/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */

/*************************************************************
 *
 *  MathJax/jax/input/TeX/jax.js
 *  
 *  Implements the TeX InputJax that reads mathematics in
 *  TeX and LaTeX format and converts it to the MML ElementJax
 *  internal format.
 *
 *  ---------------------------------------------------------------------
 *  
 *  Copyright (c) 2009-2013 The MathJax Consortium
 * 
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 * 
 *      http://www.apache.org/licenses/LICENSE-2.0
 * 
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 */(function(g,p,r){var c,t=function(a){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",a]].concat([].slice.call(arguments,1)))},u=MathJax.Object.Subclass({Init:function(a,b){this.global={isInner:b};this.data=[f.start(this.global)];a&&(this.data[0].env=a);this.env=this.data[0].env},Push:function(){var a,b,e,d;a=0;for(b=arguments.length;a<b;a++)if(e=arguments[a],e instanceof c.mbase&&(e=f.mml(e)),e.global=this.global,d=this.data.length?this.Top().checkItem(e):!0,d instanceof Array)this.Pop(),this.Push.apply(this,d);else if(d instanceof f)this.Pop(),this.Push(d);else if(d)if(this.data.push(e),e.env){for(var k in this.env)this.env.hasOwnProperty(k)&&(e.env[k]=this.env[k]);this.env=e.env}else e.env=this.env},Pop:function(){var a=this.data.pop();a.isOpen||delete a.env;this.env=this.data.length?this.Top().env:{};return a},Top:function(a){null==a&&(a=1);return this.data.length<a?null:this.data[this.data.length-a]},Prev:function(a){var b=this.Top();return a?b.data[b.data.length-1]:b.Pop()},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}}),f=u.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){this.isOpen&&(this.env={});this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(a,b){null==a&&(a=!0);return 1!==this.data.length||b?c.mrow.apply(c,this.data).With(a?{inferred:!0}:{}):this.data[0]},checkItem:function(a){"over"===a.type&&this.isOpen&&(a.num=this.mmlData(!1),this.data=[]);if("cell"===a.type&&this.isOpen){if(a.linebreak)return!1;g.Error(["Misplaced","Misplaced %1",a.name])}a.isClose&&this[a.type+"Error"]&&g.Error(this[a.type+"Error"]);if(!a.isNotStack)return!0;this.Push(a.data[0]);return!1},With:function(a){for(var b in a)a.hasOwnProperty(b)&&(this[b]=a[b]);return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});f.start=f.Subclass({type:"start",isOpen:!0,Init:function(a){this.SUPER(arguments).Init.call(this);this.global=a},checkItem:function(a){return"stop"===a.type?f.mml(this.mmlData()):this.SUPER(arguments).checkItem.call(this,a)}});f.stop=f.Subclass({type:"stop",isClose:!0});f.open=f.Subclass({type:"open",isOpen:!0,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(a){if("close"===a.type){var b=this.mmlData();return f.mml(c.TeXAtom(b))}return this.SUPER(arguments).checkItem.call(this,a)}});f.close=f.Subclass({type:"close",isClose:!0});f.prime=f.Subclass({type:"prime",checkItem:function(a){if("msubsup"!==this.data[0].type)return[c.msup(this.data[0],this.data[1]),a];this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],a]}});f.subsup=f.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSup","Missing open brace for subscript"],checkItem:function(a){if("open"===a.type||"left"===a.type)return!0;if("mml"===a.type)return this.primes&&(2!==this.position?this.data[0].SetData(2,this.primes):a.data[0]=c.mrow(this.primes.With({variantForm:!0}),a.data[0])),this.data[0].SetData(this.position,a.data[0]),f.mml(this.data[0]);this.SUPER(arguments).checkItem.call(this,a)&&g.Error(this[["","subError","supError"][this.position]])},Pop:function(){}});f.over=f.Subclass({type:"over",isClose:!0,name:"\\over",checkItem:function(a,b){"over"===a.type&&g.Error(["AmbiguousUseOf","Ambiguous use of %1",a.name]);if(a.isClose){var e=c.mfrac(this.num,this.mmlData(!1));null!=this.thickness&&(e.linethickness=this.thickness);if(this.open||this.close)e.texClass=c.TEXCLASS.INNER,e.texWithDelims=!0,e=g.fenced(this.open,e,this.close);return[f.mml(e),a]}return this.SUPER(arguments).checkItem.call(this,a)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});f.left=f.Subclass({type:"left",isOpen:!0,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(a){return"right"===a.type?f.mml(g.fenced(this.delim,this.mmlData(),a.delim)):this.SUPER(arguments).checkItem.call(this,a)}});f.right=f.Subclass({type:"right",isClose:!0,delim:")"});f.begin=f.Subclass({type:"begin",isOpen:!0,checkItem:function(a){if("end"===a.type)return a.name!==this.name&&g.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,a.name]),this.end?this.parse[this.end].call(this.parse,this,this.data):f.mml(this.mmlData());"stop"===a.type&&g.Error(["EnvMissingEnd","Missing \\end{%1}",this.name]);return this.SUPER(arguments).checkItem.call(this,a)}});f.end=f.Subclass({type:"end",isClose:!0});f.style=f.Subclass({type:"style",checkItem:function(a){if(!a.isClose)return this.SUPER(arguments).checkItem.call(this,a);var b=c.mstyle.apply(c,this.data).With(this.styles);return[f.mml(b),a]}});f.position=f.Subclass({type:"position",checkItem:function(a){a.isClose&&g.Error(["MissingBoxFor","Missing box for %1",name]);if(a.isNotStack){var b=a.mmlData();switch(this.move){case "vertical":return b=c.mpadded(b).With({height:this.dh,depth:this.dd,voffset:this.dh}),[f.mml(b)];case "horizontal":return[f.mml(this.left),a,f.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,a)}});f.array=f.Subclass({type:"array",isOpen:!0,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(a){if(a.isClose&&"over"!==a.type){if(a.isEntry)return this.EndEntry(),this.clearEnv(),!1;if(a.isCR)return this.EndEntry(),this.EndRow(),this.clearEnv(),!1;this.EndTable();this.clearEnv();var b=c.mtable.apply(c,this.table).With(this.arraydef);4===this.frame.length?b.frame=this.frame.dashed?"dashed":"solid":this.frame.length&&(b.hasFrame=!0,this.arraydef.rowlines&&(this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")),b=c.menclose(b).With({notation:this.frame.join(" "),isFrame:!0}),"none"!=(this.arraydef.columnlines||"none")||"none"!=(this.arraydef.rowlines||"none"))&&(b.padding=0);if(this.open||this.close)b=g.fenced(this.open,b,this.close);b=f.mml(b);if(this.requireClose){if("close"===a.type)return b;g.Error(["MissingCloseBrace","Missing close brace"])}return[b,a]}return this.SUPER(arguments).checkItem.call(this,a)},EndEntry:function(){this.row.push(c.mtd.apply(c,this.data));this.data=[]},EndRow:function(){this.table.push(c.mtr.apply(c,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length)this.EndEntry(),this.EndRow();this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var a=this.arraydef.rowlines.split(/ /);a.length===this.table.length?(this.frame.push("bottom"),a.pop(),this.arraydef.rowlines=a.join(" ")):a.length<this.table.length-1&&(this.arraydef.rowlines+=" none")}if(this.rowspacing){for(a=this.arraydef.rowspacing.split(/ /);a.length<this.table.length;)a.push(this.rowspacing+"em");this.arraydef.rowspacing=a.join(" ")}},clearEnv:function(){for(var a in this.env)this.env.hasOwnProperty(a)&&delete this.env[a]}});f.cell=f.Subclass({type:"cell",isClose:!0});f.mml=f.Subclass({type:"mml",isNotStack:!0,Add:function(){this.data.push.apply(this.data,arguments);return this}});f.fn=f.Subclass({type:"fn",checkItem:function(a){if(this.data[0]){if("mml"!==a.type||!a.data[0]||a.data[0].isa(c.mspace))return[this.data[0],a];var b=a.data[0];b.isEmbellished()&&(b=b.CoreMO());return[0,0,1,1,0,1,1,0,0,0][b.Get("texClass")]?[this.data[0],a]:[this.data[0],c.mo(c.entity("#x2061")).With({texClass:c.TEXCLASS.NONE}),a]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});f.not=f.Subclass({type:"not",checkItem:function(a){var b,e;if("open"===a.type||"left"===a.type)return!0;if("mml"===a.type&&a.data[0].type.match(/^(mo|mi|mtext)$/)&&(b=a.data[0],e=b.data.join(""),1===e.length&&!b.movesupsub))return(e=f.not.remap[e.charCodeAt(0)])?b.SetData(0,c.chars(String.fromCharCode(e))):b.Append(c.chars("\u0338")),a;b=c.mpadded(c.mtext("\u29f8")).With({width:0});b=c.TeXAtom(b).With({texClass:c.TEXCLASS.REL});return[b,a]}});f.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};f.dots=f.Subclass({type:"dots",checkItem:function(a){if("open"===a.type||"left"===a.type)return!0;var b=this.ldots;if("mml"===a.type&&a.data[0].isEmbellished()){var e=a.data[0].CoreMO().Get("texClass");if(e===c.TEXCLASS.BIN||e===c.TEXCLASS.REL)b=this.cdots}return[b,a]}});var h={Add:function(a,b,c){b||(b=this);for(var d in a)a.hasOwnProperty(d)&&("object"!==typeof a[d]||a[d]instanceof Array||"object"!==typeof b[d]&&"function"!==typeof b[d]?b[d]&&b[d].isUser&&c||(b[d]=a[d]):this.Add(a[d],b[d],a[d],c));return b}},v=MathJax.Object.Subclass({Init:function(a,b){this.string=a;this.macroCount=this.i=0;var c;if(b){c={};for(var d in b)b.hasOwnProperty(d)&&(c[d]=b[d])}this.stack=g.Stack(c,!!b);this.Parse();this.Push(f.stop())},Parse:function(){for(var a,b;this.i<this.string.length;)if(a=this.string.charAt(this.i++),b=a.charCodeAt(0),55296<=b&&56320>b&&(a+=this.string.charAt(this.i++)),h.special[a])this[h.special[a]](a);else h.letter.test(a)?this.Variable(a):h.digit.test(a)?this.Number(a):this.Other(a)},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){return"mml"!==this.stack.Top().type?null:this.stack.Top().data[0]},mmlToken:function(a){return a},ControlSequence:function(a){var b=this.GetCS(),c=this.csFindMacro(b);if(c){c instanceof Array||(c=[c]);var d=c[0];d instanceof Function||(d=this[d]);d.apply(this,[a+b].concat(c.slice(1)))}else h.mathchar0mi[b]?this.csMathchar0mi(b,h.mathchar0mi[b]):h.mathchar0mo[b]?this.csMathchar0mo(b,h.mathchar0mo[b]):h.mathchar7[b]?this.csMathchar7(b,h.mathchar7[b]):null!=h.delimiter["\\"+b]?this.csDelimiter(b,h.delimiter["\\"+b]):this.csUndefined(a+b)},csFindMacro:function(a){return h.macros[a]},csMathchar0mi:function(a,b){var e={mathvariant:c.VARIANT.ITALIC};b instanceof Array&&(e=b[1],b=b[0]);this.Push(this.mmlToken(c.mi(c.entity("#x"+b)).With(e)))},csMathchar0mo:function(a,b){var e={stretchy:!1};b instanceof Array&&(e=b[1],e.stretchy=!1,b=b[0]);this.Push(this.mmlToken(c.mo(c.entity("#x"+b)).With(e)))},csMathchar7:function(a,b){var e={mathvariant:c.VARIANT.NORMAL};b instanceof Array&&(e=b[1],b=b[0]);this.stack.env.font&&(e.mathvariant=this.stack.env.font);this.Push(this.mmlToken(c.mi(c.entity("#x"+b)).With(e)))},csDelimiter:function(a,b){var e={};b instanceof Array&&(e=b[1],b=b[0]);b=4===b.length?c.entity("#x"+b):c.chars(b);this.Push(this.mmlToken(c.mo(b).With({fence:!1,stretchy:!1}).With(e)))},csUndefined:function(a){g.Error(["UndefinedControlSequence","Undefined control sequence %1",a])},Variable:function(a){var b={};this.stack.env.font&&(b.mathvariant=this.stack.env.font);this.Push(this.mmlToken(c.mi(c.chars(a)).With(b)))},Number:function(a){var b=this.string.slice(this.i-1).match(h.number);b?(a=c.mn(b[0].replace(/[{}]/g,"")),this.i+=b[0].length-1):a=c.mo(c.chars(a));this.stack.env.font&&(a.mathvariant=this.stack.env.font);this.Push(this.mmlToken(a))},Open:function(a){this.Push(f.open())},Close:function(a){this.Push(f.close())},Tilde:function(a){this.Push(c.mtext(c.chars("\u00a0")))},Space:function(a){},Superscript:function(a){this.GetNext().match(/\d/)&&(this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1));var b,e;b=this.stack.Top();"prime"===b.type?(a=b.data[0],e=b.data[1],this.stack.Pop()):(a=this.stack.Prev())||(a=c.mi(""));a.isEmbellishedWrapper&&(a=a.data[0].data[0]);if("msubsup"===a.type)a.data[a.sup]&&g.Error(["DoubleExponent","Double exponent: use braces to clarify"]),b=a.sup;else if(a.movesupsub){if("munderover"!==a.type||a.data[a.over])a.movablelimits&&a.isa(c.mi)&&(a=this.mi2mo(a)),a=c.munderover(a,null,null).With({movesupsub:!0});b=a.over}else a=c.msubsup(a,null,null),b=a.sup;this.Push(f.subsup(a).With({position:b,primes:e}))},Subscript:function(a){this.GetNext().match(/\d/)&&(this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1));var b,e;b=this.stack.Top();"prime"===b.type?(a=b.data[0],e=b.data[1],this.stack.Pop()):(a=this.stack.Prev())||(a=c.mi(""));a.isEmbellishedWrapper&&(a=a.data[0].data[0]);if("msubsup"===a.type)a.data[a.sub]&&g.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"]),b=a.sub;else if(a.movesupsub){if("munderover"!==a.type||a.data[a.under])a.movablelimits&&a.isa(c.mi)&&(a=this.mi2mo(a)),a=c.munderover(a,null,null).With({movesupsub:!0});b=a.under}else a=c.msubsup(a,null,null),b=a.sub;this.Push(f.subsup(a).With({position:b,primes:e}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(a){var b=this.stack.Prev();b||(b=c.mi());"msubsup"===b.type&&b.data[b.sup]&&g.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"]);var e="";this.i--;do e+=this.PRIME,this.i++,a=this.GetNext();while("'"===a||a===this.SMARTQUOTE);e=["","\u2032","\u2033","\u2034","\u2057"][e.length]||e;this.Push(f.prime(b,this.mmlToken(c.mo(e))))},mi2mo:function(a){var b=c.mo();b.Append.apply(b,a.data);for(var e in b.defaults)b.defaults.hasOwnProperty(e)&&null!=a[e]&&(b[e]=a[e]);for(e in c.copyAttributes)c.copyAttributes.hasOwnProperty(e)&&null!=a[e]&&(b[e]=a[e]);return b},Comment:function(a){for(;this.i<this.string.length&&"\n"!=this.string.charAt(this.i);)this.i++},Hash:function(a){g.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(a){var b={stretchy:!1};this.stack.env.font&&(b.mathvariant=this.stack.env.font);h.remap[a]?(a=h.remap[a],a instanceof Array&&(b=a[1],a=a[0]),a=c.mo(c.entity("#x"+a)).With(b)):a=c.mo(a).With(b);""==a.autoDefault("texClass",!0)&&(a=c.TeXAtom(a));this.Push(this.mmlToken(a))},SetFont:function(a,b){this.stack.env.font=b},SetStyle:function(a,b,c,d){this.stack.env.style=b;this.stack.env.level=d;this.Push(f.style().With({styles:{displaystyle:c,scriptlevel:d}}))},SetSize:function(a,b){this.stack.env.size=b;this.Push(f.style().With({styles:{mathsize:b+"em"}}))},Color:function(a){var b=this.GetArgument(a),e=this.stack.env.color;this.stack.env.color=b;a=this.ParseArg(a);e?this.stack.env.color:delete this.stack.env.color;this.Push(c.mstyle(a).With({mathcolor:b}))},Spacer:function(a,b){this.Push(c.mspace().With({width:b,mathsize:c.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(a){this.Push(f[a.substr(1)]().With({delim:this.GetDelimiter(a)}))},Middle:function(a){var b=this.GetDelimiter(a);"left"!==this.stack.Top().type&&g.Error(["MisplacedMiddle","%1 must be within \\left and \\right",a]);this.Push(c.mo(b).With({stretchy:!0}))},NamedFn:function(a,b){b||(b=a.substr(1));var e=c.mi(b).With({texClass:c.TEXCLASS.OP});this.Push(f.fn(this.mmlToken(e)))},NamedOp:function(a,b){b||(b=a.substr(1));b=b.replace(/&thinsp;/,"\u2006");var e=c.mo(b).With({movablelimits:!0,movesupsub:!0,form:c.FORM.PREFIX,texClass:c.TEXCLASS.OP});e.useMMLspacing&=~e.SPACE_ATTR.form;this.Push(this.mmlToken(e))},Limits:function(a,b){var e=this.stack.Prev("nopop");e&&e.texClass===c.TEXCLASS.OP||g.Error(["MisplacedLimits","%1 is allowed only on operators",a]);e.movesupsub=b?!0:!1;e.movablelimits=!1},Over:function(a,b,c){var d=f.over().With({name:a});b||c?(d.open=b,d.close=c):a.match(/withdelims$/)&&(d.open=this.GetDelimiter(a),d.close=this.GetDelimiter(a));if(a.match(/^\\above/))d.thickness=this.GetDimen(a);else if(a.match(/^\\atop/)||b||c)d.thickness=0;this.Push(d)},Frac:function(a){var b=this.ParseArg(a);a=this.ParseArg(a);this.Push(c.mfrac(b,a))},Sqrt:function(a){var 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d={accent:!0};this.stack.env.font&&(d.mathvariant=this.stack.env.font);b=this.mmlToken(c.mo(c.entity("#x"+b)).With(d));b.stretchy=e?!0:!1;this.Push(c.TeXAtom(c.munderover(a,null,b).With({accent:!0})))},UnderOver:function(a,b,e){var d={o:"over",u:"under"}[a.charAt(1)];a=this.ParseArg(a);a.Get("movablelimits")&&(a.movablelimits=!1);a=c.munderover(a,null,null);e&&(a.movesupsub=!0);a.data[a[d]]=this.mmlToken(c.mo(c.entity("#x"+b)).With({stretchy:!0,accent:"under"==d}));this.Push(a)},Overset:function(a){var b=this.ParseArg(a);a=this.ParseArg(a);this.Push(c.mover(a,b))},Underset:function(a){var b=this.ParseArg(a);a=this.ParseArg(a);this.Push(c.munder(a,b))},TeXAtom:function(a,b){var e={texClass:b};if(b==c.TEXCLASS.OP){e.movesupsub=e.movablelimits=!0;var d=this.GetArgument(a),k=d.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);k?(e.mathvariant=c.VARIANT.NORMAL,e=f.fn(this.mmlToken(c.mi(k[1]).With(e)))):e=f.fn(c.TeXAtom(g.Parse(d,this.stack.env).mml()).With(e))}else 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