From 522f7d4a8977b26fdc4b1a0693a74eb86c3a9b6f Mon Sep 17 00:00:00 2001
From: Ben Alpert <spicyjalapeno@gmail.com>
Date: Sun, 14 Sep 2014 16:11:00 -0700
Subject: [PATCH] Use inverse Fourier transform

---
 index.html              |  9 +++++++-
 lib/katex/katex.min.css | 10 ++++++++
 lib/katex/katex.min.js  |  6 ++---
 main.css                | 51 ++++++++++++++++++++++++++++-------------
 main.js                 |  2 +-
 5 files changed, 57 insertions(+), 21 deletions(-)

diff --git a/index.html b/index.html
index 5b853aff6..1f6f87f72 100644
--- a/index.html
+++ b/index.html
@@ -23,7 +23,10 @@
           <div class="demo-instructions">
             Type an expression:
           </div>
-          <textarea id="demo-input" spellcheck="false">x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}</textarea>
+          <textarea id="demo-input" spellcheck="false">
+f(x) = \int_{-\infty}^\infty
+    \hat f(\xi)\,e^{2 \pi i \xi x}
+    \,d\xi</textarea>
         </div>
         <div class="demo-right">
           <div class="demo-instructions">
@@ -41,6 +44,10 @@
       <div class="example tex" data-expr="\displaystyle \frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }"></div>
       <div class="example tex" data-expr="\displaystyle \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)"></div>
       <div class="example tex" data-expr="\displaystyle 1 +  \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1."></div>
+
+      <div class="cta">
+        <a href="#" role="button"><i class="fa fa-download"></i> Download</a><a href="https://github.com/Khan/KaTeX" role="button"><i class="fa fa-github"></i> View on GitHub</a>
+      </div>
     </div></div>
 
     <div class="footer"><div class="container">
diff --git a/lib/katex/katex.min.css b/lib/katex/katex.min.css
index 9a82c2743..eacd8de67 100644
--- a/lib/katex/katex.min.css
+++ b/lib/katex/katex.min.css
@@ -746,3 +746,13 @@ big parens
 .katex .op-limits > .vlist > span {
   text-align: center;
 }
+.katex .accent > .vlist > span {
+  text-align: center;
+}
+.katex .accent .accent-body > span {
+  width: 0;
+}
+.katex .accent .accent-body.accent-vec > span {
+  position: relative;
+  left: 0.326em;
+}
diff --git a/lib/katex/katex.min.js b/lib/katex/katex.min.js
index 30b5a67db..ea67b7cce 100644
--- a/lib/katex/katex.min.js
+++ b/lib/katex/katex.min.js
@@ -1,3 +1,3 @@
-(function(t){if("function"==typeof bootstrap)bootstrap("katex",t);else if("object"==typeof exports)module.exports=t();else if("function"==typeof define&&define.amd)define(t);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeKatex=t}else"undefined"!=typeof window?window.katex=t():global.katex=t()})(function(){var t,i,e,h,a;return function l(t,i,e){function h(p,r){if(!i[p]){if(!t[p]){var c=typeof require=="function"&&require;if(!r&&c)return c(p,!0);if(a)return a(p,!0);throw new Error("Cannot find module '"+p+"'")}var g=i[p]={exports:{}};t[p][0].call(g.exports,function(i){var e=t[p][1][i];return h(e?e:i)},g,g.exports,l,t,i,e)}return i[p].exports}var a=typeof require=="function"&&require;for(var p=0;p<e.length;p++)h(e[p]);return h}({1:[function(t,i,e){var h=t("./ParseError");function a(t){this._input=t}function l(t,i,e){this.type=t;this.text=i;this.position=e}var p=[[/^[/|@."`0-9]/,"textord"],[/^[a-zA-Z]/,"mathord"],[/^[*+-]/,"bin"],[/^[=<>:]/,"rel"],[/^[,;]/,"punct"],[/^'/,"'"],[/^\^/,"^"],[/^_/,"_"],[/^{/,"{"],[/^}/,"}"],[/^[(\[]/,"open"],[/^[)\]?!]/,"close"],[/^~/,"spacing"]];var r=[[/^[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/,"textord"],[/^{/,"{"],[/^}/,"}"],[/^~/,"spacing"]];var c=/^\s*/;var g=/^( +|\\  +)/;var d=/^\\(?:[a-zA-Z]+|.)/;a.prototype._innerLex=function(t,i,e){var a=this._input.slice(t);if(e){var p=a.match(c)[0];t+=p.length;a=a.slice(p.length)}else{var p=a.match(g);if(p!==null){return new l(" "," ",t+p[0].length)}}if(a.length===0){return new l("EOF",null,t)}var r;if(r=a.match(d)){return new l(r[0],r[0],t+r[0].length)}else{for(var n=0;n<i.length;n++){var o=i[n];if(r=a.match(o[0])){return new l(o[1],r[0],t+r[0].length)}}}throw new h("Unexpected character: '"+a[0]+"'",this,t)};var n=/^(#[a-z0-9]+|[a-z]+)/i;a.prototype._innerLexColor=function(t){var i=this._input.slice(t);var e=i.match(c)[0];t+=e.length;i=i.slice(e.length);var a;if(a=i.match(n)){return new l("color",a[0],t+a[0].length)}throw new h("Invalid color",this,t)};var o=/^(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/;a.prototype._innerLexSize=function(t){var i=this._input.slice(t);var e=i.match(c)[0];t+=e.length;i=i.slice(e.length);var a;if(a=i.match(o)){var p=a[2];if(p!=="em"&&p!=="ex"){throw new h("Invalid unit: '"+p+"'",this,t)}return new l("size",{number:+a[1],unit:p},t+a[0].length)}throw new h("Invalid size",this,t)};a.prototype._innerLexWhitespace=function(t){var i=this._input.slice(t);var e=i.match(c)[0];t+=e.length;return new l("whitespace",e,t)};a.prototype.lex=function(t,i){if(i==="math"){return this._innerLex(t,p,true)}else if(i==="text"){return this._innerLex(t,r,false)}else if(i==="color"){return this._innerLexColor(t)}else if(i==="size"){return this._innerLexSize(t)}else if(i==="whitespace"){return this._innerLexWhitespace(t)}};i.exports=a},{"./ParseError":3}],2:[function(t,i,e){function h(t,i,e,h,a){this.style=t;this.color=e;this.size=i;if(h===undefined){h=t}this.parentStyle=h;if(a===undefined){a=i}this.parentSize=a}h.prototype.withStyle=function(t){return new h(t,this.size,this.color,this.style,this.size)};h.prototype.withSize=function(t){return new h(this.style,t,this.color,this.style,this.size)};h.prototype.withColor=function(t){return new h(this.style,this.size,t,this.style,this.size)};h.prototype.reset=function(){return new h(this.style,this.size,this.color,this.style,this.size)};var a={"katex-blue":"#6495ed","katex-orange":"#ffa500","katex-pink":"#ff00af","katex-red":"#df0030","katex-green":"#28ae7b","katex-gray":"gray","katex-purple":"#9d38bd"};h.prototype.getColor=function(){return a[this.color]||this.color};i.exports=h},{}],3:[function(t,i,e){function h(t,i,e){var a="KaTeX parse error: "+t;if(i!==undefined&&e!==undefined){a+=" at position "+e+": ";var l=i._input;l=l.slice(0,e)+"̲"+l.slice(e);var p=Math.max(0,e-15);var r=e+15;a+=l.slice(p,r)}var c=new Error(a);c.name="ParseError";c.__proto__=h.prototype;return c}h.prototype.__proto__=Error.prototype;i.exports=h},{}],4:[function(t,i,e){var h=t("./functions");var a=t("./Lexer");var l=t("./symbols");var p=t("./utils");var r=t("./ParseError");function c(t){this.lexer=new a(t)}function g(t,i,e){this.type=t;this.value=i;this.mode=e}function d(t,i){this.result=t;this.position=i}function n(t,i,e,h,a){this.result=t;this.isFunction=i;this.allowedInText=e;this.numArgs=h;this.argTypes=a}c.prototype.expect=function(t,i){if(t.type!==i){throw new r("Expected '"+i+"', got '"+t.type+"'",this.lexer,t.position)}};c.prototype.parse=function(t){var i=this.parseInput(0,"math");return i.result};c.prototype.parseInput=function(t,i){var e=this.parseExpression(t,i);var h=this.lexer.lex(e.position,i);this.expect(h,"EOF");return e};c.prototype.handleExpressionBody=function(t,i){var e=[];var h;while(h=this.parseAtom(t,i)){e.push(h.result);t=h.position}return{body:e,position:t}};c.prototype.parseExpression=function(t,i){var e=this.handleExpressionBody(t,i);return new d(e.body,e.position)};var o=1;c.prototype.handleSupSubscript=function(t,i,e,a){var l=this.parseGroup(t,i);if(!l){throw new r("Expected group after '"+e+"'",this.lexer,t)}else if(l.numArgs>0){var p=h.getGreediness(l.result.result);if(p>o){return this.parseFunction(t,i)}else{throw new r("Got function '"+l.result.result+"' with no arguments "+"as "+a,this.lexer,t)}}else{return l.result}};c.prototype.parseAtom=function(t,i){var e=this.parseImplicitGroup(t,i);if(i==="text"){return e}var h;if(!e){h=t;e=undefined}else{h=e.position}var a;var l;while(true){var p=this.lexer.lex(h,i);var c;if(p.type==="^"){if(a){throw new r("Double superscript",this.lexer,h)}var n=this.handleSupSubscript(p.position,i,p.type,"superscript");h=n.position;a=n.result}else if(p.type==="_"){if(l){throw new r("Double subscript",this.lexer,h)}var n=this.handleSupSubscript(p.position,i,p.type,"subscript");h=n.position;l=n.result}else if(p.type==="'"){var o=new g("textord","\\prime",i);var s=[o];h=p.position;while((p=this.lexer.lex(h,i)).type==="'"){s.push(o);h=p.position}a=new g("ordgroup",s,i)}else{break}}if(a||l){return new d(new g("supsub",{base:e&&e.result,sup:a,sub:l},i),h)}else{return e}};var s=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var u=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];c.prototype.parseImplicitGroup=function(t,i){var e=this.parseSymbol(t,i);if(!e||!e.result){return this.parseFunction(t,i)}var h=e.result.result;if(h==="\\left"){var a=this.parseFunction(t,i);var l=this.handleExpressionBody(a.position,i);var c=this.parseSymbol(l.position,i);if(c&&c.result.result==="\\right"){var n=this.parseFunction(l.position,i);return new d(new g("leftright",{body:l.body,left:a.result.value.value,right:n.result.value.value},i),n.position)}else{throw new r("Missing \\right",this.lexer,l.position)}}else if(h==="\\right"){return null}else if(p.contains(s,h)){var l=this.handleExpressionBody(e.result.position,i);return new d(new g("sizing",{size:"size"+(p.indexOf(s,h)+1),value:l.body},i),l.position)}else if(p.contains(u,h)){var l=this.handleExpressionBody(e.result.position,i);return new d(new g("styling",{style:h.slice(1,h.length-5),value:l.body},i),l.position)}else{return this.parseFunction(t,i)}};c.prototype.parseFunction=function(t,i){var e=this.parseGroup(t,i);if(e){if(e.isFunction){var a=e.result.result;if(i==="text"&&!e.allowedInText){throw new r("Can't use function '"+a+"' in text mode",this.lexer,e.position)}var l=e.result.position;var p;if(e.numArgs>0){var c=h.getGreediness(a);var n=[a];var o=[l];for(var s=0;s<e.numArgs;s++){var u=e.argTypes&&e.argTypes[s];if(u){var m=this.parseSpecialGroup(l,u,i)}else{var m=this.parseGroup(l,i)}if(!m){throw new r("Expected group after '"+e.result.result+"'",this.lexer,l)}var f;if(m.numArgs>0){var v=h.getGreediness(m.result.result);if(v>c){f=this.parseFunction(l,i)}else{throw new r("Got function '"+m.result.result+"' as "+"argument to function '"+e.result.result+"'",this.lexer,m.result.position-1)}}else{f=m.result}n.push(f.result);o.push(f.position);l=f.position}n.push(o);p=h.funcs[a].handler.apply(this,n)}else{p=h.funcs[a].handler.apply(this,[a])}return new d(new g(p.type,p,i),l)}else{return e.result}}else{return null}};c.prototype.parseSpecialGroup=function(t,i,e){if(i==="color"||i==="size"){var h=this.lexer.lex(t,e);this.expect(h,"{");var a=this.lexer.lex(h.position,i);var l=this.lexer.lex(a.position,e);this.expect(l,"}");return new n(new d(new g("color",a.text,e),l.position),false)}else if(i==="text"){var p=this.lexer.lex(t,"whitespace");return this.parseGroup(p.position,i)}else{return this.parseGroup(t,i)}};c.prototype.parseGroup=function(t,i){var e=this.lexer.lex(t,i);if(e.type==="{"){var h=this.parseExpression(e.position,i);var a=this.lexer.lex(h.position,i);this.expect(a,"}");return new n(new d(new g("ordgroup",h.result,i),a.position),false)}else{return this.parseSymbol(t,i)}};c.prototype.parseSymbol=function(t,i){var e=this.lexer.lex(t,i);if(h.funcs[e.type]){var a=h.funcs[e.type];var p=a.argTypes;if(p){p=p.slice();for(var r=0;r<p.length;r++){if(p[r]==="original"){p[r]=i}}}return new n(new d(e.type,e.position),true,a.allowedInText,a.numArgs,p)}else if(l[i][e.text]){return new n(new d(new g(l[i][e.text].group,e.text,i),e.position),false)}else{return null}};i.exports=c},{"./Lexer":1,"./ParseError":3,"./functions":11,"./symbols":14,"./utils":15}],5:[function(t,i,e){function h(t,i,e,h){this.id=t;this.size=i;this.cramped=h;this.sizeMultiplier=e}h.prototype.sup=function(){return u[m[this.id]]};h.prototype.sub=function(){return u[f[this.id]]};h.prototype.fracNum=function(){return u[v[this.id]]};h.prototype.fracDen=function(){return 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S,k;if(c!==null){S=s(c,u);k=S.height+S.depth}var T=v+w;if(c!==null){T+=k}while(T<i){T+=b;if(c!==null){T+=b}}var M=r.metrics.axisHeight;if(e){M*=h.style.sizeMultiplier}var R=T/2+M;var C=T/2-M;var E=[];E.push(y(d,u,a));if(c===null){var P=T-v-w;var A=Math.ceil(P/b);for(var I=0;I<A;I++){E.push(y(g,u,a))}}else{var L=T/2-v-k/2;var O=Math.ceil(L/b);var q=T/2-v-k/2;var D=Math.ceil(q/b);for(var I=0;I<O;I++){E.push(y(g,u,a))}E.push(y(c,u,a));for(var I=0;I<D;I++){E.push(y(g,u,a))}}E.push(y(p,u,a));var F=n.makeVList(E,"bottom",C,h);return m(o(["delimsizing","mult"],[F],h.getColor()),l.TEXT,h)};var b=["(",")","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","<",">","\\langle","\\rangle","/","\\backslash","\\surd"];var z=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert"];var w=["<",">","\\langle","\\rangle","/","\\backslash"];var S=[0,1.2,1.8,2.4,3];var k=function(t,i,e,h){if(t==="<"){t="\\langle"}else if(t===">"){t="\\rangle"}var l;if(g.contains(b,t)){return v(t,i,false,e,h)}else if(g.contains(z,t)){return x(t,S[i],false,e,h)}else{throw new a("Illegal delimiter: '"+t+"'")}};var T=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}];var M=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"stack"}];var R=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];var C=function(t){if(t.type==="small"){return"Main-Regular"}else if(t.type==="large"){return"Size"+t.size+"-Regular"}else if(t.type==="stack"){return"Size4-Regular"}};var E=function(t,i,e,h){var a=Math.min(2,3-h.style.size);for(var 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-var G=function(t,i){return N[i][t.charCodeAt(0)]};i.exports={metrics:B,getCharacterMetrics:G}},{}],11:[function(t,i,e){var h=t("./utils");var a=t("./ParseError");var l={"\\sqrt":{numArgs:1,handler:function(t,i){return{type:"sqrt",body:i}}},"\\text":{numArgs:1,argTypes:["text"],greediness:2,handler:function(t,i){var e;if(i.type==="ordgroup"){e=i.value}else{e=[i]}return{type:"text",body:e}}},"\\color":{numArgs:2,allowedInText:true,argTypes:["color","original"],handler:function(t,i,e){var h;if(e.type==="ordgroup"){h=e.value}else{h=[e]}return{type:"color",color:i.value,value:h}}},"\\overline":{numArgs:1,handler:function(t,i){return{type:"overline",body:i}}},"\\rule":{numArgs:2,argTypes:["size","size"],handler:function(t,i,e){return{type:"rule",width:i.value,height:e.value}}},"\\KaTeX":{numArgs:0,handler:function(t){return{type:"katex"}}}};var 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Error(a);r.name="ParseError";r.__proto__=h.prototype;return r}h.prototype.__proto__=Error.prototype;t.exports=h},{}],4:[function(e,t,i){var h=e("./functions");var a=e("./Lexer");var l=e("./symbols");var s=e("./utils");var p=e("./ParseError");function r(e){this.lexer=new a(e)}function c(e,t,i){this.type=e;this.value=t;this.mode=i}function g(e,t){this.result=e;this.position=t}function d(e,t,i,h,a){this.result=e;this.isFunction=t;this.allowedInText=i;this.numArgs=h;this.argTypes=a}r.prototype.expect=function(e,t){if(e.type!==t){throw new p("Expected '"+t+"', got '"+e.type+"'",this.lexer,e.position)}};r.prototype.parse=function(e){var t=this.parseInput(0,"math");return t.result};r.prototype.parseInput=function(e,t){var i=this.parseExpression(e,t);var h=this.lexer.lex(i.position,t);this.expect(h,"EOF");return i};r.prototype.handleExpressionBody=function(e,t){var i=[];var h;while(h=this.parseAtom(e,t)){i.push(h.result);e=h.position}return{body:i,position:e}};r.prototype.parseExpression=function(e,t){var i=this.handleExpressionBody(e,t);return new g(i.body,i.position)};var n=1;r.prototype.handleSupSubscript=function(e,t,i,a){var l=this.parseGroup(e,t);if(!l){throw new p("Expected group after '"+i+"'",this.lexer,e)}else if(l.numArgs>0){var s=h.getGreediness(l.result.result);if(s>n){return this.parseFunction(e,t)}else{throw new p("Got function '"+l.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return l.result}};r.prototype.parseAtom=function(e,t){var i=this.parseImplicitGroup(e,t);if(t==="text"){return i}var h;if(!i){h=e;i=undefined}else{h=i.position}var a;var l;while(true){var s=this.lexer.lex(h,t);var r;if(s.type==="^"){if(a){throw new p("Double superscript",this.lexer,h)}var d=this.handleSupSubscript(s.position,t,s.type,"superscript");h=d.position;a=d.result}else if(s.type==="_"){if(l){throw new p("Double subscript",this.lexer,h)}var d=this.handleSupSubscript(s.position,t,s.type,"subscript");h=d.position;l=d.result}else if(s.type==="'"){var n=new c("textord","\\prime",t);var o=[n];h=s.position;while((s=this.lexer.lex(h,t)).type==="'"){o.push(n);h=s.position}a=new c("ordgroup",o,t)}else{break}}if(a||l){return new g(new c("supsub",{base:i&&i.result,sup:a,sub:l},t),h)}else{return i}};var o=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var w=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];r.prototype.parseImplicitGroup=function(e,t){var i=this.parseSymbol(e,t);if(!i||!i.result){return this.parseFunction(e,t)}var h=i.result.result;if(h==="\\left"){var a=this.parseFunction(e,t);var l=this.handleExpressionBody(a.position,t);var r=this.parseSymbol(l.position,t);if(r&&r.result.result==="\\right"){var d=this.parseFunction(l.position,t);return new g(new c("leftright",{body:l.body,left:a.result.value.value,right:d.result.value.value},t),d.position)}else{throw new p("Missing \\right",this.lexer,l.position)}}else if(h==="\\right"){return null}else if(s.contains(o,h)){var l=this.handleExpressionBody(i.result.position,t);return new g(new c("sizing",{size:"size"+(s.indexOf(o,h)+1),value:l.body},t),l.position)}else if(s.contains(w,h)){var l=this.handleExpressionBody(i.result.position,t);return new g(new c("styling",{style:h.slice(1,h.length-5),value:l.body},t),l.position)}else{return this.parseFunction(e,t)}};r.prototype.parseFunction=function(e,t){var i=this.parseGroup(e,t);if(i){if(i.isFunction){var a=i.result.result;if(t==="text"&&!i.allowedInText){throw new p("Can't use function '"+a+"' in text mode",this.lexer,i.position)}var l=i.result.position;var s;if(i.numArgs>0){var r=h.getGreediness(a);var d=[a];var n=[l];for(var o=0;o<i.numArgs;o++){var w=i.argTypes&&i.argTypes[o];if(w){var k=this.parseSpecialGroup(l,w,t)}else{var k=this.parseGroup(l,t)}if(!k){throw new p("Expected group after '"+i.result.result+"'",this.lexer,l)}var u;if(k.numArgs>0){var m=h.getGreediness(k.result.result);if(m>r){u=this.parseFunction(l,t)}else{throw new p("Got function '"+k.result.result+"' as "+"argument to function '"+i.result.result+"'",this.lexer,k.result.position-1)}}else{u=k.result}d.push(u.result);n.push(u.position);l=u.position}d.push(n);s=h.funcs[a].handler.apply(this,d)}else{s=h.funcs[a].handler.apply(this,[a])}return new g(new c(s.type,s,t),l)}else{return i.result}}else{return null}};r.prototype.parseSpecialGroup=function(e,t,i){if(t==="color"||t==="size"){var h=this.lexer.lex(e,i);this.expect(h,"{");var a=this.lexer.lex(h.position,t);var l=this.lexer.lex(a.position,i);this.expect(l,"}");return new d(new g(new c("color",a.text,i),l.position),false)}else if(t==="text"){var s=this.lexer.lex(e,"whitespace");return this.parseGroup(s.position,t)}else{return this.parseGroup(e,t)}};r.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.type==="{"){var h=this.parseExpression(i.position,t);var a=this.lexer.lex(h.position,t);this.expect(a,"}");return new d(new g(new c("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};r.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.type]){var a=h.funcs[i.type];var s=a.argTypes;if(s){s=s.slice();for(var p=0;p<s.length;p++){if(s[p]==="original"){s[p]=t}}}return new d(new g(i.type,i.position),true,a.allowedInText,a.numArgs,s)}else if(l[t][i.text]){return new d(new g(new c(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};t.exports=r},{"./Lexer":1,"./ParseError":3,"./functions":11,"./symbols":14,"./utils":15}],5:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return w[k[this.id]]};h.prototype.sub=function(){return w[u[this.id]]};h.prototype.fracNum=function(){return w[m[this.id]]};h.prototype.fracDen=function(){return w[f[this.id]]};h.prototype.cramp=function(){return w[v[this.id]]};h.prototype.cls=function(){return n[this.size]+(this.cramped?" cramped":" uncramped")};h.prototype.reset=function(){return o[this.size]};var a=0;var l=1;var s=2;var p=3;var r=4;var c=5;var g=6;var d=7;var n=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var o=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var w=[new h(a,0,1,false),new h(l,0,1,true),new h(s,1,1,false),new h(p,1,1,true),new h(r,2,.7,false),new h(c,2,.7,true),new h(g,3,.5,false),new h(d,3,.5,true)];var k=[r,c,r,c,g,d,g,d];var u=[c,c,c,c,d,d,d,d];var m=[s,p,r,c,g,d,g,d];var f=[p,p,c,c,d,d,d,d];var v=[l,l,p,p,c,c,d,d];t.exports={DISPLAY:w[a],TEXT:w[s],SCRIPT:w[r],SCRIPTSCRIPT:w[g]}},{}],6:[function(e,t,i){var h=e("./domTree");var a=e("./fontMetrics");var l=e("./symbols");var s=function(e,t,i,s,p){if(l[i][e]&&l[i][e].replace){e=l[i][e].replace}var r=a.getCharacterMetrics(e,t);var c;if(r){c=new h.symbolNode(e,r.height,r.depth,r.italic,r.skew,p)}else{console&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");c=new h.symbolNode(e,0,0,0,0,p)}if(s){c.style.color=s}return c};var p=function(e,t,i,h){return s(e,"Math-Italic",t,i,h.concat(["mathit"]))};var r=function(e,t,i,h){if(l[t][e].font==="main"){return s(e,"Main-Regular",t,i,h)}else{return s(e,"AMS-Regular",t,i,h.concat(["amsrm"]))}};var c=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var g=function(e,t,i){var a=new h.span(e,t);c(a);if(i){a.style.color=i}return a};var d=function(e){var t=new h.documentFragment(e);c(t);return t};var n=function(e,t){var i=g([],[new h.symbolNode("​")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=g(["fontsize-ensurer","reset-"+e.size,"size5"],[i]);return a};var o=function(e,t,i,a){var l;if(t==="individualShift"){var s=e;e=[s[0]];l=-s[0].shift-s[0].elem.depth;var p=l;for(var r=1;r<s.length;r++){var c=-s[r].shift-p-s[r].elem.depth;var d=c-(s[r-1].elem.height+s[r-1].elem.depth);p=p+c;e.push({type:"kern",size:d});e.push(s[r])}}else if(t==="top"){var o=i;for(var r=0;r<e.length;r++){if(e[r].type==="kern"){o-=e[r].size}else{o-=e[r].elem.height+e[r].elem.depth}}l=o}else if(t==="bottom"){l=-i}else if(t==="shift"){l=-e[0].elem.depth-i}else if(t==="firstBaseline"){l=-e[0].elem.depth}else{l=0}var w=0;for(var r=0;r<e.length;r++){if(e[r].type==="elem"){w=Math.max(w,e[r].elem.maxFontSize)}}var k=n(a,w);var u=[];var p=l;for(var r=0;r<e.length;r++){if(e[r].type==="kern"){p+=e[r].size}else{var m=e[r].elem;var f=-m.depth-p;p+=m.height+m.depth;var v=g([],[k,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";u.push(v)}}var y=g(["baseline-fix"],[k,new h.symbolNode("​")]);u.push(y);var x=g(["vlist"],u);x.height=Math.max(p,x.height);x.depth=Math.max(-l,x.depth);return x};t.exports={makeSymbol:s,mathit:p,mathrm:r,makeSpan:g,makeFragment:d,makeFontSizer:n,makeVList:o}},{"./domTree":9,"./fontMetrics":10,"./symbols":14}],7:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var l=e("./Style");var s=e("./buildCommon");var p=e("./delimiter");var r=e("./domTree");var c=e("./fontMetrics");var g=e("./parseTree");var d=e("./symbols");var n=e("./utils");var o=s.makeSpan;var w=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var l=e[a];h.push(b(l,t,i));i=l}return h};var k={mathord:"mord",textord:"mord",bin:"mbin",rel:"mrel",text:"mord",open:"mopen",close:"mclose",inner:"minner",frac:"minner",spacing:"mord",punct:"mpunct",ordgroup:"mord",op:"mop",katex:"mord",overline:"mord",rule:"mord",leftright:"minner",sqrt:"mord",accent:"mord"};var u=function(e){if(e==null){return k.mathord}else if(e.type==="supsub"){return u(e.value.base)}else if(e.type==="llap"||e.type==="rlap"){return u(e.value)}else if(e.type==="color"){return u(e.value.value)}else if(e.type==="sizing"){return u(e.value.value)}else if(e.type==="styling"){return u(e.value.value)}else if(e.type==="delimsizing"){return k[e.value.delimType]}else{return k[e.type]}};var m=function(e,t){if(e==null){return false}else if(e.type==="op"){return e.value.limits&&t.style.id===l.DISPLAY.id}else if(e.type==="accent"){return v(e.value.base)}else{return null}};var f=function(e){if(e==null){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return f(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return f(e.value.value[0])}else{return e}}else{return e}};var v=function(e){var t=f(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="open"||t.type==="close"||t.type==="punct"};var y={mathord:function(e,t,i){return s.mathit(e.value,e.mode,t.getColor(),["mord"])},textord:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mord"])},bin:function(e,t,i){var h="mbin";var a=i;while(a&&a.type=="color"){var l=a.value.value;a=l[l.length-1]}if(!i||n.contains(["mbin","mopen","mrel","mop","mpunct"],u(a))){e.type="textord";h="mord"}return s.mathrm(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mrel"])},text:function(e,t,i){return o(["text","mord",t.style.cls()],w(e.value.body,t.reset()))},supsub:function(e,t,i){var h=e.value.base;if(m(e.value.base,t)){return y[e.value.base.type](e,t,i)}var a=b(e.value.base,t.reset());if(e.value.sup){var p=b(e.value.sup,t.withStyle(t.style.sup()));var g=o([t.style.reset(),t.style.sup().cls()],[p])}if(e.value.sub){var d=b(e.value.sub,t.withStyle(t.style.sub()));var n=o([t.style.reset(),t.style.sub().cls()],[d])}var w,k;if(v(e.value.base)){w=0;k=0}else{w=a.height-c.metrics.supDrop;k=a.depth+c.metrics.subDrop}var f;if(t.style===l.DISPLAY){f=c.metrics.sup1}else if(t.style.cramped){f=c.metrics.sup3}else{f=c.metrics.sup2}var x=l.TEXT.sizeMultiplier*t.style.sizeMultiplier;var z=.5/c.metrics.ptPerEm/x+"em";var S;if(!e.value.sup){k=Math.max(k,c.metrics.sub1,d.height-.8*c.metrics.xHeight);S=s.makeVList([{type:"elem",elem:n}],"shift",k,t);S.children[0].style.marginRight=z;if(a instanceof r.symbolNode){S.children[0].style.marginLeft=-a.italic+"em"}}else if(!e.value.sub){w=Math.max(w,f,p.depth+.25*c.metrics.xHeight);S=s.makeVList([{type:"elem",elem:g}],"shift",-w,t);S.children[0].style.marginRight=z}else{w=Math.max(w,f,p.depth+.25*c.metrics.xHeight);k=Math.max(k,c.metrics.sub2);var T=c.metrics.defaultRuleThickness;if(w-p.depth-(d.height-k)<4*T){k=4*T-(w-p.depth)+d.height;var M=.8*c.metrics.xHeight-(w-p.depth);if(M>0){w+=M;k-=M}}S=s.makeVList([{type:"elem",elem:n,shift:k},{type:"elem",elem:g,shift:-w}],"individualShift",null,t);if(a instanceof r.symbolNode){S.children[1].style.marginLeft=a.italic+"em";a.italic=0}S.children[0].style.marginRight=z;S.children[1].style.marginRight=z}return o([u(e.value.base)],[a,S])},open:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mopen"])},close:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mclose"])},inner:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["minner"])},frac:function(e,t,i){var h=t.style;if(e.value.size==="dfrac"){h=l.DISPLAY}else if(e.value.size==="tfrac"){h=l.TEXT}var a=h.fracNum();var p=h.fracDen();var r=b(e.value.numer,t.withStyle(a));var g=o([h.reset(),a.cls()],[r]);var d=b(e.value.denom,t.withStyle(p));var n=o([h.reset(),p.cls()],[d]);var w=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var k=o([t.style.reset(),l.TEXT.cls(),"frac-line"]);k.height=w;var u,m,f;if(h.size===l.DISPLAY.size){u=c.metrics.num1;m=c.metrics.denom1;f=3*w}else{u=c.metrics.num2;m=c.metrics.denom2;f=w}var v=c.metrics.axisHeight;if(u-r.depth-(v+.5*w)<f){u+=f-(u-r.depth-(v+.5*w))}if(v-.5*w-(d.height-m)<f){m+=f-(v-.5*w-(d.height-m))}var y=-(v-.5*w);var x=s.makeVList([{type:"elem",elem:n,shift:m},{type:"elem",elem:k,shift:y},{type:"elem",elem:g,shift:-u}],"individualShift",null,t);x.height*=h.sizeMultiplier/t.style.sizeMultiplier;x.depth*=h.sizeMultiplier/t.style.sizeMultiplier;return o(["minner","mfrac",t.style.reset(),h.cls()],[x],t.getColor())},color:function(e,t,i){var h=w(e.value.value,t.withColor(e.value.color),i);return new s.makeFragment(h)},spacing:function(e,t,i){if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){return o(["mord","mspace"],[s.mathrm(e.value,e.mode)])}else{var h={"\\qquad":"qquad","\\quad":"quad","\\enspace":"enspace","\\;":"thickspace","\\:":"mediumspace","\\,":"thinspace","\\!":"negativethinspace"};return o(["mord","mspace",h[e.value]])}},llap:function(e,t,i){var h=o(["inner"],[b(e.value.body,t.reset())]);var a=o(["fix"],[]);return o(["llap",t.style.cls()],[h,a])},rlap:function(e,t,i){var h=o(["inner"],[b(e.value.body,t.reset())]);var a=o(["fix"],[]);return o(["rlap",t.style.cls()],[h,a])},punct:function(e,t,i){return s.mathrm(e.value,e.mode,t.getColor(),["mpunct"])},ordgroup:function(e,t,i){return o(["mord",t.style.cls()],w(e.value,t.reset()))},op:function(e,t,i){var h;var a;var p=false;if(e.type==="supsub"){h=e.value.sup;a=e.value.sub;e=e.value.base;p=true}var r=["\\smallint"];var g=false;if(t.style.id===l.DISPLAY.id&&e.value.symbol&&!n.contains(r,e.value.body)){g=true}var d;var w=0;var k=0;if(e.value.symbol){var u=g?"Size2-Regular":"Size1-Regular";d=s.makeSymbol(e.value.body,u,"math",t.getColor(),["op-symbol",g?"large-op":"small-op","mop"]);w=(d.height-d.depth)/2-c.metrics.axisHeight*t.style.sizeMultiplier;k=d.italic}else{var m=[];for(var f=1;f<e.value.body.length;f++){m.push(s.mathrm(e.value.body[f],e.mode))}d=o(["mop"],m,t.getColor())}if(p){var d=o([],[d]);if(h){var v=b(h,t.withStyle(t.style.sup()));var y=o([t.style.reset(),t.style.sup().cls()],[v]);var x=Math.max(c.metrics.bigOpSpacing1,c.metrics.bigOpSpacing3-v.depth)}if(a){var z=b(a,t.withStyle(t.style.sub()));var S=o([t.style.reset(),t.style.sub().cls()],[z]);var T=Math.max(c.metrics.bigOpSpacing2,c.metrics.bigOpSpacing4-z.height)}var M;if(!h){var R=d.height-w;M=s.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:S},{type:"kern",size:T},{type:"elem",elem:d}],"top",R,t);M.children[0].style.marginLeft=-k+"em"}else if(!a){var C=d.depth+w;M=s.makeVList([{type:"elem",elem:d},{type:"kern",size:x},{type:"elem",elem:y},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",C,t);M.children[1].style.marginLeft=k+"em"}else if(!h&&!a){return d}else{var C=c.metrics.bigOpSpacing5+S.height+S.depth+T+d.depth+w;M=s.makeVList([{type:"kern",size:c.metrics.bigOpSpacing5},{type:"elem",elem:S},{type:"kern",size:T},{type:"elem",elem:d},{type:"kern",size:x},{type:"elem",elem:y},{type:"kern",size:c.metrics.bigOpSpacing5}],"bottom",C,t);M.children[0].style.marginLeft=-k+"em";M.children[2].style.marginLeft=k+"em"}return o(["mop","op-limits"],[M])}else{if(e.value.symbol){d.style.top=w+"em"}return d}},katex:function(e,t,i){var h=o(["k"],[s.mathrm("K",e.mode)]);var a=o(["a"],[s.mathrm("A",e.mode)]);a.height=(a.height+.2)*.75;a.depth=(a.height-.2)*.75;var l=o(["t"],[s.mathrm("T",e.mode)]);var p=o(["e"],[s.mathrm("E",e.mode)]);p.height=p.height-.2155;p.depth=p.depth+.2155;var r=o(["x"],[s.mathrm("X",e.mode)]);return o(["katex-logo"],[h,a,l,p,r],t.getColor())},sqrt:function(e,t,i){var h=b(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var r=o([t.style.reset(),l.TEXT.cls(),"sqrt-line"],[],t.getColor());r.height=a;r.maxFontSize=1;var g=a;if(t.style.id<l.TEXT.id){g=c.metrics.xHeight}var d=a+g/4;var n=(h.height+h.depth)*t.style.sizeMultiplier;var w=n+d+a;var k=o(["sqrt-sign"],[p.customSizedDelim("\\surd",w,false,t,e.mode)],t.getColor());var u=k.height+k.depth-a;if(u>h.height+h.depth+d){d=(d+u-h.height-h.depth)/2}delimShift=-(h.height+d+a)+k.height;k.style.top=delimShift+"em";k.height-=delimShift;k.depth+=delimShift;var m;if(h.height===0&&h.depth===0){m=o()}else{m=s.makeVList([{type:"elem",elem:h},{type:"kern",size:d},{type:"elem",elem:r},{type:"kern",size:a}],"firstBaseline",null,t)}return o(["sqrt","mord"],[k,m])},overline:function(e,t,i){var h=b(e.value.body,t.withStyle(t.style.cramp()));var a=c.metrics.defaultRuleThickness/t.style.sizeMultiplier;var p=o([t.style.reset(),l.TEXT.cls(),"overline-line"]);p.height=a;p.maxFontSize=1;var r=s.makeVList([{type:"elem",elem:h},{type:"kern",size:3*a},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t);return o(["overline","mord"],[r],t.getColor())},sizing:function(e,t,i){var h=w(e.value.value,t.withSize(e.value.size),i);var a=o(["mord"],[o(["sizing","reset-"+t.size,e.value.size,t.style.cls()],h)]);var l={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var s=l[e.value.size];a.maxFontSize=s*t.style.sizeMultiplier;return a},styling:function(e,t,i){var h={display:l.DISPLAY,text:l.TEXT,script:l.SCRIPT,scriptscript:l.SCRIPTSCRIPT};var a=h[e.value.style];var s=w(e.value.value,t.withStyle(a),i);return o([t.style.reset(),a.cls()],s)},delimsizing:function(e,t,i){var h=e.value.value;if(h==="."){return o([k[e.value.delimType]])}return o([k[e.value.delimType]],[p.sizedDelim(h,e.value.size,t,e.mode)])},leftright:function(e,t,i){var h=w(e.value.body,t.reset());var a=0;var l=0;for(var s=0;s<h.length;s++){a=Math.max(h[s].height,a);l=Math.max(h[s].depth,l)}a*=t.style.sizeMultiplier;l*=t.style.sizeMultiplier;var r;if(e.value.left==="."){r=o(["nulldelimiter"])}else{r=p.leftRightDelim(e.value.left,a,l,t,e.mode)}h.unshift(r);var c;if(e.value.right==="."){c=o(["nulldelimiter"])}else{c=p.leftRightDelim(e.value.right,a,l,t,e.mode)}h.push(c);return o(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=o(["mord","rule"],[],t.getColor());var a=e.value.width.number;if(e.value.width.unit==="ex"){a*=c.metrics.xHeight}var l=e.value.height.number;if(e.value.height.unit==="ex"){l*=c.metrics.xHeight}a/=t.style.sizeMultiplier;l/=t.style.sizeMultiplier;h.style.borderRightWidth=a+"em";h.style.borderTopWidth=l+"em";h.width=a;h.height=l;return h},accent:function(e,t,i){var h=e.value.base;var a;if(e.type==="supsub"){var l=e;e=e.value.base;h=e.value.base;l.value.base=h;a=b(l,t.reset())}var p=b(h,t.withStyle(t.style.cramp()));var r;if(v(e.value.base)){var g=f(e.value.base);var d=b(g,t.withStyle(t.style.cramp()));r=d.skew}else{r=0}var n=Math.min(p.height,c.metrics.xHeight);var w=s.makeSymbol(e.value.accent,"Main-Regular","math",t.getColor());w.italic=0;var k=e.value.accent==="\\vec"?"accent-vec":null;var u=o(["accent-body",k],[o([],[w])]);var u=s.makeVList([{type:"elem",elem:p},{type:"kern",size:-n},{type:"elem",elem:u}],"firstBaseline",null,t);u.children[1].style.marginLeft=2*r+"em";var m=o(["mord","accent"],[u]);if(a){a.children[0]=m;a.height=Math.max(m.height,a.height);a.classes[0]="mord";return a}else{return m}}};var x={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var b=function(e,t,i){if(!e){return o()}if(y[e.type]){var h=y[e.type](e,t,i);if(t.style!==t.parentStyle){var l=t.style.sizeMultiplier/t.parentStyle.sizeMultiplier;h.height*=l;h.depth*=l}if(t.size!==t.parentSize){var l=x[t.size]/x[t.parentSize];h.height*=l;h.depth*=l}return h}else{throw new a("Got group of unknown type: '"+e.type+"'")}};var z=function(e){var t=new h(l.TEXT,"size5","");var i=w(e,t);var a=o(["base",t.style.cls()],i);var s=o(["strut"]);var p=o(["strut","bottom"]);s.style.height=a.height+"em";p.style.height=a.height+a.depth+"em";p.style.verticalAlign=-a.depth+"em";var r=o(["katex"],[o(["katex-inner"],[s,p,a])]);return r};t.exports=z},{"./Options":2,"./ParseError":3,"./Style":5,"./buildCommon":6,"./delimiter":8,"./domTree":9,"./fontMetrics":10,"./parseTree":13,"./symbols":14,"./utils":15}],8:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var l=e("./Style");var s=e("./domTree");var p=e("./fontMetrics");var r=e("./parseTree");var c=e("./utils");var g=e("./symbols");var d=e("./buildCommon");var n=e("./buildCommon").makeSpan;var o=function(e,t){if(g["math"][e]&&g["math"][e].replace){return p.getCharacterMetrics(g["math"][e].replace,t)}else{return p.getCharacterMetrics(e,t)}};var w=function(e,t,i){return d.makeSymbol(e,"Size"+t+"-Regular",i)};var k=function(e,t,i){var h=n(["style-wrap",i.style.reset(),t.cls()],[e]);var a=t.sizeMultiplier/i.style.sizeMultiplier;h.height*=a;h.depth*=a;h.maxFontSize=t.sizeMultiplier;return h};var u=function(e,t,i,h,a){var l=d.makeSymbol(e,"Main-Regular",a);var s=k(l,t,h);if(i){var r=(1-h.style.sizeMultiplier/t.sizeMultiplier)*p.metrics.axisHeight;s.style.top=r+"em";s.height-=r;s.depth+=r}return s};var m=function(e,t,i,h,a){var s=w(e,t,a);var r=k(n(["delimsizing","size"+t],[s],h.getColor()),l.TEXT,h);if(i){var c=(1-h.style.sizeMultiplier)*p.metrics.axisHeight;r.style.top=c+"em";r.height-=c;r.depth+=c}return r};var f=function(e,t,i){var h;if(t==="Size1-Regular"){h="delim-size1"}else if(t==="Size4-Regular"){h="delim-size4"}var a=n(["delimsizinginner",h],[n([],[d.makeSymbol(e,t,i)])]);return{type:"elem",elem:a}};var v=function(e,t,i,h,a){var s,r,c,g;s=c=g=e;r=null;var w="Size1-Regular";if(e==="\\uparrow"){c=g="⏐"}else if(e==="\\Uparrow"){c=g="‖"}else if(e==="\\downarrow"){s=c="⏐"}else if(e==="\\Downarrow"){s=c="‖"}else if(e==="\\updownarrow"){s="\\uparrow";c="⏐";g="\\downarrow"}else if(e==="\\Updownarrow"){s="\\Uparrow";c="‖";g="\\Downarrow"}else if(e==="|"||e==="\\vert"){}else if(e==="\\|"||e==="\\Vert"){}else if(e==="["||e==="\\lbrack"){s="⎡";c="⎢";g="⎣";w="Size4-Regular"}else if(e==="]"||e==="\\rbrack"){s="⎤";c="⎥";g="⎦";w="Size4-Regular"}else if(e==="\\lfloor"){c=s="⎢";g="⎣";w="Size4-Regular"}else if(e==="\\lceil"){s="⎡";c=g="⎢";w="Size4-Regular"}else if(e==="\\rfloor"){c=s="⎥";g="⎦";w="Size4-Regular"}else if(e==="\\rceil"){s="⎤";c=g="⎥";w="Size4-Regular"}else if(e==="("){s="⎛";c="⎜";g="⎝";w="Size4-Regular"}else if(e===")"){s="⎞";c="⎟";g="⎠";w="Size4-Regular"}else if(e==="\\{"||e==="\\lbrace"){s="⎧";r="⎨";g="⎩";c="⎪";w="Size4-Regular"}else if(e==="\\}"||e==="\\rbrace"){s="⎫";r="⎬";g="⎭";c="⎪";w="Size4-Regular"}else if(e==="\\surd"){s="";g="⎷";c="";w="Size4-Regular"}var u=o(s,w);var m=u.height+u.depth;var v=o(c,w);var y=v.height+v.depth;var x=o(g,w);var b=x.height+x.depth;var z,S;if(r!==null){z=o(r,w);S=z.height+z.depth}var T=m+b;if(r!==null){T+=S}while(T<t){T+=y;if(r!==null){T+=y}}var M=p.metrics.axisHeight;if(i){M*=h.style.sizeMultiplier}var R=T/2+M;var C=T/2-M;var E=[];E.push(f(g,w,a));if(r===null){var P=T-m-b;var A=Math.ceil(P/y);for(var L=0;L<A;L++){E.push(f(c,w,a))}}else{var I=T/2-m-S/2;var O=Math.ceil(I/y);var q=T/2-m-S/2;var D=Math.ceil(q/y);for(var L=0;L<O;L++){E.push(f(c,w,a))}E.push(f(r,w,a));for(var L=0;L<D;L++){E.push(f(c,w,a))}}E.push(f(s,w,a));var F=d.makeVList(E,"bottom",C,h);return k(n(["delimsizing","mult"],[F],h.getColor()),l.TEXT,h)};var y=["(",")","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","\\lceil","\\rceil","<",">","\\langle","\\rangle","/","\\backslash","\\surd"];var x=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert"];var b=["<",">","\\langle","\\rangle","/","\\backslash"];var z=[0,1.2,1.8,2.4,3];var S=function(e,t,i,h){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var l;if(c.contains(y,e)){return m(e,t,false,i,h)}else if(c.contains(x,e)){return v(e,z[t],false,i,h)}else{throw new a("Illegal delimiter: '"+e+"'")}};var T=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}];var M=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"stack"}];var R=[{type:"small",style:l.SCRIPTSCRIPT},{type:"small",style:l.SCRIPT},{type:"small",style:l.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}];var C=function(e){if(e.type==="small"){return"Main-Regular"}else if(e.type==="large"){return"Size"+e.size+"-Regular"}else if(e.type==="stack"){return"Size4-Regular"}};var E=function(e,t,i,h){var a=Math.min(2,3-h.style.size);for(var l=a;l<i.length;l++){if(i[l].type==="stack"){break}var s=o(e,C(i[l]));var p=s.height+s.depth;if(i[l].type==="small"){p*=i[l].style.sizeMultiplier}if(p>t){return i[l]}}return i[i.length-1]};var P=function(e,t,i,h,a){if(e==="<"){e="\\langle"}else if(e===">"){e="\\rangle"}var l;if(c.contains(b,e)){l=T}else if(c.contains(y,e)){l=R}else{l=M}var s=E(e,t,l,h);if(s.type==="small"){return u(e,s.style,i,h,a)}else if(s.type==="large"){return m(e,s.size,i,h,a)}else if(s.type==="stack"){return v(e,t,i,h,a)}};var A=function(e,t,i,h,a){var l=p.metrics.axisHeight*h.style.sizeMultiplier;var s=901;var r=5/p.metrics.ptPerEm;var c=Math.max(t-l,i+l);var g=Math.max(c/500*s,2*c-r);return P(e,g,true,h,a)};t.exports={sizedDelim:S,customSizedDelim:P,leftRightDelim:A}},{"./Options":2,"./ParseError":3,"./Style":5,"./buildCommon":6,"./domTree":9,"./fontMetrics":10,"./parseTree":13,"./symbols":14,"./utils":15}],9:[function(e,t,i){var h=e("./utils");var a=function(e){e=e.slice();for(var t=e.length-1;t>=0;t--){if(!e[t]){e.splice(t,1)}}return e.join(" ")};function l(e,t,i,h,a,l){this.classes=e||[];this.children=t||[];this.height=i||0;this.depth=h||0;this.maxFontSize=a||0;this.style=l||{}}l.prototype.toNode=function(){var e=document.createElement("span");e.className=a(this.classes);for(var t in this.style){if(this.style.hasOwnProperty(t)){e.style[t]=this.style[t]}}for(var i=0;i<this.children.length;i++){e.appendChild(this.children[i].toNode())}return e};l.prototype.toMarkup=function(){var e="<span";if(this.classes.length){e+=' class="';e+=h.escape(a(this.classes));e+='"'}var t="";for(var i in this.style){if(this.style.hasOwnProperty(i)){t+=h.hyphenate(i)+":"+this.style[i]+";"}}if(t){e+=' style="'+h.escape(t)+'"'}e+=">";for(var l=0;l<this.children.length;l++){e+=this.children[l].toMarkup()}e+="</span>";return e};function s(e,t,i,h){this.children=e||[];this.height=t||0;this.depth=i||0;this.maxFontSize=h||0}s.prototype.toNode=function(){var e=document.createDocumentFragment();for(var t=0;t<this.children.length;t++){e.appendChild(this.children[t].toNode())}return e};s.prototype.toMarkup=function(){var e="";for(var t=0;t<this.children.length;t++){e+=this.children[t].toMarkup()}return e};function p(e,t,i,h,a,l,s){this.value=e||"";this.height=t||0;this.depth=i||0;this.italic=h||0;this.skew=a||0;this.classes=l||[];
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g(e){return r[e]}function d(e){return(""+e).replace(c,g)}var n;if(typeof document!=="undefined"){var o=document.createElement("span");if("textContent"in o){n=function(e,t){e.textContent=t}}else{n=function(e,t){e.innerText=t}}}function w(e){n(e,"")}t.exports={contains:l,escape:d,hyphenate:p,indexOf:a,setTextContent:n,clearNode:w}},{}]},{},[12])(12)});
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diff --git a/main.css b/main.css
index be218e178..745f91e26 100644
--- a/main.css
+++ b/main.css
@@ -14,6 +14,20 @@ body {
     overflow: hidden;
 }
 
+.cta {
+    margin: 10px 0;
+    text-align: center;
+}
+
+.cta a {
+    border-radius: 3px;
+    display: inline-block;
+    font-weight: 600;
+    margin: 0 10px;
+    padding: 8px 24px;
+    text-decoration: none;
+}
+
 .header {
     padding: 40px 0 0;
 }
@@ -35,21 +49,13 @@ body {
     font-weight: 600;
 }
 
-.cta {
-    margin: 10px 0;
-    text-align: center;
+.header .cta a {
+    border: 3px solid;
+    color: #fff;
 }
 
-.cta a {
-    background: #329894;
-    border-radius: 3px;
-    border: 3px solid #fff;
-    color: #fff;
-    display: inline-block;
-    font-weight: 600;
-    margin: 0 10px;
-    padding: 8px 24px;
-    text-decoration: none;
+.header .cta a:hover {
+    background: rgba(255, 255, 255, 0.1);
 }
 
 .demo {
@@ -98,7 +104,7 @@ body {
 }
 
 #demo-output {
-    font-size: 20px;
+    font-size: 18px;
     padding: 10px 0;
     overflow: auto;
 }
@@ -108,14 +114,14 @@ body {
     box-shadow: 0 0 10px rgba(0, 0, 0, 0.3);
     min-height: 400px;
     position: relative;
-    padding: 10px 0;
+    padding: 30px 0;
 }
 
 .subtagline {
     color: #329894;
     font-size: 24px;
     font-weight: 600;
-    padding: 30px 0;
+    padding: 10px 0;
     text-align: center;
 }
 
@@ -125,6 +131,19 @@ body {
     margin: 30px 0;
 }
 
+.main .cta {
+    padding-top: 30px;
+}
+
+.main .cta a {
+    border: 3px solid;
+    color: #329894;
+}
+
+.main .cta a:hover {
+    background: rgba(50, 152, 148, 0.1);
+}
+
 .footer {
     padding: 30px 0;
     font-size: 21px;
diff --git a/main.js b/main.js
index 7fcc4d360..d22d1d51a 100644
--- a/main.js
+++ b/main.js
@@ -8,7 +8,7 @@ window.startup = function() {
     var demoOutput = document.getElementById("demo-output");
 
     function doDemo() {
-        katex.process(demoInput.value, demoOutput);
+        katex.process("\\displaystyle " + demoInput.value, demoOutput);
     }
 
     demoInput.addEventListener("input", function() {