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  goog.defineClass.applyProperties_=function(a,b){for(var c in b)Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c]);for(var d=0;d<goog.defineClass.OBJECT_PROTOTYPE_FIELDS_.length;d++)c=goog.defineClass.OBJECT_PROTOTYPE_FIELDS_[d],Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c])};goog.tagUnsealableClass=function(a){!COMPILED&&goog.defineClass.SEAL_CLASS_INSTANCES&&(a.prototype[goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_]=!0)};goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_="goog_defineClass_legacy_unsealable";
  goog.createRequiresTranspilation_=function(){function a(a,b){d?c[a]=!0:b()?c[a]=!1:d=c[a]=!0}function b(a){try{return!!eval(a)}catch(g){return!1}}var c={es3:!1},d=!1,e=goog.global.navigator&&goog.global.navigator.userAgent?goog.global.navigator.userAgent:"";a("es5",function(){return b("[1,].length==1")});a("es6",function(){var a=e.match(/Edge\/(\d+)(\.\d)*/i);return a&&15>Number(a[1])?!1:b('(()=>{"use strict";class X{constructor(){if(new.target!=String)throw 1;this.x=42}}let q=Reflect.construct(X,[],String);if(q.x!=42||!(q instanceof String))throw 1;for(const a of[2,3]){if(a==2)continue;function f(z={a}){let a=0;return z.a}{function f(){return 0;}}return f()==3}})()')});
  a("es6-impl",function(){return!0});a("es7",function(){return b("2 ** 2 == 4")});a("es8",function(){return b("async () => 1, true")});return c};var sre={AudioRenderer:function(){}};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.join(" ")};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:(c||function(a,b){return a+b}).call(null,a.pause,b.pause)}:b};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(b){delete a[b]});b.open.forEach(function(c){a[c]=b[c]});var c=Object.keys(a);a.open=c};
  sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(b){var d=a.indexOf(b);-1!==d&&(c.unshift(b),a.splice(d,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
  sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionString();e=e.personality;void 0!==e[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=e[sre.Engine.personalityProps.PAUSE],delete e[sre.Engine.personalityProps.PAUSE]);e=sre.AudioUtil.personalityDiff_(e,c);sre.AudioUtil.appendMarkup_(b,g,e,f,!0)}return b};
  sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isStringElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&"string"===Object.keys(a)[0]};
  sre.AudioUtil.appendMarkup_=function(a,b,c,d,e){if(e){if((e=a[a.length-1])&&!b&&d&&sre.AudioUtil.isPauseElement(e)){var f=sre.Engine.personalityProps.PAUSE;e[f]+=d[f];d=null}e&&b&&0===Object.keys(c).length&&sre.AudioUtil.isStringElement(e)&&(e.string+=" "+b,b="")}0!==Object.keys(c).length&&a.push(c);b&&a.push({string:b});d&&a.push(d)};
  sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={},d;for(d in sre.Engine.personalityProps){var e=sre.Engine.personalityProps[d],f=a[e],g=b[e];if(!(!f&&!g||f&&g&&f===g)){var h=f||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);f||c.close.push(e);g||c.open.push(e);g&&f&&(c.close.push(e),c.open.push(e));b[e]=h;c[e]=h;sre.AudioUtil.PersonalityRanges_[e]?sre.AudioUtil.PersonalityRanges_[e].push(h):sre.AudioUtil.PersonalityRanges_[e]=[h]}}if(sre.AudioUtil.isMarkupElement(c)){for(d=
  c.close.slice();0<d.length;)if(e=sre.AudioUtil.LastOpen_.pop(),f=sre.BaseUtil.setdifference(e,d),d=sre.BaseUtil.setdifference(d,e),e=f,0===d.length)0!==e.length&&sre.AudioUtil.LastOpen_.push(e);else if(0!==e.length)for(c.close=c.close.concat(e),c.open=c.open.concat(e),f=0;g=e[f];f++)c[g]=b[g];sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(e){e=(e-a)/(b-a);return+(Math.round(c*(1-e)+d*e+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
  sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
  sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+g.string+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(this.getSeparator())+")"};
  sre.AcssRenderer.prototype.merge=function(a){return"(exp "+a.map(function(a){return a.replace(/^\(exp /,"").replace(/\)$/,"")}).join(" ")+")"};sre.AcssRenderer.prototype.error=function(a){return'(error "'+a+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
  sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+a[sre.Engine.personalityProps.PAUSE]+")"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(a){return a})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(a){return 0>b.indexOf(a)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom");
  sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:sre.SystemExternal.require("xpath");sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");
  sre.SystemExternal.xm=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("xml-mapping");sre.SystemExternal.locationSupported=function(){return"undefined"!=typeof location};sre.SystemExternal.url=sre.SystemExternal.locationSupported()?location.protocol+"//progressiveaccess.com/content":"https://progressiveaccess.com/content";
  sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url+"/mathmaps")+"/"}();sre.SystemExternal.WGXpath=sre.SystemExternal.url+"/wgxpath.install.js";sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
  sre.BrowserUtil.loadWGXpath_=function(a){sre.BrowserUtil.loadScript(sre.SystemExternal.WGXpath);sre.BrowserUtil.installWGXpath_(a)};
  sre.BrowserUtil.installWGXpath_=function(a,b){var c=b||1;"undefined"===typeof wgxpath&&10>c?setTimeout(function(){sre.BrowserUtil.installWGXpath_(a,c++)},200):10<=c||(sre.SystemExternal.wgxpath=wgxpath,a?sre.SystemExternal.wgxpath.install({document:document}):sre.SystemExternal.wgxpath.install(),sre.XpathUtil.xpathEvaluate=document.evaluate,sre.XpathUtil.xpathResult=XPathResult,sre.XpathUtil.createNSResolver=document.createNSResolver)};
  sre.BrowserUtil.loadMapsForIE_=function(){sre.BrowserUtil.loadScript(sre.SystemExternal.jsonPath+"mathmaps_ie.js")};sre.BrowserUtil.loadScript=function(a){var b=sre.SystemExternal.document.createElement("script");b.type="text/javascript";b.src=a;sre.SystemExternal.document.head?sre.SystemExternal.document.head.appendChild(b):sre.SystemExternal.document.body.appendChild(b)};sre.DynamicProperties=function(a,b){this.properties_=a;this.order_=b||Object.keys(a)};sre.DynamicProperties.prototype.getProperties=function(){return this.properties_};sre.DynamicProperties.prototype.getOrder=function(){return this.order_};sre.DynamicProperties.prototype.getAxes=function(){return this.order_};sre.DynamicProperties.prototype.getProperty=function(a){return this.properties_[a]};
  sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};sre.DynamicCstr=function(a,b){this.components_=a;var c={},d;for(d in a){var e=a[d];c[d]=[e];sre.DynamicCstr.Values_.getInstance().add(d,e)}sre.DynamicProperties.call(this,c,b)};goog.inherits(sre.DynamicCstr,sre.DynamicProperties);sre.DynamicCstr.prototype.getComponents=function(){return this.components_};
  sre.DynamicCstr.prototype.getValue=function(a){return this.components_[a]};sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};
  sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LANGUAGE:"language",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};
  sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.LANGUAGE,sre.DynamicCstr.Axis.TOPIC,sre.DynamicCstr.Axis.MODALITY];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.Parser=function(a){this.order_=a};
  sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};
  sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};
  sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(b){var c=a.getValue(b);return c===this.reference_.getValue(b)||-1!==this.fallback_.getProperty(b).indexOf(c)},this))};
  sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};
  sre.DynamicProperties.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicProperties(c)};sre.DynamicCstr.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicCstr(c)};
  sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.defaults_())};sre.DynamicCstr.defaults_=function(){return Array.apply(null,Array(sre.DynamicCstr.DEFAULT_ORDER.length+1)).map(function(){return sre.DynamicCstr.DEFAULT_VALUE})};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(a){a=b.indexOf(a);return-1!==a&&b.splice(a,1)})};sre.Engine=function(){this.alternativeHost=this.activeHost=null;this.evaluator=sre.Engine.defaultEvaluator;this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.domain="default";this.style="short";this.walker="Syntax";this.semantics=!1;this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.NONE;this.ruleSets=[];this.cache=!0;this.markup=sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.setupTests_=[]};goog.addSingletonGetter(sre.Engine);
  sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",SSML:"ssml",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};
  sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
  sre.AuditoryDescription.prototype.clone=function(){var a;if(this.personality){a={};for(var b in this.personality)a=this.personality[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a})};sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'"  text="'+this.text+'"  userValue="'+this.userValue+'"  annotation="'+this.annotation+'")'};
  sre.AuditoryDescription.prototype.descriptionString=function(){return this.context?this.context+" "+this.text:this.text};sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
  sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.string)b.push(e.string);else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+1)).forEach(goog.bind(function(a){b.push(this.prosodyElement(a,
  e[a]));c.push(a)},this))}return b.join(this.getSeparator())};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+a[sre.Engine.personalityProps.PAUSE]+'"/>'};
  sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH BASE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.pause=function(a){return'<BREAK TIME="'+a[sre.Engine.personalityProps.PAUSE]+'ms"/>'};sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);var c=0>b?b.toString():"+"+b;return"<PROSODY "+a.toUpperCase()+'="'+c+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</PROSODY>"};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){return sre.BaseUtil.removeEmpty(a.map(function(a){return a.descriptionString()})).join(this.getSeparator())};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
  sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.merge(a):a.join()};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};
  sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);
  sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
  sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
  sre.XpathUtil.evaluateXpath_=function(a,b,c){var d=sre.Engine.getInstance();return d.mode!==sre.Engine.Mode.HTTP||d.isIE||d.isEdge?sre.XpathUtil.xpathEvaluate(a,b,new sre.XpathUtil.resolver_,c,null):sre.XpathUtil.currentDocument.evaluate(a,b,sre.XpathUtil.resolveNameSpace,c,null)};sre.XpathUtil.evalXPath=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.ORDERED_NODE_ITERATOR_TYPE)}catch(f){return[]}for(var d=[],e=c.iterateNext();e;e=c.iterateNext())d.push(e);return d};
  sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g," ");return a.replace(/>\s+</g,"><").trim()};
  sre.DomUtil.parseInput=function(a,b){var c=b||Error,d=new sre.SystemExternal.xmldom.DOMParser,e=sre.DomUtil.trimInput_(a);if(!e)throw new c("Empty input!");try{var f=d.parseFromString(e,"text/xml");sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP&&(sre.XpathUtil.currentDocument=f);return f.documentElement}catch(g){throw new c("Illegal input: "+g.message);}};
  sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
  sre.DomUtil.formatXml=function(a){var b=/(>)(<)(\/*)/g;a=a.replace(b,"$1\r\n$2$3");b=/(>)(.+)(<c)/g;a=a.replace(b,"$1\r\n$2\r\n$3");var c="",d="";a.split("\r\n").forEach(function(a){a.match(/.+<\/\w[^>]*>$/)?c+=d+a+"\r\n":a.match(/^<\/\w/)?d&&(d=d.slice(2),c+=d+a+"\r\n"):a.match(/^<\w[^>]*[^\/]>.*$/)?(c+=d+a+"\r\n",d+="  "):c+=d+a+"\r\n"});return c};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(a,c){return c.toUpperCase()})};
  sre.DomUtil.getDataAttribute=function(a,b){return a.dataset?a.dataset[sre.DomUtil.dataAttribute(b)]:a.getAttribute(b)};sre.DomUtil.querySelectorAllByAttr=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+"]")):sre.XpathUtil.evalXPath(".//*[@"+b+"]",a)};sre.DomUtil.querySelectorAllByAttrValue=function(a,b,c){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+'="'+c+'"]')):sre.XpathUtil.evalXPath(".//*[@"+b+'="'+c+'"]',a)};
  sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.log;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
  sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(a){var b=Array.prototype.slice.call(arguments,0);this.stream_.write(b.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(a){console.log("Invalid log file. Debug information sent to console.");this.outputFunction_=console.log},this));this.stream_.on("finish",function(){console.log("Finalizing debug file.")})};
  sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.log===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};
  sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){});this.isActive_=!1};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.AbstractEnrichCase.test=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.getEmbellishedCase=function(a){return new sre.EnrichCaseFactory.embellishedCase(a)};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(a){for(var c in a)b.push(a[c])});return b};
  sre.SemanticUtil.unicodeToNumber=function(a){if(!a||2<a.length)return null;if(2==a.length){var b=a.charCodeAt(0);a=a.charCodeAt(1);return 55296<=b&&56319>=b&&!isNaN(a)?1024*(b-55296)+(a-56320)+65536:null}return a.charCodeAt(0)};sre.SemanticUtil.numberToUnicode=function(a){return 65536>a?String.fromCharCode(a):String.fromCharCode((a-65536)/1024+55296,(a-65536)%1024+56320)};
  sre.SemanticUtil.splitUnicode=function(a){a=a.split("");for(var b=[],c=0,d;d=a[c];c++)"\ud800"<=d&&"\udbff">=d&&a[c+1]?b.push(d+a[++c]):b.push(d);return b};sre.SemanticUtil.LEAFTAGS=["MO","MI","MN","MTEXT","MS"];sre.SemanticUtil.IGNORETAGS="MERROR MPHANTOM MSPACE MALIGNGROUP MALIGNMARK MPRESCRIPTS ANNOTATION ANNOTATION-XML".split(" ");sre.SemanticUtil.EMPTYTAGS="MATH MROW MPADDED MACTION NONE MSTYLE SEMANTICS".split(" ");sre.SemanticUtil.hasMathTag=function(a){return!!a&&"MATH"===sre.DomUtil.tagName(a)};
  sre.SemanticUtil.hasIgnoreTag=function(a){return!!a&&-1!==sre.SemanticUtil.IGNORETAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.hasEmptyTag=function(a){return!!a&&-1!==sre.SemanticUtil.EMPTYTAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.purgeNodes=function(a){for(var b=[],c=0,d;d=a[c];c++){var e=sre.DomUtil.tagName(d);-1==sre.SemanticUtil.IGNORETAGS.indexOf(e)&&(-1!=sre.SemanticUtil.EMPTYTAGS.indexOf(e)&&0==d.childNodes.length||b.push(d))}return b};
  sre.SemanticUtil.isZeroLength=function(a){return a?-1!=="negativeveryverythinmathspace negativeverythinmathspace negativethinmathspace negativemediummathspace negativethickmathspace negativeverythickmathspace negativeveryverythickmathspace".split(" ").indexOf(a)?!0:(a=a.match(/[0-9\.]+/))?0===parseFloat(a)?!0:!1:!1:!1};sre.SemanticAttr=function(){this.generalPunctuations='!"#%&:;?@\\\u00a1\u00a7\u00b6\u00bf\u2017\u2020\u2021\u2022\u2023\u2024\u2025\u2027\u2030\u2031\u2038\u203b\u203c\u203d\u203e\u2041\u2042\u2043\u2047\u2048\u2049\u204b\u204c\u204d\u204e\u204f\u2050\u2051\u2053\u2055\u2056\u2058\u2059\u205a\u205b\u205c\u205d\u205e\ufe10\ufe13\ufe14\ufe15\ufe16\ufe30\ufe45\ufe46\ufe49\ufe4a\ufe4b\ufe4c\ufe50\ufe54\ufe55\ufe56\ufe57\ufe5f\ufe60\ufe61\ufe68\ufe6a\ufe6b\uff01\uff02\uff03\uff05\uff06\uff07\uff0a\uff0c\uff0f\uff1a\uff1b\uff1f\uff20\uff3c'.split("");
  this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769","\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771",
  "\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25","\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b",
  "\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f","\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4",
  "\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);
  this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");this.capitalLatinFullWidth=
  "\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
  this.smallLatinBold="\ud835\udc1a \ud835\udc1b \ud835\udc1c \ud835\udc1d \ud835\udc1e \ud835\udc1f \ud835\udc20 \ud835\udc21 \ud835\udc22 \ud835\udc23 \ud835\udc24 \ud835\udc25 \ud835\udc26 \ud835\udc27 \ud835\udc28 \ud835\udc29 \ud835\udc2a \ud835\udc2b \ud835\udc2c \ud835\udc2d \ud835\udc2e \ud835\udc2f \ud835\udc30 \ud835\udc31 \ud835\udc32 \ud835\udc33".split(" ");this.capitalLatinItalic="\ud835\udc34 \ud835\udc35 \ud835\udc36 \ud835\udc37 \ud835\udc38 \ud835\udc39 \ud835\udc3a \ud835\udc3b \ud835\udc3c \ud835\udc3d \ud835\udc3e \ud835\udc3f \ud835\udc40 \ud835\udc41 \ud835\udc42 \ud835\udc43 \ud835\udc44 \ud835\udc45 \ud835\udc46 \ud835\udc47 \ud835\udc48 \ud835\udc49 \ud835\udc4a \ud835\udc4b \ud835\udc4c \ud835\udc4d".split(" ");
  this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
  this.smallLatinScript="\ud835\udcb6 \ud835\udcb7 \ud835\udcb8 \ud835\udcb9 \u212f \ud835\udcbb \u210a \ud835\udcbd \ud835\udcbe \ud835\udcbf \ud835\udcc0 \ud835\udcc1 \ud835\udcc2 \ud835\udcc3 \u2134 \ud835\udcc5 \ud835\udcc6 \ud835\udcc7 \ud835\udcc8 \ud835\udcc9 \ud835\udcca \ud835\udccb \ud835\udccc \ud835\udccd \ud835\udcce \ud835\udccf \u2113".split(" ");this.capitalLatinBoldScript="\ud835\udcd0 \ud835\udcd1 \ud835\udcd2 \ud835\udcd3 \ud835\udcd4 \ud835\udcd5 \ud835\udcd6 \ud835\udcd7 \ud835\udcd8 \ud835\udcd9 \ud835\udcda \ud835\udcdb \ud835\udcdc \ud835\udcdd \ud835\udcde \ud835\udcdf \ud835\udce0 \ud835\udce1 \ud835\udce2 \ud835\udce3 \ud835\udce4 \ud835\udce5 \ud835\udce6 \ud835\udce7 \ud835\udce8 \ud835\udce9".split(" ");
  this.smallLatinBoldScript="\ud835\udcea \ud835\udceb \ud835\udcec \ud835\udced \ud835\udcee \ud835\udcef \ud835\udcf0 \ud835\udcf1 \ud835\udcf2 \ud835\udcf3 \ud835\udcf4 \ud835\udcf5 \ud835\udcf6 \ud835\udcf7 \ud835\udcf8 \ud835\udcf9 \ud835\udcfa \ud835\udcfb \ud835\udcfc \ud835\udcfd \ud835\udcfe \ud835\udcff \ud835\udd00 \ud835\udd01 \ud835\udd02 \ud835\udd03".split(" ");this.capitalLatinFraktur="\ud835\udd04 \ud835\udd05 \u212d \ud835\udd07 \ud835\udd08 \ud835\udd09 \ud835\udd0a \u210c \u2111 \ud835\udd0d \ud835\udd0e \ud835\udd0f \ud835\udd10 \ud835\udd11 \ud835\udd12 \ud835\udd13 \ud835\udd14 \u211c \ud835\udd16 \ud835\udd17 \ud835\udd18 \ud835\udd19 \ud835\udd1a \ud835\udd1b \ud835\udd1c \u2128".split(" ");
  this.smallLatinFraktur="\ud835\udd1e \ud835\udd1f \ud835\udd20 \ud835\udd21 \ud835\udd22 \ud835\udd23 \ud835\udd24 \ud835\udd25 \ud835\udd26 \ud835\udd27 \ud835\udd28 \ud835\udd29 \ud835\udd2a \ud835\udd2b \ud835\udd2c \ud835\udd2d \ud835\udd2e \ud835\udd2f \ud835\udd30 \ud835\udd31 \ud835\udd32 \ud835\udd33 \ud835\udd34 \ud835\udd35 \ud835\udd36 \ud835\udd37".split(" ");this.capitalLatinDoubleStruck="\ud835\udd38 \ud835\udd39 \u2102 \ud835\udd3b \ud835\udd3c \ud835\udd3d \ud835\udd3e \u210d \ud835\udd40 \ud835\udd41 \ud835\udd42 \ud835\udd43 \ud835\udd44 \u2115 \ud835\udd46 \u2119 \u211a \u211d \ud835\udd4a \ud835\udd4b \ud835\udd4c \ud835\udd4d \ud835\udd4e \ud835\udd4f \ud835\udd50 \u2124".split(" ");
  this.smallLatinDoubleStruck="\ud835\udd52 \ud835\udd53 \ud835\udd54 \ud835\udd55 \ud835\udd56 \ud835\udd57 \ud835\udd58 \ud835\udd59 \ud835\udd5a \ud835\udd5b \ud835\udd5c \ud835\udd5d \ud835\udd5e \ud835\udd5f \ud835\udd60 \ud835\udd61 \ud835\udd62 \ud835\udd63 \ud835\udd64 \ud835\udd65 \ud835\udd66 \ud835\udd67 \ud835\udd68 \ud835\udd69 \ud835\udd6a \ud835\udd6b".split(" ");this.capitalLatinBoldFraktur="\ud835\udd6c \ud835\udd6d \ud835\udd6e \ud835\udd6f \ud835\udd70 \ud835\udd71 \ud835\udd72 \ud835\udd73 \ud835\udd74 \ud835\udd75 \ud835\udd76 \ud835\udd77 \ud835\udd78 \ud835\udd79 \ud835\udd7a \ud835\udd7b \ud835\udd7c \ud835\udd7d \ud835\udd7e \ud835\udd7f \ud835\udd80 \ud835\udd81 \ud835\udd82 \ud835\udd83 \ud835\udd84 \ud835\udd85".split(" ");
  this.smallLatinBoldFraktur="\ud835\udd86 \ud835\udd87 \ud835\udd88 \ud835\udd89 \ud835\udd8a \ud835\udd8b \ud835\udd8c \ud835\udd8d \ud835\udd8e \ud835\udd8f \ud835\udd90 \ud835\udd91 \ud835\udd92 \ud835\udd93 \ud835\udd94 \ud835\udd95 \ud835\udd96 \ud835\udd97 \ud835\udd98 \ud835\udd99 \ud835\udd9a \ud835\udd9b \ud835\udd9c \ud835\udd9d \ud835\udd9e \ud835\udd9f".split(" ");this.capitalLatinSansSerif="\ud835\udda0 \ud835\udda1 \ud835\udda2 \ud835\udda3 \ud835\udda4 \ud835\udda5 \ud835\udda6 \ud835\udda7 \ud835\udda8 \ud835\udda9 \ud835\uddaa \ud835\uddab \ud835\uddac \ud835\uddad \ud835\uddae \ud835\uddaf \ud835\uddb0 \ud835\uddb1 \ud835\uddb2 \ud835\uddb3 \ud835\uddb4 \ud835\uddb5 \ud835\uddb6 \ud835\uddb7 \ud835\uddb8 \ud835\uddb9".split(" ");
  this.smallLatinSansSerif="\ud835\uddba \ud835\uddbb \ud835\uddbc \ud835\uddbd \ud835\uddbe \ud835\uddbf \ud835\uddc0 \ud835\uddc1 \ud835\uddc2 \ud835\uddc3 \ud835\uddc4 \ud835\uddc5 \ud835\uddc6 \ud835\uddc7 \ud835\uddc8 \ud835\uddc9 \ud835\uddca \ud835\uddcb \ud835\uddcc \ud835\uddcd \ud835\uddce \ud835\uddcf \ud835\uddd0 \ud835\uddd1 \ud835\uddd2 \ud835\uddd3".split(" ");this.capitalLatinSansSerifBold="\ud835\uddd4 \ud835\uddd5 \ud835\uddd6 \ud835\uddd7 \ud835\uddd8 \ud835\uddd9 \ud835\uddda \ud835\udddb \ud835\udddc \ud835\udddd \ud835\uddde \ud835\udddf \ud835\udde0 \ud835\udde1 \ud835\udde2 \ud835\udde3 \ud835\udde4 \ud835\udde5 \ud835\udde6 \ud835\udde7 \ud835\udde8 \ud835\udde9 \ud835\uddea \ud835\uddeb \ud835\uddec \ud835\udded".split(" ");
  this.smallLatinSansSerifBold="\ud835\uddee \ud835\uddef \ud835\uddf0 \ud835\uddf1 \ud835\uddf2 \ud835\uddf3 \ud835\uddf4 \ud835\uddf5 \ud835\uddf6 \ud835\uddf7 \ud835\uddf8 \ud835\uddf9 \ud835\uddfa \ud835\uddfb \ud835\uddfc \ud835\uddfd \ud835\uddfe \ud835\uddff \ud835\ude00 \ud835\ude01 \ud835\ude02 \ud835\ude03 \ud835\ude04 \ud835\ude05 \ud835\ude06 \ud835\ude07".split(" ");this.capitalLatinSansSerifItalic="\ud835\ude08 \ud835\ude09 \ud835\ude0a \ud835\ude0b \ud835\ude0c \ud835\ude0d \ud835\ude0e \ud835\ude0f \ud835\ude10 \ud835\ude11 \ud835\ude12 \ud835\ude13 \ud835\ude14 \ud835\ude15 \ud835\ude16 \ud835\ude17 \ud835\ude18 \ud835\ude19 \ud835\ude1a \ud835\ude1b \ud835\ude1c \ud835\ude1d \ud835\ude1e \ud835\ude1f \ud835\ude20 \ud835\ude21".split(" ");
  this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
  this.smallLatinMonospace="\ud835\ude8a \ud835\ude8b \ud835\ude8c \ud835\ude8d \ud835\ude8e \ud835\ude8f \ud835\ude90 \ud835\ude91 \ud835\ude92 \ud835\ude93 \ud835\ude94 \ud835\ude95 \ud835\ude96 \ud835\ude97 \ud835\ude98 \ud835\ude99 \ud835\ude9a \ud835\ude9b \ud835\ude9c \ud835\ude9d \ud835\ude9e \ud835\ude9f \ud835\udea0 \ud835\udea1 \ud835\udea2 \ud835\udea3".split(" ");this.latinDoubleStruckItalic=["\u2145","\u2146","\u2147","\u2148","\u2149"];this.capitalGreek="\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9".split("");
  this.smallGreek="\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9".split("");this.capitalGreekBold="\ud835\udea8 \ud835\udea9 \ud835\udeaa \ud835\udeab \ud835\udeac \ud835\udead \ud835\udeae \ud835\udeaf \ud835\udeb0 \ud835\udeb1 \ud835\udeb2 \ud835\udeb3 \ud835\udeb4 \ud835\udeb5 \ud835\udeb6 \ud835\udeb7 \ud835\udeb8 \ud835\udeba \ud835\udebb \ud835\udebc \ud835\udebd \ud835\udebe \ud835\udebf \ud835\udec0".split(" ");
  this.smallGreekBold="\ud835\udec2 \ud835\udec3 \ud835\udec4 \ud835\udec5 \ud835\udec6 \ud835\udec7 \ud835\udec8 \ud835\udec9 \ud835\udeca \ud835\udecb \ud835\udecc \ud835\udecd \ud835\udece \ud835\udecf \ud835\uded0 \ud835\uded1 \ud835\uded2 \ud835\uded3 \ud835\uded4 \ud835\uded5 \ud835\uded6 \ud835\uded7 \ud835\uded8 \ud835\uded9 \ud835\udeda".split(" ");this.capitalGreekItalic="\ud835\udee2 \ud835\udee3 \ud835\udee4 \ud835\udee5 \ud835\udee6 \ud835\udee7 \ud835\udee8 \ud835\udee9 \ud835\udeea \ud835\udeeb \ud835\udeec \ud835\udeed \ud835\udeee \ud835\udeef \ud835\udef0 \ud835\udef1 \ud835\udef2 \ud835\udef4 \ud835\udef5 \ud835\udef6 \ud835\udef7 \ud835\udef8 \ud835\udef9 \ud835\udefa".split(" ");
  this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
  this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
  this.greekSpecialBold="\ud835\udedc \ud835\udedd \ud835\udede \ud835\udedf \ud835\udee0 \ud835\udee1".split(" ");this.greekSpecialItalic="\ud835\udf16 \ud835\udf17 \ud835\udf18 \ud835\udf19 \ud835\udf1a \ud835\udf1b".split(" ");this.greekSpecialSansSerifBold="\ud835\udf8a \ud835\udf8b \ud835\udf8c \ud835\udf8d \ud835\udf8e \ud835\udf8f".split(" ");this.hebrewLetters=["\u2135","\u2136","\u2137","\u2138"];this.allLetters=this.capitalLatin.concat(this.smallLatin,this.capitalLatinFullWidth,this.smallLatinFullWidth,
  this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,
  this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");
  this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");
  this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
  this.relations=[];this.arrows="\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cd\u21ce\u21cf\u21d0\u21d1\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u2301\u2303\u2304\u2324\u238b\u2794\u2798\u2799\u279a\u279b\u279c\u279d\u279e\u279f\u27a0\u27a1\u27a2\u27a3\u27a4\u27a5\u27a6\u27a7\u27a8\u27a9\u27aa\u27ab\u27ac\u27ad\u27ae\u27af\u27b1\u27b2\u27b3\u27b4\u27b5\u27b6\u27b7\u27b8\u27b9\u27ba\u27bb\u27bc\u27bd\u27be\u27f0\u27f1\u27f2\u27f3\u27f4\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u29b3\u29b4\u29bd\u29ea\u29ec\u29ed\u2a17\u2b00\u2b01\u2b02\u2b03\u2b04\u2b05\u2b06\u2b07\u2b08\u2b09\u2b0a\u2b0b\u2b0c\u2b0d\u2b0e\u2b0f\u2b10\u2b11\u2b30\u2b31\u2b32\u2b33\u2b34\u2b35\u2b36\u2b37\u2b38\u2b39\u2b3a\u2b3b\u2b3c\u2b3d\u2b3e\u2b3f\u2b40\u2b41\u2b42\u2b43\u2b44\u2b45\u2b46\u2b47\u2b48\u2b49\u2b4a\u2b4b\u2b4c\uffe9\uffea\uffeb\uffec\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21cb\u21cc\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u297c\u297d\u297e\u297f".split("");
  this.sumOps="\u2140\u220f\u2210\u2211\u22c0\u22c1\u22c2\u22c3\u2a00\u2a01\u2a02\u2a03\u2a04\u2a05\u2a06\u2a07\u2a08\u2a09\u2a0a\u2a0b\u2afc\u2aff".split("");this.intOps="\u222b\u222c\u222d\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c".split("");this.prefixOps="\u2200\u2203\u2206\u2207\u2202\u2201\u2204".split("");this.prefixOpsBold=["\ud835\udec1","\ud835\udedb","\ud835\udfca","\ud835\udfcb"];this.prefixOpsItalic=
  ["\ud835\udefb","\ud835\udf15"];this.prefixOpsSansSerifBold=["\ud835\udf6f","\ud835\udf89"];this.operatorBits="\u2320\u2321\u23b6\u23aa\u23ae\u23af\u23b2\u23b3\u23b7".split("");this.digitsNormal="0123456789".split("");this.digitsFullWidth="\uff10\uff11\uff12\uff13\uff14\uff15\uff16\uff17\uff18\uff19".split("");this.digitsBold="\ud835\udfce \ud835\udfcf \ud835\udfd0 \ud835\udfd1 \ud835\udfd2 \ud835\udfd3 \ud835\udfd4 \ud835\udfd5 \ud835\udfd6 \ud835\udfd7".split(" ");this.digitsDoubleStruck="\ud835\udfd8 \ud835\udfd9 \ud835\udfda \ud835\udfdb \ud835\udfdc \ud835\udfdd \ud835\udfde \ud835\udfdf \ud835\udfe0 \ud835\udfe1".split(" ");
  this.digitsSansSerif="\ud835\udfe2 \ud835\udfe3 \ud835\udfe4 \ud835\udfe5 \ud835\udfe6 \ud835\udfe7 \ud835\udfe8 \ud835\udfe9 \ud835\udfea \ud835\udfeb".split(" ");this.digitsSansSerifBold="\ud835\udfec \ud835\udfed \ud835\udfee \ud835\udfef \ud835\udff0 \ud835\udff1 \ud835\udff2 \ud835\udff3 \ud835\udff4 \ud835\udff5".split(" ");this.digitsMonospace="\ud835\udff6 \ud835\udff7 \ud835\udff8 \ud835\udff9 \ud835\udffa \ud835\udffb \ud835\udffc \ud835\udffd \ud835\udffe \ud835\udfff".split(" ");this.digitsSuperscript=
  "\u00b2\u00b3\u00b9\u2070\u2074\u2075\u2076\u2077\u2078\u2079".split("");this.digitsSubscript="\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089".split("");this.fractions="\u00bc\u00bd\u00be\u2150\u2151\u2152\u2153\u2154\u2155\u2156\u2157\u2158\u2159\u215a\u215b\u215c\u215d\u215e\u215f\u2189".split("");this.enclosedNumbers="\u2460\u2461\u2462\u2463\u2464\u2465\u2466\u2467\u2468\u2469\u246a\u246b\u246c\u246d\u246e\u246f\u2470\u2471\u2472\u2473\u24ea\u24eb\u24ec\u24ed\u24ee\u24ef\u24f0\u24f1\u24f2\u24f3\u24f4\u24f5\u24f6\u24f7\u24f8\u24f9\u24fa\u24fb\u24fc\u24fd\u24fe\u24ff\u2776\u2777\u2778\u2779\u277a\u277b\u277c\u277d\u277e\u277f\u2780\u2781\u2782\u2783\u2784\u2785\u2786\u2787\u2788\u2789\u278a\u278b\u278c\u278d\u278e\u278f\u2790\u2791\u2792\u2793\u3248\u3249\u324a\u324b\u324c\u324d\u324e\u324f\u3251\u3252\u3253\u3254\u3255\u3256\u3257\u3258\u3259\u325a\u325b\u325c\u325d\u325e\u325f\u32b1\u32b2\u32b3\u32b4\u32b5\u32b6\u32b7\u32b8\u32b9\u32ba\u32bb\u32bc\u32bd\u32be\u32bf".split("");
  this.fencedNumbers="\u2474\u2475\u2476\u2477\u2478\u2479\u247a\u247b\u247c\u247d\u247e\u247f\u2480\u2481\u2482\u2483\u2484\u2485\u2486\u2487".split("");this.punctuatedNumbers="\u2488 \u2489 \u248a \u248b \u248c \u248d \u248e \u248f \u2490 \u2491 \u2492 \u2493 \u2494 \u2495 \u2496 \u2497 \u2498 \u2499 \u249a \u249b \ud83c\udd00 \ud83c\udd01 \ud83c\udd02 \ud83c\udd03 \ud83c\udd04 \ud83c\udd05 \ud83c\udd06 \ud83c\udd07 \ud83c\udd08 \ud83c\udd09 \ud83c\udd0a".split(" ");this.digits=this.digitsNormal.concat(this.digitsFullWidth,
  this.digitsBold,this.digitsDoubleStruck,this.digitsSansSerif,this.digitsSansSerifBold,this.digitsMonospace);this.numbers=this.fractions.concat(this.digitsSuperscript,this.digitsSubscript,this.enclosedNumbers,this.fencedNumbers,this.punctuatedNumbers);this.allNumbers=this.digits.concat(this.numbers);this.trigonometricFunctions="cos cot csc sec sin tan arccos arccot arccsc arcsec arcsin arctan".split(" ");this.hyperbolicFunctions="cosh coth csch sech sinh tanh arcosh arcoth arcsch arsech arsinh artanh arccosh arccoth arccsch arcsech arcsinh arctanh".split(" ");
  this.algebraicFunctions="deg det dim hom ker Tr tr".split(" ");this.elementaryFunctions="log ln lg exp expt gcd gcd arg im re Pr".split(" ");this.prefixFunctions=this.trigonometricFunctions.concat(this.hyperbolicFunctions,this.algebraicFunctions,this.elementaryFunctions);this.limitFunctions="inf lim liminf limsup max min sup injlim projlim".split(" ");this.infixFunctions=["mod","rem"];this.symbolSetToSemantic_=[{set:this.generalPunctuations,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.UNKNOWN},
  {set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.PRIME},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,
  role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},
  {set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
  font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
  role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.capitalLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.smallLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},{set:this.capitalLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},
  {set:this.smallLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.capitalLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.smallLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.capitalLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,
  role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.smallLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.capitalLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.smallLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},
  {set:this.capitalLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.smallLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.smallLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,
  role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},
  {set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
  font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,
  role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},
  {set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,
  font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,
  font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},
  {set:this.additions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.prefixOpsBold,
  type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,
  type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},
  {set:this.prefixFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
  sre.SemanticAttr.Type={PUNCTUATION:"punctuation",FENCE:"fence",NUMBER:"number",IDENTIFIER:"identifier",TEXT:"text",OPERATOR:"operator",RELATION:"relation",LARGEOP:"largeop",FUNCTION:"function",ACCENT:"accent",FENCED:"fenced",FRACTION:"fraction",PUNCTUATED:"punctuated",RELSEQ:"relseq",MULTIREL:"multirel",INFIXOP:"infixop",PREFIXOP:"prefixop",POSTFIXOP:"postfixop",APPL:"appl",INTEGRAL:"integral",BIGOP:"bigop",SQRT:"sqrt",ROOT:"root",LIMUPPER:"limupper",LIMLOWER:"limlower",LIMBOTH:"limboth",SUBSCRIPT:"subscript",
  SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",UNKNOWN:"unknown",EMPTY:"empty"};
  sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",VBAR:"vbar",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",OVERACCENT:"overaccent",UNDERACCENT:"underaccent",
  UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",NEGATION:"negation",MULTIOP:"multiop",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",
  MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",BINREL:"binrel",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",UNKNOWN:"unknown",PROTECTED:"protected"};
  sre.SemanticAttr.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",CALIGRAPHIC:"caligraphic",CALIGRAPHICBOLD:"caligraphic-bold",DOUBLESTRUCK:"double-struck",DOUBLESTRUCKITALIC:"double-struck-italic",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",OLDSTYLE:"oldstyle",OLDSTYLEBOLD:"oldstyle-bold",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",
  UNKNOWN:"unknown"};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};
  sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};
  sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
  sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(b){a[b]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
  sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.MathUtil={};sre.MathUtil.isMathmlNodeOfClass_=function(a,b){return-1!=b.indexOf(a.tagName.toUpperCase())};sre.MathUtil.isMathjaxNodeOfClass_=function(a,b){return"SPAN"==a.tagName?a.className.split(" ").some(function(a){return-1!=b.indexOf(a.toUpperCase())}):!1};sre.MathUtil.isMathNodeOfClass_=function(a,b){return a.nodeType==sre.DomUtil.NodeType.ELEMENT_NODE&&(sre.MathUtil.isMathmlNodeOfClass_(a,b)||sre.MathUtil.isMathjaxNodeOfClass_(a,b))};sre.MathUtil.TOKEN_LIST="MI MN MO MTEXT MSPACE MS".split(" ");
  sre.MathUtil.isToken=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TOKEN_LIST)};sre.MathUtil.LAYOUT_LIST="MROW MFRAC MSQRT MROOT MSTYLE MERROR MPADDED MPHANTOM MFENCED MENCLOSE".split(" ");sre.MathUtil.isLayout=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.LAYOUT_LIST)};sre.MathUtil.SCRIPT_LIST="MSUB MSUP MSUBSUP MUNDER MOVER MUNDEROVER MMULTISCRIPTS MPRESCRIPTS".split(" ");sre.MathUtil.isScript=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.SCRIPT_LIST)};
  sre.MathUtil.TABLES_LIST="MTABLE MLABELEDTR MTR MTD MALIGNGROUP MALIGNMARK".split(" ");sre.MathUtil.isTables=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TABLES_LIST)};sre.MathUtil.ELEMENTARY_LIST="MSTACK MLONGDIV MSGROUP MSROW MSCARRIES MSCARRY MSLINE".split(" ");sre.MathUtil.isElementary=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.ELEMENTARY_LIST)};
  sre.MathUtil.MATHML_TAG_LIST=[sre.MathUtil.TOKEN_LIST,sre.MathUtil.LAYOUT_LIST,sre.MathUtil.SCRIPT_LIST,sre.MathUtil.TABLES_LIST,sre.MathUtil.ELEMENTARY_LIST].reduce(function(a,b){return a.concat(b)});sre.MathUtil.isMathmlTag=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.MATHML_TAG_LIST)};sre.MathUtil.WHITESPACE_LIST=["MSROW","MROW","MSPACE","MPHANTOM","MPADDED"];sre.MathUtil.isWhitespace=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.WHITESPACE_LIST)};
  sre.MathUtil.isNotWhitespace=function(a){return sre.MathUtil.isMathmlTag(a)&&!sre.MathUtil.isWhitespace(a)};sre.MathUtil.nextSeparatorFunction=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(a){return a})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[]};sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};
  sre.SemanticNode.prototype.xml=function(a,b){var c=function(c,d){for(var e=d.map(function(c){return c.xml(a,b)}),f=a.createElement(c),k=0,l;l=e[k];k++)f.appendChild(l);return f},d=a.createElement(this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c("content",this.contentNodes));0<this.childNodes.length&&d.appendChild(c("children",this.childNodes));return d};
  sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("","text/xml");return b.serializeToString(this.xml(c,a))};
  sre.SemanticNode.prototype.xmlAttributes_=function(a){a.setAttribute("role",this.role);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.setAttribute("font",this.font);this.embellished&&a.setAttribute("embellished",this.embellished);this.fencePointer&&a.setAttribute("fencepointer",this.fencePointer);a.setAttribute("id",this.id)};
  sre.SemanticNode.prototype.updateContent=function(a){var b=a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};
  sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;var c=a.mathml.filter(function(a){return-1==b.mathml.indexOf(a)}),d=b.mathml.filter(function(b){return-1==a.mathml.indexOf(b)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};
  sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
  sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};
  sre.SemanticNode.prototype.displayTree=function(a){a++;var b=Array(a).join("  ");console.log(b+this.toString());console.log(b+"MathmlTree:");console.log(b+this.mathmlTreeString_());console.log(b+"MathML:");for(var c=0,d;d=this.mathml[c];c++)console.log(b+d.toString());console.log(b+"Begin Content");this.contentNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Content");console.log(b+"Begin Children");this.childNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Children")};
  sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNodeFactory=function(){this.idCounter_=0};sre.SemanticNodeFactory.prototype.createNode_=function(){return new sre.SemanticNode(this.idCounter_++)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};
  sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();var c=this.makeContentNode(a);c.font=b||c.font;return c};
  sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(a){a.parent=e;e.addMathmlNodes(a.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};
  sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];var d;a:switch(a){case "role":d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
  sre.SemanticPred.isAccent=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","UNKNOWN")(a)&&!a.textContent.match(new RegExp(sre.SemanticAttr.getInstance().allLetters.join("|")))};
  sre.SemanticPred.isSimpleFunction=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
  sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};
  sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};
  sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
  sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(a){return a.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[4]))||sre.SemanticPred.isAttribute("role",
  "CLOSE")(a)&&sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("role","OPEN")(a)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(a)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(a))?!1:b(a.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
  sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};
  sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(a){return 1>=a.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
  sre.SemanticPred.isLimitBase=function(a){return sre.SemanticPred.isAttribute("type","LARGEOP")(a)||sre.SemanticPred.isAttribute("type","LIMBOTH")(a)||sre.SemanticPred.isAttribute("type","LIMLOWER")(a)||sre.SemanticPred.isAttribute("type","LIMUPPER")(a)||sre.SemanticPred.isAttribute("type","FUNCTION")(a)&&sre.SemanticPred.isAttribute("role","LIMFUNC")(a)};
  sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&a[c].type===sre.SemanticAttr.Type.PUNCTUATION&&a[c]===b[0]};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
  sre.SemanticProcessor.prototype.identifierNode=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);if("MathML-Unit"===c)a.type=sre.SemanticAttr.Type.IDENTIFIER,a.role=sre.SemanticAttr.Role.UNIT;else if(!b&&1===a.textContent.length&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER)&&a.font===sre.SemanticAttr.Font.NORMAL)return a.font=sre.SemanticAttr.Font.ITALIC,a;a.type===sre.SemanticAttr.Type.UNKNOWN&&
  (a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};
  sre.SemanticProcessor.prototype.implicitNode_=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);if(1===a.length)return a[0];var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(a){a.parent=c});c.contentNodes=b;return c};
  sre.SemanticProcessor.prototype.infixNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);c.role=b.role;return c};
  sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
  sre.SemanticProcessor.prototype.prefixNode_=function(a,b){for(var c=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION")),d=sre.SemanticProcessor.getInstance().concatNode_(a,c.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);0<c.rel.length;)d=sre.SemanticProcessor.getInstance().concatNode_(d,[c.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),d.role=sre.SemanticAttr.Role.NEGATIVE,d=sre.SemanticProcessor.getInstance().concatNode_(d,c.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);
  return d};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};sre.SemanticProcessor.prototype.text=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);a.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(a.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(a);return a};
  sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
  sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return!sre.SemanticPred.isAttribute("role","UNIT")(a)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift();1===c.length&&(a=a.concat(c));if(1<c.length){var e=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(c,e);c.role=sre.SemanticAttr.Role.UNIT;a.push(c)}d&&
  a.push(d)}while(d);return a};
  sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isAttribute("type","FRACTION")(a)&&sre.SemanticPred.isAttribute("role","VULGAR")(a)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
  d],[]),d.role=sre.SemanticAttr.Role.MIXED,a=a.concat(e.slice(0,f))):a=a.concat(e);a.push(d)}return a.concat(b.comp[b.comp.length-1])};
  sre.SemanticProcessor.prototype.getTextInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isAttribute("type","TEXT"));if(0===b.rel.length)return a;a=[];var c=b.comp[0];0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;c=b.rel[d];d++)a.push(c),c=b.comp[d+1],0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().dummyNode_(a)]};
  sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(a){return!a.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(a){return a.role===
  c.role})&&(a.role=c.role),a;a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.RELSEQ,a,b.rel,sre.SemanticProcessor.getEmbellishedInner_(c).textContent);a.role=c.role;return a};
  sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
  b);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div):b};
  sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
  d);b=sre.SemanticProcessor.getInstance().appendOperand_(b,c,d);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div,[]):b};
  sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){return a.type!==sre.SemanticAttr.Type.INFIXOP?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
  sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(a.role===sre.SemanticAttr.Role.IMPLICIT)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP;)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
  sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return a&&a.type===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c):!1};
  sre.SemanticProcessor.prototype.getFencesInRow_=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isFence);a=sre.SemanticProcessor.purgeFences_(a);var b=a.comp.shift();return sre.SemanticProcessor.getInstance().fences_(a.rel,a.comp,[],[b])};
  sre.SemanticProcessor.prototype.fences_=function(a,b,c,d){if(0===a.length&&0===c.length)return d[0];var e=sre.SemanticPred.isAttribute("role","OPEN");if(0===a.length){for(a=d.shift();0<c.length;){if(e(c[0]))b=c.shift(),sre.SemanticProcessor.fenceToPunct_(b),a.push(b);else{c=sre.SemanticProcessor.sliceNodes_(c,e);var f=c.head.length-1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.head,d.slice(0,f));d=d.slice(f);a.push.apply(a,g);c.div&&c.tail.unshift(c.div);c=c.tail}a.push.apply(a,d.shift())}return a}f=
  c[c.length-1];g=a[0].role;if(g===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&(!f||a[0].textContent!==f.textContent))return c.push(a.shift()),(e=b.shift())&&d.push(e),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&(g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&a[0].textContent===f.textContent))return e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.pop(),a.shift(),d.pop()),d.push(d.pop().concat([e],
  b.shift())),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.NEUTRAL&&c.some(e))return c=sre.SemanticProcessor.sliceNodes_(c,e,!0),e=d.pop(),f=d.length-c.tail.length+1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.tail,d.slice(f)),d=d.slice(0,f),e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.div,a.shift(),d.pop().concat(g,e)),d.push(d.pop().concat([e],b.shift())),sre.SemanticProcessor.getInstance().fences_(a,
  b,c.head,d);e=a.shift();sre.SemanticProcessor.fenceToPunct_(e);d.push(d.pop().concat([e],b.shift()));return sre.SemanticProcessor.getInstance().fences_(a,b,c,d)};
  sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div){sre.SemanticProcessor.fenceToPunct_(c);var e=b.shift();e.unshift(c);return e.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b))}var f=
  sre.SemanticProcessor.getInstance().combineFencedContent_(c,d.div,d.head,b);return 0<d.tail.length?(e=f.shift(),d=sre.SemanticProcessor.getInstance().neutralFences_(d.tail,f),e.concat(d)):f[0]};
  sre.SemanticProcessor.prototype.combineFencedContent_=function(a,b,c,d){if(0===c.length)return a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,d.shift()),0<d.length?d[0].unshift(a):d=[[a]],d;var e=d.shift(),f=c.length-1,g=d.slice(0,f);d=d.slice(f);f=d.shift();c=sre.SemanticProcessor.getInstance().neutralFences_(c,g);e.push.apply(e,c);e.push.apply(e,f);a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,e);0<d.length?d[0].unshift(a):d=[[a]];return d};
  sre.SemanticProcessor.FENCE_TO_PUNCT_={};sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.NEUTRAL]=sre.SemanticAttr.Role.VBAR;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.OPEN]=sre.SemanticAttr.Role.OPENFENCE;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.CLOSE]=sre.SemanticAttr.Role.CLOSEFENCE;
  sre.SemanticProcessor.fenceToPunct_=function(a){var b=sre.SemanticProcessor.FENCE_TO_PUNCT_[a.role];if(b){for(;a.embellished;)a.embellished=sre.SemanticAttr.Type.PUNCTUATION,a.role=b,a=a.childNodes[0];a.type=sre.SemanticAttr.Type.PUNCTUATION;a.role=b}};
  sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);b.role=a.role===sre.SemanticAttr.Role.OPEN?sre.SemanticAttr.Role.LEFTRIGHT:a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
  sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isPunctuation(a)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(a)});if(0===b.rel.length)return a;a=[];var c=b.comp.shift();0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;0<b.comp.length;)a.push(b.rel[d++]),c=b.comp.shift(),0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().punctuatedNode_(a,
  b.rel)]};
  sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(a){return a.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role","DUMMY"))?
  c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(a){a.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
  sre.SemanticProcessor.MML_TO_LIMIT_={MSUB:sre.SemanticAttr.Type.LIMLOWER,MUNDER:sre.SemanticAttr.Type.LIMLOWER,MSUP:sre.SemanticAttr.Type.LIMUPPER,MOVER:sre.SemanticAttr.Type.LIMUPPER,MSUBSUP:sre.SemanticAttr.Type.LIMBOTH,MUNDEROVER:sre.SemanticAttr.Type.LIMBOTH};
  sre.SemanticProcessor.prototype.limitNode=function(a,b){var c=b[0],d;if(sre.SemanticPred.isLimitBase(c))d=sre.SemanticProcessor.MML_TO_LIMIT_[a];else switch(a){case "MSUB":d=sre.SemanticAttr.Type.SUBSCRIPT;break;case "MSUP":d=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MSUBSUP":var e=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.SUBSCRIPT,[c,b[1]],[]);e.role=sre.SemanticAttr.Role.SUBSUP;b=[e,b[2]];d=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MOVER":d=sre.SemanticAttr.Type.OVERSCORE;
  sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.OVERACCENT);break;case "MUNDER":d=sre.SemanticAttr.Type.UNDERSCORE;sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT);break;default:e=sre.SemanticPred.isAccent(b[1]),d=sre.SemanticPred.isAccent(b[2]),e&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT),d&&(b[2].role=sre.SemanticAttr.Role.OVERACCENT),d&&!e?(e=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.OVERSCORE,[c,b[2]],
  []),b=[e,b[1]],d=sre.SemanticAttr.Type.UNDERSCORE):(e=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.UNDERSCORE,[c,b[1]],[]),b=[e,b[2]],d=sre.SemanticAttr.Type.OVERSCORE),e.role=sre.SemanticAttr.Role.UNDEROVER}d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(d,b,[]);var f=sre.SemanticPred.isEmbellished(c);e&&(e.embellished=f);d.embellished=f;d.role=c.role;return d};
  sre.SemanticProcessor.prototype.getFunctionsInRow_=function(a,b){var c=b||[];if(0===a.length)return c;var d=a.shift(),e=sre.SemanticProcessor.classifyFunction_(d,a);if(!e)return c.push(d),sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,c);var f=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,[]),d=sre.SemanticProcessor.getInstance().getFunctionArgs_(d,f,e);return c.concat(d)};sre.SemanticProcessor.CLASSIFY_FUNCTION_={};
  sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";
  sre.SemanticProcessor.classifyFunction_=function(a,b){if(a.type===sre.SemanticAttr.Type.APPL||a.type===sre.SemanticAttr.Type.BIGOP||a.type===sre.SemanticAttr.Type.INTEGRAL)return"";if(b[0]&&b[0].textContent===sre.SemanticAttr.functionApplication()){b.shift();var c=sre.SemanticAttr.Role.SIMPLEFUNC;if(a.role===sre.SemanticAttr.Role.PREFIXFUNC||a.role===sre.SemanticAttr.Role.LIMFUNC)c=a.role;sre.SemanticProcessor.propagateFunctionRole_(a,c);return"prefix"}return(c=sre.SemanticProcessor.CLASSIFY_FUNCTION_[a.role])?
  c:sre.SemanticPred.isSimpleFunctionHead(a)?"simple":""};sre.SemanticProcessor.propagateFunctionRole_=function(a,b){a&&(sre.SemanticPred.isAttribute("role","SUBSUP")(a)||(a.role=b),sre.SemanticProcessor.propagateFunctionRole_(a.childNodes[0],b))};
  sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);var d=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,d,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED)return a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;case "bigop":d=sre.SemanticProcessor.sliceNodes_(b,
  sre.SemanticPred.isPrefixFunctionBoundary);if(!d.head.length)return b.unshift(a),b;b=sre.SemanticProcessor.getInstance().row(d.head);a="prefix"===c?sre.SemanticProcessor.getInstance().functionNode_(a,b):sre.SemanticProcessor.getInstance().bigOpNode_(a,b);d.div&&d.tail.unshift(d.div);d.tail.unshift(a);return d.tail;default:if(0===b.length)return[a];d=b[0];if(d.type===sre.SemanticAttr.Type.FENCED&&d.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunction(d))return sre.SemanticProcessor.propagateFunctionRole_(a,
  sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;b.unshift(a);return b}};
  sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){var c=b||[];if(0===a.length)return{integrand:c,intvar:null,rest:a};var d=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(d))return{integrand:c,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(d))return{integrand:c,intvar:d,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(d,a[1])){var e=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleComma()),d=sre.SemanticProcessor.getInstance().punctuatedNode_([d,
  e,a[1]],[e]);d.role=sre.SemanticAttr.Role.INTEGRAL;return{integrand:c,intvar:d,rest:a.slice(2)}}c.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,c)};
  sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(a){return sre.SemanticPred.isAttribute("type","FUNCTION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
  [a,b],d,[c])};sre.SemanticProcessor.prototype.bigOpNode_=function(a,b){var c=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.BIGOP,[a,b],c,[])};
  sre.SemanticProcessor.prototype.integralNode_=function(a,b,c){b=b||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();c=c||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();var d=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.INTEGRAL,[a,b,c],d,[])};
  sre.SemanticProcessor.prototype.functionalNode_=function(a,b,c,d){var e=b[0];if(c){var f=c.parent;d.push(c)}a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,d);a.role=e.role;f&&(c.parent=f);return a};sre.SemanticProcessor.getFunctionOp_=function(a,b){if(b(a))return a;for(var c=0,d;d=a.childNodes[c];c++)if(d=sre.SemanticProcessor.getFunctionOp_(d,b))return d;return null};
  sre.SemanticProcessor.prototype.tablesInRow=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.tableIsMatrixOrVector);for(var b=[],c=0,d;d=a.rel[c];c++)b=b.concat(a.comp.shift()),b.push(sre.SemanticProcessor.tableToMatrixOrVector_(d));b=b.concat(a.comp.shift());a=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isTableOrMultiline);b=[];for(c=0;d=a.rel[c];c++){var e=a.comp.shift();sre.SemanticPred.tableIsCases(d,e)&&sre.SemanticProcessor.tableToCases_(d,e.pop());b=b.concat(e);
  b.push(d)}return b.concat(a.comp.shift())};sre.SemanticProcessor.tableToMatrixOrVector_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("type","MULTILINE")(b)?sre.SemanticProcessor.tableToVector_(a):sre.SemanticProcessor.tableToMatrix_(a);a.contentNodes.forEach(goog.bind(b.appendContentNode,b));a=0;for(var c;c=b.childNodes[a];a++)sre.SemanticProcessor.assignRoleToRow_(c,sre.SemanticProcessor.getComponentRoles_(b));b.parent=null;return b};
  sre.SemanticProcessor.tableToVector_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.VECTOR;1===b.childNodes.length?sre.SemanticProcessor.tableToSquare_(a):sre.SemanticProcessor.binomialForm_(b)};sre.SemanticProcessor.binomialForm_=function(a){sre.SemanticPred.isBinomial(a)&&(a.role=sre.SemanticAttr.Role.BINOMIAL,a.childNodes[0].role=sre.SemanticAttr.Role.BINOMIAL,a.childNodes[1].role=sre.SemanticAttr.Role.BINOMIAL)};
  sre.SemanticProcessor.tableToMatrix_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.MATRIX;b.childNodes&&0<b.childNodes.length&&b.childNodes[0].childNodes&&b.childNodes.length===b.childNodes[0].childNodes.length?sre.SemanticProcessor.tableToSquare_(a):b.childNodes&&1===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.ROWVECTOR)};
  sre.SemanticProcessor.tableToSquare_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("role","NEUTRAL")(a)?b.role=sre.SemanticAttr.Role.DETERMINANT:b.role=sre.SemanticAttr.Role.SQUAREMATRIX};sre.SemanticProcessor.getComponentRoles_=function(a){var b=a.role;return b&&b!==sre.SemanticAttr.Role.UNKNOWN?b:sre.SemanticAttr.Role[a.type.toUpperCase()]||sre.SemanticAttr.Role.UNKNOWN};
  sre.SemanticProcessor.tableToCases_=function(a,b){for(var c=0,d;d=a.childNodes[c];c++)sre.SemanticProcessor.assignRoleToRow_(d,sre.SemanticAttr.Role.CASES);a.type=sre.SemanticAttr.Type.CASES;a.appendContentNode(b);sre.SemanticPred.tableIsMultiline(a)&&sre.SemanticProcessor.binomialForm_(a);return a};
  sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);sre.SemanticProcessor.binomialForm_(a)}};
  sre.SemanticProcessor.rowToLine_=function(a,b){var c=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.type=sre.SemanticAttr.Type.LINE,a.role=c,a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(b){b.parent=a}))};
  sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(a){c(a)&&(a.role=b)})}};
  sre.SemanticProcessor.sliceNodes_=function(a,b,c){c&&a.reverse();for(var d=[],e=0,f;f=a[e];e++){if(b(f))return c?{head:a.slice(e+1).reverse(),div:f,tail:d.reverse()}:{head:d,div:f,tail:a.slice(e+1)};d.push(f)}return c?{head:[],div:null,tail:d.reverse()}:{head:d,div:null,tail:[]}};sre.SemanticProcessor.partitionNodes_=function(a,b){var c=a,d=[],e=[];do{var f=sre.SemanticProcessor.sliceNodes_(c,b);e.push(f.head);d.push(f.div);c=f.tail}while(f.div);d.pop();return{rel:d,comp:e}};
  sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.MathUtil.nextSeparatorFunction(c),f=[d.shift()];d.forEach(goog.bind(function(a){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(a)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
  b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
  sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||a.type===sre.SemanticAttr.Type.PUNCTUATION&&a.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||
  a.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(a,b){return a&&b.font&&b.font!==sre.SemanticAttr.Font.UNKNOWN&&b.font!==a?a===sre.SemanticAttr.Font.UNKNOWN?b.font:null:a},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
  sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c){return sre.SemanticUtil.isZeroLength(a)?(a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[c],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[a,c],[]),sre.SemanticProcessor.binomialForm_(c),c):sre.SemanticProcessor.getInstance().fractionNode_(b,c)};
  sre.SemanticProcessor.prototype.fractionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);c.role=c.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","INTEGER")(a)})?sre.SemanticAttr.Role.VULGAR:c.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","UNIT")(a)})?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;return c};
  sre.SemanticProcessor.prototype.tensor=function(a,b,c,d,e){b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.TENSOR,[a,sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.LEFTSUB),sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.LEFTSUPER),sre.SemanticProcessor.getInstance().scriptNode_(d,sre.SemanticAttr.Role.RIGHTSUB),sre.SemanticProcessor.getInstance().scriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER)],[]);b.role=a.role;
  b.embellished=sre.SemanticPred.isEmbellished(a);return b};
  sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)},e=b.filter(d).length,d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
  sre.SemanticProcessor.prototype.scriptNode_=function(a,b,c){switch(a.length){case 0:a=sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();break;case 1:a=a[0];if(c)return a;break;default:a=sre.SemanticProcessor.getInstance().dummyNode_(a)}a.role=b;return a};sre.SemanticProcessor.getEmbellishedInner_=function(a){return a&&a.embellished&&0<a.childNodes.length?sre.SemanticProcessor.getEmbellishedInner_(a.childNodes[0]):a};
  sre.SemanticProcessor.purgeFences_=function(a){var b=a.rel;a=a.comp;for(var c=[],d=[];0<b.length;){var e=b.shift(),f=a.shift();sre.SemanticPred.isElligibleEmbellishedFence(e)?(c.push(e),d.push(f)):(sre.SemanticProcessor.fenceToPunct_(e),f.push(e),f=f.concat(a.shift()),a.unshift(f))}d.push(a.shift());return{rel:c,comp:d}};
  sre.SemanticProcessor.rewriteFencedNode_=function(a){var b=a.contentNodes[1],c=sre.SemanticProcessor.rewriteFence_(a,a.contentNodes[0]);a.contentNodes[0]=c.fence;c=sre.SemanticProcessor.rewriteFence_(c.node,b);a.contentNodes[1]=c.fence;a.contentNodes[0].parent=a;a.contentNodes[1].parent=a;c.node.parent=null;return c.node};
  sre.SemanticProcessor.rewriteFence_=function(a,b){if(!b.embellished)return{node:a,fence:b};var c=b.childNodes[0],d=sre.SemanticProcessor.rewriteFence_(a,c);if(sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(b)||sre.SemanticPred.isAttribute("type","SUBSCRIPT")(b)||sre.SemanticPred.isAttribute("type","TENSOR")(b))return sre.SemanticPred.isAttribute("role","SUBSUP")(b)||(b.role=a.role),c!==d.node&&(b.replaceChild(c,d.node),c.parent=a),sre.SemanticProcessor.propagateFencePointer_(b,c),{node:b,fence:d.fence};
  b.replaceChild(c,d.fence);b.mathmlTree&&-1===b.mathml.indexOf(b.mathmlTree)&&b.mathml.push(b.mathmlTree);return{node:d.node,fence:b}};sre.SemanticProcessor.propagateFencePointer_=function(a,b){a.fencePointer=b.fencePointer||b.id.toString();a.embellished=null};
  sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
  this),MROOT:goog.bind(this.root_,this),MSQRT:goog.bind(this.sqrt_,this),MTABLE:goog.bind(this.table_,this),MLABELEDTR:goog.bind(this.tableLabeledRow_,this),MTR:goog.bind(this.tableRow_,this),MTD:goog.bind(this.tableCell_,this),MS:goog.bind(this.text_,this),MTEXT:goog.bind(this.text_,this),"ANNOTATION-XML":goog.bind(this.text_,this),MI:goog.bind(this.identifier_,this),MN:goog.bind(this.number_,this),MO:goog.bind(this.operator_,this),MFENCED:goog.bind(this.fenced_,this),MENCLOSE:goog.bind(this.enclosed_,
  this),MMULTISCRIPTS:goog.bind(this.multiscripts_,this),ANNOTATION:goog.bind(this.empty_,this),NONE:goog.bind(this.empty_,this),MACTION:goog.bind(this.action_,this)}};goog.inherits(sre.SemanticMathml,sre.SemanticAbstractParser);
  sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c],b=(d?d:this.dummy_)(a,b);if(-1!==["MATH","MROW","MPADDED","MSTYLE"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};sre.SemanticMathml.prototype.parseNodes_=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};
  sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.rows_=function(a,b){b=sre.SemanticUtil.purgeNodes(b);var c=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseNodes_(b));c.mathml.unshift(a);return c};sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(a.getAttribute("linethickness"),this.parse(b[0]),this.parse(b[1]))};
  sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseNodes_(b))};sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};
  sre.SemanticMathml.prototype.sqrt_=function(a,b){var c=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(c)],[])};sre.SemanticMathml.prototype.table_=function(a,b){var c=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseNodes_(b),[]);sre.SemanticProcessor.tableToMultiline(c);return c};
  sre.SemanticMathml.prototype.tableRow_=function(a,b){var c=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b),[]);c.role=sre.SemanticAttr.Role.TABLE;return c};sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);var c=this.parse(b[0]);c.role=sre.SemanticAttr.Role.LABEL;c=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b.slice(1)),[c]);c.role=sre.SemanticAttr.Role.TABLE;return c};
  sre.SemanticMathml.prototype.tableCell_=function(a,b){var c=this.parseNodes_(sre.SemanticUtil.purgeNodes(b)),c=c.length?1===c.length&&sre.SemanticPred.isAttribute("type","EMPTY")(c[0])?c:[sre.SemanticProcessor.getInstance().row(c)]:[],c=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,c,[]);c.role=sre.SemanticAttr.Role.TABLE;return c};
  sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};sre.SemanticMathml.prototype.identifier_=function(a,b){return sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"))};
  sre.SemanticMathml.prototype.number_=function(a,b){var c=this.leaf_(a);sre.SemanticProcessor.number(c);return c};sre.SemanticMathml.prototype.operator_=function(a,b){var c=this.leaf_(a);c.type===sre.SemanticAttr.Type.UNKNOWN&&(c.type=sre.SemanticAttr.Type.OPERATOR);return c};
  sre.SemanticMathml.prototype.fenced_=function(a,b){var c=this.parseNodes_(sre.SemanticUtil.purgeNodes(b)),d=sre.SemanticMathml.getAttribute_(a,"separators",","),e=sre.SemanticMathml.getAttribute_(a,"open","("),f=sre.SemanticMathml.getAttribute_(a,"close",")"),c=sre.SemanticProcessor.getInstance().mfenced(e,f,d,c);return sre.SemanticProcessor.getInstance().tablesInRow([c])[0]};
  sre.SemanticMathml.prototype.enclosed_=function(a,b){var c=this.parseNodes_(sre.SemanticUtil.purgeNodes(b)),c=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(c)],[]);c.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return c};
  sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();var c=this.parse(b.shift());if(!b.length)return c;for(var d=[],e=[],f=[],g=[],h=!1,k=0,l=0,m;m=b[l];l++)"MPRESCRIPTS"===sre.DomUtil.tagName(m)?(h=!0,k=0):(h?k&1?d.push(m):e.push(m):k&1?f.push(m):g.push(m),k++);return sre.SemanticUtil.purgeNodes(d).length||sre.SemanticUtil.purgeNodes(e).length?sre.SemanticProcessor.getInstance().tensor(c,this.parseNodes_(e),this.parseNodes_(d),this.parseNodes_(g),
  this.parseNodes_(f)):sre.SemanticProcessor.getInstance().pseudoTensor(c,this.parseNodes_(g),this.parseNodes_(f))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};
  sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a)};sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(var c=a;c.parent;)c=c.parent;c=sre.SemanticTree.fromNode(c);b&&(c.mathml=b);return c};
  sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree(0)};
  sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
  sre.SemanticSkeleton.prototype.populate_=function(a,b,c){if(sre.SemanticSkeleton.simpleCollapseStructure(a))this.levelsMap[a]=b,this.parents[a]=a===c[0]?c.slice(1):c;else{b=sre.SemanticSkeleton.contentCollapseStructure(a)?a.slice(1):a;c=[b[0]].concat(c);for(var d=0,e=b.length;d<e;d++)this.populate_(b[d],a,c)}};sre.SemanticSkeleton.prototype.toString=function(){return sre.SemanticSkeleton.makeSexp_(this.array)};
  sre.SemanticSkeleton.makeSexp_=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?a.toString():sre.SemanticSkeleton.contentCollapseStructure(a)?"(c "+a.slice(1).map(sre.SemanticSkeleton.makeSexp_).join(" ")+")":"("+a.map(sre.SemanticSkeleton.makeSexp_).join(" ")+")"};sre.SemanticSkeleton.fromTree=function(a){return sre.SemanticSkeleton.fromNode(a.root)};sre.SemanticSkeleton.fromNode=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromNode_(a))};
  sre.SemanticSkeleton.fromString=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromString_(a))};sre.SemanticSkeleton.fromString_=function(a){a=a.replace(/\(/g,"[");a=a.replace(/\)/g,"]");a=a.replace(/ /g,",");a=a.replace(/c/g,'"c"');return JSON.parse(a)};
  sre.SemanticSkeleton.fromNode_=function(a){if(!a)return[];var b=a.contentNodes;if(b.length){var c=b.map(sre.SemanticSkeleton.fromNode_);c.unshift("c")}var d=a.childNodes;if(!d.length)return b.length?[a.id,c]:a.id;d=d.map(sre.SemanticSkeleton.fromNode_);b.length&&d.unshift(c);d.unshift(a.id);return d};sre.SemanticSkeleton.simpleCollapseStructure=function(a){return"number"===typeof a};
  sre.SemanticSkeleton.contentCollapseStructure=function(a){return!!a&&!sre.SemanticSkeleton.simpleCollapseStructure(a)&&"c"===a[0]};sre.SemanticSkeleton.interleaveIds=function(a,b){return sre.BaseUtil.interleaveLists(sre.SemanticSkeleton.collapsedLeafs(a),sre.SemanticSkeleton.collapsedLeafs(b))};
  sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?[a]:sre.SemanticSkeleton.contentCollapseStructure(a[1])?a.slice(2):a.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(a,d){return a.concat(b(d))},[])};sre.EnrichMathml={};sre.EnrichMathml.Error=function(a){Error.call(this);this.message=a||"";this.name="MathML Enrichment Error"};goog.inherits(sre.EnrichMathml.Error,Error);sre.EnrichMathml.SETTINGS={collapsed:!0,implicit:!0};sre.EnrichMathml.ATTRIBUTE_PREFIX_="data-semantic-";
  sre.EnrichMathml.Attribute={ADDED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"added",ALTERNATIVE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"alternative",CHILDREN:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"children",COLLAPSED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"collapsed",CONTENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"content",EMBELLISHED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"embellished",FENCEPOINTER:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"fencepointer",FONT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"font",ID:sre.EnrichMathml.ATTRIBUTE_PREFIX_+
  "id",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
  sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
  sre.EnrichMathml.walkTree=function(a){var b=sre.EnrichCaseFactory.getCase(a);if(b)return b=b.getMathml(),sre.EnrichMathml.ascendNewNode(b);if(1===a.mathml.length)return sre.Debugger.getInstance().output("Walktree Case 0"),b=a.mathml[0],sre.EnrichMathml.setAttributes(b,a),sre.EnrichMathml.ascendNewNode(b);var b=a.contentNodes.map(sre.EnrichMathml.cloneContentNode),c=a.childNodes.map(sre.EnrichMathml.walkTree),c=sre.EnrichMathml.combineContentChildren_(a,b,c),b=a.mathmlTree;if(null===b)sre.Debugger.getInstance().output("Walktree Case 1"),
  b=sre.EnrichMathml.introduceNewLayer(c);else{var d=sre.EnrichMathml.attachedElement_(c);sre.Debugger.getInstance().output("Walktree Case 2");d?(sre.Debugger.getInstance().output("Walktree Case 2.1"),b=d.parentNode):(sre.Debugger.getInstance().output("Walktree Case 2.2"),b=sre.EnrichMathml.getInnerNode(b))}b=sre.EnrichMathml.rewriteMfenced(b);sre.EnrichMathml.mergeChildren_(b,c);sre.EnrichMathml.setAttributes(b,a);return sre.EnrichMathml.ascendNewNode(b)};
  sre.EnrichMathml.introduceNewLayer=function(a){var b=sre.EnrichMathml.mathmlLca_(a),c=b.node,d=b.type;d===sre.EnrichMathml.lcaType.VALID&&sre.SemanticUtil.hasEmptyTag(c)||(sre.Debugger.getInstance().output("Walktree Case 1.1"),c=sre.DomUtil.createElement("mrow"),d===sre.EnrichMathml.lcaType.PRUNED?(sre.Debugger.getInstance().output("Walktree Case 1.1.0"),c=sre.EnrichMathml.introduceLayerAboveLca(c,b.node,a)):a[0]&&(sre.Debugger.getInstance().output("Walktree Case 1.1.1"),b=sre.EnrichMathml.attachedElement_(a),
  a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(a){c.appendChild(a)})));return c};
  sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(b){a.appendChild(b)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(b){a.appendChild(b)});return a};
  sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(a){a=c.indexOf(a);-1!==a&&(d=Math.min(d,a),e=Math.max(e,a))});return c.slice(d,e+1)};
  sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(b){a.appendChild(b)})};
  sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();return a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)?(sre.DomUtil.replaceNode(a,b),!0):!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
  sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};var b=sre.EnrichMathml.pathToRoot_(b),d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(a){return-1!==d.indexOf(a)});var c=a[0],e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
  b.length?sre.EnrichMathml.lcaType.PRUNED:sre.EnrichMathml.validLca_(d[e+1],a[1])?sre.EnrichMathml.lcaType.VALID:sre.EnrichMathml.lcaType.INVALID,node:c}};sre.EnrichMathml.prunePath_=function(a,b){for(var c=0;a[c]&&-1===b.indexOf(a[c]);)c++;return a.slice(0,c+1)};sre.EnrichMathml.attachedElement_=function(a){for(var b=0,c=null;!c&&b<a.length;)a[b].parentNode&&(c=a[b]),b++;return c};
  sre.EnrichMathml.pathToRoot_=function(a,b){for(var c=b||function(a){return!1},d=[a];!c(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),d.unshift(a);return d};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
  sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(a)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
  sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(b){return b===a||sre.SemanticUtil.hasIgnoreTag(b)}):!1};sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){var c=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,c.toString())};
  sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(a){return a.id}).join(",")};
  sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);a.setAttribute(sre.EnrichMathml.Attribute.ROLE,b.role);b.font!=sre.Semantic.Font.UNKNOWN&&a.setAttribute(sre.EnrichMathml.Attribute.FONT,b.font);a.setAttribute(sre.EnrichMathml.Attribute.ID,b.id);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));
  b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,b.parent.id);b.embellished&&a.setAttribute(sre.EnrichMathml.Attribute.EMBELLISHED,b.embellished);b.fencePointer&&a.setAttribute(sre.EnrichMathml.Attribute.FENCEPOINTER,b.fencePointer)};
  sre.EnrichMathml.combineContentChildren_=function(a,b,c){sre.EnrichMathml.setOperatorAttribute_(a,b);switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.PUNCTUATED:if(a.role===sre.Semantic.Role.TEXT)return sre.BaseUtil.interleaveLists(c,
  b);for(var d=[],e=0,f=0,g,h;g=c[e],h=b[f];e++)g.getAttribute(sre.EnrichMathml.Attribute.ID)==h.getAttribute(sre.EnrichMathml.Attribute.ID)&&(f++,d.push(g));sre.EnrichMathml.setOperatorAttribute_(a,d);return c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&c.unshift(b[0]),c;default:return c}};
  sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(a){b.appendChild(a)});sre.DomUtil.replaceNode(a,b);return b};
  sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
  sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;for(var b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(a)}),c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
  sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;console.log(b.tagName);for(var e=0;e<b.childNodes[0].childNodes.length;e++)console.log(b.childNodes[0].childNodes[e].tagName);sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};
  sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.log(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.log(a)};sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.printNodeList__=function(a,b){console.log(a);sre.DomUtil.toArray(b).forEach(function(a){console.log(a.toString())});console.log("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
  sre.CaseBinomial.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.mml=sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);if(this.mml.hasAttribute(sre.EnrichMathml.Attribute.TYPE)){var a=sre.DomUtil.createElement("mrow");a.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");sre.DomUtil.replaceNode(this.mml,a);a.appendChild(this.mml);this.mml=a}sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseDoubleScript=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseDoubleScript,sre.AbstractEnrichCase);sre.CaseDoubleScript.test=function(a){if(!a.mathmlTree||!a.childNodes.length)return!1;var b=sre.DomUtil.tagName(a.mathmlTree);a=a.childNodes[0].role;return"MSUBSUP"===b&&a===sre.SemanticAttr.Role.SUBSUP||"MUNDEROVER"===b&&a===sre.SemanticAttr.Role.UNDEROVER};
  sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.PARENT,
  this.mml.getAttribute(sre.EnrichMathml.Attribute.ID))},this));this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,a.role);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,[a.id,b.id,d.id],c.id]);return this.mml};sre.CaseMultiindex=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseMultiindex,sre.AbstractEnrichCase);
  sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(a){for(var b=0,e;e=a[b];b++){var f=c[d];if(f&&e==sre.EnrichMathml.getInnerNode(f).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(f).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(a){return a.id===e});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
  f||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
  sre.CaseMultiindex.multiscriptIndex=function(a){if(a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.contentNodes[0].role===sre.SemanticAttr.Role.DUMMY){var b=a.parent.id,c=a.contentNodes.map(function(a){return a.id});c.unshift("c");for(var c=[a.id,c],d=0,e;e=a.childNodes[d];d++){var f=sre.EnrichMathml.walkTree(e);sre.EnrichMathml.getInnerNode(f).setAttribute(sre.EnrichMathml.Attribute.PARENT,b);c.push(e.id)}return c}sre.EnrichMathml.walkTree(a);return a.id};sre.CaseMultiscripts=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseMultiscripts,sre.CaseMultiindex);sre.CaseMultiscripts.test=function(a){return a.mathmlTree?"MMULTISCRIPTS"===sre.DomUtil.tagName(a.mathmlTree)&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT):!1};
  sre.CaseMultiscripts.prototype.getMathml=function(){sre.EnrichMathml.setAttributes(this.mml,this.semantic);if(this.semantic.childNodes[0]&&this.semantic.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),d=sre.CaseMultiindex.multiscriptIndex(a.childNodes[1]),e=[this.semantic.id,[a.id,b.id,d],c];sre.EnrichMathml.addCollapsedAttribute(this.mml,e);this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,
  a.role);this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(d,c),[])}else b=this.semantic.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),e=[this.semantic.id,b.id,c],sre.EnrichMathml.addCollapsedAttribute(this.mml,e);a=sre.SemanticSkeleton.collapsedLeafs(d||[],c);c=sre.EnrichMathml.walkTree(b);sre.EnrichMathml.getInnerNode(c).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id);a.unshift(b.id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,
  a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return a.mathmlTree&&a.fencePointer};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
  sre.CaseEmbellished.prototype.getFenced_=function(){for(var a=this.semantic;a.type!==sre.SemanticAttr.Type.FENCED;)a=a.childNodes[0];this.fenced=a.childNodes[0];this.ofence=a.contentNodes[0];this.cfence=a.contentNodes[1];sre.CaseEmbellished.fencedMap_(this.ofence,this.ofenceMap);sre.CaseEmbellished.fencedMap_(this.cfence,this.cfenceMap)};sre.CaseEmbellished.fencedMap_=function(a,b){b[a.id]=a.mathmlTree;a.embellished&&sre.CaseEmbellished.fencedMap_(a.childNodes[0],b)};
  sre.CaseEmbellished.prototype.getFencesMml_=function(){for(var a=this.semantic,b=Object.keys(this.ofenceMap),c=Object.keys(this.cfenceMap);!(this.ofenceMml&&this.cfenceMml||a===this.fenced);)-1===b.indexOf(a.fencePointer)||this.ofenceMml||(this.ofenceMml=a.mathmlTree),-1===c.indexOf(a.fencePointer)||this.cfenceMml||(this.cfenceMml=a.mathmlTree),a=a.childNodes[0];this.ofenceMml||(this.ofenceMml=this.ofence.mathmlTree);this.cfenceMml||(this.cfenceMml=this.cfence.mathmlTree);this.ofenceMml&&(this.ofenceMml=
  sre.EnrichMathml.ascendNewNode(this.ofenceMml));this.cfenceMml&&(this.cfenceMml=sre.EnrichMathml.ascendNewNode(this.cfenceMml))};
  sre.CaseEmbellished.prototype.rewrite_=function(){var a=this.semantic,b=null,c=this.introduceNewLayer_();for(sre.EnrichMathml.setAttributes(c,this.fenced.parent);a.type!==sre.SemanticAttr.Type.FENCED;){var d=a.mathmlTree,e=this.specialCase_(a,d);if(e)a=e;else{sre.EnrichMathml.setAttributes(d,a);for(var e=[],f=1,g;g=a.childNodes[f];f++)e.push(sre.EnrichMathml.walkTree(g));a=a.childNodes[0]}e=sre.DomUtil.createElement("dummy");f=c.parentNode;g=d.childNodes[0];sre.DomUtil.replaceNode(d,e);sre.DomUtil.replaceNode(c,
  d);sre.DomUtil.replaceNode(d.childNodes[0],c);sre.DomUtil.replaceNode(e,g);d.parentNode=f;c=d.childNodes[0];b||(b=d)}sre.EnrichMathml.walkTree(this.ofence);sre.EnrichMathml.walkTree(this.cfence);this.cleanupParents_();return b||c};
  sre.CaseEmbellished.prototype.specialCase_=function(a,b){var c=sre.DomUtil.tagName(b),d=null,e;"MSUBSUP"===c?(d=a.childNodes[0],e=sre.CaseDoubleScript):"MMULTISCRIPTS"===c&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT?e=sre.CaseMultiscripts:a.type===sre.SemanticAttr.Type.TENSOR&&(e=sre.CaseTensor),d=e&&a.childNodes[0]&&a.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP?a.childNodes[0]:a);if(!d)return null;var c=d.childNodes[0],f=sre.CaseEmbellished.makeEmptyNode_(c.id);
  d.childNodes[0]=f;b=(new e(a)).getMathml();d.childNodes[0]=c;this.parentCleanup.push(b);return d.childNodes[0]};sre.CaseEmbellished.makeEmptyNode_=function(a){var b=sre.DomUtil.createElement("mrow");a=new sre.SemanticNode(a);a.type=sre.SemanticAttr.Type.EMPTY;a.mathmlTree=b;return a};
  sre.CaseEmbellished.prototype.introduceNewLayer_=function(){var a=this.fullFence(this.ofenceMml),b=this.fullFence(this.cfenceMml),c=sre.DomUtil.createElement("mrow");sre.DomUtil.replaceNode(this.fencedMml,c);c.appendChild(this.fencedMml);c.insertBefore(a,this.fencedMml);c.appendChild(b);if(!c.parentNode){for(a=sre.DomUtil.createElement("mrow");0<c.childNodes.length;)a.appendChild(c.childNodes[0]);c.appendChild(a);c=a}return c};
  sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
  sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
  sre.CaseTable.prototype.getMathml=function(){var a=sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[0]),b=this.semantic.contentNodes[1]?sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[1]):null;this.inner=this.semantic.childNodes.map(sre.EnrichMathml.walkTree);"MFENCED"===sre.DomUtil.tagName(this.mml)?(this.mml.insertBefore(a,this.mml.childNodes[0]||null),b&&this.mml.appendChild(b),this.mml=sre.EnrichMathml.rewriteMfenced(this.mml)):(a=[a,this.mml],b&&a.push(b),this.mml=sre.EnrichMathml.introduceNewLayer(a));
  sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
  sre.CaseTensor.prototype.getMathml=function(){sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);var a=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),b=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[2]),c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[3]),d=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[4]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,this.semantic.childNodes[0].id,
  a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.EnrichCases=function(){};sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseTable.test,constr:sre.CaseTable});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
  sre.Enrich.testTranslation__=function(a){new sre.EnrichCases;sre.Debugger.getInstance().init();a=sre.Enrich.semanticMathmlSync(sre.Enrich.prepareMmlString(a)).toString();sre.EnrichMathml.removeAttributePrefix(a);sre.Debugger.getInstance().exit();return a};sre.Enrich.prepareMmlString=function(a){a.match(/^<math/)||(a="<math>"+a);a.match(/\/math>$/)||(a+="</math>");return a};sre.ColorPicker=function(a,b){this.foreground=sre.ColorPicker.getChannelColor_(b,sre.ColorPicker.DEFAULT_FOREGROUND_);this.background=sre.ColorPicker.getChannelColor_(a,sre.ColorPicker.DEFAULT_BACKGROUND_)};sre.ColorPicker.DEFAULT_BACKGROUND_="blue";sre.ColorPicker.DEFAULT_FOREGROUND_="black";
  sre.ColorPicker.namedColors_={red:{red:255,green:0,blue:0},green:{red:0,green:255,blue:0},blue:{red:0,green:0,blue:255},yellow:{red:255,green:255,blue:0},cyan:{red:0,green:255,blue:255},magenta:{red:255,green:0,blue:255},white:{red:255,green:255,blue:255},black:{red:0,green:0,blue:0}};sre.ColorPicker.getChannelColor_=function(a,b){var c=a||{color:b},d=c.color?sre.ColorPicker.namedColors_[c.color]:c;d||(d=sre.ColorPicker.namedColors_[b]);d.alpha=c.hasOwnProperty("alpha")?c.alpha:1;return sre.ColorPicker.normalizeColor_(d)};
  sre.ColorPicker.normalizeColor_=function(a){var b=function(a){a=Math.max(a,0);a=Math.min(255,a);return Math.round(a)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(a){return"rgba("+a.red+","+a.green+","+a.blue+","+a.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
  sre.ColorPicker.prototype.rgb=function(){var a=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
  sre.ColorPicker.prototype.hex=function(){var a=function(a){return"#"+sre.ColorPicker.toHex_(a.red)+sre.ColorPicker.toHex_(a.green)+sre.ColorPicker.toHex_(a.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName="";this.state_={}};sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(a){return this.highlightNode(a)},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
  sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(a){return this.unhighlightNode(a)},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};
  sre.AbstractHighlighter.prototype.addEvents=function(a,b){for(var c=this.getMactionNodes(a),d=0,e;e=c[d];d++)for(var f in b)e.addEventListener(f,b[f])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};sre.AbstractHighlighter.prototype.resetState=function(a){delete this.state_[a]};
  sre.AbstractHighlighter.prototype.setState=function(a,b){this.state_[a]=b};sre.AbstractHighlighter.prototype.getState=function(a){return this.state_[a]};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
  sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=document.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
  "-0.05em";e.style.width=d.w+0+"em";e.style.marginLeft=f-0+"em";e.style.marginRight=-d.w-0-f+"em";a.parentNode.insertBefore(e,a);b.box=e}return b};sre.HtmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node;b.style.color=a.foreground;b.style.position=a.position;a.box&&a.box.parentNode.removeChild(a.box)};sre.MmlCssHighlighter=function(){sre.CssHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlCssHighlighter,sre.CssHighlighter);sre.MmlCssHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.MmlCssHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.MmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlHighlighter,sre.AbstractHighlighter);sre.MmlHighlighter.prototype.highlightNode=function(a){var b=a.getAttribute("style"),b=b+(";background-color: "+this.colorString().background),b=b+(";color: "+this.colorString().foreground);a.setAttribute("style",b);return{node:a}};
  sre.MmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node.getAttribute("style"),b=b.replace(";background-color: "+this.colorString().background,""),b=b.replace(";color: "+this.colorString().foreground,"");a.node.setAttribute("style",b)};sre.MmlHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.MmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};
  sre.MmlHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.SvgHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-svg-maction"};goog.inherits(sre.SvgHighlighter,sre.AbstractHighlighter);
  sre.SvgHighlighter.prototype.highlightNode=function(a){if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}var b=document.createElementNS("http://www.w3.org/2000/svg","rect"),c;if("use"===a.nodeName){var d=document.createElementNS("http://www.w3.org/2000/svg","g");a.parentNode.insertBefore(d,a);d.appendChild(a);c=d.getBBox();d.parentNode.replaceChild(a,
  d)}else c=a.getBBox();b.setAttribute("x",c.x-40);b.setAttribute("y",c.y-40);b.setAttribute("width",c.width+80);b.setAttribute("height",c.height+80);(c=a.getAttribute("transform"))&&b.setAttribute("transform",c);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",this.colorString().foreground);return b};
  sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":c.renderer];if(!c)return null;c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&c.addEvents(a,b)};
  sre.HighlighterFactory.highlighterMapping_={SVG:new sre.SvgHighlighter,NativeMML:new sre.MmlHighlighter,"HTML-CSS":new sre.HtmlHighlighter,"MML-CSS":new sre.MmlCssHighlighter,CommonHTML:new sre.CssHighlighter};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[]};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter_=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
  sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter_(b,a[b]);this.stateStack_.push(a)};
  sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter_(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
  sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){var b=sre.Engine.getInstance();return b.evaluator(a,b.dynamicCstr)||a};
  sre.Grammar.prototype.apply=function(a,b){var c=b||{};a=c.adjust||c.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||c.translate)a=sre.Grammar.translateString_(a);return a=c.adjust||c.correct?sre.Grammar.getInstance().correct(a):a};sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};
  sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;var c=b.split(/ |-/),c=new RegExp("^"+c.join("( |-)")+"( |-)");return a.replace(c,"")};sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);
  sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
  sre.SpeechRule.Type.fromString=function(a){switch(a){case "[n]":return sre.SpeechRule.Type.NODE;case "[m]":return sre.SpeechRule.Type.MULTI;case "[t]":return sre.SpeechRule.Type.TEXT;case "[p]":return sre.SpeechRule.Type.PERSONALITY;default:throw"Parse error: "+a;}};
  sre.SpeechRule.Type.toString=function(a){switch(a){case sre.SpeechRule.Type.NODE:return"[n]";case sre.SpeechRule.Type.MULTI:return"[m]";case sre.SpeechRule.Type.TEXT:return"[t]";case sre.SpeechRule.Type.PERSONALITY:return"[p]";default:throw"Unknown type error: "+a;}};sre.SpeechRule.Component=function(a){this.type=a.type;this.content=a.content;this.attributes=a.attributes;this.grammar=a.grammar};
  sre.SpeechRule.Component.fromString=function(a){var b={};b.type=sre.SpeechRule.Type.fromString(a.substring(0,3));a=a.slice(3).trim();if(!a)throw new sre.SpeechRule.OutputError("Missing content.");switch(b.type){case sre.SpeechRule.Type.TEXT:if('"'==a[0]){var c=sre.SpeechRule.splitString_(a,"\\(")[0].trim();if('"'!=c.slice(-1))throw new sre.SpeechRule.OutputError("Invalid string syntax.");b.content=c;a=a.slice(c.length).trim();-1==a.indexOf("(")&&(a="");break}case sre.SpeechRule.Type.NODE:case sre.SpeechRule.Type.MULTI:c=
  a.indexOf(" ("),-1==c?(b.content=a.trim(),a=""):(b.content=a.substring(0,c).trim(),a=a.slice(c).trim())}a&&(a=sre.SpeechRule.Component.attributesFromString(a),a.grammar&&(b.grammar=a.grammar,delete a.grammar),Object.keys(a).length&&(b.attributes=a));return b=new sre.SpeechRule.Component(b)};sre.SpeechRule.Component.prototype.toString=function(){var a;a=""+sre.SpeechRule.Type.toString(this.type);a+=this.content?" "+this.content:"";var b=this.attributesToString();return a+(b?" "+b:"")};
  sre.SpeechRule.Component.grammarFromString=function(a){return sre.Grammar.parseInput(a)};sre.SpeechRule.Component.prototype.grammarToString=function(){return this.getGrammar().join(":")};sre.SpeechRule.Component.prototype.getGrammar=function(){var a=[],b;for(b in this.grammar)!0===this.grammar[b]?a.push(b):!1===this.grammar[b]?a.push("!"+b):a.push(b+"="+this.grammar[b]);return a};
  sre.SpeechRule.Component.attributesFromString=function(a){if("("!=a[0]||")"!=a.slice(-1))throw new sre.SpeechRule.OutputError("Invalid attribute expression: "+a);var b={};a=sre.SpeechRule.splitString_(a.slice(1,-1),",");for(var c=0,d=a.length;c<d;c++){var e=a[c],f=e.indexOf(":");if(-1==f)b[e.trim()]="true";else{var g=e.substring(0,f).trim(),e=e.slice(f+1).trim();b[g]="grammar"===g?sre.SpeechRule.Component.grammarFromString(e):b[g]=e}}return b};
  sre.SpeechRule.Component.prototype.attributesToString=function(){var a=this.getAttributes(),b=this.grammarToString();b&&a.push("grammar:"+b);return 0<a.length?"("+a.join(", ")+")":""};sre.SpeechRule.Component.prototype.getAttributes=function(){var a=[],b;for(b in this.attributes){var c=this.attributes[b];"true"===c?a.push(b):a.push(b+":"+c)}return a};sre.SpeechRule.Action=function(a){this.components=a};
  sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(a){return a.match(/\S/)}).map(function(a){return a.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
  sre.SpeechRule.Precondition.prototype.toString=function(){var a=this.constraints.join(", ");return this.query+", "+a};
  sre.SpeechRule.splitString_=function(a,b){for(var c=[],d="";""!=a;){var e=a.search(b);if(-1==e){if(0!=(a.match(/"/g)||[]).length%2)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);c.push(d+a);a=d=""}else if(0==(a.substring(0,e).match(/"/g)||[]).length%2)c.push(d+a.substring(0,e)),d="",a=a.substring(e+1);else{var f=a.substring(e).search('"');if(-1==f)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);d+=a.substring(0,e+f+1);a=a.substring(e+f+1)}}d&&c.push(d);
  return c};sre.SpeechRule.OutputError=function(a){Error.call(this);this.message=a||"";this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,Error);sre.SpeechRuleEvaluator=goog.abstractMethod;sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
  sre.SpeechRuleFunctions.CustomQueries=function(){sre.SpeechRuleFunctions.Store_.call(this,"CQF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomQueries,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.CustomStrings=function(){sre.SpeechRuleFunctions.Store_.call(this,"CSF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomStrings,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.ContextFunctions=function(){sre.SpeechRuleFunctions.Store_.call(this,"CTXF",{})};
  goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.log("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleStore=goog.abstractMethod;sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.getTest=function(){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint_=a;this.test_=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint_};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.getTest=function(){return this.test_};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
  sre.AbstractTrieNode.prototype.getChild=function(a){return this.children_[a]};sre.AbstractTrieNode.prototype.getChildren=function(){var a=[],b;for(b in this.children_)a.push(this.children_[b]);return a};sre.AbstractTrieNode.prototype.findChildren=function(a){var b=[],c;for(c in this.children_){var d=this.children_[c];d.getTest()(a)&&b.push(d)}return b};sre.AbstractTrieNode.prototype.toString=function(){return this.constraint_};
  sre.StaticTrieNode=function(a,b){sre.AbstractTrieNode.call(this,a,b);this.kind=sre.TrieNode.Kind.STATIC;this.rule_=null};goog.inherits(sre.StaticTrieNode,sre.AbstractTrieNode);sre.StaticTrieNode.prototype.getRule=function(){return this.rule_};sre.StaticTrieNode.prototype.setRule=function(a){this.rule_&&sre.Debugger.getInstance().output("Replacing rule "+this.rule_+" with "+a);this.rule_=a};
  sre.StaticTrieNode.prototype.toString=function(){return this.getRule()?this.constraint_+"\n==> "+this.getRule().action:this.constraint_};sre.TrieNodeFactory={};sre.TrieNodeFactory.getNode=function(a,b,c){switch(a){case sre.TrieNode.Kind.ROOT:return new sre.RootTrieNode;case sre.TrieNode.Kind.DYNAMIC:return new sre.DynamicTrieNode(b);case sre.TrieNode.Kind.QUERY:return new sre.QueryTrieNode(b,c);case sre.TrieNode.Kind.BOOLEAN:return new sre.BooleanTrieNode(b,c);default:return null}};sre.RootTrieNode=function(){sre.AbstractTrieNode.call(this,"",function(){return!0});this.kind=sre.TrieNode.Kind.ROOT};goog.inherits(sre.RootTrieNode,sre.AbstractTrieNode);
  sre.DynamicTrieNode=function(a){sre.AbstractTrieNode.call(this,a,function(b){return b===a});this.kind=sre.TrieNode.Kind.DYNAMIC};goog.inherits(sre.DynamicTrieNode,sre.AbstractTrieNode);
  sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(a){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(a){return a.tagName&&sre.DomUtil.tagName(a)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(a){return a.localName&&a.localName.toUpperCase()===b&&a.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(a){return a.hasAttribute&&
  a.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");var d=a[0].slice(1),e=a[1].slice(1,-1);return function(a){return a.hasAttribute&&a.hasAttribute(d)&&a.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(a){return!a.hasAttribute||!a.hasAttribute(d)||a.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return sre.Grammar.getInstance().getParameter(e)}):
  a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){var c=sre.TrieNodeFactory.constraintTest_(a)||goog.bind(function(c){return b.applyQuery(c,a)===c},b);sre.StaticTrieNode.call(this,a,c);this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);
  sre.BooleanTrieNode=function(a,b){var c=sre.TrieNodeFactory.constraintTest_(a)||goog.bind(function(c){return b.applyConstraint(c,a)},b);sre.StaticTrieNode.call(this,a,c);this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.dynamicCstr.getValues(),d=0,e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.DYNAMIC);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY);c=a.precondition.constraints;d=0;for(e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.BOOLEAN);b.setRule(a)};
  sre.Trie.prototype.addNode_=function(a,b,c){var d=a.getChild(b);d||(d=sre.TrieNodeFactory.getNode(c,b,this.store),a.addChild(d));return d};
  sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[],e=this.dynamicCstrSets_(b);e.length;){for(var f=e.shift(),g=[];c.length;){var h=c.shift(),h=h.getChildren();h.forEach(function(a){a.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===f.indexOf(a.getConstraint())||g.push(a)})}c=g.slice()}for(;c.length;)h=c.shift(),h.getRule&&(e=h.getRule())&&d.push(e),h=h.findChildren(a),c=c.concat(h);return d};
  sre.Trie.prototype.dynamicCstrSets_=function(a){a=a.getValues();return sre.Engine.getInstance().strict?a.map(function(a){return[a]}):a.map(function(a){return"default"===a?[a]:[a,"default"]})};sre.Trie.prototype.toString=function(){return sre.Trie.printWithDepth_(this.root,0,"")};sre.Trie.prototype.collectRules=function(){return sre.Trie.collectRules_(this.root)};sre.Trie.prototype.order=function(){return sre.Trie.order_(this.root)};
  sre.Trie.printWithDepth_=function(a,b,c){var d=Array(b+2).join(b)+": ";c+=d+a.toString()+"\n";a=a.getChildren();for(var d=0,e;e=a[d];d++)c=sre.Trie.printWithDepth_(e,b+1,c);return c};sre.Trie.order_=function(a){a=a.getChildren();if(!a.length)return 0;var b=Math.max.apply(null,a.map(sre.Trie.order_));return Math.max(a.length,b)};
  sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.BaseRuleStore=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder)};
  sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;var c=this.trie.lookupRules(a,b);return 0<c.length?this.pickMostConstraint_(b,c):null};
  sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){var f;try{var g=sre.SpeechRule.Action.fromString(c),h=Array.prototype.slice.call(arguments,4),k=new sre.SpeechRule.Precondition(d,h),l=this.parser.parse(b);f=new sre.SpeechRule(a,l,k,g)}catch(m){if("RuleError"==m.name)return console.log("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(f);return f};sre.BaseRuleStore.prototype.addRule=function(a){this.trie.addRule(a);this.speechRules_.unshift(a)};
  sre.BaseRuleStore.prototype.deleteRule=function(a){a=this.speechRules_.indexOf(a);-1!=a&&this.speechRules_.splice(a,1)};sre.BaseRuleStore.prototype.findRule=function(a){for(var b=0,c;c=this.speechRules_[b];b++)if(a(c))return c;return null};sre.BaseRuleStore.prototype.findAllRules=function(a){return this.speechRules_.filter(a)};sre.BaseRuleStore.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};
  sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){var c=a.precondition,d=this.applyQuery(b,c.query);sre.Debugger.getInstance().output(c.query,d?d.toString():d);c.constraints.forEach(goog.bind(function(a){sre.Debugger.getInstance().output(a,this.applyConstraint(b,a))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
  sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};sre.BaseRuleStore.prototype.applyCustomQuery=function(a,b){var c=this.customQueries.lookup(b);return c?c(a):null};sre.BaseRuleStore.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
  sre.BaseRuleStore.prototype.applyQuery=function(a,b){var c=this.applySelector(a,b);return 0<c.length?c[0]:null};sre.BaseRuleStore.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};
  sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(a,b){return c.compare(a.dynamicCstr,b.dynamicCstr)||b.precondition.constraints.length-a.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(a){return a.name+"("+a.dynamicCstr.toString()+")"})},this));return b[0]};
  sre.BaseRuleStore.compareStaticConstraints_=function(a,b){if(a.length!=b.length)return!1;for(var c=0,d;d=a[c];c++)if(-1==b.indexOf(d))return!1;return!0};sre.BaseRuleStore.comparePreconditions_=function(a,b){var c=a.precondition,d=b.precondition;return c.query!=d.query?!1:sre.BaseRuleStore.compareStaticConstraints_(c.constraints,d.constraints)};sre.BaseRuleStore.prototype.getSpeechRules=function(){return this.speechRules_};sre.BaseRuleStore.prototype.setSpeechRules=function(a){this.speechRules_=a};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initialized=!1;this.initializer=[]};goog.inherits(sre.MathStore,sre.BaseRuleStore);sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b();this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
  sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parser.parse(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
  sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(b){return b.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
  sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(b){return b.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2);d.forEach(goog.bind(function(a){this.addAlias_(a,b,e)},this))};sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
  sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parser.parse(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parser.parse(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
  sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var c=0,d;d=a[c];c++)if(1==d.length)b.push(this.evaluate_(d));else if(d.match(/^[a-zA-Z]+$/))b.push(this.evaluate_(d));else for(;d;){var e=d.match(/^((\d{1,3})(?=,)(,\d{3})*(\.\d+)?)|^\d*\.\d+|^\d+/),f=d.match(/^[a-zA-Z]+/);e?(b.push(this.evaluate_(e[0])),d=d.substring(e[0].length)):f?(b.push(this.evaluate_(f[0])),d=d.substring(f[0].length)):(e=
  d[0].charCodeAt(0),55296<=e&&56319>=e&&1<d.length&&!isNaN(d.charCodeAt(1))?(b.push(this.evaluate_(d.slice(0,2))),d=d.substring(2)):(b.push(this.evaluate_(d[0])),d=d.substring(1)))}return b};sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
  sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml()};sre.RebuildStree.prototype.getTree=function(){return this.stree};
  sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
  1<e.length&&(b.textContent=e[1]))}e=function(c){c=sre.WalkerUtil.getBySemanticId(a,c);c=this.assembleTree(c);c.parent=b;return c};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
  sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);e=this.createNode(parseInt(e,10));e.type=b;e.role=
  c;e.font=d?d:sre.SemanticAttr.Font.UNKNOWN;a&&(e.fencePointer=a);f&&(e.embellished=f);return e};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
  sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
  sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
  sre.RebuildStree.prototype.postProcess=function(a,b){var c=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var d=this.createNode(c[1][0]);d.type=sre.SemanticAttr.Type.SUBSCRIPT;d.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;d.embellished=a.embellished;d.fencePointer=a.fencePointer;this.makeIndex(a,c[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,c[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(c);return a}if(a.type===
  sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,c[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(c),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,c[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(c),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,c[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,c[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,c[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,c[5],sre.SemanticAttr.Role.RIGHTSUPER),
  this.collapsedChildren_(c),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(d=this.createNode(c[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(d.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(d.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),d.role=sre.SemanticAttr.Role.UNDEROVER,d.embellished=a.embellished,d.fencePointer=a.fencePointer,this.collapsedChildren_(c));return a};
  sre.RebuildStree.prototype.createNode=function(a){var b=new sre.SemanticNode(a);return this.nodeDict[a.toString()]=b};sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(a){var c=this.nodeDict[a[0]];c.childNodes=[];for(var e=1,f=a.length;e<f;e++){var g=a[e];c.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return c},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.MathSimpleStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRule(a,d+"."+e,'[t] "'+c[d][e]+'"',"self::text()",'"'===b?"self::text() = '"+b+"'":'self::text() = "'+b+'"')};
  sre.MathSimpleStore.prototype.lookupRule=function(a,b){var c=this.getSpeechRules().filter(function(a){return sre.MathSimpleStore.testDynamicConstraints_(b,a)});return c.length?c.sort(function(a,b){return sre.Engine.getInstance().comparator.compare(a.dynamicCstr,b.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
  sre.MathCompoundStore=function(){this.subStores_={}};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.defineRules=function(a,b,c){var d=new sre.MathSimpleStore;d.defineRulesFromMappings(a,b,c);this.subStores_[b]=d};sre.MathCompoundStore.prototype.addSymbolRules=function(a){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.mappings)};
  sre.MathCompoundStore.prototype.addFunctionRules=function(a){var b=a.names;a=a.mappings;for(var c=0,d;d=b[c];c++)this.defineRules(d,d,a)};sre.MathCompoundStore.prototype.addUnitRules=function(a){var b=a.names;b&&(a.names=b.map(function(a){return a+":unit"}));this.addFunctionRules(a)};sre.MathCompoundStore.prototype.lookupRule=function(a,b){var c=this.subStores_[a];return c?c.lookupRule(null,b):null};
  sre.MathCompoundStore.prototype.lookupString=function(a,b){var c=this.lookupRule(a,b);return c?c.action.components.map(function(a){return a.content.slice(1,-1)}).join(" "):""};sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.retrieveMaps()};goog.addSingletonGetter(sre.MathMap);sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});sre.MathMap.prototype.stringify=function(){return JSON.stringify(this)};sre.MathMap.SYMBOLS_PATH_="symbols";sre.MathMap.FUNCTIONS_PATH_="functions";sre.MathMap.UNITS_PATH_="units";sre.MathMap.SYMBOLS_FILES_="greek-capital.js greek-small.js greek-scripts.js greek-mathfonts.js greek-symbols.js hebrew_letters.js latin-lower-double-accent.js latin-lower-normal.js latin-lower-phonetic.js latin-lower-single-accent.js latin-rest.js latin-upper-double-accent.js latin-upper-normal.js latin-upper-single-accent.js latin-mathfonts.js math_angles.js math_arrows.js math_characters.js math_delimiters.js math_digits.js math_geometry.js math_harpoons.js math_non_characters.js math_symbols.js math_whitespace.js other_stars.js".split(" ");
  sre.MathMap.FUNCTIONS_FILES_=["algebra.js","elementary.js","hyperbolic.js","trigonometry.js"];sre.MathMap.UNITS_FILES_="energy.js length.js memory.js other.js speed.js temperature.js time.js volume.js weight.js".split(" ");
  sre.MathMap.retrieveFiles=function(a,b,c){b=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath+b);switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_+=a.length;for(var d=0,e;e=a[d];d++)sre.MathMap.fromFile_(b+e,function(a,b){sre.MathMap.toFetch_--;a||JSON.parse(b).forEach(function(a){c(a)})});break;case sre.Engine.Mode.HTTP:var f=sre.Engine.getInstance().isIE;sre.MathMap.toFetch_+=a.length;for(d=0;e=a[d];d++)f?sre.MathMap.getJsonIE_(e,c):sre.MathMap.getJsonAjax_(b+
  e,c);break;default:sre.MathMap.parseFiles(a.map(function(a){return b+a})).forEach(function(a){c(a)})}};
  sre.MathMap.prototype.retrieveMaps=function(){sre.MathMap.retrieveFiles(sre.MathMap.FUNCTIONS_FILES_,sre.MathMap.FUNCTIONS_PATH_,goog.bind(this.store.addFunctionRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.SYMBOLS_FILES_,sre.MathMap.SYMBOLS_PATH_,goog.bind(this.store.addSymbolRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.UNITS_FILES_,sre.MathMap.UNITS_PATH_,goog.bind(this.store.addUnitRules,this.store))};
  sre.MathMap.getJsonIE_=function(a,b,c){var d=c||1;sre.BrowserUtil.mapsForIE?((c=sre.BrowserUtil.mapsForIE[a])&&c.forEach(function(a){b(a)}),sre.MathMap.toFetch_--):5>=d?setTimeout(function(){sre.MathMap.getJsonIE_(a,b,d++)},300):sre.MathMap.toFetch_--};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.log("Unable to load file: "+a+", error: "+b)}};sre.MathMap.loadFiles=function(a){return a.map(sre.MathMap.loadFile)};
  sre.MathMap.parseFiles=function(a){a=sre.MathMap.loadFiles(a);return[].concat.apply([],a.map(function(a){return JSON.parse(a)}))};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};sre.MathMap.getJsonAjax_=function(a,b){var c=new XMLHttpRequest;c.onreadystatechange=function(){4===c.readyState&&(sre.MathMap.toFetch_--,200===c.status&&JSON.parse(c.responseText).forEach(function(a){b(a)}))};c.open("GET",a,!0);c.send()};sre.AbstractionRules=function(){sre.MathStore.call(this)};goog.inherits(sre.AbstractionRules,sre.MathStore);goog.addSingletonGetter(sre.AbstractionRules);sre.AbstractionRules.mathStore=sre.AbstractionRules.getInstance();sre.AbstractionRules.defineRule_=goog.bind(sre.AbstractionRules.mathStore.defineRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineRulesAlias,sre.AbstractionRules.mathStore);
  sre.AbstractionRules.defineSpecialisedRule_=goog.bind(sre.AbstractionRules.mathStore.defineSpecialisedRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineUniqueRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineUniqueRuleAlias,sre.AbstractionRules.mathStore);
  sre.AbstractionRules.initAbstractionRules_=function(){(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",'[t] "collapsed long identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "collapsed identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief",
  "mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "collapsed long number"',"self::number","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.brief",'[t] "collapsed number"',"self::number","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "collapsed long mixed number"',"self::number",
  "@alternative",'@role="mixed"');(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "collapsed mixed number"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-text","mathspeak.default",'[t] "collapsed text"',"self::text","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.default",'[t] "collapsed functional expression"',
  "self::function","@alternative","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.brief",'[t] "collapsed function"',"self::function","@alternative","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.default",'[t] "collapsed limit function"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.brief",
  '[t] "collapsed lim"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.default",'[t] "collapsed fraction"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "collapsed frac"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-fraction",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction","mathspeak.default",'[t] "collapsed continued fraction"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "collapsed continued frac"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-continued-fraction",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt","mathspeak.default",'[t] "collapsed square root"',"self::sqrt","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "collapsed nested square root"',"self::sqrt","@alternative",
  "children/*/descendant::sqrt or children/*/descendant::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "collapsed root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root",
  "mathspeak.brief",'[t] "collapsed root"',"self::root","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "collapsed nested root of index"; [n] children/*[1]',"self::root","@alternative","children/*/descendant::sqrt or children/*/descendant::root");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "collapsed nested root of index"; [n] children/*[1]; [t] "endindex"',
  "self::root","@alternative","children/*/descendant::sqrt or children/*/descendant::root","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.brief",'[t] "collapsed nested root"',"self::root","@alternative","children/*/descendant::sqrt or children/*/descendant::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-superscript","mathspeak.default",
  '[t] "collapsed power"',"self::superscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subscript","mathspeak.default",'[t] "collapsed subscript"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript",
  "mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subsup","mathspeak.default",'[t] "collapsed power with subscript"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] "collapsed"; [t] @role; [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] "collapsed"; [t] @role; [t] "with variable number of elements"',"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-infixop",
  "mathspeak.brief",'[t] "collapsed"; [t] @role',"self::infixop","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.default",'[t] "collapsed sum with"; [t] count(./children/*); [t] "summands"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.brief",'[t] "collapsed sum"',"self::infixop","@alternative",'@role="addition"');
  (0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-addition","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "collapsed sum with variable number of summands"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "collapsed product with"; [t] count(./children/*); [t] "factors"',
  "self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication","mathspeak.brief",'[t] "collapsed product"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-multiplication","self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionRules.defineRule_)("abstr-var-multiplication",
  "mathspeak.default",'[t] "collapsed product with variable number of factors"',"self::infixop","@alternative",'@role="multiplication"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.default",'[t] "collapsed"; [t] count(./children/*) ; [t] "dimensional vector"',
  "self::vector","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.brief",'[t] "collapsed vector"',"self::vector","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "collapsed n dimensional vector"',"self::vector","@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-binomial",
  "mathspeak.default",'[t] "collapsed binomial"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.default",'[t] "collapsed" ; [t] count(./children/*); [t] "dimensional determinant"',"self::matrix","@alternative",'@role="determinant"',
  "self::*");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "collapsed determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-determinant","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "collapsed n dimensional determinant"',"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');
  (0,sre.AbstractionRules.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] "collapsed" ; [t] count(./children/*); [t] "dimensional square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix","mathspeak.brief",'[t] "collapsed square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-squarematrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-rowvector",
  "mathspeak.default",'[t] "collapsed" ; [t] count(./children/row/children/*); [t] "dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "collapsed row vector"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "collapsed n dimensional row vector"',
  "self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.default",'[t] "collapsed"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',"self::matrix","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "collapsed matrix"',"self::matrix","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-matrix",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "collapsed n by m dimensional matrix"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-cases","mathspeak.default",'[t] "collapsed case statement";[t] "with"; [t] count(children/*); [t] "cases"',"self::cases","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-cases","mathspeak.brief",
  '[t] "collapsed case statement"',"self::cases","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "collapsed case statement with variable number of cases"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-punctuated",
  "mathspeak.default",'[t] "collapsed"; [n] content/*[1]; [t] "separated list";[t] "of length"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.brief",'[t] "collapsed"; [n] content/*[1]; [t] "separated list"',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-punctuated",
  "mathspeak.default",'[t] "collapsed"; [n] content/*[1]; [t] "separated list";[t] "of variable length"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-bigop","mathspeak.default",'[t] "collapsed"; [n] content/*[1]',"self::bigop","@alternative","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-integral","mathspeak.default",'[t] "collapsed integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionRules.defineRule_)("abstr-relation",
  "mathspeak.default",'[t] "collapsed"; [n] @role;',"self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",'[t] "collapsed"; [n] @role; [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::relseq","@alternative",
  "count(./children/*)>2");(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.brief",'[t] "collapsed"; [n] @role; [t] "sequence"',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-relation","mathspeak.default",'[t] "collapsed"; [n] @role; [t] "sequence"; [t] "with variable number of elements"',"self::relseq","@alternative","count(./children/*)>2",
  './children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-relation",
  "self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.default",'[t] "collapsed relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "collapsed relation sequence"',"self::multirel","@alternative","count(./children/*)>2");
  (0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multirel","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "collapsed relation sequence with variable number of elements"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]')};sre.AbstractionRules.getInstance().initializer=[sre.AbstractionRules.initAbstractionRules_];sre.ClearspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.ClearspeakRules,sre.MathStore);goog.addSingletonGetter(sre.ClearspeakRules);sre.ClearspeakRules.mathStore=sre.ClearspeakRules.getInstance();sre.ClearspeakRules.defineRule_=goog.bind(sre.ClearspeakRules.mathStore.defineRule,sre.ClearspeakRules.mathStore);
  sre.ClearspeakRules.initClearspeakRules_=function(){(0,sre.ClearspeakRules.defineRule_)("fraction","mathspeak.clearspeak",'[t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:300); [t] "and denominator"; [n] children/*[2]; [p] (pause:500)',"self::fraction");(0,sre.ClearspeakRules.defineRule_)("sqrt","mathspeak.clearspeak",'[t] "the square root of"; [n] children/*[1]; [p] (pause:500)',"self::sqrt")};sre.ClearspeakRules.getInstance().initializer=[sre.ClearspeakRules.initClearspeakRules_];sre.MathmlStoreUtil={};sre.MathmlStoreUtil.matchMathjaxToMathml=function(a){return sre.Engine.getInstance().alternativeHost.querySelector("#"+a.id)};sre.MathmlStoreUtil.retrieveMathjaxExtender=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};sre.MathmlStoreUtil.retrieveMathjaxLeaf=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};
  sre.MathmlStoreUtil.checkMathjaxTag=function(a,b){var c=sre.MathmlStoreUtil.matchMathjaxToMathml(a);return c&&c.tagName.toUpperCase()==b?[c]:[]};sre.MathmlStoreUtil.checkMathjaxMunder=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MUNDER")};sre.MathmlStoreUtil.checkMathjaxMover=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MOVER")};sre.MathmlStoreUtil.checkMathjaxMsub=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUB")};
  sre.MathmlStoreUtil.checkMathjaxMsup=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUP")};sre.MathmlStoreUtil.mfencedSeparators=function(a,b){var c=sre.MathUtil.nextSeparatorFunction(b);return function(){return c?[sre.AuditoryDescription.create({text:c()},{translate:!0})]:[]}};
  sre.MathmlStoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var a=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!a)return e;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);return e.concat(a)}};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNumber=function(a){a=a.textContent.split("");for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.NUMBER,g=e.match(/\W/)?sre.Semantic.Role.UNKNOWN:sre.Semantic.Role.PROTECTED;e=c.parseFromString("<"+f+' role="'+g+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
  sre.MathspeakUtil.spaceoutIdentifier=function(a){var b=a.textContent;if(!b.match(/[a-zA-Z]+/))return a.setAttribute("role",sre.SemanticAttr.Role.PROTECTED),[a];a=b.split("");for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.IDENTIFIER;e=c.parseFromString("<"+f+' role="'+sre.Semantic.Role.UNKNOWN+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
  sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
  sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(a){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
  b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;for(var c=sre.DomUtil.toArray(a.attributes),d=0,e;e=c[d];d++)if(b[e.nodeName]===e.nodeValue)return!0;return!1};
  sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(a){return sre.MathspeakUtil.computeNestingDepth_(a,b,c,d,e,f)}))};
  sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)})};sre.MathspeakUtil.openingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join("Start")+"Fraction"};sre.MathspeakUtil.closingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join("End")+"Fraction"};
  sre.MathspeakUtil.overFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join("Over")};sre.MathspeakUtil.openingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join("Start")+"Frac"};sre.MathspeakUtil.closingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join("End")+"Frac"};sre.MathspeakUtil.nestingToString=function(a){switch(a){case 1:return"";case 2:return"Twice";default:return a.toString()}};
  sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?"Frac":"Nest"+sre.MathspeakUtil.nestingToString(a-1)+"Frac"};sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?"EndFrac":"Nest"+sre.MathspeakUtil.nestingToString(a-1)+"EndFrac"};
  sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?"Over":"Nest"+sre.MathspeakUtil.nestingToString(a-1)+"Over"};sre.MathspeakUtil.onesNumbers=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");sre.MathspeakUtil.tensNumbers="  twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.MathspeakUtil.largeNumbers=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
  sre.MathspeakUtil.hundredsToWords=function(a){a%=1E3;var b;b=""+(sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]?sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]+"-hundred":"");(a%=100)&&(b=b+(b?"-":"")+(sre.MathspeakUtil.onesNumbers[a]||sre.MathspeakUtil.tensNumbers[Math.floor(a/10)]+"-"+sre.MathspeakUtil.onesNumbers[a%10]));return b};
  sre.MathspeakUtil.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.MathspeakUtil.hundredsToWords(a%1E3)+(b?"-"+sre.MathspeakUtil.largeNumbers[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c};
  sre.MathspeakUtil.numberToOrdinal=function(a,b){if(2===a)return b?"halves":"half";var c=sre.MathspeakUtil.numberToWords(a),c=c.match(/one$/)?c.slice(0,-3)+"first":c.match(/two$/)?c.slice(0,-3)+"second":c.match(/three$/)?c.slice(0,-5)+"third":c.match(/five$/)?c.slice(0,-4)+"fifth":c.match(/eight$/)?c.slice(0,-5)+"eighth":c.match(/nine$/)?c.slice(0,-4)+"ninth":c.match(/twelve$/)?c.slice(0,-5)+"twelfth":c.match(/ty$/)?c.slice(0,-2)+"tieth":c+"th";return b?c+"s":c};
  sre.MathspeakUtil.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.MathspeakUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakUtil.simpleOrdinal(++c)+" "+b}};
  sre.MathspeakUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
  var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" Over "+b}:{convertible:!0,enumerator:d,denominator:c}};sre.MathspeakUtil.vulgarFraction=function(a){a=sre.MathspeakUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.MathspeakUtil.numberToWords(a.enumerator)+"-"+sre.MathspeakUtil.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};
  sre.MathspeakUtil.vulgarFractionSmall=function(a){var b=sre.MathspeakUtil.convertVulgarFraction_(a);return b.convertible?(a=b.enumerator,b=b.denominator,0<a&&10>a&&0<b&&100>b):!1};sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)?[a]:[]};
  sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+" "+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||f===sre.Semantic.Role.RIGHTSUPER))b=
  c.sup+" "+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"Subscript",{sup:"Super",sub:"Sub"})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"Sub",{sup:"Sup",sub:"Sub"})};sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"Superscript",{sup:"Super",sub:"Sub"})};
  sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"Sup",{sup:"Sup",sub:"Sub"})};sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:"Super",sub:"Sub"}))?a.replace(/Sub$/,"Subscript").replace(/Super$/,"Superscript"):"Baseline"};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:"Sup",sub:"Sub"})||"Base"};
  sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){a=sre.MathspeakUtil.radicalNestingDepth(a);return 1===a?c:b+sre.MathspeakUtil.nestingToString(a-1)+c};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nested","StartRoot")};
  sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nested","EndRoot")};sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nested","RootIndex")};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nest","StartRoot")};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nest","EndRoot")};
  sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nest","RootIndex")};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nest","Root")};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,"Nest","Index")};
  sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.UNDERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join("Under")+"Underscript"};
  sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.OVERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join("Over")+"Overscript"};
  sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
  sre.MathspeakUtil.generateBaselineConstraint=function(){for(var a=function(a){return a.map(function(a){return"ancestor::"+a})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]),a=a(["fraction","punctuation","fenced","sqrt","root"]),d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(a){return f+"/"+a}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.EmacspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.EmacspeakRules,sre.MathStore);goog.addSingletonGetter(sre.EmacspeakRules);sre.EmacspeakRules.mathStore=sre.EmacspeakRules.getInstance();sre.EmacspeakRules.defineRule_=goog.bind(sre.EmacspeakRules.mathStore.defineRule,sre.EmacspeakRules.mathStore);sre.EmacspeakRules.defineRuleAlias_=goog.bind(sre.EmacspeakRules.mathStore.defineRuleAlias,sre.EmacspeakRules.mathStore);
  sre.EmacspeakRules.addContextFunction_=goog.bind(sre.EmacspeakRules.mathStore.contextFunctions.add,sre.EmacspeakRules.mathStore.contextFunctions);sre.EmacspeakRules.addCustomQuery_=goog.bind(sre.EmacspeakRules.mathStore.customQueries.add,sre.EmacspeakRules.mathStore.customQueries);sre.EmacspeakRules.addCustomString_=goog.bind(sre.EmacspeakRules.mathStore.customStrings.add,sre.EmacspeakRules.mathStore.customStrings);
  sre.EmacspeakRules.initCustomFunctions_=function(){(0,sre.EmacspeakRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.EmacspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.EmacspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.EmacspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction)};
  sre.EmacspeakRules.initSemanticRules_=function(){(0,sre.EmacspeakRules.defineRule_)("stree","emacspeak.default","[n] ./*[1]","self::stree");(0,sre.EmacspeakRules.defineRule_)("multrel","emacspeak.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.EmacspeakRules.defineRule_)("variable-equality","emacspeak.default",'[t] "equation sequence"; [m] ./children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
  "count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.default",'[t] "equation sequence"; [m] ./children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.short",'[t] "equation sequence"; [m] ./children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
  (0,sre.EmacspeakRules.defineRule_)("equality","emacspeak.default",'[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2]','self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.EmacspeakRules.defineRule_)("simple-equality","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");
  (0,sre.EmacspeakRules.defineRule_)("simple-equality2","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.EmacspeakRules.defineRule_)("relseq","emacspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.EmacspeakRules.defineRule_)("implicit","emacspeak.default","[m] children/*","self::infixop",'@role="implicit"',
  'children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number"','children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"');(0,sre.EmacspeakRules.defineRule_)("binary-operation","emacspeak.default","[p] (pause:100); [m] ./children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop");(0,sre.EmacspeakRules.defineRule_)("variable-addition",
  "emacspeak.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("prefix","emacspeak.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.EmacspeakRules.defineRule_)("negative","emacspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');
  (0,sre.EmacspeakRules.defineRule_)("postfix","emacspeak.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.EmacspeakRules.defineRule_)("identifier","emacspeak.default","[n] text()","self::identifier");(0,sre.EmacspeakRules.defineRule_)("number","emacspeak.default","[n] text()","self::number");(0,sre.EmacspeakRules.defineRule_)("font","mathspeak.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))',
  '@font!="normal"');(0,sre.EmacspeakRules.defineRule_)("font-identifier-short","emacspeak.default","[t] @font; [n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
  '@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("font-identifier","mathspeak.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("omit-font","mathspeak.default","[n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.EmacspeakRules.defineRule_)("simple-fraction",
  "emacspeak.default",'[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over";  [n] children/*[2] (rate:-0.35); [p] (pause:100)',"self::fraction",'name(children/*[1])="number" or name(children/*[1])="identifier"','name(children/*[2])="number" or name(children/*[2])="identifier"');(0,sre.EmacspeakRules.defineRule_)("vulgar-fraction","emacspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.EmacspeakRules.defineRule_)("fraction","emacspeak.default",
  '[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250);  [n] children/*[2] (rate:-0.35); [p] (pause:250)',"self::fraction");(0,sre.EmacspeakRules.defineRule_)("superscript","emacspeak.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.EmacspeakRules.defineRule_)("subscript","emacspeak.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
  (0,sre.EmacspeakRules.defineRule_)("ellipsis","emacspeak.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("fence-single","emacspeak.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",
  'self::punctuation[@role="vbar"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.EmacspeakRules.defineRule_)("omit-empty","emacspeak.default","[p] (pause:100)","self::empty");(0,sre.EmacspeakRules.defineRule_)("fences-open-close","emacspeak.default","[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200)","self::fenced",'@role="leftright"');(0,sre.EmacspeakRules.defineRule_)("fences-open-close-in-appl","emacspeak.default",
  "[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.EmacspeakRules.defineRule_)("fences-neutral","emacspeak.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.EmacspeakRules.defineRule_)("omit-fences","emacspeak.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.EmacspeakRules.defineRule_)("matrix",
  "emacspeak.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.EmacspeakRules.defineRule_)("matrix-row","emacspeak.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("matrix-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("vector","emacspeak.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
  "self::vector");(0,sre.EmacspeakRules.defineRule_)("cases","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.EmacspeakRules.defineRule_)("cases-row","emacspeak.default","[m] children/*",'self::row[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("cases-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("row","emacspeak.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
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  "emacspeak.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.EmacspeakRules.defineRule_)("integral-punct","emacspeak.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.EmacspeakRules.defineRule_)("punctuated","emacspeak.default","[m] children/* (pause:100)","self::punctuated");(0,sre.EmacspeakRules.defineRule_)("function","emacspeak.default","[n] text()","self::function");
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  "self::limboth");(0,sre.EmacspeakRules.defineRule_)("limlower","emacspeak.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.EmacspeakRules.defineRule_)("limupper","emacspeak.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.EmacspeakRules.defineRule_)("largeop","emacspeak.default","[n] text()","self::largeop");(0,sre.EmacspeakRules.defineRule_)("bigop","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
  "self::bigop");(0,sre.EmacspeakRules.defineRule_)("integral","emacspeak.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.EmacspeakRules.defineRule_)("sqrt","emacspeak.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.EmacspeakRules.defineRule_)("square","emacspeak.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=2]",
  'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("cube","emacspeak.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("root","emacspeak.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.EmacspeakRules.defineRule_)("text-no-mult","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] children/*[2]",
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  (0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.EmacspeakRules.defineRule_)("unit-combine","emacspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-divide","emacspeak.default",
  '[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',"self::fraction",'@role="unit"')};sre.EmacspeakRules.getInstance().initializer=[sre.EmacspeakRules.initCustomFunctions_,sre.EmacspeakRules.initSemanticRules_];sre.MathmlStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathmlStore,sre.MathStore);goog.addSingletonGetter(sre.MathmlStore);sre.MathmlStore.prototype.defineMathmlRule=function(a,b,c){this.defineRule(a,b,c,"self::mathml:"+a)};sre.MathmlStore.prototype.defineDefaultMathmlRule=function(a,b){this.defineRule(a,"default.default",b,"self::mathml:"+a)};sre.MathmlStoreRules=function(){sre.MathmlStore.call(this)};goog.inherits(sre.MathmlStoreRules,sre.MathmlStore);goog.addSingletonGetter(sre.MathmlStoreRules);sre.MathmlStoreRules.mathStore=sre.MathmlStoreRules.getInstance();sre.MathmlStoreRules.defineDefaultMathmlRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineDefaultMathmlRule,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.defineRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineRule,sre.MathmlStoreRules.mathStore);
  sre.MathmlStoreRules.defineRuleAlias_=goog.bind(sre.MathmlStoreRules.mathStore.defineRuleAlias,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.addContextFunction_=goog.bind(sre.MathmlStoreRules.mathStore.contextFunctions.add,sre.MathmlStoreRules.mathStore.contextFunctions);sre.MathmlStoreRules.addCustomQuery_=goog.bind(sre.MathmlStoreRules.mathStore.customQueries.add,sre.MathmlStoreRules.mathStore.customQueries);
  sre.MathmlStoreRules.initCustomFunctions_=function(){(0,sre.MathmlStoreRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.MathmlStoreRules.addContextFunction_)("CTXFmfSeparators",sre.MathmlStoreUtil.mfencedSeparators);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFextender",sre.MathmlStoreUtil.retrieveMathjaxExtender);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmunder",sre.MathmlStoreUtil.checkMathjaxMunder);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmover",
  sre.MathmlStoreUtil.checkMathjaxMover);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsub",sre.MathmlStoreUtil.checkMathjaxMsub);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsup",sre.MathmlStoreUtil.checkMathjaxMsup);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFlookupleaf",sre.MathmlStoreUtil.retrieveMathjaxLeaf)};
  sre.MathmlStoreRules.initDefaultRules_=function(){(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("math","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("semantics","[n] ./*[1]");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mspace","[p] (pause:250)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mstyle","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mpadded","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("merror","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mphantom",
  "[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mtext","[t] text(); [p] (pause:200)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mi","[n] text()");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mo","[n] text() (rate:-0.1)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mn","[n] text()");(0,sre.MathmlStoreRules.defineRule_)("mtext-variant","default.default",'[t] "begin"; [t] @mathvariant (pause:150);[t] text() (pause:150); [t] "end"; [t] @mathvariant (pause:200)',"self::mathml:mtext",
  "@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mi-variant","default.default","[t] @mathvariant; [n] text()","self::mathml:mi","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRuleAlias_)("mi-variant","self::mathml:mn","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mo-variant","default.default","[t] @mathvariant; [n] text() (rate:-0.1)","self::mathml:mo","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("ms",
  '[t] "string" (pitch:0.5, rate:0.5); [t] text()');(0,sre.MathmlStoreRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::mathml:mi",'@class="MathML-Unit"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msup",'[n] ./*[1]; [t] "super";[n] ./*[2] (pitch:0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msubsup",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "super"; [n] ./*[3] (pitch:0.35); [p] (pause:300)');
  (0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msub",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mover",'[n] ./*[2] (pitch:0.35); [p] (pause:200); [t] "over"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munder",'[n] ./*[2] (pitch:-0.35); [t] "under"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munderover",'[n] ./*[2] (pitch:-0.35); [t] "under and"; [n] ./*[3] (pitch:0.35); [t] "over"; [n] ./*[1]; [p] (pause:400)');
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  "default.short",'[p] (pause:200); [t] "start frac";[n] ./*[1] (pitch:0.3); [t] "over"; [n] ./*[2] (pitch:-0.3); [p] (pause:400); [t] "end frac"',"self::mathml:mfrac");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default","[n] @open; [m] ./* (separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [n] @close',
  "self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[n] @open; [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced",
  "@open","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default","[n] @open; [m] ./*; [n] @close","self::mathml:mfenced","@separators","@open","@close",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [n] @close',"self::mathml:mfenced","@separators","not(@open)","@close",'string(@separators)="" or string(@separators)=" "');
  (0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[n] @open; [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","@open","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","not(@open)","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma",
  "default.default",'[n] @open; [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","@open","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","not(@open)","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[n] @open; [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced",
  "@open","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default","[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))>1");
  (0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close',"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","@open","not(@close)","string-length(string(@separators))>1");
  (0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.default",'[t] "matrix"; [m] ./* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr","default.default",
  '[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.default","[m] ./*","self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.superbrief",'[t] count(child::mathml:mtr);  [t] "by";[t] count(child::mathml:mtr[1]/mathml:mtd); [t] "matrix";',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.short",'[t] "matrix"; [m] ./*',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr",
  "default.short","[m] ./*","self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.short",'[t] "Element"; [t] count(./preceding-sibling::mathml:mtd)+1;[t] count(./parent::mathml:mtr/preceding-sibling::mathml:mtr)+1;[p] (pause:500); [m] ./*',"self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-4","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',
  "self::mathml:mmultiscripts");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);',
  "self::mathml:mmultiscripts","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-3","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[5]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-4",
  "default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[6]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-2-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',
  "self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[5]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);',
  "self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[6]")};
  sre.MathmlStoreRules.initMathjaxRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("mj-math","default.default","[n] ./*[1]/*[1]/*[1]",'self::span[@class="math"]');(0,sre.MathmlStoreRules.defineRule_)("mj-leaf","default.default","[n] CQFlookupleaf",'self::span[@class="mi"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mo"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mn"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtext"]');
  (0,sre.MathmlStoreRules.defineRule_)("mj-mo-ext","default.default","[n] CQFextender",'self::span[@class="mo"]',"./*[1]/*[1]/text()","./*[1]/*[2]/text()");(0,sre.MathmlStoreRules.defineRule_)("mj-texatom","default.default","[n] ./*[1]",'self::span[@class="texatom"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msubsup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35);[p] (pause:200); [t] "super"; [n] ./*[1]/*[2]/*[1] (pitch:0.35);[p] (pause:300)','self::span[@class="msubsup"]');
  (0,sre.MathmlStoreRules.defineRule_)("mj-msub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub";[n] ./*[1]/*[2]/*[1] (pitch:-0.35); [p] (pause:300)','self::span[@class="msub"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "super";[n] ./*[1]/*[2]/*[1] (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munderover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under and";[n] ./*[1]/*[3]/*[1] (pitch:-0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)',
  'self::span[@class="munderover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munder","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="munder"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="mover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfrac","default.default",'[p] (pause:250); [n] ./*[1]/*[1]/*[1] (pitch:0.3); [p] (pause:250); [t] "divided by"; [n] ./*[1]/*[2]/*[1] (pitch:-0.3);[p] (pause:400)',
  'self::span[@class="mfrac"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msqrt","default.default",'[t] "Square root of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="msqrt"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mroot","default.default",'[t] "root of order"; [n] ./*[1]/*[4]/*[1]; [t] "of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="mroot"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfenced","default.default",'[t] "opening"; [n] ./*[1]; [m] ./*[position()>1 and position()<last()]; [t] "closing"; [n] ./*[last()]',
  'self::span[@class="mfenced"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtable"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mmultiscripts"]')};
  sre.MathmlStoreRules.initAliases_=function(){(0,sre.MathmlStoreRules.defineRuleAlias_)("mspace",'self::span[@class="mspace"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mstyle",'self::span[@class="mstyle"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mpadded",'self::span[@class="mpadded"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("merror",'self::span[@class="merror"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mphantom",'self::span[@class="mphantom"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("ms",
  'self::span[@class="ms"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mrow",'self::span[@class="mrow"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msub",'self::span[@class="msubsup"]',"CQFmathmlmsub");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msup",'self::span[@class="msubsup"]',"CQFmathmlmsup");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-munder",'self::span[@class="munderover"]',"CQFmathmlmunder");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-mover",'self::span[@class="munderover"]',"CQFmathmlmover")};
  sre.MathmlStoreRules.initSpecializationRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("square","default.default",'[n] ./*[1]; [t] "square" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("cube","default.default",'[n] ./*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=3]");
  (0,sre.MathmlStoreRules.defineRuleAlias_)("cube","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("square-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=2]");
  (0,sre.MathmlStoreRules.defineRule_)("cube-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("cube-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "square" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',
  "./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',
  "count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",
  'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',
  "./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square-sub",'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube-sub",
  'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]")};sre.MathmlStoreRules.getInstance().initializer=[sre.MathmlStoreRules.initCustomFunctions_,sre.MathmlStoreRules.initDefaultRules_,sre.MathmlStoreRules.initMathjaxRules_,sre.MathmlStoreRules.initAliases_,sre.MathmlStoreRules.initSpecializationRules_];sre.MathspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.MathspeakRules,sre.MathStore);goog.addSingletonGetter(sre.MathspeakRules);sre.MathspeakRules.mathStore=sre.MathspeakRules.getInstance();sre.MathspeakRules.defineRule_=goog.bind(sre.MathspeakRules.mathStore.defineRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.defineRuleAlias_=goog.bind(sre.MathspeakRules.mathStore.defineRulesAlias,sre.MathspeakRules.mathStore);
  sre.MathspeakRules.defineSpecialisedRule_=goog.bind(sre.MathspeakRules.mathStore.defineSpecialisedRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.addContextFunction_=goog.bind(sre.MathspeakRules.mathStore.contextFunctions.add,sre.MathspeakRules.mathStore.contextFunctions);sre.MathspeakRules.addCustomQuery_=goog.bind(sre.MathspeakRules.mathStore.customQueries.add,sre.MathspeakRules.mathStore.customQueries);
  sre.MathspeakRules.addCustomString_=goog.bind(sre.MathspeakRules.mathStore.customStrings.add,sre.MathspeakRules.mathStore.customStrings);
  sre.MathspeakRules.initCustomFunctions_=function(){(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakRules.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose);
  (0,sre.MathspeakRules.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief);
  (0,sre.MathspeakRules.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction);(0,sre.MathspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);
  (0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);
  (0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineVerbose",
  sre.MathspeakUtil.baselineVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakRules.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakRules.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakRules.addContextFunction_)("CTXFordinalCounter",sre.MathspeakUtil.ordinalCounter);(0,sre.MathspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);
  (0,sre.MathspeakRules.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple)};
  sre.MathspeakRules.initMathspeakRules_=function(){(0,sre.MathspeakRules.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree");(0,sre.MathspeakRules.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakRules.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakRules.defineRule_)("omit-empty","mathspeak.default","","self::empty");(0,sre.MathspeakRules.defineRule_)("blank-empty","mathspeak.default",
  '[t] "Blank"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakRules.defineRule_)("font","mathspeak.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakRules.defineRule_)("font-identifier-short","mathspeak.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))',
  '@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("font-identifier","mathspeak.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)",
  "self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("omit-font","mathspeak.default","[n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "German"; [n] self::* (grammar:ignoreFont=@font)',"self::*","@font",'not(contains(@grammar, "ignoreFont"))',
  '@font="fraktur"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "bold German"; [n] self::* (grammar:ignoreFont=@font)',"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="bold-fraktur"');(0,sre.MathspeakRules.defineRule_)("number","mathspeak.default","[n] text()","self::number");(0,sre.MathspeakRules.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.MathspeakRules.defineRule_)("number-with-chars",
  "mathspeak.default",'[t] "Number"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",'[t] "Num"; [m] CQFspaceoutNumber');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-as-upper-word","mathspeak.default",'[t] "UpperWord"; [t] CSFspaceoutText',
  "self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")','""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');
  (0,sre.MathspeakRules.defineRule_)("number-baseline","mathspeak.default",'[t] "Baseline"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-baseline-font","mathspeak.default",'[t] "Baseline"; [t] @font; [n] self::* (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font",
  "mathspeak.default","mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",
  '@role="protected"');(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "minus"; [n] children/*[1]',
  "self::prefixop",'@role="negative"');(0,sre.MathspeakRules.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakRules.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakRules.defineRule_)("binary-operation","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakRules.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",
  '@role="implicit"');(0,sre.MathspeakRules.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakRules.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"minus");',"self::infixop",'@role="subtraction"');(0,sre.MathspeakRules.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakRules.defineRule_)("function-prefix","mathspeak.default",
  "[n] children/*[1]; [n] children/*[2]","self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakRules.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default",'[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("fences-neutral","mathspeak.default","mathspeak.sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="neutral"');(0,sre.MathspeakRules.defineRule_)("fences-set","mathspeak.default",'[t] "StartSet"; [n] children/*[1]; [t] "EndSet"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"',
  'content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"');(0,sre.MathspeakRules.defineRule_)("text","mathspeak.default","[n] text()","self::text");(0,sre.MathspeakRules.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakRules.defineRule_)("minus",
  "mathspeak.default",'[t] "minus"',"self::operator",'text()="-"');(0,sre.MathspeakRules.defineRule_)("single-prime","mathspeak.default",'[t] "prime"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakRules.defineRule_)("double-prime","mathspeak.default",'[t] "double-prime"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakRules.defineRule_)("triple-prime","mathspeak.default",'[t] "triple-prime"',"self::punctuated",'@role="prime"',"count(children/*)=3");
  (0,sre.MathspeakRules.defineRule_)("quadruple-prime","mathspeak.default",'[t] "quadruple-prime"',"self::punctuated",'@role="prime"',"count(children/*)=4");(0,sre.MathspeakRules.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',"self::punctuated",'@role="prime"');(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction",
  "mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction");(0,sre.MathspeakRules.defineRule_)("vulgar-fraction","mathspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction",
  "mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer",
  "mathspeak.default","mathspeak.brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner",
  "mathspeak.default","mathspeak.brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief",
  "self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief",
  "self::root");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');
  (0,sre.MathspeakRules.defineRule_)("limlower","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');
  (0,sre.MathspeakRules.defineRuleAlias_)("limlower","self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limupper",
  "self::overscore",'children/*[2][@role!="overaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth");(0,sre.MathspeakRules.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',
  "self::limlower");(0,sre.MathspeakRules.defineRule_)("limupper-end","mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper");(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakRules.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];",
  "self::integral");(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";',"self::limboth",'@role="integral"');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");
  (0,sre.MathspeakRules.defineRule_)("bigop","mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakRules.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakRules.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',"count(./children/*)=2");(0,sre.MathspeakRules.defineRule_)("multi-equality","mathspeak.default","[m] ./children/* (sepFunc:CTXFcontentIterator)",
  "self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakRules.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript",
  "mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-simple","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(./children/*[1])="identifier"','name(./children/*[2])="number"','./children/*[2][@role!="mixed"]','./children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default",
  "mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"','not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
  (0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"',
  'name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakRules.defineRule_)("superscript","mathspeak.default",
  "[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose",
  "self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief");
  (0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");
  (0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakRules.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",
  'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');
  (0,sre.MathspeakRules.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "squared"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
  "not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("cube","mathspeak.default",'[n] children/*[1]; [t] "cubed"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
  'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime",
  "mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",
  'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose",
  "self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("prime-subscript-baseline",
  "self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("prime-subscript-simple","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"','name(children/*[1]/children/*[1])="identifier"','name(children/*[1]/children/*[2])="number"','children/*[1]/children/*[2][@role!="mixed"]',
  'children/*[1]/children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overscore","mathspeak.default",'[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore",
  "mathspeak.default","mathspeak.brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-overscore","mathspeak.default",'[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore",
  "mathspeak.default","mathspeak.brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underscore","mathspeak.default",'[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",
  '[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-underscore","mathspeak.default",'[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore",
  "mathspeak.default","mathspeak.brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "overbar"',"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underbar","mathspeak.default",'[n] children/*[1]; [t] "underbar"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "underBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "overTilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overtilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "underTilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "undertilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',
  "self::matrix");(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix");(0,sre.MathspeakRules.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakRules.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row");(0,sre.MathspeakRules.defineRule_)("row-with-label",
  "mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineRule_)("empty-row","mathspeak.default",'[t] "Blank"',"self::row","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]","self::cell");(0,sre.MathspeakRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"',"self::cell","count(children/*)=0");
  (0,sre.MathspeakRules.defineRule_)("determinant","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"',"self::matrix",'@role="determinant"');(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"');
  (0,sre.MathspeakRules.defineRule_)("determinant-simple","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"');
  (0,sre.MathspeakRules.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");
  (0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.default",'[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.sbrief",'[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("cases",
  "mathspeak.default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRule_)("cases","mathspeak.sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakRules.defineRule_)("line","mathspeak.default","[m] children/*",
  "self::line");(0,sre.MathspeakRules.defineRule_)("line-with-label","mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakRules.defineRule_)("empty-line","mathspeak.default",'[t] "Blank"',"self::line","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("empty-line-with-label","mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank"',"self::line","count(children/*)=0");
  (0,sre.MathspeakRules.defineRule_)("enclose","mathspeak.default",'[t] "StartEnclose"; [t] @role; [n] children/*[1]; [t] "EndEnclose"',"self::enclose");(0,sre.MathspeakRules.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakRules.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakRules.defineRule_)("leftbar","mathspeak.default",'[t] "vertical-bar"; [n] children/*[1]',"self::enclose",'@role="left"');(0,sre.MathspeakRules.defineRule_)("rightbar","mathspeak.default",
  '[t] "vertical-bar"; [n] children/*[1]',"self::enclose",'@role="right"');(0,sre.MathspeakRules.defineRule_)("crossout","mathspeak.default",'[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel","mathspeak.default",'[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut"',"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');
  (0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel-reverse","mathspeak.default",'[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut"',
  "self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');
  (0,sre.MathspeakRules.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",'@role="endpunct"');(0,sre.MathspeakRules.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakRules.defineRule_)("integral-punct","mathspeak.default","[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakRules.defineRule_)("punctuated","mathspeak.default","[m] children/*",
  "self::punctuated");(0,sre.MathspeakRules.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',
  "children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',
  "self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakRules.defineRule_)("unit-combine","mathspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};
  sre.MathspeakRules.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakRules.childNumber_={4:2,3:3,2:1,1:4,0:5};
  sre.MathspeakRules.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakRules.childNumber_[e]+"]";if(a&1)var g=sre.MathspeakRules.componentString_[e%3],c="[t] "+g+"Verbose; [n] "+f+";"+c,d="[t] "+g+"Brief; [n] "+f+";"+d;else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
  sre.MathspeakRules.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakRules.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,
  "mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakRules.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
  "ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakRules.defineRuleAlias_.apply(null,d)}};sre.MathspeakRules.getInstance().initializer=[sre.MathspeakRules.initCustomFunctions_,sre.MathspeakRules.initMathspeakRules_,sre.MathspeakRules.generateMathspeakTensorRules_];sre.PrefixRules=function(){sre.MathStore.call(this)};goog.inherits(sre.PrefixRules,sre.MathStore);goog.addSingletonGetter(sre.PrefixRules);sre.PrefixRules.mathStore=sre.PrefixRules.getInstance();sre.PrefixRules.defineRule_=goog.bind(sre.PrefixRules.mathStore.defineRule,sre.PrefixRules.mathStore);sre.PrefixRules.defineRuleAlias_=goog.bind(sre.PrefixRules.mathStore.defineRulesAlias,sre.PrefixRules.mathStore);sre.PrefixRules.addCustomString_=goog.bind(sre.PrefixRules.mathStore.customStrings.add,sre.PrefixRules.mathStore.customStrings);
  sre.PrefixRules.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixRules.initCustomFunctions_=function(){(0,sre.PrefixRules.addCustomString_)("CSFordinalPosition",sre.PrefixRules.ordinalPosition)};
  sre.PrefixRules.initPrefixRules_=function(){(0,sre.PrefixRules.defineRule_)("numerator","prefix.default",'[t] "Numerator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("denominator","prefix.default",'[t] "Denominator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("base","prefix.default",'[t] "Base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
  "count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("exponent","prefix.default",'[t] "Exponent"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("subscript","prefix.default",'[t] "Subscript"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("overscript","prefix.default",'[t] "Overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',"count(preceding-sibling::*)=1");
  (0,sre.PrefixRules.defineRule_)("underscript","prefix.default",'[t] "Underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("index","prefix.default",
  '[t] "Index"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsuper",
  "prefix.default",'[t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("rightsub","prefix.default",'[t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsub",
  "prefix.default",'[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"',
  '../../@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("choice","prefix.default",'[t] "Choice Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("select","prefix.default",'[t] "Selection Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',
  "self::row");(0,sre.PrefixRules.defineRuleAlias_)("row","self::line");(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell")};sre.PrefixRules.getInstance().initializer=[sre.PrefixRules.initCustomFunctions_,sre.PrefixRules.initPrefixRules_];sre.SemanticTreeRules=function(){sre.MathStore.call(this)};goog.inherits(sre.SemanticTreeRules,sre.MathStore);goog.addSingletonGetter(sre.SemanticTreeRules);sre.SemanticTreeRules.mathStore=sre.SemanticTreeRules.getInstance();sre.SemanticTreeRules.defineRule_=goog.bind(sre.SemanticTreeRules.mathStore.defineRule,sre.SemanticTreeRules.mathStore);sre.SemanticTreeRules.defineRuleAlias_=goog.bind(sre.SemanticTreeRules.mathStore.defineRuleAlias,sre.SemanticTreeRules.mathStore);
  sre.SemanticTreeRules.addContextFunction_=goog.bind(sre.SemanticTreeRules.mathStore.contextFunctions.add,sre.SemanticTreeRules.mathStore.contextFunctions);sre.SemanticTreeRules.initCustomFunctions_=function(){(0,sre.SemanticTreeRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.SemanticTreeRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator)};
  sre.SemanticTreeRules.initSemanticRules_=function(){(0,sre.SemanticTreeRules.defineRule_)("stree","default.default","[n] ./*[1]","self::stree");(0,sre.SemanticTreeRules.defineRule_)("multrel","default.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.SemanticTreeRules.defineRule_)("variable-equality","default.default",'[t] "equation sequence"; [m] ./children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
  "count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.default",'[t] "equation sequence"; [m] ./children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.short",'[t] "equation sequence"; [m] ./children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
  (0,sre.SemanticTreeRules.defineRule_)("equality","default.default",'[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2]','self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.SemanticTreeRules.defineRule_)("simple-equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");
  (0,sre.SemanticTreeRules.defineRule_)("simple-equality2","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.SemanticTreeRules.defineRule_)("relseq","default.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.SemanticTreeRules.defineRule_)("binary-operation","default.default","[m] children/* (sepFunc:CTXFcontentIterator);",
  "self::infixop");(0,sre.SemanticTreeRules.defineRule_)("variable-addition","default.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-addition","default.default",'[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] ./children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',
  "count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("prefix","default.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.SemanticTreeRules.defineRule_)("negative","default.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');(0,sre.SemanticTreeRules.defineRule_)("postfix","default.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.SemanticTreeRules.defineRule_)("identifier",
  "default.default","[n] text()","self::identifier");(0,sre.SemanticTreeRules.defineRule_)("number","default.default","[n] text()","self::number");(0,sre.SemanticTreeRules.defineRule_)("font","default.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier-short","default.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
  "@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier",
  "default.default","[t] @font; [n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("omit-font","default.default","[n] self::* (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.SemanticTreeRules.defineRule_)("fraction","default.default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',
  "self::fraction");(0,sre.SemanticTreeRules.defineRule_)("superscript","default.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.SemanticTreeRules.defineRule_)("subscript","default.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");(0,sre.SemanticTreeRules.defineRule_)("ellipsis","default.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');
  (0,sre.SemanticTreeRules.defineRule_)("fence-single","default.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="vbar"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.SemanticTreeRules.defineRule_)("omit-empty",
  "default.default","[p] (pause:100)","self::empty");(0,sre.SemanticTreeRules.defineRule_)("fences-open-close","default.default",'[p] (pause:200); [t] "open"; [n] content/*[1]; [n] children/*[1]; [p] (pause:200); [t] "close"',"self::fenced",'@role="leftright"');(0,sre.SemanticTreeRules.defineRule_)("fences-open-close-in-appl","default.default","[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.SemanticTreeRules.defineRule_)("fences-neutral",
  "default.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.SemanticTreeRules.defineRule_)("omit-fences","default.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.SemanticTreeRules.defineRule_)("matrix","default.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.SemanticTreeRules.defineRule_)("matrix-row","default.default",
  '[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("matrix-cell","default.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("vector","default.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',"self::vector");(0,sre.SemanticTreeRules.defineRule_)("cases","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',
  "self::cases");(0,sre.SemanticTreeRules.defineRule_)("cases-row","default.default","[m] children/*",'self::row[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("cases-cell","default.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("row","default.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::row");(0,sre.SemanticTreeRules.defineRule_)("cases-end","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',
  "self::cases","following-sibling::*");(0,sre.SemanticTreeRules.defineRule_)("multiline","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.SemanticTreeRules.defineRule_)("line","default.default","[m] children/*","self::line");(0,sre.SemanticTreeRules.defineRule_)("table","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.SemanticTreeRules.defineRule_)("table-row",
  "default.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.SemanticTreeRules.defineRule_)("end-punct","default.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.SemanticTreeRules.defineRule_)("start-punct","default.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.SemanticTreeRules.defineRule_)("integral-punct",
  "default.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.SemanticTreeRules.defineRule_)("punctuated","default.default","[m] children/* (pause:100)","self::punctuated");(0,sre.SemanticTreeRules.defineRule_)("function","default.default","[n] text()","self::function");(0,sre.SemanticTreeRules.defineRule_)("appl","default.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.SemanticTreeRules.defineRule_)("sum-only",
  "default.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'self::limboth[@role="sum"]');(0,sre.SemanticTreeRules.defineRule_)("limboth","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',"self::limboth");(0,sre.SemanticTreeRules.defineRule_)("limlower","default.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.SemanticTreeRules.defineRule_)("limupper",
  "default.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.SemanticTreeRules.defineRule_)("largeop","default.default","[n] text()","self::largeop");(0,sre.SemanticTreeRules.defineRule_)("bigop","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',"self::bigop");(0,sre.SemanticTreeRules.defineRule_)("integral","default.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);",
  "self::integral");(0,sre.SemanticTreeRules.defineRule_)("sqrt","default.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.SemanticTreeRules.defineRule_)("square","default.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300)',"self::superscript","children/*[2][text()=2]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("cube","default.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300)',
  "self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("root","default.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.SemanticTreeRules.defineRule_)("text","default.default","[n] text(); [p] (pause:200)","self::text");(0,sre.SemanticTreeRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');
  (0,sre.SemanticTreeRules.defineRule_)("unit-square","default.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("unit-cubic","default.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",'[t] "reciprocal"; [n] children/*[1]',
  "self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",
  'preceding-sibling::*[@role="unit"]');(0,sre.SemanticTreeRules.defineRule_)("unit-combine","default.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-divide","default.default",'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',"self::fraction",'@role="unit"')};sre.SemanticTreeRules.getInstance().initializer=[sre.SemanticTreeRules.initCustomFunctions_,sre.SemanticTreeRules.initSemanticRules_];sre.SpeechRuleStores={};sre.SpeechRuleStores.RULE_SETS_={MathmlStoreRules:sre.MathmlStoreRules,SemanticTreeRules:sre.SemanticTreeRules,MathspeakRules:sre.MathspeakRules,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,AbstractionRules:sre.AbstractionRules,PrefixRules:sre.PrefixRules};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={}};goog.addSingletonGetter(sre.SpeechRuleEngine);sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRuleStores.getConstructor(a[c]);e&&e.getInstance&&b.push(e.getInstance())}this.parameterize_(b)};
  sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.log("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.activeStore_.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};
  sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(a){return a.clone()})};
  sre.SpeechRuleEngine.prototype.pushCache_=function(a,b){if(sre.Engine.getInstance().cache&&a.getAttribute){var c=a.getAttribute("id");c&&(this.cache_[c]=this.cloneCache(b))}};sre.SpeechRuleEngine.prototype.evaluateNode=function(a){var b=(new Date).getTime();a=this.evaluateNode_(a);var c=(new Date).getTime();sre.Debugger.getInstance().output("Time:",c-b);return a};sre.SpeechRuleEngine.prototype.evaluateNode_=function(a){return a?this.evaluateTree_(a):[]};
  sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();if(b.cache){var c=this.getCacheForNode_(a);if(c)return c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.activeStore_.evaluateDefault(a);this.pushCache_(a,c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return[d.name,d.dynamicCstr.toString(),a.toString()]},this));for(var b=d.action.components,c=[],e=0,f;f=
  b[e];e++){var g=[],h=f.content||"",k=f.attributes||{};f.grammar&&this.processGrammar(a,f.grammar);switch(f.type){case sre.SpeechRule.Type.NODE:(h=this.activeStore_.applyQuery(a,h))&&(g=this.evaluateTree_(h));break;case sre.SpeechRule.Type.MULTI:h=this.activeStore_.applySelector(a,h);0<h.length&&(g=this.evaluateNodeList_(h,k.sepFunc,this.constructString(a,k.separator),k.ctxtFunc,this.constructString(a,k.context)));break;case sre.SpeechRule.Type.TEXT:(h=this.constructString(a,h))&&(g=[sre.AuditoryDescription.create({text:h},
  {adjust:!0})]);break;default:g=[sre.AuditoryDescription.create({text:h})]}g[0]&&f.type!=sre.SpeechRule.Type.MULTI&&(k.context&&(g[0].context=this.constructString(a,k.context)+(g[0].context||"")),k.annotation&&(g[0].annotation=k.annotation));f.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(g,k))}this.pushCache_(a,c);return c};
  sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e){if(a==[])return[];var f=c||"",g=e||"";c=(c=this.activeStore_.contextFunctions.lookup(d))?c(a,g):function(){return g};b=(b=this.activeStore_.contextFunctions.lookup(b))?b(a,f):function(){return sre.AuditoryDescription.create({text:f},{translate:!0})};d=[];e=0;for(var h;h=a[e];e++)h=this.evaluateTree_(h),0<h.length&&(h[0].context=c()+(h[0].context||""),d=d.concat(h),e<a.length-1&&(h=b(),d=d.concat(h)));return d};
  sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b){var c={},d;for(d in sre.Engine.personalityProps){var e=parseFloat(b[sre.Engine.personalityProps[d]]);isNaN(e)||(c[sre.Engine.personalityProps[d]]=e)}for(d=0;e=a[d];d++)this.addRelativePersonality_(e,c);return a};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]?c[d]+b[d]:b[d];return a};
  sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};
  sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(b){return b.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
  sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.dynamicCstr=sre.DynamicCstr.create(c.domain,c.style);var g=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.dynamicCstr=sre.DynamicCstr.create(c.domain,c.style);return g};
  sre.SpeechRuleEngine.prototype.combineStores_=function(a){for(var b=new sre.MathStore,c=0,d;d=a[c];c++)d.initialize(),d.getSpeechRules().forEach(function(a){b.trie.addRule(a)}),b.contextFunctions.addStore(d.contextFunctions),b.customQueries.addStore(d.customQueries),b.customStrings.addStore(d.customStrings);b.setSpeechRules(b.trie.collectRules());return b};
  sre.SpeechRuleEngine.prototype.updateEngine=function(){var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):setTimeout(goog.bind(this.updateEngine,this),500)};sre.SpeechRuleEngine.prototype.processGrammar=function(a,b){var c={},d;for(d in b){var e=b[d];c[d]="string"===typeof e?this.constructString(a,e):e}sre.Grammar.getInstance().pushState(c)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a,b){var c=sre.SemanticTree.fromNode(b);return sre.SpeechRuleEngine.getInstance().evaluateNode(c.xml())};
  sre.SpeechGeneratorUtil.retrieveSpeech=function(a,b){var c=null;sre.Engine.getInstance().cache&&(c=sre.SpeechRuleEngine.getInstance().getCache(b.id.toString()));c||(c=sre.SpeechGeneratorUtil.recomputeSpeech(a,b));return sre.AuralRendering.getInstance().markup(c)};sre.SpeechGeneratorUtil.addSpeech=function(a,b){var c=sre.SpeechGeneratorUtil.retrieveSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c)};
  sre.SpeechGeneratorUtil.addPrefix=function(a,b){var c=sre.SpeechGeneratorUtil.retrievePrefix(b);c&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,c)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
  sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({domain:"prefix",style:"default",strict:!0,cache:!1,speech:!0,rules:["PrefixRules"]},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
  sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],(f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,
  f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e))}}};sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){for(var c=sre.DomUtil.querySelectorAll(a,"maction"),d=0,e;e=c[d];d++)e=e.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",e)[0].setAttribute("alternative",e)};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};
  sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));var c=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(c)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c);return c};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f),sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};
  sre.EventUtil.EventType={CLICK:"click",DBLCLICK:"dblclick",MOUSEDOWN:"mousedown",MOUSEUP:"mouseup",MOUSEOVER:"mouseover",MOUSEOUT:"mouseout",MOUSEMOVE:"mousemove",SELECTSTART:"selectstart",KEYPRESS:"keypress",KEYDOWN:"keydown",KEYUP:"keyup",TOUCHSTART:"touchstart",TOUCHMOVE:"touchmove",TOUCHEND:"touchend",TOUCHCANCEL:"touchcancel"};sre.EventUtil.Event=function(a,b,c){this.src=a;this.type=b;this.callback=c};sre.EventUtil.Event.prototype.add=function(){this.src.addEventListener(this.type,this.callback)};
  sre.EventUtil.Event.prototype.remove=function(){this.src.removeEventListener(this.type,this.callback)};sre.Focus=function(a,b){this.semanticNodes_=a;this.semanticPrimary_=b;this.domNodes_=[];this.domPrimary_=null;this.allNodes_=[]};sre.Focus.prototype.getSemanticPrimary=function(){return this.semanticPrimary_};sre.Focus.prototype.getSemanticNodes=function(){return this.semanticNodes_};sre.Focus.prototype.getNodes=function(){return this.allNodes_};sre.Focus.prototype.getDomNodes=function(){return this.domNodes_};sre.Focus.prototype.getDomPrimary=function(){return this.domPrimary_};
  sre.Focus.prototype.toString=function(){return"Primary:"+this.domPrimary_+" Nodes:"+this.domNodes_};sre.Focus.prototype.clone=function(){var a=new sre.Focus(this.semanticNodes_,this.semanticPrimary_);a.domNodes_=this.domNodes_;a.domPrimary_=this.domPrimary_;a.allNodes_=this.allNodes_;return a};
  sre.Focus.factory=function(a,b,c,d){var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=c.nodeDict;c=e(a);var e=b.map(e),g=b.map(function(a){return f[a]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
  sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k)var k=k.childNodes.map(function(a){return a.id.toString()}),l=k.map(e),f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}return f};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getFocus=function(){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.xml=sre.DomUtil.parseInput(d);this.generator=b;this.rebuilt=this.rebuildStree_();this.generator.setRebuilt(this.rebuilt);this.highlighter=c;this.active_=!1;this.keyMapping_={};this.keyMapping_[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping_[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping_[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping_[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,
  this);this.keyMapping_[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping_[sre.EventUtil.KeyCode.ENTER]=goog.bind(this.expand,this);this.keyMapping_[sre.EventUtil.KeyCode.SPACE]=goog.bind(this.depth,this);this.keyMapping_[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.dummy_=function(){};this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rebuilt.stree.root.id.toString();this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node);this.moved=
  sre.AbstractWalker.move.ENTER};sre.AbstractWalker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home"};sre.AbstractWalker.prototype.isActive=function(){return this.active_};sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};
  sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(this.highlighter.setState(this.node.id,this.primaryId()),this.generator.end(),this.toggleActive_())};sre.AbstractWalker.prototype.getFocus=function(){return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};
  sre.AbstractWalker.prototype.speech=function(){var a=this.focus_.getDomNodes(),b=this.focus_.getSemanticNodes();if(!a.length)return"";var c=a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0]);if(this.moved===sre.AbstractWalker.move.DEPTH)return this.levelAnnouncement_(c);for(var d=[],e=0,f=a.length;e<f;e++){var g=a[e],h=b[e];d.push(g?this.generator.getSpeech(g,this.xml):sre.SpeechGeneratorUtil.retrieveSpeech(this.xml,h))}c&&d.unshift(c);
  return sre.AuralRendering.getInstance().merge(d)};sre.AbstractWalker.prototype.levelAnnouncement_=function(a){var b=this.focus_.getDomPrimary(),b=this.expandable(b)&&"expandable"||this.collapsible(b)&&"collapsible"||"",c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:"Level "+this.getDepth(),personality:{}})])];a&&c.push(a);b&&c.push(b);return sre.AuralRendering.getInstance().merge(c)};
  sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping_[a];if(!a)return null;a=a();if(!a||a===this.focus_)return!1;this.focus_=a;this.moved===sre.AbstractWalker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.AbstractWalker.move.UP;return this.focus_};sre.AbstractWalker.prototype.down=function(){this.moved=sre.AbstractWalker.move.DOWN;return this.focus_};
  sre.AbstractWalker.prototype.left=function(){this.moved=sre.AbstractWalker.move.LEFT;return this.focus_};sre.AbstractWalker.prototype.right=function(){this.moved=sre.AbstractWalker.move.RIGHT;return this.focus_};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.AbstractWalker.move.REPEAT;return this.focus_.clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=sre.AbstractWalker.move.DEPTH;return this.focus_.clone()};
  sre.AbstractWalker.prototype.home=function(){this.moved=sre.AbstractWalker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.focus_.getSemanticPrimary().id.toString()};
  sre.AbstractWalker.prototype.expand=function(){var a=this.focus_.getDomPrimary(),a=this.actionable_(a);if(!a)return this.focus_;this.moved=sre.AbstractWalker.move.EXPAND;a.onclick();return this.focus_.clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
  sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=this.highlighter.getState(this.node.id);if(a){for(var b=this.rebuilt.nodeDict[a],a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.focus_=b}this.moved=sre.AbstractWalker.move.ENTER}}};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;
  sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;sre.AbstractWalker.prototype.rebuildStree_=function(){var a=new sre.RebuildStree(this.xml);sre.SpeechGeneratorUtil.connectMactions(this.node,this.xml,a.xml);return a};sre.AbstractWalker.prototype.previousLevel=function(){var a=this.focus_.getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.focus_.getSemanticPrimary().parent.id.toString()};
  sre.AbstractWalker.prototype.nextLevel=function(){var a=this.focus_.getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(a){return a.id.toString()};
  d=this.rebuilt.nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.rebuilt,this.node)};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
  sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(a){return a.toString()});return a};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};
  sre.DummyWalker.prototype.initLevels=function(){return new sre.Levels};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=new sre.Levels;this.levels.push([this.getFocus()]);this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(b){return b.id.toString()===a})})};
  sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
  sre.SemanticWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return this.makePairList(d,c);case sre.SemanticAttr.Type.PREFIXOP:return[this.focusFromId(d[0],c.concat(d))];case sre.SemanticAttr.Type.POSTFIXOP:return[this.focusFromId(d[0],d.concat(c))];case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return[this.focusFromId(d[0],
  [c[0],d[0],c[1]])];case sre.SemanticAttr.Type.CASES:return[this.focusFromId(d[0],[c[0],d[0]])];case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?d.map(goog.bind(this.singletonFocus,this)):d.length===c.length?c.map(goog.bind(this.singletonFocus,this)):this.combinePunctuations(d,c,[],[]);case sre.SemanticAttr.Type.APPL:return[this.focusFromId(d[0],[d[0],c[0]]),this.singletonFocus(d[1])];case sre.SemanticAttr.Type.ROOT:return[this.singletonFocus(d[1]),this.singletonFocus(d[0])];
  default:return d.map(goog.bind(this.singletonFocus,this))}};sre.SemanticWalker.prototype.combinePunctuations=function(a,b,c,d){if(0===a.length)return d;var e=a.shift(),f=b.shift();if(e===f)return c.push(f),this.combinePunctuations(a,b,c,d);b.unshift(f);c.push(e);if(a.length===b.length)return d.push(this.focusFromId(e,c.concat(b))),d;d.push(this.focusFromId(e,c));return this.combinePunctuations(a,b,[],d)};
  sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus())-1;return(a=this.levels.get(a))?a:null};
  sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus())+1;return(a=this.levels.get(a))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=new sre.Levels;this.levels.push([this.primaryId()]);this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
  sre.SyntaxWalker.prototype.down=function(){sre.SyntaxWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;var b=this.singletonFocus(a[0]);b&&this.levels.push(a);return b};
  sre.SyntaxWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return sre.BaseUtil.interleaveLists(d,c);case sre.SemanticAttr.Type.PREFIXOP:return c.concat(d);case sre.SemanticAttr.Type.POSTFIXOP:return d.concat(c);case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return d.unshift(c[0]),d.push(c[1]),d;case sre.SemanticAttr.Type.CASES:return d.unshift(c[0]),
  d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId())-1;return(a=this.levels.get(a))?this.singletonFocus(a):null};
  sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId())+1;return(a=this.levels.get(a))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1};goog.inherits(sre.TableWalker,sre.SyntaxWalker);sre.TableWalker.prototype.move=function(a){a=sre.TableWalker.superClass_.move.call(this,a);this.modifier=!1;return a};sre.TableWalker.prototype.up=function(){return this.eligibleCell_()?this.verticalMove_(!1):sre.TableWalker.superClass_.up.call(this)};sre.TableWalker.prototype.down=function(){return this.eligibleCell_()?this.verticalMove_(!0):sre.TableWalker.superClass_.down.call(this)};
  sre.TableWalker.prototype.eligibleCell_=function(){var a=this.getFocus().getSemanticPrimary();return this.modifier&&a.type===sre.SemanticAttr.Type.CELL&&a.role===sre.SemanticAttr.Role.TABLE};
  sre.TableWalker.prototype.verticalMove_=function(a){var b=this.previousLevel();if(!b)return null;var c=this.getFocus(),d=this.levels.indexOf(this.primaryId()),e=this.levels.pop(),b=this.levels.indexOf(b);a=this.levels.get(a?b+1:b-1);if(!a)return this.levels.push(e),null;this.setFocus(this.singletonFocus(a));a=this.nextLevel();if(!a[d])return this.setFocus(c),this.levels.push(e),null;this.levels.push(a);return this.singletonFocus(a[d])};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a]||sre.WalkerFactory.walkerMapping_.Dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={Dummy:sre.DummyWalker,Semantic:sre.SemanticWalker,Syntax:sre.SyntaxWalker,Table:sre.TableWalker};sre.System=function(){this.version="2.0.0-beta.3"};goog.addSingletonGetter(sre.System);sre.System.Error=function(a){Error.call(this);this.message=a||"";this.name="System Error"};goog.inherits(sre.System.Error,Error);sre.System.LocalStorage_=function(){this.speechGenerator=this.walker=null};goog.addSingletonGetter(sre.System.LocalStorage_);
  sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(c){b[c]=a[c]||b[c]};c("mode");sre.System.prototype.configBlocks_(a);["strict","cache","semantics"].forEach(function(c){void 0!==a[c]&&(b[c]=!!a[c])});["markup","style","domain","speech","walker"].forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);
  b.dynamicCstr=sre.DynamicCstr.create(b.domain,b.style);b.comparator=new sre.DynamicCstr.DefaultComparator(b.dynamicCstr,sre.DynamicProperties.create(["default"],["short","default"]))};
  sre.System.prototype.configBlocks_=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}};
  sre.System.prototype.toSpeech=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.System.getInstance().processXml(a):""};sre.System.prototype.processExpression=sre.System.prototype.toSpeech;sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().parseExpression_(a,!0)};
  sre.System.prototype.toJson=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)throw new sre.System.Error("JSON translation not possible in browser.");return(a=sre.System.getInstance().parseExpression_(a,!0))?sre.SystemExternal.xm.tojson(a.toString()):{}};sre.System.prototype.toDescription=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.SpeechGeneratorUtil.computeSpeech(a):[]};
  sre.System.prototype.toEnriched=function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile_(sre.System.getInstance().toSpeech,a,b)};
  sre.System.prototype.processFile=sre.System.prototype.fileToSpeech;sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toSemantic(a).toString()},a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toJson(a))},a,b)};
  sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toDescription(a))},a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toEnriched(a).toString()},a,b)};sre.System.prototype.processXml=function(a){a=sre.SpeechGeneratorUtil.computeSpeech(a);return sre.AuralRendering.getInstance().markup(a)};
  sre.System.prototype.parseExpression_=function(a,b){var c=null;try{c=sre.DomUtil.parseInput(a,sre.System.Error),b&&(c=sre.System.getInstance().getSemanticTree(c)),sre.Debugger.getInstance().generateOutput(goog.bind(function(){return c.toString()},this))}catch(d){console.log("Parse Error: "+d.message)}return c};sre.System.prototype.getSemanticTree=function(a){return sre.Semantic.xmlTree(a)};
  sre.System.prototype.inputFile_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.System.Error("Can not open file: "+a);}return b};sre.System.prototype.processFile_=function(a,b,c){b=sre.System.getInstance().inputFile_(b);a=a(b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a)}catch(d){throw new sre.System.Error("Can not write to file: "+c);}else console.log(a)};
  sre.System.prototype.walk=function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.System.LocalStorage_.getInstance().speechGenerator=b;var c=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.System.getInstance().toEnriched(a);var d=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(a);sre.System.LocalStorage_.getInstance().walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,c,d);return sre.System.LocalStorage_.getInstance().walker.speech()};
  sre.System.prototype.move=function(a){if(!sre.System.LocalStorage_.getInstance().walker)return null;var b="string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a;return!1===sre.System.LocalStorage_.getInstance().walker.move(b)?sre.AuralRendering.getInstance().error(a):sre.System.LocalStorage_.getInstance().walker.speech()};sre.Mathjax={};
  (function(){var a=sre.System.getInstance(),b=MathJax.Callback.Signal("Sre");MathJax.Extension.Sre={version:a.version,signal:b,ConfigSre:function(){sre.Engine.isReady()?MathJax.Callback.Queue(MathJax.Hub.Register.StartupHook("mml Jax Ready",{}),["Post",MathJax.Hub.Startup.signal,"Sre Ready"]):setTimeout(MathJax.Extension.Sre.ConfigSre,500)}};sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.HTTP,json:MathJax.Ajax.config.path.SRE+"/mathmaps",xpath:MathJax.Ajax.config.path.SRE+"/wgxpath.install.js",
  semantics:!0});MathJax.Extension.Sre.ConfigSre()})();
  