/*
 *  /MathJax/jax/output/SVG/jax.js
 *
 *  Copyright (c) 2009-2016 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(h,d,e,a){var g;var f=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var j="http://www.w3.org/1999/xlink";var c=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_ExBox":{display:"block!important",overflow:"hidden",width:"1px",height:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0},".MathJax_SVG_LineBox":{display:"table!important"},".MathJax_SVG_LineBox span":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var m=d.config.menuSettings,l=this.config,k=m.font;if(m.scale){l.scale=m.scale}if(k&&k!=="Auto"){k=k.replace(/(Local|Web|Image)$/i,"");k=k.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=k}else{this.fontInUse=l.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(){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");i.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.ExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=e.Element("span",{className:"MathJax_SVG_LineBox"},[["span"]]);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(q){var p=q.jax[this.id],B,x=p.length,w,E,u,A,s,C,l,D,k,t,r=false,y,o=this.config.linebreaks.automatic,v=this.config.linebreaks.width;if(o){r=(v.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(r){v=v.replace(/\s*container\s*/,"")}else{t=this.defaultWidth}if(v===""){v="100%"}}else{t=100000}for(B=0;B<x;B++){E=p[B];if(!E.parentNode){continue}u=E.previousSibling;if(u&&String(u.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){u.parentNode.removeChild(u)}if(E.MathJax.preview){E.MathJax.preview.style.display="none"}l=E.MathJax.elementJax;if(!l){continue}l.SVG={display:(l.root.Get("display")==="block"),preview:(l.SVG||{}).preview};A=s=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,onkeydown:EVENT.Keydown,tabIndex:d.getTabOrder(l)});if(d.Browser.noContextMenu){A.ontouchstart=TOUCH.start;A.ontouchend=TOUCH.end}if(l.SVG.display){s=e.Element("div",{className:"MathJax_SVG_Display"});s.appendChild(A)}s.className+=" MathJax_SVG_Processing";E.parentNode.insertBefore(s,E);E.parentNode.insertBefore(this.ExSpan.cloneNode(true),E);s.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),s)}var z=[];for(B=0;B<x;B++){E=p[B];if(!E.parentNode){continue}C=E.previousSibling;s=C.previousSibling;l=E.MathJax.elementJax;if(!l){continue}D=C.firstChild.offsetHeight/60;y=Math.max(0,(s.previousSibling.firstChild.offsetWidth-2)/this.config.scale*100);if(D===0||D==="NaN"){z.push(s);l.SVG.isHidden=true;D=this.defaultEx;y=this.defaultWidth}if(r){t=y}l.SVG.ex=D;l.SVG.em=k=D/a.TeX.x_height*1000;l.SVG.cwidth=y/k*1000;l.SVG.lineWidth=(o?this.length2em(v,1,t/k*1000):a.BIGDIMEN)}for(B=0,w=z.length;B<w;B++){this.hiddenDiv.appendChild(z[B]);this.addElement(this.hiddenDiv,"br")}for(B=0;B<x;B++){E=p[B];if(!E.parentNode){continue}C=p[B].previousSibling;A=C.previousSibling;l=p[B].MathJax.elementJax;if(!l){continue}if(!l.SVG.isHidden){A=A.previousSibling}A.parentNode.removeChild(A);C.parentNode.removeChild(C);if(E.MathJax.preview){E.MathJax.preview.style.display=""}}q.SVGeqn=q.SVGlast=0;q.SVGi=-1;q.SVGchunk=this.config.EqnChunk;q.SVGdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.SVGdelay){p.SVGdelay=false;d.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,r,m,q=(a.config.useFontCache&&!a.config.useGlobalCache);if(k.SVG.isHidden){m=document.getElementById(k.inputID+"-Frame");r=(k.SVG.display?m.parentElement:m)}else{r=l.previousSibling;m=(k.SVG.display?(r||{}).firstChild||r:r)}if(!r){return}this.em=g.mbase.prototype.em=k.SVG.em;this.ex=k.SVG.ex;this.linebreakWidth=k.SVG.lineWidth;this.cwidth=k.SVG.cwidth;this.mathDiv=r;m.appendChild(this.textSVG);if(q){a.resetGlyphs()}this.initSVG(o,m);o.setTeXclass();try{o.toSVG(m,r)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}if(q){i.GLYPH.n--}throw n}m.removeChild(this.textSVG);if(k.SVG.isHidden){l.parentNode.insertBefore(r,l)}r.className=r.className.split(/ /)[0];if(this.hideProcessedMath){r.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,true);p.SVGchunk=Math.floor(p.SVGchunk*this.config.EqnChunkFactor);p.SVGdelay=true}}},postTranslate:function(r,o){var l=r.jax[this.id];if(!this.hideProcessedMath){return}for(var p=r.SVGlast,k=r.SVGeqn;p<k;p++){var n=l[p];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var q=n.MathJax.elementJax.SVG;if(q.preview){q.preview.innerHTML="";q.preview.style.display="none";n.MathJax.preview=q.preview;delete q.preview}}}r.SVGlast=r.SVGeqn},resetGlyphs:function(l){if(this.config.useFontCache){var k=i.GLYPH;if(this.config.useGlobalCache){k.defs=document.getElementById("MathJax_SVG_glyphs");k.defs.innerHTML=""}else{k.defs=this.Element("defs");k.n++}k.glyphs={};if(l){k.n=0}}},hashCheck:function(k){if(k&&k.nodeName.toLowerCase()==="g"){do{k=k.parentNode}while(k&&k.firstChild.nodeName!=="svg")}return k},getJaxFromMath:function(k){if(k.parentNode.className.match(/MathJax_SVG_Display/)){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return d.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,u,t,k,r){u.className="MathJax_SVG";var w=u.appendChild(this.ExSpan.cloneNode(true));var q=w.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=q/a.TeX.x_height*1000;this.ex=q;this.linebreakWidth=l.SVG.lineWidth;this.cwidth=l.SVG.cwidth;w.parentNode.removeChild(w);u.appendChild(this.textSVG);this.mathDIV=u;this.zoomScale=parseInt(d.config.menuSettings.zscale)/100;var p=l.root.data[0].SVGdata.tw;if(p&&p<this.cwidth){this.cwidth=p}this.idPostfix="-zoom";l.root.toSVG(u,u);this.idPostfix="";this.zoomScale=1;u.removeChild(this.textSVG);var o=u.getElementsByTagName("svg")[0].style;o.marginTop=o.marginRight=o.marginLeft=0;if(o.marginBottom.charAt(0)==="-"){u.style.marginBottom=o.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){u.firstChild.style.border="1px solid transparent"},1)}if(u.offsetWidth<u.firstChild.offsetWidth){u.style.minWidth=u.firstChild.offsetWidth+"px";t.style.minWidth=t.firstChild.offsetWidth+"px"}u.style.position=t.style.position="absolute";var s=u.offsetWidth,n=u.offsetHeight,v=t.offsetHeight,m=t.offsetWidth;u.style.position=t.style.position="";return{Y:-EVENT.getBBox(u).h,mW:m,mH:v,zW:s,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"0"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(k){k=k/this.TeX.x_height;if(Math.abs(k)<0.0006){return"0"}return k.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(k,l){if(Math.abs(k)<0.0006){return"0"}return k.toFixed(l||3).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 r=(this.zoomScale||1)/a.em;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*r}if(p==="pt"){return k/10}if(p==="pc"){return k*1.2}if(p==="in"){return k*this.pxPerInch*r}if(p==="cm"){return k*this.pxPerInch*r/2.54}if(p==="mm"){return k*this.pxPerInch*r/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["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[k+"Style"];if(n&&n!=="none"){l=true;m[p]=this.length2em(o[k+"Width"]);m[p+"Style"]=o[k+"Style"];m[p+"Color"]=o[k+"Color"];if(m[p+"Color"]==="initial"){m[p+"Color"]=""}}else{delete m[p]}}}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,B){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){B=i.TEXT(r,B,s.font);if(s.h!=null){B.h=s.h}if(s.d!=null){B.d=s.d}v.Add(B);B=""}A=s;for(t=0,q=B.length;t<q;t++){s=A;o=B.charCodeAt(t);z=B.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(B.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]){o=s.remap[o];if(s.remap.variant){s=this.FONTDATA.VARIANT[s.remap.variant]}}else{if(this.FONTDATA.REMAP[o]&&!s.noRemap){o=this.FONTDATA.REMAP[o]}}if(f(o)){s=this.FONTDATA.VARIANT[o[1]];o=o[0]}if(typeof(o)==="string"){B=o+B.substr(t+1);q=B.length;t=-1;continue}p=this.lookupChar(s,o);z=p[o];if(z){if((z[5]&&z[5].space)||(z[5]===""&&z[0]+z[1]===0)){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*100/a.config.scale,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);d.signal.Post(["SVG Jax - unknown char",o,s])}}}if(B.length==1&&p.skew&&p.skew[o]){v.skew=p.skew[o]*1000}if(v.element.childNodes.length===1&&!v.element.firstChild.getAttribute("x")){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){d.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){d.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 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E=this.SVG(),M=this.SVGgetScale(E);this.SVGhandleSpace(E);var G=this.SVGgetMu(E);var m=E.Add(this.SVGdataStretched(this.base,I,B));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var K=a.TeX.x_height*M,A=a.TeX.scriptspace*M;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=A;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=A;n.r=Math.max(n.w,n.r)}var F=a.TeX.sup_drop*l,C=a.TeX.sub_drop*l;var y=m.h+(m.y||0)-F,w=m.d-(m.y||0)+C,L=0,H;if(m.ic){m.w-=m.ic;L=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")){y=w=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:a.length2em(J.subscriptshift,G));J.superscriptshift=(J.superscriptshift===""?0:a.length2em(J.superscriptshift,G));var o=m.w+m.x;if(!k){if(n){w=Math.max(w,a.TeX.sub1*M,n.h-(4/5)*K,J.subscriptshift);E.Add(n,o,-w);this.data[this.sub].SVGdata.dy=-w}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");H=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];y=Math.max(y,H*M,k.d+(1/4)*K,J.superscriptshift);E.Add(k,o+L,y);this.data[this.sup].SVGdata.dx=L;this.data[this.sup].SVGdata.dy=y}else{w=Math.max(w,a.TeX.sub2*M);var z=a.TeX.rule_thickness*M;if((y-k.d)-(n.h-w)<3*z){w=3*z-y+k.d+n.h;F=(4/5)*K-(y-k.d);if(F>0){y+=F;w-=F}}E.Add(k,o+L,Math.max(y,J.superscriptshift));E.Add(n,o,-Math.max(w,J.subscriptshift));this.data[this.sup].SVGdata.dx=L;this.data[this.sup].SVGdata.dy=Math.max(y,J.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(w,J.subscriptshift)}}E.Clean();this.SVGhandleColor(E);this.SVGsaveData(E);return E}});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(z,n){var C=a.config;if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=d.config.displayAlign;g.mbase.prototype.displayIndent=d.config.displayIndent;if(String(d.config.displayIndent).match(/^0($|[a-z%])/i)){g.mbase.prototype.displayIndent="0"}var t=i.G();t.Add(this.data[0].toSVG(),0,0,true);t.Clean();this.SVGhandleColor(t);a.Element(t.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});t.removeable=false;var u=this.SVG();u.element.setAttribute("xmlns:xlink",j);if(C.useFontCache&&!C.useGlobalCache){u.element.appendChild(i.GLYPH.defs)}u.Add(t);u.Clean();this.SVGsaveData(u);if(!z){u.element=u.element.firstChild;u.element.removeAttribute("transform");u.removable=true;return u}var s=Math.max(-u.l,0),m=Math.max(u.r-u.w,0);var o=u.element.style,y=a.TeX.x_height/a.ex;var B=(Math.ceil(u.H/y)+1)*y+a.HFUZZ,k=(Math.ceil(u.D/y)+1)*y+a.DFUZZ;var x=s+u.w+m;u.element.setAttribute("width",a.Ex(x));u.element.setAttribute("height",a.Ex(B+k));o.verticalAlign=a.Ex(-k);if(s){o.marginLeft=a.Ex(-s)}if(m){o.marginRight=a.Ex(-m)}u.element.setAttribute("viewBox",a.Fixed(-s,1)+" "+a.Fixed(-B,1)+" "+a.Fixed(x,1)+" "+a.Fixed(B+k,1));if(u.H>u.h){o.marginTop=a.Ex(u.h-B)}if(u.D>u.d){o.marginBottom=a.Ex(u.d-k);o.verticalAlign=a.Ex(-u.d)}if(Math.abs(x-a.cwidth)<10){o.maxWidth=a.Fixed(a.cwidth*a.em/1000)}var v=this.Get("alttext");if(v&&!u.element.getAttribute("aria-label")){u.element.setAttribute("aria-label",v)}if(!u.element.getAttribute("role")){u.element.setAttribute("role","img")}u.element.setAttribute("focusable","false");z.appendChild(u.element);u.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!u.hasIndent){var A=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(A.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){A.indentalign=A.indentalignfirst}if(A.indentalign===g.INDENTALIGN.AUTO){A.indentalign=this.displayAlign}if(A.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){A.indentshift=A.indentshiftfirst}if(A.indentshift==="auto"){A.indentshift="0"}var p=a.length2em(A.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var q=a.length2em(this.displayIndent,1,a.cwidth);p+=(A.indentalign===g.INDENTALIGN.RIGHT?-q:q)}n.style.textAlign=A.indentalign;if(p){d.Insert(o,({left:{marginLeft:a.Ex(p)},right:{marginRight:a.Ex(-p),marginLeft:a.Ex(Math.max(0,p-x))},center:{marginLeft:a.Ex(p),marginRight:a.Ex(-p)}})[A.indentalign])}}}return z}});g.TeXAtom.Augment({toSVG:function(k,n){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);if(this.data[0]!=null){var m=this.SVGdataStretched(0,k,n),o=0;if(this.texClass===g.TEXCLASS.VCENTER){o=a.TeX.axis_height-(m.h+m.d)/2+m.d}l.Add(m,0,o);l.ic=m.ic;l.skew=m.skew}this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.maligngroup.Augment({toSVG:g.mbase.SVGemptySVG});g.malignmark.Augment({toSVG:g.mbase.SVGemptySVG});g.mprescripts.Augment({toSVG:g.mbase.SVGemptySVG});g.none.Augment({toSVG:g.mbase.SVGemptySVG});d.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});d.Browser.Select({Opera:function(k){a.Augment({operaZoomRefresh:true})}});d.Register.StartupHook("End Cookie",function(){if(d.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);
