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paper-full.js
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paper-full.js
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var paper = new function(undefined) {
var Base = new function() {
var hidden = /^(statics|enumerable|beans|preserve)$/,
forEach = [].forEach || function(iter, bind) {
for (var i = 0, l = this.length; i < l; i++)
iter.call(bind, this[i], i, this);
},
forIn = function(iter, bind) {
for (var i in this)
if (this.hasOwnProperty(i))
iter.call(bind, this[i], i, this);
},
create = Object.create || function(proto) {
return { __proto__: proto };
},
describe = Object.getOwnPropertyDescriptor || function(obj, name) {
var get = obj.__lookupGetter__ && obj.__lookupGetter__(name);
return get
? { get: get, set: obj.__lookupSetter__(name),
enumerable: true, configurable: true }
: obj.hasOwnProperty(name)
? { value: obj[name], enumerable: true,
configurable: true, writable: true }
: null;
},
_define = Object.defineProperty || function(obj, name, desc) {
if ((desc.get || desc.set) && obj.__defineGetter__) {
if (desc.get)
obj.__defineGetter__(name, desc.get);
if (desc.set)
obj.__defineSetter__(name, desc.set);
} else {
obj[name] = desc.value;
}
return obj;
},
define = function(obj, name, desc) {
delete obj[name];
return _define(obj, name, desc);
};
function inject(dest, src, enumerable, beans, preserve) {
var beansNames = {};
function field(name, val) {
val = val || (val = describe(src, name))
&& (val.get ? val : val.value);
if (typeof val === 'string' && val[0] === '#')
val = dest[val.substring(1)] || val;
var isFunc = typeof val === 'function',
res = val,
prev = preserve || isFunc && !val.base
? (val && val.get ? name in dest : dest[name])
: null,
bean;
if (!preserve || !prev) {
if (isFunc && prev)
val.base = prev;
if (isFunc && beans !== false
&& (bean = name.match(/^([gs]et|is)(([A-Z])(.*))$/)))
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;
}
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 each(obj, iter, bind) {
if (obj)
('length' in obj && !obj.getLength
&& typeof obj.length === 'number'
? forEach
: forIn).call(obj, iter, bind = bind || obj);
return bind;
}
function set(obj, props, exclude) {
for (var key in props)
if (props.hasOwnProperty(key) && !(exclude && exclude[key]))
obj[key] = props[key];
return obj;
}
return inject(function Base() {
for (var i = 0, l = arguments.length; i < l; i++)
set(this, arguments[i]);
}, {
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, true, 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, l = arguments.length; i < l; i++)
if (ctor = arguments[i].initialize)
break;
ctor = ctor || function() {
base.apply(this, arguments);
};
proto = ctor.prototype = create(this.prototype);
define(proto, 'constructor',
{ value: ctor, writable: true, configurable: true });
inject(ctor, this, true);
if (arguments.length)
this.inject.apply(ctor, arguments);
ctor.base = base;
return ctor;
}
}, true).inject({
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);
},
set: function(props) {
return set(this, props);
},
clone: function() {
return new this.constructor(this);
},
statics: {
each: each,
create: create,
define: define,
describe: describe,
set: set,
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;
}
}
});
};
if (typeof module !== 'undefined')
module.exports = Base;
Base.inject({
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 || '';
},
exportJSON: function(options) {
return Base.exportJSON(this, options);
},
toJSON: function() {
return Base.serialize(this);
},
_set: function(props, exclude, dontCheck) {
if (props && (dontCheck || Base.isPlainObject(props))) {
var keys = Object.keys(props._filtering || props);
for (var i = 0, l = keys.length; i < l; i++) {
var key = keys[i];
if (!(exclude && exclude[key])) {
var value = props[key];
if (value !== undefined)
this[key] = value;
}
}
return true;
}
},
statics: {
exports: {
enumerable: true
},
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, length) {
if (this === Base) {
var value = this.peek(list, start);
list.__index++;
return value;
}
var proto = this.prototype,
readIndex = proto._readIndex,
index = start || readIndex && list.__index || 0;
if (!length)
length = list.length - index;
var obj = list[index];
if (obj instanceof this
|| options && options.readNull && obj == null && length <= 1) {
if (readIndex)
list.__index = index + 1;
return obj && options && options.clone ? obj.clone() : obj;
}
obj = Base.create(this.prototype);
if (readIndex)
obj.__read = true;
obj = obj.initialize.apply(obj, index > 0 || length < list.length
? Array.prototype.slice.call(list, index, index + length)
: list) || obj;
if (readIndex) {
list.__index = index + obj.__read;
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);
},
readAll: function(list, start, options) {
var res = [],
entry;
for (var i = start || 0, l = list.length; i < l; 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, length) {
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._filtering = list[0];
}
filtered[name] = undefined;
}
return this.read(hasObject ? [value] : list, start, options, length);
},
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);
},
isPlainValue: function(obj, asString) {
return this.isPlainObject(obj) || Array.isArray(obj)
|| asString && typeof obj === 'string';
},
serialize: function(obj, options, compact, dictionary) {
options = options || {};
var root = !dictionary,
res;
if (root) {
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 && !compact && !res._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);
if (compact)
res._compact = true;
} 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 root && dictionary.length > 0
? [['dictionary', dictionary.definitions], res]
: res;
},
deserialize: function(json, create, _data, _isDictionary) {
var res = json,
isRoot = !_data;
_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 = [];
if (_isDictionary)
_data.dictionary = res;
for (var i = type ? 1 : 0, l = json.length; i < l; i++)
res.push(Base.deserialize(json[i], create, _data,
isDictionary));
if (type) {
var args = res;
if (create) {
res = create(type, args);
} else {
res = Base.create(type.prototype);
type.apply(res, args);
}
}
} else if (Base.isPlainObject(json)) {
res = {};
if (_isDictionary)
_data.dictionary = res;
for (var key in json)
res[key] = Base.deserialize(json[key], create, _data);
}
return isRoot && json && json.length && json[0][0] === 'dictionary'
? 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(type, args) {
var obj = target && target.constructor === type
? target
: Base.create(type.prototype),
isTarget = obj === target;
if (args.length === 1 && obj instanceof Item
&& (isTarget || !(obj instanceof Layer))) {
var arg = args[0];
if (Base.isPlainObject(arg))
arg.insert = false;
}
type.apply(obj, args);
if (isTarget)
target = null;
return obj;
});
},
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) {
list.push.apply(list, items);
return [];
} else {
var args = [index, remove];
if (items)
args.push.apply(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(all, 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 = [].slice.call(arguments, 1);
handlers = handlers.slice();
for (var i = 0, l = handlers.length; i < l; i++) {
if (handlers[i].apply(this, args) === false) {
if (event && event.stop)
event.stop();
break;
}
}
return true;
},
responds: function(type) {
return !!(this._callbacks && this._callbacks[type]);
},
attach: '#on',
detach: '#off',
fire: '#emit',
_installEvents: function(install) {
var handlers = this._callbacks,
key = install ? 'install' : 'uninstall';
for (var type in handlers) {
if (handlers[type].length > 0) {
var types = this._eventTypes,
entry = types && 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,
handleSize: 4,
hitTolerance: 0
});
this.project = null;
this.projects = [];
this.tools = [];
this.palettes = [];
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.browser) {
var agent = navigator.userAgent.toLowerCase(),
platform = (/(win)/.exec(agent)
|| /(mac)/.exec(agent)
|| /(linux)/.exec(agent)
|| [])[0],
browser = proto.browser = { platform: platform };
if (platform)
browser[platform] = true;
agent.replace(
/(opera|chrome|safari|webkit|firefox|msie|trident|atom)\/?\s*([.\d]+)(?:.*version\/([.\d]+))?(?:.*rv\:([.\d]+))?/g,
function(all, n, v1, v2, rv) {
if (!browser.chrome) {
var v = n === 'opera' ? v2 : v1;
if (n === 'trident') {
v = rv;
n = 'msie';
}
browser.version = v;
browser.versionNumber = parseFloat(v);
browser.name = n;
browser[n] = true;
}
}
);
if (browser.chrome)
delete browser.webkit;
if (browser.atom)
delete browser.chrome;
}
},
version: "0.9.25",
getView: function() {
return this.project && this.project.getView();
},
getPaper: function() {
return this;
},
execute: function(code, url, options) {
paper.PaperScript.execute(code, this, url, options);
View.updateFocus();
},
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;
},
activate: function() {
paper = this;
},
clear: function() {
for (var i = this.projects.length - 1; i >= 0; i--)
this.projects[i].remove();
for (var i = this.tools.length - 1; i >= 0; i--)
this.tools[i].remove();
for (var i = this.palettes.length - 1; i >= 0; i--)
this.palettes[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;
}
});
var Formatter = Base.extend({
initialize: function(precision) {
this.precision = precision || 5;
this.multiplier = Math.pow(10, this.precision);
},
number: function(val) {
return Math.round(val * this.multiplier) / this.multiplier;
},
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,
EPSILON = 1e-12,
MACHINE_EPSILON = 1.12e-16;
function clip(value, min, max) {
return value < min ? min : value > max ? max : value;
}
return {
TOLERANCE: 1e-6,
EPSILON: EPSILON,
MACHINE_EPSILON: MACHINE_EPSILON,
CURVETIME_EPSILON: 4e-7,
GEOMETRIC_EPSILON: 2e-7,
WINDING_EPSILON: 2e-7,
TRIGONOMETRIC_EPSILON: 1e-7,
CLIPPING_EPSILON: 1e-7,
KAPPA: 4 * (sqrt(2) - 1) / 3,
isZero: function(val) {
return val >= -EPSILON && val <= EPSILON;
},
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)
return nx;
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 x;
},
solveQuadratic: function(a, b, c, roots, min, max) {
var count = 0,
eMin = min - EPSILON,
eMax = max + EPSILON,
x1, x2 = Infinity,
B = b,
D;
b /= -2;
D = b * b - a * c;
if (D !== 0 && abs(D) < MACHINE_EPSILON) {
var gmC = pow(abs(a * b * c), 1 / 3);
if (gmC < 1e-8) {
var mult = pow(10,
abs(Math.floor(Math.log(gmC) * Math.LOG10E)));
if (!isFinite(mult))
mult = 0;
a *= mult;
b *= mult;
c *= mult;
D = b * b - a * c;
}
}
if (abs(a) < EPSILON) {
if (abs(B) < EPSILON)
return abs(c) < EPSILON ? -1 : 0;
x1 = -c / B;
} else 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;
}
}
if (isFinite(x1) && (min == null || x1 > eMin && x1 < eMax))
roots[count++] = min == null ? x1 : clip(x1, min, max);
if (x2 !== x1
&& isFinite(x2) && (min == null || x2 > eMin && x2 < eMax))
roots[count++] = min == null ? x2 : clip(x2, min, max);
return count;
},