discourse-math/public/mathjax/jax/output/SVG/jax.js

/*
 *  /MathJax/jax/output/SVG/jax.js
 *
 *  Copyright (c) 2009-2018 The MathJax Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 */

(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);