1/* 2 * /MathJax-v2/jax/output/SVG/jax.js 3 * 4 * Copyright (c) 2009-2018 The MathJax Consortium 5 * 6 * Licensed under the Apache License, Version 2.0 (the "License"); 7 * you may not use this file except in compliance with the License. 8 * You may obtain a copy of the License at 9 * 10 * http://www.apache.org/licenses/LICENSE-2.0 11 * 12 * Unless required by applicable law or agreed to in writing, software 13 * distributed under the License is distributed on an "AS IS" BASIS, 14 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 15 * See the License for the specific language governing permissions and 16 * limitations under the License. 17 */ 18 19(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 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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)?( 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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 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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 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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 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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=" 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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 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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)+" 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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); 20