strokeRadius = strokeWidth / 2, + join = style.getStrokeJoin(), + cap = style.getStrokeCap(), + miterLimit = style.getMiterLimit(), + joinBounds = new Rectangle(new Size(strokePadding)); + + function addPoint(point) { + bounds = bounds.include(point); + } + + function addRound(segment) { + bounds = bounds.unite( + joinBounds.setCenter(segment._point.transform(matrix))); + } + + function addJoin(segment, join) { + if (join === 'round' || segment.isSmooth()) { + addRound(segment); + } else { + Path._addBevelJoin(segment, join, strokeRadius, miterLimit, + matrix, strokeMatrix, addPoint); + } + } + + function addCap(segment, cap) { + if (cap === 'round') { + addRound(segment); + } else { + Path._addSquareCap(segment, cap, strokeRadius, matrix, + strokeMatrix, addPoint); + } + } + + var length = segments.length - (closed ? 0 : 1); + for (var i = 1; i < length; i++) + addJoin(segments[i], join); + if (closed) { + addJoin(segments[0], join); + } else if (length > 0) { + addCap(segments[0], cap); + addCap(segments[segments.length - 1], cap); + } + return bounds; + }, + + _getStrokePadding: function(radius, matrix) { + if (!matrix) + return [radius, radius]; + var hor = new Point(radius, 0).transform(matrix), + ver = new Point(0, radius).transform(matrix), + phi = hor.getAngleInRadians(), + a = hor.getLength(), + b = ver.getLength(); + var sin = Math.sin(phi), + cos = Math.cos(phi), + tan = Math.tan(phi), + tx = Math.atan2(b * tan, a), + ty = Math.atan2(b, tan * a); + return [Math.abs(a * Math.cos(tx) * cos + b * Math.sin(tx) * sin), + Math.abs(b * Math.sin(ty) * cos + a * Math.cos(ty) * sin)]; + }, + + _addBevelJoin: function(segment, join, radius, miterLimit, matrix, + strokeMatrix, addPoint, isArea) { + var curve2 = segment.getCurve(), + curve1 = curve2.getPrevious(), + point = curve2.getPoint1().transform(matrix), + normal1 = curve1.getNormalAtTime(1).multiply(radius) + .transform(strokeMatrix), + normal2 = curve2.getNormalAtTime(0).multiply(radius) + .transform(strokeMatrix); + if (normal1.getDirectedAngle(normal2) < 0) { + normal1 = normal1.negate(); + normal2 = normal2.negate(); + } + if (isArea) + addPoint(point); + addPoint(point.add(normal1)); + if (join === 'miter') { + var corner = new Line(point.add(normal1), + new Point(-normal1.y, normal1.x), true + ).intersect(new Line(point.add(normal2), + new Point(-normal2.y, normal2.x), true + ), true); + if (corner && point.getDistance(corner) <= miterLimit * radius) { + addPoint(corner); + } + } + addPoint(point.add(normal2)); + }, + + _addSquareCap: function(segment, cap, radius, matrix, strokeMatrix, + addPoint, isArea) { + var point = segment._point.transform(matrix), + loc = segment.getLocation(), + normal = loc.getNormal() + .multiply(loc.getTime() === 0 ? radius : -radius) + .transform(strokeMatrix); + if (cap === 'square') { + if (isArea) { + addPoint(point.subtract(normal)); + addPoint(point.add(normal)); + } + point = point.add(normal.rotate(-90)); + } + addPoint(point.add(normal)); + addPoint(point.subtract(normal)); + }, + + getHandleBounds: function(segments, closed, path, matrix, options) { + var style = path.getStyle(), + stroke = options.stroke && style.hasStroke(), + strokePadding, + joinPadding; + if (stroke) { + var strokeMatrix = path._getStrokeMatrix(matrix, options), + strokeRadius = style.getStrokeWidth() / 2, + joinRadius = strokeRadius; + if (style.getStrokeJoin() === 'miter') + joinRadius = strokeRadius * style.getMiterLimit(); + if (style.getStrokeCap() === 'square') + joinRadius = Math.max(joinRadius, strokeRadius * Math.SQRT2); + strokePadding = Path._getStrokePadding(strokeRadius, strokeMatrix); + joinPadding = Path._getStrokePadding(joinRadius, strokeMatrix); + } + var coords = new Array(6), + x1 = Infinity, + x2 = -x1, + y1 = x1, + y2 = x2; + for (var i = 0, l = segments.length; i < l; i++) { + var segment = segments[i]; + segment._transformCoordinates(matrix, coords); + for (var j = 0; j < 6; j += 2) { + var padding = !j ? joinPadding : strokePadding, + paddingX = padding ? padding[0] : 0, + paddingY = padding ? padding[1] : 0, + x = coords[j], + y = coords[j + 1], + xn = x - paddingX, + xx = x + paddingX, + yn = y - paddingY, + yx = y + paddingY; + if (xn < x1) x1 = xn; + if (xx > x2) x2 = xx; + if (yn < y1) y1 = yn; + if (yx > y2) y2 = yx; + } + } + return new Rectangle(x1, y1, x2 - x1, y2 - y1); + } +}}); + +Path.inject({ statics: new function() { + + var kappa = 0.5522847498307936, + ellipseSegments = [ + new Segment([-1, 0], [0, kappa ], [0, -kappa]), + new Segment([0, -1], [-kappa, 0], [kappa, 0 ]), + new Segment([1, 0], [0, -kappa], [0, kappa ]), + new Segment([0, 1], [kappa, 0 ], [-kappa, 0]) + ]; + + function createPath(segments, closed, args) { + var props = Base.getNamed(args), + path = new Path(props && props.insert == false && Item.NO_INSERT); + path._add(segments); + path._closed = closed; + return path.set(props, { insert: true }); + } + + function createEllipse(center, radius, args) { + var segments = new Array(4); + for (var i = 0; i < 4; i++) { + var segment = ellipseSegments[i]; + segments[i] = new Segment( + segment._point.multiply(radius).add(center), + segment._handleIn.multiply(radius), + segment._handleOut.multiply(radius) + ); + } + return createPath(segments, true, args); + } + + return { + Line: function() { + return createPath([ + new Segment(Point.readNamed(arguments, 'from')), + new Segment(Point.readNamed(arguments, 'to')) + ], false, arguments); + }, + + Circle: function() { + var center = Point.readNamed(arguments, 'center'), + radius = Base.readNamed(arguments, 'radius'); + return createEllipse(center, new Size(radius), arguments); + }, + + Rectangle: function() { + var rect = Rectangle.readNamed(arguments, 'rectangle'), + radius = Size.readNamed(arguments, 'radius', 0, + { readNull: true }), + bl = rect.getBottomLeft(true), + tl = rect.getTopLeft(true), + tr = rect.getTopRight(true), + br = rect.getBottomRight(true), + segments; + if (!radius || radius.isZero()) { + segments = [ + new Segment(bl), + new Segment(tl), + new Segment(tr), + new Segment(br) + ]; + } else { + radius = Size.min(radius, rect.getSize(true).divide(2)); + var rx = radius.width, + ry = radius.height, + hx = rx * kappa, + hy = ry * kappa; + segments = [ + new Segment(bl.add(rx, 0), null, [-hx, 0]), + new Segment(bl.subtract(0, ry), [0, hy]), + new Segment(tl.add(0, ry), null, [0, -hy]), + new Segment(tl.add(rx, 0), [-hx, 0], null), + new Segment(tr.subtract(rx, 0), null, [hx, 0]), + new Segment(tr.add(0, ry), [0, -hy], null), + new Segment(br.subtract(0, ry), null, [0, hy]), + new Segment(br.subtract(rx, 0), [hx, 0]) + ]; + } + return createPath(segments, true, arguments); + }, + + RoundRectangle: '#Rectangle', + + Ellipse: function() { + var ellipse = Shape._readEllipse(arguments); + return createEllipse(ellipse.center, ellipse.radius, arguments); + }, + + Oval: '#Ellipse', + + Arc: function() { + var from = Point.readNamed(arguments, 'from'), + through = Point.readNamed(arguments, 'through'), + to = Point.readNamed(arguments, 'to'), + props = Base.getNamed(arguments), + path = new Path(props && props.insert == false + && Item.NO_INSERT); + path.moveTo(from); + path.arcTo(through, to); + return path.set(props); + }, + + RegularPolygon: function() { + var center = Point.readNamed(arguments, 'center'), + sides = Base.readNamed(arguments, 'sides'), + radius = Base.readNamed(arguments, 'radius'), + step = 360 / sides, + three = sides % 3 === 0, + vector = new Point(0, three ? -radius : radius), + offset = three ? -1 : 0.5, + segments = new Array(sides); + for (var i = 0; i < sides; i++) + segments[i] = new Segment(center.add( + vector.rotate((i + offset) * step))); + return createPath(segments, true, arguments); + }, + + Star: function() { + var center = Point.readNamed(arguments, 'center'), + points = Base.readNamed(arguments, 'points') * 2, + radius1 = Base.readNamed(arguments, 'radius1'), + radius2 = Base.readNamed(arguments, 'radius2'), + step = 360 / points, + vector = new Point(0, -1), + segments = new Array(points); + for (var i = 0; i < points; i++) + segments[i] = new Segment(center.add(vector.rotate(step * i) + .multiply(i % 2 ? radius2 : radius1))); + return createPath(segments, true, arguments); + } + }; +}}); + +var CompoundPath = PathItem.extend({ + _class: 'CompoundPath', + _serializeFields: { + children: [] + }, + beans: true, + + initialize: function CompoundPath(arg) { + this._children = []; + this._namedChildren = {}; + if (!this._initialize(arg)) { + if (typeof arg === 'string') { + this.setPathData(arg); + } else { + this.addChildren(Array.isArray(arg) ? arg : arguments); + } + } + }, + + insertChildren: function insertChildren(index, items) { + var list = items, + first = list[0]; + if (first && typeof first[0] === 'number') + list = [list]; + for (var i = items.length - 1; i >= 0; i--) { + var item = list[i]; + if (list === items && !(item instanceof Path)) + list = Base.slice(list); + if (Array.isArray(item)) { + list[i] = new Path({ segments: item, insert: false }); + } else if (item instanceof CompoundPath) { + list.splice.apply(list, [i, 1].concat(item.removeChildren())); + item.remove(); + } + } + return insertChildren.base.call(this, index, list); + }, + + reduce: function reduce(options) { + var children = this._children; + for (var i = children.length - 1; i >= 0; i--) { + var path = children[i].reduce(options); + if (path.isEmpty()) + path.remove(); + } + if (!children.length) { + var path = new Path(Item.NO_INSERT); + path.copyAttributes(this); + path.insertAbove(this); + this.remove(); + return path; + } + return reduce.base.call(this); + }, + + isClosed: function() { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) { + if (!children[i]._closed) + return false; + } + return true; + }, + + setClosed: function(closed) { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) { + children[i].setClosed(closed); + } + }, + + getFirstSegment: function() { + var first = this.getFirstChild(); + return first && first.getFirstSegment(); + }, + + getLastSegment: function() { + var last = this.getLastChild(); + return last && last.getLastSegment(); + }, + + getCurves: function() { + var children = this._children, + curves = []; + for (var i = 0, l = children.length; i < l; i++) { + Base.push(curves, children[i].getCurves()); + } + return curves; + }, + + getFirstCurve: function() { + var first = this.getFirstChild(); + return first && first.getFirstCurve(); + }, + + getLastCurve: function() { + var last = this.getLastChild(); + return last && last.getLastCurve(); + }, + + getArea: function() { + var children = this._children, + area = 0; + for (var i = 0, l = children.length; i < l; i++) + area += children[i].getArea(); + return area; + }, + + getLength: function() { + var children = this._children, + length = 0; + for (var i = 0, l = children.length; i < l; i++) + length += children[i].getLength(); + return length; + }, + + getPathData: function(_matrix, _precision) { + var children = this._children, + paths = []; + for (var i = 0, l = children.length; i < l; i++) { + var child = children[i], + mx = child._matrix; + paths.push(child.getPathData(_matrix && !mx.isIdentity() + ? _matrix.appended(mx) : _matrix, _precision)); + } + return paths.join(''); + }, + + _hitTestChildren: function _hitTestChildren(point, options, viewMatrix) { + return _hitTestChildren.base.call(this, point, + options.class === Path || options.type === 'path' ? options + : Base.set({}, options, { fill: false }), + viewMatrix); + }, + + _draw: function(ctx, param, viewMatrix, strokeMatrix) { + var children = this._children; + if (!children.length) + return; + + param = param.extend({ dontStart: true, dontFinish: true }); + ctx.beginPath(); + for (var i = 0, l = children.length; i < l; i++) + children[i].draw(ctx, param, strokeMatrix); + + if (!param.clip) { + this._setStyles(ctx, param, viewMatrix); + var style = this._style; + if (style.hasFill()) { + ctx.fill(style.getFillRule()); + ctx.shadowColor = 'rgba(0,0,0,0)'; + } + if (style.hasStroke()) + ctx.stroke(); + } + }, + + _drawSelected: function(ctx, matrix, selectionItems) { + var children = this._children; + for (var i = 0, l = children.length; i < l; i++) { + var child = children[i], + mx = child._matrix; + if (!selectionItems[child._id]) { + child._drawSelected(ctx, mx.isIdentity() ? matrix + : matrix.appended(mx)); + } + } + } +}, +new function() { + function getCurrentPath(that, check) { + var children = that._children; + if (check && !children.length) + throw new Error('Use a moveTo() command first'); + return children[children.length - 1]; + } + + return Base.each(['lineTo', 'cubicCurveTo', 'quadraticCurveTo', 'curveTo', + 'arcTo', 'lineBy', 'cubicCurveBy', 'quadraticCurveBy', 'curveBy', + 'arcBy'], + function(key) { + this[key] = function() { + var path = getCurrentPath(this, true); + path[key].apply(path, arguments); + }; + }, { + moveTo: function() { + var current = getCurrentPath(this), + path = current && current.isEmpty() ? current + : new Path(Item.NO_INSERT); + if (path !== current) + this.addChild(path); + path.moveTo.apply(path, arguments); + }, + + moveBy: function() { + var current = getCurrentPath(this, true), + last = current && current.getLastSegment(), + point = Point.read(arguments); + this.moveTo(last ? point.add(last._point) : point); + }, + + closePath: function(tolerance) { + getCurrentPath(this, true).closePath(tolerance); + } + } + ); +}, Base.each(['reverse', 'flatten', 'simplify', 'smooth'], function(key) { + this[key] = function(param) { + var children = this._children, + res; + for (var i = 0, l = children.length; i < l; i++) { + res = children[i][key](param) || res; + } + return res; + }; +}, {})); + +PathItem.inject(new function() { + var min = Math.min, + max = Math.max, + abs = Math.abs, + operators = { + unite: { '1': true, '2': true }, + intersect: { '2': true }, + subtract: { '1': true }, + exclude: { '1': true, '-1': true } + }; + + function preparePath(path, resolve) { + var res = path.clone(false).reduce({ simplify: true }) + .transform(null, true, true); + return resolve + ? res.resolveCrossings().reorient( + res.getFillRule() === 'nonzero', true) + : res; + } + + function createResult(paths, simplify, path1, path2, options) { + var result = new CompoundPath(Item.NO_INSERT); + result.addChildren(paths, true); + result = result.reduce({ simplify: simplify }); + if (!(options && options.insert == false)) { + result.insertAbove(path2 && path1.isSibling(path2) + && path1.getIndex() < path2.getIndex() ? path2 : path1); + } + result.copyAttributes(path1, true); + return result; + } + + function traceBoolean(path1, path2, operation, options) { + if (options && (options.trace == false || options.stroke) && + /^(subtract|intersect)$/.test(operation)) + return splitBoolean(path1, path2, operation); + var _path1 = preparePath(path1, true), + _path2 = path2 && path1 !== path2 && preparePath(path2, true), + operator = operators[operation]; + operator[operation] = true; + if (_path2 && (operator.subtract || operator.exclude) + ^ (_path2.isClockwise() ^ _path1.isClockwise())) + _path2.reverse(); + var crossings = divideLocations( + CurveLocation.expand(_path1.getCrossings(_path2))), + paths1 = _path1._children || [_path1], + paths2 = _path2 && (_path2._children || [_path2]), + segments = [], + curves = [], + paths; + + function collect(paths) { + for (var i = 0, l = paths.length; i < l; i++) { + var path = paths[i]; + Base.push(segments, path._segments); + Base.push(curves, path.getCurves()); + path._overlapsOnly = true; + } + } + + if (crossings.length) { + collect(paths1); + if (paths2) + collect(paths2); + for (var i = 0, l = crossings.length; i < l; i++) { + propagateWinding(crossings[i]._segment, _path1, _path2, curves, + operator); + } + for (var i = 0, l = segments.length; i < l; i++) { + var segment = segments[i], + inter = segment._intersection; + if (!segment._winding) { + propagateWinding(segment, _path1, _path2, curves, operator); + } + if (!(inter && inter._overlap)) + segment._path._overlapsOnly = false; + } + paths = tracePaths(segments, operator); + } else { + paths = reorientPaths( + paths2 ? paths1.concat(paths2) : paths1.slice(), + function(w) { + return !!operator[w]; + }); + } + + return createResult(paths, true, path1, path2, options); + } + + function splitBoolean(path1, path2, operation) { + var _path1 = preparePath(path1), + _path2 = preparePath(path2), + crossings = _path1.getCrossings(_path2), + subtract = operation === 'subtract', + divide = operation === 'divide', + added = {}, + paths = []; + + function addPath(path) { + if (!added[path._id] && (divide || + _path2.contains(path.getPointAt(path.getLength() / 2)) + ^ subtract)) { + paths.unshift(path); + return added[path._id] = true; + } + } + + for (var i = crossings.length - 1; i >= 0; i--) { + var path = crossings[i].split(); + if (path) { + if (addPath(path)) + path.getFirstSegment().setHandleIn(0, 0); + _path1.getLastSegment().setHandleOut(0, 0); + } + } + addPath(_path1); + return createResult(paths, false, path1, path2); + } + + function linkIntersections(from, to) { + var prev = from; + while (prev) { + if (prev === to) + return; + prev = prev._previous; + } + while (from._next && from._next !== to) + from = from._next; + if (!from._next) { + while (to._previous) + to = to._previous; + from._next = to; + to._previous = from; + } + } + + function clearCurveHandles(curves) { + for (var i = curves.length - 1; i >= 0; i--) + curves[i].clearHandles(); + } + + function reorientPaths(paths, isInside, clockwise) { + var length = paths && paths.length; + if (length) { + var lookup = Base.each(paths, function (path, i) { + this[path._id] = { + container: null, + winding: path.isClockwise() ? 1 : -1, + index: i + }; + }, {}), + sorted = paths.slice().sort(function (a, b) { + return abs(b.getArea()) - abs(a.getArea()); + }), + first = sorted[0]; + if (clockwise == null) + clockwise = first.isClockwise(); + for (var i = 0; i < length; i++) { + var path1 = sorted[i], + entry1 = lookup[path1._id], + point = path1.getInteriorPoint(), + containerWinding = 0; + for (var j = i - 1; j >= 0; j--) { + var path2 = sorted[j]; + if (path2.contains(point)) { + var entry2 = lookup[path2._id]; + containerWinding = entry2.winding; + entry1.winding += containerWinding; + entry1.container = entry2.exclude ? entry2.container + : path2; + break; + } + } + if (isInside(entry1.winding) === isInside(containerWinding)) { + entry1.exclude = true; + paths[entry1.index] = null; + } else { + var container = entry1.container; + path1.setClockwise(container ? !container.isClockwise() + : clockwise); + } + } + } + return paths; + } + + function divideLocations(locations, include, clearLater) { + var results = include && [], + tMin = 1e-8, + tMax = 1 - tMin, + clearHandles = false, + clearCurves = clearLater || [], + clearLookup = clearLater && {}, + renormalizeLocs, + prevCurve, + prevTime; + + function getId(curve) { + return curve._path._id + '.' + curve._segment1._index; + } + + for (var i = (clearLater && clearLater.length) - 1; i >= 0; i--) { + var curve = clearLater[i]; + if (curve._path) + clearLookup[getId(curve)] = true; + } + + for (var i = locations.length - 1; i >= 0; i--) { + var loc = locations[i], + time = loc._time, + origTime = time, + exclude = include && !include(loc), + curve = loc._curve, + segment; + if (curve) { + if (curve !== prevCurve) { + clearHandles = !curve.hasHandles() + || clearLookup && clearLookup[getId(curve)]; + renormalizeLocs = []; + prevTime = null; + prevCurve = curve; + } else if (prevTime >= tMin) { + time /= prevTime; + } + } + if (exclude) { + if (renormalizeLocs) + renormalizeLocs.push(loc); + continue; + } else if (include) { + results.unshift(loc); + } + prevTime = origTime; + if (time < tMin) { + segment = curve._segment1; + } else if (time > tMax) { + segment = curve._segment2; + } else { + var newCurve = curve.divideAtTime(time, true); + if (clearHandles) + clearCurves.push(curve, newCurve); + segment = newCurve._segment1; + for (var j = renormalizeLocs.length - 1; j >= 0; j--) { + var l = renormalizeLocs[j]; + l._time = (l._time - time) / (1 - time); + } + } + loc._setSegment(segment); + var inter = segment._intersection, + dest = loc._intersection; + if (inter) { + linkIntersections(inter, dest); + var other = inter; + while (other) { + linkIntersections(other._intersection, inter); + other = other._next; + } + } else { + segment._intersection = dest; + } + } + if (!clearLater) + clearCurveHandles(clearCurves); + return results || locations; + } + + function getWinding(point, curves, dir, closed, dontFlip) { + var ia = dir ? 1 : 0, + io = ia ^ 1, + pv = [point.x, point.y], + pa = pv[ia], + po = pv[io], + windingEpsilon = 1e-9, + qualityEpsilon = 1e-6, + paL = pa - windingEpsilon, + paR = pa + windingEpsilon, + windingL = 0, + windingR = 0, + pathWindingL = 0, + pathWindingR = 0, + onPath = false, + onAnyPath = false, + quality = 1, + roots = [], + vPrev, + vClose; + + function addWinding(v) { + var o0 = v[io + 0], + o3 = v[io + 6]; + if (po < min(o0, o3) || po > max(o0, o3)) { + return; + } + var a0 = v[ia + 0], + a1 = v[ia + 2], + a2 = v[ia + 4], + a3 = v[ia + 6]; + if (o0 === o3) { + if (a0 < paR && a3 > paL || a3 < paR && a0 > paL) { + onPath = true; + } + return; + } + var t = po === o0 ? 0 + : po === o3 ? 1 + : paL > max(a0, a1, a2, a3) || paR < min(a0, a1, a2, a3) + ? 1 + : Curve.solveCubic(v, io, po, roots, 0, 1) > 0 + ? roots[0] + : 1, + a = t === 0 ? a0 + : t === 1 ? a3 + : Curve.getPoint(v, t)[dir ? 'y' : 'x'], + winding = o0 > o3 ? 1 : -1, + windingPrev = vPrev[io] > vPrev[io + 6] ? 1 : -1, + a3Prev = vPrev[ia + 6]; + if (po !== o0) { + if (a < paL) { + pathWindingL += winding; + } else if (a > paR) { + pathWindingR += winding; + } else { + onPath = true; + } + if (a > pa - qualityEpsilon && a < pa + qualityEpsilon) + quality /= 2; + } else { + if (winding !== windingPrev) { + if (a0 < paL) { + pathWindingL += winding; + } else if (a0 > paR) { + pathWindingR += winding; + } + } else if (a0 != a3Prev) { + if (a3Prev < paR && a > paR) { + pathWindingR += winding; + onPath = true; + } else if (a3Prev > paL && a < paL) { + pathWindingL += winding; + onPath = true; + } + } + quality = 0; + } + vPrev = v; + return !dontFlip && a > paL && a < paR + && Curve.getTangent(v, t)[dir ? 'x' : 'y'] === 0 + && getWinding(point, curves, !dir, closed, true); + } + + function handleCurve(v) { + var o0 = v[io + 0], + o1 = v[io + 2], + o2 = v[io + 4], + o3 = v[io + 6]; + if (po <= max(o0, o1, o2, o3) && po >= min(o0, o1, o2, o3)) { + var a0 = v[ia + 0], + a1 = v[ia + 2], + a2 = v[ia + 4], + a3 = v[ia + 6], + monoCurves = paL > max(a0, a1, a2, a3) || + paR < min(a0, a1, a2, a3) + ? [v] : Curve.getMonoCurves(v, dir), + res; + for (var i = 0, l = monoCurves.length; i < l; i++) { + if (res = addWinding(monoCurves[i])) + return res; + } + } + } + + for (var i = 0, l = curves.length; i < l; i++) { + var curve = curves[i], + path = curve._path, + v = curve.getValues(), + res; + if (!i || curves[i - 1]._path !== path) { + vPrev = null; + if (!path._closed) { + vClose = Curve.getValues( + path.getLastCurve().getSegment2(), + curve.getSegment1(), + null, !closed); + if (vClose[io] !== vClose[io + 6]) { + vPrev = vClose; + } + } + + if (!vPrev) { + vPrev = v; + var prev = path.getLastCurve(); + while (prev && prev !== curve) { + var v2 = prev.getValues(); + if (v2[io] !== v2[io + 6]) { + vPrev = v2; + break; + } + prev = prev.getPrevious(); + } + } + } + + if (res = handleCurve(v)) + return res; + + if (i + 1 === l || curves[i + 1]._path !== path) { + if (vClose && (res = handleCurve(vClose))) + return res; + if (onPath && !pathWindingL && !pathWindingR) { + pathWindingL = pathWindingR = path.isClockwise(closed) ^ dir + ? 1 : -1; + } + windingL += pathWindingL; + windingR += pathWindingR; + pathWindingL = pathWindingR = 0; + if (onPath) { + onAnyPath = true; + onPath = false; + } + vClose = null; + } + } + windingL = abs(windingL); + windingR = abs(windingR); + return { + winding: max(windingL, windingR), + windingL: windingL, + windingR: windingR, + quality: quality, + onPath: onAnyPath + }; + } + + function propagateWinding(segment, path1, path2, curves, operator) { + var chain = [], + start = segment, + totalLength = 0, + winding; + do { + var curve = segment.getCurve(), + length = curve.getLength(); + chain.push({ segment: segment, curve: curve, length: length }); + totalLength += length; + segment = segment.getNext(); + } while (segment && !segment._intersection && segment !== start); + var offsets = [0.5, 0.25, 0.75], + winding = { winding: 0, quality: -1 }, + tMin = 1e-8, + tMax = 1 - tMin; + for (var i = 0; i < offsets.length && winding.quality < 0.5; i++) { + var length = totalLength * offsets[i]; + for (var j = 0, l = chain.length; j < l; j++) { + var entry = chain[j], + curveLength = entry.length; + if (length <= curveLength) { + var curve = entry.curve, + path = curve._path, + parent = path._parent, + operand = parent instanceof CompoundPath ? parent : path, + t = Numerical.clamp(curve.getTimeAt(length), tMin, tMax), + pt = curve.getPointAtTime(t), + dir = abs(curve.getTangentAtTime(t).y) < Math.SQRT1_2; + var wind = null; + if (operator.subtract && path2) { + var pathWinding = operand === path1 + ? path2._getWinding(pt, dir, true) + : path1._getWinding(pt, dir, true); + if (operand === path1 && pathWinding.winding || + operand === path2 && !pathWinding.winding) { + if (pathWinding.quality < 1) { + continue; + } else { + wind = { winding: 0, quality: 1 }; + } + } + } + wind = wind || getWinding(pt, curves, dir, true); + if (wind.quality > winding.quality) + winding = wind; + break; + } + length -= curveLength; + } + } + for (var j = chain.length - 1; j >= 0; j--) { + chain[j].segment._winding = winding; + } + } + + function tracePaths(segments, operator) { + var paths = [], + starts; + + function isValid(seg) { + var winding; + return !!(seg && !seg._visited && (!operator + || operator[(winding = seg._winding || {}).winding] + && !(operator.unite && winding.winding === 2 + && winding.windingL && winding.windingR))); + } + + function isStart(seg) { + if (seg) { + for (var i = 0, l = starts.length; i < l; i++) { + if (seg === starts[i]) + return true; + } + } + return false; + } + + function visitPath(path) { + var segments = path._segments; + for (var i = 0, l = segments.length; i < l; i++) { + segments[i]._visited = true; + } + } + + function getCrossingSegments(segment, collectStarts) { + var inter = segment._intersection, + start = inter, + crossings = []; + if (collectStarts) + starts = [segment]; + + function collect(inter, end) { + while (inter && inter !== end) { + var other = inter._segment, + path = other && other._path; + if (path) { + var next = other.getNext() || path.getFirstSegment(), + nextInter = next._intersection; + if (other !== segment && (isStart(other) + || isStart(next) + || next && (isValid(other) && (isValid(next) + || nextInter && isValid(nextInter._segment)))) + ) { + crossings.push(other); + } + if (collectStarts) + starts.push(other); + } + inter = inter._next; + } + } + + if (inter) { + collect(inter); + while (inter && inter._prev) + inter = inter._prev; + collect(inter, start); + } + return crossings; + } + + segments.sort(function(seg1, seg2) { + var inter1 = seg1._intersection, + inter2 = seg2._intersection, + over1 = !!(inter1 && inter1._overlap), + over2 = !!(inter2 && inter2._overlap), + path1 = seg1._path, + path2 = seg2._path; + return over1 ^ over2 + ? over1 ? 1 : -1 + : !inter1 ^ !inter2 + ? inter1 ? 1 : -1 + : path1 !== path2 + ? path1._id - path2._id + : seg1._index - seg2._index; + }); + + for (var i = 0, l = segments.length; i < l; i++) { + var seg = segments[i], + valid = isValid(seg), + path = null, + finished = false, + closed = true, + branches = [], + branch, + visited, + handleIn; + if (valid && seg._path._overlapsOnly) { + var path1 = seg._path, + path2 = seg._intersection._segment._path; + if (path1.compare(path2)) { + if (path1.getArea()) + paths.push(path1.clone(false)); + visitPath(path1); + visitPath(path2); + valid = false; + } + } + while (valid) { + var first = !path, + crossings = getCrossingSegments(seg, first), + other = crossings.shift(), + finished = !first && (isStart(seg) || isStart(other)), + cross = !finished && other; + if (first) { + path = new Path(Item.NO_INSERT); + branch = null; + } + if (finished) { + if (seg.isFirst() || seg.isLast()) + closed = seg._path._closed; + seg._visited = true; + break; + } + if (cross && branch) { + branches.push(branch); + branch = null; + } + if (!branch) { + if (cross) + crossings.push(seg); + branch = { + start: path._segments.length, + crossings: crossings, + visited: visited = [], + handleIn: handleIn + }; + } + if (cross) + seg = other; + if (!isValid(seg)) { + path.removeSegments(branch.start); + for (var j = 0, k = visited.length; j < k; j++) { + visited[j]._visited = false; + } + visited.length = 0; + do { + seg = branch && branch.crossings.shift(); + if (!seg || !seg._path) { + seg = null; + branch = branches.pop(); + if (branch) { + visited = branch.visited; + handleIn = branch.handleIn; + } + } + } while (branch && !isValid(seg)); + if (!seg) + break; + } + var next = seg.getNext(); + path.add(new Segment(seg._point, handleIn, + next && seg._handleOut)); + seg._visited = true; + visited.push(seg); + seg = next || seg._path.getFirstSegment(); + handleIn = next && next._handleIn; + } + if (finished) { + if (closed) { + path.getFirstSegment().setHandleIn(handleIn); + path.setClosed(closed); + } + if (path.getArea() !== 0) { + paths.push(path); + } + } + } + return paths; + } + + return { + _getWinding: function(point, dir, closed) { + return getWinding(point, this.getCurves(), dir, closed); + }, + + unite: function(path, options) { + return traceBoolean(this, path, 'unite', options); + }, + + intersect: function(path, options) { + return traceBoolean(this, path, 'intersect', options); + }, + + subtract: function(path, options) { + return traceBoolean(this, path, 'subtract', options); + }, + + exclude: function(path, options) { + return traceBoolean(this, path, 'exclude', options); + }, + + divide: function(path, options) { + return options && (options.trace == false || options.stroke) + ? splitBoolean(this, path, 'divide') + : createResult([ + this.subtract(path, options), + this.intersect(path, options) + ], true, this, path, options); + }, + + resolveCrossings: function() { + var children = this._children, + paths = children || [this]; + + function hasOverlap(seg, path) { + var inter = seg && seg._intersection; + return inter && inter._overlap && inter._path === path; + } + + var hasOverlaps = false, + hasCrossings = false, + intersections = this.getIntersections(null, function(inter) { + return inter.hasOverlap() && (hasOverlaps = true) || + inter.isCrossing() && (hasCrossings = true); + }), + clearCurves = hasOverlaps && hasCrossings && []; + intersections = CurveLocation.expand(intersections); + if (hasOverlaps) { + var overlaps = divideLocations(intersections, function(inter) { + return inter.hasOverlap(); + }, clearCurves); + for (var i = overlaps.length - 1; i >= 0; i--) { + var overlap = overlaps[i], + path = overlap._path, + seg = overlap._segment, + prev = seg.getPrevious(), + next = seg.getNext(); + if (hasOverlap(prev, path) && hasOverlap(next, path)) { + seg.remove(); + prev._handleOut._set(0, 0); + next._handleIn._set(0, 0); + if (prev !== seg && !prev.getCurve().hasLength()) { + next._handleIn.set(prev._handleIn); + prev.remove(); + } + } + } + } + if (hasCrossings) { + divideLocations(intersections, hasOverlaps && function(inter) { + var curve1 = inter.getCurve(), + seg1 = inter.getSegment(), + other = inter._intersection, + curve2 = other._curve, + seg2 = other._segment; + if (curve1 && curve2 && curve1._path && curve2._path) + return true; + if (seg1) + seg1._intersection = null; + if (seg2) + seg2._intersection = null; + }, clearCurves); + if (clearCurves) + clearCurveHandles(clearCurves); + paths = tracePaths(Base.each(paths, function(path) { + Base.push(this, path._segments); + }, [])); + } + var length = paths.length, + item; + if (length > 1 && children) { + if (paths !== children) + this.setChildren(paths); + item = this; + } else if (length === 1 && !children) { + if (paths[0] !== this) + this.setSegments(paths[0].removeSegments()); + item = this; + } + if (!item) { + item = new CompoundPath(Item.NO_INSERT); + item.addChildren(paths); + item = item.reduce(); + item.copyAttributes(this); + this.replaceWith(item); + } + return item; + }, + + reorient: function(nonZero, clockwise) { + var children = this._children; + if (children && children.length) { + this.setChildren(reorientPaths(this.removeChildren(), + function(w) { + return !!(nonZero ? w : w & 1); + }, + clockwise)); + } else if (clockwise !== undefined) { + this.setClockwise(clockwise); + } + return this; + }, + + getInteriorPoint: function() { + var bounds = this.getBounds(), + point = bounds.getCenter(true); + if (!this.contains(point)) { + var curves = this.getCurves(), + y = point.y, + intercepts = [], + roots = []; + for (var i = 0, l = curves.length; i < l; i++) { + var v = curves[i].getValues(), + o0 = v[1], + o1 = v[3], + o2 = v[5], + o3 = v[7]; + if (y >= min(o0, o1, o2, o3) && y <= max(o0, o1, o2, o3)) { + var monoCurves = Curve.getMonoCurves(v); + for (var j = 0, m = monoCurves.length; j < m; j++) { + var mv = monoCurves[j], + mo0 = mv[1], + mo3 = mv[7]; + if ((mo0 !== mo3) && + (y >= mo0 && y <= mo3 || y >= mo3 && y <= mo0)){ + var x = y === mo0 ? mv[0] + : y === mo3 ? mv[6] + : Curve.solveCubic(mv, 1, y, roots, 0, 1) + === 1 + ? Curve.getPoint(mv, roots[0]).x + : (mv[0] + mv[6]) / 2; + intercepts.push(x); + } + } + } + } + if (intercepts.length > 1) { + intercepts.sort(function(a, b) { return a - b; }); + point.x = (intercepts[0] + intercepts[1]) / 2; + } + } + return point; + } + }; +}); + +var PathFlattener = Base.extend({ + _class: 'PathFlattener', + + initialize: function(path, flatness, maxRecursion, ignoreStraight, matrix) { + var curves = [], + parts = [], + length = 0, + minSpan = 1 / (maxRecursion || 32), + segments = path._segments, + segment1 = segments[0], + segment2; + + function addCurve(segment1, segment2) { + var curve = Curve.getValues(segment1, segment2, matrix); + curves.push(curve); + computeParts(curve, segment1._index, 0, 1); + } + + function computeParts(curve, index, t1, t2) { + if ((t2 - t1) > minSpan + && !(ignoreStraight && Curve.isStraight(curve)) + && !Curve.isFlatEnough(curve, flatness || 0.25)) { + var halves = Curve.subdivide(curve, 0.5), + tMid = (t1 + t2) / 2; + computeParts(halves[0], index, t1, tMid); + computeParts(halves[1], index, tMid, t2); + } else { + var dx = curve[6] - curve[0], + dy = curve[7] - curve[1], + dist = Math.sqrt(dx * dx + dy * dy); + if (dist > 0) { + length += dist; + parts.push({ + offset: length, + curve: curve, + index: index, + time: t2, + }); + } + } + } + + for (var i = 1, l = segments.length; i < l; i++) { + segment2 = segments[i]; + addCurve(segment1, segment2); + segment1 = segment2; + } + if (path._closed) + addCurve(segment2 || segment1, segments[0]); + this.curves = curves; + this.parts = parts; + this.length = length; + this.index = 0; + }, + + _get: function(offset) { + var parts = this.parts, + length = parts.length, + start, + i, j = this.index; + for (;;) { + i = j; + if (!j || parts[--j].offset < offset) + break; + } + for (; i < length; i++) { + var part = parts[i]; + if (part.offset >= offset) { + this.index = i; + var prev = parts[i - 1], + prevTime = prev && prev.index === part.index ? prev.time : 0, + prevOffset = prev ? prev.offset : 0; + return { + index: part.index, + time: prevTime + (part.time - prevTime) + * (offset - prevOffset) / (part.offset - prevOffset) + }; + } + } + return { + index: parts[length - 1].index, + time: 1 + }; + }, + + drawPart: function(ctx, from, to) { + var start = this._get(from), + end = this._get(to); + for (var i = start.index, l = end.index; i <= l; i++) { + var curve = Curve.getPart(this.curves[i], + i === start.index ? start.time : 0, + i === end.index ? end.time : 1); + if (i === start.index) + ctx.moveTo(curve[0], curve[1]); + ctx.bezierCurveTo.apply(ctx, curve.slice(2)); + } + } +}, Base.each(Curve._evaluateMethods, + function(name) { + this[name + 'At'] = function(offset) { + var param = this._get(offset); + return Curve[name](this.curves[param.index], param.time); + }; + }, {}) +); + +var PathFitter = Base.extend({ + initialize: function(path) { + var points = this.points = [], + segments = path._segments, + closed = path._closed; + for (var i = 0, prev, l = segments.length; i < l; i++) { + var point = segments[i].point; + if (!prev || !prev.equals(point)) { + points.push(prev = point.clone()); + } + } + if (closed) { + points.unshift(points[points.length - 1]); + points.push(points[1]); + } + this.closed = closed; + }, + + fit: function(error) { + var points = this.points, + length = points.length, + segments = null; + if (length > 0) { + segments = [new Segment(points[0])]; + if (length > 1) { + this.fitCubic(segments, error, 0, length - 1, + points[1].subtract(points[0]), + points[length - 2].subtract(points[length - 1])); + if (this.closed) { + segments.shift(); + segments.pop(); + } + } + } + return segments; + }, + + fitCubic: function(segments, error, first, last, tan1, tan2) { + var points = this.points; + if (last - first === 1) { + var pt1 = points[first], + pt2 = points[last], + dist = pt1.getDistance(pt2) / 3; + this.addCurve(segments, [pt1, pt1.add(tan1.normalize(dist)), + pt2.add(tan2.normalize(dist)), pt2]); + return; + } + var uPrime = this.chordLengthParameterize(first, last), + maxError = Math.max(error, error * error), + split, + parametersInOrder = true; + for (var i = 0; i <= 4; i++) { + var curve = this.generateBezier(first, last, uPrime, tan1, tan2); + var max = this.findMaxError(first, last, curve, uPrime); + if (max.error < error && parametersInOrder) { + this.addCurve(segments, curve); + return; + } + split = max.index; + if (max.error >= maxError) + break; + parametersInOrder = this.reparameterize(first, last, uPrime, curve); + maxError = max.error; + } + var tanCenter = points[split - 1].subtract(points[split + 1]); + this.fitCubic(segments, error, first, split, tan1, tanCenter); + this.fitCubic(segments, error, split, last, tanCenter.negate(), tan2); + }, + + addCurve: function(segments, curve) { + var prev = segments[segments.length - 1]; + prev.setHandleOut(curve[1].subtract(curve[0])); + segments.push(new Segment(curve[3], curve[2].subtract(curve[3]))); + }, + + generateBezier: function(first, last, uPrime, tan1, tan2) { + var epsilon = 1e-12, + abs = Math.abs, + points = this.points, + pt1 = points[first], + pt2 = points[last], + C = [[0, 0], [0, 0]], + X = [0, 0]; + + for (var i = 0, l = last - first + 1; i < l; i++) { + var u = uPrime[i], + t = 1 - u, + b = 3 * u * t, + b0 = t * t * t, + b1 = b * t, + b2 = b * u, + b3 = u * u * u, + a1 = tan1.normalize(b1), + a2 = tan2.normalize(b2), + tmp = points[first + i] + .subtract(pt1.multiply(b0 + b1)) + .subtract(pt2.multiply(b2 + b3)); + C[0][0] += a1.dot(a1); + C[0][1] += a1.dot(a2); + C[1][0] = C[0][1]; + C[1][1] += a2.dot(a2); + X[0] += a1.dot(tmp); + X[1] += a2.dot(tmp); + } + + var detC0C1 = C[0][0] * C[1][1] - C[1][0] * C[0][1], + alpha1, + alpha2; + if (abs(detC0C1) > epsilon) { + var detC0X = C[0][0] * X[1] - C[1][0] * X[0], + detXC1 = X[0] * C[1][1] - X[1] * C[0][1]; + alpha1 = detXC1 / detC0C1; + alpha2 = detC0X / detC0C1; + } else { + var c0 = C[0][0] + C[0][1], + c1 = C[1][0] + C[1][1]; + alpha1 = alpha2 = abs(c0) > epsilon ? X[0] / c0 + : abs(c1) > epsilon ? X[1] / c1 + : 0; + } + + var segLength = pt2.getDistance(pt1), + eps = epsilon * segLength, + handle1, + handle2; + if (alpha1 < eps || alpha2 < eps) { + alpha1 = alpha2 = segLength / 3; + } else { + var line = pt2.subtract(pt1); + handle1 = tan1.normalize(alpha1); + handle2 = tan2.normalize(alpha2); + if (handle1.dot(line) - handle2.dot(line) > segLength * segLength) { + alpha1 = alpha2 = segLength / 3; + handle1 = handle2 = null; + } + } + + return [pt1, + pt1.add(handle1 || tan1.normalize(alpha1)), + pt2.add(handle2 || tan2.normalize(alpha2)), + pt2]; + }, + + reparameterize: function(first, last, u, curve) { + for (var i = first; i <= last; i++) { + u[i - first] = this.findRoot(curve, this.points[i], u[i - first]); + } + for (var i = 1, l = u.length; i < l; i++) { + if (u[i] <= u[i - 1]) + return false; + } + return true; + }, + + findRoot: function(curve, point, u) { + var curve1 = [], + curve2 = []; + for (var i = 0; i <= 2; i++) { + curve1[i] = curve[i + 1].subtract(curve[i]).multiply(3); + } + for (var i = 0; i <= 1; i++) { + curve2[i] = curve1[i + 1].subtract(curve1[i]).multiply(2); + } + var pt = this.evaluate(3, curve, u), + pt1 = this.evaluate(2, curve1, u), + pt2 = this.evaluate(1, curve2, u), + diff = pt.subtract(point), + df = pt1.dot(pt1) + diff.dot(pt2); + return Numerical.isZero(df) ? u : u - diff.dot(pt1) / df; + }, + + evaluate: function(degree, curve, t) { + var tmp = curve.slice(); + for (var i = 1; i <= degree; i++) { + for (var j = 0; j <= degree - i; j++) { + tmp[j] = tmp[j].multiply(1 - t).add(tmp[j + 1].multiply(t)); + } + } + return tmp[0]; + }, + + chordLengthParameterize: function(first, last) { + var u = [0]; + for (var i = first + 1; i <= last; i++) { + u[i - first] = u[i - first - 1] + + this.points[i].getDistance(this.points[i - 1]); + } + for (var i = 1, m = last - first; i <= m; i++) { + u[i] /= u[m]; + } + return u; + }, + + findMaxError: function(first, last, curve, u) { + var index = Math.floor((last - first + 1) / 2), + maxDist = 0; + for (var i = first + 1; i < last; i++) { + var P = this.evaluate(3, curve, u[i - first]); + var v = P.subtract(this.points[i]); + var dist = v.x * v.x + v.y * v.y; + if (dist >= maxDist) { + maxDist = dist; + index = i; + } + } + return { + error: maxDist, + index: index + }; + } +}); + +var TextItem = Item.extend({ + _class: 'TextItem', + _applyMatrix: false, + _canApplyMatrix: false, + _serializeFields: { + content: null + }, + _boundsOptions: { stroke: false, handle: false }, + + initialize: function TextItem(arg) { + this._content = ''; + this._lines = []; + var hasProps = arg && Base.isPlainObject(arg) + && arg.x === undefined && arg.y === undefined; + this._initialize(hasProps && arg, !hasProps && Point.read(arguments)); + }, + + _equals: function(item) { + return this._content === item._content; + }, + + copyContent: function(source) { + this.setContent(source._content); + }, + + getContent: function() { + return this._content; + }, + + setContent: function(content) { + this._content = '' + content; + this._lines = this._content.split(/\r\n|\n|\r/mg); + this._changed(521); + }, + + isEmpty: function() { + return !this._content; + }, + + getCharacterStyle: '#getStyle', + setCharacterStyle: '#setStyle', + + getParagraphStyle: '#getStyle', + setParagraphStyle: '#setStyle' +}); + +var PointText = TextItem.extend({ + _class: 'PointText', + + initialize: function PointText() { + TextItem.apply(this, arguments); + }, + + getPoint: function() { + var point = this._matrix.getTranslation(); + return new LinkedPoint(point.x, point.y, this, 'setPoint'); + }, + + setPoint: function() { + var point = Point.read(arguments); + this.translate(point.subtract(this._matrix.getTranslation())); + }, + + _draw: function(ctx, param, viewMatrix) { + if (!this._content) + return; + this._setStyles(ctx, param, viewMatrix); + var lines = this._lines, + style = this._style, + hasFill = style.hasFill(), + hasStroke = style.hasStroke(), + leading = style.getLeading(), + shadowColor = ctx.shadowColor; + ctx.font = style.getFontStyle(); + ctx.textAlign = style.getJustification(); + for (var i = 0, l = lines.length; i < l; i++) { + ctx.shadowColor = shadowColor; + var line = lines[i]; + if (hasFill) { + ctx.fillText(line, 0, 0); + ctx.shadowColor = 'rgba(0,0,0,0)'; + } + if (hasStroke) + ctx.strokeText(line, 0, 0); + ctx.translate(0, leading); + } + }, + + _getBounds: function(matrix, options) { + var style = this._style, + lines = this._lines, + numLines = lines.length, + justification = style.getJustification(), + leading = style.getLeading(), + width = this.getView().getTextWidth(style.getFontStyle(), lines), + x = 0; + if (justification !== 'left') + x -= width / (justification === 'center' ? 2: 1); + var rect = new Rectangle(x, + numLines ? - 0.75 * leading : 0, + width, numLines * leading); + return matrix ? matrix._transformBounds(rect, rect) : rect; + } +}); + +var Color = Base.extend(new function() { + var types = { + gray: ['gray'], + rgb: ['red', 'green', 'blue'], + hsb: ['hue', 'saturation', 'brightness'], + hsl: ['hue', 'saturation', 'lightness'], + gradient: ['gradient', 'origin', 'destination', 'highlight'] + }; + + var componentParsers = {}, + namedColors = { + transparent: [0, 0, 0, 0] + }, + colorCtx; + + function fromCSS(string) { + var match = string.match( + /^#([\da-f]{2})([\da-f]{2})([\da-f]{2})([\da-f]{2})?$/i + ) || string.match( + /^#([\da-f])([\da-f])([\da-f])([\da-f])?$/i + ), + type = 'rgb', + components; + if (match) { + var amount = match[4] ? 4 : 3; + components = new Array(amount); + for (var i = 0; i < amount; i++) { + var value = match[i + 1]; + components[i] = parseInt(value.length == 1 + ? value + value : value, 16) / 255; + } + } else if (match = string.match(/^(rgb|hsl)a?\((.*)\)$/)) { + type = match[1]; + components = match[2].split(/[,\s]+/g); + var isHSL = type === 'hsl'; + for (var i = 0, l = Math.min(components.length, 4); i < l; i++) { + var component = components[i]; + var value = parseFloat(component); + if (isHSL) { + if (i === 0) { + var unit = component.match(/([a-z]*)$/)[1]; + value *= ({ + turn: 360, + rad: 180 / Math.PI, + grad: 0.9 + }[unit] || 1); + } else if (i < 3) { + value /= 100; + } + } else if (i < 3) { + value /= 255; + } + components[i] = value; + } + } else { + var color = namedColors[string]; + if (!color) { + if (window) { + if (!colorCtx) { + colorCtx = CanvasProvider.getContext(1, 1); + colorCtx.globalCompositeOperation = 'copy'; + } + colorCtx.fillStyle = 'rgba(0,0,0,0)'; + colorCtx.fillStyle = string; + colorCtx.fillRect(0, 0, 1, 1); + var data = colorCtx.getImageData(0, 0, 1, 1).data; + color = namedColors[string] = [ + data[0] / 255, + data[1] / 255, + data[2] / 255 + ]; + } else { + color = [0, 0, 0]; + } + } + components = color.slice(); + } + return [type, components]; + } + + var hsbIndices = [ + [0, 3, 1], + [2, 0, 1], + [1, 0, 3], + [1, 2, 0], + [3, 1, 0], + [0, 1, 2] + ]; + + var converters = { + 'rgb-hsb': function(r, g, b) { + var max = Math.max(r, g, b), + min = Math.min(r, g, b), + delta = max - min, + h = delta === 0 ? 0 + : ( max == r ? (g - b) / delta + (g < b ? 6 : 0) + : max == g ? (b - r) / delta + 2 + : (r - g) / delta + 4) * 60; + return [h, max === 0 ? 0 : delta / max, max]; + }, + + 'hsb-rgb': function(h, s, b) { + h = (((h / 60) % 6) + 6) % 6; + var i = Math.floor(h), + f = h - i, + i = hsbIndices[i], + v = [ + b, + b * (1 - s), + b * (1 - s * f), + b * (1 - s * (1 - f)) + ]; + return [v[i[0]], v[i[1]], v[i[2]]]; + }, + + 'rgb-hsl': function(r, g, b) { + var max = Math.max(r, g, b), + min = Math.min(r, g, b), + delta = max - min, + achromatic = delta === 0, + h = achromatic ? 0 + : ( max == r ? (g - b) / delta + (g < b ? 6 : 0) + : max == g ? (b - r) / delta + 2 + : (r - g) / delta + 4) * 60, + l = (max + min) / 2, + s = achromatic ? 0 : l < 0.5 + ? delta / (max + min) + : delta / (2 - max - min); + return [h, s, l]; + }, + + 'hsl-rgb': function(h, s, l) { + h = (((h / 360) % 1) + 1) % 1; + if (s === 0) + return [l, l, l]; + var t3s = [ h + 1 / 3, h, h - 1 / 3 ], + t2 = l < 0.5 ? l * (1 + s) : l + s - l * s, + t1 = 2 * l - t2, + c = []; + for (var i = 0; i < 3; i++) { + var t3 = t3s[i]; + if (t3 < 0) t3 += 1; + if (t3 > 1) t3 -= 1; + c[i] = 6 * t3 < 1 + ? t1 + (t2 - t1) * 6 * t3 + : 2 * t3 < 1 + ? t2 + : 3 * t3 < 2 + ? t1 + (t2 - t1) * ((2 / 3) - t3) * 6 + : t1; + } + return c; + }, + + 'rgb-gray': function(r, g, b) { + return [r * 0.2989 + g * 0.587 + b * 0.114]; + }, + + 'gray-rgb': function(g) { + return [g, g, g]; + }, + + 'gray-hsb': function(g) { + return [0, 0, g]; + }, + + 'gray-hsl': function(g) { + return [0, 0, g]; + }, + + 'gradient-rgb': function() { + return []; + }, + + 'rgb-gradient': function() { + return []; + } + + }; + + return Base.each(types, function(properties, type) { + componentParsers[type] = []; + Base.each(properties, function(name, index) { + var part = Base.capitalize(name), + hasOverlap = /^(hue|saturation)$/.test(name), + parser = componentParsers[type][index] = type === 'gradient' + ? name === 'gradient' + ? function(value) { + var current = this._components[0]; + value = Gradient.read( + Array.isArray(value) + ? value + : arguments, 0, { readNull: true } + ); + if (current !== value) { + if (current) + current._removeOwner(this); + if (value) + value._addOwner(this); + } + return value; + } + : function() { + return Point.read(arguments, 0, { + readNull: name === 'highlight', + clone: true + }); + } + : function(value) { + return value == null || isNaN(value) ? 0 : +value; + }; + this['get' + part] = function() { + return this._type === type + || hasOverlap && /^hs[bl]$/.test(this._type) + ? this._components[index] + : this._convert(type)[index]; + }; + + this['set' + part] = function(value) { + if (this._type !== type + && !(hasOverlap && /^hs[bl]$/.test(this._type))) { + this._components = this._convert(type); + this._properties = types[type]; + this._type = type; + } + this._components[index] = parser.call(this, value); + this._changed(); + }; + }, this); + }, { + _class: 'Color', + _readIndex: true, + + initialize: function Color(arg) { + var args = arguments, + reading = this.__read, + read = 0, + type, + components, + alpha, + values; + if (Array.isArray(arg)) { + args = arg; + arg = args[0]; + } + var argType = arg != null && typeof arg; + if (argType === 'string' && arg in types) { + type = arg; + arg = args[1]; + if (Array.isArray(arg)) { + components = arg; + alpha = args[2]; + } else { + if (reading) + read = 1; + args = Base.slice(args, 1); + argType = typeof arg; + } + } + if (!components) { + values = argType === 'number' + ? args + : argType === 'object' && arg.length != null + ? arg + : null; + if (values) { + if (!type) + type = values.length >= 3 + ? 'rgb' + : 'gray'; + var length = types[type].length; + alpha = values[length]; + if (reading) { + read += values === arguments + ? length + (alpha != null ? 1 : 0) + : 1; + } + if (values.length > length) + values = Base.slice(values, 0, length); + } else if (argType === 'string') { + var converted = fromCSS(arg); + type = converted[0]; + components = converted[1]; + if (components.length === 4) { + alpha = components[3]; + components.length--; + } + } else if (argType === 'object') { + if (arg.constructor === Color) { + type = arg._type; + components = arg._components.slice(); + alpha = arg._alpha; + if (type === 'gradient') { + for (var i = 1, l = components.length; i < l; i++) { + var point = components[i]; + if (point) + components[i] = point.clone(); + } + } + } else if (arg.constructor === Gradient) { + type = 'gradient'; + values = args; + } else { + type = 'hue' in arg + ? 'lightness' in arg + ? 'hsl' + : 'hsb' + : 'gradient' in arg || 'stops' in arg + || 'radial' in arg + ? 'gradient' + : 'gray' in arg + ? 'gray' + : 'rgb'; + var properties = types[type], + parsers = componentParsers[type]; + this._components = components = []; + for (var i = 0, l = properties.length; i < l; i++) { + var value = arg[properties[i]]; + if (value == null && !i && type === 'gradient' + && 'stops' in arg) { + value = { + stops: arg.stops, + radial: arg.radial + }; + } + value = parsers[i].call(this, value); + if (value != null) + components[i] = value; + } + alpha = arg.alpha; + } + } + if (reading && type) + read = 1; + } + this._type = type || 'rgb'; + if (!components) { + this._components = components = []; + var parsers = componentParsers[this._type]; + for (var i = 0, l = parsers.length; i < l; i++) { + var value = parsers[i].call(this, values && values[i]); + if (value != null) + components[i] = value; + } + } + this._components = components; + this._properties = types[this._type]; + this._alpha = alpha; + if (reading) + this.__read = read; + return this; + }, + + set: '#initialize', + + _serialize: function(options, dictionary) { + var components = this.getComponents(); + return Base.serialize( + /^(gray|rgb)$/.test(this._type) + ? components + : [this._type].concat(components), + options, true, dictionary); + }, + + _changed: function() { + this._canvasStyle = null; + if (this._owner) + this._owner._changed(129); + }, + + _convert: function(type) { + var converter; + return this._type === type + ? this._components.slice() + : (converter = converters[this._type + '-' + type]) + ? converter.apply(this, this._components) + : converters['rgb-' + type].apply(this, + converters[this._type + '-rgb'].apply(this, + this._components)); + }, + + convert: function(type) { + return new Color(type, this._convert(type), this._alpha); + }, + + getType: function() { + return this._type; + }, + + setType: function(type) { + this._components = this._convert(type); + this._properties = types[type]; + this._type = type; + }, + + getComponents: function() { + var components = this._components.slice(); + if (this._alpha != null) + components.push(this._alpha); + return components; + }, + + getAlpha: function() { + return this._alpha != null ? this._alpha : 1; + }, + + setAlpha: function(alpha) { + this._alpha = alpha == null ? null : Math.min(Math.max(alpha, 0), 1); + this._changed(); + }, + + hasAlpha: function() { + return this._alpha != null; + }, + + equals: function(color) { + var col = Base.isPlainValue(color, true) + ? Color.read(arguments) + : color; + return col === this || col && this._class === col._class + && this._type === col._type + && this.getAlpha() === col.getAlpha() + && Base.equals(this._components, col._components) + || false; + }, + + toString: function() { + var properties = this._properties, + parts = [], + isGradient = this._type === 'gradient', + f = Formatter.instance; + for (var i = 0, l = properties.length; i < l; i++) { + var value = this._components[i]; + if (value != null) + parts.push(properties[i] + ': ' + + (isGradient ? value : f.number(value))); + } + if (this._alpha != null) + parts.push('alpha: ' + f.number(this._alpha)); + return '{ ' + parts.join(', ') + ' }'; + }, + + toCSS: function(hex) { + var components = this._convert('rgb'), + alpha = hex || this._alpha == null ? 1 : this._alpha; + function convert(val) { + return Math.round((val < 0 ? 0 : val > 1 ? 1 : val) * 255); + } + components = [ + convert(components[0]), + convert(components[1]), + convert(components[2]) + ]; + if (alpha < 1) + components.push(alpha < 0 ? 0 : alpha); + return hex + ? '#' + ((1 << 24) + (components[0] << 16) + + (components[1] << 8) + + components[2]).toString(16).slice(1) + : (components.length == 4 ? 'rgba(' : 'rgb(') + + components.join(',') + ')'; + }, + + toCanvasStyle: function(ctx, matrix) { + if (this._canvasStyle) + return this._canvasStyle; + if (this._type !== 'gradient') + return this._canvasStyle = this.toCSS(); + var components = this._components, + gradient = components[0], + stops = gradient._stops, + origin = components[1], + destination = components[2], + highlight = components[3], + inverse = matrix && matrix.inverted(), + canvasGradient; + if (inverse) { + origin = inverse._transformPoint(origin); + destination = inverse._transformPoint(destination); + if (highlight) + highlight = inverse._transformPoint(highlight); + } + if (gradient._radial) { + var radius = destination.getDistance(origin); + if (highlight) { + var vector = highlight.subtract(origin); + if (vector.getLength() > radius) + highlight = origin.add(vector.normalize(radius - 0.1)); + } + var start = highlight || origin; + canvasGradient = ctx.createRadialGradient(start.x, start.y, + 0, origin.x, origin.y, radius); + } else { + canvasGradient = ctx.createLinearGradient(origin.x, origin.y, + destination.x, destination.y); + } + for (var i = 0, l = stops.length; i < l; i++) { + var stop = stops[i], + offset = stop._offset; + canvasGradient.addColorStop( + offset == null ? i / (l - 1) : offset, + stop._color.toCanvasStyle()); + } + return this._canvasStyle = canvasGradient; + }, + + transform: function(matrix) { + if (this._type === 'gradient') { + var components = this._components; + for (var i = 1, l = components.length; i < l; i++) { + var point = components[i]; + matrix._transformPoint(point, point, true); + } + this._changed(); + } + }, + + statics: { + _types: types, + + random: function() { + var random = Math.random; + return new Color(random(), random(), random()); + } + } + }); +}, +new function() { + var operators = { + add: function(a, b) { + return a + b; + }, + + subtract: function(a, b) { + return a - b; + }, + + multiply: function(a, b) { + return a * b; + }, + + divide: function(a, b) { + return a / b; + } + }; + + return Base.each(operators, function(operator, name) { + this[name] = function(color) { + color = Color.read(arguments); + var type = this._type, + components1 = this._components, + components2 = color._convert(type); + for (var i = 0, l = components1.length; i < l; i++) + components2[i] = operator(components1[i], components2[i]); + return new Color(type, components2, + this._alpha != null + ? operator(this._alpha, color.getAlpha()) + : null); + }; + }, { + }); +}); + +var Gradient = Base.extend({ + _class: 'Gradient', + + initialize: function Gradient(stops, radial) { + this._id = UID.get(); + if (stops && Base.isPlainObject(stops)) { + this.set(stops); + stops = radial = null; + } + if (this._stops == null) { + this.setStops(stops || ['white', 'black']); + } + if (this._radial == null) { + this.setRadial(typeof radial === 'string' && radial === 'radial' + || radial || false); + } + }, + + _serialize: function(options, dictionary) { + return dictionary.add(this, function() { + return Base.serialize([this._stops, this._radial], + options, true, dictionary); + }); + }, + + _changed: function() { + for (var i = 0, l = this._owners && this._owners.length; i < l; i++) { + this._owners[i]._changed(); + } + }, + + _addOwner: function(color) { + if (!this._owners) + this._owners = []; + this._owners.push(color); + }, + + _removeOwner: function(color) { + var index = this._owners ? this._owners.indexOf(color) : -1; + if (index != -1) { + this._owners.splice(index, 1); + if (!this._owners.length) + this._owners = undefined; + } + }, + + clone: function() { + var stops = []; + for (var i = 0, l = this._stops.length; i < l; i++) { + stops[i] = this._stops[i].clone(); + } + return new Gradient(stops, this._radial); + }, + + getStops: function() { + return this._stops; + }, + + setStops: function(stops) { + if (stops.length < 2) { + throw new Error( + 'Gradient stop list needs to contain at least two stops.'); + } + var _stops = this._stops; + if (_stops) { + for (var i = 0, l = _stops.length; i < l; i++) + _stops[i]._owner = undefined; + } + _stops = this._stops = GradientStop.readList(stops, 0, { clone: true }); + for (var i = 0, l = _stops.length; i < l; i++) + _stops[i]._owner = this; + this._changed(); + }, + + getRadial: function() { + return this._radial; + }, + + setRadial: function(radial) { + this._radial = radial; + this._changed(); + }, + + equals: function(gradient) { + if (gradient === this) + return true; + if (gradient && this._class === gradient._class) { + var stops1 = this._stops, + stops2 = gradient._stops, + length = stops1.length; + if (length === stops2.length) { + for (var i = 0; i < length; i++) { + if (!stops1[i].equals(stops2[i])) + return false; + } + return true; + } + } + return false; + } +}); + +var GradientStop = Base.extend({ + _class: 'GradientStop', + + initialize: function GradientStop(arg0, arg1) { + var color = arg0, + offset = arg1; + if (typeof arg0 === 'object' && arg1 === undefined) { + if (Array.isArray(arg0) && typeof arg0[0] !== 'number') { + color = arg0[0]; + offset = arg0[1]; + } else if ('color' in arg0 || 'offset' in arg0 + || 'rampPoint' in arg0) { + color = arg0.color; + offset = arg0.offset || arg0.rampPoint || 0; + } + } + this.setColor(color); + this.setOffset(offset); + }, + + clone: function() { + return new GradientStop(this._color.clone(), this._offset); + }, + + _serialize: function(options, dictionary) { + var color = this._color, + offset = this._offset; + return Base.serialize(offset == null ? [color] : [color, offset], + options, true, dictionary); + }, + + _changed: function() { + if (this._owner) + this._owner._changed(129); + }, + + getOffset: function() { + return this._offset; + }, + + setOffset: function(offset) { + this._offset = offset; + this._changed(); + }, + + getRampPoint: '#getOffset', + setRampPoint: '#setOffset', + + getColor: function() { + return this._color; + }, + + setColor: function() { + var color = Color.read(arguments, 0, { clone: true }); + if (color) + color._owner = this; + this._color = color; + this._changed(); + }, + + equals: function(stop) { + return stop === this || stop && this._class === stop._class + && this._color.equals(stop._color) + && this._offset == stop._offset + || false; + } +}); + +var Style = Base.extend(new function() { + var itemDefaults = { + fillColor: null, + fillRule: 'nonzero', + strokeColor: null, + strokeWidth: 1, + strokeCap: 'butt', + strokeJoin: 'miter', + strokeScaling: true, + miterLimit: 10, + dashOffset: 0, + dashArray: [], + shadowColor: null, + shadowBlur: 0, + shadowOffset: new Point(), + selectedColor: null + }, + groupDefaults = Base.set({}, itemDefaults, { + fontFamily: 'sans-serif', + fontWeight: 'normal', + fontSize: 12, + leading: null, + justification: 'left' + }), + textDefaults = Base.set({}, groupDefaults, { + fillColor: new Color() + }), + flags = { + strokeWidth: 193, + strokeCap: 193, + strokeJoin: 193, + strokeScaling: 201, + miterLimit: 193, + fontFamily: 9, + fontWeight: 9, + fontSize: 9, + font: 9, + leading: 9, + justification: 9 + }, + item = { + beans: true + }, + fields = { + _class: 'Style', + beans: true, + + initialize: function Style(style, _owner, _project) { + this._values = {}; + this._owner = _owner; + this._project = _owner && _owner._project || _project + || paper.project; + this._defaults = !_owner || _owner instanceof Group ? groupDefaults + : _owner instanceof TextItem ? textDefaults + : itemDefaults; + if (style) + this.set(style); + } + }; + + Base.each(groupDefaults, function(value, key) { + var isColor = /Color$/.test(key), + isPoint = key === 'shadowOffset', + part = Base.capitalize(key), + flag = flags[key], + set = 'set' + part, + get = 'get' + part; + + fields[set] = function(value) { + var owner = this._owner, + children = owner && owner._children; + if (children && children.length > 0 + && !(owner instanceof CompoundPath)) { + for (var i = 0, l = children.length; i < l; i++) + children[i]._style[set](value); + } else if (key in this._defaults) { + var old = this._values[key]; + if (old !== value) { + if (isColor) { + if (old && old._owner !== undefined) { + old._owner = undefined; + old._canvasStyle = null; + } + if (value && value.constructor === Color) { + if (value._owner) + value = value.clone(); + value._owner = owner; + } + } + this._values[key] = value; + if (owner) + owner._changed(flag || 129); + } + } + }; + + fields[get] = function(_dontMerge) { + var owner = this._owner, + children = owner && owner._children, + value; + if (key in this._defaults && (!children || !children.length + || _dontMerge || owner instanceof CompoundPath)) { + var value = this._values[key]; + if (value === undefined) { + value = this._defaults[key]; + if (value && value.clone) + value = value.clone(); + } else { + var ctor = isColor ? Color : isPoint ? Point : null; + if (ctor && !(value && value.constructor === ctor)) { + this._values[key] = value = ctor.read([value], 0, + { readNull: true, clone: true }); + if (value && isColor) + value._owner = owner; + } + } + } else if (children) { + for (var i = 0, l = children.length; i < l; i++) { + var childValue = children[i]._style[get](); + if (!i) { + value = childValue; + } else if (!Base.equals(value, childValue)) { + return undefined; + } + } + } + return value; + }; + + item[get] = function(_dontMerge) { + return this._style[get](_dontMerge); + }; + + item[set] = function(value) { + this._style[set](value); + }; + }); + + Base.each({ + Font: 'FontFamily', + WindingRule: 'FillRule' + }, function(value, key) { + var get = 'get' + key, + set = 'set' + key; + fields[get] = item[get] = '#get' + value; + fields[set] = item[set] = '#set' + value; + }); + + Item.inject(item); + return fields; +}, { + set: function(style) { + var isStyle = style instanceof Style, + values = isStyle ? style._values : style; + if (values) { + for (var key in values) { + if (key in this._defaults) { + var value = values[key]; + this[key] = value && isStyle && value.clone + ? value.clone() : value; + } + } + } + }, + + equals: function(style) { + function compare(style1, style2, secondary) { + var values1 = style1._values, + values2 = style2._values, + defaults2 = style2._defaults; + for (var key in values1) { + var value1 = values1[key], + value2 = values2[key]; + if (!(secondary && key in values2) && !Base.equals(value1, + value2 === undefined ? defaults2[key] : value2)) + return false; + } + return true; + } + + return style === this || style && this._class === style._class + && compare(this, style) + && compare(style, this, true) + || false; + }, + + _dispose: function() { + var color; + color = this.getFillColor(); + if (color) color._canvasStyle = null; + color = this.getStrokeColor(); + if (color) color._canvasStyle = null; + color = this.getShadowColor(); + if (color) color._canvasStyle = null; + }, + + hasFill: function() { + var color = this.getFillColor(); + return !!color && color.alpha > 0; + }, + + hasStroke: function() { + var color = this.getStrokeColor(); + return !!color && color.alpha > 0 && this.getStrokeWidth() > 0; + }, + + hasShadow: function() { + var color = this.getShadowColor(); + return !!color && color.alpha > 0 && (this.getShadowBlur() > 0 + || !this.getShadowOffset().isZero()); + }, + + getView: function() { + return this._project._view; + }, + + getFontStyle: function() { + var fontSize = this.getFontSize(); + return this.getFontWeight() + + ' ' + fontSize + (/[a-z]/i.test(fontSize + '') ? ' ' : 'px ') + + this.getFontFamily(); + }, + + getFont: '#getFontFamily', + setFont: '#setFontFamily', + + getLeading: function getLeading() { + var leading = getLeading.base.call(this), + fontSize = this.getFontSize(); + if (/pt|em|%|px/.test(fontSize)) + fontSize = this.getView().getPixelSize(fontSize); + return leading != null ? leading : fontSize * 1.2; + } + +}); + +var DomElement = new function() { + function handlePrefix(el, name, set, value) { + var prefixes = ['', 'webkit', 'moz', 'Moz', 'ms', 'o'], + suffix = name[0].toUpperCase() + name.substring(1); + for (var i = 0; i < 6; i++) { + var prefix = prefixes[i], + key = prefix ? prefix + suffix : name; + if (key in el) { + if (set) { + el[key] = value; + } else { + return el[key]; + } + break; + } + } + } + + return { + getStyles: function(el) { + var doc = el && el.nodeType !== 9 ? el.ownerDocument : el, + view = doc && doc.defaultView; + return view && view.getComputedStyle(el, ''); + }, + + getBounds: function(el, viewport) { + var doc = el.ownerDocument, + body = doc.body, + html = doc.documentElement, + rect; + try { + rect = el.getBoundingClientRect(); + } catch (e) { + rect = { left: 0, top: 0, width: 0, height: 0 }; + } + var x = rect.left - (html.clientLeft || body.clientLeft || 0), + y = rect.top - (html.clientTop || body.clientTop || 0); + if (!viewport) { + var view = doc.defaultView; + x += view.pageXOffset || html.scrollLeft || body.scrollLeft; + y += view.pageYOffset || html.scrollTop || body.scrollTop; + } + return new Rectangle(x, y, rect.width, rect.height); + }, + + getViewportBounds: function(el) { + var doc = el.ownerDocument, + view = doc.defaultView, + html = doc.documentElement; + return new Rectangle(0, 0, + view.innerWidth || html.clientWidth, + view.innerHeight || html.clientHeight + ); + }, + + getOffset: function(el, viewport) { + return DomElement.getBounds(el, viewport).getPoint(); + }, + + getSize: function(el) { + return DomElement.getBounds(el, true).getSize(); + }, + + isInvisible: function(el) { + return DomElement.getSize(el).equals(new Size(0, 0)); + }, + + isInView: function(el) { + return !DomElement.isInvisible(el) + && DomElement.getViewportBounds(el).intersects( + DomElement.getBounds(el, true)); + }, + + isInserted: function(el) { + return document.body.contains(el); + }, + + getPrefixed: function(el, name) { + return el && handlePrefix(el, name); + }, + + setPrefixed: function(el, name, value) { + if (typeof name === 'object') { + for (var key in name) + handlePrefix(el, key, true, name[key]); + } else { + handlePrefix(el, name, true, value); + } + } + }; +}; + +var DomEvent = { + add: function(el, events) { + if (el) { + for (var type in events) { + var func = events[type], + parts = type.split(/[\s,]+/g); + for (var i = 0, l = parts.length; i < l; i++) { + var name = parts[i]; + var options = ( + el === document + && (name === 'touchstart' || name === 'touchmove') + ) ? { passive: false } : false; + el.addEventListener(name, func, options); + } + } + } + }, + + remove: function(el, events) { + if (el) { + for (var type in events) { + var func = events[type], + parts = type.split(/[\s,]+/g); + for (var i = 0, l = parts.length; i < l; i++) + el.removeEventListener(parts[i], func, false); + } + } + }, + + getPoint: function(event) { + var pos = event.targetTouches + ? event.targetTouches.length + ? event.targetTouches[0] + : event.changedTouches[0] + : event; + return new Point( + pos.pageX || pos.clientX + document.documentElement.scrollLeft, + pos.pageY || pos.clientY + document.documentElement.scrollTop + ); + }, + + getTarget: function(event) { + return event.target || event.srcElement; + }, + + getRelatedTarget: function(event) { + return event.relatedTarget || event.toElement; + }, + + getOffset: function(event, target) { + return DomEvent.getPoint(event).subtract(DomElement.getOffset( + target || DomEvent.getTarget(event))); + } +}; + +DomEvent.requestAnimationFrame = new function() { + var nativeRequest = DomElement.getPrefixed(window, 'requestAnimationFrame'), + requested = false, + callbacks = [], + timer; + + function handleCallbacks() { + var functions = callbacks; + callbacks = []; + for (var i = 0, l = functions.length; i < l; i++) + functions[i](); + requested = nativeRequest && callbacks.length; + if (requested) + nativeRequest(handleCallbacks); + } + + return function(callback) { + callbacks.push(callback); + if (nativeRequest) { + if (!requested) { + nativeRequest(handleCallbacks); + requested = true; + } + } else if (!timer) { + timer = setInterval(handleCallbacks, 1000 / 60); + } + }; +}; + +var View = Base.extend(Emitter, { + _class: 'View', + + initialize: function View(project, element) { + + function getSize(name) { + return element[name] || parseInt(element.getAttribute(name), 10); + } + + function getCanvasSize() { + var size = DomElement.getSize(element); + return size.isNaN() || size.isZero() + ? new Size(getSize('width'), getSize('height')) + : size; + } + + var size; + if (window && element) { + this._id = element.getAttribute('id'); + if (this._id == null) + element.setAttribute('id', this._id = 'view-' + View._id++); + DomEvent.add(element, this._viewEvents); + var none = 'none'; + DomElement.setPrefixed(element.style, { + userDrag: none, + userSelect: none, + touchCallout: none, + contentZooming: none, + tapHighlightColor: 'rgba(0,0,0,0)' + }); + + if (PaperScope.hasAttribute(element, 'resize')) { + var that = this; + DomEvent.add(window, this._windowEvents = { + resize: function() { + that.setViewSize(getCanvasSize()); + } + }); + } + + size = getCanvasSize(); + + if (PaperScope.hasAttribute(element, 'stats') + && typeof Stats !== 'undefined') { + this._stats = new Stats(); + var stats = this._stats.domElement, + style = stats.style, + offset = DomElement.getOffset(element); + style.position = 'absolute'; + style.left = offset.x + 'px'; + style.top = offset.y + 'px'; + document.body.appendChild(stats); + } + } else { + size = new Size(element); + element = null; + } + this._project = project; + this._scope = project._scope; + this._element = element; + if (!this._pixelRatio) + this._pixelRatio = window && window.devicePixelRatio || 1; + this._setElementSize(size.width, size.height); + this._viewSize = size; + View._views.push(this); + View._viewsById[this._id] = this; + (this._matrix = new Matrix())._owner = this; + if (!View._focused) + View._focused = this; + this._frameItems = {}; + this._frameItemCount = 0; + this._itemEvents = { native: {}, virtual: {} }; + this._autoUpdate = !paper.agent.node; + this._needsUpdate = false; + }, + + remove: function() { + if (!this._project) + return false; + if (View._focused === this) + View._focused = null; + View._views.splice(View._views.indexOf(this), 1); + delete View._viewsById[this._id]; + var project = this._project; + if (project._view === this) + project._view = null; + DomEvent.remove(this._element, this._viewEvents); + DomEvent.remove(window, this._windowEvents); + this._element = this._project = null; + this.off('frame'); + this._animate = false; + this._frameItems = {}; + return true; + }, + + _events: Base.each( + Item._itemHandlers.concat(['onResize', 'onKeyDown', 'onKeyUp']), + function(name) { + this[name] = {}; + }, { + onFrame: { + install: function() { + this.play(); + }, + + uninstall: function() { + this.pause(); + } + } + } + ), + + _animate: false, + _time: 0, + _count: 0, + + getAutoUpdate: function() { + return this._autoUpdate; + }, + + setAutoUpdate: function(autoUpdate) { + this._autoUpdate = autoUpdate; + if (autoUpdate) + this.requestUpdate(); + }, + + update: function() { + }, + + draw: function() { + this.update(); + }, + + requestUpdate: function() { + if (!this._requested) { + var that = this; + DomEvent.requestAnimationFrame(function() { + that._requested = false; + if (that._animate) { + that.requestUpdate(); + var element = that._element; + if ((!DomElement.getPrefixed(document, 'hidden') + || PaperScope.getAttribute(element, 'keepalive') + === 'true') && DomElement.isInView(element)) { + that._handleFrame(); + } + } + if (that._autoUpdate) + that.update(); + }); + this._requested = true; + } + }, + + play: function() { + this._animate = true; + this.requestUpdate(); + }, + + pause: function() { + this._animate = false; + }, + + _handleFrame: function() { + paper = this._scope; + var now = Date.now() / 1000, + delta = this._last ? now - this._last : 0; + this._last = now; + this.emit('frame', new Base({ + delta: delta, + time: this._time += delta, + count: this._count++ + })); + if (this._stats) + this._stats.update(); + }, + + _animateItem: function(item, animate) { + var items = this._frameItems; + if (animate) { + items[item._id] = { + item: item, + time: 0, + count: 0 + }; + if (++this._frameItemCount === 1) + this.on('frame', this._handleFrameItems); + } else { + delete items[item._id]; + if (--this._frameItemCount === 0) { + this.off('frame', this._handleFrameItems); + } + } + }, + + _handleFrameItems: function(event) { + for (var i in this._frameItems) { + var entry = this._frameItems[i]; + entry.item.emit('frame', new Base(event, { + time: entry.time += event.delta, + count: entry.count++ + })); + } + }, + + _changed: function() { + this._project._changed(4097); + this._bounds = this._decomposed = undefined; + }, + + getElement: function() { + return this._element; + }, + + getPixelRatio: function() { + return this._pixelRatio; + }, + + getResolution: function() { + return this._pixelRatio * 72; + }, + + getViewSize: function() { + var size = this._viewSize; + return new LinkedSize(size.width, size.height, this, 'setViewSize'); + }, + + setViewSize: function() { + var size = Size.read(arguments), + delta = size.subtract(this._viewSize); + if (delta.isZero()) + return; + this._setElementSize(size.width, size.height); + this._viewSize.set(size); + this._changed(); + this.emit('resize', { size: size, delta: delta }); + if (this._autoUpdate) { + this.update(); + } + }, + + _setElementSize: function(width, height) { + var element = this._element; + if (element) { + if (element.width !== width) + element.width = width; + if (element.height !== height) + element.height = height; + } + }, + + getBounds: function() { + if (!this._bounds) + this._bounds = this._matrix.inverted()._transformBounds( + new Rectangle(new Point(), this._viewSize)); + return this._bounds; + }, + + getSize: function() { + return this.getBounds().getSize(); + }, + + isVisible: function() { + return DomElement.isInView(this._element); + }, + + isInserted: function() { + return DomElement.isInserted(this._element); + }, + + getPixelSize: function(size) { + var element = this._element, + pixels; + if (element) { + var parent = element.parentNode, + temp = document.createElement('div'); + temp.style.fontSize = size; + parent.appendChild(temp); + pixels = parseFloat(DomElement.getStyles(temp).fontSize); + parent.removeChild(temp); + } else { + pixels = parseFloat(pixels); + } + return pixels; + }, + + getTextWidth: function(font, lines) { + return 0; + } +}, Base.each(['rotate', 'scale', 'shear', 'skew'], function(key) { + var rotate = key === 'rotate'; + this[key] = function() { + var value = (rotate ? Base : Point).read(arguments), + center = Point.read(arguments, 0, { readNull: true }); + return this.transform(new Matrix()[key](value, + center || this.getCenter(true))); + }; +}, { + _decompose: function() { + return this._decomposed || (this._decomposed = this._matrix.decompose()); + }, + + translate: function() { + var mx = new Matrix(); + return this.transform(mx.translate.apply(mx, arguments)); + }, + + getCenter: function() { + return this.getBounds().getCenter(); + }, + + setCenter: function() { + var center = Point.read(arguments); + this.translate(this.getCenter().subtract(center)); + }, + + getZoom: function() { + var decomposed = this._decompose(), + scaling = decomposed && decomposed.scaling; + return scaling ? (scaling.x + scaling.y) / 2 : 0; + }, + + setZoom: function(zoom) { + this.transform(new Matrix().scale(zoom / this.getZoom(), + this.getCenter())); + }, + + getRotation: function() { + var decomposed = this._decompose(); + return decomposed && decomposed.rotation; + }, + + setRotation: function(rotation) { + var current = this.getRotation(); + if (current != null && rotation != null) { + this.rotate(rotation - current); + } + }, + + getScaling: function() { + var decomposed = this._decompose(), + scaling = decomposed && decomposed.scaling; + return scaling + ? new LinkedPoint(scaling.x, scaling.y, this, 'setScaling') + : undefined; + }, + + setScaling: function() { + var current = this.getScaling(), + scaling = Point.read(arguments, 0, { clone: true, readNull: true }); + if (current && scaling) { + this.scale(scaling.x / current.x, scaling.y / current.y); + } + }, + + getMatrix: function() { + return this._matrix; + }, + + setMatrix: function() { + var matrix = this._matrix; + matrix.initialize.apply(matrix, arguments); + }, + + transform: function(matrix) { + this._matrix.append(matrix); + }, + + scrollBy: function() { + this.translate(Point.read(arguments).negate()); + } +}), { + + projectToView: function() { + return this._matrix._transformPoint(Point.read(arguments)); + }, + + viewToProject: function() { + return this._matrix._inverseTransform(Point.read(arguments)); + }, + + getEventPoint: function(event) { + return this.viewToProject(DomEvent.getOffset(event, this._element)); + }, + +}, { + statics: { + _views: [], + _viewsById: {}, + _id: 0, + + create: function(project, element) { + if (document && typeof element === 'string') + element = document.getElementById(element); + var ctor = window ? CanvasView : View; + return new ctor(project, element); + } + } +}, +new function() { + if (!window) + return; + var prevFocus, + tempFocus, + dragging = false, + mouseDown = false; + + function getView(event) { + var target = DomEvent.getTarget(event); + return target.getAttribute && View._viewsById[ + target.getAttribute('id')]; + } + + function updateFocus() { + var view = View._focused; + if (!view || !view.isVisible()) { + for (var i = 0, l = View._views.length; i < l; i++) { + if ((view = View._views[i]).isVisible()) { + View._focused = tempFocus = view; + break; + } + } + } + } + + function handleMouseMove(view, event, point) { + view._handleMouseEvent('mousemove', event, point); + } + + var navigator = window.navigator, + mousedown, mousemove, mouseup; + if (navigator.pointerEnabled || navigator.msPointerEnabled) { + mousedown = 'pointerdown MSPointerDown'; + mousemove = 'pointermove MSPointerMove'; + mouseup = 'pointerup pointercancel MSPointerUp MSPointerCancel'; + } else { + mousedown = 'touchstart'; + mousemove = 'touchmove'; + mouseup = 'touchend touchcancel'; + if (!('ontouchstart' in window && navigator.userAgent.match( + /mobile|tablet|ip(ad|hone|od)|android|silk/i))) { + mousedown += ' mousedown'; + mousemove += ' mousemove'; + mouseup += ' mouseup'; + } + } + + var viewEvents = {}, + docEvents = { + mouseout: function(event) { + var view = View._focused, + target = DomEvent.getRelatedTarget(event); + if (view && (!target || target.nodeName === 'HTML')) { + var offset = DomEvent.getOffset(event, view._element), + x = offset.x, + abs = Math.abs, + ax = abs(x), + max = 1 << 25, + diff = ax - max; + offset.x = abs(diff) < ax ? diff * (x < 0 ? -1 : 1) : x; + handleMouseMove(view, event, view.viewToProject(offset)); + } + }, + + scroll: updateFocus + }; + + viewEvents[mousedown] = function(event) { + var view = View._focused = getView(event); + if (!dragging) { + dragging = true; + view._handleMouseEvent('mousedown', event); + } + }; + + docEvents[mousemove] = function(event) { + var view = View._focused; + if (!mouseDown) { + var target = getView(event); + if (target) { + if (view !== target) { + if (view) + handleMouseMove(view, event); + if (!prevFocus) + prevFocus = view; + view = View._focused = tempFocus = target; + } + } else if (tempFocus && tempFocus === view) { + if (prevFocus && !prevFocus.isInserted()) + prevFocus = null; + view = View._focused = prevFocus; + prevFocus = null; + updateFocus(); + } + } + if (view) + handleMouseMove(view, event); + }; + + docEvents[mousedown] = function() { + mouseDown = true; + }; + + docEvents[mouseup] = function(event) { + var view = View._focused; + if (view && dragging) + view._handleMouseEvent('mouseup', event); + mouseDown = dragging = false; + }; + + DomEvent.add(document, docEvents); + + DomEvent.add(window, { + load: updateFocus + }); + + var called = false, + prevented = false, + fallbacks = { + doubleclick: 'click', + mousedrag: 'mousemove' + }, + wasInView = false, + overView, + downPoint, + lastPoint, + downItem, + overItem, + dragItem, + clickItem, + clickTime, + dblClick; + + function emitMouseEvent(obj, target, type, event, point, prevPoint, + stopItem) { + var stopped = false, + mouseEvent; + + function emit(obj, type) { + if (obj.responds(type)) { + if (!mouseEvent) { + mouseEvent = new MouseEvent(type, event, point, + target || obj, + prevPoint ? point.subtract(prevPoint) : null); + } + if (obj.emit(type, mouseEvent)) { + called = true; + if (mouseEvent.prevented) + prevented = true; + if (mouseEvent.stopped) + return stopped = true; + } + } else { + var fallback = fallbacks[type]; + if (fallback) + return emit(obj, fallback); + } + } + + while (obj && obj !== stopItem) { + if (emit(obj, type)) + break; + obj = obj._parent; + } + return stopped; + } + + function emitMouseEvents(view, hitItem, type, event, point, prevPoint) { + view._project.removeOn(type); + prevented = called = false; + return (dragItem && emitMouseEvent(dragItem, null, type, event, + point, prevPoint) + || hitItem && hitItem !== dragItem + && !hitItem.isDescendant(dragItem) + && emitMouseEvent(hitItem, null, type, event, point, prevPoint, + dragItem) + || emitMouseEvent(view, dragItem || hitItem || view, type, event, + point, prevPoint)); + } + + var itemEventsMap = { + mousedown: { + mousedown: 1, + mousedrag: 1, + click: 1, + doubleclick: 1 + }, + mouseup: { + mouseup: 1, + mousedrag: 1, + click: 1, + doubleclick: 1 + }, + mousemove: { + mousedrag: 1, + mousemove: 1, + mouseenter: 1, + mouseleave: 1 + } + }; + + return { + _viewEvents: viewEvents, + + _handleMouseEvent: function(type, event, point) { + var itemEvents = this._itemEvents, + hitItems = itemEvents.native[type], + nativeMove = type === 'mousemove', + tool = this._scope.tool, + view = this; + + function responds(type) { + return itemEvents.virtual[type] || view.responds(type) + || tool && tool.responds(type); + } + + if (nativeMove && dragging && responds('mousedrag')) + type = 'mousedrag'; + if (!point) + point = this.getEventPoint(event); + + var inView = this.getBounds().contains(point), + hit = hitItems && inView && view._project.hitTest(point, { + tolerance: 0, + fill: true, + stroke: true + }), + hitItem = hit && hit.item || null, + handle = false, + mouse = {}; + mouse[type.substr(5)] = true; + + if (hitItems && hitItem !== overItem) { + if (overItem) { + emitMouseEvent(overItem, null, 'mouseleave', event, point); + } + if (hitItem) { + emitMouseEvent(hitItem, null, 'mouseenter', event, point); + } + overItem = hitItem; + } + if (wasInView ^ inView) { + emitMouseEvent(this, null, inView ? 'mouseenter' : 'mouseleave', + event, point); + overView = inView ? this : null; + handle = true; + } + if ((inView || mouse.drag) && !point.equals(lastPoint)) { + emitMouseEvents(this, hitItem, nativeMove ? type : 'mousemove', + event, point, lastPoint); + handle = true; + } + wasInView = inView; + if (mouse.down && inView || mouse.up && downPoint) { + emitMouseEvents(this, hitItem, type, event, point, downPoint); + if (mouse.down) { + dblClick = hitItem === clickItem + && (Date.now() - clickTime < 300); + downItem = clickItem = hitItem; + if (!prevented && hitItem) { + var item = hitItem; + while (item && !item.responds('mousedrag')) + item = item._parent; + if (item) + dragItem = hitItem; + } + downPoint = point; + } else if (mouse.up) { + if (!prevented && hitItem === downItem) { + clickTime = Date.now(); + emitMouseEvents(this, hitItem, dblClick ? 'doubleclick' + : 'click', event, point, downPoint); + dblClick = false; + } + downItem = dragItem = null; + } + wasInView = false; + handle = true; + } + lastPoint = point; + if (handle && tool) { + called = tool._handleMouseEvent(type, event, point, mouse) + || called; + } + + if ( + event.cancelable !== false + && (called && !mouse.move || mouse.down && responds('mouseup')) + ) { + event.preventDefault(); + } + }, + + _handleKeyEvent: function(type, event, key, character) { + var scope = this._scope, + tool = scope.tool, + keyEvent; + + function emit(obj) { + if (obj.responds(type)) { + paper = scope; + obj.emit(type, keyEvent = keyEvent + || new KeyEvent(type, event, key, character)); + } + } + + if (this.isVisible()) { + emit(this); + if (tool && tool.responds(type)) + emit(tool); + } + }, + + _countItemEvent: function(type, sign) { + var itemEvents = this._itemEvents, + native = itemEvents.native, + virtual = itemEvents.virtual; + for (var key in itemEventsMap) { + native[key] = (native[key] || 0) + + (itemEventsMap[key][type] || 0) * sign; + } + virtual[type] = (virtual[type] || 0) + sign; + }, + + statics: { + updateFocus: updateFocus, + + _resetState: function() { + dragging = mouseDown = called = wasInView = false; + prevFocus = tempFocus = overView = downPoint = lastPoint = + downItem = overItem = dragItem = clickItem = clickTime = + dblClick = null; + } + } + }; +}); + +var CanvasView = View.extend({ + _class: 'CanvasView', + + initialize: function CanvasView(project, canvas) { + if (!(canvas instanceof window.HTMLCanvasElement)) { + var size = Size.read(arguments, 1); + if (size.isZero()) + throw new Error( + 'Cannot create CanvasView with the provided argument: ' + + Base.slice(arguments, 1)); + canvas = CanvasProvider.getCanvas(size); + } + var ctx = this._context = canvas.getContext('2d'); + ctx.save(); + this._pixelRatio = 1; + if (!/^off|false$/.test(PaperScope.getAttribute(canvas, 'hidpi'))) { + var deviceRatio = window.devicePixelRatio || 1, + backingStoreRatio = DomElement.getPrefixed(ctx, + 'backingStorePixelRatio') || 1; + this._pixelRatio = deviceRatio / backingStoreRatio; + } + View.call(this, project, canvas); + this._needsUpdate = true; + }, + + remove: function remove() { + this._context.restore(); + return remove.base.call(this); + }, + + _setElementSize: function _setElementSize(width, height) { + var pixelRatio = this._pixelRatio; + _setElementSize.base.call(this, width * pixelRatio, height * pixelRatio); + if (pixelRatio !== 1) { + var element = this._element, + ctx = this._context; + if (!PaperScope.hasAttribute(element, 'resize')) { + var style = element.style; + style.width = width + 'px'; + style.height = height + 'px'; + } + ctx.restore(); + ctx.save(); + ctx.scale(pixelRatio, pixelRatio); + } + }, + + getPixelSize: function getPixelSize(size) { + var agent = paper.agent, + pixels; + if (agent && agent.firefox) { + pixels = getPixelSize.base.call(this, size); + } else { + var ctx = this._context, + prevFont = ctx.font; + ctx.font = size + ' serif'; + pixels = parseFloat(ctx.font); + ctx.font = prevFont; + } + return pixels; + }, + + getTextWidth: function(font, lines) { + var ctx = this._context, + prevFont = ctx.font, + width = 0; + ctx.font = font; + for (var i = 0, l = lines.length; i < l; i++) + width = Math.max(width, ctx.measureText(lines[i]).width); + ctx.font = prevFont; + return width; + }, + + update: function() { + if (!this._needsUpdate) + return false; + var project = this._project, + ctx = this._context, + size = this._viewSize; + ctx.clearRect(0, 0, size.width + 1, size.height + 1); + if (project) + project.draw(ctx, this._matrix, this._pixelRatio); + this._needsUpdate = false; + return true; + } +}); + +var Event = Base.extend({ + _class: 'Event', + + initialize: function Event(event) { + this.event = event; + this.type = event && event.type; + }, + + prevented: false, + stopped: false, + + preventDefault: function() { + this.prevented = true; + this.event.preventDefault(); + }, + + stopPropagation: function() { + this.stopped = true; + this.event.stopPropagation(); + }, + + stop: function() { + this.stopPropagation(); + this.preventDefault(); + }, + + getTimeStamp: function() { + return this.event.timeStamp; + }, + + getModifiers: function() { + return Key.modifiers; + } +}); + +var KeyEvent = Event.extend({ + _class: 'KeyEvent', + + initialize: function KeyEvent(type, event, key, character) { + this.type = type; + this.event = event; + this.key = key; + this.character = character; + }, + + toString: function() { + return "{ type: '" + this.type + + "', key: '" + this.key + + "', character: '" + this.character + + "', modifiers: " + this.getModifiers() + + " }"; + } +}); + +var Key = new function() { + var keyLookup = { + '\t': 'tab', + ' ': 'space', + '\b': 'backspace', + '\x7f': 'delete', + 'Spacebar': 'space', + 'Del': 'delete', + 'Win': 'meta', + 'Esc': 'escape' + }, + + charLookup = { + 'tab': '\t', + 'space': ' ', + 'enter': '\r' + }, + + keyMap = {}, + charMap = {}, + metaFixMap, + downKey, + + modifiers = new Base({ + shift: false, + control: false, + alt: false, + meta: false, + capsLock: false, + space: false + }).inject({ + option: { + get: function() { + return this.alt; + } + }, + + command: { + get: function() { + var agent = paper && paper.agent; + return agent && agent.mac ? this.meta : this.control; + } + } + }); + + function getKey(event) { + var key = event.key || event.keyIdentifier; + key = /^U\+/.test(key) + ? String.fromCharCode(parseInt(key.substr(2), 16)) + : /^Arrow[A-Z]/.test(key) ? key.substr(5) + : key === 'Unidentified' || key === undefined + ? String.fromCharCode(event.keyCode) + : key; + return keyLookup[key] || + (key.length > 1 ? Base.hyphenate(key) : key.toLowerCase()); + } + + function handleKey(down, key, character, event) { + var type = down ? 'keydown' : 'keyup', + view = View._focused, + name; + keyMap[key] = down; + if (down) { + charMap[key] = character; + } else { + delete charMap[key]; + } + if (key.length > 1 && (name = Base.camelize(key)) in modifiers) { + modifiers[name] = down; + var agent = paper && paper.agent; + if (name === 'meta' && agent && agent.mac) { + if (down) { + metaFixMap = {}; + } else { + for (var k in metaFixMap) { + if (k in charMap) + handleKey(false, k, metaFixMap[k], event); + } + metaFixMap = null; + } + } + } else if (down && metaFixMap) { + metaFixMap[key] = character; + } + if (view) { + view._handleKeyEvent(down ? 'keydown' : 'keyup', event, key, + character); + } + } + + DomEvent.add(document, { + keydown: function(event) { + var key = getKey(event), + agent = paper && paper.agent; + if (key.length > 1 || agent && (agent.chrome && (event.altKey + || agent.mac && event.metaKey + || !agent.mac && event.ctrlKey))) { + handleKey(true, key, + charLookup[key] || (key.length > 1 ? '' : key), event); + } else { + downKey = key; + } + }, + + keypress: function(event) { + if (downKey) { + var key = getKey(event), + code = event.charCode, + character = code >= 32 ? String.fromCharCode(code) + : key.length > 1 ? '' : key; + if (key !== downKey) { + key = character.toLowerCase(); + } + handleKey(true, key, character, event); + downKey = null; + } + }, + + keyup: function(event) { + var key = getKey(event); + if (key in charMap) + handleKey(false, key, charMap[key], event); + } + }); + + DomEvent.add(window, { + blur: function(event) { + for (var key in charMap) + handleKey(false, key, charMap[key], event); + } + }); + + return { + modifiers: modifiers, + + isDown: function(key) { + return !!keyMap[key]; + } + }; +}; + +var MouseEvent = Event.extend({ + _class: 'MouseEvent', + + initialize: function MouseEvent(type, event, point, target, delta) { + this.type = type; + this.event = event; + this.point = point; + this.target = target; + this.delta = delta; + }, + + toString: function() { + return "{ type: '" + this.type + + "', point: " + this.point + + ', target: ' + this.target + + (this.delta ? ', delta: ' + this.delta : '') + + ', modifiers: ' + this.getModifiers() + + ' }'; + } +}); + +var ToolEvent = Event.extend({ + _class: 'ToolEvent', + _item: null, + + initialize: function ToolEvent(tool, type, event) { + this.tool = tool; + this.type = type; + this.event = event; + }, + + _choosePoint: function(point, toolPoint) { + return point ? point : toolPoint ? toolPoint.clone() : null; + }, + + getPoint: function() { + return this._choosePoint(this._point, this.tool._point); + }, + + setPoint: function(point) { + this._point = point; + }, + + getLastPoint: function() { + return this._choosePoint(this._lastPoint, this.tool._lastPoint); + }, + + setLastPoint: function(lastPoint) { + this._lastPoint = lastPoint; + }, + + getDownPoint: function() { + return this._choosePoint(this._downPoint, this.tool._downPoint); + }, + + setDownPoint: function(downPoint) { + this._downPoint = downPoint; + }, + + getMiddlePoint: function() { + if (!this._middlePoint && this.tool._lastPoint) { + return this.tool._point.add(this.tool._lastPoint).divide(2); + } + return this._middlePoint; + }, + + setMiddlePoint: function(middlePoint) { + this._middlePoint = middlePoint; + }, + + getDelta: function() { + return !this._delta && this.tool._lastPoint + ? this.tool._point.subtract(this.tool._lastPoint) + : this._delta; + }, + + setDelta: function(delta) { + this._delta = delta; + }, + + getCount: function() { + return this.tool[/^mouse(down|up)$/.test(this.type) + ? '_downCount' : '_moveCount']; + }, + + setCount: function(count) { + this.tool[/^mouse(down|up)$/.test(this.type) ? 'downCount' : 'count'] + = count; + }, + + getItem: function() { + if (!this._item) { + var result = this.tool._scope.project.hitTest(this.getPoint()); + if (result) { + var item = result.item, + parent = item._parent; + while (/^(Group|CompoundPath)$/.test(parent._class)) { + item = parent; + parent = parent._parent; + } + this._item = item; + } + } + return this._item; + }, + + setItem: function(item) { + this._item = item; + }, + + toString: function() { + return '{ type: ' + this.type + + ', point: ' + this.getPoint() + + ', count: ' + this.getCount() + + ', modifiers: ' + this.getModifiers() + + ' }'; + } +}); + +var Tool = PaperScopeItem.extend({ + _class: 'Tool', + _list: 'tools', + _reference: 'tool', + _events: ['onMouseDown', 'onMouseUp', 'onMouseDrag', 'onMouseMove', + 'onActivate', 'onDeactivate', 'onEditOptions', 'onKeyDown', + 'onKeyUp'], + + initialize: function Tool(props) { + PaperScopeItem.call(this); + this._moveCount = -1; + this._downCount = -1; + this.set(props); + }, + + getMinDistance: function() { + return this._minDistance; + }, + + setMinDistance: function(minDistance) { + this._minDistance = minDistance; + if (minDistance != null && this._maxDistance != null + && minDistance > this._maxDistance) { + this._maxDistance = minDistance; + } + }, + + getMaxDistance: function() { + return this._maxDistance; + }, + + setMaxDistance: function(maxDistance) { + this._maxDistance = maxDistance; + if (this._minDistance != null && maxDistance != null + && maxDistance < this._minDistance) { + this._minDistance = maxDistance; + } + }, + + getFixedDistance: function() { + return this._minDistance == this._maxDistance + ? this._minDistance : null; + }, + + setFixedDistance: function(distance) { + this._minDistance = this._maxDistance = distance; + }, + + _handleMouseEvent: function(type, event, point, mouse) { + paper = this._scope; + if (mouse.drag && !this.responds(type)) + type = 'mousemove'; + var move = mouse.move || mouse.drag, + responds = this.responds(type), + minDistance = this.minDistance, + maxDistance = this.maxDistance, + called = false, + tool = this; + function update(minDistance, maxDistance) { + var pt = point, + toolPoint = move ? tool._point : (tool._downPoint || pt); + if (move) { + if (tool._moveCount >= 0 && pt.equals(toolPoint)) { + return false; + } + if (toolPoint && (minDistance != null || maxDistance != null)) { + var vector = pt.subtract(toolPoint), + distance = vector.getLength(); + if (distance < (minDistance || 0)) + return false; + if (maxDistance) { + pt = toolPoint.add(vector.normalize( + Math.min(distance, maxDistance))); + } + } + tool._moveCount++; + } + tool._point = pt; + tool._lastPoint = toolPoint || pt; + if (mouse.down) { + tool._moveCount = -1; + tool._downPoint = pt; + tool._downCount++; + } + return true; + } + + function emit() { + if (responds) { + called = tool.emit(type, new ToolEvent(tool, type, event)) + || called; + } + } + + if (mouse.down) { + update(); + emit(); + } else if (mouse.up) { + update(null, maxDistance); + emit(); + } else if (responds) { + while (update(minDistance, maxDistance)) + emit(); + } + return called; + } + +}); + +var Http = { + request: function(options) { + var xhr = new self.XMLHttpRequest(); + xhr.open((options.method || 'get').toUpperCase(), options.url, + Base.pick(options.async, true)); + if (options.mimeType) + xhr.overrideMimeType(options.mimeType); + xhr.onload = function() { + var status = xhr.status; + if (status === 0 || status === 200) { + if (options.onLoad) { + options.onLoad.call(xhr, xhr.responseText); + } + } else { + xhr.onerror(); + } + }; + xhr.onerror = function() { + var status = xhr.status, + message = 'Could not load "' + options.url + '" (Status: ' + + status + ')'; + if (options.onError) { + options.onError(message, status); + } else { + throw new Error(message); + } + }; + return xhr.send(null); + } +}; + +var CanvasProvider = { + canvases: [], + + getCanvas: function(width, height) { + if (!window) + return null; + var canvas, + clear = true; + if (typeof width === 'object') { + height = width.height; + width = width.width; + } + if (this.canvases.length) { + canvas = this.canvases.pop(); + } else { + canvas = document.createElement('canvas'); + clear = false; + } + var ctx = canvas.getContext('2d'); + if (!ctx) { + throw new Error('Canvas ' + canvas + + ' is unable to provide a 2D context.'); + } + if (canvas.width === width && canvas.height === height) { + if (clear) + ctx.clearRect(0, 0, width + 1, height + 1); + } else { + canvas.width = width; + canvas.height = height; + } + ctx.save(); + return canvas; + }, + + getContext: function(width, height) { + var canvas = this.getCanvas(width, height); + return canvas ? canvas.getContext('2d') : null; + }, + + release: function(obj) { + var canvas = obj && obj.canvas ? obj.canvas : obj; + if (canvas && canvas.getContext) { + canvas.getContext('2d').restore(); + this.canvases.push(canvas); + } + } +}; + +var BlendMode = new function() { + var min = Math.min, + max = Math.max, + abs = Math.abs, + sr, sg, sb, sa, + br, bg, bb, ba, + dr, dg, db; + + function getLum(r, g, b) { + return 0.2989 * r + 0.587 * g + 0.114 * b; + } + + function setLum(r, g, b, l) { + var d = l - getLum(r, g, b); + dr = r + d; + dg = g + d; + db = b + d; + var l = getLum(dr, dg, db), + mn = min(dr, dg, db), + mx = max(dr, dg, db); + if (mn < 0) { + var lmn = l - mn; + dr = l + (dr - l) * l / lmn; + dg = l + (dg - l) * l / lmn; + db = l + (db - l) * l / lmn; + } + if (mx > 255) { + var ln = 255 - l, + mxl = mx - l; + dr = l + (dr - l) * ln / mxl; + dg = l + (dg - l) * ln / mxl; + db = l + (db - l) * ln / mxl; + } + } + + function getSat(r, g, b) { + return max(r, g, b) - min(r, g, b); + } + + function setSat(r, g, b, s) { + var col = [r, g, b], + mx = max(r, g, b), + mn = min(r, g, b), + md; + mn = mn === r ? 0 : mn === g ? 1 : 2; + mx = mx === r ? 0 : mx === g ? 1 : 2; + md = min(mn, mx) === 0 ? max(mn, mx) === 1 ? 2 : 1 : 0; + if (col[mx] > col[mn]) { + col[md] = (col[md] - col[mn]) * s / (col[mx] - col[mn]); + col[mx] = s; + } else { + col[md] = col[mx] = 0; + } + col[mn] = 0; + dr = col[0]; + dg = col[1]; + db = col[2]; + } + + var modes = { + multiply: function() { + dr = br * sr / 255; + dg = bg * sg / 255; + db = bb * sb / 255; + }, + + screen: function() { + dr = br + sr - (br * sr / 255); + dg = bg + sg - (bg * sg / 255); + db = bb + sb - (bb * sb / 255); + }, + + overlay: function() { + dr = br < 128 ? 2 * br * sr / 255 : 255 - 2 * (255 - br) * (255 - sr) / 255; + dg = bg < 128 ? 2 * bg * sg / 255 : 255 - 2 * (255 - bg) * (255 - sg) / 255; + db = bb < 128 ? 2 * bb * sb / 255 : 255 - 2 * (255 - bb) * (255 - sb) / 255; + }, + + 'soft-light': function() { + var t = sr * br / 255; + dr = t + br * (255 - (255 - br) * (255 - sr) / 255 - t) / 255; + t = sg * bg / 255; + dg = t + bg * (255 - (255 - bg) * (255 - sg) / 255 - t) / 255; + t = sb * bb / 255; + db = t + bb * (255 - (255 - bb) * (255 - sb) / 255 - t) / 255; + }, + + 'hard-light': function() { + dr = sr < 128 ? 2 * sr * br / 255 : 255 - 2 * (255 - sr) * (255 - br) / 255; + dg = sg < 128 ? 2 * sg * bg / 255 : 255 - 2 * (255 - sg) * (255 - bg) / 255; + db = sb < 128 ? 2 * sb * bb / 255 : 255 - 2 * (255 - sb) * (255 - bb) / 255; + }, + + 'color-dodge': function() { + dr = br === 0 ? 0 : sr === 255 ? 255 : min(255, 255 * br / (255 - sr)); + dg = bg === 0 ? 0 : sg === 255 ? 255 : min(255, 255 * bg / (255 - sg)); + db = bb === 0 ? 0 : sb === 255 ? 255 : min(255, 255 * bb / (255 - sb)); + }, + + 'color-burn': function() { + dr = br === 255 ? 255 : sr === 0 ? 0 : max(0, 255 - (255 - br) * 255 / sr); + dg = bg === 255 ? 255 : sg === 0 ? 0 : max(0, 255 - (255 - bg) * 255 / sg); + db = bb === 255 ? 255 : sb === 0 ? 0 : max(0, 255 - (255 - bb) * 255 / sb); + }, + + darken: function() { + dr = br < sr ? br : sr; + dg = bg < sg ? bg : sg; + db = bb < sb ? bb : sb; + }, + + lighten: function() { + dr = br > sr ? br : sr; + dg = bg > sg ? bg : sg; + db = bb > sb ? bb : sb; + }, + + difference: function() { + dr = br - sr; + if (dr < 0) + dr = -dr; + dg = bg - sg; + if (dg < 0) + dg = -dg; + db = bb - sb; + if (db < 0) + db = -db; + }, + + exclusion: function() { + dr = br + sr * (255 - br - br) / 255; + dg = bg + sg * (255 - bg - bg) / 255; + db = bb + sb * (255 - bb - bb) / 255; + }, + + hue: function() { + setSat(sr, sg, sb, getSat(br, bg, bb)); + setLum(dr, dg, db, getLum(br, bg, bb)); + }, + + saturation: function() { + setSat(br, bg, bb, getSat(sr, sg, sb)); + setLum(dr, dg, db, getLum(br, bg, bb)); + }, + + luminosity: function() { + setLum(br, bg, bb, getLum(sr, sg, sb)); + }, + + color: function() { + setLum(sr, sg, sb, getLum(br, bg, bb)); + }, + + add: function() { + dr = min(br + sr, 255); + dg = min(bg + sg, 255); + db = min(bb + sb, 255); + }, + + subtract: function() { + dr = max(br - sr, 0); + dg = max(bg - sg, 0); + db = max(bb - sb, 0); + }, + + average: function() { + dr = (br + sr) / 2; + dg = (bg + sg) / 2; + db = (bb + sb) / 2; + }, + + negation: function() { + dr = 255 - abs(255 - sr - br); + dg = 255 - abs(255 - sg - bg); + db = 255 - abs(255 - sb - bb); + } + }; + + var nativeModes = this.nativeModes = Base.each([ + 'source-over', 'source-in', 'source-out', 'source-atop', + 'destination-over', 'destination-in', 'destination-out', + 'destination-atop', 'lighter', 'darker', 'copy', 'xor' + ], function(mode) { + this[mode] = true; + }, {}); + + var ctx = CanvasProvider.getContext(1, 1); + if (ctx) { + Base.each(modes, function(func, mode) { + var darken = mode === 'darken', + ok = false; + ctx.save(); + try { + ctx.fillStyle = darken ? '#300' : '#a00'; + ctx.fillRect(0, 0, 1, 1); + ctx.globalCompositeOperation = mode; + if (ctx.globalCompositeOperation === mode) { + ctx.fillStyle = darken ? '#a00' : '#300'; + ctx.fillRect(0, 0, 1, 1); + ok = ctx.getImageData(0, 0, 1, 1).data[0] !== darken + ? 170 : 51; + } + } catch (e) {} + ctx.restore(); + nativeModes[mode] = ok; + }); + CanvasProvider.release(ctx); + } + + this.process = function(mode, srcContext, dstContext, alpha, offset) { + var srcCanvas = srcContext.canvas, + normal = mode === 'normal'; + if (normal || nativeModes[mode]) { + dstContext.save(); + dstContext.setTransform(1, 0, 0, 1, 0, 0); + dstContext.globalAlpha = alpha; + if (!normal) + dstContext.globalCompositeOperation = mode; + dstContext.drawImage(srcCanvas, offset.x, offset.y); + dstContext.restore(); + } else { + var process = modes[mode]; + if (!process) + return; + var dstData = dstContext.getImageData(offset.x, offset.y, + srcCanvas.width, srcCanvas.height), + dst = dstData.data, + src = srcContext.getImageData(0, 0, + srcCanvas.width, srcCanvas.height).data; + for (var i = 0, l = dst.length; i < l; i += 4) { + sr = src[i]; + br = dst[i]; + sg = src[i + 1]; + bg = dst[i + 1]; + sb = src[i + 2]; + bb = dst[i + 2]; + sa = src[i + 3]; + ba = dst[i + 3]; + process(); + var a1 = sa * alpha / 255, + a2 = 1 - a1; + dst[i] = a1 * dr + a2 * br; + dst[i + 1] = a1 * dg + a2 * bg; + dst[i + 2] = a1 * db + a2 * bb; + dst[i + 3] = sa * alpha + a2 * ba; + } + dstContext.putImageData(dstData, offset.x, offset.y); + } + }; +}; + +var SvgElement = new function() { + var svg = 'http://www.w3.org/2000/svg', + xmlns = 'http://www.w3.org/2000/xmlns', + xlink = 'http://www.w3.org/1999/xlink', + attributeNamespace = { + href: xlink, + xlink: xmlns, + xmlns: xmlns + '/', + 'xmlns:xlink': xmlns + '/' + }; + + function create(tag, attributes, formatter) { + return set(document.createElementNS(svg, tag), attributes, formatter); + } + + function get(node, name) { + var namespace = attributeNamespace[name], + value = namespace + ? node.getAttributeNS(namespace, name) + : node.getAttribute(name); + return value === 'null' ? null : value; + } + + function set(node, attributes, formatter) { + for (var name in attributes) { + var value = attributes[name], + namespace = attributeNamespace[name]; + if (typeof value === 'number' && formatter) + value = formatter.number(value); + if (namespace) { + node.setAttributeNS(namespace, name, value); + } else { + node.setAttribute(name, value); + } + } + return node; + } + + return { + svg: svg, + xmlns: xmlns, + xlink: xlink, + + create: create, + get: get, + set: set + }; +}; + +var SvgStyles = Base.each({ + fillColor: ['fill', 'color'], + fillRule: ['fill-rule', 'string'], + strokeColor: ['stroke', 'color'], + strokeWidth: ['stroke-width', 'number'], + strokeCap: ['stroke-linecap', 'string'], + strokeJoin: ['stroke-linejoin', 'string'], + strokeScaling: ['vector-effect', 'lookup', { + true: 'none', + false: 'non-scaling-stroke' + }, function(item, value) { + return !value + && (item instanceof PathItem + || item instanceof Shape + || item instanceof TextItem); + }], + miterLimit: ['stroke-miterlimit', 'number'], + dashArray: ['stroke-dasharray', 'array'], + dashOffset: ['stroke-dashoffset', 'number'], + fontFamily: ['font-family', 'string'], + fontWeight: ['font-weight', 'string'], + fontSize: ['font-size', 'number'], + justification: ['text-anchor', 'lookup', { + left: 'start', + center: 'middle', + right: 'end' + }], + opacity: ['opacity', 'number'], + blendMode: ['mix-blend-mode', 'style'] +}, function(entry, key) { + var part = Base.capitalize(key), + lookup = entry[2]; + this[key] = { + type: entry[1], + property: key, + attribute: entry[0], + toSVG: lookup, + fromSVG: lookup && Base.each(lookup, function(value, name) { + this[value] = name; + }, {}), + exportFilter: entry[3], + get: 'get' + part, + set: 'set' + part + }; +}, {}); + +new function() { + var formatter; + + function getTransform(matrix, coordinates, center) { + var attrs = new Base(), + trans = matrix.getTranslation(); + if (coordinates) { + matrix = matrix._shiftless(); + var point = matrix._inverseTransform(trans); + attrs[center ? 'cx' : 'x'] = point.x; + attrs[center ? 'cy' : 'y'] = point.y; + trans = null; + } + if (!matrix.isIdentity()) { + var decomposed = matrix.decompose(); + if (decomposed) { + var parts = [], + angle = decomposed.rotation, + scale = decomposed.scaling, + skew = decomposed.skewing; + if (trans && !trans.isZero()) + parts.push('translate(' + formatter.point(trans) + ')'); + if (angle) + parts.push('rotate(' + formatter.number(angle) + ')'); + if (!Numerical.isZero(scale.x - 1) + || !Numerical.isZero(scale.y - 1)) + parts.push('scale(' + formatter.point(scale) +')'); + if (skew.x) + parts.push('skewX(' + formatter.number(skew.x) + ')'); + if (skew.y) + parts.push('skewY(' + formatter.number(skew.y) + ')'); + attrs.transform = parts.join(' '); + } else { + attrs.transform = 'matrix(' + matrix.getValues().join(',') + ')'; + } + } + return attrs; + } + + function exportGroup(item, options) { + var attrs = getTransform(item._matrix), + children = item._children; + var node = SvgElement.create('g', attrs, formatter); + for (var i = 0, l = children.length; i < l; i++) { + var child = children[i]; + var childNode = exportSVG(child, options); + if (childNode) { + if (child.isClipMask()) { + var clip = SvgElement.create('clipPath'); + clip.appendChild(childNode); + setDefinition(child, clip, 'clip'); + SvgElement.set(node, { + 'clip-path': 'url(#' + clip.id + ')' + }); + } else { + node.appendChild(childNode); + } + } + } + return node; + } + + function exportRaster(item, options) { + var attrs = getTransform(item._matrix, true), + size = item.getSize(), + image = item.getImage(); + attrs.x -= size.width / 2; + attrs.y -= size.height / 2; + attrs.width = size.width; + attrs.height = size.height; + attrs.href = options.embedImages == false && image && image.src + || item.toDataURL(); + return SvgElement.create('image', attrs, formatter); + } + + function exportPath(item, options) { + var matchShapes = options.matchShapes; + if (matchShapes) { + var shape = item.toShape(false); + if (shape) + return exportShape(shape, options); + } + var segments = item._segments, + length = segments.length, + type, + attrs = getTransform(item._matrix); + if (matchShapes && length >= 2 && !item.hasHandles()) { + if (length > 2) { + type = item._closed ? 'polygon' : 'polyline'; + var parts = []; + for (var i = 0; i < length; i++) { + parts.push(formatter.point(segments[i]._point)); + } + attrs.points = parts.join(' '); + } else { + type = 'line'; + var start = segments[0]._point, + end = segments[1]._point; + attrs.set({ + x1: start.x, + y1: start.y, + x2: end.x, + y2: end.y + }); + } + } else { + type = 'path'; + attrs.d = item.getPathData(null, options.precision); + } + return SvgElement.create(type, attrs, formatter); + } + + function exportShape(item) { + var type = item._type, + radius = item._radius, + attrs = getTransform(item._matrix, true, type !== 'rectangle'); + if (type === 'rectangle') { + type = 'rect'; + var size = item._size, + width = size.width, + height = size.height; + attrs.x -= width / 2; + attrs.y -= height / 2; + attrs.width = width; + attrs.height = height; + if (radius.isZero()) + radius = null; + } + if (radius) { + if (type === 'circle') { + attrs.r = radius; + } else { + attrs.rx = radius.width; + attrs.ry = radius.height; + } + } + return SvgElement.create(type, attrs, formatter); + } + + function exportCompoundPath(item, options) { + var attrs = getTransform(item._matrix); + var data = item.getPathData(null, options.precision); + if (data) + attrs.d = data; + return SvgElement.create('path', attrs, formatter); + } + + function exportSymbolItem(item, options) { + var attrs = getTransform(item._matrix, true), + definition = item._definition, + node = getDefinition(definition, 'symbol'), + definitionItem = definition._item, + bounds = definitionItem.getBounds(); + if (!node) { + node = SvgElement.create('symbol', { + viewBox: formatter.rectangle(bounds) + }); + node.appendChild(exportSVG(definitionItem, options)); + setDefinition(definition, node, 'symbol'); + } + attrs.href = '#' + node.id; + attrs.x += bounds.x; + attrs.y += bounds.y; + attrs.width = bounds.width; + attrs.height = bounds.height; + attrs.overflow = 'visible'; + return SvgElement.create('use', attrs, formatter); + } + + function exportGradient(color) { + var gradientNode = getDefinition(color, 'color'); + if (!gradientNode) { + var gradient = color.getGradient(), + radial = gradient._radial, + origin = color.getOrigin(), + destination = color.getDestination(), + attrs; + if (radial) { + attrs = { + cx: origin.x, + cy: origin.y, + r: origin.getDistance(destination) + }; + var highlight = color.getHighlight(); + if (highlight) { + attrs.fx = highlight.x; + attrs.fy = highlight.y; + } + } else { + attrs = { + x1: origin.x, + y1: origin.y, + x2: destination.x, + y2: destination.y + }; + } + attrs.gradientUnits = 'userSpaceOnUse'; + gradientNode = SvgElement.create((radial ? 'radial' : 'linear') + + 'Gradient', attrs, formatter); + var stops = gradient._stops; + for (var i = 0, l = stops.length; i < l; i++) { + var stop = stops[i], + stopColor = stop._color, + alpha = stopColor.getAlpha(), + offset = stop._offset; + attrs = { + offset: offset == null ? i / (l - 1) : offset + }; + if (stopColor) + attrs['stop-color'] = stopColor.toCSS(true); + if (alpha < 1) + attrs['stop-opacity'] = alpha; + gradientNode.appendChild( + SvgElement.create('stop', attrs, formatter)); + } + setDefinition(color, gradientNode, 'color'); + } + return 'url(#' + gradientNode.id + ')'; + } + + function exportText(item) { + var node = SvgElement.create('text', getTransform(item._matrix, true), + formatter); + node.textContent = item._content; + return node; + } + + var exporters = { + Group: exportGroup, + Layer: exportGroup, + Raster: exportRaster, + Path: exportPath, + Shape: exportShape, + CompoundPath: exportCompoundPath, + SymbolItem: exportSymbolItem, + PointText: exportText + }; + + function applyStyle(item, node, isRoot) { + var attrs = {}, + parent = !isRoot && item.getParent(), + style = []; + + if (item._name != null) + attrs.id = item._name; + + Base.each(SvgStyles, function(entry) { + var get = entry.get, + type = entry.type, + value = item[get](); + if (entry.exportFilter + ? entry.exportFilter(item, value) + : !parent || !Base.equals(parent[get](), value)) { + if (type === 'color' && value != null) { + var alpha = value.getAlpha(); + if (alpha < 1) + attrs[entry.attribute + '-opacity'] = alpha; + } + if (type === 'style') { + style.push(entry.attribute + ': ' + value); + } else { + attrs[entry.attribute] = value == null ? 'none' + : type === 'color' ? value.gradient + ? exportGradient(value, item) + : value.toCSS(true) + : type === 'array' ? value.join(',') + : type === 'lookup' ? entry.toSVG[value] + : value; + } + } + }); + + if (style.length) + attrs.style = style.join(';'); + + if (attrs.opacity === 1) + delete attrs.opacity; + + if (!item._visible) + attrs.visibility = 'hidden'; + + return SvgElement.set(node, attrs, formatter); + } + + var definitions; + function getDefinition(item, type) { + if (!definitions) + definitions = { ids: {}, svgs: {} }; + return item && definitions.svgs[type + '-' + + (item._id || item.__id || (item.__id = UID.get('svg')))]; + } + + function setDefinition(item, node, type) { + if (!definitions) + getDefinition(); + var typeId = definitions.ids[type] = (definitions.ids[type] || 0) + 1; + node.id = type + '-' + typeId; + definitions.svgs[type + '-' + (item._id || item.__id)] = node; + } + + function exportDefinitions(node, options) { + var svg = node, + defs = null; + if (definitions) { + svg = node.nodeName.toLowerCase() === 'svg' && node; + for (var i in definitions.svgs) { + if (!defs) { + if (!svg) { + svg = SvgElement.create('svg'); + svg.appendChild(node); + } + defs = svg.insertBefore(SvgElement.create('defs'), + svg.firstChild); + } + defs.appendChild(definitions.svgs[i]); + } + definitions = null; + } + return options.asString + ? new self.XMLSerializer().serializeToString(svg) + : svg; + } + + function exportSVG(item, options, isRoot) { + var exporter = exporters[item._class], + node = exporter && exporter(item, options); + if (node) { + var onExport = options.onExport; + if (onExport) + node = onExport(item, node, options) || node; + var data = JSON.stringify(item._data); + if (data && data !== '{}' && data !== 'null') + node.setAttribute('data-paper-data', data); + } + return node && applyStyle(item, node, isRoot); + } + + function setOptions(options) { + if (!options) + options = {}; + formatter = new Formatter(options.precision); + return options; + } + + Item.inject({ + exportSVG: function(options) { + options = setOptions(options); + return exportDefinitions(exportSVG(this, options, true), options); + } + }); + + Project.inject({ + exportSVG: function(options) { + options = setOptions(options); + var children = this._children, + view = this.getView(), + bounds = Base.pick(options.bounds, 'view'), + mx = options.matrix || bounds === 'view' && view._matrix, + matrix = mx && Matrix.read([mx]), + rect = bounds === 'view' + ? new Rectangle([0, 0], view.getViewSize()) + : bounds === 'content' + ? Item._getBounds(children, matrix, { stroke: true }) + .rect + : Rectangle.read([bounds], 0, { readNull: true }), + attrs = { + version: '1.1', + xmlns: SvgElement.svg, + 'xmlns:xlink': SvgElement.xlink, + }; + if (rect) { + attrs.width = rect.width; + attrs.height = rect.height; + if (rect.x || rect.y) + attrs.viewBox = formatter.rectangle(rect); + } + var node = SvgElement.create('svg', attrs, formatter), + parent = node; + if (matrix && !matrix.isIdentity()) { + parent = node.appendChild(SvgElement.create('g', + getTransform(matrix), formatter)); + } + for (var i = 0, l = children.length; i < l; i++) { + parent.appendChild(exportSVG(children[i], options, true)); + } + return exportDefinitions(node, options); + } + }); +}; + +new function() { + + var definitions = {}, + rootSize; + + function getValue(node, name, isString, allowNull, allowPercent) { + var value = SvgElement.get(node, name), + res = value == null + ? allowNull + ? null + : isString ? '' : 0 + : isString + ? value + : parseFloat(value); + return /%\s*$/.test(value) + ? (res / 100) * (allowPercent ? 1 + : rootSize[/x|^width/.test(name) ? 'width' : 'height']) + : res; + } + + function getPoint(node, x, y, allowNull, allowPercent) { + x = getValue(node, x || 'x', false, allowNull, allowPercent); + y = getValue(node, y || 'y', false, allowNull, allowPercent); + return allowNull && (x == null || y == null) ? null + : new Point(x, y); + } + + function getSize(node, w, h, allowNull, allowPercent) { + w = getValue(node, w || 'width', false, allowNull, allowPercent); + h = getValue(node, h || 'height', false, allowNull, allowPercent); + return allowNull && (w == null || h == null) ? null + : new Size(w, h); + } + + function convertValue(value, type, lookup) { + return value === 'none' ? null + : type === 'number' ? parseFloat(value) + : type === 'array' ? + value ? value.split(/[\s,]+/g).map(parseFloat) : [] + : type === 'color' ? getDefinition(value) || value + : type === 'lookup' ? lookup[value] + : value; + } + + function importGroup(node, type, options, isRoot) { + var nodes = node.childNodes, + isClip = type === 'clippath', + isDefs = type === 'defs', + item = new Group(), + project = item._project, + currentStyle = project._currentStyle, + children = []; + if (!isClip && !isDefs) { + item = applyAttributes(item, node, isRoot); + project._currentStyle = item._style.clone(); + } + if (isRoot) { + var defs = node.querySelectorAll('defs'); + for (var i = 0, l = defs.length; i < l; i++) { + importNode(defs[i], options, false); + } + } + for (var i = 0, l = nodes.length; i < l; i++) { + var childNode = nodes[i], + child; + if (childNode.nodeType === 1 + && !/^defs$/i.test(childNode.nodeName) + && (child = importNode(childNode, options, false)) + && !(child instanceof SymbolDefinition)) + children.push(child); + } + item.addChildren(children); + if (isClip) + item = applyAttributes(item.reduce(), node, isRoot); + project._currentStyle = currentStyle; + if (isClip || isDefs) { + item.remove(); + item = null; + } + return item; + } + + function importPoly(node, type) { + var coords = node.getAttribute('points').match( + /[+-]?(?:\d*\.\d+|\d+\.?)(?:[eE][+-]?\d+)?/g), + points = []; + for (var i = 0, l = coords.length; i < l; i += 2) + points.push(new Point( + parseFloat(coords[i]), + parseFloat(coords[i + 1]))); + var path = new Path(points); + if (type === 'polygon') + path.closePath(); + return path; + } + + function importPath(node) { + return PathItem.create(node.getAttribute('d')); + } + + function importGradient(node, type) { + var id = (getValue(node, 'href', true) || '').substring(1), + radial = type === 'radialgradient', + gradient; + if (id) { + gradient = definitions[id].getGradient(); + if (gradient._radial ^ radial) { + gradient = gradient.clone(); + gradient._radial = radial; + } + } else { + var nodes = node.childNodes, + stops = []; + for (var i = 0, l = nodes.length; i < l; i++) { + var child = nodes[i]; + if (child.nodeType === 1) + stops.push(applyAttributes(new GradientStop(), child)); + } + gradient = new Gradient(stops, radial); + } + var origin, destination, highlight, + scaleToBounds = getValue(node, 'gradientUnits', true) !== + 'userSpaceOnUse'; + if (radial) { + origin = getPoint(node, 'cx', 'cy', false, scaleToBounds); + destination = origin.add( + getValue(node, 'r', false, false, scaleToBounds), 0); + highlight = getPoint(node, 'fx', 'fy', true, scaleToBounds); + } else { + origin = getPoint(node, 'x1', 'y1', false, scaleToBounds); + destination = getPoint(node, 'x2', 'y2', false, scaleToBounds); + } + var color = applyAttributes( + new Color(gradient, origin, destination, highlight), node); + color._scaleToBounds = scaleToBounds; + return null; + } + + var importers = { + '#document': function (node, type, options, isRoot) { + var nodes = node.childNodes; + for (var i = 0, l = nodes.length; i < l; i++) { + var child = nodes[i]; + if (child.nodeType === 1) + return importNode(child, options, isRoot); + } + }, + g: importGroup, + svg: importGroup, + clippath: importGroup, + polygon: importPoly, + polyline: importPoly, + path: importPath, + lineargradient: importGradient, + radialgradient: importGradient, + + image: function (node) { + var raster = new Raster(getValue(node, 'href', true)); + raster.on('load', function() { + var size = getSize(node); + this.setSize(size); + var center = getPoint(node).add(size.divide(2)); + this._matrix.append(new Matrix().translate(center)); + }); + return raster; + }, + + symbol: function(node, type, options, isRoot) { + return new SymbolDefinition( + importGroup(node, type, options, isRoot), true); + }, + + defs: importGroup, + + use: function(node) { + var id = (getValue(node, 'href', true) || '').substring(1), + definition = definitions[id], + point = getPoint(node); + return definition + ? definition instanceof SymbolDefinition + ? definition.place(point) + : definition.clone().translate(point) + : null; + }, + + circle: function(node) { + return new Shape.Circle( + getPoint(node, 'cx', 'cy'), + getValue(node, 'r')); + }, + + ellipse: function(node) { + return new Shape.Ellipse({ + center: getPoint(node, 'cx', 'cy'), + radius: getSize(node, 'rx', 'ry') + }); + }, + + rect: function(node) { + return new Shape.Rectangle(new Rectangle( + getPoint(node), + getSize(node) + ), getSize(node, 'rx', 'ry')); + }, + + line: function(node) { + return new Path.Line( + getPoint(node, 'x1', 'y1'), + getPoint(node, 'x2', 'y2')); + }, + + text: function(node) { + var text = new PointText(getPoint(node).add( + getPoint(node, 'dx', 'dy'))); + text.setContent(node.textContent.trim() || ''); + return text; + } + }; + + function applyTransform(item, value, name, node) { + if (item.transform) { + var transforms = (node.getAttribute(name) || '').split(/\)\s*/g), + matrix = new Matrix(); + for (var i = 0, l = transforms.length; i < l; i++) { + var transform = transforms[i]; + if (!transform) + break; + var parts = transform.split(/\(\s*/), + command = parts[0], + v = parts[1].split(/[\s,]+/g); + for (var j = 0, m = v.length; j < m; j++) + v[j] = parseFloat(v[j]); + switch (command) { + case 'matrix': + matrix.append( + new Matrix(v[0], v[1], v[2], v[3], v[4], v[5])); + break; + case 'rotate': + matrix.rotate(v[0], v[1] || 0, v[2] || 0); + break; + case 'translate': + matrix.translate(v[0], v[1] || 0); + break; + case 'scale': + matrix.scale(v); + break; + case 'skewX': + matrix.skew(v[0], 0); + break; + case 'skewY': + matrix.skew(0, v[0]); + break; + } + } + item.transform(matrix); + } + } + + function applyOpacity(item, value, name) { + var key = name === 'fill-opacity' ? 'getFillColor' : 'getStrokeColor', + color = item[key] && item[key](); + if (color) + color.setAlpha(parseFloat(value)); + } + + var attributes = Base.set(Base.each(SvgStyles, function(entry) { + this[entry.attribute] = function(item, value) { + if (item[entry.set]) { + item[entry.set](convertValue(value, entry.type, entry.fromSVG)); + if (entry.type === 'color') { + var color = item[entry.get](); + if (color) { + if (color._scaleToBounds) { + var bounds = item.getBounds(); + color.transform(new Matrix() + .translate(bounds.getPoint()) + .scale(bounds.getSize())); + } + } + } + } + }; + }, {}), { + id: function(item, value) { + definitions[value] = item; + if (item.setName) + item.setName(value); + }, + + 'clip-path': function(item, value) { + var clip = getDefinition(value); + if (clip) { + clip = clip.clone(); + clip.setClipMask(true); + if (item instanceof Group) { + item.insertChild(0, clip); + } else { + return new Group(clip, item); + } + } + }, + + gradientTransform: applyTransform, + transform: applyTransform, + + 'fill-opacity': applyOpacity, + 'stroke-opacity': applyOpacity, + + visibility: function(item, value) { + if (item.setVisible) + item.setVisible(value === 'visible'); + }, + + display: function(item, value) { + if (item.setVisible) + item.setVisible(value !== null); + }, + + 'stop-color': function(item, value) { + if (item.setColor) + item.setColor(value); + }, + + 'stop-opacity': function(item, value) { + if (item._color) + item._color.setAlpha(parseFloat(value)); + }, + + offset: function(item, value) { + if (item.setOffset) { + var percent = value.match(/(.*)%$/); + item.setOffset(percent ? percent[1] / 100 : parseFloat(value)); + } + }, + + viewBox: function(item, value, name, node, styles) { + var rect = new Rectangle(convertValue(value, 'array')), + size = getSize(node, null, null, true), + group, + matrix; + if (item instanceof Group) { + var scale = size ? size.divide(rect.getSize()) : 1, + matrix = new Matrix().scale(scale) + .translate(rect.getPoint().negate()); + group = item; + } else if (item instanceof SymbolDefinition) { + if (size) + rect.setSize(size); + group = item._item; + } + if (group) { + if (getAttribute(node, 'overflow', styles) !== 'visible') { + var clip = new Shape.Rectangle(rect); + clip.setClipMask(true); + group.addChild(clip); + } + if (matrix) + group.transform(matrix); + } + } + }); + + function getAttribute(node, name, styles) { + var attr = node.attributes[name], + value = attr && attr.value; + if (!value && node.style) { + var style = Base.camelize(name); + value = node.style[style]; + if (!value && styles.node[style] !== styles.parent[style]) + value = styles.node[style]; + } + return !value ? undefined + : value === 'none' ? null + : value; + } + + function applyAttributes(item, node, isRoot) { + var parent = node.parentNode, + styles = { + node: DomElement.getStyles(node) || {}, + parent: !isRoot && !/^defs$/i.test(parent.tagName) + && DomElement.getStyles(parent) || {} + }; + Base.each(attributes, function(apply, name) { + var value = getAttribute(node, name, styles); + item = value !== undefined + && apply(item, value, name, node, styles) || item; + }); + return item; + } + + function getDefinition(value) { + var match = value && value.match(/\((?:["'#]*)([^"')]+)/), + name = match && match[1], + res = name && definitions[window + ? name.replace(window.location.href.split('#')[0] + '#', '') + : name]; + if (res && res._scaleToBounds) { + res = res.clone(); + res._scaleToBounds = true; + } + return res; + } + + function importNode(node, options, isRoot) { + var type = node.nodeName.toLowerCase(), + isElement = type !== '#document', + body = document.body, + container, + parent, + next; + if (isRoot && isElement) { + rootSize = paper.getView().getSize(); + rootSize = getSize(node, null, null, true) || rootSize; + container = SvgElement.create('svg', { + style: 'stroke-width: 1px; stroke-miterlimit: 10' + }); + parent = node.parentNode; + next = node.nextSibling; + container.appendChild(node); + body.appendChild(container); + } + var settings = paper.settings, + applyMatrix = settings.applyMatrix, + insertItems = settings.insertItems; + settings.applyMatrix = false; + settings.insertItems = false; + var importer = importers[type], + item = importer && importer(node, type, options, isRoot) || null; + settings.insertItems = insertItems; + settings.applyMatrix = applyMatrix; + if (item) { + if (isElement && !(item instanceof Group)) + item = applyAttributes(item, node, isRoot); + var onImport = options.onImport, + data = isElement && node.getAttribute('data-paper-data'); + if (onImport) + item = onImport(node, item, options) || item; + if (options.expandShapes && item instanceof Shape) { + item.remove(); + item = item.toPath(); + } + if (data) + item._data = JSON.parse(data); + } + if (container) { + body.removeChild(container); + if (parent) { + if (next) { + parent.insertBefore(node, next); + } else { + parent.appendChild(node); + } + } + } + if (isRoot) { + definitions = {}; + if (item && Base.pick(options.applyMatrix, applyMatrix)) + item.matrix.apply(true, true); + } + return item; + } + + function importSVG(source, options, owner) { + if (!source) + return null; + options = typeof options === 'function' ? { onLoad: options } + : options || {}; + var scope = paper, + item = null; + + function onLoad(svg) { + try { + var node = typeof svg === 'object' ? svg : new self.DOMParser() + .parseFromString(svg, 'image/svg+xml'); + if (!node.nodeName) { + node = null; + throw new Error('Unsupported SVG source: ' + source); + } + paper = scope; + item = importNode(node, options, true); + if (!options || options.insert !== false) { + owner._insertItem(undefined, item); + } + var onLoad = options.onLoad; + if (onLoad) + onLoad(item, svg); + } catch (e) { + onError(e); + } + } + + function onError(message, status) { + var onError = options.onError; + if (onError) { + onError(message, status); + } else { + throw new Error(message); + } + } + + if (typeof source === 'string' && !/^.* \ No newline at end of file + \ No newline at end of file diff --git a/docs/images/chapters/offsetting/1d586b939b44ff9bdb42562a12ac2779.svg b/docs/images/chapters/offsetting/1d586b939b44ff9bdb42562a12ac2779.svg index ca6b1c21..3aa2311b 100644 --- a/docs/images/chapters/offsetting/1d586b939b44ff9bdb42562a12ac2779.svg +++ b/docs/images/chapters/offsetting/1d586b939b44ff9bdb42562a12ac2779.svg @@ -1 +1 @@ - \ No newline at end of file + \ No newline at end of file diff --git a/docs/images/chapters/offsetting/5bfee4f2ae27304475673d0596e42f9a.svg b/docs/images/chapters/offsetting/5bfee4f2ae27304475673d0596e42f9a.svg index 62f1e96a..3e6bee3e 100644 --- a/docs/images/chapters/offsetting/5bfee4f2ae27304475673d0596e42f9a.svg +++ b/docs/images/chapters/offsetting/5bfee4f2ae27304475673d0596e42f9a.svg @@ -1 +1 @@ - \ No newline at end of file + \ No newline at end of file diff --git a/docs/images/chapters/offsetting/91cd824148a388762d27e40fabb34e0d.png b/docs/images/chapters/offsetting/91cd824148a388762d27e40fabb34e0d.png new file mode 100644 index 00000000..1473d5cc Binary files /dev/null and b/docs/images/chapters/offsetting/91cd824148a388762d27e40fabb34e0d.png differ diff --git a/docs/images/chapters/offsetting/953485135c6d856ae1327fd47e55c920.png b/docs/images/chapters/offsetting/953485135c6d856ae1327fd47e55c920.png new file mode 100644 index 00000000..b8f4f1fd Binary files /dev/null and b/docs/images/chapters/offsetting/953485135c6d856ae1327fd47e55c920.png differ diff --git a/docs/images/chapters/offsetting/b262e50c085815421d94e120fc17f1c8.svg b/docs/images/chapters/offsetting/b262e50c085815421d94e120fc17f1c8.svg index 69eb63ea..82ca5a2b 100644 --- a/docs/images/chapters/offsetting/b262e50c085815421d94e120fc17f1c8.svg +++ b/docs/images/chapters/offsetting/b262e50c085815421d94e120fc17f1c8.svg @@ -1 +1 @@ - \ No newline at end of file + \ No newline at end of file diff --git a/docs/images/chapters/offsetting/fa6c243de2aa78b7451e0086848dfdfc.svg b/docs/images/chapters/offsetting/fa6c243de2aa78b7451e0086848dfdfc.svg index a56042c1..16cd4517 100644 --- a/docs/images/chapters/offsetting/fa6c243de2aa78b7451e0086848dfdfc.svg +++ b/docs/images/chapters/offsetting/fa6c243de2aa78b7451e0086848dfdfc.svg @@ -1 +1 @@ - \ No newline at end of file + \ No newline at end of file diff --git a/docs/images/chapters/shapes/46b3f87fa3aa9b54b688fbdfbe9ffb5e.png b/docs/images/chapters/shapes/46b3f87fa3aa9b54b688fbdfbe9ffb5e.png new file mode 100644 index 00000000..ff7c4e9c Binary files /dev/null and b/docs/images/chapters/shapes/46b3f87fa3aa9b54b688fbdfbe9ffb5e.png differ diff --git a/docs/images/op_base.gif b/docs/images/op_base.gif new file mode 100644 index 00000000..d8de5cd4 Binary files /dev/null and b/docs/images/op_base.gif differ diff --git a/docs/images/op_exclusion.gif b/docs/images/op_exclusion.gif new file mode 100644 index 00000000..77810aea Binary files /dev/null and b/docs/images/op_exclusion.gif differ diff --git a/docs/images/op_intersection.gif b/docs/images/op_intersection.gif new file mode 100644 index 00000000..2a00e456 Binary files /dev/null and b/docs/images/op_intersection.gif differ diff --git a/docs/images/op_union.gif b/docs/images/op_union.gif new file mode 100644 index 00000000..dac56686 Binary files /dev/null and b/docs/images/op_union.gif differ diff --git a/docs/index.html b/docs/index.html index 83ef8e1f..fd0f04b7 100644 --- a/docs/index.html +++ b/docs/index.html @@ -102,7 +102,6 @@
  • Bézier curves and Catmull-Rom curves
  • Creating a Catmull-Rom curve from three points
  • Forming poly-Bézier curves
    • -
  • Boolean shape operations
  • Curve offsetting
  • Graduated curve offsetting
  • Circles and quadratic Bézier curves
    • @@ -2055,51 +2054,6 @@ for p = 1 to points.length-3 (inclusive):

    Again, we see that cubic curves are now rather nice to work with, but quadratic curves have a new, very serious problem: we can move an on-curve point in such a way that we can't compute what needs to "happen next". Move the top point down, below the left and right points, for instance. There is no way to preserve correct control points without a kink at the bottom point. Quadratic curves: just not that good...

    A final improvement is to offer fine-level control over which points behave which, so that you can have "kinks" or individually controlled segments when you need them, with nicely well-behaved curves for the rest of the path. Implementing that, is left as an exercise for the reader.

    - -
    -

    Boolean shape operations

    -

    We can apply the topics covered so far in this primer to effect boolean shape operations: getting the union, intersection, or exclusion, between two or more shapes that involve Bézier curves. For simplicity (well... sort of, more homogeneity), we'll be looking at poly-Bézier shapes only, but a shape that consists of a mix of lines and Bézier curves is technically a simplification. (Although it does mean we need to write a definition for the class of shapes that mix lines and Bézier curves. Since poly-Bézier curves are a superset, we'll be using those in the following examples.)

    -

    The procedure for performing boolean operations consists, broadly, of four steps:

    -
      -
    1. Find the intersection points between both shapes,
      2. -
    2. cut up the shapes into multiple sections between these intersections,
      3. -
    3. discard any section that isn't part of the desired operation's resultant shape, and
      4. -
    4. link up the remaining sections to form the new shape.
      5. -
    -

    Finding all intersections between two poly-Bézier curves, or any poly-line-section shape, is similar to the iterative algorithm discussed in the section on curve/curve intersection. For each segment in the poly-Bézier curve, we check whether its bounding box overlaps with any of the segment bounding boxes in the other poly-Bézier curve. If so, we run normal intersection detection.

    -

    After finding all intersection points, we split up our poly-Bézier curves, and make sure to record which of the newly formed poly-Bézier curves might potentially link up at the points we split the originals up at. This will let us quickly glue poly-Bézier curves back together after the next step.

    -

    Once we have all the new poly-Bézier curves, we run the first step of the desired boolean operation.

    -
      -
    • Union: discard all poly-Bézier curves that lie "inside" our union of our shapes. E.g. if we want the union of two overlapping circles, the resulting shape is the outline.
      • -
    • Intersection: discard all poly-Bézier curves that lie "outside" the intersection of the two shapes. E.g. if we want the intersection of two overlapping circles, the resulting shape is the tapered ellipse where they overlap.
      • -
    • Exclusion: none of the sections are discarded, but we will need to link the shapes back up in a special way. Flip any section that would qualify for removal under UNION rules.
      • -
    - - - - - -
    - - Two overlapping shapes. - - - The unified region. - - - Their intersection. - - - Their exclusion regions. -
    - -

    The main complication in the outlined procedure here is determining how sections qualify in terms of being "inside" and "outside" of our shapes. For this, we need to be able to perform point-in-shape detection, for which we'll use a classic algorithm: getting the "crossing number" by using ray casting, and then testing for "insidedness" by applying the even-odd rule: For any point and any shape, we can cast a ray from our point, to some point that we know lies outside of the shape (such as a corner of our drawing surface). We then count how many times that line crosses our shape (remember that we can perform line/curve intersection detection quite easily). If the number of times it crosses the shape's outline is even, the point did not actually lie inside our shape. If the number of intersections is odd, our point did lie inside out shape. With that knowledge, we can decide whether to treat a section that such a point lies on "needs removal" (under union rules), "needs preserving" (under intersection rules), or "needs flipping" (under exclusion rules).

    -

    These operations are expensive, and implementing your own code for this is generally a bad idea if there is already a geometry package available for your language of choice. In this case, for JavaScript the most excellent Paper.js already comes with all the code in place to perform efficient boolean shape operations, so rather that implement an inferior version here, I can strongly recommend the Paper.js library if you intend to do any boolean shape work.

    -

    The following graphic shows Paper.js doing its thing for two shapes: one static, and one that is linked to your mouse pointer. If you move the mouse around, you'll see how the shape intersections are resolved. The base shapes are outlined in blue, and the boolean result is coloured red.

    - - - -

    Curve offsetting

    @@ -2111,16 +2065,16 @@ for p = 1 to points.length-3 (inclusive):

    "What do you mean, you can't? Prove it."

    First off, when I say "you can't," what I really mean is "you can't offset a Bézier curve with another Bézier curve", not even by using a really high order curve. You can find the function that describes the offset curve, but it won't be a polynomial, and as such it cannot be represented as a Bézier curve, which has to be a polynomial. Let's look at why this is:

    From a mathematical point of view, an offset curve O(t) is a curve such that, given our original curve B(t), any point on O(t) is a fixed distance d away from coordinate B(t). So let's math that:

    - +

    However, we're working in 2D, and d is a single value, so we want to turn it into a vector. If we want a point distance d "away" from the curve B(t) then what we really mean is that we want a point at d times the "normal vector" from point B(t), where the "normal" is a vector that runs perpendicular ("at a right angle") to the tangent at B(t). Easy enough:

    - +

    Now this still isn't very useful unless we know what the formula for N(t) is, so let's find out. N(t) runs perpendicular to the original curve tangent, and we know that the tangent is simply B'(t), so we could just rotate that 90 degrees and be done with it. However, we need to ensure that N(t) has the same magnitude for every t, or the offset curve won't be at a uniform distance, thus not being an offset curve at all. The easiest way to guarantee this is to make sure N(t) always has length 1, which we can achieve by dividing B'(t) by its magnitude:

    - +

    Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually denoted with double vertical bars:

    - +

    So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end:

    - +

    And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is screwing everything up, because it turns our nice polynomials into things that are no longer polynomials.

    There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with unweighted binomial coefficients has a square root that is also a polynomial. Now, you might think that Bézier curves are just fine because they do, but they don't; remember that only the base function has binomial coefficients. That's before we factor in our coordinates, which turn it into a non-binomial polygon. The only way to make sure the functions stay binomial is to make all our coordinates have the same value. And that's not a curve, that's a point. We can already create offset curves for points, we call them circles, and they have much simpler functions than Bézier curves.

    So, since the tangent length isn't a polynomial, the normalised tangent won't be a polynomial either, which means N(t) won't be a polynomial, which means that d times N(t) won't be a polynomial, which means that, ultimately, O(t) won't be a polynomial, which means that even if we can determine the function for O(t) just fine (and that's far from trivial!), it simply cannot be represented as a Bézier curve.

    @@ -2129,9 +2083,24 @@ for p = 1 to points.length-3 (inclusive):

    So, you cannot offset a Bézier curve perfectly with another Bézier curve, no matter how high-order you make that other Bézier curve. However, we can chop up a curve into "safe" sub-curves (where "safe" means that all the control points are always on a single side of the baseline, and the midpoint of the curve at t=0.5 is roughly in the center of the polygon defined by the curve coordinates) and then point-scale each sub-curve with respect to its scaling origin (which is the intersection of the point normals at the start and end points).

    A good way to do this reduction is to first find the curve's extreme points, as explained in the earlier section on curve extremities, and use these as initial splitting points. After this initial split, we can check each individual segment to see if it's "safe enough" based on where the center of the curve is. If the on-curve point for t=0.5 is too far off from the center, we simply split the segment down the middle. Generally this is more than enough to end up with safe segments.

    -

    The following graphics show off curve offsetting, and you can use your up and down arrow keys to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled.

    - - +

    The following graphics show off curve offsetting, and you can use the slider to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled.

    + + + Scripts are disabled. Showing fallback image. + + + + + + + + + Scripts are disabled. Showing fallback image. + + + + +

    You may notice that this may still lead to small 'jumps' in the sub-curves when moving the curve around. This is caused by the fact that we're still performing a naive form of offsetting, moving the control points the same distance as the start and end points. If the curve is large enough, this may still lead to incorrect offsets.

    @@ -2148,8 +2117,23 @@ for p = 1 to points.length-3 (inclusive):
  • end: map(<strong>S+length(subcurve)</strong>, 0,L, s,e)

    • At each of the relevant points (start, end, and the projections of the control points onto the curve) we know the curve's normal, so offsetting is simply a matter of taking our original point, and moving it along the normal vector by the offset distance for each point. Doing so will give us the following result (these have with a starting width of 0, and an end width of 40 pixels, but can be controlled with your up and down arrow keys):

    - - + + + Scripts are disabled. Showing fallback image. + + + + + + + + + Scripts are disabled. Showing fallback image. + + + + +
    diff --git a/docs/ja-JP/index.html b/docs/ja-JP/index.html index d57f26c8..e34bed98 100644 --- a/docs/ja-JP/index.html +++ b/docs/ja-JP/index.html @@ -102,7 +102,6 @@
  • Bézier curves and Catmull-Rom curves
  • Creating a Catmull-Rom curve from three points
  • Forming poly-Bézier curves
    • -
  • Boolean shape operations
  • Curve offsetting
  • Graduated curve offsetting
  • Circles and quadratic Bézier curves
    • @@ -2051,51 +2050,6 @@ for p = 1 to points.length-3 (inclusive):

    Again, we see that cubic curves are now rather nice to work with, but quadratic curves have a new, very serious problem: we can move an on-curve point in such a way that we can't compute what needs to "happen next". Move the top point down, below the left and right points, for instance. There is no way to preserve correct control points without a kink at the bottom point. Quadratic curves: just not that good...

    A final improvement is to offer fine-level control over which points behave which, so that you can have "kinks" or individually controlled segments when you need them, with nicely well-behaved curves for the rest of the path. Implementing that, is left as an exercise for the reader.

    -
    -
    -

    Boolean shape operations

    -

    We can apply the topics covered so far in this primer to effect boolean shape operations: getting the union, intersection, or exclusion, between two or more shapes that involve Bézier curves. For simplicity (well... sort of, more homogeneity), we'll be looking at poly-Bézier shapes only, but a shape that consists of a mix of lines and Bézier curves is technically a simplification. (Although it does mean we need to write a definition for the class of shapes that mix lines and Bézier curves. Since poly-Bézier curves are a superset, we'll be using those in the following examples.)

    -

    The procedure for performing boolean operations consists, broadly, of four steps:

    -
      -
    1. Find the intersection points between both shapes,
      2. -
    2. cut up the shapes into multiple sections between these intersections,
      3. -
    3. discard any section that isn't part of the desired operation's resultant shape, and
      4. -
    4. link up the remaining sections to form the new shape.
      5. -
    -

    Finding all intersections between two poly-Bézier curves, or any poly-line-section shape, is similar to the iterative algorithm discussed in the section on curve/curve intersection. For each segment in the poly-Bézier curve, we check whether its bounding box overlaps with any of the segment bounding boxes in the other poly-Bézier curve. If so, we run normal intersection detection.

    -

    After finding all intersection points, we split up our poly-Bézier curves, and make sure to record which of the newly formed poly-Bézier curves might potentially link up at the points we split the originals up at. This will let us quickly glue poly-Bézier curves back together after the next step.

    -

    Once we have all the new poly-Bézier curves, we run the first step of the desired boolean operation.

    -
      -
    • Union: discard all poly-Bézier curves that lie "inside" our union of our shapes. E.g. if we want the union of two overlapping circles, the resulting shape is the outline.
      • -
    • Intersection: discard all poly-Bézier curves that lie "outside" the intersection of the two shapes. E.g. if we want the intersection of two overlapping circles, the resulting shape is the tapered ellipse where they overlap.
      • -
    • Exclusion: none of the sections are discarded, but we will need to link the shapes back up in a special way. Flip any section that would qualify for removal under UNION rules.
      • -
    - - - - - -
    - - Two overlapping shapes. - - - The unified region. - - - Their intersection. - - - Their exclusion regions. -
    - -

    The main complication in the outlined procedure here is determining how sections qualify in terms of being "inside" and "outside" of our shapes. For this, we need to be able to perform point-in-shape detection, for which we'll use a classic algorithm: getting the "crossing number" by using ray casting, and then testing for "insidedness" by applying the even-odd rule: For any point and any shape, we can cast a ray from our point, to some point that we know lies outside of the shape (such as a corner of our drawing surface). We then count how many times that line crosses our shape (remember that we can perform line/curve intersection detection quite easily). If the number of times it crosses the shape's outline is even, the point did not actually lie inside our shape. If the number of intersections is odd, our point did lie inside out shape. With that knowledge, we can decide whether to treat a section that such a point lies on "needs removal" (under union rules), "needs preserving" (under intersection rules), or "needs flipping" (under exclusion rules).

    -

    These operations are expensive, and implementing your own code for this is generally a bad idea if there is already a geometry package available for your language of choice. In this case, for JavaScript the most excellent Paper.js already comes with all the code in place to perform efficient boolean shape operations, so rather that implement an inferior version here, I can strongly recommend the Paper.js library if you intend to do any boolean shape work.

    -

    The following graphic shows Paper.js doing its thing for two shapes: one static, and one that is linked to your mouse pointer. If you move the mouse around, you'll see how the shape intersections are resolved. The base shapes are outlined in blue, and the boolean result is coloured red.

    - - - -

    Curve offsetting

    @@ -2107,16 +2061,16 @@ for p = 1 to points.length-3 (inclusive):

    "What do you mean, you can't? Prove it."

    First off, when I say "you can't," what I really mean is "you can't offset a Bézier curve with another Bézier curve", not even by using a really high order curve. You can find the function that describes the offset curve, but it won't be a polynomial, and as such it cannot be represented as a Bézier curve, which has to be a polynomial. Let's look at why this is:

    From a mathematical point of view, an offset curve O(t) is a curve such that, given our original curve B(t), any point on O(t) is a fixed distance d away from coordinate B(t). So let's math that:

    - +

    However, we're working in 2D, and d is a single value, so we want to turn it into a vector. If we want a point distance d "away" from the curve B(t) then what we really mean is that we want a point at d times the "normal vector" from point B(t), where the "normal" is a vector that runs perpendicular ("at a right angle") to the tangent at B(t). Easy enough:

    - +

    Now this still isn't very useful unless we know what the formula for N(t) is, so let's find out. N(t) runs perpendicular to the original curve tangent, and we know that the tangent is simply B'(t), so we could just rotate that 90 degrees and be done with it. However, we need to ensure that N(t) has the same magnitude for every t, or the offset curve won't be at a uniform distance, thus not being an offset curve at all. The easiest way to guarantee this is to make sure N(t) always has length 1, which we can achieve by dividing B'(t) by its magnitude:

    - +

    Determining the length requires computing an arc length, and this is where things get Tricky with a capital T. First off, to compute arc length from some start a to end b, we must use the formula we saw earlier. Noting that "length" is usually denoted with double vertical bars:

    - +

    So if we want the length of the tangent, we plug in B'(t), with t = 0 as start and t = 1 as end:

    - +

    And that's where things go wrong. It doesn't even really matter what the second derivative for B(t) is, that square root is screwing everything up, because it turns our nice polynomials into things that are no longer polynomials.

    There is a small class of polynomials where the square root is also a polynomial, but they're utterly useless to us: any polynomial with unweighted binomial coefficients has a square root that is also a polynomial. Now, you might think that Bézier curves are just fine because they do, but they don't; remember that only the base function has binomial coefficients. That's before we factor in our coordinates, which turn it into a non-binomial polygon. The only way to make sure the functions stay binomial is to make all our coordinates have the same value. And that's not a curve, that's a point. We can already create offset curves for points, we call them circles, and they have much simpler functions than Bézier curves.

    So, since the tangent length isn't a polynomial, the normalised tangent won't be a polynomial either, which means N(t) won't be a polynomial, which means that d times N(t) won't be a polynomial, which means that, ultimately, O(t) won't be a polynomial, which means that even if we can determine the function for O(t) just fine (and that's far from trivial!), it simply cannot be represented as a Bézier curve.

    @@ -2125,9 +2079,24 @@ for p = 1 to points.length-3 (inclusive):

    So, you cannot offset a Bézier curve perfectly with another Bézier curve, no matter how high-order you make that other Bézier curve. However, we can chop up a curve into "safe" sub-curves (where "safe" means that all the control points are always on a single side of the baseline, and the midpoint of the curve at t=0.5 is roughly in the center of the polygon defined by the curve coordinates) and then point-scale each sub-curve with respect to its scaling origin (which is the intersection of the point normals at the start and end points).

    A good way to do this reduction is to first find the curve's extreme points, as explained in the earlier section on curve extremities, and use these as initial splitting points. After this initial split, we can check each individual segment to see if it's "safe enough" based on where the center of the curve is. If the on-curve point for t=0.5 is too far off from the center, we simply split the segment down the middle. Generally this is more than enough to end up with safe segments.

    -

    The following graphics show off curve offsetting, and you can use your up and down arrow keys to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled.

    - - +

    The following graphics show off curve offsetting, and you can use the slider to control the distance at which the curve gets offset. The curve first gets reduced to safe segments, each of which is then offset at the desired distance. Especially for simple curves, particularly easily set up for quadratic curves, no reduction is necessary, but the more twisty the curve gets, the more the curve needs to be reduced in order to get segments that can safely be scaled.

    + + + Scripts are disabled. Showing fallback image. + + + + + + + + + Scripts are disabled. Showing fallback image. + + + + +

    You may notice that this may still lead to small 'jumps' in the sub-curves when moving the curve around. This is caused by the fact that we're still performing a naive form of offsetting, moving the control points the same distance as the start and end points. If the curve is large enough, this may still lead to incorrect offsets.

    @@ -2144,8 +2113,23 @@ for p = 1 to points.length-3 (inclusive):
  • end: map(<strong>S+length(subcurve)</strong>, 0,L, s,e)

    • At each of the relevant points (start, end, and the projections of the control points onto the curve) we know the curve's normal, so offsetting is simply a matter of taking our original point, and moving it along the normal vector by the offset distance for each point. Doing so will give us the following result (these have with a starting width of 0, and an end width of 40 pixels, but can be controlled with your up and down arrow keys):

    - - + + + Scripts are disabled. Showing fallback image. + + + + + + + + + Scripts are disabled. Showing fallback image. + + + + +
    diff --git a/docs/js/custom-element/api/graphics-api.js b/docs/js/custom-element/api/graphics-api.js index 8fa69e0e..32396a72 100644 --- a/docs/js/custom-element/api/graphics-api.js +++ b/docs/js/custom-element/api/graphics-api.js @@ -88,6 +88,12 @@ class GraphicsAPI extends BaseAPI { onMouseDown(evt) { super.onMouseDown(evt); + // mark this position as "when the cursor came down" + this.cursor.mark = { x: this.cursor.x, y: this.cursor.y }; + + // as well as for "what it was the previous cursor event" + this.cursor.last = { x: this.cursor.x, y: this.cursor.y }; + const cdist = evt.targetTouches ? TOUCH_PRECISION_ZONE : MOUSE_PRECISION_ZONE; @@ -97,8 +103,6 @@ class GraphicsAPI extends BaseAPI { d = new Vector(p).dist(this.cursor); if (d <= cdist) { this.currentPoint = p; - this.currentPoint.mark = { x: p.x, y: p.y }; - this.currentPoint.last = { x: p.x, y: p.y }; break; } } @@ -106,27 +110,32 @@ class GraphicsAPI extends BaseAPI { onMouseMove(evt) { super.onMouseMove(evt); - if (this.currentPoint) { - this.currentPoint.last = { - x: this.currentPoint.x, - y: this.currentPoint.y, - }; - this.currentPoint.x = this.cursor.x; - this.currentPoint.y = this.cursor.y; - this.currentPoint.diff = { - x: this.cursor.x - this.currentPoint.last.x, - y: this.cursor.y - this.currentPoint.last.y, + + if (this.cursor.down) { + // If we're click-dragging, or touch-moving, update the + // "since last event" as well as "compared to initial event" + // cursor positional differences: + this.cursor.diff = { + x: this.cursor.x - this.cursor.last.x, + y: this.cursor.y - this.cursor.last.y, total: { - x: this.cursor.x - this.currentPoint.mark.x, - y: this.cursor.y - this.currentPoint.mark.y, + x: this.cursor.x - this.cursor.mark.x, + y: this.cursor.y - this.cursor.mark.y, }, }; + this.cursor.last = { x: this.cursor.x, y: this.cursor.y }; + } + + // Are we dragging a movable point around? + if (this.currentPoint) { + this.currentPoint.x = this.cursor.x; + this.currentPoint.y = this.cursor.y; } else { for (let i = 0, e = this.movable.length, p; i < e; i++) { p = this.movable[i]; if (new Vector(p).dist(this.cursor) <= 5) { this.setCursor(this.HAND); - return; // NOTE: this is a return, not a break. + return; // NOTE: this is a return, not a break! } } this.setCursor(this.POINTER); @@ -135,9 +144,9 @@ class GraphicsAPI extends BaseAPI { onMouseUp(evt) { super.onMouseUp(evt); - delete this.currentPoint.mark; - delete this.currentPoint.last; - delete this.currentPoint.diff; + delete this.cursor.mark; + delete this.cursor.last; + delete this.cursor.diff; this.currentPoint = false; } diff --git a/docs/js/custom-element/graphics-element.js b/docs/js/custom-element/graphics-element.js index 3b9c0164..c6f81bba 100644 --- a/docs/js/custom-element/graphics-element.js +++ b/docs/js/custom-element/graphics-element.js @@ -191,18 +191,22 @@ class GraphicsElement extends CustomElement { const globalCode = split.quasiGlobal; const classCode = performCodeSurgery(split.classCode); - this.setupCodeInjection(uid, globalCode, classCode, rerender); + this.setupCodeInjection(src, uid, globalCode, classCode, rerender); } /** * Form the final, perfectly valid JS module code, and create the