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Stackedit/lib/MathJax/jax/output/SVG/jax.js
benweet a2803e81e8 MathJax upgrade to 2.2
2013-05-20 23:03:55 +01:00

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/*
* /MathJax/jax/output/SVG/jax.js
*
* Copyright (c) 2009-2013 The MathJax Consortium
*
* Part of the MathJax library.
* See http://www.mathjax.org for details.
*
* Licensed under the Apache License, Version 2.0;
* you may not use this file except in compliance with the License.
*
* http://www.apache.org/licenses/LICENSE-2.0
*/
(function(h,c,e,a){var g;var b="http://www.w3.org/2000/svg";var j="http://www.w3.org/1999/xlink";a.Augment({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",border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block",width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".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"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,Config:function(){var k=c.config.menuSettings;if(k.scale){this.config.scale=k.scale}this.SUPER(arguments).Config.apply(this,arguments);this.fontInUse=this.config.font;this.fontDir+="/"+this.config.font;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){EVENT=MathJax.Extension.MathEvents.Event;TOUCH=MathJax.Extension.MathEvents.Touch;HOVER=MathJax.Extension.MathEvents.Hover;this.ContextMenu=EVENT.ContextMenu;this.Mousedown=EVENT.AltContextMenu;this.Mouseover=HOVER.Mouseover;this.Mouseout=HOVER.Mouseout;this.Mousemove=HOVER.Mousemove;this.hiddenDiv=e.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=e.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var k=e.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.textSVG=this.Element("svg");d=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});f={};this.ExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=e.Element("span",null,[["hr",{style:{width:"auto",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){document.body.appendChild(this.ExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.ExSpan.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.ExSpan)},preTranslate:function(o){var t=o.jax[this.id],u,r=t.length,z,s,A,n,y,l,x,q,k,w=false,v,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}s=z.previousSibling;if(s&&String(s.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Processing)?$/)){s.parentNode.removeChild(s)}l=z.MathJax.elementJax;if(!l){continue}l.SVG={display:(l.root.Get("display")==="block")};A=n=e.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:EVENT.Menu,onmousedown:EVENT.Mousedown,onmouseover:EVENT.Mouseover,onmouseout:EVENT.Mouseout,onmousemove:EVENT.Mousemove,onclick:EVENT.Click,ondblclick:EVENT.DblClick});if(c.Browser.noContextMenu){A.ontouchstart=TOUCH.start;A.ontouchend=TOUCH.end}if(l.SVG.display){n=e.Element("div",{className:"MathJax_SVG_Display"});n.appendChild(A)}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_SVG_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.ExSpan.cloneNode(true),z);n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;v=n.previousSibling.firstChild.offsetWidth;if(w){k=v}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.SVG.isHidden=true;x=this.defaultEx;v=this.defaultWidth;if(w){k=this.defaultWidth}}l.SVG.ex=x;l.SVG.cwidth=v;l.SVG.em=q=x/a.TeX.x_height*1000;l.SVG.lineWidth=(B?this.length2em(p,1,k/q):1000000)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=t[u].previousSibling;A=y.previousSibling;l=t[u].MathJax.elementJax;if(!l){continue}if(!l.SVG.isHidden){A=A.previousSibling}A.parentNode.removeChild(A);y.parentNode.removeChild(y)}o.SVGeqn=o.SVGlast=0;o.SVGi=-1;o.SVGchunk=this.config.EqnChunk;o.SVGdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.SVGdelay){p.SVGdelay=false;c.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.SVG.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.SVG.em;this.ex=k.SVG.ex;this.linebreakWidth=k.SVG.lineWidth*1000;this.cwidth=k.SVG.cwidth;this.mathDiv=q;m.appendChild(this.textSVG);this.initSVG(o,m);o.setTeXclass();try{o.toSVG(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}m.removeChild(this.textSVG);if(k.SVG.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_SVG_Processed";if(l.MathJax.preview){k.SVG.preview=l.MathJax.preview;delete l.MathJax.preview}p.SVGeqn+=(p.i-p.SVGi);p.SVGi=p.i;if(p.SVGeqn>=p.SVGlast+p.SVGchunk){this.postTranslate(p);p.SVGchunk=Math.floor(p.SVGchunk*this.config.EqnChunkFactor);p.SVGdelay=true}}},postTranslate:function(q){var l=q.jax[this.id];if(!this.hideProcessedMath){return}for(var o=q.SVGlast,k=q.SVGeqn;o<k;o++){var n=l[o];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var p=n.MathJax.elementJax.SVG;if(p.preview){p.preview.innerHTML="";n.MathJax.preview=p.preview;delete p.preview}}}q.SVGlast=q.SVGeqn},hashCheck:function(k){if(k&&k.nodeName==="g"){do{k=k.parentNode}while(k&&k.firstChild.nodeName!=="svg")}return k},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_SVG_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return c.getJaxFor(k)},getHoverSpan:function(k,l){l.style.position="relative";return l.firstChild},getHoverBBox:function(k,l,m){var n=EVENT.getBBox(l.parentNode);n.h+=2;n.d-=2;return n},Zoom:function(l,s,q,k,p){s.className="MathJax_SVG";var u=s.appendChild(this.ExSpan.cloneNode(true));var o=u.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o/a.TeX.x_height*1000;this.cwidth=0.85*a.defaultWidth;u.parentNode.removeChild(u);s.appendChild(this.textSVG);this.mathDIV=s;this.idPostfix="-zoom";l.root.toSVG(s,s);this.idPostfix="";s.removeChild(this.textSVG);if(this.operaZoomRefresh){setTimeout(function(){s.firstChild.style.border="1px solid transparent"},1)}s.style.position=q.style.position="absolute";var r=s.offsetWidth,n=s.offsetHeight,t=q.offsetHeight,m=q.offsetWidth;s.style.position=q.style.position="";return{Y:-EVENT.getBBox(s).h,mW:m,mH:t,zW:r,zH:n}},initSVG:function(l,k){},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.SVG.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.SVG},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(k){k=Math.round(k/this.TeX.x_height*this.ex)/this.ex;if(Math.abs(k)<0.0006){return"0ex"}return k.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,l,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===g.SIZE.NORMAL){return 1000}if(q===g.SIZE.BIG){return 2000}if(q===g.SIZE.SMALL){return 710}if(q==="infinity"){return a.BIGDIMEN}if(q.match(/mathspace$/)){return 1000*a.MATHSPACE[q]}var n=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1")*1000,p=n[2];if(o==null){o=1000}if(l==null){l=1}if(p==="em"){return k}if(p==="ex"){return k*a.TeX.x_height/1000}if(p==="%"){return k/100*o/1000}if(p==="px"){return k/a.em}if(p==="pt"){return k/10}if(p==="pc"){return k*1.2}if(p==="in"){return k*this.pxPerInch/a.em}if(p==="cm"){return k*this.pxPerInch/a.em/2.54}if(p==="mm"){return k*this.pxPerInch/a.em/25.4}if(p==="mu"){return k/18*l}return k*o/1000},thickness2em:function(l,k){var m=a.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(o){var m={top:0,right:0,bottom:0,left:0},l=false;for(var p in m){if(m.hasOwnProperty(p)){var k="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[k+"Style"];if(n){l=true;m[p]=this.length2em(o.style[k+"Width"]);m[p+"Style"]=o.style[k+"Style"];m[p+"Color"]=o.style[k+"Color"];if(m[p+"Color"]==="initial"){m[p+"Color"]=""}}}}return(l?m:false)},Element:function(k,l){var m=(typeof(k)==="string"?document.createElementNS(b,k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m},addElement:function(l,k,m){return l.appendChild(this.Element(k,m))},TextNode:e.TextNode,addText:e.addText,ucMatch:e.ucMatch,HandleVariant:function(s,r,C){var v=i.G();var o,x,z,p,A,t,q,l,y,k;if(!s){s=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}if(s.forceFamily){C=i.TEXT(r,C,s.font);if(s.h!=null){C.h=s.h}if(s.d!=null){C.d=s.d}v.Add(C);C=""}A=s;for(t=0,q=C.length;t<q;t++){s=A;o=C.charCodeAt(t);z=C.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(C.charCodeAt(t)-56320))+65536;if(this.FONTDATA.RemapPlane1){var w=this.FONTDATA.RemapPlane1(o,s);o=w.n;s=w.variant}}else{k=this.FONTDATA.RANGES;for(l=0,y=k.length;l<y;l++){if(k[l].name==="alpha"&&s.noLowerCase){continue}x=s["offset"+k[l].offset];if(x&&o>=k[l].low&&o<=k[l].high){if(k[l].remap&&k[l].remap[o]){o=x+k[l].remap[o]}else{o=o-k[l].low+x;if(k[l].add){o+=k[l].add}}if(s["variant"+k[l].offset]){s=this.FONTDATA.VARIANT[s["variant"+k[l].offset]]}break}}}if(s.remap&&s.remap[o]){if(s.remap[o] instanceof Array){var B=s.remap[o];o=B[0];s=this.FONTDATA.VARIANT[B[1]]}else{if(typeof(s.remap[o])==="string"){C=s.remap[o]+C.substr(t+1);t=0;q=C.length;o=C.charCodeAt(0)}else{o=s.remap[o];if(s.remap.variant){s=this.FONTDATA.VARIANT[s.remap.variant]}}}}if(this.FONTDATA.REMAP[o]&&!s.noRemap){o=this.FONTDATA.REMAP[o];if(o instanceof Array){s=this.FONTDATA.VARIANT[o[1]];o=o[0]}if(typeof(o)==="string"){C=o+C.substr(t+1);t=0;q=C.length;o=o.charCodeAt(0)}}p=this.lookupChar(s,o);z=p[o];if(z){if(z[5]&&z[5].space){v.w+=z[2]}else{z=[r,p.id+"-"+o.toString(16).toUpperCase()].concat(z);v.Add(i.GLYPH.apply(i,z),v.w,0)}}else{if(this.FONTDATA.DELIMITERS[o]){z=this.createDelimiter(o,0,1,p);v.Add(z,v.w,(this.FONTDATA.DELIMITERS[o].dir==="V"?z.d:0))}else{if(o<=65535){z=String.fromCharCode(o)}else{x=o-65536;z=String.fromCharCode((x>>10)+55296)+String.fromCharCode((x&1023)+56320)}var u=i.TEXT(r,z,{"font-family":s.defaultFamily||a.config.undefinedFamily,"font-style":(s.italic?"italic":""),"font-weight":(s.bold?"bold":"")});if(s.h!=null){u.h=s.h}if(s.d!=null){u.d=s.d}z=i.G();z.Add(u);v.Add(z,v.w,0);c.signal.Post(["SVG Jax - unknown char",o,s])}}}if(C.length==1&&p.skew&&p.skew[o]){v.skew=p.skew[o]*1000}if(v.element.childNodes.length===1){v.element=v.element.firstChild;v.removeable=false;v.scale=r}return v},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]])}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){return l}else{this.findBlock(l,s)}}return{id:"unknown"}},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){c.RestartAfter(h.Require(this.fontDir+"/"+k))},createDelimiter:function(k,n,q,o){if(!q){q=1}var s=i.G();if(!k){s.Clean();delete s.element;s.w=s.r=this.TeX.nulldelimiterspace*q;return s}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){c.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var r=0,p=l.HW.length;r<p;r++){if(l.HW[r][0]*q>=n-10-a.config.blacker||(r==p-1&&!l.stretch)){if(l.HW[r][2]){q*=l.HW[r][2]}if(l.HW[r][3]){k=l.HW[r][3]}return this.createChar(q,[k,l.HW[r][1]],o).With({stretched:true})}}if(l.stretch){this["extendDelimiter"+l.dir](s,t,l.stretch,q,o)}return s},createChar:function(s,q,n){var r="",p={fonts:[q[1]],noRemap:true};if(n&&n===g.VARIANT.BOLD){p.fonts=[q[1]+"-bold",q[1]]}if(typeof(q[1])!=="string"){p=q[1]}if(q[0] instanceof Array){for(var o=0,k=q[0].length;o<k;o++){r+=String.fromCharCode(q[0][o])}}else{r=String.fromCharCode(q[0])}if(q[4]){s=s*q[4]}var l=this.HandleVariant(p,s,r);if(q[2]){l.x=q[2]*1000}if(q[3]){l.y=q[3]*1000}if(q[5]){l.h+=q[5]*1000}if(q[6]){l.d+=q[6]*1000}return l},extendDelimiterV:function(r,A,m,o,n){var x=this.createChar(o,(m.top||m.ext),n);var u=this.createChar(o,(m.bot||m.ext),n);var q=x.h+x.d+u.h+u.d;var w=-x.h;r.Add(x,0,w);w-=x.d;if(m.mid){var z=this.createChar(o,m.mid,n);q+=z.h+z.d}if(m.min&&A<q*m.min){A=q*m.min}if(A>q){var l=this.createChar(o,m.ext,n);var p=(m.mid?2:1),v=(A-q)/p,B=(v+100)/(l.h+l.d);while(p-->0){var t=a.Element("g",{transform:"translate("+l.y+","+(w-B*l.h+50+l.y)+") scale(1,"+B+")"});t.appendChild(l.element.cloneNode(false));r.element.appendChild(t);w-=v;if(m.mid&&p){r.Add(z,0,w-z.h);w-=(z.h+z.d)}}}else{if(m.mid){w+=(q-A)/2;r.Add(z,0,w-z.h);w+=-(z.h+z.d)+(q-A)/2}else{w+=(q-A)}}r.Add(u,0,w-u.h);r.Clean();r.scale=o;r.isMultiChar=true},extendDelimiterH:function(t,o,m,q,n){var p=this.createChar(q,(m.left||m.rep),n);var C=this.createChar(q,(m.right||m.rep),n);t.Add(p,-p.l,0);var B=(p.r-p.l)+(C.r-C.l),z=p.r-p.l;if(m.mid){var A=this.createChar(q,m.mid,n);B+=A.w}if(m.min&&o<B*m.min){o=B*m.min}if(o>B){var y=this.createChar(q,m.rep,n),l=m.fuzz||0;var r=(m.mid?2:1),v=(o-B)/r,D=(v+l)/(y.r-y.l);while(r-->0){var u=a.Element("g",{transform:"translate("+(z-l/2-D*y.l+y.x)+","+y.y+") 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i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){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,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var 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m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}m.maxsize=a.length2em(m.maxsize,k,n.w);m.minsize=a.length2em(m.minsize,k,n.w);l=Math.max(m.minsize,Math.min(m.maxsize,l));n=a.createDelimiter(this.data.join("").charCodeAt(0),l,n.scale,m.mathvariant);this.SVGhandleSpace(n);this.SVGhandleColor(n);delete this.svg.element;this.SVGsaveData(n);return n}});g.mtext.Augment({toSVG:function(){this.SVGgetStyles();var k,o,n=this.SVGgetScale();if(this.Parent().type==="merror"){k=this.SVG();this.SVGhandleSpace(k);o=i.G();o.Add(i.TEXT(0.9*n,this.data.join(""),{fill:"#C00"}));k.Add(i.RECT(o.h+100,o.d+100,o.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0);k.Add(o,150,0);k.H+=150;k.D+=50;k.Clean();this.SVGsaveData(k);return k}else{if(a.config.mtextFontInherit){k=this.SVG();this.SVGhandleSpace(k);var l=this.SVGgetVariant(),m={};if(l.bold){m["font-weight"]="bold"}if(l.italic){m["font-style"]="italic"}k.Add(i.TEXT(n,this.data.join(""),m));k.Clean();this.SVGhandleColor(k);this.SVGsaveData(k);return k}else{return this.SUPER(arguments).toSVG.call(this)}}}});g.ms.Augment({toSVG:g.mbase.SVGautoload});g.mglyph.Augment({toSVG:g.mbase.SVGautoload});g.mspace.Augment({toSVG:function(){this.SVGgetStyles();var m=this.getValues("height","depth","width");m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var l=this.SVG(),k=this.SVGgetMu(l);l.h=a.length2em(m.height,k)/l.scale;l.d=a.length2em(m.depth,k)/l.scale;l.w=l.r=a.length2em(m.width,k)/l.scale;if(l.w<0){l.x=l.w;l.w=l.r=0}if(l.h<-l.d){l.d=-l.h}l.l=0;l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.mphantom.Augment({toSVG:function(k,m){this.SVGgetStyles();var l=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(l);l.Add(this.SVGdataStretched(0,k,m));l.Clean();while(l.element.firstChild){l.element.removeChild(l.element.firstChild)}}this.SVGhandleColor(l);this.SVGsaveData(l);if(l.removeable&&!l.element.firstChild){delete l.element}return l}});g.mpadded.Augment({toSVG:function(l,k){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var m=this.SVGdataStretched(0,l,k),u=this.SVGgetMu(o);var t=this.getValues("height","depth","width","lspace","voffset"),r=0,q=0;if(t.lspace){r=this.SVGlength2em(m,t.lspace,u)}if(t.voffset){q=this.SVGlength2em(m,t.voffset,u)}var n=m.h,p=m.d,s=m.w;o.Add(m,r,q);o.Clean();o.h=n;o.d=p;o.w=s;o.removeable=false;if(t.height!==""){o.h=this.SVGlength2em(o,t.height,u,"h",0)}if(t.depth!==""){o.d=this.SVGlength2em(o,t.depth,u,"d",0)}if(t.width!==""){o.w=this.SVGlength2em(o,t.width,u,"w",0)}if(o.h>o.H){o.H=o.h}if(o.d>o.D){o.D=o.d}}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlength2em:function(o,r,l,s,k){if(k==null){k=-a.BIGDIMEN}var p=String(r).match(/width|height|depth/);var q=(p?o[p[0].charAt(0)]:(s?o[s]:0));var n=a.length2em(r,l,q);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,o[s]+n)}else{return n}}});g.mrow.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){l.Check(this.data[n])}}l.Stretch();l.Clean();if(this.SVGlineBreaks(l)){l=this.SVGmultiline(l)}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&k.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(k){g.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(k){var l=this.data[this.core].SVGstretchH(k);this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGstretchV:function(l,m){var k=this.data[this.core].SVGstretchV(l,m);this.SVGhandleColor(k);this.SVGsaveData(k);return k}});g.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);var l=k.Add(this.data[0].toSVG());k.Clean();if(l.ic){k.ic=l.ic}this.SVGhandleColor(k)}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var w=this.SVG();this.SVGhandleSpace(w);var s=this.SVGchildSVG(0),y=this.SVGchildSVG(1);var C=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var r=w.scale=this.SVGgetScale(),n=C.displaystyle;var x=a.TeX.axis_height*r;if(C.bevelled){var B=(n?400:150);var A=Math.max(s.h+s.d,y.h+y.d)+2*B;var F=a.createDelimiter(47,A);w.Add(s,0,(s.d-s.h)/2+x+B);w.Add(F,s.w-B/2,(F.d-F.h)/2+x);w.Add(y,s.w+F.w-B,(y.d-y.h)/2+x-B)}else{var o=Math.max(s.w,y.w);var E=a.thickness2em(C.linethickness,r),m,l,D,z;var k=a.TeX.min_rule_thickness/a.em*1000;if(n){D=a.TeX.num1;z=a.TeX.denom1}else{D=(E===0?a.TeX.num3:a.TeX.num2);z=a.TeX.denom2}D*=r;z*=r;if(E===0){m=Math.max((n?7:3)*a.TeX.rule_thickness,2*k);l=(D-s.d)-(y.h-z);if(l<m){D+=(m-l)/2;z+=(m-l)/2}w.w=o;E=0}else{m=Math.max((n?2:0)*k+E,E/2+1.5*k);l=(D-s.d)-(x+E/2);if(l<m){D+=m-l}l=(x-E/2)-(y.h-z);if(l<m){z+=m-l}w.Add(i.RECT(E/2,E/2,o+2*E),0,x)}w.Align(s,C.numalign,E,D);w.Align(y,C.denomalign,E,-z)}w.Clean();this.SVGhandleColor(w);this.SVGsaveData(w);return w},SVGcanStretch:function(k){return false},SVGhandleSpace:function(k){if(!this.texWithDelims){k.x=(this.useMMLspacing?0:a.length2em(this.texSpacing()||0))+120;k.X=120}}});g.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var r=this.SVG();this.SVGhandleSpace(r);var m=this.SVGchildSVG(0),s,o;var n=this.SVGgetScale();var w=a.TeX.rule_thickness*n,l,k,v,u=0;if(this.Get("displaystyle")){l=a.TeX.x_height*n}else{l=w}k=Math.max(w+l/4,1000*a.TeX.min_root_space/a.em);v=m.h+m.d+k+w;o=a.createDelimiter(8730,v,n);if(o.h+o.d>v){k=((o.h+o.d)-(v-w))/2}s=i.RECT(w,0,m.w);v=m.h+k+w;u=this.SVGaddRoot(r,o,u,o.h+o.d-v,n);r.Add(o,u,v-o.h);r.Add(s,u+o.w,v-s.h);r.Add(m,u+o.w,0);r.Clean();r.h+=w;r.H+=w;this.SVGhandleColor(r);this.SVGsaveData(r);return r},SVGaddRoot:function(l,m,k,o,n){return k}});g.mroot.Augment({toSVG:g.msqrt.prototype.toSVG,SVGaddRoot:function(n,l,q,o,k){var s=(l.isMultiChar?0.55:0.65)*l.w;if(this.data[1]){var p=this.data[1].toSVG();p.x=0;var m=this.SVGrootHeight(l.h+l.d,k,p)-o;var r=Math.min(p.w,p.r);q=Math.max(r,s);n.Add(p,q-r,m)}else{s=q}return q-s},SVGrootHeight:function(m,l,k){return 0.45*(m-900*l)+600*l+Math.max(0,k.d-75)}});g.mfenced.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);if(this.data.open){l.Check(this.data.open)}if(this.data[0]!=null){l.Check(this.data[0])}for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){if(this.data["sep"+n]){l.Check(this.data["sep"+n])}l.Check(this.data[n])}}if(this.data.close){l.Check(this.data.close)}l.Stretch();l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.menclose.Augment({toSVG:g.mbase.SVGautoload});g.maction.Augment({toSVG:g.mbase.SVGautoload});g.semantics.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);k.Add(this.data[0].toSVG());k.Clean()}else{k.Clean()}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.munderover.Augment({toSVG:function(F,C){this.SVGgetStyles();var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toSVG.call(this)}var E=this.SVG();this.SVGhandleSpace(E);var M=E.scale=this.SVGgetScale();var p=[],K=[],u,J,G,n=-a.BIGDIMEN,I=n;for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){if(J==this.base){p[J]=this.SVGdataStretched(J,F,C);K[J]=(C!=null||F==null)&&this.data[J].SVGcanStretch("Horizontal")}else{p[J]=this.data[J].toSVG();K[J]=this.data[J].SVGcanStretch("Horizontal")}if(p[J].w>I){I=p[J].w}if(!K[J]&&I>n){n=I}}}if(C==null&&F!=null){n=F}else{if(n==-a.BIGDIMEN){n=I}}for(J=I=0,G=this.data.length;J<G;J++){if(this.data[J]){if(K[J]){p[J]=this.data[J].SVGstretchH(n)}if(p[J].w>I){I=p[J].w}}}var B=a.TeX.rule_thickness;var o=p[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,scale:M};var s,q,w,v,r,A,H,L=0;if(o.ic){L=1.3*o.ic+0.05}for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){u=p[J];r=a.TeX.big_op_spacing5*M;var z=(J!=this.base&&l[this.ACCENTS[J]]);if(z&&u.w<=1){u.x=-u.l;p[J]=i.G().With({removeable:false});p[J].Add(u);p[J].Clean();p[J].w=-u.l;u=p[J]}A={left:0,center:(I-u.w)/2,right:I-u.w}[l.align];s=A;q=0;if(J==this.over){if(z){H=B*M;r=0;if(o.skew){s+=o.skew}}else{w=a.TeX.big_op_spacing1*M;v=a.TeX.big_op_spacing3*M;H=Math.max(w,v-Math.max(0,u.d))}H=Math.max(H,1500/a.em);s+=L/2;q=o.h+u.d+H;u.h+=r;if(u.h>u.H){u.H=u.h}}else{if(J==this.under){if(z){H=3*B*M;r=0}else{w=a.TeX.big_op_spacing2*M;v=a.TeX.big_op_spacing4*M;H=Math.max(w,v-u.h)}H=Math.max(H,1500/a.em);s-=L/2;q=-(o.d+u.h+H);u.d+=r;if(u.d>u.D){u.D=u.d}}}E.Add(u,s,q)}}E.Clean();this.SVGhandleColor(E);this.SVGsaveData(E);return E}});g.msubsup.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG();this.SVGhandleSpace(B);var K=B.scale=this.SVGgetScale(),E=this.SVGgetMu(B);var m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h+(m.y||0)-C,o=m.d-(m.y||0)+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:a.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:a.length2em(H.superscriptshift,E));if(!k){if(n){o=Math.max(o,a.TeX.sub1*K,n.h-(4/5)*I,H.subscriptshift);B.Add(n,m.w,-o);this.data[this.sub].SVGdata.dy=-o}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");F=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];w=Math.max(w,F*K,k.d+(1/4)*I,H.superscriptshift);B.Add(k,m.w+J,w);this.data[this.sup].SVGdata.dx=J;this.data[this.sup].SVGdata.dy=w}else{o=Math.max(o,a.TeX.sub2*K);var x=a.TeX.rule_thickness*K;if((w-k.d)-(n.h-o)<3*x){o=3*x-w+k.d+n.h;C=(4/5)*I-(w-k.d);if(C>0){w+=C;o-=C}}B.Add(k,m.w+J,Math.max(w,H.superscriptshift));B.Add(n,m.w,-Math.max(o,H.subscriptshift));this.data[this.sup].SVGdata.dx=J;this.data[this.sup].SVGdata.dy=Math.max(w,H.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(o,H.subscriptshift)}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B}});g.mmultiscripts.Augment({toSVG:g.mbase.SVGautoload});g.mtable.Augment({toSVG:g.mbase.SVGautoload});g["annotation-xml"].Augment({toSVG:g.mbase.SVGautoload});g.math.Augment({SVG:i.Subclass({type:"svg",removeable:false}),toSVG:function(t,m){if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=c.config.displayAlign;g.mbase.prototype.displayIndent=c.config.displayIndent;var q=i.G({stroke:"black",fill:"black","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:false});q.Add(this.data[0].toSVG(),0,0,true);q.Clean();this.SVGhandleColor(q);var s=this.SVG();s.element.setAttribute("xmlns:xlink",j);s.Add(q);s.Clean();this.SVGsaveData(s);var p=Math.max(-s.l,0),k=Math.max(s.r-s.w,0);var n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D+2*a.em);n.verticalAlign=a.Ex(-s.D-3*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H-a.em)+" "+(p+s.w+k)+" "+(s.H+s.D+2*a.em));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign=n.margin="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER&&!s.hasIndent){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Browser.Select({Opera:function(k){a.Augment({operaZoomRefresh:true})}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
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