(function(e){if("function"==typeof bootstrap)bootstrap("katex",e);else if("object"==typeof exports)module.exports=e();else if("function"==typeof define&&define.amd)define(e);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeKatex=e}else"undefined"!=typeof window?window.katex=e():global.katex=e()})(function(){var e,t,i,h,a;return function l(e,t,i){function h(s,p){if(!t[s]){if(!e[s]){var r=typeof require=="function"&&require;if(!p&&r)return r(s,!0);if(a)return a(s,!0);throw new Error("Cannot find module '"+s+"'")}var c=t[s]={exports:{}};e[s][0].call(c.exports,function(t){var i=e[s][1][t];return h(i?i:t)},c,c.exports,l,e,t,i)}return t[s].exports}var a=typeof require=="function"&&require;for(var s=0;s<i.length;s++)h(i[s]);return h}({1:[function(e,t,i){var h=e("./src/ParseError");var a=e("./src/buildTree");var l=e("./src/parseTree");var s=e("./src/utils");var p=function(e,t){s.clearNode(t);var i=l(e);var h=a(i).toNode();t.appendChild(h)};var r=function(e){var t=l(e);return a(t).toMarkup()};t.exports={render:p,renderToString:r,ParseError:h}},{"./src/ParseError":4,"./src/buildTree":8,"./src/parseTree":13,"./src/utils":15}],2:[function(e,t,i){var h=e("./ParseError");function a(e){this._input=e}function l(e,t,i){this.type=e;this.text=t;this.position=i}var s=[[/^[/|@."`0-9]/,"textord"],[/^[a-zA-Z]/,"mathord"],[/^[*+-]/,"bin"],[/^[=<>:]/,"rel"],[/^[,;]/,"punct"],[/^'/,"'"],[/^\^/,"^"],[/^_/,"_"],[/^{/,"{"],[/^}/,"}"],[/^[(\[]/,"open"],[/^[)\]?!]/,"close"],[/^~/,"spacing"]];var p=[[/^[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/,"textord"],[/^{/,"{"],[/^}/,"}"],[/^~/,"spacing"]];var r=/^\s*/;var c=/^( +|\\  +)/;var g=/^\\(?:[a-zA-Z]+|.)/;a.prototype._innerLex=function(e,t,i){var a=this._input.slice(e);if(i){var s=a.match(r)[0];e+=s.length;a=a.slice(s.length)}else{var s=a.match(c);if(s!==null){return new l(" "," ",e+s[0].length)}}if(a.length===0){return new l("EOF",null,e)}var p;if(p=a.match(g)){return new l(p[0],p[0],e+p[0].length)}else{for(var d=0;d<t.length;d++){var n=t[d];if(p=a.match(n[0])){return new l(n[1],p[0],e+p[0].length)}}}throw new h("Unexpected character: '"+a[0]+"'",this,e)};var d=/^(#[a-z0-9]+|[a-z]+)/i;a.prototype._innerLexColor=function(e){var t=this._input.slice(e);var i=t.match(r)[0];e+=i.length;t=t.slice(i.length);var a;if(a=t.match(d)){return new l("color",a[0],e+a[0].length)}else{throw new h("Invalid color",this,e)}};var n=/^(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/;a.prototype._innerLexSize=function(e){var t=this._input.slice(e);var i=t.match(r)[0];e+=i.length;t=t.slice(i.length);var a;if(a=t.match(n)){var s=a[2];if(s!=="em"&&s!=="ex"){throw new h("Invalid unit: '"+s+"'",this,e)}return new l("size",{number:+a[1],unit:s},e+a[0].length)}throw new h("Invalid size",this,e)};a.prototype._innerLexWhitespace=function(e){var t=this._input.slice(e);var i=t.match(r)[0];e+=i.length;return new l("whitespace",i,e)};a.prototype.lex=function(e,t){if(t==="math"){return this._innerLex(e,s,true)}else if(t==="text"){return this._innerLex(e,p,false)}else if(t==="color"){return this._innerLexColor(e)}else if(t==="size"){return this._innerLexSize(e)}else if(t==="whitespace"){return this._innerLexWhitespace(e)}};t.exports=a},{"./ParseError":4}],3:[function(e,t,i){function h(e,t,i,h,a){this.style=e;this.color=i;this.size=t;if(h===undefined){h=e}this.parentStyle=h;if(a===undefined){a=t}this.parentSize=a}h.prototype.withStyle=function(e){return new h(e,this.size,this.color,this.style,this.size)};h.prototype.withSize=function(e){return new h(this.style,e,this.color,this.style,this.size)};h.prototype.withColor=function(e){return new h(this.style,this.size,e,this.style,this.size)};h.prototype.reset=function(){return new h(this.style,this.size,this.color,this.style,this.size)};var a={"katex-blue":"#6495ed","katex-orange":"#ffa500","katex-pink":"#ff00af","katex-red":"#df0030","katex-green":"#28ae7b","katex-gray":"gray","katex-purple":"#9d38bd"};h.prototype.getColor=function(){return a[this.color]||this.color};t.exports=h},{}],4:[function(e,t,i){function h(e,t,i){var a="KaTeX parse error: "+e;if(t!==undefined&&i!==undefined){a+=" at position "+i+": ";var l=t._input;l=l.slice(0,i)+"̲"+l.slice(i);var s=Math.max(0,i-15);var p=i+15;a+=l.slice(s,p)}var r=new Error(a);r.name="ParseError";r.__proto__=h.prototype;return r}h.prototype.__proto__=Error.prototype;t.exports=h},{}],5:[function(e,t,i){var h=e("./functions");var a=e("./Lexer");var l=e("./symbols");var s=e("./utils");var p=e("./ParseError");function r(e){this.lexer=new a(e)}function c(e,t,i){this.type=e;this.value=t;this.mode=i}function g(e,t){this.result=e;this.position=t}function d(e,t,i,h,a){this.result=e;this.isFunction=t;this.allowedInText=i;this.numArgs=h;this.argTypes=a}r.prototype.expect=function(e,t){if(e.type!==t){throw new p("Expected '"+t+"', got '"+e.type+"'",this.lexer,e.position)}};r.prototype.parse=function(e){var t=this.parseInput(0,"math");return t.result};r.prototype.parseInput=function(e,t){var i=this.parseExpression(e,t);var h=this.lexer.lex(i.position,t);this.expect(h,"EOF");return i};r.prototype.handleExpressionBody=function(e,t){var i=[];var h;while(h=this.parseAtom(e,t)){i.push(h.result);e=h.position}return{body:i,position:e}};r.prototype.parseExpression=function(e,t){var i=this.handleExpressionBody(e,t);return new g(i.body,i.position)};var n=1;r.prototype.handleSupSubscript=function(e,t,i,a){var l=this.parseGroup(e,t);if(!l){throw new p("Expected group after '"+i+"'",this.lexer,e)}else if(l.numArgs>0){var s=h.getGreediness(l.result.result);if(s>n){return this.parseFunction(e,t)}else{throw new p("Got function '"+l.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return l.result}};r.prototype.parseAtom=function(e,t){var i=this.parseImplicitGroup(e,t);if(t==="text"){return i}var h;if(!i){h=e;i=undefined}else{h=i.position}var a;var l;while(true){var s=this.lexer.lex(h,t);var r;if(s.type==="^"){if(a){throw new p("Double superscript",this.lexer,h)}var d=this.handleSupSubscript(s.position,t,s.type,"superscript");h=d.position;a=d.result}else if(s.type==="_"){if(l){throw new p("Double subscript",this.lexer,h)}var d=this.handleSupSubscript(s.position,t,s.type,"subscript");h=d.position;l=d.result}else if(s.type==="'"){var n=new c("textord","\\prime",t);var o=[n];h=s.position;while((s=this.lexer.lex(h,t)).type==="'"){o.push(n);h=s.position}a=new c("ordgroup",o,t)}else{break}}if(a||l){return new g(new c("supsub",{base:i&&i.result,sup:a,sub:l},t),h)}else{return i}};var o=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var w=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];r.prototype.parseImplicitGroup=function(e,t){var i=this.parseSymbol(e,t);if(!i||!i.result){return this.parseFunction(e,t)}var h=i.result.result;if(h==="\\left"){var a=this.parseFunction(e,t);var l=this.handleExpressionBody(a.position,t);var r=this.parseSymbol(l.position,t);if(r&&r.result.result==="\\right"){var d=this.parseFunction(l.position,t);return new g(new c("leftright",{body:l.body,left:a.result.value.value,right:d.result.value.value},t),d.position)}else{throw new p("Missing \\right",this.lexer,l.position)}}else if(h==="\\right"){return null}else if(s.contains(o,h)){var l=this.handleExpressionBody(i.result.position,t);return new g(new c("sizing",{size:"size"+(s.indexOf(o,h)+1),value:l.body},t),l.position)}else if(s.contains(w,h)){var l=this.handleExpressionBody(i.result.position,t);return new g(new c("styling",{style:h.slice(1,h.length-5),value:l.body},t),l.position)}else{return this.parseFunction(e,t)}};r.prototype.parseFunction=function(e,t){var i=this.parseGroup(e,t);if(i){if(i.isFunction){var a=i.result.result;if(t==="text"&&!i.allowedInText){throw new p("Can't use function '"+a+"' in text mode",this.lexer,i.position)}var l=i.result.position;var s;if(i.numArgs>0){var r=h.getGreediness(a);var d=[a];var n=[l];for(var o=0;o<i.numArgs;o++){var w=i.argTypes&&i.argTypes[o];if(w){var k=this.parseSpecialGroup(l,w,t)}else{var k=this.parseGroup(l,t)}if(!k){throw new p("Expected group after '"+i.result.result+"'",this.lexer,l)}var u;if(k.numArgs>0){var m=h.getGreediness(k.result.result);if(m>r){u=this.parseFunction(l,t)}else{throw new p("Got function '"+k.result.result+"' as "+"argument to function '"+i.result.result+"'",this.lexer,k.result.position-1)}}else{u=k.result}d.push(u.result);n.push(u.position);l=u.position}d.push(n);s=h.funcs[a].handler.apply(this,d)}else{s=h.funcs[a].handler.apply(this,[a])}return new g(new c(s.type,s,t),l)}else{return i.result}}else{return null}};r.prototype.parseSpecialGroup=function(e,t,i){if(t==="color"||t==="size"){var h=this.lexer.lex(e,i);this.expect(h,"{");var a=this.lexer.lex(h.position,t);var l=this.lexer.lex(a.position,i);this.expect(l,"}");return new d(new g(new c("color",a.text,i),l.position),false)}else if(t==="text"){var s=this.lexer.lex(e,"whitespace");return this.parseGroup(s.position,t)}else{return this.parseGroup(e,t)}};r.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.type==="{"){var h=this.parseExpression(i.position,t);var a=this.lexer.lex(h.position,t);this.expect(a,"}");return new d(new g(new c("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};r.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.type]){var a=h.funcs[i.type];var s=a.argTypes;if(s){s=s.slice();for(var p=0;p<s.length;p++){if(s[p]==="original"){s[p]=t}}}return new d(new g(i.type,i.position),true,a.allowedInText,a.numArgs,s)}else if(l[t][i.text]){return new d(new g(new c(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};t.exports=r},{"./Lexer":2,"./ParseError":4,"./functions":12,"./symbols":14,"./utils":15}],6:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return w[k[this.id]]};h.prototype.sub=function(){return w[u[this.id]]};h.prototype.fracNum=function(){return w[m[this.id]]};h.prototype.fracDen=function(){return w[f[this.id]]};h.prototype.cramp=function(){return w[v[this.id]]};h.prototype.cls=function(){return n[this.size]+(this.cramped?" cramped":" uncramped")};h.prototype.reset=function(){return o[this.size]};var a=0;var l=1;var s=2;var p=3;var r=4;var c=5;var g=6;var d=7;var n=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var o=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var w=[new h(a,0,1,false),new h(l,0,1,true),new h(s,1,1,false),new h(p,1,1,true),new h(r,2,.7,false),new h(c,2,.7,true),new h(g,3,.5,false),new h(d,3,.5,true)];var k=[r,c,r,c,g,d,g,d];var u=[c,c,c,c,d,d,d,d];var m=[s,p,r,c,g,d,g,d];var f=[p,p,c,c,d,d,d,d];var v=[l,l,p,p,c,c,d,d];t.exports={DISPLAY:w[a],TEXT:w[s],SCRIPT:w[r],SCRIPTSCRIPT:w[g]}},{}],7:[function(e,t,i){var h=e("./domTree");var a=e("./fontMetrics");var l=e("./symbols");var s=function(e,t,i,s,p){if(l[i][e]&&l[i][e].replace){e=l[i][e].replace}var r=a.getCharacterMetrics(e,t);var c;if(r){c=new h.symbolNode(e,r.height,r.depth,r.italic,r.skew,p)}else{typeof console!=="undefined"&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");c=new h.symbolNode(e,0,0,0,0,p)}if(s){c.style.color=s}return c};var p=function(e,t,i,h){return s(e,"Math-Italic",t,i,h.concat(["mathit"]))};var r=function(e,t,i,h){if(l[t][e].font==="main"){return s(e,"Main-Regular",t,i,h)}else{return s(e,"AMS-Regular",t,i,h.concat(["amsrm"]))}};var c=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var g=function(e,t,i){var a=new h.span(e,t);c(a);if(i){a.style.color=i}return a};var d=function(e){var t=new h.documentFragment(e);c(t);return t};var n=function(e,t){var i=g([],[new h.symbolNode("​")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=g(["fontsize-ensurer","reset-"+e.size,"size5"],[i]);return a};var o=function(e,t,i,a){var l;if(t==="individualShift"){var s=e;e=[s[0]];l=-s[0].shift-s[0].elem.depth;var p=l;for(var r=1;r<s.length;r++){var c=-s[r].shift-p-s[r].elem.depth;var d=c-(s[r-1].elem.height+s[r-1].elem.depth);p=p+c;e.push({type:"kern",size:d});e.push(s[r])}}else if(t==="top"){var o=i;for(var r=0;r<e.length;r++){if(e[r].type==="kern"){o-=e[r].size}else{o-=e[r].elem.height+e[r].elem.depth}}l=o}else if(t==="bottom"){l=-i}else if(t==="shift"){l=-e[0].elem.depth-i}else if(t==="firstBaseline"){l=-e[0].elem.depth}else{l=0}var w=0;for(var r=0;r<e.length;r++){if(e[r].type==="elem"){w=Math.max(w,e[r].elem.maxFontSize)}}var k=n(a,w);var u=[];var p=l;for(var r=0;r<e.length;r++){if(e[r].type==="kern"){p+=e[r].size}else{var m=e[r].elem;var f=-m.depth-p;p+=m.height+m.depth;var v=g([],[k,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";u.push(v)}}var y=g(["baseline-fix"],[k,new h.symbolNode("​")]);u.push(y);var x=g(["vlist"],u);x.height=Math.max(p,x.height);x.depth=Math.max(-l,x.depth);return x};t.exports={makeSymbol:s,mathit:p,mathrm:r,makeSpan:g,makeFragment:d,makeVList:o}},{"./domTree":10,"./fontMetrics":11,"./symbols":14}],8:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var l=e("./Style");var s=e("./buildCommon");var p=e("./delimiter");var r=e("./domTree");var c=e("./fontMetrics");var g=e("./parseTree");var d=e("./symbols");var n=e("./utils");var o=s.makeSpan;var w=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var l=e[a];h.push(b(l,t,i));i=l}return h};var k={mathord:"mord",textord:"mord",bin:"mbin",rel:"mrel",text:"mord",open:"mopen",close:"mclose",inner:"minner",frac:"minner",spacing:"mord",punct:"mpunct",ordgroup:"mord",op:"mop",katex:"mord",overline:"mord",rule:"mord",leftright:"minner",sqrt:"mord",accent:"mord"};var u=function(e){if(e==null){return k.mathord}else if(e.type==="supsub"){return u(e.value.base)}else if(e.type==="llap"||e.type==="rlap"){return u(e.value)}else if(e.type==="color"){return u(e.value.value)}else if(e.type==="sizing"){return u(e.value.value)}else if(e.type==="styling"){return u(e.value.value)}else if(e.type==="delimsizing"){return k[e.value.delimType]}else{return k[e.type]}};var m=function(e,t){if(e==null){return false}else if(e.type==="op"){return e.value.limits&&t.style.size===l.DISPLAY.size}else if(e.type==="accent"){return v(e.value.base)}else{return null}};var f=function(e){if(e==null){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return f(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return f(e.value.value[0])}else{return e}}else{return e}};var v=function(e){var t=f(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="inner"||t.type==="open"||t.type==="close"||t.type==="punct"};var y={mathord:function(e,t,i){return s.mathit(e.value,e.mode,t.getColor(),["mord"])},textord:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mord"])},bin:function(e,t,i){var h="mbin";var a=i;while(a&&a.type=="color"){var l=a.value.value;a=l[l.length-1]}if(!i||n.contains(["mbin","mopen","mrel","mop","mpunct"],u(a))){e.type="textord";h="mord"}return s.mathrm(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mrel"])},open:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mopen"])},close:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mclose"])},inner:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["minner"])},punct:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mpunct"])},ordgroup:function(e,t,i){return o(["mord",t.style.cls()],w(e.value,t.reset()))},text:function(e,t,i){return o(["text","mord",t.style.cls()],w(e.value.body,t.reset()))},color:function(e,t,i){var h=w(e.value.value,t.withColor(e.value.color),i);return new s.makeFragment(h)},supsub:function(e,t,i){var h=e.value.base;if(m(e.value.base,t)){return y[e.value.base.type](e,t,i)}var a=b(e.value.base,t.reset());if(e.value.sup){var p=b(e.value.sup,t.withStyle(t.style.sup()));var g=o([t.style.reset(),t.style.sup().cls()],[p])}if(e.value.sub){var d=b(e.value.sub,t.withStyle(t.style.sub()));var n=o([t.style.reset(),t.style.sub().cls()],[d])}var w,k;if(v(e.value.base)){w=0;k=0}else{w=a.height-c.metrics.supDrop;k=a.depth+c.metrics.subDrop}var f;if(t.style===l.DISPLAY){f=c.metrics.sup1}else if(t.style.cramped){f=c.metrics.sup3}else{f=c.metrics.sup2}var x=l.TEXT.sizeMultiplier*t.style.sizeMultiplier;var z=.5/c.metrics.ptPerEm/x+"em";var S;if(!e.value.sup){k=Math.max(k,c.metrics.sub1,d.height-.8*c.metrics.xHeight);S=s.makeVList([{type:"elem",elem:n}],"shift",k,t);S.children[0].style.marginRight=z;if(a instanceof r.symbolNode){S.children[0].style.marginLeft=-a.italic+"em"}}else if(!e.value.sub){w=Math.max(w,f,p.depth+.25*c.metrics.xHeight);S=s.makeVList([{type:"elem",elem:g}],"shift",-w,t);S.children[0].style.marginRight=z}else{w=Math.max(w,f,p.depth+.25*c.metrics.xHeight);k=Math.max(k,c.metrics.sub2);var T=c.metrics.defaultRuleThickness;if(w-p.depth-(d.height-k)<4*T){k=4*T-(w-p.depth)+d.height;var M=.8*c.metrics.xHeight-(w-p.depth);if(M>0){w+=M;k-=M}}S=s.makeVList([{type:"elem",elem:n,shift:k},{type:"elem",elem:g,shift:-w}],"individualShift",null,t);if(a instanceof r.symbolNode){S.children[0].style.marginLeft=-a.italic+"em"}S.children[0].style.marginRight=z;S.children[1].style.marginRight=z}return o([u(e.value.base)],[a,S])},frac:function(e,t,i){var h=t.style;if(e.value.size==="dfrac"){h=l.DISPLAY}else if(e.value.size==="tfrac"){h=l.TEXT}var a=h.fracNum();var p=h.fracDen();var r=b(e.value.numer,t.withStyle(a));var g=o([h.reset(),a.cls()],[r]);var d=b(e.value.denom,t.withStyle(p));var n=o([h.reset(),p.cls()],[d]);var w=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var k=o([t.style.reset(),l.TEXT.cls(),"frac-line"]);k.height=w;var u,m,f;if(h.size===l.DISPLAY.size){u=c.metrics.num1;m=c.metrics.denom1;f=3*w}else{u=c.metrics.num2;m=c.metrics.denom2;f=w}var v=c.metrics.axisHeight;if(u-r.depth-(v+.5*w)<f){u+=f-(u-r.depth-(v+.5*w))}if(v-.5*w-(d.height-m)<f){m+=f-(v-.5*w-(d.height-m))}var y=-(v-.5*w);var x=s.makeVList([{type:"elem",elem:n,shift:m},{type:"elem",elem:k,shift:y},{type:"elem",elem:g,shift:-u}],"individualShift",null,t);x.height*=h.sizeMultiplier/t.style.sizeMultiplier;x.depth*=h.sizeMultiplier/t.style.sizeMultiplier;return o(["minner","mfrac",t.style.reset(),h.cls()],[x],t.getColor())},spacing:function(e,t,i){if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){return o(["mord","mspace"],[s.mathrm(e.value,e.mode)])}else{var h={"\\qquad":"qquad","\\quad":"quad","\\enspace":"enspace","\\;":"thickspace","\\:":"mediumspace","\\,":"thinspace","\\!":"negativethinspace"};return o(["mord","mspace",h[e.value]])}},llap:function(e,t,i){var h=o(["inner"],[b(e.value.body,t.reset())]);var a=o(["fix"],[]);return o(["llap",t.style.cls()],[h,a])},rlap:function(e,t,i){var h=o(["inner"],[b(e.value.body,t.reset())]);var a=o(["fix"],[]);return o(["rlap",t.style.cls()],[h,a])},op:function(e,t,i){var h;var a;var p=false;if(e.type==="supsub"){h=e.value.sup;a=e.value.sub;e=e.value.base;p=true}var r=["\\smallint"];var g=false;if(t.style.size===l.DISPLAY.size&&e.value.symbol&&!n.contains(r,e.value.body)){g=true}var d;var w=0;var k=0;if(e.value.symbol){var u=g?"Size2-Regular":"Size1-Regular";d=s.makeSymbol(e.value.body,u,"math",t.getColor(),["op-symbol",g?"large-op":"small-op","mop"]);w=(d.height-d.depth)/2-c.metrics.axisHeight*t.style.sizeMultiplier;k=d.italic}else{var m=[];for(var f=1;f<e.value.body.length;f++){m.push(s.mathrm(e.value.body[f],e.mode))}d=o(["mop"],m,t.getColor())}if(p){var d=o([],[d]);var v,y,x,z;if(h){var S=b(h,t.withStyle(t.style.sup()));v=o([t.style.reset(),t.style.sup().cls()],[S]);y=Math.max(c.metrics.bigOpSpacing1,c.metrics.bigOpSpacing3-S.depth)}if(a){var T=b(a,t.withStyle(t.style.sub()));x=o([t.style.reset(),t.style.sub().cls()],[T]);z=Math.max(c.metrics.bigOpSpacing2,c.metrics.bigOpSpacing4-T.height)}var M;if(!h){var R=d.height-w;M=s.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:x},{type:"kern",size:z},{type:"elem",elem:d}],"top",R,t);M.children[0].style.marginLeft=-k+"em"}else if(!a){var C=d.depth+w;M=s.makeVList([{type:"elem",elem:d},{type:"kern",size:y},{type:"elem",elem:v},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",C,t);M.children[1].style.marginLeft=k+"em"}else if(!h&&!a){return d}else{var C=c.metrics.bigOpSpacing5+x.height+x.depth+z+d.depth+w;M=s.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:x},{type:"kern",size:z},{type:"elem",elem:d},{type:"kern",size:y},{type:"elem",elem:v},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",C,t);M.children[0].style.marginLeft=-k+"em";M.children[2].style.marginLeft=k+"em"}return o(["mop","op-limits"],[M])}else{if(e.value.symbol){d.style.top=w+"em"}return d}},katex:function(e,t,i){var h=o(["k"],[s.mathrm("K",e.mode)]);var a=o(["a"],[s.mathrm("A",e.mode)]);a.height=(a.height+.2)*.75;a.depth=(a.height-.2)*.75;var l=o(["t"],[s.mathrm("T",e.mode)]);var p=o(["e"],[s.mathrm("E",e.mode)]);p.height=p.height-.2155;p.depth=p.depth+.2155;var r=o(["x"],[s.mathrm("X",e.mode)]);return o(["katex-logo"],[h,a,l,p,r],t.getColor())},overline:function(e,t,i){var h=b(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var p=o([t.style.reset(),l.TEXT.cls(),"overline-line"]);p.height=a;p.maxFontSize=1;var r=s.makeVList([{type:"elem",elem:h},{type:"kern",size:3*a},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t);return o(["overline","mord"],[r],t.getColor())},sqrt:function(e,t,i){var h=b(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var r=o([t.style.reset(),l.TEXT.cls(),"sqrt-line"],[],t.getColor());r.height=a;r.maxFontSize=1;var g=a;if(t.style.id<l.TEXT.id){g=c.metrics.xHeight}var d=a+g/4;var n=(h.height+h.depth)*t.style.sizeMultiplier;var w=n+d+a;var k=o(["sqrt-sign"],[p.customSizedDelim("\\surd",w,false,t,e.mode)],t.getColor());var u=k.height+k.depth-a;if(u>h.height+h.depth+d){d=(d+u-h.height-h.depth)/2}delimShift=-(h.height+d+a)+k.height;k.style.top=delimShift+"em";k.height-=delimShift;k.depth+=delimShift;var m;if(h.height===0&&h.depth===0){m=o()}else{m=s.makeVList([{type:"elem",elem:h},{type:"kern",size:d},{type:"elem",elem:r},{type:"kern",size:a}],"firstBaseline",null,t)}return o(["sqrt","mord"],[k,m])},sizing:function(e,t,i){var h=w(e.value.value,t.withSize(e.value.size),i);var a=o(["mord"],[o(["sizing","reset-"+t.size,e.value.size,t.style.cls()],h)]);var l=x[e.value.size];a.maxFontSize=l*t.style.sizeMultiplier;return a},styling:function(e,t,i){var h={display:l.DISPLAY,text:l.TEXT,script:l.SCRIPT,scriptscript:l.SCRIPTSCRIPT};var a=h[e.value.style];var s=w(e.value.value,t.withStyle(a),i);return o([t.style.reset(),a.cls()],s)},delimsizing:function(e,t,i){var h=e.value.value;if(h==="."){return o([k[e.value.delimType]])}return o([k[e.value.delimType]],[p.sizedDelim(h,e.value.size,t,e.mode)])},leftright:function(e,t,i){var h=w(e.value.body,t.reset());var a=0;var l=0;for(var s=0;s<h.length;s++){a=Math.max(h[s].height,a);l=Math.max(h[s].depth,l)}a*=t.style.sizeMultiplier;l*=t.style.sizeMultiplier;var r;if(e.value.left==="."){r=o(["nulldelimiter"])}else{r=p.leftRightDelim(e.value.left,a,l,t,e.mode)}h.unshift(r);var c;if(e.value.right==="."){c=o(["nulldelimiter"])}else{c=p.leftRightDelim(e.value.right,a,l,t,e.mode)}h.push(c);return o(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=o(["mord","rule"],[],t.getColor());var a=e.value.width.number;if(e.value.width.unit==="ex"){a*=c.metrics.xHeight}var l=e.value.height.number;if(e.value.height.unit==="ex"){l*=c.metrics.xHeight}a/=t.style.sizeMultiplier;l/=t.style.sizeMultiplier;h.style.borderRightWidth=a+"em";h.style.borderTopWidth=l+"em";h.width=a;h.height=l;return h},accent:function(e,t,i){var h=e.value.base;var a;if(e.type==="supsub"){var l=e;e=l.value.base;h=e.value.base;l.value.base=h;a=b(l,t.reset(),i)}var p=b(h,t.withStyle(t.style.cramp()));var r;if(v(h)){var g=f(h);var d=b(g,t.withStyle(t.style.cramp()));r=d.skew}else{r=0}var n=Math.min(p.height,c.metrics.xHeight);var w=s.makeSymbol(e.value.accent,"Main-Regular","math",t.getColor());w.italic=0;var k=e.value.accent==="\\vec"?"accent-vec":null;var u=o(["accent-body",k],[o([],[w])]);var u=s.makeVList([{type:"elem",elem:p},{type:"kern",size:-n},{type:"elem",elem:u}],"firstBaseline",null,t);u.children[1].style.marginLeft=2*r+"em";var m=o(["mord","accent"],[u]);if(a){a.children[0]=m;a.height=Math.max(m.height,a.height);a.classes[0]="mord";return a}else{return m}}};var x={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var b=function(e,t,i){if(!e){return o()}if(y[e.type]){var h=y[e.type](e,t,i);if(t.style!==t.parentStyle){var l=t.style.sizeMultiplier/t.parentStyle.sizeMultiplier;h.height*=l;h.depth*=l}if(t.size!==t.parentSize){var l=x[t.size]/x[t.parentSize];h.height*=l;h.depth*=l}return h}else{throw new a("Got group of unknown type: '"+e.type+"'")}};var z=function(e){var t=new h(l.TEXT,"size5","");var i=w(e,t);var a=o(["base",t.style.cls()],i);var s=o(["strut"]);var p=o(["strut","bottom"]);s.style.height=a.height+"em";p.style.height=a.height+a.depth+"em";p.style.verticalAlign=-a.depth+"em";var r=o(["katex"],[o(["katex-inner"],[s,p,a])]);return r};t.exports=z},{"./Options":3,"./ParseError":4,"./Style":6,"./buildCommon":7,"./delimiter":9,"./domTree":10,"./fontMetrics":11,"./parseTree":13,"./symbols":14,"./utils":15}],9:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var l=e("./Style");var s=e("./buildCommon");var p=e("./domTree");var r=e("./fontMetrics");var c=e("./parseTree");var g=e("./symbols");var d=e("./utils");var n=s.makeSpan;var o=function(e,t){if(g["math"][e]&&g["math"][e].replace){return r.getCharacterMetrics(g["math"][e].replace,t)}else{return r.getCharacterMetrics(e,t)}};var w=function(e,t,i){return s.makeSymbol(e,"Size"+t+"-Regular",i)};var k=function(e,t,i){var h=n(["style-wrap",i.style.reset(),t.cls()],[e]);var a=t.sizeMultiplier/i.style.sizeMultiplier;h.height*=a;h.depth*=a;h.maxFontSize=t.sizeMultiplier;return h};var u=function(e,t,i,h,a){var l=s.makeSymbol(e,"Main-Regular",a);var p=k(l,t,h);if(i){var c=(1-h.style.sizeMultiplier/t.sizeMultiplier)*r.metrics.axisHeight;p.style.top=c+"em";p.height-=c;p.depth+=c}return p};var m=function(e,t,i,h,a){var s=w(e,t,a);var p=k(n(["delimsizing","size"+t],[s],h.getColor()),l.TEXT,h);if(i){var c=(1-h.style.sizeMultiplier)*r.metrics.axisHeight;p.style.top=c+"em";p.height-=c;p.depth+=c}return p};var f=function(e,t,i){var h;if(t==="Size1-Regular"){h="delim-size1"}else if(t==="Size4-Regular"){h="delim-size4"}var a=n(["delimsizinginner",h],[n([],[s.makeSymbol(e,t,i)])]);return{type:"elem",elem:a}};var v=function(e,t,i,h,a){var p,c,g,d;p=g=d=e;c=null;var w="Size1-Regular";if(e==="\\uparrow"){g=d="⏐"}else if(e==="\\Uparrow"){g=d="‖"}else if(e==="\\downarrow"){p=g="⏐"}else if(e==="\\Downarrow"){p=g="‖"}else if(e==="\\updownarrow"){p="\\uparrow";g="⏐";d="\\downarrow"}else if(e==="\\Updownarrow"){p="\\Uparrow";g="‖";d="\\Downarrow"}else if(e==="|"||e==="\\vert"){}else if(e==="\\|"||e==="\\Vert"){}else if(e==="["||e==="\\lbrack"){p="⎡";g="⎢";d="⎣";w="Size4-Regular"}else if(e==="]"||e==="\\rbrack"){p="⎤";g="⎥";d="⎦";w="Size4-Regular"}else if(e==="\\lfloor"){g=p="⎢";d="⎣";w="Size4-Regular"}else if(e==="\\lceil"){p="⎡";g=d="⎢";w="Size4-Regular"}else if(e==="\\rfloor"){g=p="⎥";d="⎦";w="Size4-Regular"}else if(e==="\\rceil"){p="⎤";g=d="⎥";w="Size4-Regular"}else if(e==="("){p="⎛";g="⎜";d="⎝";w="Size4-Regular"}else if(e===")"){p="⎞";g="⎟";d="⎠";w="Size4-Regular"}else if(e==="\\{"||e==="\\lbrace"){p="⎧";c="⎨";d="⎩";g="⎪";w="Size4-Regular"}else if(e==="\\}"||e==="\\rbrace"){p="⎫";c="⎬";d="⎭";g="⎪";w="Size4-Regular"}else if(e==="\\surd"){p="";d="⎷";g="";w="Size4-Regular"}var u=o(p,w);var m=u.height+u.depth;var v=o(g,w);var y=v.height+v.depth;var x=o(d,w);var b=x.height+x.depth;var z,S;if(c!==null){z=o(c,w);S=z.height+z.depth}var T=m+b;if(c!==null){T+=S}while(T<t){T+=y;if(c!==null){T+=y}}var M=r.metrics.axisHeight;if(i){M*=h.style.sizeMultiplier}var R=T/2+M;var C=T/2-M;var E=[];E.push(f(d,w,a));if(c===null){var P=T-m-b;var A=Math.ceil(P/y);for(var L=0;L<A;L++){E.push(f(g,w,a))}}else{var I=T/2-m-S/2;var O=Math.ceil(I/y);var q=T/2-m-S/2;var D=Math.ceil(q/y);for(var L=0;L<O;L++){E.push(f(g,w,a))}E.push(f(c,w,a));for(var L=0;L<D;L++){E.push(f(g,w,a))}}E.push(f(p,w,a));var B=s.makeVList(E,"bottom",C,h);return k(n(["delimsizing","mult"],[B],h.getColor()),l.TEXT,h)};var y=["(",")","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","\\surd"];var x=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert"];var b=["<",">","\\langle","\\rangle","/","\\backslash"];var z=[0,1.2,1.8,2.4,3];var S=function(e,t,i,h){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var l;if(d.contains(y,e)||d.contains(b,e)){return m(e,t,false,i,h)}else if(d.contains(x,e)){return v(e,z[t],false,i,h)}else{throw new a("Illegal delimiter: '"+e+"'")}};var T=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}];var M=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"stack"}];var R=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];var C=function(e){if(e.type==="small"){return"Main-Regular"}else if(e.type==="large"){return"Size"+e.size+"-Regular"}else if(e.type==="stack"){return"Size4-Regular"}};var E=function(e,t,i,h){var a=Math.min(2,3-h.style.size);for(var l=a;l<i.length;l++){if(i[l].type==="stack"){break}var s=o(e,C(i[l]));var p=s.height+s.depth;if(i[l].type==="small"){p*=i[l].style.sizeMultiplier}if(p>t){return i[l]}}return i[i.length-1]};var P=function(e,t,i,h,a){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var l;if(d.contains(b,e)){l=T}else if(d.contains(y,e)){l=R}else{l=M}var s=E(e,t,l,h);if(s.type==="small"){return u(e,s.style,i,h,a)}else if(s.type==="large"){return m(e,s.size,i,h,a)}else if(s.type==="stack"){return v(e,t,i,h,a)}};var A=function(e,t,i,h,a){var l=r.metrics.axisHeight*h.style.sizeMultiplier;var s=901;var p=5/r.metrics.ptPerEm;var c=Math.max(t-l,i+l);var g=Math.max(c/500*s,2*c-p);return P(e,g,true,h,a)};t.exports={sizedDelim:S,customSizedDelim:P,leftRightDelim:A}},{"./Options":3,"./ParseError":4,"./Style":6,"./buildCommon":7,"./domTree":10,"./fontMetrics":11,"./parseTree":13,"./symbols":14,"./utils":15}],10:[function(e,t,i){var h=e("./utils");var a=function(e){e=e.slice();for(var t=e.length-1;t>=0;t--){if(!e[t]){e.splice(t,1)}}return e.join(" ")};function l(e,t,i,h,a,l){this.classes=e||[];this.children=t||[];this.height=i||0;this.depth=h||0;this.maxFontSize=a||0;this.style=l||{}}l.prototype.toNode=function(){var e=document.createElement("span");e.className=a(this.classes);for(var t in this.style){if(this.style.hasOwnProperty(t)){e.style[t]=this.style[t]}}for(var i=0;i<this.children.length;i++){e.appendChild(this.children[i].toNode())}return e};l.prototype.toMarkup=function(){var e="<span";if(this.classes.length){e+=' class="';e+=h.escape(a(this.classes));e+='"'}var t="";for(var i in this.style){if(this.style.hasOwnProperty(i)){t+=h.hyphenate(i)+":"+this.style[i]+";"}}if(t){e+=' style="'+h.escape(t)+'"'}e+=">";for(var l=0;l<this.children.length;l++){e+=this.children[l].toMarkup()}e+="</span>";return e};function s(e,t,i,h){this.children=e||[];this.height=t||0;this.depth=i||0;this.maxFontSize=h||0}s.prototype.toNode=function(){var e=document.createDocumentFragment();for(var t=0;t<this.children.length;t++){e.appendChild(this.children[t].toNode())
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