https://pika.page/assets/katex-cc458258e5df3b5ed6e33405f65dac12647eacbe52ac9901d77c427b1a0c6999.js

1// [email protected] downloaded from https://ga.jspm.io/npm:[email protected]/dist/katex.mjs
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r=st.wrapFragment(Et(e.fragment,t),t);r.classes.push("cd-vert-arrow");return r},mathmlBuilder(e,t){return new Ct.MathNode("mrow",[Lt(e.fragment,t)])}});defineFunction({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:true},handler(e,t){var{parser:r}=e;var a=assertNodeType(t[0],"ordgroup");var n=a.body;var i="";for(var o=0;o<n.length;o++){var l=assertNodeType(n[o],"textord");i+=l.text}var s=parseInt(i);var m;if(isNaN(s))throw new ParseError("\\@char has non-numeric argument "+i);if(s<0||s>=1114111)throw new ParseError("\\@char with invalid code point "+i);if(s<=65535)m=String.fromCharCode(s);else{s-=65536;m=String.fromCharCode(55296+(s>>10),56320+(s&1023))}return{type:"textord",mode:r.mode,text:m}}});var htmlBuilder$8=(e,t)=>{var r=kt(e.body,t.withColor(e.color),false);return st.makeFragment(r)};var mathmlBuilder$7=(e,t)=>{var r=Ht(e.body,t.withColor(e.color));var a=new Ct.MathNode("mstyle",r);a.setAttribute("mathcolor",e.color);return a};defineFunction({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:true,argTypes:["color","original"]},handler(e,t){var{parser:r}=e;var a=assertNodeType(t[0],"color-token").color;var n=t[1];return{type:"color",mode:r.mode,color:a,body:bt(n)}},htmlBuilder:htmlBuilder$8,mathmlBuilder:mathmlBuilder$7});defineFunction({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:true,argTypes:["color"]},handler(e,t){var{parser:r,breakOnTokenText:a}=e;var n=assertNodeType(t[0],"color-token").color;r.gullet.macros.set("\\current@color",n);var i=r.parseExpression(true,a);return{type:"color",mode:r.mode,color:n,body:i}},htmlBuilder:htmlBuilder$8,mathmlBuilder:mathmlBuilder$7});defineFunction({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:0,allowedInText:true},handler(e,t,r){var{parser:a}=e;var n=a.gullet.future().text==="["?a.parseSizeGroup(true):null;var i=!a.settings.displayMode||!a.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline 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7var s=5/a.fontMetrics().ptPerEm;var m=Math.max(t-o,r+o);var d=Math.max(m/500*l,2*m-s);return Tr(e,d,true,a,n,i)};var Nr={sqrtImage:fr,sizedDelim:Sr,sizeToMaxHeight:yr,customSizedDelim:Tr,leftRightDelim:Ar};var Br={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}};var Er=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","<",">","\\langle","⟨","\\rangle","⟩","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function checkDelimiter(e,t){var r=checkSymbolNodeType(e);if(r&&d.contains(Er,r.text))return r;throw new ParseError(r?"Invalid delimiter '"+r.text+"' after '"+t.funcName+"'":"Invalid delimiter type '"+e.type+"'",e)}defineFunction({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1,argTypes:["primitive"]},handler:(e,t)=>{var r=checkDelimiter(t[0],e);return{type:"delimsizing",mode:e.parser.mode,size:Br[e.funcName].size,mclass:Br[e.funcName].mclass,delim:r.text}},htmlBuilder:(e,t)=>e.delim==="."?st.makeSpan([e.mclass]):Nr.sizedDelim(e.delim,e.size,t,e.mode,[e.mclass]),mathmlBuilder:e=>{var t=[];e.delim!=="."&&t.push(qt(e.delim,e.mode));var r=new Ct.MathNode("mo",t);e.mclass==="mopen"||e.mclass==="mclose"?r.setAttribute("fence","true"):r.setAttribute("fence","false");r.setAttribute("stretchy","true");var a=Q(Nr.sizeToMaxHeight[e.size]);r.setAttribute("minsize",a);r.setAttribute("maxsize",a);return r}});function assertParsed(e){if(!e.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}defineFunction({type:"leftright-right",names:["\\right"],props:{numArgs:1,primitive:true},handler:(e,t)=>{var r=e.parser.gullet.macros.get("\\current@color");

7if(r&&typeof r!=="string")throw new ParseError("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:e.parser.mode,delim:checkDelimiter(t[0],e).text,color:r}}});defineFunction({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:true},handler:(e,t)=>{var r=checkDelimiter(t[0],e);var a=e.parser;++a.leftrightDepth;var n=a.parseExpression(false);--a.leftrightDepth;a.expect("\\right",false);var i=assertNodeType(a.parseFunction(),"leftright-right");return{type:"leftright",mode:a.mode,body:n,left:r.text,right:i.delim,rightColor:i.color}},htmlBuilder:(e,t)=>{assertParsed(e);var r=kt(e.body,t,true,["mopen","mclose"]);var a=0;var n=0;var i=false;for(var o=0;o<r.length;o++)if(r[o].isMiddle)i=true;else{a=Math.max(r[o].height,a);n=Math.max(r[o].depth,n)}a*=t.sizeMultiplier;n*=t.sizeMultiplier;var l;l=e.left==="."?Bt(t,["mopen"]):Nr.leftRightDelim(e.left,a,n,t,e.mode,["mopen"]);r.unshift(l);if(i)for(var s=1;s<r.length;s++){var m=r[s];var d=m.isMiddle;d&&(r[s]=Nr.leftRightDelim(d.delim,a,n,d.options,e.mode,[]))}var h;if(e.right===".")h=Bt(t,["mclose"]);else{var c=e.rightColor?t.withColor(e.rightColor):t;h=Nr.leftRightDelim(e.right,a,n,c,e.mode,["mclose"])}r.push(h);return st.makeSpan(["minner"],r,t)},mathmlBuilder:(e,t)=>{assertParsed(e);var r=Ht(e.body,t);if(e.left!=="."){var a=new Ct.MathNode("mo",[qt(e.left,e.mode)]);a.setAttribute("fence","true");r.unshift(a)}if(e.right!=="."){var n=new Ct.MathNode("mo",[qt(e.right,e.mode)]);n.setAttribute("fence","true");e.rightColor&&n.setAttribute("mathcolor",e.rightColor);r.push(n)}return Pt(r)}});defineFunction({type:"middle",names:["\\middle"],props:{numArgs:1,primitive:true},handler:(e,t)=>{var r=checkDelimiter(t[0],e);if(!e.parser.leftrightDepth)throw new ParseError("\\middle without preceding \\left",r);return{type:"middle",mode:e.parser.mode,delim:r.text}},htmlBuilder:(e,t)=>{var r;if(e.delim===".")r=Bt(t,[]);else{r=Nr.sizedDelim(e.delim,1,t,e.mode,[]);var a={delim:e.delim,options:t};r.isMiddle=a}return r},mathmlBuilder:(e,t)=>{var r=e.delim==="\\vert"||e.delim==="|"?qt("|","text"):qt(e.delim,e.mode);var a=new Ct.MathNode("mo",[r]);a.setAttribute("fence","true");a.setAttribute("lspace","0.05em");a.setAttribute("rspace","0.05em");return a}});var htmlBuilder$7=(e,t)=>{var r=st.wrapFragment(Et(e.body,t),t);var a=e.label.slice(1);var n=t.sizeMultiplier;var i;var o=0;var l=d.isCharacterBox(e.body);if(a==="sout"){i=st.makeSpan(["stretchy","sout"]);i.height=t.fontMetrics().defaultRuleThickness/n;o=-.5*t.fontMetrics().xHeight}else if(a==="phase"){var s=J({number:.6,unit:"pt"},t);var m=J({number:.35,unit:"ex"},t);var h=t.havingBaseSizing();n/=h.sizeMultiplier;var c=r.height+r.depth+s+m;r.style.paddingLeft=Q(c/2+s);var u=Math.floor(1e3*c*n);var p=I(u);var f=new SvgNode([new PathNode("phase",p)],{width:"400em",height:Q(u/1e3),viewBox:"0 0 400000 "+u,preserveAspectRatio:"xMinYMin 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S=/cancel|phase/.test(a)?["svg-align"]:[];y=st.makeVList({positionType:"individualShift",children:[{type:"elem",elem:r,shift:0},{type:"elem",elem:i,shift:o,wrapperClasses:S}]},t)}if(/cancel/.test(a)){y.height=r.height;y.depth=r.depth}return/cancel/.test(a)&&!l?st.makeSpan(["mord","cancel-lap"],[y],t):st.makeSpan(["mord"],[y],t)};var mathmlBuilder$6=(e,t)=>{var r=0;var a=new Ct.MathNode(e.label.indexOf("colorbox")>-1?"mpadded":"menclose",[Lt(e.body,t)]);switch(e.label){case"\\cancel":a.setAttribute("notation","updiagonalstrike");break;case"\\bcancel":a.setAttribute("notation","downdiagonalstrike");break;case"\\phase":a.setAttribute("notation","phasorangle");break;case"\\sout":a.setAttribute("notation","horizontalstrike");break;case"\\fbox":a.setAttribute("notation","box");break;case"\\angl":a.setAttribute("notation","actuarial");break;case"\\fcolorbox":case"\\colorbox":r=t.fontMetrics().fboxsep*t.fontMetrics().ptPerEm;a.setAttribute("width","+"+2*r+"pt");a.setAttribute("height","+"+2*r+"pt");a.setAttribute("lspace",r+"pt");a.setAttribute("voffset",r+"pt");if(e.label==="\\fcolorbox"){var n=Math.max(t.fontMetrics().fboxrule,t.minRuleThickness);a.setAttribute("style","border: "+n+"em solid "+String(e.borderColor))}break;case"\\xcancel":a.setAttribute("notation","updiagonalstrike 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l=t[2];return{type:"enclose",mode:a.mode,label:n,backgroundColor:o,borderColor:i,body:l}},htmlBuilder:htmlBuilder$7,mathmlBuilder:mathmlBuilder$6});defineFunction({type:"enclose",names:["\\fbox"],props:{numArgs:1,argTypes:["hbox"],allowedInText:true},handler(e,t){var{parser:r}=e;return{type:"enclose",mode:r.mode,label:"\\fbox",body:t[0]}}});defineFunction({type:"enclose",names:["\\cancel","\\bcancel","\\xcancel","\\sout","\\phase"],props:{numArgs:1},handler(e,t){var{parser:r,funcName:a}=e;var n=t[0];return{type:"enclose",mode:r.mode,label:a,body:n}},htmlBuilder:htmlBuilder$7,mathmlBuilder:mathmlBuilder$6});defineFunction({type:"enclose",names:["\\angl"],props:{numArgs:1,argTypes:["hbox"],allowedInText:false},handler(e,t){var{parser:r}=e;return{type:"enclose",mode:r.mode,label:"\\angl",body:t[0]}}});var Cr={};function defineEnvironment(e){var{type:t,names:r,props:a,handler:n,htmlBuilder:i,mathmlBuilder:o}=e;var l={type:t,numArgs:a.numArgs||0,allowedInText:false,numOptionalArgs:0,handler:n};for(var s=0;s<r.length;++s)Cr[r[s]]=l;i&&(ft[t]=i);o&&(vt[t]=o)}var qr={};function defineMacro(e,t){qr[e]=t}function getHLines(e){var t=[];e.consumeSpaces();var r=e.fetch().text;if(r==="\\relax"){e.consume();e.consumeSpaces();r=e.fetch().text}while(r==="\\hline"||r==="\\hdashline"){e.consume();t.push(r==="\\hdashline");e.consumeSpaces();r=e.fetch().text}return t}var validateAmsEnvironmentContext=e=>{var t=e.parser.settings;if(!t.displayMode)throw new ParseError("{"+e.envName+"} can be used only in display mode.")};function getAutoTag(e){if(e.indexOf("ed")===-1)return e.indexOf("*")===-1}

7function parseArray(e,t,r){var{hskipBeforeAndAfter:a,addJot:n,cols:i,arraystretch:o,colSeparationType:l,autoTag:s,singleRow:m,emptySingleRow:d,maxNumCols:h,leqno:c}=t;e.gullet.beginGroup();m||e.gullet.macros.set("\\cr","\\\\\\relax");if(!o){var u=e.gullet.expandMacroAsText("\\arraystretch");if(u==null)o=1;else{o=parseFloat(u);if(!o||o<0)throw new ParseError("Invalid \\arraystretch: "+u)}}e.gullet.beginGroup();var p=[];var f=[p];var v=[];var g=[];var b=s!=null?[]:void 0;function beginRow(){s&&e.gullet.macros.set("\\@eqnsw","1",true)}function endRow(){if(b)if(e.gullet.macros.get("\\df@tag")){b.push(e.subparse([new Token("\\df@tag")]));e.gullet.macros.set("\\df@tag",void 0,true)}else b.push(Boolean(s)&&e.gullet.macros.get("\\@eqnsw")==="1")}beginRow();g.push(getHLines(e));while(true){var y=e.parseExpression(false,m?"\\end":"\\\\");e.gullet.endGroup();e.gullet.beginGroup();y={type:"ordgroup",mode:e.mode,body:y};r&&(y={type:"styling",mode:e.mode,style:r,body:[y]});p.push(y);var S=e.fetch().text;if(S==="&"){if(h&&p.length===h){if(m||l)throw new ParseError("Too many tab characters: &",e.nextToken);e.settings.reportNonstrict("textEnv","Too few columns specified in the {array} column argument.")}e.consume()}else{if(S==="\\end"){endRow();p.length===1&&y.type==="styling"&&y.body[0].body.length===0&&(f.length>1||!d)&&f.pop();g.length<f.length+1&&g.push([]);break}if(S!=="\\\\")throw new ParseError("Expected & or \\\\ or \\cr or \\end",e.nextToken);e.consume();var x=void 0;e.gullet.future().text!==" "&&(x=e.parseSizeGroup(true));v.push(x?x.value:null);endRow();g.push(getHLines(e));p=[];f.push(p);beginRow()}}e.gullet.endGroup();e.gullet.endGroup();return{type:"array",mode:e.mode,addJot:n,arraystretch:o,body:f,cols:i,rowGaps:v,hskipBeforeAndAfter:a,hLinesBeforeRow:g,colSeparationType:l,tags:b,leqno:c}}function dCellStyle(e){return e.slice(0,1)==="d"?"display":"text"}var Pr=function htmlBuilder(e,t){var r;var a;var n=e.body.length;var i=e.hLinesBeforeRow;var o=0;var l=new Array(n);var s=[];var m=Math.max(t.fontMetrics().arrayRuleWidth,t.minRuleThickness);var h=1/t.fontMetrics().ptPerEm;var c=5*h;if(e.colSeparationType&&e.colSeparationType==="small"){var u=t.havingStyle(A.SCRIPT).sizeMultiplier;c=u/t.sizeMultiplier*.2778}var p=e.colSeparationType==="CD"?J({number:3,unit:"ex"},t):12*h;var f=3*h;var v=e.arraystretch*p;var g=.7*v;var b=.3*v;var y=0;function setHLinePos(e){for(var t=0;t<e.length;++t){t>0&&(y+=.25);s.push({pos:y,isDashed:e[t]})}}setHLinePos(i[0]);for(r=0;r<e.body.length;++r){var S=e.body[r];var x=g;var w=b;o<S.length&&(o=S.length);var M=new Array(S.length);for(a=0;a<S.length;++a){var k=Et(S[a],t);w<k.depth&&(w=k.depth);x<k.height&&(x=k.height);M[a]=k}var z=e.rowGaps[r];var T=0;if(z){T=J(z,t);if(T>0){T+=b;w<T&&(w=T);T=0}}e.addJot&&(w+=f);M.height=x;M.depth=w;y+=x;M.pos=y;y+=w+T;l[r]=M;setHLinePos(i[r+1])}var N=y/2+t.fontMetrics().axisHeight;var B=e.cols||[];var E=[];var C;var q;var P=[];if(e.tags&&e.tags.some((e=>e)))for(r=0;r<n;++r){var F=l[r];var H=F.pos-N;var I=e.tags[r];var L=void 0;L=I===true?st.makeSpan(["eqn-num"],[],t):I===false?st.makeSpan([],[],t):st.makeSpan([],kt(I,t,true),t);L.depth=F.depth;L.height=F.height;P.push({type:"elem",elem:L,shift:H})}for(a=0,q=0;a<o||q<B.length;++a,++q){var R=B[q]||{};var O=true;while(R.type==="separator"){if(!O){C=st.makeSpan(["arraycolsep"],[]);C.style.width=Q(t.fontMetrics().doubleRuleSep);E.push(C)}if(R.separator!=="|"&&R.separator!==":")throw new ParseError("Invalid separator type: "+R.separator);var D=R.separator==="|"?"solid":"dashed";var V=st.makeSpan(["vertical-separator"],[],t);V.style.height=Q(y);V.style.borderRightWidth=Q(m);V.style.borderRightStyle=D;V.style.margin="0 "+Q(-m/2);var G=y-N;G&&(V.style.verticalAlign=Q(-G));E.push(V);q++;R=B[q]||{};O=false}if(!(a>=o)){var U=void 0;if(a>0||e.hskipBeforeAndAfter){U=d.deflt(R.pregap,c);if(U!==0){C=st.makeSpan(["arraycolsep"],[]);C.style.width=Q(U);E.push(C)}}var _=[];for(r=0;r<n;++r){var Y=l[r];var W=Y[a];if(W){var X=Y.pos-N;W.depth=Y.depth;W.height=Y.height;_.push({type:"elem",elem:W,shift:X})}}_=st.makeVList({positionType:"individualShift",children:_},t);_=st.makeSpan(["col-align-"+(R.align||"c")],[_]);E.push(_);if(a<o-1||e.hskipBeforeAndAfter){U=d.deflt(R.postgap,c);if(U!==0){C=st.makeSpan(["arraycolsep"],[]);C.style.width=Q(U);E.push(C)}}}}l=st.makeSpan(["mtable"],E);if(s.length>0){var $=st.makeLineSpan("hline",t,m);var j=st.makeLineSpan("hdashline",t,m);var Z=[{type:"elem",elem:l,shift:0}];while(s.length>0){var K=s.pop();var ee=K.pos-N;K.isDashed?Z.push({type:"elem",elem:j,shift:ee}):Z.push({type:"elem",elem:$,shift:ee})}l=st.makeVList({positionType:"individualShift",children:Z},t)}if(P.length===0)return st.makeSpan(["mord"],[l],t);var te=st.makeVList({positionType:"individualShift",children:P},t);te=st.makeSpan(["tag"],[te],t);return st.makeFragment([l,te])};var Fr={c:"center ",l:"left ",r:"right "};var Hr=function mathmlBuilder(e,t){var r=[];var a=new Ct.MathNode("mtd",[],["mtr-glue"]);var n=new Ct.MathNode("mtd",[],["mml-eqn-num"]);for(var i=0;i<e.body.length;i++){var o=e.body[i];var l=[];for(var s=0;s<o.length;

7s++)l.push(new Ct.MathNode("mtd",[Lt(o[s],t)]));if(e.tags&&e.tags[i]){l.unshift(a);l.push(a);e.leqno?l.unshift(n):l.push(n)}r.push(new Ct.MathNode("mtr",l))}var m=new Ct.MathNode("mtable",r);var d=e.arraystretch===.5?.1:.16+e.arraystretch-1+(e.addJot?.09:0);m.setAttribute("rowspacing",Q(d));var h="";var c="";if(e.cols&&e.cols.length>0){var u=e.cols;var p="";var f=false;var v=0;var g=u.length;if(u[0].type==="separator"){h+="top ";v=1}if(u[u.length-1].type==="separator"){h+="bottom ";g-=1}for(var b=v;b<g;b++)if(u[b].type==="align"){c+=Fr[u[b].align];f&&(p+="none ");f=true}else if(u[b].type==="separator"&&f){p+=u[b].separator==="|"?"solid ":"dashed ";f=false}m.setAttribute("columnalign",c.trim());/[sd]/.test(p)&&m.setAttribute("columnlines",p.trim())}if(e.colSeparationType==="align"){var y=e.cols||[];var S="";for(var x=1;x<y.length;x++)S+=x%2?"0em ":"1em ";m.setAttribute("columnspacing",S.trim())}else e.colSeparationType==="alignat"||e.colSeparationType==="gather"?m.setAttribute("columnspacing","0em"):e.colSeparationType==="small"?m.setAttribute("columnspacing","0.2778em"):e.colSeparationType==="CD"?m.setAttribute("columnspacing","0.5em"):m.setAttribute("columnspacing","1em");var w="";var M=e.hLinesBeforeRow;h+=M[0].length>0?"left ":"";h+=M[M.length-1].length>0?"right ":"";for(var k=1;k<M.length-1;k++)w+=M[k].length===0?"none ":M[k][0]?"dashed ":"solid ";/[sd]/.test(w)&&m.setAttribute("rowlines",w.trim());if(h!==""){m=new Ct.MathNode("menclose",[m]);m.setAttribute("notation",h.trim())}if(e.arraystretch&&e.arraystretch<1){m=new Ct.MathNode("mstyle",[m]);m.setAttribute("scriptlevel","1")}return m};var Ir=function alignedHandler(e,t){e.envName.indexOf("ed")===-1&&validateAmsEnvironmentContext(e);var r=[];var a=e.envName.indexOf("at")>-1?"alignat":"align";var n=e.envName==="split";var i=parseArray(e.parser,{cols:r,addJot:true,autoTag:n?void 0:getAutoTag(e.envName),emptySingleRow:true,colSeparationType:a,maxNumCols:n?2:void 0,leqno:e.parser.settings.leqno},"display");var o;var l=0;var s={type:"ordgroup",mode:e.mode,body:[]};if(t[0]&&t[0].type==="ordgroup"){var m="";for(var d=0;d<t[0].body.length;d++){var h=assertNodeType(t[0].body[d],"textord");m+=h.text}o=Number(m);l=o*2}var c=!l;i.body.forEach((function(e){for(var t=1;t<e.length;t+=2){var r=assertNodeType(e[t],"styling");var a=assertNodeType(r.body[0],"ordgroup");a.body.unshift(s)}if(c)l<e.length&&(l=e.length);else{var n=e.length/2;if(o<n)throw new ParseError("Too many math in a row: expected "+o+", but got "+n,e[0])}}));for(var u=0;u<l;++u){var p="r";var f=0;u%2===1?p="l":u>0&&c&&(f=1);r[u]={type:"align",align:p,pregap:f,postgap:0}}i.colSeparationType=c?"align":"alignat";return i};defineEnvironment({type:"array",names:["array","darray"],props:{numArgs:1},handler(e,t){var r=checkSymbolNodeType(t[0]);var a=r?[t[0]]:assertNodeType(t[0],"ordgroup").body;var n=a.map((function(e){var t=assertSymbolNodeType(e);var r=t.text;if("lcr".indexOf(r)!==-1)return{type:"align",align:r};if(r==="|")return{type:"separator",separator:"|"};if(r===":")return{type:"separator",separator:":"};throw new ParseError("Unknown column alignment: "+r,e)}));var i={cols:n,hskipBeforeAndAfter:true,maxNumCols:n.length};return parseArray(e.parser,i,dCellStyle(e.envName))},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["matrix","pmatrix","bmatrix","Bmatrix","vmatrix","Vmatrix","matrix*","pmatrix*","bmatrix*","Bmatrix*","vmatrix*","Vmatrix*"],props:{numArgs:0},handler(e){var t={matrix:null,pmatrix:["(",")"],bmatrix:["[","]"],Bmatrix:["\\{","\\}"],vmatrix:["|","|"],Vmatrix:["\\Vert","\\Vert"]}[e.envName.replace("*","")];var r="c";var a={hskipBeforeAndAfter:false,cols:[{type:"align",align:r}]};if(e.envName.charAt(e.envName.length-1)==="*"){var n=e.parser;n.consumeSpaces();if(n.fetch().text==="["){n.consume();n.consumeSpaces();r=n.fetch().text;if("lcr".indexOf(r)===-1)throw new ParseError("Expected l or c or r",n.nextToken);n.consume();n.consumeSpaces();n.expect("]");n.consume();a.cols=[{type:"align",align:r}]}}var i=parseArray(e.parser,a,dCellStyle(e.envName));var o=Math.max(0,...i.body.map((e=>e.length)));i.cols=new Array(o).fill({type:"align",align:r});return t?{type:"leftright",mode:e.mode,body:[i],left:t[0],right:t[1],rightColor:void 0}:i},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["smallmatrix"],props:{numArgs:0},handler(e){var t={arraystretch:.5};var r=parseArray(e.parser,t,"script");r.colSeparationType="small";return r},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["subarray"],props:{numArgs:1},handler(e,t){var r=checkSymbolNodeType(t[0]);var a=r?[t[0]]:assertNodeType(t[0],"ordgroup").body;var n=a.map((function(e){var t=assertSymbolNodeType(e);var r=t.text;if("lc".indexOf(r)!==-1)return{type:"align",align:r};throw new ParseError("Unknown column alignment: "+r,e)}));if(n.length>1)throw new ParseError("{subarray} can contain only one column");var i={cols:n,hskipBeforeAndAfter:false,arraystretch:.5};i=parseArray(e.parser,i,"script");

7if(i.body.length>0&&i.body[0].length>1)throw new ParseError("{subarray} can contain only one column");return i},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["cases","dcases","rcases","drcases"],props:{numArgs:0},handler(e){var t={arraystretch:1.2,cols:[{type:"align",align:"l",pregap:0,postgap:1},{type:"align",align:"l",pregap:0,postgap:0}]};var r=parseArray(e.parser,t,dCellStyle(e.envName));return{type:"leftright",mode:e.mode,body:[r],left:e.envName.indexOf("r")>-1?".":"\\{",right:e.envName.indexOf("r")>-1?"\\}":".",rightColor:void 0}},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["align","align*","aligned","split"],props:{numArgs:0},handler:Ir,htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["gathered","gather","gather*"],props:{numArgs:0},handler(e){d.contains(["gather","gather*"],e.envName)&&validateAmsEnvironmentContext(e);var t={cols:[{type:"align",align:"c"}],addJot:true,colSeparationType:"gather",autoTag:getAutoTag(e.envName),emptySingleRow:true,leqno:e.parser.settings.leqno};return parseArray(e.parser,t,"display")},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["alignat","alignat*","alignedat"],props:{numArgs:1},handler:Ir,htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["equation","equation*"],props:{numArgs:0},handler(e){validateAmsEnvironmentContext(e);var t={autoTag:getAutoTag(e.envName),emptySingleRow:true,singleRow:true,maxNumCols:1,leqno:e.parser.settings.leqno};return parseArray(e.parser,t,"display")},htmlBuilder:Pr,mathmlBuilder:Hr});defineEnvironment({type:"array",names:["CD"],props:{numArgs:0},handler(e){validateAmsEnvironmentContext(e);return parseCD(e.parser)},htmlBuilder:Pr,mathmlBuilder:Hr});defineMacro("\\nonumber","\\gdef\\@eqnsw{0}");defineMacro("\\notag","\\nonumber");defineFunction({type:"text",names:["\\hline","\\hdashline"],props:{numArgs:0,allowedInText:true,allowedInMath:true},handler(e,t){throw new ParseError(e.funcName+" valid only within array environment")}});var Lr=Cr;defineFunction({type:"environment",names:["\\begin","\\end"],props:{numArgs:1,argTypes:["text"]},handler(e,t){var{parser:r,funcName:a}=e;var n=t[0];if(n.type!=="ordgroup")throw new ParseError("Invalid environment name",n);var i="";for(var o=0;o<n.body.length;++o)i+=assertNodeType(n.body[o],"textord").text;if(a==="\\begin"){if(!Lr.hasOwnProperty(i))throw new ParseError("No such environment: "+i,n);var l=Lr[i];var{args:s,optArgs:m}=r.parseArguments("\\begin{"+i+"}",l);var d={mode:r.mode,envName:i,parser:r};var h=l.handler(d,s,m);r.expect("\\end",false);var c=r.nextToken;var u=assertNodeType(r.parseFunction(),"environment");if(u.name!==i)throw new ParseError("Mismatch: \\begin{"+i+"} matched by \\end{"+u.name+"}",c);return h}return{type:"environment",mode:r.mode,name:i,nameGroup:n}}});var htmlBuilder$5=(e,t)=>{var r=e.font;var a=t.withFont(r);return Et(e.body,a)};var mathmlBuilder$4=(e,t)=>{var r=e.font;var a=t.withFont(r);return Lt(e.body,a)};var Rr={"\\Bbb":"\\mathbb","\\bold":"\\mathbf","\\frak":"\\mathfrak","\\bm":"\\boldsymbol"};defineFunction({type:"font",names:["\\mathrm","\\mathit","\\mathbf","\\mathnormal","\\mathsfit","\\mathbb","\\mathcal","\\mathfrak","\\mathscr","\\mathsf","\\mathtt","\\Bbb","\\bold","\\frak"],props:{numArgs:1,allowedInArgument:true},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=gt(t[0]);var i=a;i in Rr&&(i=Rr[i]);return{type:"font",mode:r.mode,font:i.slice(1),body:n}},htmlBuilder:htmlBuilder$5,mathmlBuilder:mathmlBuilder$4});defineFunction({type:"mclass",names:["\\boldsymbol","\\bm"],props:{numArgs:1},handler:(e,t)=>{var{parser:r}=e;var a=t[0];var n=d.isCharacterBox(a);return{type:"mclass",mode:r.mode,mclass:binrelClass(a),body:[{type:"font",mode:r.mode,font:"boldsymbol",body:a}],isCharacterBox:n}}});defineFunction({type:"font",names:["\\rm","\\sf","\\tt","\\bf","\\it","\\cal"],props:{numArgs:0,allowedInText:true},handler:(e,t)=>{var{parser:r,funcName:a,breakOnTokenText:n}=e;var{mode:i}=r;var o=r.parseExpression(true,n);var l="math"+a.slice(1);return{type:"font",mode:i,font:l,body:{type:"ordgroup",mode:r.mode,body:o}}},htmlBuilder:htmlBuilder$5,mathmlBuilder:mathmlBuilder$4});var adjustStyle=(e,t)=>

7{var r=t;e==="display"?r=r.id>=A.SCRIPT.id?r.text():A.DISPLAY:e==="text"&&r.size===A.DISPLAY.size?r=A.TEXT:e==="script"?r=A.SCRIPT:e==="scriptscript"&&(r=A.SCRIPTSCRIPT);return r};var htmlBuilder$4=(e,t)=>{var r=adjustStyle(e.size,t.style);var a=r.fracNum();var n=r.fracDen();var i;i=t.havingStyle(a);var o=Et(e.numer,i,t);if(e.continued){var l=8.5/t.fontMetrics().ptPerEm;var s=3.5/t.fontMetrics().ptPerEm;o.height=o.height<l?l:o.height;o.depth=o.depth<s?s:o.depth}i=t.havingStyle(n);var m=Et(e.denom,i,t);var d;var h;var c;if(e.hasBarLine){if(e.barSize){h=J(e.barSize,t);d=st.makeLineSpan("frac-line",t,h)}else d=st.makeLineSpan("frac-line",t);h=d.height;c=d.height}else{d=null;h=0;c=t.fontMetrics().defaultRuleThickness}var u;var p;var f;if(r.size===A.DISPLAY.size||e.size==="display"){u=t.fontMetrics().num1;p=h>0?3*c:7*c;f=t.fontMetrics().denom1}else{if(h>0){u=t.fontMetrics().num2;p=c}else{u=t.fontMetrics().num3;p=3*c}f=t.fontMetrics().denom2}var v;if(d){var g=t.fontMetrics().axisHeight;u-o.depth-(g+.5*h)<p&&(u+=p-(u-o.depth-(g+.5*h)));g-.5*h-(m.height-f)<p&&(f+=p-(g-.5*h-(m.height-f)));var b=-(g-.5*h);v=st.makeVList({positionType:"individualShift",children:[{type:"elem",elem:m,shift:f},{type:"elem",elem:d,shift:b},{type:"elem",elem:o,shift:-u}]},t)}else{var y=u-o.depth-(m.height-f);if(y<p){u+=.5*(p-y);f+=.5*(p-y)}v=st.makeVList({positionType:"individualShift",children:[{type:"elem",elem:m,shift:f},{type:"elem",elem:o,shift:-u}]},t)}i=t.havingStyle(r);v.height*=i.sizeMultiplier/t.sizeMultiplier;v.depth*=i.sizeMultiplier/t.sizeMultiplier;var S;S=r.size===A.DISPLAY.size?t.fontMetrics().delim1:r.size===A.SCRIPTSCRIPT.size?t.havingStyle(A.SCRIPT).fontMetrics().delim2:t.fontMetrics().delim2;var x;var w;x=e.leftDelim==null?Bt(t,["mopen"]):Nr.customSizedDelim(e.leftDelim,S,true,t.havingStyle(r),e.mode,["mopen"]);w=e.continued?st.makeSpan([]):e.rightDelim==null?Bt(t,["mclose"]):Nr.customSizedDelim(e.rightDelim,S,true,t.havingStyle(r),e.mode,["mclose"]);return st.makeSpan(["mord"].concat(i.sizingClasses(t)),[x,st.makeSpan(["mfrac"],[v]),w],t)};var mathmlBuilder$3=(e,t)=>{var r=new Ct.MathNode("mfrac",[Lt(e.numer,t),Lt(e.denom,t)]);if(e.hasBarLine){if(e.barSize){var a=J(e.barSize,t);r.setAttribute("linethickness",Q(a))}}else r.setAttribute("linethickness","0px");var n=adjustStyle(e.size,t.style);if(n.size!==t.style.size){r=new Ct.MathNode("mstyle",[r]);var i=n.size===A.DISPLAY.size?"true":"false";r.setAttribute("displaystyle",i);r.setAttribute("scriptlevel","0")}if(e.leftDelim!=null||e.rightDelim!=null){var o=[];if(e.leftDelim!=null){var l=new Ct.MathNode("mo",[new Ct.TextNode(e.leftDelim.replace("\\",""))]);l.setAttribute("fence","true");o.push(l)}o.push(r);if(e.rightDelim!=null){var s=new Ct.MathNode("mo",[new Ct.TextNode(e.rightDelim.replace("\\",""))]);s.setAttribute("fence","true");o.push(s)}return Pt(o)}return r};defineFunction({type:"genfrac",names:["\\dfrac","\\frac","\\tfrac","\\dbinom","\\binom","\\tbinom","\\\\atopfrac","\\\\bracefrac","\\\\brackfrac"],props:{numArgs:2,allowedInArgument:true},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=t[0];var i=t[1];var o;var l=null;var s=null;var m="auto";switch(a){case"\\dfrac":case"\\frac":case"\\tfrac":o=true;break;case"\\\\atopfrac":o=false;break;case"\\dbinom":case"\\binom":case"\\tbinom":o=false;l="(";s=")";break;case"\\\\bracefrac":o=false;l="\\{";s="\\}";break;case"\\\\brackfrac":o=false;l="[";s="]";break;default:throw new Error("Unrecognized genfrac command")}switch(a){case"\\dfrac":case"\\dbinom":m="display";break;case"\\tfrac":case"\\tbinom":m="text";break}return{type:"genfrac",mode:r.mode,continued:false,numer:n,denom:i,hasBarLine:o,leftDelim:l,rightDelim:s,size:m,barSize:null}},htmlBuilder:htmlBuilder$4,mathmlBuilder:mathmlBuilder$3});defineFunction({type:"genfrac",names:["\\cfrac"],props:{numArgs:2},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=t[0];var i=t[1];return{type:"genfrac",mode:r.mode,continued:true,numer:n,denom:i,hasBarLine:true,leftDelim:null,rightDelim:null,size:"display",barSize:null}}});defineFunction({type:"infix",names:["\\over","\\choose","\\atop","\\brace","\\brack"],props:{numArgs:0,infix:true},handler(e){var{parser:t,funcName:r,token:a}=e;var n;switch(r){case"\\over":n="\\frac";break;case"\\choose":n="\\binom";break;case"\\atop":n="\\\\atopfrac";break;case"\\brace":n="\\\\bracefrac";break;case"\\brack":n="\\\\brackfrac";break;default:throw new Error("Unrecognized infix genfrac command")}return{type:"infix",mode:t.mode,replaceWith:n,token:a}}});var Or=["display","text","script","scriptscript"];var Dr=function delimFromValue(e){var t=null;if(e.length>0){t=e;t=t==="."?null:t}return t};defineFunction({type:"genfrac",names:["\\genfrac"],props:{numArgs:6,allowedInArgument:true,argTypes:["math","math","size","text","math","math"]},handler(e,t){var{parser:r}=e;var a=t[4];var n=t[5];var i=gt(t[0]);

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p=assertNodeType(u.body[0],"textord");c=Or[Number(p.text)]}}else{u=assertNodeType(u,"textord");c=Or[Number(u.text)]}return{type:"genfrac",mode:r.mode,numer:a,denom:n,continued:false,hasBarLine:d,barSize:h,leftDelim:o,rightDelim:s,size:c}},htmlBuilder:htmlBuilder$4,mathmlBuilder:mathmlBuilder$3});defineFunction({type:"infix",names:["\\above"],props:{numArgs:1,argTypes:["size"],infix:true},handler(e,t){var{parser:r,funcName:a,token:n}=e;return{type:"infix",mode:r.mode,replaceWith:"\\\\abovefrac",size:assertNodeType(t[0],"size").value,token:n}}});defineFunction({type:"genfrac",names:["\\\\abovefrac"],props:{numArgs:3,argTypes:["math","size","math"]},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=t[0];var i=s(assertNodeType(t[1],"infix").size);var o=t[2];var l=i.number>0;return{type:"genfrac",mode:r.mode,numer:n,denom:o,continued:false,hasBarLine:l,barSize:i,leftDelim:null,rightDelim:null,size:"auto"}},htmlBuilder:htmlBuilder$4,mathmlBuilder:mathmlBuilder$3});var htmlBuilder$3=(e,t)=>{var r=t.style;var a;var n;if(e.type==="supsub"){a=e.sup?Et(e.sup,t.havingStyle(r.sup()),t):Et(e.sub,t.havingStyle(r.sub()),t);n=assertNodeType(e.base,"horizBrace")}else n=assertNodeType(e,"horizBrace");var i=Et(n.base,t.havingBaseStyle(A.DISPLAY));var o=$t.svgSpan(n,t);var l;if(n.isOver){l=st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:i},{type:"kern",size:.1},{type:"elem",elem:o}]},t);l.children[0].children[0].children[1].classes.push("svg-align")}else{l=st.makeVList({positionType:"bottom",positionData:i.depth+.1+o.height,children:[{type:"elem",elem:o},{type:"kern",size:.1},{type:"elem",elem:i}]},t);l.children[0].children[0].children[0].classes.push("svg-align")}if(a){var s=st.makeSpan(["mord",n.isOver?"mover":"munder"],[l],t);l=n.isOver?st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:s},{type:"kern",size:.2},{type:"elem",elem:a}]},t):st.makeVList({positionType:"bottom",positionData:s.depth+.2+a.height+a.depth,children:[{type:"elem",elem:a},{type:"kern",size:.2},{type:"elem",elem:s}]},t)}return st.makeSpan(["mord",n.isOver?"mover":"munder"],[l],t)};var mathmlBuilder$2=(e,t)=>{var r=$t.mathMLnode(e.label);return new Ct.MathNode(e.isOver?"mover":"munder",[Lt(e.base,t),r])};defineFunction({type:"horizBrace",names:["\\overbrace","\\underbrace"],props:{numArgs:1},handler(e,t){var{parser:r,funcName:a}=e;return{type:"horizBrace",mode:r.mode,label:a,isOver:/^\\over/.test(a),base:t[0]}},htmlBuilder:htmlBuilder$3,mathmlBuilder:mathmlBuilder$2});defineFunction({type:"href",names:["\\href"],props:{numArgs:2,argTypes:["url","original"],allowedInText:true},handler:(e,t)=>{var{parser:r}=e;var a=t[1];var n=assertNodeType(t[0],"url").url;return r.settings.isTrusted({command:"\\href",url:n})?{type:"href",mode:r.mode,href:n,body:bt(a)}:r.formatUnsupportedCmd("\\href")},htmlBuilder:(e,t)=>{var r=kt(e.body,t,false);return st.makeAnchor(e.href,[],r,t)},mathmlBuilder:(e,t)=>{var r=It(e.body,t);r instanceof MathNode||(r=new MathNode("mrow",[r]));r.setAttribute("href",e.href);return r}});defineFunction({type:"href",names:["\\url"],props:{numArgs:1,argTypes:["url"],allowedInText:true},handler:(e,t)=>{var{parser:r}=e;var a=assertNodeType(t[0],"url").url;if(!r.settings.isTrusted({command:"\\url",url:a}))return r.formatUnsupportedCmd("\\url");var n=[];for(var i=0;i<a.length;i++){var o=a[i];o==="~"&&(o="\\textasciitilde");n.push({type:"textord",mode:"text",text:o})}var l={type:"text",mode:r.mode,font:"\\texttt",body:n};return{type:"href",mode:r.mode,href:a,body:bt(l)}}});defineFunction({type:"hbox",names:["\\hbox"],props:{numArgs:1,argTypes:["text"],allowedInText:true,primitive:true},handler(e,t){var{parser:r}=e;return{type:"hbox",mode:r.mode,body:bt(t[0])}},htmlBuilder(e,t){var r=kt(e.body,t,false);return st.makeFragment(r)},mathmlBuilder(e,t){return new Ct.MathNode("mrow",Ht(e.body,t))}});defineFunction({type:"html",names:["\\htmlClass","\\htmlId","\\htmlStyle","\\htmlData"],props:{numArgs:2,argTypes:["raw","original"],allowedInText:true},handler:(e,t)=>{var{parser:r,funcName:a,token:n}=e;var i=assertNodeType(t[0],"raw").string;var o=t[1];r.settings.strict&&r.settings.reportNonstrict("htmlExtension","HTML extension is disabled on strict mode");var l;var s={};switch(a){case"\\htmlClass":s.class=i;l={command:"\\htmlClass",class:i};break;case"\\htmlId":s.id=i;l={command:"\\htmlId",id:i};break;case"\\htmlStyle":s.style=i;l={command:"\\htmlStyle",style:i};break;case"\\htmlData":var m=i.split(",");for(var d=0;d<m.length;d++){var h=m[d].split("=");if(h.length!==2)throw new ParseError("Error parsing key-value for \\htmlData");s["data-"+h[0].trim()]=h[1].trim()}l={command:"\\htmlData",attributes:s};break;default:throw new Error("Unrecognized html command")}return r.settings.isTrusted(l)?{type:"html",mode:r.mode,attributes:s,body:bt(o)}:r.formatUnsupportedCmd(a)},htmlBuilder:(e,t)=>{var r=kt(e.body,t,false);var a=["enclosing"];e.attributes.class&&a.push(...e.attributes.class.trim().split(/\s+/));var n=st.makeSpan(a,r,t);for(var i in e.attributes)i!=="class"&&e.attributes.hasOwnProperty(i)&&n.setAttribute(i,e.attributes[i]);return n},mathmlBuilder:(e,t)=>It(e.body,t)});defineFunction({type:"htmlmathml",names:["\\html@mathml"],props:{numArgs:2,allowedInText:true},handler:(e,t)=>{var{parser:r}=e;return{type:"htmlmathml",mode:r.mode,html:bt(t[0]),mathml:bt(t[1])}},htmlBuilder:(e,t)=>{var r=kt(e.html,t,false);return st.makeFragment(r)},mathmlBuilder:(e,t)=>It(e.mathml,t)});var Vr=function sizeData(e){if(/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(e))return{number:+e,unit:"bp"};var t=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e);if(!t)throw new ParseError("Invalid size: '"+e+"' in \\includegraphics");

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a.settings.isTrusted({command:"\\includegraphics",url:u})?{type:"includegraphics",mode:a.mode,alt:l,width:n,height:i,totalheight:o,src:u}:a.formatUnsupportedCmd("\\includegraphics")},htmlBuilder:(e,t)=>{var r=J(e.height,t);var a=0;e.totalheight.number>0&&(a=J(e.totalheight,t)-r);var n=0;e.width.number>0&&(n=J(e.width,t));var i={height:Q(r+a)};n>0&&(i.width=Q(n));a>0&&(i.verticalAlign=Q(-a));var o=new Img(e.src,e.alt,i);o.height=r;o.depth=a;return o},mathmlBuilder:(e,t)=>{var r=new Ct.MathNode("mglyph",[]);r.setAttribute("alt",e.alt);var a=J(e.height,t);var n=0;if(e.totalheight.number>0){n=J(e.totalheight,t)-a;r.setAttribute("valign",Q(-n))}r.setAttribute("height",Q(a+n));if(e.width.number>0){var i=J(e.width,t);r.setAttribute("width",Q(i))}r.setAttribute("src",e.src);return r}});defineFunction({type:"kern",names:["\\kern","\\mkern","\\hskip","\\mskip"],props:{numArgs:1,argTypes:["size"],primitive:true,allowedInText:true},handler(e,t){var{parser:r,funcName:a}=e;var n=assertNodeType(t[0],"size");if(r.settings.strict){var i=a[1]==="m";var o=n.value.unit==="mu";if(i){o||r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" supports only mu units, not "+n.value.unit+" units");r.mode!=="math"&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" works only in math mode")}else o&&r.settings.reportNonstrict("mathVsTextUnits","LaTeX's "+a+" doesn't support mu units")}return{type:"kern",mode:r.mode,dimension:n.value}},htmlBuilder(e,t){return st.makeGlue(e.dimension,t)},mathmlBuilder(e,t){var r=J(e.dimension,t);return new Ct.SpaceNode(r)}});defineFunction({type:"lap",names:["\\mathllap","\\mathrlap","\\mathclap"],props:{numArgs:1,allowedInText:true},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=t[0];return{type:"lap",mode:r.mode,alignment:a.slice(5),body:n}},htmlBuilder:(e,t)=>{var r;if(e.alignment==="clap"){r=st.makeSpan([],[Et(e.body,t)]);r=st.makeSpan(["inner"],[r],t)}else r=st.makeSpan(["inner"],[Et(e.body,t)]);var a=st.makeSpan(["fix"],[]);var n=st.makeSpan([e.alignment],[r,a],t);var i=st.makeSpan(["strut"]);i.style.height=Q(n.height+n.depth);n.depth&&(i.style.verticalAlign=Q(-n.depth));n.children.unshift(i);n=st.makeSpan(["thinbox"],[n],t);return st.makeSpan(["mord","vbox"],[n],t)},mathmlBuilder:(e,t)=>{var r=new Ct.MathNode("mpadded",[Lt(e.body,t)]);if(e.alignment!=="rlap"){var a=e.alignment==="llap"?"-1":"-0.5";r.setAttribute("lspace",a+"width")}r.setAttribute("width","0px");return r}});defineFunction({type:"styling",names:["\\(","$"],props:{numArgs:0,allowedInText:true,allowedInMath:false},handler(e,t){var{funcName:r,parser:a}=e;var n=a.mode;a.switchMode("math");var i=r==="\\("?"\\)":"$";var o=a.parseExpression(false,i);a.expect(i);a.switchMode(n);return{type:"styling",mode:a.mode,style:"text",body:o}}});defineFunction({type:"text",names:["\\)","\\]"],props:{numArgs:0,allowedInText:true,allowedInMath:false},handler(e,t){throw new ParseError("Mismatched "+e.funcName)}});var chooseMathStyle=(e,t)=>{switch(t.style.size){case A.DISPLAY.size:return e.display;case A.TEXT.size:return e.text;case A.SCRIPT.size:return e.script;case A.SCRIPTSCRIPT.size:return e.scriptscript;default:return e.text}};defineFunction({type:"mathchoice",names:["\\mathchoice"],props:{numArgs:4,primitive:true},handler:(e,t)=>{var{parser:r}=e;return{type:"mathchoice",mode:r.mode,display:bt(t[0]),text:bt(t[1]),script:bt(t[2]),scriptscript:bt(t[3])}},htmlBuilder:(e,t)=>{var r=chooseMathStyle(e,t);var a=kt(r,t,false);return st.makeFragment(a)},mathmlBuilder:(e,t)=>{var r=chooseMathStyle(e,t);return It(r,t)}});var assembleSupSub=(e,t,r,a,n,i,o)=>{e=st.makeSpan([],[e]);var l=r&&d.isCharacterBox(r);var s;var m;if(t){var h=Et(t,a.havingStyle(n.sup()),a);m={elem:h,kern:Math.max(a.fontMetrics().bigOpSpacing1,a.fontMetrics().bigOpSpacing3-h.depth)}}if(r){var c=Et(r,a.havingStyle(n.sub()),a);s={elem:c,kern:Math.max(a.fontMetrics().bigOpSpacing2,a.fontMetrics().bigOpSpacing4-c.height)}}var 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7:false,name:r}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});defineFunction({type:"op",names:["\\int","\\iint","\\iiint","\\oint","\\oiint","\\oiiint","∫","∬","∭","∮","∯","∰"],props:{numArgs:0},handler(e){var{parser:t,funcName:r}=e;var a=r;a.length===1&&(a=_r[a]);return{type:"op",mode:t.mode,limits:false,parentIsSupSub:false,symbol:true,name:a}},htmlBuilder:htmlBuilder$2,mathmlBuilder:mathmlBuilder$1});var htmlBuilder$1=(e,t)=>{var r;var a;var n=false;var i;if(e.type==="supsub"){r=e.sup;a=e.sub;i=assertNodeType(e.base,"operatorname");n=true}else i=assertNodeType(e,"operatorname");var o;if(i.body.length>0){var l=i.body.map((e=>{var t=e.text;return typeof t==="string"?{type:"textord",mode:e.mode,text:t}:e}));var s=kt(l,t.withFont("mathrm"),true);for(var m=0;m<s.length;m++){var d=s[m];d instanceof SymbolNode&&(d.text=d.text.replace(/\u2212/,"-").replace(/\u2217/,"*"))}o=st.makeSpan(["mop"],s,t)}else o=st.makeSpan(["mop"],[],t);return n?assembleSupSub(o,r,a,t,t.style,0,0):o};var mathmlBuilder=(e,t)=>{var r=Ht(e.body,t.withFont("mathrm"));var a=true;for(var n=0;n<r.length;n++){var i=r[n];if(i instanceof Ct.SpaceNode);else if(i instanceof Ct.MathNode)switch(i.type){case"mi":case"mn":case"ms":case"mspace":case"mtext":break;case"mo":var o=i.children[0];i.children.length===1&&o instanceof Ct.TextNode?o.text=o.text.replace(/\u2212/,"-").replace(/\u2217/,"*"):a=false;break;default:a=false}else a=false}if(a){var l=r.map((e=>e.toText())).join("");r=[new Ct.TextNode(l)]}var s=new Ct.MathNode("mi",r);s.setAttribute("mathvariant","normal");var m=new Ct.MathNode("mo",[qt("⁡","text")]);return e.parentIsSupSub?new Ct.MathNode("mrow",[s,m]):Ct.newDocumentFragment([s,m])};defineFunction({type:"operatorname",names:["\\operatorname@","\\operatornamewithlimits"],props:{numArgs:1},handler:(e,t)=>{var{parser:r,funcName:a}=e;var n=t[0];return{type:"operatorname",mode:r.mode,body:bt(n),alwaysHandleSupSub:a==="\\operatornamewithlimits",limits:false,parentIsSupSub:false}},htmlBuilder:htmlBuilder$1,mathmlBuilder:mathmlBuilder});defineMacro("\\operatorname","\\@ifstar\\operatornamewithlimits\\operatorname@");defineFunctionBuilders({type:"ordgroup",htmlBuilder(e,t){return e.semisimple?st.makeFragment(kt(e.body,t,false)):st.makeSpan(["mord"],kt(e.body,t,true),t)},mathmlBuilder(e,t){return It(e.body,t,true)}});defineFunction({type:"overline",names:["\\overline"],props:{numArgs:1},handler(e,t){var{parser:r}=e;var a=t[0];return{type:"overline",mode:r.mode,body:a}},htmlBuilder(e,t){var r=Et(e.body,t.havingCrampedStyle());var a=st.makeLineSpan("overline-line",t);var n=t.fontMetrics().defaultRuleThickness;var i=st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r},{type:"kern",size:3*n},{type:"elem",elem:a},{type:"kern",size:n}]},t);return st.makeSpan(["mord","overline"],[i],t)},mathmlBuilder(e,t){var r=new Ct.MathNode("mo",[new Ct.TextNode("‾")]);r.setAttribute("stretchy","true");var a=new Ct.MathNode("mover",[Lt(e.body,t),r]);a.setAttribute("accent","true");return a}});defineFunction({type:"phantom",names:["\\phantom"],props:{numArgs:1,allowedInText:true},handler:(e,t)=>{var{parser:r}=e;var a=t[0];return{type:"phantom",mode:r.mode,body:bt(a)}},htmlBuilder:(e,t)=>{var r=kt(e.body,t.withPhantom(),false);return st.makeFragment(r)},mathmlBuilder:(e,t)=>{var r=Ht(e.body,t);return new Ct.MathNode("mphantom",r)}});defineFunction({type:"hphantom",names:["\\hphantom"],props:{numArgs:1,allowedInText:true},handler:(e,t)=>{var{parser:r}=e;var a=t[0];return{type:"hphantom",mode:r.mode,body:a}},htmlBuilder:(e,t)=>{var r=st.makeSpan([],[Et(e.body,t.withPhantom())]);r.height=0;r.depth=0;if(r.children)for(var a=0;a<r.children.length;a++){r.children[a].height=0;r.children[a].depth=0}r=st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t);return st.makeSpan(["mord"],[r],t)},mathmlBuilder:(e,t)=>{var r=Ht(bt(e.body),t);var a=new Ct.MathNode("mphantom",r);var n=new Ct.MathNode("mpadded",[a]);n.setAttribute("height","0px");n.setAttribute("depth","0px");return n}});defineFunction({type:"vphantom",names:["\\vphantom"],props:{numArgs:1,allowedInText:true},handler:(e,t)=>{var{parser:r}=e;var a=t[0];return{type:"vphantom",mode:r.mode,body:a}},htmlBuilder:(e,t)=>

7{var r=st.makeSpan(["inner"],[Et(e.body,t.withPhantom())]);var a=st.makeSpan(["fix"],[]);return st.makeSpan(["mord","rlap"],[r,a],t)},mathmlBuilder:(e,t)=>{var r=Ht(bt(e.body),t);var a=new Ct.MathNode("mphantom",r);var n=new Ct.MathNode("mpadded",[a]);n.setAttribute("width","0px");return n}});defineFunction({type:"raisebox",names:["\\raisebox"],props:{numArgs:2,argTypes:["size","hbox"],allowedInText:true},handler(e,t){var{parser:r}=e;var a=assertNodeType(t[0],"size").value;var n=t[1];return{type:"raisebox",mode:r.mode,dy:a,body:n}},htmlBuilder(e,t){var r=Et(e.body,t);var a=J(e.dy,t);return st.makeVList({positionType:"shift",positionData:-a,children:[{type:"elem",elem:r}]},t)},mathmlBuilder(e,t){var r=new Ct.MathNode("mpadded",[Lt(e.body,t)]);var a=e.dy.number+e.dy.unit;r.setAttribute("voffset",a);return r}});defineFunction({type:"internal",names:["\\relax"],props:{numArgs:0,allowedInText:true},handler(e){var{parser:t}=e;return{type:"internal",mode:t.mode}}});defineFunction({type:"rule",names:["\\rule"],props:{numArgs:2,numOptionalArgs:1,allowedInText:true,allowedInMath:true,argTypes:["size","size","size"]},handler(e,t,r){var{parser:a}=e;var n=r[0];var i=assertNodeType(t[0],"size");var o=assertNodeType(t[1],"size");return{type:"rule",mode:a.mode,shift:n&&assertNodeType(n,"size").value,width:i.value,height:o.value}},htmlBuilder(e,t){var r=st.makeSpan(["mord","rule"],[],t);var a=J(e.width,t);var n=J(e.height,t);var i=e.shift?J(e.shift,t):0;r.style.borderRightWidth=Q(a);r.style.borderTopWidth=Q(n);r.style.bottom=Q(i);r.width=a;r.height=n+i;r.depth=-i;r.maxFontSize=n*1.125*t.sizeMultiplier;return r},mathmlBuilder(e,t){var r=J(e.width,t);var a=J(e.height,t);var n=e.shift?J(e.shift,t):0;var i=t.color&&t.getColor()||"black";var o=new Ct.MathNode("mspace");o.setAttribute("mathbackground",i);o.setAttribute("width",Q(r));o.setAttribute("height",Q(a));var l=new Ct.MathNode("mpadded",[o]);if(n>=0)l.setAttribute("height",Q(n));else{l.setAttribute("height",Q(n));l.setAttribute("depth",Q(-n))}l.setAttribute("voffset",Q(n));return l}});function sizingGroup(e,t,r){var a=kt(e,t,false);var n=t.sizeMultiplier/r.sizeMultiplier;for(var i=0;i<a.length;i++){var o=a[i].classes.indexOf("sizing");o<0?Array.prototype.push.apply(a[i].classes,t.sizingClasses(r)):a[i].classes[o+1]==="reset-size"+t.size&&(a[i].classes[o+1]="reset-size"+r.size);a[i].height*=n;a[i].depth*=n}return st.makeFragment(a)}var Yr=["\\tiny","\\sixptsize","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var htmlBuilder=(e,t)=>{var r=t.havingSize(e.size);return sizingGroup(e.body,r,t)};defineFunction({type:"sizing",names:Yr,props:{numArgs:0,allowedInText:true},handler:(e,t)=>{var{breakOnTokenText:r,funcName:a,parser:n}=e;var i=n.parseExpression(false,r);return{type:"sizing",mode:n.mode,size:Yr.indexOf(a)+1,body:i}},htmlBuilder:htmlBuilder,mathmlBuilder:(e,t)=>{var r=t.havingSize(e.size);var a=Ht(e.body,r);var n=new Ct.MathNode("mstyle",a);n.setAttribute("mathsize",Q(r.sizeMultiplier));return n}});defineFunction({type:"smash",names:["\\smash"],props:{numArgs:1,numOptionalArgs:1,allowedInText:true},handler:(e,t,r)=>{var{parser:a}=e;var n=false;var i=false;var o=r[0]&&assertNodeType(r[0],"ordgroup");if(o){var l="";for(var s=0;s<o.body.length;++s){var m=o.body[s];l=m.text;if(l==="t")n=true;else{if(l!=="b"){n=false;i=false;break}i=true}}}else{n=true;i=true}var d=t[0];return{type:"smash",mode:a.mode,body:d,smashHeight:n,smashDepth:i}},htmlBuilder:(e,t)=>{var r=st.makeSpan([],[Et(e.body,t)]);if(!e.smashHeight&&!e.smashDepth)return r;if(e.smashHeight){r.height=0;if(r.children)for(var a=0;a<r.children.length;a++)r.children[a].height=0}if(e.smashDepth){r.depth=0;if(r.children)for(var n=0;n<r.children.length;n++)r.children[n].depth=0}var i=st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r}]},t);return st.makeSpan(["mord"],[i],t)},mathmlBuilder:(e,t)=>{var r=new Ct.MathNode("mpadded",[Lt(e.body,t)]);e.smashHeight&&r.setAttribute("height","0px");e.smashDepth&&r.setAttribute("depth","0px");return r}});defineFunction({type:"sqrt",names:["\\sqrt"],props:{numArgs:1,numOptionalArgs:1},handler(e,t,r){var{parser:a}=e;var n=r[0];var i=t[0];return{type:"sqrt",mode:a.mode,body:i,index:n}},htmlBuilder(e,t){var r=Et(e.body,t.havingCrampedStyle());r.height===0&&(r.height=t.fontMetrics().xHeight);r=st.wrapFragment(r,t);var a=t.fontMetrics();var n=a.defaultRuleThickness;var i=n;

7t.style.id<A.TEXT.id&&(i=t.fontMetrics().xHeight);var o=n+i/4;var l=r.height+r.depth+o+n;var{span:s,ruleWidth:m,advanceWidth:d}=Nr.sqrtImage(l,t);var h=s.height-m;h>r.height+r.depth+o&&(o=(o+h-r.height-r.depth)/2);var c=s.height-r.height-o-m;r.style.paddingLeft=Q(d);var u=st.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+c)},{type:"elem",elem:s},{type:"kern",size:m}]},t);if(e.index){var p=t.havingStyle(A.SCRIPTSCRIPT);var f=Et(e.index,p,t);var v=.6*(u.height-u.depth);var g=st.makeVList({positionType:"shift",positionData:-v,children:[{type:"elem",elem:f}]},t);var b=st.makeSpan(["root"],[g]);return st.makeSpan(["mord","sqrt"],[b,u],t)}return st.makeSpan(["mord","sqrt"],[u],t)},mathmlBuilder(e,t){var{body:r,index:a}=e;return a?new Ct.MathNode("mroot",[Lt(r,t),Lt(a,t)]):new Ct.MathNode("msqrt",[Lt(r,t)])}});var Wr={display:A.DISPLAY,text:A.TEXT,script:A.SCRIPT,scriptscript:A.SCRIPTSCRIPT};defineFunction({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:true,primitive:true},handler(e,t){var{breakOnTokenText:r,funcName:a,parser:n}=e;var i=n.parseExpression(true,r);var o=a.slice(1,a.length-5);return{type:"styling",mode:n.mode,style:o,body:i}},htmlBuilder(e,t){var r=Wr[e.style];var a=t.havingStyle(r).withFont("");return sizingGroup(e.body,a,t)},mathmlBuilder(e,t){var r=Wr[e.style];var a=t.havingStyle(r);var n=Ht(e.body,a);var i=new Ct.MathNode("mstyle",n);var o={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]};var l=o[e.style];i.setAttribute("scriptlevel",l[0]);i.setAttribute("displaystyle",l[1]);return i}});var Xr=function htmlBuilderDelegate(e,t){var r=e.base;if(r){if(r.type==="op"){var a=r.limits&&(t.style.size===A.DISPLAY.size||r.alwaysHandleSupSub);return a?htmlBuilder$2:null}if(r.type==="operatorname"){var n=r.alwaysHandleSupSub&&(t.style.size===A.DISPLAY.size||r.limits);return n?htmlBuilder$1:null}if(r.type==="accent")return d.isCharacterBox(r.base)?htmlBuilder$a:null;if(r.type==="horizBrace"){var i=!e.sub;return i===r.isOver?htmlBuilder$3:null}return null}return null};defineFunctionBuilders({type:"supsub",htmlBuilder(e,t){var r=Xr(e,t);if(r)return r(e,t);var{base:a,sup:n,sub:i}=e;var o=Et(a,t);var l;var s;var m=t.fontMetrics();var h=0;var c=0;var u=a&&d.isCharacterBox(a);if(n){var p=t.havingStyle(t.style.sup());l=Et(n,p,t);u||(h=o.height-p.fontMetrics().supDrop*p.sizeMultiplier/t.sizeMultiplier)}if(i){var f=t.havingStyle(t.style.sub());s=Et(i,f,t);u||(c=o.depth+f.fontMetrics().subDrop*f.sizeMultiplier/t.sizeMultiplier)}var v;v=t.style===A.DISPLAY?m.sup1:t.style.cramped?m.sup3:m.sup2;var g=t.sizeMultiplier;var b=Q(.5/m.ptPerEm/g);var y=null;if(s){var S=e.base&&e.base.type==="op"&&e.base.name&&(e.base.name==="\\oiint"||e.base.name==="\\oiiint");(o instanceof SymbolNode||S)&&(y=Q(-o.italic))}var x;if(l&&s){h=Math.max(h,v,l.depth+.25*m.xHeight);c=Math.max(c,m.sub2);var w=m.defaultRuleThickness;var M=4*w;if(h-l.depth-(s.height-c)<M){c=M-(h-l.depth)+s.height;var k=.8*m.xHeight-(h-l.depth);if(k>0){h+=k;c-=k}}var z=[{type:"elem",elem:s,shift:c,marginRight:b,marginLeft:y},{type:"elem",elem:l,shift:-h,marginRight:b}];x=st.makeVList({positionType:"individualShift",children:z},t)}else if(s){c=Math.max(c,m.sub1,s.height-.8*m.xHeight);var T=[{type:"elem",elem:s,marginLeft:y,marginRight:b}];x=st.makeVList({positionType:"shift",positionData:c,children:T},t)}else{if(!l)throw new Error("supsub must have either sup or sub.");h=Math.max(h,v,l.depth+.25*m.xHeight);x=st.makeVList({positionType:"shift",positionData:-h,children:[{type:"elem",elem:l,marginRight:b}]},t)}var N=Nt(o,"right")||"mord";return st.makeSpan([N],[o,st.makeSpan(["msupsub"],[x])],t)},mathmlBuilder(e,t){var r=false;var a;var n;if(e.base&&e.base.type==="horizBrace"){n=!!e.sup;if(n===e.base.isOver){r=true;a=e.base.isOver}}!e.base||e.base.type!=="op"&&e.base.type!=="operatorname"||(e.base.parentIsSupSub=true);var i=[Lt(e.base,t)];e.sub&&i.push(Lt(e.sub,t));e.sup&&i.push(Lt(e.sup,t));var o;if(r)o=a?"mover":"munder";else if(e.sub)if(e.sup){var l=e.base;o=l&&l.type==="op"&&l.limits&&t.style===A.DISPLAY||l&&l.type==="operatorname"&&l.alwaysHandleSupSub&&(t.style===A.DISPLAY||l.limits)?"munderover":"msubsup"}else{var s=e.base;o=s&&s.type==="op"&&s.limits&&(t.style===A.DISPLAY||s.alwaysHandleSupSub)||s&&s.type==="operatorname"&&s.alwaysHandleSupSub&&(s.limits||t.style===A.DISPLAY)?"munder":"msub"}else{var m=e.base;o=m&&m.type==="op"&&m.limits&&(t.style===A.DISPLAY||m.alwaysHandleSupSub)||m&&m.type==="operatorname"&&m.alwaysHandleSupSub&&(m.limits||t.style===A.DISPLAY)?"mover":"msup"}return new Ct.MathNode(o,i)}});defineFunctionBuilders({type:"atom",htmlBuilder(e,t){return st.mathsym(e.text,e.mode,t,["m"+e.family])},mathmlBuilder(e,t){var r=new Ct.MathNode("mo",[qt(e.text,e.mode)]);if(e.family==="bin"){var a=Ft(e,t);a==="bold-italic"&&r.setAttribute("mathvariant",a)}

7else e.family==="punct"?r.setAttribute("separator","true"):e.family!=="open"&&e.family!=="close"||r.setAttribute("stretchy","false");return r}});var $r={mi:"italic",mn:"normal",mtext:"normal"};defineFunctionBuilders({type:"mathord",htmlBuilder(e,t){return st.makeOrd(e,t,"mathord")},mathmlBuilder(e,t){var r=new Ct.MathNode("mi",[qt(e.text,e.mode,t)]);var a=Ft(e,t)||"italic";a!==$r[r.type]&&r.setAttribute("mathvariant",a);return r}});defineFunctionBuilders({type:"textord",htmlBuilder(e,t){return st.makeOrd(e,t,"textord")},mathmlBuilder(e,t){var r=qt(e.text,e.mode,t);var a=Ft(e,t)||"normal";var n;n=e.mode==="text"?new Ct.MathNode("mtext",[r]):/[0-9]/.test(e.text)?new Ct.MathNode("mn",[r]):e.text==="\\prime"?new Ct.MathNode("mo",[r]):new Ct.MathNode("mi",[r]);a!==$r[n.type]&&n.setAttribute("mathvariant",a);return n}});var jr={"\\nobreak":"nobreak","\\allowbreak":"allowbreak"};var Zr={" ":{},"\\ ":{},"~":{className:"nobreak"},"\\space":{},"\\nobreakspace":{className:"nobreak"}};defineFunctionBuilders({type:"spacing",htmlBuilder(e,t){if(Zr.hasOwnProperty(e.text)){var r=Zr[e.text].className||"";if(e.mode==="text"){var a=st.makeOrd(e,t,"textord");a.classes.push(r);return a}return st.makeSpan(["mspace",r],[st.mathsym(e.text,e.mode,t)],t)}if(jr.hasOwnProperty(e.text))return st.makeSpan(["mspace",jr[e.text]],[],t);throw new ParseError('Unknown type of space "'+e.text+'"')},mathmlBuilder(e,t){var r;if(!Zr.hasOwnProperty(e.text)){if(jr.hasOwnProperty(e.text))return new Ct.MathNode("mspace");throw new ParseError('Unknown type of space "'+e.text+'"')}r=new Ct.MathNode("mtext",[new Ct.TextNode(" ")]);return r}});var pad=()=>{var e=new Ct.MathNode("mtd",[]);e.setAttribute("width","50%");return e};defineFunctionBuilders({type:"tag",mathmlBuilder(e,t){var r=new Ct.MathNode("mtable",[new Ct.MathNode("mtr",[pad(),new Ct.MathNode("mtd",[It(e.body,t)]),pad(),new Ct.MathNode("mtd",[It(e.tag,t)])])]);r.setAttribute("width","100%");return r}});var Kr={"\\text":void 0,"\\textrm":"textrm","\\textsf":"textsf","\\texttt":"texttt","\\textnormal":"textrm"};var Jr={"\\textbf":"textbf","\\textmd":"textmd"};var Qr={"\\textit":"textit","\\textup":"textup"};var optionsWithFont=(e,t)=>

7{var r=e.font;return r?Kr[r]?t.withTextFontFamily(Kr[r]):Jr[r]?t.withTextFontWeight(Jr[r]):r==="\\emph"?t.fontShape==="textit"?t.withTextFontShape("textup"):t.withTextFontShape("textit"):t.withTextFontShape(Qr[r]):t};defineFunction({type:"text",names:["\\text","\\textrm","\\textsf","\\texttt","\\textnormal","\\textbf","\\textmd","\\textit","\\textup","\\emph"],props:{numArgs:1,argTypes:["text"],allowedInArgument:true,allowedInText:true},handler(e,t){var{parser:r,funcName:a}=e;var n=t[0];return{type:"text",mode:r.mode,body:bt(n),font:a}},htmlBuilder(e,t){var r=optionsWithFont(e,t);var a=kt(e.body,r,true);return st.makeSpan(["mord","text"],a,r)},mathmlBuilder(e,t){var r=optionsWithFont(e,t);return It(e.body,r)}});defineFunction({type:"underline",names:["\\underline"],props:{numArgs:1,allowedInText:true},handler(e,t){var{parser:r}=e;return{type:"underline",mode:r.mode,body:t[0]}},htmlBuilder(e,t){var r=Et(e.body,t);var a=st.makeLineSpan("underline-line",t);var n=t.fontMetrics().defaultRuleThickness;var i=st.makeVList({positionType:"top",positionData:r.height,children:[{type:"kern",size:n},{type:"elem",elem:a},{type:"kern",size:3*n},{type:"elem",elem:r}]},t);return st.makeSpan(["mord","underline"],[i],t)},mathmlBuilder(e,t){var r=new Ct.MathNode("mo",[new Ct.TextNode("‾")]);r.setAttribute("stretchy","true");var a=new Ct.MathNode("munder",[Lt(e.body,t),r]);a.setAttribute("accentunder","true");return a}});defineFunction({type:"vcenter",names:["\\vcenter"],props:{numArgs:1,argTypes:["original"],allowedInText:false},handler(e,t){var{parser:r}=e;return{type:"vcenter",mode:r.mode,body:t[0]}},htmlBuilder(e,t){var r=Et(e.body,t);var a=t.fontMetrics().axisHeight;var n=.5*(r.height-a-(r.depth+a));return st.makeVList({positionType:"shift",positionData:n,children:[{type:"elem",elem:r}]},t)},mathmlBuilder(e,t){return new Ct.MathNode("mpadded",[Lt(e.body,t)],["vcenter"])}});defineFunction({type:"verb",names:["\\verb"],props:{numArgs:0,allowedInText:true},handler(e,t,r){throw new ParseError("\\verb ended by end of line instead of matching delimiter")},htmlBuilder(e,t){var r=makeVerb(e);var a=[];var n=t.havingStyle(t.style.text());for(var i=0;i<r.length;i++){var o=r[i];o==="~"&&(o="\\textasciitilde");a.push(st.makeSymbol(o,"Typewriter-Regular",e.mode,n,["mord","texttt"]))}return st.makeSpan(["mord","text"].concat(n.sizingClasses(t)),st.tryCombineChars(a),n)},mathmlBuilder(e,t){var r=new Ct.TextNode(makeVerb(e));var a=new Ct.MathNode("mtext",[r]);a.setAttribute("mathvariant","monospace");return a}});var makeVerb=e=>e.body.replace(/ /g,e.star?"␣":" ");var ea=pt;var ta="[ \r\n\t]";var ra="\\\\[a-zA-Z@]+";var aa="\\\\[^\ud800-\udfff]";var na="("+ra+")"+ta+"*";var ia="\\\\(\n|[ \r\t]+\n?)[ \r\t]*";var oa="[̀-ͯ]";var la=new RegExp(oa+"+$");var sa="("+ta+"+)|"+ia+"|([!-\\[\\]-‧‪-퟿豈-￿]"+oa+"*|[\ud800-\udbff][\udc00-\udfff]"+oa+"*|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5|"+na+"|"+aa+")";class Lexer{constructor(e,t){this.input=void 0;this.settings=void 0;this.tokenRegex=void 0;this.catcodes=void 0;this.input=e;this.settings=t;this.tokenRegex=new RegExp(sa,"g");this.catcodes={"%":14,"~":13}}

7setCatcode(e,t){this.catcodes[e]=t}lex(){var e=this.input;var t=this.tokenRegex.lastIndex;if(t===e.length)return new Token("EOF",new SourceLocation(this,t,t));var r=this.tokenRegex.exec(e);if(r===null||r.index!==t)throw new ParseError("Unexpected character: '"+e[t]+"'",new Token(e[t],new SourceLocation(this,t,t+1)));var a=r[6]||r[3]||(r[2]?"\\ ":" ");if(this.catcodes[a]===14){var n=e.indexOf("\n",this.tokenRegex.lastIndex);if(n===-1){this.tokenRegex.lastIndex=e.length;this.settings.reportNonstrict("commentAtEnd","% comment has no terminating newline; LaTeX would fail because of commenting the end of math mode (e.g. $)")}else this.tokenRegex.lastIndex=n+1;return this.lex()}return new Token(a,new SourceLocation(this,t,this.tokenRegex.lastIndex))}}class Namespace{constructor(e,t){e===void 0&&(e={});t===void 0&&(t={});this.current=void 0;this.builtins=void 0;this.undefStack=void 0;this.current=t;this.builtins=e;this.undefStack=[]}beginGroup(){this.undefStack.push({})}endGroup(){if(this.undefStack.length===0)throw new ParseError("Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug");var e=this.undefStack.pop();for(var t in e)e.hasOwnProperty(t)&&(e[t]==null?delete this.current[t]:this.current[t]=e[t])}endGroups(){while(this.undefStack.length>0)this.endGroup()}has(e){return this.current.hasOwnProperty(e)||this.builtins.hasOwnProperty(e)}get(e){return this.current.hasOwnProperty(e)?this.current[e]:this.builtins[e]}set(e,t,r){r===void 0&&(r=false);if(r){for(var a=0;a<this.undefStack.length;a++)delete this.undefStack[a][e];this.undefStack.length>0&&(this.undefStack[this.undefStack.length-1][e]=t)}else{var n=this.undefStack[this.undefStack.length-1];n&&!n.hasOwnProperty(e)&&(n[e]=this.current[e])}t==null?delete this.current[e]:this.current[e]=t}}var ma=qr;defineMacro("\\noexpand",(function(e){var t=e.popToken();if(e.isExpandable(t.text)){t.noexpand=true;t.treatAsRelax=true}return{tokens:[t],numArgs:0}}));defineMacro("\\expandafter",(function(e){var t=e.popToken();e.expandOnce(true);return{tokens:[t],numArgs:0}}));defineMacro("\\@firstoftwo",(function(e){var t=e.consumeArgs(2);return{tokens:t[0],numArgs:0}}));defineMacro("\\@secondoftwo",(function(e){var t=e.consumeArgs(2);return{tokens:t[1],numArgs:0}}));defineMacro("\\@ifnextchar",(function(e){var t=e.consumeArgs(3);e.consumeSpaces();var r=e.future();return t[0].length===1&&t[0][0].text===r.text?{tokens:t[1],numArgs:0}:{tokens:t[2],numArgs:0}}));defineMacro("\\@ifstar","\\@ifnextchar *{\\@firstoftwo{#1}}");defineMacro("\\TextOrMath",(function(e){var t=e.consumeArgs(2);return e.mode==="text"?{tokens:t[0],numArgs:0}:{tokens:t[1],numArgs:0}}));var da={0:0,1:1,2:2,3:3,4:4,5:5,6:6,7:7,8:8,9:9,a:10,A:10,b:11,B:11,c:12,C:12,d:13,D:13,e:14,E:14,f:15,F:15};defineMacro("\\char",(function(e){var t=e.popToken();var r;var a="";if(t.text==="'"){r=8;t=e.popToken()}else if(t.text==='"'){r=16;t=e.popToken()}else if(t.text==="`"){t=e.popToken();if(t.text[0]==="\\")a=t.text.charCodeAt(1);else{if(t.text==="EOF")throw new ParseError("\\char` missing argument");a=t.text.charCodeAt(0)}}else r=10;if(r){a=da[t.text];if(a==null||a>=r)throw new ParseError("Invalid base-"+r+" digit "+t.text);var n;while((n=da[e.future().text])!=null&&n<r){a*=r;a+=n;e.popToken()}}return"\\@char{"+a+"}"}));var newcommand=(e,t,r,a)=>{var n=e.consumeArg().tokens;if(n.length!==1)throw new ParseError("\\newcommand's first argument must be a macro name");var i=n[0].text;var o=e.isDefined(i);if(o&&!t)throw new ParseError("\\newcommand{"+i+"} attempting to redefine "+i+"; use \\renewcommand");if(!o&&!r)throw new ParseError("\\renewcommand{"+i+"} when command "+i+" does not yet exist; use \\newcommand");var l=0;n=e.consumeArg().tokens;if(n.length===1&&n[0].text==="["){var s="";var m=e.expandNextToken();while(m.text!=="]"&&m.text!=="EOF"){s+=m.text;m=e.expandNextToken()}if(!s.match(/^\s*[0-9]+\s*$/))throw new ParseError("Invalid number of arguments: "+s);l=parseInt(s);n=e.consumeArg().tokens}o&&a||e.macros.set(i,{tokens:n,numArgs:l});return""};defineMacro("\\newcommand",(e=>newcommand(e,false,true,false)));defineMacro("\\renewcommand",(e=>newcommand(e,true,false,false)));defineMacro("\\providecommand",(e=>newcommand(e,true,true,true)));defineMacro("\\message",(e=>{var t=e.consumeArgs(1)[0];console.log(t.reverse().map((e=>e.text)).join(""));return""}));defineMacro("\\errmessage",(e=>{var t=e.consumeArgs(1)[0];console.error(t.reverse().map((e=>e.text)).join(""));return""}));defineMacro("\\show",(e=>{var t=e.popToken();var r=t.text;console.log(t,e.macros.get(r),ea[r],se.math[r],se.text[r]);return""}));defineMacro("\\bgroup","{");defineMacro("\\egroup","}");

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7defineMacro("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+ua+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}");defineMacro("\\hspace","\\@ifstar\\@hspacer\\@hspace");defineMacro("\\@hspace","\\hskip #1\\relax");defineMacro("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax");defineMacro("\\ordinarycolon",":");defineMacro("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}");defineMacro("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}');defineMacro("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}');defineMacro("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}');defineMacro("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}');defineMacro("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}');defineMacro("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}');defineMacro("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}');defineMacro("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}');defineMacro("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}');defineMacro("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}');defineMacro("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}');defineMacro("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}');defineMacro("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}');defineMacro("∷","\\dblcolon");defineMacro("∹","\\eqcolon");defineMacro("≔","\\coloneqq");defineMacro("≕","\\eqqcolon");defineMacro("⩴","\\Coloneqq");defineMacro("\\ratio","\\vcentcolon");defineMacro("\\coloncolon","\\dblcolon");defineMacro("\\colonequals","\\coloneqq");defineMacro("\\coloncolonequals","\\Coloneqq");defineMacro("\\equalscolon","\\eqqcolon");defineMacro("\\equalscoloncolon","\\Eqqcolon");defineMacro("\\colonminus","\\coloneq");defineMacro("\\coloncolonminus","\\Coloneq");defineMacro("\\minuscolon","\\eqcolon");defineMacro("\\minuscoloncolon","\\Eqcolon");defineMacro("\\coloncolonapprox","\\Colonapprox");defineMacro("\\coloncolonsim","\\Colonsim");defineMacro("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");defineMacro("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");defineMacro("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");defineMacro("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}");defineMacro("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`∌}}");defineMacro("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}");defineMacro("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}");defineMacro("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}");defineMacro("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}");defineMacro("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}");defineMacro("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}");defineMacro("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}");defineMacro("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}");defineMacro("\\gvertneqq","\\html@mathml{\\@gvertneqq}{≩}");defineMacro("\\lvertneqq","\\html@mathml{\\@lvertneqq}{≨}");defineMacro("\\ngeqq","\\html@mathml{\\@ngeqq}{≱}");defineMacro("\\ngeqslant","\\html@mathml{\\@ngeqslant}{≱}");defineMacro("\\nleqq","\\html@mathml{\\@nleqq}{≰}");defineMacro("\\nleqslant","\\html@mathml{\\@nleqslant}{≰}");defineMacro("\\nshortmid","\\html@mathml{\\@nshortmid}{∤}");defineMacro("\\nshortparallel","\\html@mathml{\\@nshortparallel}{∦}");defineMacro("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{⊈}");defineMacro("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{⊉}");defineMacro("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{⊊}");defineMacro("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{⫋}");defineMacro("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{⊋}");defineMacro("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{⫌}");defineMacro("\\imath","\\html@mathml{\\@imath}{ı}");defineMacro("\\jmath","\\html@mathml{\\@jmath}{ȷ}");defineMacro("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}

7{\\mathopen{\\char`⟦}}");defineMacro("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`⟧}}");defineMacro("⟦","\\llbracket");defineMacro("⟧","\\rrbracket");defineMacro("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`⦃}}");defineMacro("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`⦄}}");defineMacro("⦃","\\lBrace");defineMacro("⦄","\\rBrace");defineMacro("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`⦵}}");defineMacro("⦵","\\minuso");defineMacro("\\darr","\\downarrow");defineMacro("\\dArr","\\Downarrow");defineMacro("\\Darr","\\Downarrow");defineMacro("\\lang","\\langle");defineMacro("\\rang","\\rangle");defineMacro("\\uarr","\\uparrow");defineMacro("\\uArr","\\Uparrow");defineMacro("\\Uarr","\\Uparrow");defineMacro("\\N","\\mathbb{N}");defineMacro("\\R","\\mathbb{R}");defineMacro("\\Z","\\mathbb{Z}");defineMacro("\\alef","\\aleph");defineMacro("\\alefsym","\\aleph");defineMacro("\\Alpha","\\mathrm{A}");defineMacro("\\Beta","\\mathrm{B}");defineMacro("\\bull","\\bullet");defineMacro("\\Chi","\\mathrm{X}");defineMacro("\\clubs","\\clubsuit");defineMacro("\\cnums","\\mathbb{C}");defineMacro("\\Complex","\\mathbb{C}");defineMacro("\\Dagger","\\ddagger");defineMacro("\\diamonds","\\diamondsuit");defineMacro("\\empty","\\emptyset");defineMacro("\\Epsilon","\\mathrm{E}");defineMacro("\\Eta","\\mathrm{H}");defineMacro("\\exist","\\exists");defineMacro("\\harr","\\leftrightarrow");defineMacro("\\hArr","\\Leftrightarrow");defineMacro("\\Harr","\\Leftrightarrow");defineMacro("\\hearts","\\heartsuit");defineMacro("\\image","\\Im");defineMacro("\\infin","\\infty");defineMacro("\\Iota","\\mathrm{I}");defineMacro("\\isin","\\in");defineMacro("\\Kappa","\\mathrm{K}");defineMacro("\\larr","\\leftarrow");defineMacro("\\lArr","\\Leftarrow");defineMacro("\\Larr","\\Leftarrow");defineMacro("\\lrarr","\\leftrightarrow");defineMacro("\\lrArr","\\Leftrightarrow");defineMacro("\\Lrarr","\\Leftrightarrow");defineMacro("\\Mu","\\mathrm{M}");defineMacro("\\natnums","\\mathbb{N}");defineMacro("\\Nu","\\mathrm{N}");defineMacro("\\Omicron","\\mathrm{O}");defineMacro("\\plusmn","\\pm");defineMacro("\\rarr","\\rightarrow");defineMacro("\\rArr","\\Rightarrow");defineMacro("\\Rarr","\\Rightarrow");defineMacro("\\real","\\Re");defineMacro("\\reals","\\mathbb{R}");defineMacro("\\Reals","\\mathbb{R}");defineMacro("\\Rho","\\mathrm{P}");defineMacro("\\sdot","\\cdot");defineMacro("\\sect","\\S");defineMacro("\\spades","\\spadesuit");defineMacro("\\sub","\\subset");defineMacro("\\sube","\\subseteq");defineMacro("\\supe","\\supseteq");defineMacro("\\Tau","\\mathrm{T}");defineMacro("\\thetasym","\\vartheta");defineMacro("\\weierp","\\wp");defineMacro("\\Zeta","\\mathrm{Z}");defineMacro("\\argmin","\\DOTSB\\operatorname*{arg\\,min}");defineMacro("\\argmax","\\DOTSB\\operatorname*{arg\\,max}");defineMacro("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits");defineMacro("\\bra","\\mathinner{\\langle{#1}|}");defineMacro("\\ket","\\mathinner{|{#1}\\rangle}");defineMacro("\\braket","\\mathinner{\\langle{#1}\\rangle}");defineMacro("\\Bra","\\left\\langle#1\\right|");defineMacro("\\Ket","\\left|#1\\right\\rangle");var braketHelper=e=>t=>{var r=t.consumeArg().tokens;var a=t.consumeArg().tokens;var n=t.consumeArg().tokens;var i=t.consumeArg().tokens;var o=t.macros.get("|");var l=t.macros.get("\\|");t.macros.beginGroup();var midMacro=t=>r=>{if(e){r.macros.set("|",o);n.length&&r.macros.set("\\|",l)}var i=t;if(!t&&n.length){var s=r.future();if(s.text==="|"){r.popToken();i=true}}return{tokens:i?n:a,numArgs:0}};t.macros.set("|",midMacro(false));n.length&&t.macros.set("\\|",midMacro(true));var s=t.consumeArg().tokens;var m=t.expandTokens([...i,...s,...r]);t.macros.endGroup();return{tokens:m.reverse(),numArgs:0}};defineMacro("\\bra@ket",braketHelper(false));defineMacro("\\bra@set",braketHelper(true));defineMacro("\\Braket","\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}");defineMacro("\\Set","\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}");defineMacro("\\set","\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}");defineMacro("\\angln","{\\angl n}");defineMacro("\\blue","\\textcolor{##6495ed}{#1}");defineMacro("\\orange","\\textcolor{##ffa500}{#1}");defineMacro("\\pink","\\textcolor{##ff00af}{#1}");defineMacro("\\red","\\textcolor{##df0030}{#1}");defineMacro("\\green","\\textcolor{##28ae7b}{#1}");defineMacro("\\gray","\\textcolor{gray}{#1}");defineMacro("\\purple","\\textcolor{##9d38bd}{#1}");defineMacro("\\blueA","\\textcolor{##ccfaff}{#1}");defineMacro("\\blueB","\\textcolor{##80f6ff}{#1}");defineMacro("\\blueC","\\textcolor{##63d9ea}{#1}");defineMacro("\\blueD","\\textcolor{##11accd}{#1}");defineMacro("\\blueE","\\textcolor{##0c7f99}{#1}");defineMacro("\\tealA","\\textcolor{##94fff5}{#1}");defineMacro("\\tealB","\\textcolor{##26edd5}{#1}");defineMacro("\\tealC","\\textcolor{##01d1c1}{#1}");defineMacro("\\tealD","\\textcolor{##01a995}{#1}");defineMacro("\\tealE","\\textcolor{##208170}{#1}");defineMacro("\\greenA","\\textcolor{##b6ffb0}{#1}");

7defineMacro("\\greenB","\\textcolor{##8af281}{#1}");defineMacro("\\greenC","\\textcolor{##74cf70}{#1}");defineMacro("\\greenD","\\textcolor{##1fab54}{#1}");defineMacro("\\greenE","\\textcolor{##0d923f}{#1}");defineMacro("\\goldA","\\textcolor{##ffd0a9}{#1}");defineMacro("\\goldB","\\textcolor{##ffbb71}{#1}");defineMacro("\\goldC","\\textcolor{##ff9c39}{#1}");defineMacro("\\goldD","\\textcolor{##e07d10}{#1}");defineMacro("\\goldE","\\textcolor{##a75a05}{#1}");defineMacro("\\redA","\\textcolor{##fca9a9}{#1}");defineMacro("\\redB","\\textcolor{##ff8482}{#1}");defineMacro("\\redC","\\textcolor{##f9685d}{#1}");defineMacro("\\redD","\\textcolor{##e84d39}{#1}");defineMacro("\\redE","\\textcolor{##bc2612}{#1}");defineMacro("\\maroonA","\\textcolor{##ffbde0}{#1}");defineMacro("\\maroonB","\\textcolor{##ff92c6}{#1}");defineMacro("\\maroonC","\\textcolor{##ed5fa6}{#1}");defineMacro("\\maroonD","\\textcolor{##ca337c}{#1}");defineMacro("\\maroonE","\\textcolor{##9e034e}{#1}");defineMacro("\\purpleA","\\textcolor{##ddd7ff}{#1}");defineMacro("\\purpleB","\\textcolor{##c6b9fc}{#1}");defineMacro("\\purpleC","\\textcolor{##aa87ff}{#1}");defineMacro("\\purpleD","\\textcolor{##7854ab}{#1}");defineMacro("\\purpleE","\\textcolor{##543b78}{#1}");defineMacro("\\mintA","\\textcolor{##f5f9e8}{#1}");defineMacro("\\mintB","\\textcolor{##edf2df}{#1}");defineMacro("\\mintC","\\textcolor{##e0e5cc}{#1}");defineMacro("\\grayA","\\textcolor{##f6f7f7}{#1}");defineMacro("\\grayB","\\textcolor{##f0f1f2}{#1}");defineMacro("\\grayC","\\textcolor{##e3e5e6}{#1}");defineMacro("\\grayD","\\textcolor{##d6d8da}{#1}");defineMacro("\\grayE","\\textcolor{##babec2}{#1}");defineMacro("\\grayF","\\textcolor{##888d93}{#1}");defineMacro("\\grayG","\\textcolor{##626569}{#1}");defineMacro("\\grayH","\\textcolor{##3b3e40}{#1}");defineMacro("\\grayI","\\textcolor{##21242c}{#1}");defineMacro("\\kaBlue","\\textcolor{##314453}{#1}");defineMacro("\\kaGreen","\\textcolor{##71B307}{#1}");var pa={"^":true,_:true,"\\limits":true,"\\nolimits":true};class MacroExpander{constructor(e,t,r){this.settings=void 0;this.expansionCount=void 0;this.lexer=void 0;this.macros=void 0;this.stack=void 0;this.mode=void 0;this.settings=t;this.expansionCount=0;this.feed(e);this.macros=new Namespace(ma,t.macros);this.mode=r;this.stack=[]}feed(e){this.lexer=new Lexer(e,this.settings)}switchMode(e){this.mode=e}beginGroup(){this.macros.beginGroup()}endGroup(){this.macros.endGroup()}endGroups(){this.macros.endGroups()}future(){this.stack.length===0&&this.pushToken(this.lexer.lex());return this.stack[this.stack.length-1]}popToken(){this.future();return this.stack.pop()}pushToken(e){this.stack.push(e)}pushTokens(e){this.stack.push(...e)}scanArgument(e){var t;var r;var a;if(e){this.consumeSpaces();if(this.future().text!=="[")return null;t=this.popToken();({tokens:a,end:r}=this.consumeArg(["]"]))}else({tokens:a,start:t,end:r}=this.consumeArg());this.pushToken(new Token("EOF",r.loc));this.pushTokens(a);return t.range(r,"")}consumeSpaces(){for(;;){var e=this.future();if(e.text!==" ")break;this.stack.pop()}}consumeArg(e){var t=[];var r=e&&e.length>0;r||this.consumeSpaces();var a=this.future();var n;var i=0;var o=0;do{n=this.popToken();t.push(n);if(n.text==="{")++i;else if(n.text==="}"){--i;if(i===-1)throw new ParseError("Extra }",n)}else if(n.text==="EOF")throw new ParseError("Unexpected end of input in a macro argument, expected '"+(e&&r?e[o]:"}")+"'",n);if(e&&r)if((i===0||i===1&&e[o]==="{")&&n.text===e[o]){++o;if(o===e.length){t.splice(-o,o);break}}else o=0}while(i!==0||r);if(a.text==="{"&&t[t.length-1].text==="}"){t.pop();t.shift()}t.reverse();return{tokens:t,start:a,end:n}}consumeArgs(e,t){if(t){if(t.length!==e+1)throw new ParseError("The length of delimiters doesn't match the number of args!");var r=t[0];for(var a=0;a<r.length;a++){var n=this.popToken();if(r[a]!==n.text)throw new ParseError("Use of the macro doesn't match its definition",n)}}var i=[];for(var o=0;o<e;o++)i.push(this.consumeArg(t&&t[o+1]).tokens);return i}countExpansion(e){this.expansionCount+=e;if(this.expansionCount>this.settings.maxExpand)throw new ParseError("Too many expansions: infinite loop or need to increase maxExpand setting")}expandOnce(e){var t=this.popToken();var r=t.text;var a=t.noexpand?null:this._getExpansion(r);if(a==null||e&&a.unexpandable){if(e&&a==null&&r[0]==="\\"&&!this.isDefined(r))throw new ParseError("Undefined control sequence: "+r);this.pushToken(t);return false}this.countExpansion(1);var n=a.tokens;var i=this.consumeArgs(a.numArgs,a.delimiters);if(a.numArgs){n=n.slice();for(var o=n.length-1;o>=0;--o){var l=n[o];if(l.text==="#"){if(o===0)throw new ParseError("Incomplete placeholder at end of macro body",l);l=n[--o];if(l.text==="#")n.splice(o+1,1);else{if(!/^[1-9]$/.test(l.text))throw new ParseError("Not a valid argument number",l);n.splice(o,2,...i[+l.text-1])}}}}this.pushTokens(n);return n.length}expandAfterFuture(){this.expandOnce();return this.future()}expandNextToken(){for(;;)if(this.expandOnce()===false){var e=this.stack.pop();e.treatAsRelax&&(e.text="\\relax");return e}throw new Error}expandMacro(e){return this.macros.has(e)?this.expandTokens([new Token(e)]):void 0}expandTokens(e){var t=[];var r=this.stack.length;this.pushTokens(e);while(this.stack.length>r)if(this.expandOnce(true)===false){var a=this.stack.pop();if(a.treatAsRelax){a.noexpand=false;a.treatAsRelax=false}t.push(a)}this.countExpansion(t.length);return t}expandMacroAsText(e){var t=this.expandMacro(e);return t?t.map((e=>e.text)).join(""):t}_getExpansion(e){var t=this.macros.get(e);if(t==null)return t;if(e.length===1){var r=this.lexer.catcodes[e];if(r!=null&&r!==13)return}var a=typeof t==="function"?t(this):t;if(typeof a==="string"){var n=0;if(a.indexOf("#")!==-1){var i=a.replace(/##/g,"");while(i.indexOf("#"+(n+1))!==-1)++n}var o=new Lexer(a,this.settings);var l=[];var s=o.lex();while(s.text!=="EOF"){l.push(s);s=o.lex()}l.reverse();var m={tokens:l,numArgs:n};return m}return a}isDefined(e){return this.macros.has(e)||ea.hasOwnProperty(e)||se.math.hasOwnProperty(e)||se.text.hasOwnProperty(e)||pa.hasOwnProperty(e)}isExpandable(e){var t=this.macros.get(e);return t!=null?typeof t==="string"||typeof t==="function"||!t.unexpandable:ea.hasOwnProperty(e)&&!ea[e].primitive}}var fa=/^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/;var va=Object.freeze({"₊":"+","₋":"-","₌":"=","₍":"(","₎":")","₀":"0","₁":"1","₂":"2","₃":"3","₄":"4","₅":"5","₆":"6","₇":"7","₈":"8","₉":"9","ₐ":"a","â

7‚‘":"e","ₕ":"h","áµ¢":"i","â±¼":"j","ₖ":"k","ₗ":"l","ₘ":"m","ₙ":"n","ₒ":"o","ₚ":"p","áµ£":"r","ₛ":"s","ₜ":"t","ᵤ":"u","áµ¥":"v","ₓ":"x","ᵦ":"β","ᵧ":"γ","ᵨ":"ρ","ᵩ":"ϕ","ᵪ":"χ","⁺":"+","⁻":"-","⁼":"=","⁽":"(","⁾":")","⁰":"0","¹":"1","²":"2","³":"3","⁴":"4","⁵":"5","⁶":"6","⁷":"7","⁸":"8","⁹":"9","á´¬":"A","á´®":"B","á´°":"D","á´±":"E","á´³":"G","á´´":"H","á´µ":"I","á´¶":"J","á´·":"K","á´¸":"L","á´¹":"M","á´º":"N","á´¼":"O","á´¾":"P","á´¿":"R","ᵀ":"T","ᵁ":"U","â±½":"V","ᵂ":"W","ᵃ":"a","ᵇ":"b","ᶜ":"c","ᵈ":"d","ᵉ":"e","ᶠ":"f","ᵍ":"g","Ê°":"h","ⁱ":"i","ʲ":"j","ᵏ":"k","Ë¡":"l","ᵐ":"m","ⁿ":"n","ᵒ":"o","ᵖ":"p","ʳ":"r","Ë¢":"s","ᵗ":"t","ᵘ":"u","ᵛ":"v","Ê·":"w","Ë£":"x","ʸ":"y","ᶻ":"z","ᵝ":"β","ᵞ":"γ","ᵟ":"δ","áµ ":"ϕ","ᵡ":"χ","ᶿ":"θ"});var ga={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"},"̧":{text:"\\c"}};var ba={"á":"á","à":"à","ä":"ä","ǟ":"ǟ","ã":"ã","ā":"ā","ă":"ă","ắ":"ắ","ằ":"ằ","ẵ":"ẵ","ǎ":"ǎ","â":"â","ấ":"ấ","ầ":"ầ","ẫ":"ẫ","ȧ":"ȧ","Ç¡":"ǡ","Ã¥":"å","Ç»":"ǻ","ḃ":"ḃ","ć":"ć","ḉ":"ḉ","č":"č","ĉ":"ĉ","ċ":"ċ","ç":"ç","ď":"ď","ḋ":"ḋ","ḑ":"ḑ","é":"é","è":"è","ë":"ë","ẽ":"ẽ","ē":"ē","ḗ":"ḗ","ḕ":"ḕ","ĕ":"ĕ","ḝ":"ḝ","ě":"ě","ê":"ê","ế":"ế","ề":"ề","ễ":"ễ","ė":"ė","È©":"ȩ","ḟ":"ḟ","ǵ":"ǵ","ḡ":"ḡ","ğ":"ğ","ǧ":"ǧ","ĝ":"ĝ","Ä¡":"ġ","Ä£":"ģ","ḧ":"ḧ","ȟ":"ȟ","Ä¥":"ĥ","ḣ":"ḣ","ḩ":"ḩ","í":"í","ì":"ì","ï":"ï","ḯ":"ḯ","Ä©":"ĩ","Ä«":"ī","Ä­":"ĭ","ǐ":"ǐ","î":"î","Ç°":"ǰ","ĵ":"ĵ","ḱ":"ḱ","Ç©":"ǩ","Ä·":"ķ","ĺ":"ĺ","ľ":"ľ","ļ":"ļ","ḿ":"ḿ","ṁ":"ṁ","ń":"ń","ǹ":"ǹ","ñ":"ñ","ň":"ň","ṅ":"ṅ","ņ":"ņ","ó":"ó","ò":"ò","ö":"ö","È«":"ȫ","õ":"õ","ṍ":"ṍ","ṏ":"ṏ","È­":"ȭ","ō":"ō","ṓ":"ṓ","ṑ":"ṑ","ŏ":"ŏ","ǒ":"ǒ","ô":"ô","ố":"ố","ồ":"ồ","ỗ":"ỗ","ȯ":"ȯ","ȱ":"ȱ","ő":"ő","ṕ":"ṕ","ṗ":"ṗ","ŕ":"ŕ","ř":"ř","ṙ":"ṙ","ŗ":"ŗ","ś":"ś","á¹¥":"ṥ","Å¡":"š","ṧ":"ṧ","ŝ":"ŝ","ṡ":"ṡ","ş":"ş","ẗ":"ẗ","Å¥":"ť","ṫ":"ṫ","Å£":"ţ","ú":"ú","ù":"ù","ü":"ü","ǘ":"ǘ","ǜ":"ǜ","ǖ":"ǖ","ǚ":"ǚ","Å©":"ũ","á¹¹":"ṹ","Å«":"ū","á¹»":"ṻ","Å­":"ŭ","ǔ":"ǔ","û":"û","ů":"ů","ű":"ű","á¹½":"ṽ","ẃ":"ẃ","ẁ":"ẁ","ẅ":"ẅ","ŵ":"ŵ","ẇ":"ẇ","ẘ":"ẘ","ẍ":"ẍ","ẋ":"ẋ","ý":"ý","ỳ":"ỳ","ÿ":"ÿ","ỹ":"ỹ","ȳ":"ȳ","Å·":"ŷ","ẏ":"ẏ","ẙ":"ẙ","ź":"ź","ž":"ž","ẑ":"ẑ","ż":"ż","Á":"Á","À":"À","Ä":"Ä","Ǟ":"Ǟ","Ã":"Ã","Ā":"Ā","Ă":"Ă","Ắ":"Ắ","Ằ":"Ằ","Ẵ":"Ẵ","Ǎ":"Ǎ","Â":"Â","Ấ":"Ấ","Ầ":"Ầ","Ẫ":"Ẫ","Ȧ":"Ȧ","Ç ":"Ǡ","Å":"Å","Ǻ":"Ǻ","Ḃ":"Ḃ","Ć":"Ć","Ḉ":"Ḉ","Č":"Č","Ĉ":"Ĉ","Ċ":"Ċ","Ç":"Ç","Ď":"Ď","Ḋ":"Ḋ","Ḑ":"Ḑ","É":"É","È":"È","Ë":"Ë","Ẽ":"Ẽ","Ē":"Ē","Ḗ":"Ḗ","Ḕ":"Ḕ","Ĕ":"Ĕ","Ḝ":"Ḝ","Ě":"Ě","Ê":"Ê","Ế":"Ế","Ề":"Ề","Ễ":"Ễ","Ė":"Ė","Ȩ":"Ȩ","Ḟ":"Ḟ","Ç´":"Ǵ","Ḡ":"Ḡ","Ğ":"Ğ","Ǧ":"Ǧ","Ĝ":"Ĝ","Ä ":"Ġ","Ä¢":"Ģ","Ḧ":"Ḧ","Ȟ":"Ȟ","Ĥ":"Ĥ","Ḣ":"Ḣ","Ḩ":"Ḩ","Í":"Í","Ì":"Ì","Ï":"Ï","Ḯ":"Ḯ","Ĩ":"Ĩ","Ī":"Ī","Ĭ":"Ĭ","Ǐ":"Ǐ","Î":"Î","Ä°":"İ","Ä´":"Ĵ","Ḱ":"Ḱ","Ǩ":"Ǩ","Ķ":"Ķ","Ĺ":"Ĺ","Ľ":"Ľ","Ä»":"Ļ","Ḿ":"Ḿ","Ṁ":"Ṁ","Ń":"Ń","Ǹ":"Ǹ","Ñ":"Ñ","Ň":"Ň","Ṅ":"Ṅ","Ņ":"Ņ","Ó":"Ó","Ò":"Ò","Ö":"Ö","Ȫ":"Ȫ","Õ":"Õ","Ṍ":"Ṍ","Ṏ":"Ṏ","Ȭ":"Ȭ","Ō":"Ō","Ṓ":"Ṓ","Ṑ":"Ṑ","Ŏ":"Ŏ","Ǒ":"Ǒ","Ô":"Ô","Ố":"Ố","Ồ":"Ồ","Ỗ":"Ỗ","È®":"Ȯ","È°":"Ȱ","Ő":"Ő","Ṕ":"Ṕ","Ṗ":"Ṗ","Ŕ":"Ŕ","Ř":"Ř","Ṙ":"Ṙ","Ŗ":"Ŗ","Ś":"Ś","Ṥ":"Ṥ","Å ":"Š","Ṧ":"Ṧ","Ŝ":"Ŝ","á¹ ":"Ṡ","Ş":"Ş","Ť":"Ť","Ṫ":"Ṫ","Å¢":"TÌ

7§","Ú":"Ú","Ù":"Ù","Ü":"Ü","Ǘ":"Ǘ","Ǜ":"Ǜ","Ǖ":"Ǖ","Ǚ":"Ǚ","Ũ":"Ũ","Ṹ":"Ṹ","Ū":"Ū","Ṻ":"Ṻ","Ŭ":"Ŭ","Ǔ":"Ǔ","Û":"Û","Å®":"Ů","Å°":"Ű","á¹¼":"Ṽ","Ẃ":"Ẃ","Ẁ":"Ẁ","Ẅ":"Ẅ","Å´":"Ŵ","Ẇ":"Ẇ","Ẍ":"Ẍ","Ẋ":"Ẋ","Ý":"Ý","Ỳ":"Ỳ","Ÿ":"Ÿ","Ỹ":"Ỹ","Ȳ":"Ȳ","Ŷ":"Ŷ","Ẏ":"Ẏ","Ź":"Ź","Ž":"Ž","Ẑ":"Ẑ","Å»":"Ż","ά":"ά","á½°":"ὰ","á¾±":"ᾱ","á¾°":"ᾰ","έ":"έ","á½²":"ὲ","ή":"ή","á½´":"ὴ","ί":"ί","ὶ":"ὶ","ϊ":"ϊ","ΐ":"ΐ","ῒ":"ῒ","ῑ":"ῑ","ῐ":"ῐ","ό":"ό","ὸ":"ὸ","ύ":"ύ","ὺ":"ὺ","ϋ":"ϋ","ΰ":"ΰ","á¿¢":"ῢ","á¿¡":"ῡ","á¿ ":"ῠ","ώ":"ώ","á½¼":"ὼ","Ύ":"Ύ","Ὺ":"Ὺ","Ϋ":"Ϋ","á¿©":"Ῡ","Ῠ":"Ῠ","Ώ":"Ώ","Ὼ":"Ὼ"};class Parser{constructor(e,t){this.mode=void 0;this.gullet=void 0;this.settings=void 0;this.leftrightDepth=void 0;this.nextToken=void 0;this.mode="math";this.gullet=new MacroExpander(e,t,this.mode);this.settings=t;this.leftrightDepth=0}expect(e,t){t===void 0&&(t=true);if(this.fetch().text!==e)throw new ParseError("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()}consume(){this.nextToken=null}fetch(){this.nextToken==null&&(this.nextToken=this.gullet.expandNextToken());return this.nextToken}switchMode(e){this.mode=e;this.gullet.switchMode(e)}parse(){this.settings.globalGroup||this.gullet.beginGroup();this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(false);this.expect("EOF");this.settings.globalGroup||this.gullet.endGroup();return e}finally{this.gullet.endGroups()}}subparse(e){var t=this.nextToken;this.consume();this.gullet.pushToken(new Token("}"));this.gullet.pushTokens(e);var r=this.parseExpression(false);this.expect("}");this.nextToken=t;return r}parseExpression(e,t){var r=[];while(true){this.mode==="math"&&this.consumeSpaces();var a=this.fetch();if(Parser.endOfExpression.indexOf(a.text)!==-1)break;if(t&&a.text===t)break;if(e&&ea[a.text]&&ea[a.text].infix)break;var n=this.parseAtom(t);if(!n)break;n.type!=="internal"&&r.push(n)}this.mode==="text"&&this.formLigatures(r);return this.handleInfixNodes(r)}handleInfixNodes(e){var t=-1;var r;for(var a=0;a<e.length;a++)if(e[a].type==="infix"){if(t!==-1)throw new ParseError("only one infix operator per group",e[a].token);t=a;r=e[a].replaceWith}if(t!==-1&&r){var n;var i;var o=e.slice(0,t);var l=e.slice(t+1);n=o.length===1&&o[0].type==="ordgroup"?o[0]:{type:"ordgroup",mode:this.mode,body:o};i=l.length===1&&l[0].type==="ordgroup"?l[0]:{type:"ordgroup",mode:this.mode,body:l};var s;s=r==="\\\\abovefrac"?this.callFunction(r,[n,e[t],i],[]):this.callFunction(r,[n,i],[]);return[s]}return e}handleSupSubscript(e){var t=this.fetch();var r=t.text;this.consume();this.consumeSpaces();var a=this.parseGroup(e);if(!a)throw new ParseError("Expected group after '"+r+"'",t);return a}formatUnsupportedCmd(e){var t=[];for(var r=0;r<e.length;r++)t.push({type:"textord",mode:"text",text:e[r]});var a={type:"text",mode:this.mode,body:t};var n={type:"color",mode:this.mode,color:this.settings.errorColor,body:[a]};return n}parseAtom(e){var t=this.parseGroup("atom",e);if(this.mode==="text")return t;var r;var a;while(true){this.consumeSpaces();var n=this.fetch();if(n.text==="\\limits"||n.text==="\\nolimits"){if(t&&t.type==="op"){var i=n.text==="\\limits";t.limits=i;t.alwaysHandleSupSub=true}else{if(!t||t.type!=="operatorname")throw new ParseError("Limit controls must follow a math operator",n);t.alwaysHandleSupSub&&(t.limits=n.text==="\\limits")}this.consume()}else if(n.text==="^"){if(r)throw new ParseError("Double superscript",n);r=this.handleSupSubscript("superscript")}else if(n.text==="_"){if(a)throw new ParseError("Double subscript",n);a=this.handleSupSubscript("subscript")}else if(n.text==="'"){if(r)throw new ParseError("Double superscript",n);var o={type:"textord",mode:this.mode,text:"\\prime"};var l=[o];this.consume();while(this.fetch().text==="'"){l.push(o);this.consume()}this.fetch().text==="^"&&l.push(this.handleSupSubscript("superscript"));r={type:"ordgroup",mode:this.mode,body:l}}else{if(!va[n.text])break;var s=fa.test(n.text);var m=[];m.push(new Token(va[n.text]));this.consume();while(true){var d=this.fetch().text;if(!va[d])break;if(fa.test(d)!==s)break;m.unshift(new Token(va[d]));this.consume()}var h=this.subparse(m);s?a={type:"ordgroup",mode:"math",body:h}:r={type:"ordgroup",mode:"math",body:h}}}return r||a?{type:"supsub",mode:this.mode,base:t,sup:r,sub:a}:t}parseFunction(e,t){var r=this.fetch();var a=r.text;var n=ea[a];if(!n)return null;this.consume();if(t&&t!=="atom"&&!n.allowedInArgument)throw new ParseError("Got function '"+a+"' with no arguments"+(t?" as "+t:""),r);if(this.mode==="text"&&!n.allowedInText)throw new ParseError("Can't use function '"+a+"' in text mode",r);if(this.mode==="math"&&n.allowedInMath===false)throw new ParseError("Can't use function '"+a+"' in math mode",r);var{args:i,optArgs:o}=this.parseArguments(a,n);return this.callFunction(a,i,o,r,e)}callFunction(e,t,r,a,n){var i={funcName:e,parser:this,token:a,breakOnTokenText:n};var o=ea[e];if(o&&o.handler)return o.handler(i,t,r);throw new ParseError("No function handler for "+e)}parseArguments(e,t){var r=t.numArgs+t.numOptionalArgs;if(r===0)return{args:[],optArgs:[]};var a=[];var n=[];for(var i=0;i<r;i++){var o=t.argTypes&&t.argTypes[i];var l=i<t.numOptionalArgs;(t.primitive&&o==null||t.type==="sqrt"&&i===1&&n[0]==null)&&(o="primitive");var s=this.parseGroupOfType("argument to '"+e+"'",o,l);if(l)n.push(s);else{if(s==null)throw new ParseError("Null argument, please report this as a bug");a.push(s)}}return{args:a,optArgs:n}}parseGroupOfType(e,t,r){switch(t){case"color":return this.parseColorGroup(r);case"size":return this.parseSizeGroup(r);case"url":return this.parseUrlGroup(r);case"math":case"text":return this.parseArgumentGroup(r,t);case"hbox":var a=this.parseArgumentGroup(r,"text");return a!=null?{type:"styling",mode:a.mode,body:[a],style:"text"}:null;case"raw":var n=this.parseStringGroup("raw",r);return n!=null?{type:"raw",mode:"text",string:n.text}:null;case"primitive":if(r)throw new ParseError("A primitive argument cannot be optional");var i=this.parseGroup(e);if(i==null)throw new ParseError("Expected group as "+e,this.fetch());return i;case"original":case null:case void 0:return this.parseArgumentGroup(r);default:throw new ParseError("Unknown group type as "+e,this.fetch())}}consumeSpaces(){while(this.fetch().text===" ")this.consume()}parseStringGroup(e,t){var r=this.gullet.scanArgument(t);if(r==null)return null;var a="";var n;while((n=this.fetch()).text!=="EOF"){a+=n.text;this.consume()}this.consume();r.text=a;return r}parseRegexGroup(e,t){var r=this.fetch();var a=r;var n="";var i;while((i=this.fetch()).text!=="EOF"&&e.test(n+i.text)){a=i;n+=a.text;this.consume()}

7if(n==="")throw new ParseError("Invalid "+t+": '"+r.text+"'",r);return r.range(a,n)}parseColorGroup(e){var t=this.parseStringGroup("color",e);if(t==null)return null;var r=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!r)throw new ParseError("Invalid color: '"+t.text+"'",t);var a=r[0];/^[0-9a-f]{6}$/i.test(a)&&(a="#"+a);return{type:"color-token",mode:this.mode,color:a}}parseSizeGroup(e){var t;var r=false;this.gullet.consumeSpaces();t=e||this.gullet.future().text==="{"?this.parseStringGroup("size",e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size");if(!t)return null;if(!e&&t.text.length===0){t.text="0pt";r=true}var a=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!a)throw new ParseError("Invalid size: '"+t.text+"'",t);var n={number:+(a[1]+a[2]),unit:a[3]};if(!K(n))throw new ParseError("Invalid unit: '"+n.unit+"'",t);return{type:"size",mode:this.mode,value:n,isBlank:r}}parseUrlGroup(e){this.gullet.lexer.setCatcode("%",13);this.gullet.lexer.setCatcode("~",12);var t=this.parseStringGroup("url",e);this.gullet.lexer.setCatcode("%",14);this.gullet.lexer.setCatcode("~",13);if(t==null)return null;var r=t.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:r}}parseArgumentGroup(e,t){var r=this.gullet.scanArgument(e);if(r==null)return null;var a=this.mode;t&&this.switchMode(t);this.gullet.beginGroup();var n=this.parseExpression(false,"EOF");this.expect("EOF");this.gullet.endGroup();var i={type:"ordgroup",mode:this.mode,loc:r.loc,body:n};t&&this.switchMode(a);return i}parseGroup(e,t){var r=this.fetch();var a=r.text;var n;if(a==="{"||a==="\\begingroup"){this.consume();var i=a==="{"?"}":"\\endgroup";this.gullet.beginGroup();var o=this.parseExpression(false,i);var l=this.fetch();this.expect(i);this.gullet.endGroup();n={type:"ordgroup",mode:this.mode,loc:SourceLocation.range(r,l),body:o,semisimple:a==="\\begingroup"||void 0}}else{n=this.parseFunction(t,e)||this.parseSymbol();if(n==null&&a[0]==="\\"&&!pa.hasOwnProperty(a)){if(this.settings.throwOnError)throw new ParseError("Undefined control sequence: "+a,r);n=this.formatUnsupportedCmd(a);this.consume()}}return n}formLigatures(e){var t=e.length-1;for(var r=0;r<t;++r){var a=e[r];var n=a.text;if(n==="-"&&e[r+1].text==="-")if(r+1<t&&e[r+2].text==="-"){e.splice(r,3,{type:"textord",mode:"text",loc:SourceLocation.range(a,e[r+2]),text:"---"});t-=2}else{e.splice(r,2,{type:"textord",mode:"text",loc:SourceLocation.range(a,e[r+1]),text:"--"});t-=1}if((n==="'"||n==="`")&&e[r+1].text===n){e.splice(r,2,{type:"textord",mode:"text",loc:SourceLocation.range(a,e[r+1]),text:n+n});t-=1}}}parseSymbol(){var e=this.fetch();var t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();var r=t.slice(5);var a=r.charAt(0)==="*";a&&(r=r.slice(1));if(r.length<2||r.charAt(0)!==r.slice(-1))throw new ParseError("\\verb assertion failed --\n                    please report what input caused this bug");r=r.slice(1,-1);return{type:"verb",mode:"text",body:r,star:a}}if(ba.hasOwnProperty(t[0])&&!se[this.mode][t[0]]){this.settings.strict&&this.mode==="math"&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+t[0]+'" used in math mode',e);t=ba[t[0]]+t.slice(1)}var n=la.exec(t);if(n){t=t.substring(0,n.index);t==="i"?t="ı":t==="j"&&(t="ȷ")}var i;if(se[this.mode][t]){this.settings.strict&&this.mode==="math"&&Oe.indexOf(t)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var o=se[this.mode][t].group;var l=SourceLocation.range(e);var s;if(oe.hasOwnProperty(o)){var m=o;s={type:"atom",mode:this.mode,family:m,loc:l,text:t}}else s={type:o,mode:this.mode,loc:l,text:t};i=s}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(supportedCodepoint(t.charCodeAt(0))?this.mode==="math"&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e));i={type:"textord",mode:"text",loc:SourceLocation.range(e),text:t}}this.consume();if(n)for(var d=0;d<n[0].length;d++){var h=n[0][d];if(!ga[h])throw new ParseError("Unknown accent ' "+h+"'",e);var c=ga[h][this.mode]||ga[h].text;if(!c)throw new ParseError("Accent "+h+" unsupported in "+this.mode+" mode",e);i={type:"accent",mode:this.mode,loc:SourceLocation.range(e),label:c,isStretchy:false,isShifty:true,base:i}}return i}}Parser.endOfExpression=["}","\\endgroup","\\end","\\right","&"];var ya=function parseTree(e,t){if(!(typeof e==="string"||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new Parser(e,t);delete r.gullet.macros.current["\\df@tag"];var a=r.parse();delete r.gullet.macros.current["\\current@color"];delete r.gullet.macros.current["\\color"];if(r.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new ParseError("\\tag works only in display equations");a=[{type:"tag",mode:"text",body:a,tag:r.subparse([new Token("\\df@tag")])}]}return a};var Sa=function render(e,t,r){t.textContent="";var a=ka(e,r).toNode();t.appendChild(a)};if(typeof document!=="undefined"&&document.compatMode!=="CSS1Compat"){typeof console!=="undefined"&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype.");Sa=function render(){throw new ParseError("KaTeX doesn't work in quirks mode.")}}var xa=function renderToString(e,t){var r=ka(e,t).toMarkup();return r};var wa=function generateParseTree(e,t){var r=new Settings(t);return ya(e,r)};var Ma=function renderError(e,t,r){if(r.throwOnError||!(e instanceof ParseError))throw e;var a=st.makeSpan(["katex-error"],[new SymbolNode(t)]);a.setAttribute("title",e.toString());a.setAttribute("style","color:"+r.errorColor);return a};var ka=function renderToDomTree(e,t){var r=new Settings(t);try{var a=ya(e,r);return Dt(a,e,r)}catch(t){return Ma(t,e,r)}};var za=function renderToHTMLTree(e,t){var r=new Settings(t);try{var a=ya(e,r);return Vt(a,e,r)}catch(t){return Ma(t,e,r)}};var Ta="0.16.21";var Aa={Span:Span,Anchor:Anchor,SymbolNode:SymbolNode,SvgNode:SvgNode,PathNode:PathNode,LineNode:LineNode};var Na={version:Ta,render:Sa,renderToString:xa,ParseError:ParseError,SETTINGS_SCHEMA:h,__parse:wa,__renderToDomTree:ka,__renderToHTMLTree:za,__setFontMetrics:setFontMetrics,__defineSymbol

7:defineSymbol,__defineFunction:defineFunction,__defineMacro:defineMacro,__domTree:Aa};export{ParseError,h as SETTINGS_SCHEMA,defineFunction as __defineFunction,defineMacro as __defineMacro,defineSymbol as __defineSymbol,Aa as __domTree,wa as __parse,ka as __renderToDomTree,za as __renderToHTMLTree,setFontMetrics as __setFontMetrics,Na as default,Sa as render,xa as renderToString,Ta as version};
8