Website/node_modules/speech-rule-engine/lib/enrich.js

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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.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.setdifference=function(a,b){return a.filter(function(a){return 0>b.indexOf(a)})};sre.MathUtil.union=function(a,b){return a.concat(sre.MathUtil.setdifference(b,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.BaseRuleStore=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions;this.speechRules_=[];this.dynamicCstrAttribs=[sre.SpeechRule.DynamicCstrAttrib.STYLE];this.defaultTtsProps=[]};
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.speechRules_.filter(goog.bind(function(c){return this.testDynamicConstraints(b,c)&&this.testPrecondition_(a,c)},this));return 0<c.length?this.pickMostConstraint_(b,c):null};
sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),g={};g[sre.SpeechRule.DynamicCstrAttrib.STYLE]=b;var l=new sre.SpeechRule(a,g,h,f)}catch(k){if("RuleError"==k.name)return console.log("Rule Error ",d,"("+b+"):",k.message),null;throw k;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(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[new sre.AuditoryDescription({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.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&sre.BaseRuleStore.compareDynamicConstraints_(c.dynamicCstr,a.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.testDynamicConstraints=function(a,b){return Object.keys(a).every(function(c){return a[c]==b.dynamicCstr[c]||"short"==b.dynamicCstr[c]||"default"==b.dynamicCstr[c]})};sre.BaseRuleStore.prototype.getDynamicConstraintValues=function(){for(var a={},b=0,c;c=this.speechRules_[b];b++)for(var d in c.dynamicCstr){var e=[c.dynamicCstr[d]];a[d]=a[d]?sre.MathUtil.union(a[d],e):e}return a};
sre.BaseRuleStore.prototype.countMatchingDynamicConstraintValues_=function(a,b){for(var c=0,d=0,e;e=this.dynamicCstrAttribs[d];d++)if(a[e]===b.dynamicCstr[e])c++;else break;return c};
sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){b.sort(goog.bind(function(b,d){var e=this.countMatchingDynamicConstraintValues_(a,b),f=this.countMatchingDynamicConstraintValues_(a,d);return e>f?-1:f>e?1:d.precondition.constraints.length-b.precondition.constraints.length},this));sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(a){return a.name+"("+sre.SpeechRule.stringifyCstr(a.dynamicCstr)+")"})},this));return b[0]};
sre.BaseRuleStore.prototype.testPrecondition_=function(a,b){var c=b.precondition;return this.applyQuery(a,c.query)===a&&c.constraints.every(goog.bind(function(b){return this.applyConstraint(a,b)},this))};sre.BaseRuleStore.compareDynamicConstraints_=function(a,b){if(Object.keys(a).length!=Object.keys(b).length)return!1;for(var c in a)if(!b[c]||a[c]!==b[c])return!1;return!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.MathStore=function(){sre.BaseRuleStore.call(this);this.dynamicCstrAttribs=[sre.SpeechRule.DynamicCstrAttrib.DOMAIN,sre.SpeechRule.DynamicCstrAttrib.STYLE];this.defaultTtsProps=[sre.Engine.personalityProps.PITCH,sre.Engine.personalityProps.RATE]};goog.inherits(sre.MathStore,sre.BaseRuleStore);sre.SpeechRule.DynamicCstrAttrib.DOMAIN="domain";
sre.MathStore.prototype.defineRule=function(a,b,c,d,e){var f=this.parseDynamicConstraint(b),g=Array.prototype.slice.call(arguments,4),g=sre.MathStore.superClass_.defineRule.apply(this,[a,f[sre.SpeechRule.DynamicCstrAttrib.STYLE],c,d].concat(g));g.dynamicCstr=f;this.removeDuplicates(g);return g};
sre.MathStore.prototype.parseDynamicConstraint=function(a){var b=a.split(".");if(!b[0]||!b[1])throw new sre.SpeechRule.OutputError("Invalid domain assignment:"+a);return sre.MathStore.createDynamicConstraint(b[0],b[1])};sre.MathStore.createDynamicConstraint=function(a,b){var c={};c[sre.SpeechRule.DynamicCstrAttrib.DOMAIN]=a;c[sre.SpeechRule.DynamicCstrAttrib.STYLE]=b;return c};
sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseDynamicConstraint(b),f=this.findRule(goog.bind(function(b){return b.name==a&&this.testDynamicConstraints(e,b)},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.parseDynamicConstraint(b),f=this.findRule(goog.bind(function(b){return b.name==a&&this.testDynamicConstraints(e,b)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseDynamicConstraint(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 new sre.AuditoryDescription({text:a,preprocess:!0,correction:sre.SpeechRuleEngine.getInstance().getGlobalParameter("remove")||""})};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.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 d in a)b.push(a[d])});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-65536)/1024+55296,(a-65536)%1024+56320):String.fromCharCode(a)};
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.tagName=function(a){return a.tagName.toUpperCase()};sre.SemanticUtil.LEAFTAGS=["MO","MI","MN","MTEXT","MS"];sre.SemanticUtil.IGNORETAGS="MERROR MPHANTOM MSPACE MACTION MALIGNGROUP MALIGNMARK NONE MPRESCRIPTS".split(" ");sre.SemanticUtil.EMPTYTAGS=["MATH","MROW","MPADDED","MSTYLE"];
sre.SemanticUtil.hasMathTag=function(a){return!!a&&"MATH"===sre.SemanticUtil.tagName(a)};sre.SemanticUtil.hasIgnoreTag=function(a){return!!a&&-1!==sre.SemanticUtil.IGNORETAGS.indexOf(sre.SemanticUtil.tagName(a))};sre.SemanticUtil.hasEmptyTag=function(a){return!!a&&-1!==sre.SemanticUtil.EMPTYTAGS.indexOf(sre.SemanticUtil.tagName(a))};
sre.SemanticUtil.purgeNodes=function(a){for(var b=[],c=0,d;d=a[c];c++){var e=sre.SemanticUtil.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.fences=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.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.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"];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.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.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",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",
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",DOUBLESTRUCK:"double-struck",DOUBLESTRUCKITALIC:"double-struck-italic",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",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.SemanticTree=function(a){this.idCounter_=0;this.mathml=a;this.root=this.parseMathml_(a)};sre.SemanticTree.Node=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.fencePointer=this.embellished=null;this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[]};
sre.SemanticTree.Node.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.SemanticTree.prototype.xml=function(a){var b=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("<stree></stree>","text/xml");a=this.root.xml(b,a);b.childNodes[0].appendChild(a);return b};
sre.SemanticTree.Node.prototype.xml=function(a,b){var c=function(c,d){for(var g=d.map(function(c){return c.xml(a,b)}),h=a.createElement(c),l=0,k;k=g[l];l++)h.appendChild(k);return h},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.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.SemanticTree.formatXml(a)};sre.SemanticTree.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.SemanticTree.Node.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.SemanticTree.Node.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);null!==this.fencePointer&&a.setAttribute("fencepointer",this.fencePointer.toString());a.setAttribute("id",this.id)};sre.SemanticTree.prototype.createNode_=function(){return new sre.SemanticTree.Node(this.idCounter_++)};
sre.SemanticTree.prototype.replaceNode_=function(a,b){var c=a.parent;c?c.replaceChild_(a,b):this.root=b};sre.SemanticTree.Node.prototype.updateContent_=function(a){a=a.trim();if(this.textContent!=a){var b=sre.SemanticAttr.lookupMeaning(a);this.textContent=a;this.role=b.role;this.type=b.type;this.font=b.font}};sre.SemanticTree.Node.prototype.addMathmlNodes_=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};
sre.SemanticTree.Node.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.SemanticTree.Node.prototype.appendChild_=function(a){this.childNodes.push(a);this.addMathmlNodes_(a.mathml);a.parent=this};
sre.SemanticTree.Node.prototype.replaceChild_=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){b.parent=this;a.parent=null;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.SemanticTree.Node.prototype.appendContentNode_=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes_(a.mathml),a.parent=this)};
sre.SemanticTree.Node.prototype.removeContentNode_=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
sre.SemanticTree.Node.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.SemanticTree.prototype.parseMathml_=function(a){var b=sre.DomUtil.toArray(a.childNodes),c;switch(sre.SemanticUtil.tagName(a)){case "SEMANTICS":if(0<b.length){c=this.parseMathml_(b[0]);break}case "MATH":case "MROW":case "MPADDED":case "MSTYLE":return b=sre.SemanticUtil.purgeNodes(b),c=1==b.length?this.parseMathml_(b[0]):this.processRow_(this.parseMathmlChildren_(b)),c.mathml.unshift(a),c;case "MFRAC":sre.SemanticUtil.isZeroLength(a.getAttribute("linethickness"))?(c=this.makeBranchNode_(sre.SemanticAttr.Type.LINE,
[this.parseMathml_(b[0])],[]),b=this.makeBranchNode_(sre.SemanticAttr.Type.LINE,[this.parseMathml_(b[1])],[]),c=this.makeBranchNode_(sre.SemanticAttr.Type.MULTILINE,[c,b],[])):c=this.makeFractionNode_(this.parseMathml_(b[0]),this.parseMathml_(b[1]));break;case "MSUB":case "MSUP":case "MSUBSUP":case "MOVER":case "MUNDER":case "MUNDEROVER":c=this.makeLimitNode_(sre.SemanticUtil.tagName(a),this.parseMathmlChildren_(b));break;case "MROOT":c=this.makeBranchNode_(sre.SemanticAttr.Type.ROOT,[this.parseMathml_(b[1]),
this.parseMathml_(b[0])],[]);break;case "MSQRT":b=this.parseMathmlChildren_(sre.SemanticUtil.purgeNodes(b));c=this.makeBranchNode_(sre.SemanticAttr.Type.SQRT,[this.processRow_(b)],[]);break;case "MTABLE":c=this.makeBranchNode_(sre.SemanticAttr.Type.TABLE,this.parseMathmlChildren_(b),[]);sre.SemanticTree.tableIsMultiline_(c)&&this.tableToMultiline_(c);break;case "MTR":c=this.makeBranchNode_(sre.SemanticAttr.Type.ROW,this.parseMathmlChildren_(b),[]);c.role=sre.SemanticAttr.Role.TABLE;break;case "MTD":b=
this.parseMathmlChildren_(sre.SemanticUtil.purgeNodes(b));c=this.makeBranchNode_(sre.SemanticAttr.Type.CELL,[this.processRow_(b)],[]);c.role=sre.SemanticAttr.Role.TABLE;break;case "MS":case "MTEXT":c=this.makeLeafNode_(a);c.type=sre.SemanticAttr.Type.TEXT;"MS"===sre.SemanticUtil.tagName(a)&&(c.role=sre.SemanticAttr.Role.STRING);sre.SemanticTree.exprFont_(c);break;case "MI":c=this.makeIdentifierNode_(a);break;case "MN":c=this.makeLeafNode_(a);if(c.type==sre.SemanticAttr.Type.UNKNOWN||c.type==sre.SemanticAttr.Type.IDENTIFIER)c.type=
sre.SemanticAttr.Type.NUMBER;sre.SemanticTree.numberRole_(c);sre.SemanticTree.exprFont_(c);break;case "MO":c=this.makeLeafNode_(a);c.type==sre.SemanticAttr.Type.UNKNOWN&&(c.type=sre.SemanticAttr.Type.OPERATOR);break;case "MFENCED":c=this.processMfenced_(a,this.parseMathmlChildren_(sre.SemanticUtil.purgeNodes(b)));c=this.processTablesInRow_([c])[0];break;case "MENCLOSE":b=this.parseMathmlChildren_(sre.SemanticUtil.purgeNodes(b));c=this.makeBranchNode_(sre.SemanticAttr.Type.ENCLOSE,[this.processRow_(b)],
[]);c.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;break;case "MMULTISCRIPTS":c=this.processMultiScript_(b);break;case "NONE":c=this.makeEmptyNode_();break;default:c=this.makeUnprocessed_(a)}c.mathml.unshift(a);c.mathmlTree=a;return c};sre.SemanticTree.prototype.parseMathmlChildren_=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parseMathml_(d));return b};sre.SemanticTree.prototype.makeUnprocessed_=function(a){var b=this.createNode_();b.mathml=[a];return b};
sre.SemanticTree.prototype.makeEmptyNode_=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};sre.SemanticTree.prototype.makeContentNode_=function(a){var b=this.createNode_();b.updateContent_(a);return b};sre.SemanticTree.prototype.makeMultipleContentNodes_=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode_(b));return c};
sre.SemanticTree.prototype.makeLeafNode_=function(a){if(!a.textContent)return this.makeEmptyNode_();var b=this.makeContentNode_(a.textContent);b.font=a.getAttribute("mathvariant")||b.font;return b};sre.SemanticTree.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.SemanticTree.prototype.makeIdentifierNode_=function(a){var b=this.makeLeafNode_(a),c=a.getAttribute("mathvariant");if("MathML-Unit"===a.getAttribute("class"))b.type=sre.SemanticAttr.Type.IDENTIFIER,b.role=sre.SemanticAttr.Role.UNIT;else if(!c&&1==b.textContent.length&&(b.role==sre.SemanticAttr.Role.INTEGER||b.role==sre.SemanticAttr.Role.LATINLETTER||b.role==sre.SemanticAttr.Role.GREEKLETTER)&&b.font==sre.SemanticAttr.Font.NORMAL)return b.font=sre.SemanticAttr.Font.ITALIC,b;b.type==sre.SemanticAttr.Type.UNKNOWN&&
(b.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticTree.exprFont_(b);return b};sre.SemanticTree.prototype.makeImplicitNode_=function(a){a=this.getMixedNumbers_(a);a=this.combineUnits_(a);if(1==a.length)return a[0];var b=this.makeMultipleContentNodes_(a.length-1,sre.SemanticAttr.invisibleTimes()),c=this.makeInfixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(a){a.parent=c});c.contentNodes=b;return c};
sre.SemanticTree.prototype.makeInfixNode_=function(a,b){var c=this.makeBranchNode_(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticTree.getEmbellishedInner_(b).textContent);c.role=b.role;return c};sre.SemanticTree.prototype.makeConcatNode_=function(a,b,c){if(0==b.length)return a;var d=b.map(function(a){return sre.SemanticTree.getEmbellishedInner_(a).textContent}).join(" ");a=this.makeBranchNode_(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
sre.SemanticTree.prototype.makePrefixNode_=function(a,b){for(var c=sre.SemanticTree.partitionNodes_(b,sre.SemanticTree.attrPred_("role","SUBTRACTION")),d=this.makeConcatNode_(a,c.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);0<c.rel.length;)d=this.makeConcatNode_(d,[c.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),d.role=sre.SemanticAttr.Role.NEGATIVE,d=this.makeConcatNode_(d,c.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);return d};
sre.SemanticTree.prototype.makePostfixNode_=function(a,b){return b.length?this.makeConcatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};sre.SemanticTree.prototype.processRow_=function(a){a=a.filter(function(a){return!sre.SemanticTree.attrPred_("type","EMPTY")(a)});if(0==a.length)return this.makeEmptyNode_();a=this.getFencesInRow_(a);a=this.processTablesInRow_(a);a=this.getPunctuationInRow_(a);a=this.getTextInRow_(a);a=this.getFunctionsInRow_(a);return this.processRelationsInRow_(a)};
sre.SemanticTree.prototype.combineUnits_=function(a){var b=sre.SemanticTree.partitionNodes_(a,function(a){return!sre.SemanticTree.attrPred_("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=this.makeContentNode_(sre.SemanticAttr.invisibleTimes()),c=this.makeInfixNode_(c,e);c.role=sre.SemanticAttr.Role.UNIT;a.push(c)}d&&a.push(d)}while(d);return a};
sre.SemanticTree.prototype.getMixedNumbers_=function(a){var b=sre.SemanticTree.partitionNodes_(a,function(a){return sre.SemanticTree.attrPred_("type","FRACTION")(a)&&sre.SemanticTree.attrPred_("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.SemanticTree.attrPred_("type","NUMBER")(e[f])&&sre.SemanticTree.attrPred_("role","INTEGER")(e[f])?(d=this.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.SemanticTree.prototype.getTextInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticTree.partitionNodes_(a,sre.SemanticTree.attrPred_("type","TEXT"));if(0==b.rel.length)return a;a=[];var c=b.comp[0];0<c.length&&a.push(this.processRow_(c));for(var d=0;c=b.rel[d];d++)a.push(c),c=b.comp[d+1],0<c.length&&a.push(this.processRow_(c));return[this.makeDummyNode_(a)]};
sre.SemanticTree.prototype.processRelationsInRow_=function(a){var b=sre.SemanticTree.partitionNodes_(a,sre.SemanticTree.isRelation_),c=b.rel[0];if(!c)return this.processOperationsInRow_(a);if(1==a.length)return a[0];a=b.comp.map(goog.bind(this.processOperationsInRow_,this));if(b.rel.some(function(a){return!a.equals(c)}))return this.makeBranchNode_(sre.SemanticAttr.Type.MULTIREL,a,b.rel);b=this.makeBranchNode_(sre.SemanticAttr.Type.RELSEQ,a,b.rel,sre.SemanticTree.getEmbellishedInner_(c).textContent);
b.role=c.role;return b};
sre.SemanticTree.prototype.processOperationsInRow_=function(a){if(0==a.length)return this.makeEmptyNode_();if(1==a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticTree.isOperator_(a[0]);)b.push(a.shift());if(0==a.length)return this.makePrefixNode_(b.pop(),b);if(1==a.length)return this.makePrefixNode_(a[0],b);a=sre.SemanticTree.sliceNodes_(a,sre.SemanticTree.isOperator_);b=this.makePrefixNode_(this.makeImplicitNode_(a.head),b);return a.div?this.makeOperationsTree_(a.tail,b,a.div):b};
sre.SemanticTree.prototype.makeOperationsTree_=function(a,b,c,d){d=d||[];if(0==a.length)return d.unshift(c),b.type==sre.SemanticAttr.Type.INFIXOP?(d=this.makePostfixNode_(b.childNodes.pop(),d),b.appendChild_(d),b):this.makePostfixNode_(b,d);a=sre.SemanticTree.sliceNodes_(a,sre.SemanticTree.isOperator_);if(0==a.head.length)return d.push(a.div),this.makeOperationsTree_(a.tail,b,c,d);d=this.makePrefixNode_(this.makeImplicitNode_(a.head),d);b=this.appendOperand_(b,c,d);return a.div?this.makeOperationsTree_(a.tail,
b,a.div,[]):b};sre.SemanticTree.prototype.appendOperand_=function(a,b,c){return a.type!=sre.SemanticAttr.Type.INFIXOP?this.makeInfixNode_([a,c],b):this.appendExistingOperator_(a,b,c)?a:b.role==sre.SemanticAttr.Role.MULTIPLICATION?this.appendMultiplicativeOp_(a,b,c):this.appendAdditiveOp_(a,b,c)};
sre.SemanticTree.prototype.appendMultiplicativeOp_=function(a,b,c){if(a.role==sre.SemanticAttr.Role.IMPLICIT)return this.makeInfixNode_([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=this.makeInfixNode_([d.childNodes.pop(),c],b);d.appendChild_(b);return a};sre.SemanticTree.prototype.appendAdditiveOp_=function(a,b,c){return this.makeInfixNode_([a,c],b)};
sre.SemanticTree.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):this.appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c):!1};
sre.SemanticTree.prototype.getFencesInRow_=function(a){a=sre.SemanticTree.partitionNodes_(a,sre.SemanticTree.isFence_);a=sre.SemanticTree.purgeFences_(a);var b=a.comp.shift();return this.processFences_(a.rel,a.comp,[],[b])};
sre.SemanticTree.prototype.processFences_=function(a,b,c,d){if(0==a.length&&0==c.length)return d[0];var e=sre.SemanticTree.attrPred_("role","OPEN");if(0==a.length){for(a=d.shift();0<c.length;){if(e(c[0]))b=c.shift(),sre.SemanticTree.fenceToPunct_(b),a.push(b);else{c=sre.SemanticTree.sliceNodes_(c,e);var f=c.head.length-1,g=this.processNeutralFences_(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()),d.push(b.shift()),this.processFences_(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=this.makeHorizontalFencedNode_(c.pop(),a.shift(),d.pop()),d.push(d.pop().concat([e],b.shift())),this.processFences_(a,b,c,d);if(f&&g==sre.SemanticAttr.Role.CLOSE&&f.role==sre.SemanticAttr.Role.NEUTRAL&&
c.some(e))return c=sre.SemanticTree.sliceNodes_(c,e,!0),e=d.pop(),f=d.length-c.tail.length+1,g=this.processNeutralFences_(c.tail,d.slice(f)),d=d.slice(0,f),e=this.makeHorizontalFencedNode_(c.div,a.shift(),d.pop().concat(g,e)),d.push(d.pop().concat([e],b.shift())),this.processFences_(a,b,c.head,d);e=a.shift();sre.SemanticTree.fenceToPunct_(e);d.push(d.pop().concat([e],b.shift()));return this.processFences_(a,b,c,d)};
sre.SemanticTree.prototype.processNeutralFences_=function(a,b){if(0==a.length)return a;if(1==a.length)return sre.SemanticTree.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticTree.sliceNodes_(a,function(a){return a.textContent==c.textContent});if(!d.div){sre.SemanticTree.fenceToPunct_(c);var e=b.shift();e.unshift(c);return e.concat(this.processNeutralFences_(a,b))}var f=this.combineFencedContent_(c,d.div,d.head,b);return 0<d.tail.length?(e=f.shift(),d=this.processNeutralFences_(d.tail,f),e.concat(d)):
f[0]};sre.SemanticTree.prototype.combineFencedContent_=function(a,b,c,d){if(0==c.length)return a=this.makeHorizontalFencedNode_(a,b,d.shift()),d.unshift(a),d;var e=d.shift(),f=c.length-1,g=d.slice(0,f);d=d.slice(f);f=d.shift();c=this.processNeutralFences_(c,g);e.push.apply(e,c);e.push.apply(e,f);a=this.makeHorizontalFencedNode_(a,b,e);0<d.length?d[0].unshift(a):d=[[a]];return d};
sre.SemanticTree.fenceToPunct_=function(a){var b;switch(a.role){case sre.SemanticAttr.Role.NEUTRAL:b=sre.SemanticAttr.Role.VBAR;break;case sre.SemanticAttr.Role.OPEN:b=sre.SemanticAttr.Role.OPENFENCE;break;case sre.SemanticAttr.Role.CLOSE:b=sre.SemanticAttr.Role.CLOSEFENCE;break;default:return}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.SemanticTree.prototype.makeHorizontalFencedNode_=function(a,b,c){c=this.processRow_(c);b=this.makeBranchNode_(sre.SemanticAttr.Type.FENCED,[c],[a,b]);b.role=a.role==sre.SemanticAttr.Role.OPEN?sre.SemanticAttr.Role.LEFTRIGHT:a.role;return sre.SemanticTree.rewriteFencedNode_(b)};
sre.SemanticTree.prototype.getPunctuationInRow_=function(a){var b=sre.SemanticTree.partitionNodes_(a,function(a){return sre.SemanticTree.isPunctuation_(a)&&!sre.SemanticTree.attrPred_("role","ELLIPSIS")(a)});if(0==b.rel.length)return a;a=[];var c=b.comp.shift();0<c.length&&a.push(this.processRow_(c));for(var d=0;0<b.comp.length;)a.push(b.rel[d++]),c=b.comp.shift(),0<c.length&&a.push(this.processRow_(c));return[this.makePunctuatedNode_(a,b.rel)]};
sre.SemanticTree.prototype.makePunctuatedNode_=function(a,b){var c=this.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}1==b.length&&a[0].type==sre.SemanticAttr.Type.PUNCTUATION?c.role=sre.SemanticAttr.Role.STARTPUNCT:1==b.length&&a[a.length-1].type==sre.SemanticAttr.Type.PUNCTUATION?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticTree.attrPred_("role",
"DUMMY"))?c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticTree.prototype.makeDummyNode_=function(a){var b=this.makeMultipleContentNodes_(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(a){a.role=sre.SemanticAttr.Role.DUMMY});return this.makePunctuatedNode_(a,b)};
sre.SemanticTree.prototype.makeLimitNode_=function(a,b){var c=b[0],d=sre.SemanticTree.attrPred_("type","FUNCTION")(c),d=sre.SemanticTree.attrPred_("type","LARGEOP")(c)||sre.SemanticTree.attrPred_("type","LIMBOTH")(c)||sre.SemanticTree.attrPred_("type","LIMLOWER")(c)||sre.SemanticTree.attrPred_("type","LIMUPPER")(c)||d&&sre.SemanticTree.attrPred_("role","LIMFUNC")(c),e=sre.SemanticAttr.Type.UNKNOWN;if(d)switch(a){case "MSUB":case "MUNDER":e=sre.SemanticAttr.Type.LIMLOWER;break;case "MSUP":case "MOVER":e=
sre.SemanticAttr.Type.LIMUPPER;break;case "MSUBSUP":case "MUNDEROVER":e=sre.SemanticAttr.Type.LIMBOTH}else switch(a){case "MSUB":e=sre.SemanticAttr.Type.SUBSCRIPT;break;case "MSUP":e=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MSUBSUP":var f=this.makeBranchNode_(sre.SemanticAttr.Type.SUBSCRIPT,[c,b[1]],[]);f.role=sre.SemanticAttr.Role.SUBSUP;b=[f,b[2]];e=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MOVER":e=sre.SemanticAttr.Type.OVERSCORE;sre.SemanticTree.isAccent_(b[1])&&(b[1].role=sre.SemanticAttr.Role.OVERACCENT);
break;case "MUNDER":e=sre.SemanticAttr.Type.UNDERSCORE;sre.SemanticTree.isAccent_(b[1])&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT);break;default:f=sre.SemanticTree.isAccent_(b[1]),d=sre.SemanticTree.isAccent_(b[2]),f&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT),d&&(b[2].role=sre.SemanticAttr.Role.OVERACCENT),d&&!f?(f=this.makeBranchNode_(sre.SemanticAttr.Type.OVERSCORE,[c,b[2]],[]),f.role=c.role,b=[f,b[1]],e=sre.SemanticAttr.Type.UNDERSCORE):(f=this.makeBranchNode_(sre.SemanticAttr.Type.UNDERSCORE,
[c,b[1]],[]),f.role=c.role,b=[f,b[2]],e=sre.SemanticAttr.Type.OVERSCORE)}d=this.makeBranchNode_(e,b,[]);e=sre.SemanticTree.isEmbellished_(c);f&&(f.embellished=e);d.embellished=e;d.role=c.role;return d};
sre.SemanticTree.isAccent_=function(a){return sre.SemanticTree.attrPred_("type","FENCE")(a)||sre.SemanticTree.attrPred_("type","PUNCTUATION")(a)||sre.SemanticTree.attrPred_("type","OPERATOR")(a)||sre.SemanticTree.attrPred_("type","RELATION")(a)||sre.SemanticTree.attrPred_("type","IDENTIFIER")(a)&&sre.SemanticTree.attrPred_("role","UNKNOWN")(a)&&!a.textContent.match(new RegExp(sre.SemanticAttr.getInstance().allLetters.join("|")))};
sre.SemanticTree.prototype.getFunctionsInRow_=function(a,b){var c=b||[];if(0==a.length)return c;var d=a.shift(),e=sre.SemanticTree.classifyFunction_(d,a);if(!e)return c.push(d),this.getFunctionsInRow_(a,c);var f=this.getFunctionsInRow_(a,[]),d=this.getFunctionArgs_(d,f,e);return c.concat(d)};
sre.SemanticTree.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.SemanticTree.propagateFunctionRole_(a,c);return"prefix"}switch(a.role){case sre.SemanticAttr.Role.INTEGRAL:return"integral";
case sre.SemanticAttr.Role.SUM:return"bigop";case sre.SemanticAttr.Role.PREFIXFUNC:case sre.SemanticAttr.Role.LIMFUNC:return"prefix";default:if(a.type==sre.SemanticAttr.Type.IDENTIFIER||a.role==sre.SemanticAttr.Role.LATINLETTER||a.role==sre.SemanticAttr.Role.GREEKLETTER||a.role==sre.SemanticAttr.Role.OTHERLETTER)return"simple"}return""};
sre.SemanticTree.propagateFunctionRole_=function(a,b){a&&(sre.SemanticTree.attrPred_("role","SUBSUP")(a)||(a.role=b),sre.SemanticTree.propagateFunctionRole_(a.childNodes[0],b))};
sre.SemanticTree.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=this.getIntegralArgs_(b);var d=this.processRow_(b.integrand);a=this.makeIntegralNode_(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=this.makeFunctionNode_(a,b.shift()),b.unshift(a),b;case "bigop":d=sre.SemanticTree.sliceNodes_(b,sre.SemanticTree.prefixFunctionBoundary_);if(!d.head.length)return b.unshift(a),b;b=this.processRow_(d.head);a="prefix"==
c?this.makeFunctionNode_(a,b):this.makeBigOpNode_(a,b);d.div&&d.tail.unshift(d.div);d.tail.unshift(a);return d.tail;case "simple":if(0==b.length)return[a];d=b[0];if(d.type==sre.SemanticAttr.Type.FENCED&&d.role!=sre.SemanticAttr.Role.NEUTRAL&&this.simpleFunctionHeuristic_(d))return sre.SemanticTree.propagateFunctionRole_(a,sre.SemanticAttr.Role.SIMPLEFUNC),a=this.makeFunctionNode_(a,b.shift()),b.unshift(a),b;b.unshift(a);return b}};
sre.SemanticTree.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.SemanticTree.generalFunctionBoundary_(d))return{integrand:c,intvar:null,rest:a};if(sre.SemanticTree.integralDxBoundarySingle_(d))return{integrand:c,intvar:d,rest:a.slice(1)};if(a[1]&&sre.SemanticTree.integralDxBoundary_(d,a[1])){var e=this.makeContentNode_(sre.SemanticAttr.invisibleComma()),d=this.makePunctuatedNode_([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 this.getIntegralArgs_(a,c)};
sre.SemanticTree.prototype.makeFunctionNode_=function(a,b){var c=this.makeContentNode_(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticTree.getFunctionOp_(a,function(a){return sre.SemanticTree.attrPred_("type","FUNCTION")(a)||sre.SemanticTree.attrPred_("type","IDENTIFIER")(a)&&sre.SemanticTree.attrPred_("role","SIMPLEFUNC")(a)}),c=this.makeBranchNode_(sre.SemanticAttr.Type.APPL,[a,b],d?[c,d]:[c]);c.role=a.role;
return c};sre.SemanticTree.prototype.makeBigOpNode_=function(a,b){var c=sre.SemanticTree.getFunctionOp_(a,sre.SemanticTree.attrPred_("type","LARGEOP")),c=this.makeBranchNode_(sre.SemanticAttr.Type.BIGOP,[a,b],c?[c]:[]);c.role=a.role;return c};
sre.SemanticTree.prototype.makeIntegralNode_=function(a,b,c){b=b||this.makeEmptyNode_();c=c||this.makeEmptyNode_();var d=sre.SemanticTree.getFunctionOp_(a,sre.SemanticTree.attrPred_("type","LARGEOP"));b=this.makeBranchNode_(sre.SemanticAttr.Type.INTEGRAL,[a,b,c],d?[d]:[]);b.role=a.role;return b};sre.SemanticTree.getFunctionOp_=function(a,b){if(b(a))return a;for(var c=0,d;d=a.childNodes[c];c++)if(d=sre.SemanticTree.getFunctionOp_(d,b))return d;return null};
sre.SemanticTree.prototype.simpleFunctionHeuristic_=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.SemanticTree.attrPred_("type","INFIXOP"))?!0:!1};sre.SemanticTree.prefixFunctionBoundary_=function(a){return sre.SemanticTree.isOperator_(a)||sre.SemanticTree.generalFunctionBoundary_(a)};
sre.SemanticTree.integralDxBoundary_=function(a,b){return!!b&&sre.SemanticTree.attrPred_("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticTree.integralDxBoundarySingle_=function(a){if(sre.SemanticTree.attrPred_("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};sre.SemanticTree.generalFunctionBoundary_=function(a){return sre.SemanticTree.isRelation_(a)||sre.SemanticTree.isPunctuation_(a)};
sre.SemanticTree.prototype.processTablesInRow_=function(a){a=sre.SemanticTree.partitionNodes_(a,sre.SemanticTree.tableIsMatrixOrVector_);for(var b=[],c=0,d;d=a.rel[c];c++)b=b.concat(a.comp.shift()),b.push(this.tableToMatrixOrVector_(d));b=b.concat(a.comp.shift());a=sre.SemanticTree.partitionNodes_(b,sre.SemanticTree.isTableOrMultiline_);b=[];for(c=0;d=a.rel[c];c++){var e=a.comp.shift();sre.SemanticTree.tableIsCases_(d,e)&&this.tableToCases_(d,e.pop());b=b.concat(e);b.push(d)}return b.concat(a.comp.shift())};
sre.SemanticTree.isTableOrMultiline_=function(a){return!!a&&(sre.SemanticTree.attrPred_("type","TABLE")(a)||sre.SemanticTree.attrPred_("type","MULTILINE")(a))};sre.SemanticTree.tableIsMatrixOrVector_=function(a){return!!a&&sre.SemanticTree.attrPred_("type","FENCED")(a)&&(sre.SemanticTree.attrPred_("role","LEFTRIGHT")(a)||sre.SemanticTree.attrPred_("role","NEUTRAL")(a))&&1==a.childNodes.length&&sre.SemanticTree.isTableOrMultiline_(a.childNodes[0])};
sre.SemanticTree.prototype.tableToMatrixOrVector_=function(a){var b=a.childNodes[0];sre.SemanticTree.attrPred_("type","MULTILINE")(b)?this.tableToVector_(a):this.tableToMatrix_(a);a.contentNodes.forEach(goog.bind(b.appendContentNode_,b));a=0;for(var c;c=b.childNodes[a];a++)sre.SemanticTree.assignRoleToRow_(c,sre.SemanticTree.getComponentRoles_(b));return b};
sre.SemanticTree.prototype.tableToVector_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.VECTOR;1===b.childNodes.length?this.tableToSquare_(a):2===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.BINOMIAL)};
sre.SemanticTree.prototype.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?this.tableToSquare_(a):b.childNodes&&1===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.ROWVECTOR)};
sre.SemanticTree.prototype.tableToSquare_=function(a){var b=a.childNodes[0];sre.SemanticTree.attrPred_("role","NEUTRAL")(a)?b.role=sre.SemanticAttr.Role.DETERMINANT:b.role=sre.SemanticAttr.Role.SQUAREMATRIX};sre.SemanticTree.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.SemanticTree.tableIsCases_=function(a,b){return 0<b.length&&sre.SemanticTree.attrPred_("role","OPENFENCE")(b[b.length-1])};sre.SemanticTree.prototype.tableToCases_=function(a,b){for(var c=0,d;d=a.childNodes[c];c++)sre.SemanticTree.assignRoleToRow_(d,sre.SemanticAttr.Role.CASES);a.type=sre.SemanticAttr.Type.CASES;a.appendContentNode_(b);return a};sre.SemanticTree.tableIsMultiline_=function(a){return a.childNodes.every(function(a){return 1>=a.childNodes.length})};
sre.SemanticTree.prototype.tableToMultiline_=function(a){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticTree.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE)};sre.SemanticTree.rowToLine_=function(a,b){var c=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticTree.attrPred_("type","ROW")(a)&&1==a.childNodes.length&&sre.SemanticTree.attrPred_("type","CELL")(a.childNodes[0])&&(a.type=sre.SemanticAttr.Type.LINE,a.role=c,a.childNodes=a.childNodes[0].childNodes)};
sre.SemanticTree.assignRoleToRow_=function(a,b){if(sre.SemanticTree.attrPred_("type","LINE")(a))a.role=b;else if(sre.SemanticTree.attrPred_("type","ROW")(a)){a.role=b;var c=sre.SemanticTree.attrPred_("type","CELL");a.childNodes.forEach(function(a){c(a)&&(a.role=b)})}};
sre.SemanticTree.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.SemanticTree.partitionNodes_=function(a,b){var c=a,d=[],e=[];do{var f=sre.SemanticTree.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.SemanticTree.attrPred_=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.SemanticTree.prototype.processMfenced_=function(a,b){var c=sre.SemanticTree.getAttribute_(a,"separators",","),d=sre.SemanticTree.getAttribute_(a,"open","("),e=sre.SemanticTree.getAttribute_(a,"close",")");if(c&&0<b.length){var f=sre.MathUtil.nextSeparatorFunction(c),g=[b.shift()];b.forEach(goog.bind(function(a){g.push(this.makeContentNode_(f()));g.push(a)},this));b=g}if(d&&e)return this.makeHorizontalFencedNode_(this.makeContentNode_(d),this.makeContentNode_(e),b);d&&b.unshift(this.makeContentNode_(d));
e&&b.push(this.makeContentNode_(e));return this.processRow_(b)};sre.SemanticTree.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};
sre.SemanticTree.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.SemanticTree.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.SemanticTree.prototype.makeFractionNode_=function(a,b){var c=this.makeBranchNode_(sre.SemanticAttr.Type.FRACTION,[a,b],[]);c.role=c.childNodes.every(function(a){return sre.SemanticTree.attrPred_("role","INTEGER")(a)})?sre.SemanticAttr.Role.VULGAR:c.childNodes.every(function(a){return sre.SemanticTree.attrPred_("role","UNIT")(a)})?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;return c};
sre.SemanticTree.prototype.processMultiScript_=function(a){if(!a.length)return this.makeEmptyNode_();var b=this.parseMathml_(a.shift());if(!a.length)return b;for(var c=[],d=[],e=[],f=[],g=!1,h=0,l=0,k;k=a[l];l++)"MPRESCRIPTS"===sre.SemanticUtil.tagName(k)?(g=!0,h=0):(g?h&1?c.push(k):d.push(k):h&1?e.push(k):f.push(k),h++);if(!sre.SemanticUtil.purgeNodes(c).length&&!sre.SemanticUtil.purgeNodes(d).length){a=sre.SemanticUtil.purgeNodes(e);c=sre.SemanticUtil.purgeNodes(f);if(!a.length&&!c.length)return b;
d=c.length?a.length?"MSUBSUP":"MSUB":"MSUP";b=[b];c.length&&b.push(this.makeScriptNode_(f,sre.SemanticAttr.Role.RIGHTSUB,!0));a.length&&b.push(this.makeScriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER,!0));return this.makeLimitNode_(d,b)}e=this.makeBranchNode_(sre.SemanticAttr.Type.TENSOR,[b,this.makeScriptNode_(d,sre.SemanticAttr.Role.LEFTSUB),this.makeScriptNode_(c,sre.SemanticAttr.Role.LEFTSUPER),this.makeScriptNode_(f,sre.SemanticAttr.Role.RIGHTSUB),this.makeScriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER)],
[]);e.role=b.role;e.embellished=sre.SemanticTree.isEmbellished_(b);return e};sre.SemanticTree.prototype.makeScriptNode_=function(a,b,c){switch(a.length){case 0:a=this.makeEmptyNode_();break;case 1:a=this.parseMathml_(a[0]);if(c)return a;break;default:a=this.makeDummyNode_(this.parseMathmlChildren_(a))}a.role=b;return a};sre.SemanticTree.isEmbellished_=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};
sre.SemanticTree.isOperator_=function(a){return sre.SemanticTree.attrPred_("type","OPERATOR")(a)||sre.SemanticTree.attrPred_("embellished","OPERATOR")(a)};sre.SemanticTree.isRelation_=function(a){return sre.SemanticTree.attrPred_("type","RELATION")(a)||sre.SemanticTree.attrPred_("embellished","RELATION")(a)};sre.SemanticTree.isPunctuation_=function(a){return sre.SemanticTree.attrPred_("type","PUNCTUATION")(a)||sre.SemanticTree.attrPred_("embellished","PUNCTUATION")(a)};
sre.SemanticTree.isFence_=function(a){return sre.SemanticTree.attrPred_("type","FENCE")(a)||sre.SemanticTree.attrPred_("embellished","FENCE")(a)};sre.SemanticTree.getEmbellishedInner_=function(a){return a&&a.embellished&&0<a.childNodes.length?sre.SemanticTree.getEmbellishedInner_(a.childNodes[0]):a};
sre.SemanticTree.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.SemanticTree.isElligibleFence_(e)?(c.push(e),d.push(f)):(sre.SemanticTree.fenceToPunct_(e),f.push(e),f=f.concat(a.shift()),a.unshift(f))}d.push(a.shift());return{rel:c,comp:d}};
sre.SemanticTree.isElligibleFence_=function(a){if(!a||!sre.SemanticTree.isFence_(a))return!1;if(!a.embellished)return!0;var b=function(a){return a.embellished?!(!sre.SemanticTree.attrPred_("type","TENSOR")(a)||sre.SemanticTree.attrPred_("type","EMPTY")(a.childNodes[1])&&sre.SemanticTree.attrPred_("type","EMPTY")(a.childNodes[2])||sre.SemanticTree.attrPred_("type","EMPTY")(a.childNodes[3])&&sre.SemanticTree.attrPred_("type","EMPTY")(a.childNodes[4]))||sre.SemanticTree.attrPred_("role","CLOSE")(a)&&
sre.SemanticTree.attrPred_("type","TENSOR")(a)||sre.SemanticTree.attrPred_("role","OPEN")(a)&&(sre.SemanticTree.attrPred_("type","SUBSCRIPT")(a)||sre.SemanticTree.attrPred_("type","SUPERSCRIPT")(a))?!1:b(a.childNodes[0]):!0};return b(a)};sre.SemanticTree.rewriteFencedNode_=function(a){var b=a.contentNodes[1],c=sre.SemanticTree.rewriteFence_(a,a.contentNodes[0]);a.contentNodes[0]=c.fence;c=sre.SemanticTree.rewriteFence_(c.node,b);a.contentNodes[1]=c.fence;return c.node};
sre.SemanticTree.rewriteFence_=function(a,b){if(!b.embellished)return{node:a,fence:b};var c=b.childNodes[0],d=sre.SemanticTree.rewriteFence_(a,c);if(sre.SemanticTree.attrPred_("type","SUPERSCRIPT")(b)||sre.SemanticTree.attrPred_("type","SUBSCRIPT")(b)||sre.SemanticTree.attrPred_("type","TENSOR")(b))return sre.SemanticTree.attrPred_("role","SUBSUP")(b)||(b.role=a.role),b.replaceChild_(c,d.node),sre.SemanticTree.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.SemanticTree.propagateFencePointer_=function(a,b){a.fencePointer=b.fencePointer||b.id;a.embellished=null};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree(0)};
sre.SemanticTree.Node.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.SemanticTree.Node.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.getTree=function(a){return(new sre.SemanticTree(a)).xml()};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return new sre.SemanticTree(a)};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};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.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.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.textContent];if(c)return c.lookupRule(a,b)};
sre.MathCompoundStore.prototype.lookupString=function(a,b){var c=sre.XpathUtil.currentDocument?sre.XpathUtil.currentDocument.createTextNode(a):sre.SystemExternal.document.createTextNode(a);return(c=this.lookupRule(c,b))?c.action.components.map(function(a){return a.content.slice(1,-1)}).join(" "):""};
sre.MathCompoundStore.prototype.getDynamicConstraintValues=function(){var a={},b;for(b in this.subStores_){var c=this.subStores_[b].getDynamicConstraintValues(),d;for(d in c){var e=a[d];a[d]=e?sre.MathUtil.union(e,c[d]):c[d]}}return a};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();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));this.allDomains=[];this.allStyles=[];this.getDynamicConstraintValues()};
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.MATHMAP_PATH_=sre.SystemExternal.jsonPath;sre.MathMap.SYMBOLS_PATH_=sre.MathMap.MATHMAP_PATH_+"symbols/";sre.MathMap.FUNCTIONS_PATH_=sre.MathMap.MATHMAP_PATH_+"functions/";sre.MathMap.UNITS_PATH_=sre.MathMap.MATHMAP_PATH_+"units/";sre.MathMap.SYMBOLS_FILES_="greek-capital.json greek-small.json greek-scripts.json greek-mathfonts.json greek-symbols.json hebrew_letters.json latin-lower-double-accent.json latin-lower-normal.json latin-lower-phonetic.json latin-lower-single-accent.json latin-rest.json latin-upper-double-accent.json latin-upper-normal.json latin-upper-single-accent.json latin-mathfonts.json math_angles.json math_arrows.json math_characters.json math_delimiters.json math_digits.json math_geometry.json math_harpoons.json math_non_characters.json math_symbols.json math_whitespace.json other_stars.json".split(" ");
sre.MathMap.FUNCTIONS_FILES_=["algebra.json","elementary.json","hyperbolic.json","trigonometry.json"];sre.MathMap.UNITS_FILES_="energy.json length.json memory.json other.json speed.json temperature.json time.json volume.json weight.json".split(" ");
sre.MathMap.retrieveFiles=function(a,b,c){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:sre.MathMap.toFetch_+=a.length;for(d=0;e=a[d];d++)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.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.MathMap.prototype.getDynamicConstraintValues=function(){if(sre.MathMap.toFetch_)setTimeout(goog.bind(this.getDynamicConstraintValues,this),300);else{var a=this.store.getDynamicConstraintValues();this.allDomains=a.domain;this.allStyles=a.style}};sre.AuditoryDescription=function(a){this.context=a.context?a.context:"";this.text=a.text?a.text:"";this.userValue=a.userValue?a.userValue:"";this.annotation=a.annotation?a.annotation:"";this.correction=a.correction?a.correction:"";this.personality=a.personality;this.preprocess=!!a.preprocess};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.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.AuditoryDescription.toSimpleString=function(a,b){var c=""===b?"":b||" ";sre.AuditoryDescription.preprocessDescriptionList_(a);return sre.BaseUtil.removeEmpty(a.map(function(a){return a.descriptionString()})).join(c)};
sre.AuditoryDescription.preprocessString_=function(a){if("mathspeak"==sre.Engine.getInstance().domain&&a.match(/^\d{1}$/))return a;var b=sre.MathStore.createDynamicConstraint(sre.Engine.getInstance().domain,sre.Engine.getInstance().style);return sre.MathMap.getInstance().store.lookupString(a,b)||a};sre.AuditoryDescription.processCorrections_=function(a,b){if(!b||!a)return a;var c=b.split(/ |-/),c=new RegExp("^"+c.join("( |-)")+"( |-)");return a.replace(c,"")};
sre.AuditoryDescription.preprocessDescription_=function(a){a.annotation&&(a.text+=":"+a.annotation);a.preprocess&&(a.text=sre.AuditoryDescription.processCorrections_(sre.AuditoryDescription.preprocessString_(a.text),a.correction),a.preprocess=!1)};sre.AuditoryDescription.preprocessDescriptionList_=function(a){for(var b=0,c;c=a[b];b++)sre.AuditoryDescription.preprocessDescription_(c)};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.dynamicCstr={};this.dynamicCstr[sre.SpeechRule.DynamicCstrAttrib.STYLE]="short";this.globalParameters_={};this.cache_={}};goog.addSingletonGetter(sre.SpeechRuleEngine);sre.SpeechRuleEngine.prototype.setGlobalParameter=function(a,b){this.globalParameters_[a]=b};sre.SpeechRuleEngine.prototype.getGlobalParameter=function(a){return this.globalParameters_[a]};
sre.SpeechRuleEngine.prototype.parameterize=function(a){try{a.initialize()}catch(b){if("StoreError"==b.name)console.log("Store Error:",b.message);else throw b;}this.activeStore_=a};sre.SpeechRuleEngine.prototype.setDynamicConstraint=function(a){a&&(this.dynamicCstr=a)};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.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 this.cache_[a]};sre.SpeechRuleEngine.prototype.pushCache_=function(a,b){if(a.getAttribute){var c=a.getAttribute("id");c&&(this.cache_[c]=b)}};
sre.SpeechRuleEngine.prototype.evaluateNode=function(a){return a?this.evaluateTree_(a):[]};
sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){if(sre.Engine.getInstance().withCache){var b=this.getCacheForNode_(a);if(b)return b}var c=this.activeStore_.lookupRule(a,this.dynamicCstr);if(!c)return b=this.activeStore_.evaluateDefault(a),this.pushCache_(a,b),b;sre.Debugger.getInstance().generateOutput(goog.bind(function(){return[c.name,sre.SpeechRule.stringifyCstr(c.dynamicCstr),a.toString()]},this));for(var d=c.action.components,b=[],e=0,f;f=d[e];e++){var g=[],h=f.content||"";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,f.sepFunc,this.constructString(a,f.separator),f.ctxtFunc,this.constructString(a,f.context)));break;case sre.SpeechRule.Type.TEXT:(h=this.constructString(a,h))&&(g=[new sre.AuditoryDescription({text:h})]);break;default:g=[new sre.AuditoryDescription({text:h})]}g[0]&&f.type!=sre.SpeechRule.Type.MULTI&&(f.context&&(g[0].context=
this.constructString(a,f.context)+(g[0].context||"")),f.annotation&&(g[0].annotation=f.annotation),f.preprocess&&(g[0].preprocess=!0));b=b.concat(this.addPersonality_(g,f))}this.pushCache_(a,b);return b};
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 new sre.AuditoryDescription({text:f,preprocess:!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[d]=e)}a.forEach(goog.bind(function(a){this.addRelativePersonality_(a,c)},this));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:",sre.SpeechRule.stringifyCstr(f.dynamicCstr),"number",e),c.debugSpeechRule(f,b)};sre.EnrichMathml=function(){};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",CHILDREN:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"children",COLLAPSED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"collapsed",CONTENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"content",FONT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"font",ID:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"id",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",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=sre.Engine.getInstance();c.style="default";c.domain="mathspeak";c.semantics=!0;sre.SpeechRuleEngine.getInstance().clearCache();sre.SpeechRuleEngine.getInstance().parameterize(sre.MathmlStore.getInstance());sre.SpeechRuleEngine.getInstance().dynamicCstr=sre.MathStore.createDynamicConstraint(c.domain,c.style);var d=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(d,a,b,
!0)});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;b.valid&&sre.SemanticUtil.hasEmptyTag(c)||(sre.Debugger.getInstance().output("Walktree Case 1.1"),c=sre.SystemExternal.document.createElement("mrow"),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.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]),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.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{valid:!1,node:null};a=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===a)return{valid:!0,node:b};var c=sre.EnrichMathml.pathToRoot_(b),b=sre.EnrichMathml.pathToRoot_(a,function(a){return-1!==c.indexOf(a)});a=b[0];var d=c.indexOf(a);return-1===d?{valid:!1,node:null}:{valid:sre.EnrichMathml.validLca_(c[d+1],b[1]),node:a}};
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.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.simpleCollapseStructure=function(a){return"number"===typeof a};sre.EnrichMathml.interleaveIds=function(a,b){return sre.BaseUtil.interleaveLists(sre.EnrichMathml.collapsedLeafs(a),sre.EnrichMathml.collapsedLeafs(b))};sre.EnrichMathml.collapsedLeafs=function(a){var b=function(a){return sre.EnrichMathml.simpleCollapseStructure(a)?[a]:a.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(a,d){return a.concat(b(d))},[])};
sre.EnrichMathml.addCollapsedAttribute=function(a,b){var c=function(a){return sre.EnrichMathml.simpleCollapseStructure(a)?a.toString():"("+a.map(c).join(" ")+")"};a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,c(b))};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.SystemExternal.document.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);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);
sre.Engine.getInstance().mathmlSpeech&&sre.EnrichMathml.addSpeech(a,b)};sre.EnrichMathml.addSpeech=function(a,b){var c=sre.DomUtil.parseInput("<stree>"+b.toString()+"</stree>",sre.EnrichMathml.Error),c=sre.SpeechRuleEngine.getInstance().evaluateNode(c),c=sre.AuditoryDescription.toSimpleString(c);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c)};
sre.EnrichMathml.combineContentChildren_=function(a,b,c){sre.EnrichMathml.setOperatorAttribute_(a,b);switch(a.type){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.SemanticAttr.Type.PREFIXOP:return b.concat(c);case sre.SemanticAttr.Type.POSTFIXOP:return c.concat(b);case sre.SemanticAttr.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.SemanticAttr.Type.PUNCTUATED:if(a.role===sre.SemanticAttr.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.SemanticAttr.Type.APPL:return[c[0],b[0],c[1]];case sre.SemanticAttr.Type.ROOT:return[c[1],c[0]];default:return c}};
sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.SemanticUtil.tagName(a))return a;for(var b=sre.SystemExternal.document.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.SystemExternal.document.createElement("mo"),c=sre.SystemExternal.document.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;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.SemanticTree.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.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.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?[new sre.AuditoryDescription({text:c(),preprocess:!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?[new sre.AuditoryDescription({text:b,preprocess:!0})]:[];if(!a)return e;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);return e.concat(a)}};
sre.MathmlStoreUtil.hideFont=function(a){if(a.hasAttribute("font")){var b=a.getAttribute("font");a.removeAttribute("font");sre.SpeechRuleEngine.getInstance().setGlobalParameter("remove",b);a.setAttribute("hiddenfont",b)}return[a]};sre.MathmlStoreUtil.showFont=function(a){if(a.hasAttribute("hiddenfont")){var b=a.getAttribute("hiddenfont");a.removeAttribute("hiddenfont");sre.SpeechRuleEngine.getInstance().setGlobalParameter("remove","");a.setAttribute("font",b)}return""};sre.MathmlStoreRules=function(){sre.MathmlStoreRules.initCustomFunctions_();sre.MathmlStoreRules.initDefaultRules_();sre.MathmlStoreRules.initMathjaxRules_();sre.MathmlStoreRules.initAliases_();sre.MathmlStoreRules.initSpecializationRules_()};goog.addSingletonGetter(sre.MathmlStoreRules);sre.MathmlStoreRules.mathStore=sre.MathmlStore.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() (annotation:unit, preprocess)","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)');
(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mrow","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msqrt",'[t] "Square root of"; [m] ./* (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mroot",'[t] "root of order"; [n] ./*[2]; [t] "of";[n] ./*[1] (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mfrac",' [p] (pause:400); [n] ./*[1] (pitch:0.3); [t] "divided by"; [n] ./*[2] (pitch:-0.3); [p] (pause:400)');(0,sre.MathmlStoreRules.defineRule_)("mfrac",
"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",'[t] concat(substring(@open, 0 div boolean(@open)), substring("(", 0 div not(boolean(@open)))) (context:"opening"); [m] ./* (separator:@separators); [t] concat(substring(@close, 0 div boolean(@close)), substring(")", 0 div not(boolean(@close)))) (context:"closing")',
"self::mathml:mfenced","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] concat(substring(@open, 0 div boolean(@open)), substring("(", 0 div not(boolean(@open)))) (context:"opening"); [m] ./*; [t] concat(substring(@close, 0 div boolean(@close)), substring(")", 0 div not(boolean(@close)))) (context:"closing")',"self::mathml:mfenced","@separators","string-length(string(@separators))=0",'string(@separators)=""');(0,sre.MathmlStoreRules.defineRule_)("mfenced-empty",
"default.default",'[t] concat(substring(@open, 0 div boolean(@open)), substring("(", 0 div not(boolean(@open)))) (context:"opening"); [m] ./*;[t] concat(substring(@close, 0 div boolean(@close)), substring(")", 0 div not(boolean(@close)))) (context:"closing")',"self::mathml:mfenced","string-length(string(@separators))=1",'string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] concat(substring(@open, 0 div boolean(@open)), substring("(", 0 div not(boolean(@open)))) (context:"opening"); [m] ./* (separator:"comma");[t] concat(substring(@close, 0 div boolean(@close)), substring(")", 0 div not(boolean(@close)))) (context:"closing")',
"self::mathml:mfenced");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] concat(substring(@open, 0 div boolean(@open)), substring("(", 0 div not(boolean(@open)))) (context:"opening"); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] concat(substring(@close, 0 div boolean(@close)), substring(")", 0 div not(boolean(@close)))) (context:"closing")',"self::mathml:mfenced","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.SemanticTreeRules=function(){sre.SemanticTreeRules.initCustomFunctions_();sre.SemanticTreeRules.initSemanticRules_()};goog.addSingletonGetter(sre.SemanticTreeRules);sre.SemanticTreeRules.mathStore=sre.MathmlStore.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.addCustomQuery_=goog.bind(sre.SemanticTreeRules.mathStore.customQueries.add,sre.SemanticTreeRules.mathStore.customQueries);sre.SemanticTreeRules.addCustomString_=goog.bind(sre.SemanticTreeRules.mathStore.customStrings.add,sre.SemanticTreeRules.mathStore.customStrings);
sre.SemanticTreeRules.initCustomFunctions_=function(){(0,sre.SemanticTreeRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.SemanticTreeRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.SemanticTreeRules.addCustomQuery_)("CQFhideFont",sre.MathmlStoreUtil.hideFont);(0,sre.SemanticTreeRules.addCustomString_)("CSFshowFont",sre.MathmlStoreUtil.showFont)};
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/punct[@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/punct[@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] CQFhideFont; [t] CSFshowFont","self::*","@font",'@font!="normal"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier-short","default.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.SemanticTreeRules.defineRule_)("font-identifier","default.default","[t] @font; [n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="normal"','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("omit-font","default.default","[n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="italic"');(0,sre.SemanticTreeRules.defineRule_)("fraction","default.default",'[p] (pause:250); [n] children/*[1] (pitch:0.3); [p] (pause:250); [t] "divided by"; [n] children/*[2] (pitch:-0.3); [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] "dot dot dot"; [p] (pause:300)',"self::punct",'self::punct[@role="ellipsis"]');
(0,sre.SemanticTreeRules.defineRule_)("fence-single","default.default","[n] text()","self::punct",'self::punct[@role="openfence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punct",'self::punct[@role="closefence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punct",'self::punct[@role="vbar"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punct",'self::punct[@role="application"]');(0,sre.SemanticTreeRules.defineRule_)("omit-punct","default.default",
"[p] (pause:200);","self::punct");(0,sre.SemanticTreeRules.defineRule_)("omit-empty","default.default","[p] (pause:100)","self::empty");(0,sre.SemanticTreeRules.defineRule_)("fences-open-close","default.default",'[p] (pause:100); [t] "open"; [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:100); [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:0.2); [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:0.2); [p] (pause:400)',"self::root");(0,sre.SemanticTreeRules.defineRule_)("text-no-mult","default.default",
"[n] children/*[1]; [p] (pause:200); [n] children/*[2]","self::infixop","children/text");(0,sre.SemanticTreeRules.defineRule_)("text","default.default","[n] text(); [p] (pause:200)","self::text");(0,sre.SemanticTreeRules.defineRule_)("unit","default.default","[t] text() (annotation:unit, preprocess)","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.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+">");b.push(e.documentElement)}return b};
sre.MathspeakUtil.spaceoutIdentifier=function(a){if(!a.textContent.match(/[a-zA-Z]+/))return a.setAttribute("role",sre.Semantic.Role.PROTECTED),[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.IDENTIFIER;e=c.parseFromString("<"+f+' role="'+sre.Semantic.Role.UNKNOWN+'">'+e+"</"+f+">");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};sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][b.toString()])return sre.MathspeakUtil.nestingDepth[a][b.toString()];if(f(b)||0>c.indexOf(b.tagName))return 0;c=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.MathUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][b.toString()]=c};
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.determinantMarkSimple=function(a){sre.XpathUtil.evalXPath("children/row",a).forEach(function(a){a.setAttribute("sre_flag","simple")});return""};sre.MathspeakUtil.determinantUnMarkSimple=function(a){sre.XpathUtil.evalXPath("children/row",a).forEach(function(a){a.removeAttribute("sre_flag")});return""};
sre.MathspeakUtil.generateBaselineConstraint=function(){for(var a=function(a){return a.map(function(a){return"ancestor::"+a})},b=function(a){return"not("+a+")"},c=b(a(["subscript","superscript","tensor"]).join(" or ")),d=a(["relseq","multrel"]),a=a(["fraction","punctuation","fenced","sqrt","root"]),e=[],f=0,g;g=a[f];f++)e=e.concat(d.map(function(a){return g+"/"+a}));b=b(e.join(" | "));return["ancestor::*/following-sibling::*",c,b].join(" and ")};sre.MathspeakRules=function(){sre.MathspeakRules.initCustomFunctions_();sre.MathspeakRules.initMathspeakRules_();sre.MathspeakRules.generateMathspeakTensorRules_()};goog.addSingletonGetter(sre.MathspeakRules);sre.MathspeakRules.mathStore=sre.MathmlStore.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.addCustomQuery_)("CQFhideFont",sre.MathmlStoreUtil.hideFont);(0,sre.MathspeakRules.addCustomString_)("CSFshowFont",sre.MathmlStoreUtil.showFont);(0,sre.MathspeakRules.addContextFunction_)("CTXFordinalCounter",
sre.MathspeakUtil.ordinalCounter);(0,sre.MathspeakRules.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakRules.addCustomString_)("CSFdetMarkSimple",sre.MathspeakUtil.determinantMarkSimple);(0,sre.MathspeakRules.addCustomString_)("CSFdetUnMarkSimple",sre.MathspeakUtil.determinantUnMarkSimple)};
sre.MathspeakRules.initMathspeakRules_=function(){(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.defineSpecialisedRule_)("font","default.default","mathspeak.default");(0,sre.MathspeakRules.defineSpecialisedRule_)("font-identifier","default.default","mathspeak.default");(0,sre.MathspeakRules.defineSpecialisedRule_)("font-identifier-short",
"default.default","mathspeak.default");(0,sre.MathspeakRules.defineSpecialisedRule_)("omit-font","default.default","mathspeak.default");(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "German"; [n] CQFhideFont; [t] CSFshowFont',"self::*","@font",'@font="fraktur"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "bold German"; [n] CQFhideFont; [t] CSFshowFont',"self::*","@font",'@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(@hiddenfont)","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] CQFhideFont; [t] CSFshowFont',"self::number","@font",'@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 @hiddenfont');
(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",
'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",'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]; [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_)("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::*)","self::subscript[@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(self::superscript[@embellished])",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","self::superscript[@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(self::superscript[@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(self::superscript[@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::*)","self::superscript[@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_)("matrix-cell",
"mathspeak.default","[n] children/*[1]","self::cell");(0,sre.MathspeakRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"',"self::cell","count(children/*)=1","children/empty");(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] CSFdetMarkSimple;[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row"); [t] "EndDeterminant"; [t] CSFdetUnMarkSimple',
"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] CSFdetMarkSimple;[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row"); [t] "EndDeterminant"; [t] CSFdetUnMarkSimple');(0,sre.MathspeakRules.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','@sre_flag="simple"');
(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.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"]')};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|self::tensor[@embellished]"].concat(c);sre.MathspeakRules.defineRuleAlias_.apply(null,d)}};sre.CombinedStore=function(){};goog.addSingletonGetter(sre.CombinedStore);sre.CombinedStore.mathStore=sre.MathmlStore.getInstance();sre.CombinedStore.mathStore.initialize=function(){sre.MathmlStoreRules.getInstance();sre.SemanticTreeRules.getInstance();sre.MathspeakRules.getInstance();sre.CombinedStore.getInstance().updateEngine()};
sre.CombinedStore.prototype.updateEngine=function(){var a=sre.MathMap.getInstance();if(sre.Engine.isReady()){var b=sre.Engine.getInstance(),c=sre.CombinedStore.mathStore.getDynamicConstraintValues();b.allDomains=sre.MathUtil.union(c.domain,a.allDomains);b.allStyles=sre.MathUtil.union(c.style,a.allStyles)}else setTimeout(sre.CombinedStore.getInstance().updateEngine,500)};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)return!1;var b=sre.SemanticUtil.tagName(a.mathmlTree);return"MSUBSUP"===b&&a.type===sre.SemanticAttr.Type.SUPERSCRIPT||"MUNDEROVER"===b&&a.type===sre.SemanticAttr.Type.OVERSCORE};
sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[1],b=this.semantic.childNodes[0],c=b.childNodes[0],d=b.childNodes[1],e=sre.EnrichMathml.walkTree(a),f=sre.EnrichMathml.walkTree(c),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([c,d,a]));[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,b.role);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,[b.id,c.id,d.id],a.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 l=c[d];if(l&&e==sre.EnrichMathml.getInnerNode(l).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(l).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var k=this.semantic.querySelectorAll(function(a){return a.id===e});this.mml.insertBefore(sre.CaseMultiindex.createNone_(k[0]),
l)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.SemanticUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.SystemExternal.document.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.SystemExternal.document.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){for(var b=a.role,c=a.parent.id,d=[a.id],e=0,f;f=a.childNodes[e];e++){var g=sre.EnrichMathml.walkTree(f),g=sre.EnrichMathml.getInnerNode(g);g.setAttribute(sre.EnrichMathml.Attribute.PARENT,c);g.setAttribute(sre.EnrichMathml.Attribute.ROLE,b);d.push(f.id)}return d}sre.EnrichMathml.walkTree(a);return a.id};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);var e=[this.semantic.id,a,b,c,d];e.every(sre.EnrichMathml.simpleCollapseStructure)||
sre.EnrichMathml.addCollapsedAttribute(this.mml,e);e=sre.EnrichMathml.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.EnrichMathml.interleaveIds(c,d),sre.EnrichMathml.interleaveIds(a,b));return this.mml};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.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};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.SemanticUtil.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.EnrichMathml.interleaveIds(d,c),[])}else b=this.semantic.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),sre.EnrichMathml.simpleCollapseStructure(c)||(e=[this.semantic.id,b.id,c],sre.EnrichMathml.addCollapsedAttribute(this.mml,e));a=sre.EnrichMathml.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&&null!==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.SystemExternal.document.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.SemanticUtil.tagName(b),d=null;if("MSUBSUP"===c)var d=a.childNodes[0],e=sre.CaseDoubleScript;else"MMULTISCRIPTS"!==c||a.type!==sre.SemanticAttr.Type.SUPERSCRIPT&&a.type!==sre.SemanticAttr.Type.SUBSCRIPT||(e=sre.CaseMultiscripts,d=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.SystemExternal.document.createElement("mrow");a=new sre.SemanticTree.Node(a);a.type=sre.SemanticAttr.Type.EMPTY;a.mathmlTree=b;return a};
sre.CaseEmbellished.prototype.introduceNewLayer_=function(){var a=sre.EnrichMathml.introduceNewLayer([this.ofenceMml,this.fencedMml,this.cfenceMml]);if(!a.parentNode){for(var b=sre.SystemExternal.document.createElement("mrow");0<a.childNodes.length;)b.appendChild(a.childNodes[0]);a.appendChild(b);a=b}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.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};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.semantic.childNodes.map(sre.EnrichMathml.walkTree);"MFENCED"===sre.SemanticUtil.tagName(this.mml)?(this.mml.insertBefore(a,this.mml.childNodes[0]),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.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.CaseTable.test,constr:sre.CaseTable});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=new sre.SemanticTree(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){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};