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build: `node build.js modules=ALL exclude=gestures,accessors,erasing requirejs minifier=uglifyjs` */\n/*! Fabric.js Copyright 2008-2015, Printio (Juriy Zaytsev, Maxim Chernyak) */\n\nvar fabric = fabric || { version: '5.3.0' };\nif (typeof exports !== 'undefined') {\n exports.fabric = fabric;\n}\n/* _AMD_START_ */\nelse if (typeof define === 'function' && define.amd) {\n define([], function() { return fabric; });\n}\n/* _AMD_END_ */\nif (typeof document !== 'undefined' && typeof window !== 'undefined') {\n if (document instanceof (typeof HTMLDocument !== 'undefined' ? HTMLDocument : Document)) {\n fabric.document = document;\n }\n else {\n fabric.document = document.implementation.createHTMLDocument('');\n }\n fabric.window = window;\n}\nelse {\n // assume we're running under node.js when document/window are not present\n var jsdom = require('jsdom');\n var virtualWindow = new jsdom.JSDOM(\n decodeURIComponent('%3C!DOCTYPE%20html%3E%3Chtml%3E%3Chead%3E%3C%2Fhead%3E%3Cbody%3E%3C%2Fbody%3E%3C%2Fhtml%3E'),\n {\n features: {\n FetchExternalResources: ['img']\n },\n resources: 'usable'\n }).window;\n fabric.document = virtualWindow.document;\n fabric.jsdomImplForWrapper = require('jsdom/lib/jsdom/living/generated/utils').implForWrapper;\n fabric.nodeCanvas = require('jsdom/lib/jsdom/utils').Canvas;\n fabric.window = virtualWindow;\n DOMParser = fabric.window.DOMParser;\n}\n\n/**\n * True when in environment that supports touch events\n * @type boolean\n */\nfabric.isTouchSupported = 'ontouchstart' in fabric.window || 'ontouchstart' in fabric.document ||\n (fabric.window && fabric.window.navigator && fabric.window.navigator.maxTouchPoints > 0);\n\n/**\n * True when in environment that's probably Node.js\n * @type boolean\n */\nfabric.isLikelyNode = typeof Buffer !== 'undefined' &&\n typeof window === 'undefined';\n\n/* _FROM_SVG_START_ */\n/**\n * Attributes parsed from all SVG elements\n * @type array\n */\nfabric.SHARED_ATTRIBUTES = [\n 'display',\n 'transform',\n 'fill', 'fill-opacity', 'fill-rule',\n 'opacity',\n 'stroke', 'stroke-dasharray', 'stroke-linecap', 'stroke-dashoffset',\n 'stroke-linejoin', 'stroke-miterlimit',\n 'stroke-opacity', 'stroke-width',\n 'id', 'paint-order', 'vector-effect',\n 'instantiated_by_use', 'clip-path',\n];\n/* _FROM_SVG_END_ */\n\n/**\n * Pixel per Inch as a default value set to 96. Can be changed for more realistic conversion.\n */\nfabric.DPI = 96;\nfabric.reNum = '(?:[-+]?(?:\\\\d+|\\\\d*\\\\.\\\\d+)(?:[eE][-+]?\\\\d+)?)';\nfabric.commaWsp = '(?:\\\\s+,?\\\\s*|,\\\\s*)';\nfabric.rePathCommand = /([-+]?((\\d+\\.\\d+)|((\\d+)|(\\.\\d+)))(?:[eE][-+]?\\d+)?)/ig;\nfabric.reNonWord = /[ \\n\\.,;!\\?\\-]/;\nfabric.fontPaths = { };\nfabric.iMatrix = [1, 0, 0, 1, 0, 0];\nfabric.svgNS = 'http://www.w3.org/2000/svg';\n\n/**\n * Pixel limit for cache canvases. 1Mpx , 4Mpx should be fine.\n * @since 1.7.14\n * @type Number\n * @default\n */\nfabric.perfLimitSizeTotal = 2097152;\n\n/**\n * Pixel limit for cache canvases width or height. IE fixes the maximum at 5000\n * @since 1.7.14\n * @type Number\n * @default\n */\nfabric.maxCacheSideLimit = 4096;\n\n/**\n * Lowest pixel limit for cache canvases, set at 256PX\n * @since 1.7.14\n * @type Number\n * @default\n */\nfabric.minCacheSideLimit = 256;\n\n/**\n * Cache Object for widths of chars in text rendering.\n */\nfabric.charWidthsCache = { };\n\n/**\n * if webgl is enabled and available, textureSize will determine the size\n * of the canvas backend\n * @since 2.0.0\n * @type Number\n * @default\n */\nfabric.textureSize = 2048;\n\n/**\n * When 'true', style information is not retained when copy/pasting text, making\n * pasted text use destination style.\n * Defaults to 'false'.\n * @type Boolean\n * @default\n */\nfabric.disableStyleCopyPaste = false;\n\n/**\n * Enable webgl for filtering picture is available\n * A filtering backend will be initialized, this will both take memory and\n * time since a default 2048x2048 canvas will be created for the gl context\n * @since 2.0.0\n * @type Boolean\n * @default\n */\nfabric.enableGLFiltering = true;\n\n/**\n * Device Pixel Ratio\n * @see https://developer.apple.com/library/safari/documentation/AudioVideo/Conceptual/HTML-canvas-guide/SettingUptheCanvas/SettingUptheCanvas.html\n */\nfabric.devicePixelRatio = fabric.window.devicePixelRatio ||\n fabric.window.webkitDevicePixelRatio ||\n fabric.window.mozDevicePixelRatio ||\n 1;\n/**\n * Browser-specific constant to adjust CanvasRenderingContext2D.shadowBlur value,\n * which is unitless and not rendered equally across browsers.\n *\n * Values that work quite well (as of October 2017) are:\n * - Chrome: 1.5\n * - Edge: 1.75\n * - Firefox: 0.9\n * - Safari: 0.95\n *\n * @since 2.0.0\n * @type Number\n * @default 1\n */\nfabric.browserShadowBlurConstant = 1;\n\n/**\n * This object contains the result of arc to bezier conversion for faster retrieving if the same arc needs to be converted again.\n * It was an internal variable, is accessible since version 2.3.4\n */\nfabric.arcToSegmentsCache = { };\n\n/**\n * This object keeps the results of the boundsOfCurve calculation mapped by the joined arguments necessary to calculate it.\n * It does speed up calculation, if you parse and add always the same paths, but in case of heavy usage of freedrawing\n * you do not get any speed benefit and you get a big object in memory.\n * The object was a private variable before, while now is appended to the lib so that you have access to it and you\n * can eventually clear it.\n * It was an internal variable, is accessible since version 2.3.4\n */\nfabric.boundsOfCurveCache = { };\n\n/**\n * If disabled boundsOfCurveCache is not used. For apps that make heavy usage of pencil drawing probably disabling it is better\n * @default true\n */\nfabric.cachesBoundsOfCurve = true;\n\n/**\n * Skip performance testing of setupGLContext and force the use of putImageData that seems to be the one that works best on\n * Chrome + old hardware. if your users are experiencing empty images after filtering you may try to force this to true\n * this has to be set before instantiating the filtering backend ( before filtering the first image )\n * @type Boolean\n * @default false\n */\nfabric.forceGLPutImageData = false;\n\nfabric.initFilterBackend = function() {\n if (fabric.enableGLFiltering && fabric.isWebglSupported && fabric.isWebglSupported(fabric.textureSize)) {\n console.log('max texture size: ' + fabric.maxTextureSize);\n return (new fabric.WebglFilterBackend({ tileSize: fabric.textureSize }));\n }\n else if (fabric.Canvas2dFilterBackend) {\n return (new fabric.Canvas2dFilterBackend());\n }\n};\n\n\nif (typeof document !== 'undefined' && typeof window !== 'undefined') {\n // ensure globality even if entire library were function wrapped (as in Meteor.js packaging system)\n window.fabric = fabric;\n}\n\n\n(function() {\n\n /**\n * @private\n * @param {String} eventName\n * @param {Function} handler\n */\n function _removeEventListener(eventName, handler) {\n if (!this.__eventListeners[eventName]) {\n return;\n }\n var eventListener = this.__eventListeners[eventName];\n if (handler) {\n eventListener[eventListener.indexOf(handler)] = false;\n }\n else {\n fabric.util.array.fill(eventListener, false);\n }\n }\n\n /**\n * Observes specified event\n * @memberOf fabric.Observable\n * @alias on\n * @param {String|Object} eventName Event name (eg. 'after:render') or object with key/value pairs (eg. {'after:render': handler, 'selection:cleared': handler})\n * @param {Function} handler Function that receives a notification when an event of the specified type occurs\n * @return {Self} thisArg\n * @chainable\n */\n function on(eventName, handler) {\n if (!this.__eventListeners) {\n this.__eventListeners = { };\n }\n // one object with key/value pairs was passed\n if (arguments.length === 1) {\n for (var prop in eventName) {\n this.on(prop, eventName[prop]);\n }\n }\n else {\n if (!this.__eventListeners[eventName]) {\n this.__eventListeners[eventName] = [];\n }\n this.__eventListeners[eventName].push(handler);\n }\n return this;\n }\n\n function _once(eventName, handler) {\n var _handler = function () {\n handler.apply(this, arguments);\n this.off(eventName, _handler);\n }.bind(this);\n this.on(eventName, _handler);\n }\n\n function once(eventName, handler) {\n // one object with key/value pairs was passed\n if (arguments.length === 1) {\n for (var prop in eventName) {\n _once.call(this, prop, eventName[prop]);\n }\n }\n else {\n _once.call(this, eventName, handler);\n }\n return this;\n }\n\n /**\n * Stops event observing for a particular event handler. Calling this method\n * without arguments removes all handlers for all events\n * @memberOf fabric.Observable\n * @alias off\n * @param {String|Object} eventName Event name (eg. 'after:render') or object with key/value pairs (eg. {'after:render': handler, 'selection:cleared': handler})\n * @param {Function} handler Function to be deleted from EventListeners\n * @return {Self} thisArg\n * @chainable\n */\n function off(eventName, handler) {\n if (!this.__eventListeners) {\n return this;\n }\n\n // remove all key/value pairs (event name -> event handler)\n if (arguments.length === 0) {\n for (eventName in this.__eventListeners) {\n _removeEventListener.call(this, eventName);\n }\n }\n // one object with key/value pairs was passed\n else if (arguments.length === 1 && typeof arguments[0] === 'object') {\n for (var prop in eventName) {\n _removeEventListener.call(this, prop, eventName[prop]);\n }\n }\n else {\n _removeEventListener.call(this, eventName, handler);\n }\n return this;\n }\n\n /**\n * Fires event with an optional options object\n * @memberOf fabric.Observable\n * @param {String} eventName Event name to fire\n * @param {Object} [options] Options object\n * @return {Self} thisArg\n * @chainable\n */\n function fire(eventName, options) {\n if (!this.__eventListeners) {\n return this;\n }\n\n var listenersForEvent = this.__eventListeners[eventName];\n if (!listenersForEvent) {\n return this;\n }\n\n for (var i = 0, len = listenersForEvent.length; i < len; i++) {\n listenersForEvent[i] && listenersForEvent[i].call(this, options || { });\n }\n this.__eventListeners[eventName] = listenersForEvent.filter(function(value) {\n return value !== false;\n });\n return this;\n }\n\n /**\n * @namespace fabric.Observable\n * @tutorial {@link http://fabricjs.com/fabric-intro-part-2#events}\n * @see {@link http://fabricjs.com/events|Events demo}\n */\n fabric.Observable = {\n fire: fire,\n on: on,\n once: once,\n off: off,\n };\n})();\n\n\n/**\n * @namespace fabric.Collection\n */\nfabric.Collection = {\n\n _objects: [],\n\n /**\n * Adds objects to collection, Canvas or Group, then renders canvas\n * (if `renderOnAddRemove` is not `false`).\n * in case of Group no changes to bounding box are made.\n * Objects should be instances of (or inherit from) fabric.Object\n * Use of this function is highly discouraged for groups.\n * you can add a bunch of objects with the add method but then you NEED\n * to run a addWithUpdate call for the Group class or position/bbox will be wrong.\n * @param {...fabric.Object} object Zero or more fabric instances\n * @return {Self} thisArg\n * @chainable\n */\n add: function () {\n this._objects.push.apply(this._objects, arguments);\n if (this._onObjectAdded) {\n for (var i = 0, length = arguments.length; i < length; i++) {\n this._onObjectAdded(arguments[i]);\n }\n }\n this.renderOnAddRemove && this.requestRenderAll();\n return this;\n },\n\n /**\n * Inserts an object into collection at specified index, then renders canvas (if `renderOnAddRemove` is not `false`)\n * An object should be an instance of (or inherit from) fabric.Object\n * Use of this function is highly discouraged for groups.\n * you can add a bunch of objects with the insertAt method but then you NEED\n * to run a addWithUpdate call for the Group class or position/bbox will be wrong.\n * @param {Object} object Object to insert\n * @param {Number} index Index to insert object at\n * @param {Boolean} nonSplicing When `true`, no splicing (shifting) of objects occurs\n * @return {Self} thisArg\n * @chainable\n */\n insertAt: function (object, index, nonSplicing) {\n var objects = this._objects;\n if (nonSplicing) {\n objects[index] = object;\n }\n else {\n objects.splice(index, 0, object);\n }\n this._onObjectAdded && this._onObjectAdded(object);\n this.renderOnAddRemove && this.requestRenderAll();\n return this;\n },\n\n /**\n * Removes objects from a collection, then renders canvas (if `renderOnAddRemove` is not `false`)\n * @param {...fabric.Object} object Zero or more fabric instances\n * @return {Self} thisArg\n * @chainable\n */\n remove: function() {\n var objects = this._objects,\n index, somethingRemoved = false;\n\n for (var i = 0, length = arguments.length; i < length; i++) {\n index = objects.indexOf(arguments[i]);\n\n // only call onObjectRemoved if an object was actually removed\n if (index !== -1) {\n somethingRemoved = true;\n objects.splice(index, 1);\n this._onObjectRemoved && this._onObjectRemoved(arguments[i]);\n }\n }\n\n this.renderOnAddRemove && somethingRemoved && this.requestRenderAll();\n return this;\n },\n\n /**\n * Executes given function for each object in this group\n * @param {Function} callback\n * Callback invoked with current object as first argument,\n * index - as second and an array of all objects - as third.\n * Callback is invoked in a context of Global Object (e.g. `window`)\n * when no `context` argument is given\n *\n * @param {Object} context Context (aka thisObject)\n * @return {Self} thisArg\n * @chainable\n */\n forEachObject: function(callback, context) {\n var objects = this.getObjects();\n for (var i = 0, len = objects.length; i < len; i++) {\n callback.call(context, objects[i], i, objects);\n }\n return this;\n },\n\n /**\n * Returns an array of children objects of this instance\n * Type parameter introduced in 1.3.10\n * since 2.3.5 this method return always a COPY of the array;\n * @param {String} [type] When specified, only objects of this type are returned\n * @return {Array}\n */\n getObjects: function(type) {\n if (typeof type === 'undefined') {\n return this._objects.concat();\n }\n return this._objects.filter(function(o) {\n return o.type === type;\n });\n },\n\n /**\n * Returns object at specified index\n * @param {Number} index\n * @return {Self} thisArg\n */\n item: function (index) {\n return this._objects[index];\n },\n\n /**\n * Returns true if collection contains no objects\n * @return {Boolean} true if collection is empty\n */\n isEmpty: function () {\n return this._objects.length === 0;\n },\n\n /**\n * Returns a size of a collection (i.e: length of an array containing its objects)\n * @return {Number} Collection size\n */\n size: function() {\n return this._objects.length;\n },\n\n /**\n * Returns true if collection contains an object\n * @param {Object} object Object to check against\n * @param {Boolean} [deep=false] `true` to check all descendants, `false` to check only `_objects`\n * @return {Boolean} `true` if collection contains an object\n */\n contains: function (object, deep) {\n if (this._objects.indexOf(object) > -1) {\n return true;\n }\n else if (deep) {\n return this._objects.some(function (obj) {\n return typeof obj.contains === 'function' && obj.contains(object, true);\n });\n }\n return false;\n },\n\n /**\n * Returns number representation of a collection complexity\n * @return {Number} complexity\n */\n complexity: function () {\n return this._objects.reduce(function (memo, current) {\n memo += current.complexity ? current.complexity() : 0;\n return memo;\n }, 0);\n }\n};\n\n\n/**\n * @namespace fabric.CommonMethods\n */\nfabric.CommonMethods = {\n\n /**\n * Sets object's properties from options\n * @param {Object} [options] Options object\n */\n _setOptions: function(options) {\n for (var prop in options) {\n this.set(prop, options[prop]);\n }\n },\n\n /**\n * @private\n * @param {Object} [filler] Options object\n * @param {String} [property] property to set the Gradient to\n */\n _initGradient: function(filler, property) {\n if (filler && filler.colorStops && !(filler instanceof fabric.Gradient)) {\n this.set(property, new fabric.Gradient(filler));\n }\n },\n\n /**\n * @private\n * @param {Object} [filler] Options object\n * @param {String} [property] property to set the Pattern to\n * @param {Function} [callback] callback to invoke after pattern load\n */\n _initPattern: function(filler, property, callback) {\n if (filler && filler.source && !(filler instanceof fabric.Pattern)) {\n this.set(property, new fabric.Pattern(filler, callback));\n }\n else {\n callback && callback();\n }\n },\n\n /**\n * @private\n */\n _setObject: function(obj) {\n for (var prop in obj) {\n this._set(prop, obj[prop]);\n }\n },\n\n /**\n * Sets property to a given value. When changing position/dimension -related properties (left, top, scale, angle, etc.) `set` does not update position of object's borders/controls. If you need to update those, call `setCoords()`.\n * @param {String|Object} key Property name or object (if object, iterate over the object properties)\n * @param {Object|Function} value Property value (if function, the value is passed into it and its return value is used as a new one)\n * @return {fabric.Object} thisArg\n * @chainable\n */\n set: function(key, value) {\n if (typeof key === 'object') {\n this._setObject(key);\n }\n else {\n this._set(key, value);\n }\n return this;\n },\n\n _set: function(key, value) {\n this[key] = value;\n },\n\n /**\n * Toggles specified property from `true` to `false` or from `false` to `true`\n * @param {String} property Property to toggle\n * @return {fabric.Object} thisArg\n * @chainable\n */\n toggle: function(property) {\n var value = this.get(property);\n if (typeof value === 'boolean') {\n this.set(property, !value);\n }\n return this;\n },\n\n /**\n * Basic getter\n * @param {String} property Property name\n * @return {*} value of a property\n */\n get: function(property) {\n return this[property];\n }\n};\n\n\n(function(global) {\n\n var sqrt = Math.sqrt,\n atan2 = Math.atan2,\n pow = Math.pow,\n PiBy180 = Math.PI / 180,\n PiBy2 = Math.PI / 2;\n\n /**\n * @namespace fabric.util\n */\n fabric.util = {\n\n /**\n * Calculate the cos of an angle, avoiding returning floats for known results\n * @static\n * @memberOf fabric.util\n * @param {Number} angle the angle in radians or in degree\n * @return {Number}\n */\n cos: function(angle) {\n if (angle === 0) { return 1; }\n if (angle < 0) {\n // cos(a) = cos(-a)\n angle = -angle;\n }\n var angleSlice = angle / PiBy2;\n switch (angleSlice) {\n case 1: case 3: return 0;\n case 2: return -1;\n }\n return Math.cos(angle);\n },\n\n /**\n * Calculate the sin of an angle, avoiding returning floats for known results\n * @static\n * @memberOf fabric.util\n * @param {Number} angle the angle in radians or in degree\n * @return {Number}\n */\n sin: function(angle) {\n if (angle === 0) { return 0; }\n var angleSlice = angle / PiBy2, sign = 1;\n if (angle < 0) {\n // sin(-a) = -sin(a)\n sign = -1;\n }\n switch (angleSlice) {\n case 1: return sign;\n case 2: return 0;\n case 3: return -sign;\n }\n return Math.sin(angle);\n },\n\n /**\n * Removes value from an array.\n * Presence of value (and its position in an array) is determined via `Array.prototype.indexOf`\n * @static\n * @memberOf fabric.util\n * @param {Array} array\n * @param {*} value\n * @return {Array} original array\n */\n removeFromArray: function(array, value) {\n var idx = array.indexOf(value);\n if (idx !== -1) {\n array.splice(idx, 1);\n }\n return array;\n },\n\n /**\n * Returns random number between 2 specified ones.\n * @static\n * @memberOf fabric.util\n * @param {Number} min lower limit\n * @param {Number} max upper limit\n * @return {Number} random value (between min and max)\n */\n getRandomInt: function(min, max) {\n return Math.floor(Math.random() * (max - min + 1)) + min;\n },\n\n /**\n * Transforms degrees to radians.\n * @static\n * @memberOf fabric.util\n * @param {Number} degrees value in degrees\n * @return {Number} value in radians\n */\n degreesToRadians: function(degrees) {\n return degrees * PiBy180;\n },\n\n /**\n * Transforms radians to degrees.\n * @static\n * @memberOf fabric.util\n * @param {Number} radians value in radians\n * @return {Number} value in degrees\n */\n radiansToDegrees: function(radians) {\n return radians / PiBy180;\n },\n\n /**\n * Rotates `point` around `origin` with `radians`\n * @static\n * @memberOf fabric.util\n * @param {fabric.Point} point The point to rotate\n * @param {fabric.Point} origin The origin of the rotation\n * @param {Number} radians The radians of the angle for the rotation\n * @return {fabric.Point} The new rotated point\n */\n rotatePoint: function(point, origin, radians) {\n var newPoint = new fabric.Point(point.x - origin.x, point.y - origin.y),\n v = fabric.util.rotateVector(newPoint, radians);\n return new fabric.Point(v.x, v.y).addEquals(origin);\n },\n\n /**\n * Rotates `vector` with `radians`\n * @static\n * @memberOf fabric.util\n * @param {Object} vector The vector to rotate (x and y)\n * @param {Number} radians The radians of the angle for the rotation\n * @return {Object} The new rotated point\n */\n rotateVector: function(vector, radians) {\n var sin = fabric.util.sin(radians),\n cos = fabric.util.cos(radians),\n rx = vector.x * cos - vector.y * sin,\n ry = vector.x * sin + vector.y * cos;\n return {\n x: rx,\n y: ry\n };\n },\n\n /**\n * Creates a vetor from points represented as a point\n * @static\n * @memberOf fabric.util\n *\n * @typedef {Object} Point\n * @property {number} x\n * @property {number} y\n *\n * @param {Point} from\n * @param {Point} to\n * @returns {Point} vector\n */\n createVector: function (from, to) {\n return new fabric.Point(to.x - from.x, to.y - from.y);\n },\n\n /**\n * Calculates angle between 2 vectors using dot product\n * @static\n * @memberOf fabric.util\n * @param {Point} a\n * @param {Point} b\n * @returns the angle in radian between the vectors\n */\n calcAngleBetweenVectors: function (a, b) {\n return Math.acos((a.x * b.x + a.y * b.y) / (Math.hypot(a.x, a.y) * Math.hypot(b.x, b.y)));\n },\n\n /**\n * @static\n * @memberOf fabric.util\n * @param {Point} v\n * @returns {Point} vector representing the unit vector of pointing to the direction of `v`\n */\n getHatVector: function (v) {\n return new fabric.Point(v.x, v.y).multiply(1 / Math.hypot(v.x, v.y));\n },\n\n /**\n * @static\n * @memberOf fabric.util\n * @param {Point} A\n * @param {Point} B\n * @param {Point} C\n * @returns {{ vector: Point, angle: number }} vector representing the bisector of A and A's angle\n */\n getBisector: function (A, B, C) {\n var AB = fabric.util.createVector(A, B), AC = fabric.util.createVector(A, C);\n var alpha = fabric.util.calcAngleBetweenVectors(AB, AC);\n // check if alpha is relative to AB->BC\n var ro = fabric.util.calcAngleBetweenVectors(fabric.util.rotateVector(AB, alpha), AC);\n var phi = alpha * (ro === 0 ? 1 : -1) / 2;\n return {\n vector: fabric.util.getHatVector(fabric.util.rotateVector(AB, phi)),\n angle: alpha\n };\n },\n\n /**\n * Project stroke width on points returning 2 projections for each point as follows:\n * - `miter`: 2 points corresponding to the outer boundary and the inner boundary of stroke.\n * - `bevel`: 2 points corresponding to the bevel boundaries, tangent to the bisector.\n * - `round`: same as `bevel`\n * Used to calculate object's bounding box\n * @static\n * @memberOf fabric.util\n * @param {Point[]} points\n * @param {Object} options\n * @param {number} options.strokeWidth\n * @param {'miter'|'bevel'|'round'} options.strokeLineJoin\n * @param {number} options.strokeMiterLimit https://developer.mozilla.org/en-US/docs/Web/SVG/Attribute/stroke-miterlimit\n * @param {boolean} options.strokeUniform\n * @param {number} options.scaleX\n * @param {number} options.scaleY\n * @param {boolean} [openPath] whether the shape is open or not, affects the calculations of the first and last points\n * @returns {fabric.Point[]} array of size 2n/4n of all suspected points\n */\n projectStrokeOnPoints: function (points, options, openPath) {\n var coords = [], s = options.strokeWidth / 2,\n strokeUniformScalar = options.strokeUniform ?\n new fabric.Point(1 / options.scaleX, 1 / options.scaleY) : new fabric.Point(1, 1),\n getStrokeHatVector = function (v) {\n var scalar = s / (Math.hypot(v.x, v.y));\n return new fabric.Point(v.x * scalar * strokeUniformScalar.x, v.y * scalar * strokeUniformScalar.y);\n };\n if (points.length <= 1) {return coords;}\n points.forEach(function (p, index) {\n var A = new fabric.Point(p.x, p.y), B, C;\n if (index === 0) {\n C = points[index + 1];\n B = openPath ? getStrokeHatVector(fabric.util.createVector(C, A)).addEquals(A) : points[points.length - 1];\n }\n else if (index === points.length - 1) {\n B = points[index - 1];\n C = openPath ? getStrokeHatVector(fabric.util.createVector(B, A)).addEquals(A) : points[0];\n }\n else {\n B = points[index - 1];\n C = points[index + 1];\n }\n var bisector = fabric.util.getBisector(A, B, C),\n bisectorVector = bisector.vector,\n alpha = bisector.angle,\n scalar,\n miterVector;\n if (options.strokeLineJoin === 'miter') {\n scalar = -s / Math.sin(alpha / 2);\n miterVector = new fabric.Point(\n bisectorVector.x * scalar * strokeUniformScalar.x,\n bisectorVector.y * scalar * strokeUniformScalar.y\n );\n if (Math.hypot(miterVector.x, miterVector.y) / s <= options.strokeMiterLimit) {\n coords.push(A.add(miterVector));\n coords.push(A.subtract(miterVector));\n return;\n }\n }\n scalar = -s * Math.SQRT2;\n miterVector = new fabric.Point(\n bisectorVector.x * scalar * strokeUniformScalar.x,\n bisectorVector.y * scalar * strokeUniformScalar.y\n );\n coords.push(A.add(miterVector));\n coords.push(A.subtract(miterVector));\n });\n return coords;\n },\n\n /**\n * Apply transform t to point p\n * @static\n * @memberOf fabric.util\n * @param {fabric.Point} p The point to transform\n * @param {Array} t The transform\n * @param {Boolean} [ignoreOffset] Indicates that the offset should not be applied\n * @return {fabric.Point} The transformed point\n */\n transformPoint: function(p, t, ignoreOffset) {\n if (ignoreOffset) {\n return new fabric.Point(\n t[0] * p.x + t[2] * p.y,\n t[1] * p.x + t[3] * p.y\n );\n }\n return new fabric.Point(\n t[0] * p.x + t[2] * p.y + t[4],\n t[1] * p.x + t[3] * p.y + t[5]\n );\n },\n\n /**\n * Returns coordinates of points's bounding rectangle (left, top, width, height)\n * @param {Array} points 4 points array\n * @param {Array} [transform] an array of 6 numbers representing a 2x3 transform matrix\n * @return {Object} Object with left, top, width, height properties\n */\n makeBoundingBoxFromPoints: function(points, transform) {\n if (transform) {\n for (var i = 0; i < points.length; i++) {\n points[i] = fabric.util.transformPoint(points[i], transform);\n }\n }\n var xPoints = [points[0].x, points[1].x, points[2].x, points[3].x],\n minX = fabric.util.array.min(xPoints),\n maxX = fabric.util.array.max(xPoints),\n width = maxX - minX,\n yPoints = [points[0].y, points[1].y, points[2].y, points[3].y],\n minY = fabric.util.array.min(yPoints),\n maxY = fabric.util.array.max(yPoints),\n height = maxY - minY;\n\n return {\n left: minX,\n top: minY,\n width: width,\n height: height\n };\n },\n\n /**\n * Invert transformation t\n * @static\n * @memberOf fabric.util\n * @param {Array} t The transform\n * @return {Array} The inverted transform\n */\n invertTransform: function(t) {\n var a = 1 / (t[0] * t[3] - t[1] * t[2]),\n r = [a * t[3], -a * t[1], -a * t[2], a * t[0]],\n o = fabric.util.transformPoint({ x: t[4], y: t[5] }, r, true);\n r[4] = -o.x;\n r[5] = -o.y;\n return r;\n },\n\n /**\n * A wrapper around Number#toFixed, which contrary to native method returns number, not string.\n * @static\n * @memberOf fabric.util\n * @param {Number|String} number number to operate on\n * @param {Number} fractionDigits number of fraction digits to \"leave\"\n * @return {Number}\n */\n toFixed: function(number, fractionDigits) {\n return parseFloat(Number(number).toFixed(fractionDigits));\n },\n\n /**\n * Converts from attribute value to pixel value if applicable.\n * Returns converted pixels or original value not converted.\n * @param {Number|String} value number to operate on\n * @param {Number} fontSize\n * @return {Number|String}\n */\n parseUnit: function(value, fontSize) {\n var unit = /\\D{0,2}$/.exec(value),\n number = parseFloat(value);\n if (!fontSize) {\n fontSize = fabric.Text.DEFAULT_SVG_FONT_SIZE;\n }\n switch (unit[0]) {\n case 'mm':\n return number * fabric.DPI / 25.4;\n\n case 'cm':\n return number * fabric.DPI / 2.54;\n\n case 'in':\n return number * fabric.DPI;\n\n case 'pt':\n return number * fabric.DPI / 72; // or * 4 / 3\n\n case 'pc':\n return number * fabric.DPI / 72 * 12; // or * 16\n\n case 'em':\n return number * fontSize;\n\n default:\n return number;\n }\n },\n\n /**\n * Function which always returns `false`.\n * @static\n * @memberOf fabric.util\n * @return {Boolean}\n */\n falseFunction: function() {\n return false;\n },\n\n /**\n * Returns klass \"Class\" object of given namespace\n * @memberOf fabric.util\n * @param {String} type Type of object (eg. 'circle')\n * @param {String} namespace Namespace to get klass \"Class\" object from\n * @return {Object} klass \"Class\"\n */\n getKlass: function(type, namespace) {\n // capitalize first letter only\n type = fabric.util.string.camelize(type.charAt(0).toUpperCase() + type.slice(1));\n return fabric.util.resolveNamespace(namespace)[type];\n },\n\n /**\n * Returns array of attributes for given svg that fabric parses\n * @memberOf fabric.util\n * @param {String} type Type of svg element (eg. 'circle')\n * @return {Array} string names of supported attributes\n */\n getSvgAttributes: function(type) {\n var attributes = [\n 'instantiated_by_use',\n 'style',\n 'id',\n 'class'\n ];\n switch (type) {\n case 'linearGradient':\n attributes = attributes.concat(['x1', 'y1', 'x2', 'y2', 'gradientUnits', 'gradientTransform']);\n break;\n case 'radialGradient':\n attributes = attributes.concat(['gradientUnits', 'gradientTransform', 'cx', 'cy', 'r', 'fx', 'fy', 'fr']);\n break;\n case 'stop':\n attributes = attributes.concat(['offset', 'stop-color', 'stop-opacity']);\n break;\n }\n return attributes;\n },\n\n /**\n * Returns object of given namespace\n * @memberOf fabric.util\n * @param {String} namespace Namespace string e.g. 'fabric.Image.filter' or 'fabric'\n * @return {Object} Object for given namespace (default fabric)\n */\n resolveNamespace: function(namespace) {\n if (!namespace) {\n return fabric;\n }\n\n var parts = namespace.split('.'),\n len = parts.length, i,\n obj = global || fabric.window;\n\n for (i = 0; i < len; ++i) {\n obj = obj[parts[i]];\n }\n\n return obj;\n },\n\n /**\n * Loads image element from given url and passes it to a callback\n * @memberOf fabric.util\n * @param {String} url URL representing an image\n * @param {Function} callback Callback; invoked with loaded image\n * @param {*} [context] Context to invoke callback in\n * @param {Object} [crossOrigin] crossOrigin value to set image element to\n */\n loadImage: function(url, callback, context, crossOrigin) {\n if (!url) {\n callback && callback.call(context, url);\n return;\n }\n\n var img = fabric.util.createImage();\n\n /** @ignore */\n var onLoadCallback = function () {\n callback && callback.call(context, img, false);\n img = img.onload = img.onerror = null;\n };\n\n img.onload = onLoadCallback;\n /** @ignore */\n img.onerror = function() {\n fabric.log('Error loading ' + img.src);\n callback && callback.call(context, null, true);\n img = img.onload = img.onerror = null;\n };\n\n // data-urls appear to be buggy with crossOrigin\n // https://github.com/kangax/fabric.js/commit/d0abb90f1cd5c5ef9d2a94d3fb21a22330da3e0a#commitcomment-4513767\n // see https://code.google.com/p/chromium/issues/detail?id=315152\n // https://bugzilla.mozilla.org/show_bug.cgi?id=935069\n // crossOrigin null is the same as not set.\n if (url.indexOf('data') !== 0 &&\n crossOrigin !== undefined &&\n crossOrigin !== null) {\n img.crossOrigin = crossOrigin;\n }\n\n // IE10 / IE11-Fix: SVG contents from data: URI\n // will only be available if the IMG is present\n // in the DOM (and visible)\n if (url.substring(0,14) === 'data:image/svg') {\n img.onload = null;\n fabric.util.loadImageInDom(img, onLoadCallback);\n }\n\n img.src = url;\n },\n\n /**\n * Attaches SVG image with data: URL to the dom\n * @memberOf fabric.util\n * @param {Object} img Image object with data:image/svg src\n * @param {Function} callback Callback; invoked with loaded image\n * @return {Object} DOM element (div containing the SVG image)\n */\n loadImageInDom: function(img, onLoadCallback) {\n var div = fabric.document.createElement('div');\n div.style.width = div.style.height = '1px';\n div.style.left = div.style.top = '-100%';\n div.style.position = 'absolute';\n div.appendChild(img);\n fabric.document.querySelector('body').appendChild(div);\n /**\n * Wrap in function to:\n * 1. Call existing callback\n * 2. Cleanup DOM\n */\n img.onload = function () {\n onLoadCallback();\n div.parentNode.removeChild(div);\n div = null;\n };\n },\n\n /**\n * Creates corresponding fabric instances from their object representations\n * @static\n * @memberOf fabric.util\n * @param {Array} objects Objects to enliven\n * @param {Function} callback Callback to invoke when all objects are created\n * @param {String} namespace Namespace to get klass \"Class\" object from\n * @param {Function} reviver Method for further parsing of object elements,\n * called after each fabric object created.\n */\n enlivenObjects: function(objects, callback, namespace, reviver) {\n objects = objects || [];\n\n var enlivenedObjects = [],\n numLoadedObjects = 0,\n numTotalObjects = objects.length;\n\n function onLoaded() {\n if (++numLoadedObjects === numTotalObjects) {\n callback && callback(enlivenedObjects.filter(function(obj) {\n // filter out undefined objects (objects that gave error)\n return obj;\n }));\n }\n }\n\n if (!numTotalObjects) {\n callback && callback(enlivenedObjects);\n return;\n }\n\n objects.forEach(function (o, index) {\n // if sparse array\n if (!o || !o.type) {\n onLoaded();\n return;\n }\n var klass = fabric.util.getKlass(o.type, namespace);\n klass.fromObject(o, function (obj, error) {\n error || (enlivenedObjects[index] = obj);\n reviver && reviver(o, obj, error);\n onLoaded();\n });\n });\n },\n\n /**\n * Creates corresponding fabric instances residing in an object, e.g. `clipPath`\n * @see {@link fabric.Object.ENLIVEN_PROPS}\n * @param {Object} object\n * @param {Object} [context] assign enlived props to this object (pass null to skip this)\n * @param {(objects:fabric.Object[]) => void} callback\n */\n enlivenObjectEnlivables: function (object, context, callback) {\n var enlivenProps = fabric.Object.ENLIVEN_PROPS.filter(function (key) { return !!object[key]; });\n fabric.util.enlivenObjects(enlivenProps.map(function (key) { return object[key]; }), function (enlivedProps) {\n var objects = {};\n enlivenProps.forEach(function (key, index) {\n objects[key] = enlivedProps[index];\n context && (context[key] = enlivedProps[index]);\n });\n callback && callback(objects);\n });\n },\n\n /**\n * Create and wait for loading of patterns\n * @static\n * @memberOf fabric.util\n * @param {Array} patterns Objects to enliven\n * @param {Function} callback Callback to invoke when all objects are created\n * called after each fabric object created.\n */\n enlivenPatterns: function(patterns, callback) {\n patterns = patterns || [];\n\n function onLoaded() {\n if (++numLoadedPatterns === numPatterns) {\n callback && callback(enlivenedPatterns);\n }\n }\n\n var enlivenedPatterns = [],\n numLoadedPatterns = 0,\n numPatterns = patterns.length;\n\n if (!numPatterns) {\n callback && callback(enlivenedPatterns);\n return;\n }\n\n patterns.forEach(function (p, index) {\n if (p && p.source) {\n new fabric.Pattern(p, function(pattern) {\n enlivenedPatterns[index] = pattern;\n onLoaded();\n });\n }\n else {\n enlivenedPatterns[index] = p;\n onLoaded();\n }\n });\n },\n\n /**\n * Groups SVG elements (usually those retrieved from SVG document)\n * @static\n * @memberOf fabric.util\n * @param {Array} elements SVG elements to group\n * @param {Object} [options] Options object\n * @param {String} path Value to set sourcePath to\n * @return {fabric.Object|fabric.Group}\n */\n groupSVGElements: function(elements, options, path) {\n var object;\n if (elements && elements.length === 1) {\n if (typeof path !== 'undefined') {\n elements[0].sourcePath = path;\n }\n return elements[0];\n }\n if (options) {\n if (options.width && options.height) {\n options.centerPoint = {\n x: options.width / 2,\n y: options.height / 2\n };\n }\n else {\n delete options.width;\n delete options.height;\n }\n }\n object = new fabric.Group(elements, options);\n if (typeof path !== 'undefined') {\n object.sourcePath = path;\n }\n return object;\n },\n\n /**\n * Populates an object with properties of another object\n * @static\n * @memberOf fabric.util\n * @param {Object} source Source object\n * @param {Object} destination Destination object\n * @return {Array} properties Properties names to include\n */\n populateWithProperties: function(source, destination, properties) {\n if (properties && Array.isArray(properties)) {\n for (var i = 0, len = properties.length; i < len; i++) {\n if (properties[i] in source) {\n destination[properties[i]] = source[properties[i]];\n }\n }\n }\n },\n\n /**\n * Creates canvas element\n * @static\n * @memberOf fabric.util\n * @return {CanvasElement} initialized canvas element\n */\n createCanvasElement: function() {\n return fabric.document.createElement('canvas');\n },\n\n /**\n * Creates a canvas element that is a copy of another and is also painted\n * @param {CanvasElement} canvas to copy size and content of\n * @static\n * @memberOf fabric.util\n * @return {CanvasElement} initialized canvas element\n */\n copyCanvasElement: function(canvas) {\n var newCanvas = fabric.util.createCanvasElement();\n newCanvas.width = canvas.width;\n newCanvas.height = canvas.height;\n newCanvas.getContext('2d').drawImage(canvas, 0, 0);\n return newCanvas;\n },\n\n /**\n * since 2.6.0 moved from canvas instance to utility.\n * @param {CanvasElement} canvasEl to copy size and content of\n * @param {String} format 'jpeg' or 'png', in some browsers 'webp' is ok too\n * @param {Number} quality <= 1 and > 0\n * @static\n * @memberOf fabric.util\n * @return {String} data url\n */\n toDataURL: function(canvasEl, format, quality) {\n return canvasEl.toDataURL('image/' + format, quality);\n },\n\n /**\n * Creates image element (works on client and node)\n * @static\n * @memberOf fabric.util\n * @return {HTMLImageElement} HTML image element\n */\n createImage: function() {\n return fabric.document.createElement('img');\n },\n\n /**\n * Multiply matrix A by matrix B to nest transformations\n * @static\n * @memberOf fabric.util\n * @param {Array} a First transformMatrix\n * @param {Array} b Second transformMatrix\n * @param {Boolean} is2x2 flag to multiply matrices as 2x2 matrices\n * @return {Array} The product of the two transform matrices\n */\n multiplyTransformMatrices: function(a, b, is2x2) {\n // Matrix multiply a * b\n return [\n a[0] * b[0] + a[2] * b[1],\n a[1] * b[0] + a[3] * b[1],\n a[0] * b[2] + a[2] * b[3],\n a[1] * b[2] + a[3] * b[3],\n is2x2 ? 0 : a[0] * b[4] + a[2] * b[5] + a[4],\n is2x2 ? 0 : a[1] * b[4] + a[3] * b[5] + a[5]\n ];\n },\n\n /**\n * Decomposes standard 2x3 matrix into transform components\n * @static\n * @memberOf fabric.util\n * @param {Array} a transformMatrix\n * @return {Object} Components of transform\n */\n qrDecompose: function(a) {\n var angle = atan2(a[1], a[0]),\n denom = pow(a[0], 2) + pow(a[1], 2),\n scaleX = sqrt(denom),\n scaleY = (a[0] * a[3] - a[2] * a[1]) / scaleX,\n skewX = atan2(a[0] * a[2] + a[1] * a [3], denom);\n return {\n angle: angle / PiBy180,\n scaleX: scaleX,\n scaleY: scaleY,\n skewX: skewX / PiBy180,\n skewY: 0,\n translateX: a[4],\n translateY: a[5]\n };\n },\n\n /**\n * Returns a transform matrix starting from an object of the same kind of\n * the one returned from qrDecompose, useful also if you want to calculate some\n * transformations from an object that is not enlived yet\n * @static\n * @memberOf fabric.util\n * @param {Object} options\n * @param {Number} [options.angle] angle in degrees\n * @return {Number[]} transform matrix\n */\n calcRotateMatrix: function(options) {\n if (!options.angle) {\n return fabric.iMatrix.concat();\n }\n var theta = fabric.util.degreesToRadians(options.angle),\n cos = fabric.util.cos(theta),\n sin = fabric.util.sin(theta);\n return [cos, sin, -sin, cos, 0, 0];\n },\n\n /**\n * Returns a transform matrix starting from an object of the same kind of\n * the one returned from qrDecompose, useful also if you want to calculate some\n * transformations from an object that is not enlived yet.\n * is called DimensionsTransformMatrix because those properties are the one that influence\n * the size of the resulting box of the object.\n * @static\n * @memberOf fabric.util\n * @param {Object} options\n * @param {Number} [options.scaleX]\n * @param {Number} [options.scaleY]\n * @param {Boolean} [options.flipX]\n * @param {Boolean} [options.flipY]\n * @param {Number} [options.skewX]\n * @param {Number} [options.skewY]\n * @return {Number[]} transform matrix\n */\n calcDimensionsMatrix: function(options) {\n var scaleX = typeof options.scaleX === 'undefined' ? 1 : options.scaleX,\n scaleY = typeof options.scaleY === 'undefined' ? 1 : options.scaleY,\n scaleMatrix = [\n options.flipX ? -scaleX : scaleX,\n 0,\n 0,\n options.flipY ? -scaleY : scaleY,\n 0,\n 0],\n multiply = fabric.util.multiplyTransformMatrices,\n degreesToRadians = fabric.util.degreesToRadians;\n if (options.skewX) {\n scaleMatrix = multiply(\n scaleMatrix,\n [1, 0, Math.tan(degreesToRadians(options.skewX)), 1],\n true);\n }\n if (options.skewY) {\n scaleMatrix = multiply(\n scaleMatrix,\n [1, Math.tan(degreesToRadians(options.skewY)), 0, 1],\n true);\n }\n return scaleMatrix;\n },\n\n /**\n * Returns a transform matrix starting from an object of the same kind of\n * the one returned from qrDecompose, useful also if you want to calculate some\n * transformations from an object that is not enlived yet\n * @static\n * @memberOf fabric.util\n * @param {Object} options\n * @param {Number} [options.angle]\n * @param {Number} [options.scaleX]\n * @param {Number} [options.scaleY]\n * @param {Boolean} [options.flipX]\n * @param {Boolean} [options.flipY]\n * @param {Number} [options.skewX]\n * @param {Number} [options.skewX]\n * @param {Number} [options.translateX]\n * @param {Number} [options.translateY]\n * @return {Number[]} transform matrix\n */\n composeMatrix: function(options) {\n var matrix = [1, 0, 0, 1, options.translateX || 0, options.translateY || 0],\n multiply = fabric.util.multiplyTransformMatrices;\n if (options.angle) {\n matrix = multiply(matrix, fabric.util.calcRotateMatrix(options));\n }\n if (options.scaleX !== 1 || options.scaleY !== 1 ||\n options.skewX || options.skewY || options.flipX || options.flipY) {\n matrix = multiply(matrix, fabric.util.calcDimensionsMatrix(options));\n }\n return matrix;\n },\n\n /**\n * reset an object transform state to neutral. Top and left are not accounted for\n * @static\n * @memberOf fabric.util\n * @param {fabric.Object} target object to transform\n */\n resetObjectTransform: function (target) {\n target.scaleX = 1;\n target.scaleY = 1;\n target.skewX = 0;\n target.skewY = 0;\n target.flipX = false;\n target.flipY = false;\n target.rotate(0);\n },\n\n /**\n * Extract Object transform values\n * @static\n * @memberOf fabric.util\n * @param {fabric.Object} target object to read from\n * @return {Object} Components of transform\n */\n saveObjectTransform: function (target) {\n return {\n scaleX: target.scaleX,\n scaleY: target.scaleY,\n skewX: target.skewX,\n skewY: target.skewY,\n angle: target.angle,\n left: target.left,\n flipX: target.flipX,\n flipY: target.flipY,\n top: target.top\n };\n },\n\n /**\n * Returns true if context has transparent pixel\n * at specified location (taking tolerance into account)\n * @param {CanvasRenderingContext2D} ctx context\n * @param {Number} x x coordinate\n * @param {Number} y y coordinate\n * @param {Number} tolerance Tolerance\n */\n isTransparent: function(ctx, x, y, tolerance) {\n\n // If tolerance is > 0 adjust start coords to take into account.\n // If moves off Canvas fix to 0\n if (tolerance > 0) {\n if (x > tolerance) {\n x -= tolerance;\n }\n else {\n x = 0;\n }\n if (y > tolerance) {\n y -= tolerance;\n }\n else {\n y = 0;\n }\n }\n\n var _isTransparent = true, i, temp,\n imageData = ctx.getImageData(x, y, (tolerance * 2) || 1, (tolerance * 2) || 1),\n l = imageData.data.length;\n\n // Split image data - for tolerance > 1, pixelDataSize = 4;\n for (i = 3; i < l; i += 4) {\n temp = imageData.data[i];\n _isTransparent = temp <= 0;\n if (_isTransparent === false) {\n break; // Stop if colour found\n }\n }\n\n imageData = null;\n\n return _isTransparent;\n },\n\n /**\n * Parse preserveAspectRatio attribute from element\n * @param {string} attribute to be parsed\n * @return {Object} an object containing align and meetOrSlice attribute\n */\n parsePreserveAspectRatioAttribute: function(attribute) {\n var meetOrSlice = 'meet', alignX = 'Mid', alignY = 'Mid',\n aspectRatioAttrs = attribute.split(' '), align;\n\n if (aspectRatioAttrs && aspectRatioAttrs.length) {\n meetOrSlice = aspectRatioAttrs.pop();\n if (meetOrSlice !== 'meet' && meetOrSlice !== 'slice') {\n align = meetOrSlice;\n meetOrSlice = 'meet';\n }\n else if (aspectRatioAttrs.length) {\n align = aspectRatioAttrs.pop();\n }\n }\n //divide align in alignX and alignY\n alignX = align !== 'none' ? align.slice(1, 4) : 'none';\n alignY = align !== 'none' ? align.slice(5, 8) : 'none';\n return {\n meetOrSlice: meetOrSlice,\n alignX: alignX,\n alignY: alignY\n };\n },\n\n /**\n * Clear char widths cache for the given font family or all the cache if no\n * fontFamily is specified.\n * Use it if you know you are loading fonts in a lazy way and you are not waiting\n * for custom fonts to load properly when adding text objects to the canvas.\n * If a text object is added when its own font is not loaded yet, you will get wrong\n * measurement and so wrong bounding boxes.\n * After the font cache is cleared, either change the textObject text content or call\n * initDimensions() to trigger a recalculation\n * @memberOf fabric.util\n * @param {String} [fontFamily] font family to clear\n */\n clearFabricFontCache: function(fontFamily) {\n fontFamily = (fontFamily || '').toLowerCase();\n if (!fontFamily) {\n fabric.charWidthsCache = { };\n }\n else if (fabric.charWidthsCache[fontFamily]) {\n delete fabric.charWidthsCache[fontFamily];\n }\n },\n\n /**\n * Given current aspect ratio, determines the max width and height that can\n * respect the total allowed area for the cache.\n * @memberOf fabric.util\n * @param {Number} ar aspect ratio\n * @param {Number} maximumArea Maximum area you want to achieve\n * @return {Object.x} Limited dimensions by X\n * @return {Object.y} Limited dimensions by Y\n */\n limitDimsByArea: function(ar, maximumArea) {\n var roughWidth = Math.sqrt(maximumArea * ar),\n perfLimitSizeY = Math.floor(maximumArea / roughWidth);\n return { x: Math.floor(roughWidth), y: perfLimitSizeY };\n },\n\n capValue: function(min, value, max) {\n return Math.max(min, Math.min(value, max));\n },\n\n /**\n * Finds the scale for the object source to fit inside the object destination,\n * keeping aspect ratio intact.\n * respect the total allowed area for the cache.\n * @memberOf fabric.util\n * @param {Object | fabric.Object} source\n * @param {Number} source.height natural unscaled height of the object\n * @param {Number} source.width natural unscaled width of the object\n * @param {Object | fabric.Object} destination\n * @param {Number} destination.height natural unscaled height of the object\n * @param {Number} destination.width natural unscaled width of the object\n * @return {Number} scale factor to apply to source to fit into destination\n */\n findScaleToFit: function(source, destination) {\n return Math.min(destination.width / source.width, destination.height / source.height);\n },\n\n /**\n * Finds the scale for the object source to cover entirely the object destination,\n * keeping aspect ratio intact.\n * respect the total allowed area for the cache.\n * @memberOf fabric.util\n * @param {Object | fabric.Object} source\n * @param {Number} source.height natural unscaled height of the object\n * @param {Number} source.width natural unscaled width of the object\n * @param {Object | fabric.Object} destination\n * @param {Number} destination.height natural unscaled height of the object\n * @param {Number} destination.width natural unscaled width of the object\n * @return {Number} scale factor to apply to source to cover destination\n */\n findScaleToCover: function(source, destination) {\n return Math.max(destination.width / source.width, destination.height / source.height);\n },\n\n /**\n * given an array of 6 number returns something like `\"matrix(...numbers)\"`\n * @memberOf fabric.util\n * @param {Array} transform an array with 6 numbers\n * @return {String} transform matrix for svg\n * @return {Object.y} Limited dimensions by Y\n */\n matrixToSVG: function(transform) {\n return 'matrix(' + transform.map(function(value) {\n return fabric.util.toFixed(value, fabric.Object.NUM_FRACTION_DIGITS);\n }).join(' ') + ')';\n },\n\n /**\n * given an object and a transform, apply the inverse transform to the object,\n * this is equivalent to remove from that object that transformation, so that\n * added in a space with the removed transform, the object will be the same as before.\n * Removing from an object a transform that scale by 2 is like scaling it by 1/2.\n * Removing from an object a transfrom that rotate by 30deg is like rotating by 30deg\n * in the opposite direction.\n * This util is used to add objects inside transformed groups or nested groups.\n * @memberOf fabric.util\n * @param {fabric.Object} object the object you want to transform\n * @param {Array} transform the destination transform\n */\n removeTransformFromObject: function(object, transform) {\n var inverted = fabric.util.invertTransform(transform),\n finalTransform = fabric.util.multiplyTransformMatrices(inverted, object.calcOwnMatrix());\n fabric.util.applyTransformToObject(object, finalTransform);\n },\n\n /**\n * given an object and a transform, apply the transform to the object.\n * this is equivalent to change the space where the object is drawn.\n * Adding to an object a transform that scale by 2 is like scaling it by 2.\n * This is used when removing an object from an active selection for example.\n * @memberOf fabric.util\n * @param {fabric.Object} object the object you want to transform\n * @param {Array} transform the destination transform\n */\n addTransformToObject: function(object, transform) {\n fabric.util.applyTransformToObject(\n object,\n fabric.util.multiplyTransformMatrices(transform, object.calcOwnMatrix())\n );\n },\n\n /**\n * discard an object transform state and apply the one from the matrix.\n * @memberOf fabric.util\n * @param {fabric.Object} object the object you want to transform\n * @param {Array} transform the destination transform\n */\n applyTransformToObject: function(object, transform) {\n var options = fabric.util.qrDecompose(transform),\n center = new fabric.Point(options.translateX, options.translateY);\n object.flipX = false;\n object.flipY = false;\n object.set('scaleX', options.scaleX);\n object.set('scaleY', options.scaleY);\n object.skewX = options.skewX;\n object.skewY = options.skewY;\n object.angle = options.angle;\n object.setPositionByOrigin(center, 'center', 'center');\n },\n\n /**\n * given a width and height, return the size of the bounding box\n * that can contains the box with width/height with applied transform\n * described in options.\n * Use to calculate the boxes around objects for controls.\n * @memberOf fabric.util\n * @param {Number} width\n * @param {Number} height\n * @param {Object} options\n * @param {Number} options.scaleX\n * @param {Number} options.scaleY\n * @param {Number} options.skewX\n * @param {Number} options.skewY\n * @return {Object.x} width of containing\n * @return {Object.y} height of containing\n */\n sizeAfterTransform: function(width, height, options) {\n var dimX = width / 2, dimY = height / 2,\n points = [\n {\n x: -dimX,\n y: -dimY\n },\n {\n x: dimX,\n y: -dimY\n },\n {\n x: -dimX,\n y: dimY\n },\n {\n x: dimX,\n y: dimY\n }],\n transformMatrix = fabric.util.calcDimensionsMatrix(options),\n bbox = fabric.util.makeBoundingBoxFromPoints(points, transformMatrix);\n return {\n x: bbox.width,\n y: bbox.height,\n };\n },\n\n /**\n * Merges 2 clip paths into one visually equal clip path\n *\n * **IMPORTANT**:\\\n * Does **NOT** clone the arguments, clone them proir if necessary.\n *\n * Creates a wrapper (group) that contains one clip path and is clipped by the other so content is kept where both overlap.\n * Use this method if both the clip paths may have nested clip paths of their own, so assigning one to the other's clip path property is not possible.\n *\n * In order to handle the `inverted` property we follow logic described in the following cases:\\\n * **(1)** both clip paths are inverted - the clip paths pass the inverted prop to the wrapper and loose it themselves.\\\n * **(2)** one is inverted and the other isn't - the wrapper shouldn't become inverted and the inverted clip path must clip the non inverted one to produce an identical visual effect.\\\n * **(3)** both clip paths are not inverted - wrapper and clip paths remain unchanged.\n *\n * @memberOf fabric.util\n * @param {fabric.Object} c1\n * @param {fabric.Object} c2\n * @returns {fabric.Object} merged clip path\n */\n mergeClipPaths: function (c1, c2) {\n var a = c1, b = c2;\n if (a.inverted && !b.inverted) {\n // case (2)\n a = c2;\n b = c1;\n }\n // `b` becomes `a`'s clip path so we transform `b` to `a` coordinate plane\n fabric.util.applyTransformToObject(\n b,\n fabric.util.multiplyTransformMatrices(\n fabric.util.invertTransform(a.calcTransformMatrix()),\n b.calcTransformMatrix()\n )\n );\n // assign the `inverted` prop to the wrapping group\n var inverted = a.inverted && b.inverted;\n if (inverted) {\n // case (1)\n a.inverted = b.inverted = false;\n }\n return new fabric.Group([a], { clipPath: b, inverted: inverted });\n },\n\n /**\n * @memberOf fabric.util\n * @param {Object} prevStyle first style to compare\n * @param {Object} thisStyle second style to compare\n * @param {boolean} forTextSpans whether to check overline, underline, and line-through properties\n * @return {boolean} true if the style changed\n */\n hasStyleChanged: function(prevStyle, thisStyle, forTextSpans) {\n forTextSpans = forTextSpans || false;\n return (prevStyle.fill !== thisStyle.fill ||\n prevStyle.stroke !== thisStyle.stroke ||\n prevStyle.strokeWidth !== thisStyle.strokeWidth ||\n prevStyle.fontSize !== thisStyle.fontSize ||\n prevStyle.fontFamily !== thisStyle.fontFamily ||\n prevStyle.fontWeight !== thisStyle.fontWeight ||\n prevStyle.fontStyle !== thisStyle.fontStyle ||\n prevStyle.textBackgroundColor !== thisStyle.textBackgroundColor ||\n prevStyle.deltaY !== thisStyle.deltaY) ||\n (forTextSpans &&\n (prevStyle.overline !== thisStyle.overline ||\n prevStyle.underline !== thisStyle.underline ||\n prevStyle.linethrough !== thisStyle.linethrough));\n },\n\n /**\n * Returns the array form of a text object's inline styles property with styles grouped in ranges\n * rather than per character. This format is less verbose, and is better suited for storage\n * so it is used in serialization (not during runtime).\n * @memberOf fabric.util\n * @param {object} styles per character styles for a text object\n * @param {String} text the text string that the styles are applied to\n * @return {{start: number, end: number, style: object}[]}\n */\n stylesToArray: function(styles, text) {\n // clone style structure to prevent mutation\n var styles = fabric.util.object.clone(styles, true),\n textLines = text.split('\\n'),\n charIndex = -1, prevStyle = {}, stylesArray = [];\n //loop through each textLine\n for (var i = 0; i < textLines.length; i++) {\n if (!styles[i]) {\n //no styles exist for this line, so add the line's length to the charIndex total\n charIndex += textLines[i].length;\n continue;\n }\n //loop through each character of the current line\n for (var c = 0; c < textLines[i].length; c++) {\n charIndex++;\n var thisStyle = styles[i][c];\n //check if style exists for this character\n if (thisStyle && Object.keys(thisStyle).length > 0) {\n var styleChanged = fabric.util.hasStyleChanged(prevStyle, thisStyle, true);\n if (styleChanged) {\n stylesArray.push({\n start: charIndex,\n end: charIndex + 1,\n style: thisStyle\n });\n }\n else {\n //if style is the same as previous character, increase end index\n stylesArray[stylesArray.length - 1].end++;\n }\n }\n prevStyle = thisStyle || {};\n }\n }\n return stylesArray;\n },\n\n /**\n * Returns the object form of the styles property with styles that are assigned per\n * character rather than grouped by range. This format is more verbose, and is\n * only used during runtime (not for serialization/storage)\n * @memberOf fabric.util\n * @param {Array} styles the serialized form of a text object's styles\n * @param {String} text the text string that the styles are applied to\n * @return {Object}\n */\n stylesFromArray: function(styles, text) {\n if (!Array.isArray(styles)) {\n return styles;\n }\n var textLines = text.split('\\n'),\n charIndex = -1, styleIndex = 0, stylesObject = {};\n //loop through each textLine\n for (var i = 0; i < textLines.length; i++) {\n //loop through each character of the current line\n for (var c = 0; c < textLines[i].length; c++) {\n charIndex++;\n //check if there's a style collection that includes the current character\n if (styles[styleIndex]\n && styles[styleIndex].start <= charIndex\n && charIndex < styles[styleIndex].end) {\n //create object for line index if it doesn't exist\n stylesObject[i] = stylesObject[i] || {};\n //assign a style at this character's index\n stylesObject[i][c] = Object.assign({}, styles[styleIndex].style);\n //if character is at the end of the current style collection, move to the next\n if (charIndex === styles[styleIndex].end - 1) {\n styleIndex++;\n }\n }\n }\n }\n return stylesObject;\n }\n };\n})(typeof exports !== 'undefined' ? exports : this);\n\n\n(function() {\n var _join = Array.prototype.join,\n commandLengths = {\n m: 2,\n l: 2,\n h: 1,\n v: 1,\n c: 6,\n s: 4,\n q: 4,\n t: 2,\n a: 7\n },\n repeatedCommands = {\n m: 'l',\n M: 'L'\n };\n function segmentToBezier(th2, th3, cosTh, sinTh, rx, ry, cx1, cy1, mT, fromX, fromY) {\n var costh2 = fabric.util.cos(th2),\n sinth2 = fabric.util.sin(th2),\n costh3 = fabric.util.cos(th3),\n sinth3 = fabric.util.sin(th3),\n toX = cosTh * rx * costh3 - sinTh * ry * sinth3 + cx1,\n toY = sinTh * rx * costh3 + cosTh * ry * sinth3 + cy1,\n cp1X = fromX + mT * ( -cosTh * rx * sinth2 - sinTh * ry * costh2),\n cp1Y = fromY + mT * ( -sinTh * rx * sinth2 + cosTh * ry * costh2),\n cp2X = toX + mT * ( cosTh * rx * sinth3 + sinTh * ry * costh3),\n cp2Y = toY + mT * ( sinTh * rx * sinth3 - cosTh * ry * costh3);\n\n return ['C',\n cp1X, cp1Y,\n cp2X, cp2Y,\n toX, toY\n ];\n }\n\n /* Adapted from http://dxr.mozilla.org/mozilla-central/source/content/svg/content/src/nsSVGPathDataParser.cpp\n * by Andrea Bogazzi code is under MPL. if you don't have a copy of the license you can take it here\n * http://mozilla.org/MPL/2.0/\n */\n function arcToSegments(toX, toY, rx, ry, large, sweep, rotateX) {\n var PI = Math.PI, th = rotateX * PI / 180,\n sinTh = fabric.util.sin(th),\n cosTh = fabric.util.cos(th),\n fromX = 0, fromY = 0;\n\n rx = Math.abs(rx);\n ry = Math.abs(ry);\n\n var px = -cosTh * toX * 0.5 - sinTh * toY * 0.5,\n py = -cosTh * toY * 0.5 + sinTh * toX * 0.5,\n rx2 = rx * rx, ry2 = ry * ry, py2 = py * py, px2 = px * px,\n pl = rx2 * ry2 - rx2 * py2 - ry2 * px2,\n root = 0;\n\n if (pl < 0) {\n var s = Math.sqrt(1 - pl / (rx2 * ry2));\n rx *= s;\n ry *= s;\n }\n else {\n root = (large === sweep ? -1.0 : 1.0) *\n Math.sqrt( pl / (rx2 * py2 + ry2 * px2));\n }\n\n var cx = root * rx * py / ry,\n cy = -root * ry * px / rx,\n cx1 = cosTh * cx - sinTh * cy + toX * 0.5,\n cy1 = sinTh * cx + cosTh * cy + toY * 0.5,\n mTheta = calcVectorAngle(1, 0, (px - cx) / rx, (py - cy) / ry),\n dtheta = calcVectorAngle((px - cx) / rx, (py - cy) / ry, (-px - cx) / rx, (-py - cy) / ry);\n\n if (sweep === 0 && dtheta > 0) {\n dtheta -= 2 * PI;\n }\n else if (sweep === 1 && dtheta < 0) {\n dtheta += 2 * PI;\n }\n\n // Convert into cubic bezier segments <= 90deg\n var segments = Math.ceil(Math.abs(dtheta / PI * 2)),\n result = [], mDelta = dtheta / segments,\n mT = 8 / 3 * Math.sin(mDelta / 4) * Math.sin(mDelta / 4) / Math.sin(mDelta / 2),\n th3 = mTheta + mDelta;\n\n for (var i = 0; i < segments; i++) {\n result[i] = segmentToBezier(mTheta, th3, cosTh, sinTh, rx, ry, cx1, cy1, mT, fromX, fromY);\n fromX = result[i][5];\n fromY = result[i][6];\n mTheta = th3;\n th3 += mDelta;\n }\n return result;\n }\n\n /*\n * Private\n */\n function calcVectorAngle(ux, uy, vx, vy) {\n var ta = Math.atan2(uy, ux),\n tb = Math.atan2(vy, vx);\n if (tb >= ta) {\n return tb - ta;\n }\n else {\n return 2 * Math.PI - (ta - tb);\n }\n }\n\n /**\n * Calculate bounding box of a beziercurve\n * @param {Number} x0 starting point\n * @param {Number} y0\n * @param {Number} x1 first control point\n * @param {Number} y1\n * @param {Number} x2 secondo control point\n * @param {Number} y2\n * @param {Number} x3 end of bezier\n * @param {Number} y3\n */\n // taken from http://jsbin.com/ivomiq/56/edit no credits available for that.\n // TODO: can we normalize this with the starting points set at 0 and then translated the bbox?\n function getBoundsOfCurve(x0, y0, x1, y1, x2, y2, x3, y3) {\n var argsString;\n if (fabric.cachesBoundsOfCurve) {\n argsString = _join.call(arguments);\n if (fabric.boundsOfCurveCache[argsString]) {\n return fabric.boundsOfCurveCache[argsString];\n }\n }\n\n var sqrt = Math.sqrt,\n min = Math.min, max = Math.max,\n abs = Math.abs, tvalues = [],\n bounds = [[], []],\n a, b, c, t, t1, t2, b2ac, sqrtb2ac;\n\n b = 6 * x0 - 12 * x1 + 6 * x2;\n a = -3 * x0 + 9 * x1 - 9 * x2 + 3 * x3;\n c = 3 * x1 - 3 * x0;\n\n for (var i = 0; i < 2; ++i) {\n if (i > 0) {\n b = 6 * y0 - 12 * y1 + 6 * y2;\n a = -3 * y0 + 9 * y1 - 9 * y2 + 3 * y3;\n c = 3 * y1 - 3 * y0;\n }\n\n if (abs(a) < 1e-12) {\n if (abs(b) < 1e-12) {\n continue;\n }\n t = -c / b;\n if (0 < t && t < 1) {\n tvalues.push(t);\n }\n continue;\n }\n b2ac = b * b - 4 * c * a;\n if (b2ac < 0) {\n continue;\n }\n sqrtb2ac = sqrt(b2ac);\n t1 = (-b + sqrtb2ac) / (2 * a);\n if (0 < t1 && t1 < 1) {\n tvalues.push(t1);\n }\n t2 = (-b - sqrtb2ac) / (2 * a);\n if (0 < t2 && t2 < 1) {\n tvalues.push(t2);\n }\n }\n\n var x, y, j = tvalues.length, jlen = j, mt;\n while (j--) {\n t = tvalues[j];\n mt = 1 - t;\n x = (mt * mt * mt * x0) + (3 * mt * mt * t * x1) + (3 * mt * t * t * x2) + (t * t * t * x3);\n bounds[0][j] = x;\n\n y = (mt * mt * mt * y0) + (3 * mt * mt * t * y1) + (3 * mt * t * t * y2) + (t * t * t * y3);\n bounds[1][j] = y;\n }\n\n bounds[0][jlen] = x0;\n bounds[1][jlen] = y0;\n bounds[0][jlen + 1] = x3;\n bounds[1][jlen + 1] = y3;\n var result = [\n {\n x: min.apply(null, bounds[0]),\n y: min.apply(null, bounds[1])\n },\n {\n x: max.apply(null, bounds[0]),\n y: max.apply(null, bounds[1])\n }\n ];\n if (fabric.cachesBoundsOfCurve) {\n fabric.boundsOfCurveCache[argsString] = result;\n }\n return result;\n }\n\n /**\n * Converts arc to a bunch of bezier curves\n * @param {Number} fx starting point x\n * @param {Number} fy starting point y\n * @param {Array} coords Arc command\n */\n function fromArcToBeziers(fx, fy, coords) {\n var rx = coords[1],\n ry = coords[2],\n rot = coords[3],\n large = coords[4],\n sweep = coords[5],\n tx = coords[6],\n ty = coords[7],\n segsNorm = arcToSegments(tx - fx, ty - fy, rx, ry, large, sweep, rot);\n\n for (var i = 0, len = segsNorm.length; i < len; i++) {\n segsNorm[i][1] += fx;\n segsNorm[i][2] += fy;\n segsNorm[i][3] += fx;\n segsNorm[i][4] += fy;\n segsNorm[i][5] += fx;\n segsNorm[i][6] += fy;\n }\n return segsNorm;\n };\n\n /**\n * This function take a parsed SVG path and make it simpler for fabricJS logic.\n * simplification consist of: only UPPERCASE absolute commands ( relative converted to absolute )\n * S converted in C, T converted in Q, A converted in C.\n * @param {Array} path the array of commands of a parsed svg path for fabric.Path\n * @return {Array} the simplified array of commands of a parsed svg path for fabric.Path\n */\n function makePathSimpler(path) {\n // x and y represent the last point of the path. the previous command point.\n // we add them to each relative command to make it an absolute comment.\n // we also swap the v V h H with L, because are easier to transform.\n var x = 0, y = 0, len = path.length,\n // x1 and y1 represent the last point of the subpath. the subpath is started with\n // m or M command. When a z or Z command is drawn, x and y need to be resetted to\n // the last x1 and y1.\n x1 = 0, y1 = 0, current, i, converted,\n // previous will host the letter of the previous command, to handle S and T.\n // controlX and controlY will host the previous reflected control point\n destinationPath = [], previous, controlX, controlY;\n for (i = 0; i < len; ++i) {\n converted = false;\n current = path[i].slice(0);\n switch (current[0]) { // first letter\n case 'l': // lineto, relative\n current[0] = 'L';\n current[1] += x;\n current[2] += y;\n // falls through\n case 'L':\n x = current[1];\n y = current[2];\n break;\n case 'h': // horizontal lineto, relative\n current[1] += x;\n // falls through\n case 'H':\n current[0] = 'L';\n current[2] = y;\n x = current[1];\n break;\n case 'v': // vertical lineto, relative\n current[1] += y;\n // falls through\n case 'V':\n current[0] = 'L';\n y = current[1];\n current[1] = x;\n current[2] = y;\n break;\n case 'm': // moveTo, relative\n current[0] = 'M';\n current[1] += x;\n current[2] += y;\n // falls through\n case 'M':\n x = current[1];\n y = current[2];\n x1 = current[1];\n y1 = current[2];\n break;\n case 'c': // bezierCurveTo, relative\n current[0] = 'C';\n current[1] += x;\n current[2] += y;\n current[3] += x;\n current[4] += y;\n current[5] += x;\n current[6] += y;\n // falls through\n case 'C':\n controlX = current[3];\n controlY = current[4];\n x = current[5];\n y = current[6];\n break;\n case 's': // shorthand cubic bezierCurveTo, relative\n current[0] = 'S';\n current[1] += x;\n current[2] += y;\n current[3] += x;\n current[4] += y;\n // falls through\n case 'S':\n // would be sScC but since we are swapping sSc for C, we check just that.\n if (previous === 'C') {\n // calculate reflection of previous control points\n controlX = 2 * x - controlX;\n controlY = 2 * y - controlY;\n }\n else {\n // If there is no previous command or if the previous command was not a C, c, S, or s,\n // the control point is coincident with the current point\n controlX = x;\n controlY = y;\n }\n x = current[3];\n y = current[4];\n current[0] = 'C';\n current[5] = current[3];\n current[6] = current[4];\n current[3] = current[1];\n current[4] = current[2];\n current[1] = controlX;\n current[2] = controlY;\n // current[3] and current[4] are NOW the second control point.\n // we keep it for the next reflection.\n controlX = current[3];\n controlY = current[4];\n break;\n case 'q': // quadraticCurveTo, relative\n current[0] = 'Q';\n current[1] += x;\n current[2] += y;\n current[3] += x;\n current[4] += y;\n // falls through\n case 'Q':\n controlX = current[1];\n controlY = current[2];\n x = current[3];\n y = current[4];\n break;\n case 't': // shorthand quadraticCurveTo, relative\n current[0] = 'T';\n current[1] += x;\n current[2] += y;\n // falls through\n case 'T':\n if (previous === 'Q') {\n // calculate reflection of previous control point\n controlX = 2 * x - controlX;\n controlY = 2 * y - controlY;\n }\n else {\n // If there is no previous command or if the previous command was not a Q, q, T or t,\n // assume the control point is coincident with the current point\n controlX = x;\n controlY = y;\n }\n current[0] = 'Q';\n x = current[1];\n y = current[2];\n current[1] = controlX;\n current[2] = controlY;\n current[3] = x;\n current[4] = y;\n break;\n case 'a':\n current[0] = 'A';\n current[6] += x;\n current[7] += y;\n // falls through\n case 'A':\n converted = true;\n destinationPath = destinationPath.concat(fromArcToBeziers(x, y, current));\n x = current[6];\n y = current[7];\n break;\n case 'z':\n case 'Z':\n x = x1;\n y = y1;\n break;\n default:\n }\n if (!converted) {\n destinationPath.push(current);\n }\n previous = current[0];\n }\n return destinationPath;\n };\n\n /**\n * Calc length from point x1,y1 to x2,y2\n * @param {Number} x1 starting point x\n * @param {Number} y1 starting point y\n * @param {Number} x2 starting point x\n * @param {Number} y2 starting point y\n * @return {Number} length of segment\n */\n function calcLineLength(x1, y1, x2, y2) {\n return Math.sqrt((x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1));\n }\n\n // functions for the Cubic beizer\n // taken from: https://github.com/konvajs/konva/blob/7.0.5/src/shapes/Path.ts#L350\n function CB1(t) {\n return t * t * t;\n }\n function CB2(t) {\n return 3 * t * t * (1 - t);\n }\n function CB3(t) {\n return 3 * t * (1 - t) * (1 - t);\n }\n function CB4(t) {\n return (1 - t) * (1 - t) * (1 - t);\n }\n\n function getPointOnCubicBezierIterator(p1x, p1y, p2x, p2y, p3x, p3y, p4x, p4y) {\n return function(pct) {\n var c1 = CB1(pct), c2 = CB2(pct), c3 = CB3(pct), c4 = CB4(pct);\n return {\n x: p4x * c1 + p3x * c2 + p2x * c3 + p1x * c4,\n y: p4y * c1 + p3y * c2 + p2y * c3 + p1y * c4\n };\n };\n }\n\n function getTangentCubicIterator(p1x, p1y, p2x, p2y, p3x, p3y, p4x, p4y) {\n return function (pct) {\n var invT = 1 - pct,\n tangentX = (3 * invT * invT * (p2x - p1x)) + (6 * invT * pct * (p3x - p2x)) +\n (3 * pct * pct * (p4x - p3x)),\n tangentY = (3 * invT * invT * (p2y - p1y)) + (6 * invT * pct * (p3y - p2y)) +\n (3 * pct * pct * (p4y - p3y));\n return Math.atan2(tangentY, tangentX);\n };\n }\n\n function QB1(t) {\n return t * t;\n }\n\n function QB2(t) {\n return 2 * t * (1 - t);\n }\n\n function QB3(t) {\n return (1 - t) * (1 - t);\n }\n\n function getPointOnQuadraticBezierIterator(p1x, p1y, p2x, p2y, p3x, p3y) {\n return function(pct) {\n var c1 = QB1(pct), c2 = QB2(pct), c3 = QB3(pct);\n return {\n x: p3x * c1 + p2x * c2 + p1x * c3,\n y: p3y * c1 + p2y * c2 + p1y * c3\n };\n };\n }\n\n function getTangentQuadraticIterator(p1x, p1y, p2x, p2y, p3x, p3y) {\n return function (pct) {\n var invT = 1 - pct,\n tangentX = (2 * invT * (p2x - p1x)) + (2 * pct * (p3x - p2x)),\n tangentY = (2 * invT * (p2y - p1y)) + (2 * pct * (p3y - p2y));\n return Math.atan2(tangentY, tangentX);\n };\n }\n\n\n // this will run over a path segment ( a cubic or quadratic segment) and approximate it\n // with 100 segemnts. This will good enough to calculate the length of the curve\n function pathIterator(iterator, x1, y1) {\n var tempP = { x: x1, y: y1 }, p, tmpLen = 0, perc;\n for (perc = 1; perc <= 100; perc += 1) {\n p = iterator(perc / 100);\n tmpLen += calcLineLength(tempP.x, tempP.y, p.x, p.y);\n tempP = p;\n }\n return tmpLen;\n }\n\n /**\n * Given a pathInfo, and a distance in pixels, find the percentage from 0 to 1\n * that correspond to that pixels run over the path.\n * The percentage will be then used to find the correct point on the canvas for the path.\n * @param {Array} segInfo fabricJS collection of information on a parsed path\n * @param {Number} distance from starting point, in pixels.\n * @return {Object} info object with x and y ( the point on canvas ) and angle, the tangent on that point;\n */\n function findPercentageForDistance(segInfo, distance) {\n var perc = 0, tmpLen = 0, iterator = segInfo.iterator, tempP = { x: segInfo.x, y: segInfo.y },\n p, nextLen, nextStep = 0.01, angleFinder = segInfo.angleFinder, lastPerc;\n // nextStep > 0.0001 covers 0.00015625 that 1/64th of 1/100\n // the path\n while (tmpLen < distance && nextStep > 0.0001) {\n p = iterator(perc);\n lastPerc = perc;\n nextLen = calcLineLength(tempP.x, tempP.y, p.x, p.y);\n // compare tmpLen each cycle with distance, decide next perc to test.\n if ((nextLen + tmpLen) > distance) {\n // we discard this step and we make smaller steps.\n perc -= nextStep;\n nextStep /= 2;\n }\n else {\n tempP = p;\n perc += nextStep;\n tmpLen += nextLen;\n }\n }\n p.angle = angleFinder(lastPerc);\n return p;\n }\n\n /**\n * Run over a parsed and simplifed path and extrac some informations.\n * informations are length of each command and starting point\n * @param {Array} path fabricJS parsed path commands\n * @return {Array} path commands informations\n */\n function getPathSegmentsInfo(path) {\n var totalLength = 0, len = path.length, current,\n //x2 and y2 are the coords of segment start\n //x1 and y1 are the coords of the current point\n x1 = 0, y1 = 0, x2 = 0, y2 = 0, info = [], iterator, tempInfo, angleFinder;\n for (var i = 0; i < len; i++) {\n current = path[i];\n tempInfo = {\n x: x1,\n y: y1,\n command: current[0],\n };\n switch (current[0]) { //first letter\n case 'M':\n tempInfo.length = 0;\n x2 = x1 = current[1];\n y2 = y1 = current[2];\n break;\n case 'L':\n tempInfo.length = calcLineLength(x1, y1, current[1], current[2]);\n x1 = current[1];\n y1 = current[2];\n break;\n case 'C':\n iterator = getPointOnCubicBezierIterator(\n x1,\n y1,\n current[1],\n current[2],\n current[3],\n current[4],\n current[5],\n current[6]\n );\n angleFinder = getTangentCubicIterator(\n x1,\n y1,\n current[1],\n current[2],\n current[3],\n current[4],\n current[5],\n current[6]\n );\n tempInfo.iterator = iterator;\n tempInfo.angleFinder = angleFinder;\n tempInfo.length = pathIterator(iterator, x1, y1);\n x1 = current[5];\n y1 = current[6];\n break;\n case 'Q':\n iterator = getPointOnQuadraticBezierIterator(\n x1,\n y1,\n current[1],\n current[2],\n current[3],\n current[4]\n );\n angleFinder = getTangentQuadraticIterator(\n x1,\n y1,\n current[1],\n current[2],\n current[3],\n current[4]\n );\n tempInfo.iterator = iterator;\n tempInfo.angleFinder = angleFinder;\n tempInfo.length = pathIterator(iterator, x1, y1);\n x1 = current[3];\n y1 = current[4];\n break;\n case 'Z':\n case 'z':\n // we add those in order to ease calculations later\n tempInfo.destX = x2;\n tempInfo.destY = y2;\n tempInfo.length = calcLineLength(x1, y1, x2, y2);\n x1 = x2;\n y1 = y2;\n break;\n }\n totalLength += tempInfo.length;\n info.push(tempInfo);\n }\n info.push({ length: totalLength, x: x1, y: y1 });\n return info;\n }\n\n function getPointOnPath(path, distance, infos) {\n if (!infos) {\n infos = getPathSegmentsInfo(path);\n }\n var i = 0;\n while ((distance - infos[i].length > 0) && i < (infos.length - 2)) {\n distance -= infos[i].length;\n i++;\n }\n // var distance = infos[infos.length - 1] * perc;\n var segInfo = infos[i], segPercent = distance / segInfo.length,\n command = segInfo.command, segment = path[i], info;\n\n switch (command) {\n case 'M':\n return { x: segInfo.x, y: segInfo.y, angle: 0 };\n case 'Z':\n case 'z':\n info = new fabric.Point(segInfo.x, segInfo.y).lerp(\n new fabric.Point(segInfo.destX, segInfo.destY),\n segPercent\n );\n info.angle = Math.atan2(segInfo.destY - segInfo.y, segInfo.destX - segInfo.x);\n return info;\n case 'L':\n info = new fabric.Point(segInfo.x, segInfo.y).lerp(\n new fabric.Point(segment[1], segment[2]),\n segPercent\n );\n info.angle = Math.atan2(segment[2] - segInfo.y, segment[1] - segInfo.x);\n return info;\n case 'C':\n return findPercentageForDistance(segInfo, distance);\n case 'Q':\n return findPercentageForDistance(segInfo, distance);\n }\n }\n\n /**\n *\n * @param {string} pathString\n * @return {(string|number)[][]} An array of SVG path commands\n * @example