/*
 *  /MathJax/jax/output/HTML-CSS/autoload/mtable.js
 *
 *  Copyright (c) 2009-2015 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.
 */

MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.5.0";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aK=I.width.match(/%$/);var ax=b.createStack(r);var aH=this.HTMLgetScale(),aA=this.HTMLgetMu(r),aB=-1;var ap=[],at=[],aj=[],av=[],au=[],ae,ad,ao=-1,ac,an,X,aF,Q,aC,aP=[],aU;var G=b.FONTDATA.lineH*aH*I.useHeight,N=b.FONTDATA.lineD*aH*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aF=this.data[ae];X=(aF.type==="mlabeledtr"?aB:0);av[ae]=[];ap[ae]=G;at[ae]=N;for(ad=X,an=aF.data.length+X;ad<an;ad++){if(aj[ad]==null){if(ad>ao){ao=ad}au[ad]=b.createStack(b.createBox(ax));aj[ad]=-b.BIGDIMEN}av[ae][ad]=b.createBox(au[ad]);aP.push(aF.data[ad-X].toHTML(av[ae][ad]))}}b.MeasureSpans(aP);for(ae=0,ac=this.data.length;ae<ac;ae++){aF=this.data[ae];X=(aF.type==="mlabeledtr"?aB:0);for(ad=X,an=aF.data.length+X;ad<an;ad++){Q=aF.data[ad-X];if(Q.isMultiline){av[ae][ad].style.width="100%"}if(Q.isEmbellished()){aC=Q.CoreMO();var aT=aC.Get("minsize",true);if(aT){var aM=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aU=aM.h+aM.d;if(aU){aT=b.length2em(aT,aA,aU);if(aT*aM.h/aU>ap[ae]){ap[ae]=aT*aM.h/aU}if(aT*aM.d/aU>at[ae]){at[ae]=aT*aM.d/aU}}}else{if(aC.HTMLcanStretch("Horizontal")){aT=b.length2em(aT,aA,aM.w);if(aT>aj[ad]){aj[ad]=aT}}}}}if(av[ae][ad].bbox.h>ap[ae]){ap[ae]=av[ae][ad].bbox.h}if(av[ae][ad].bbox.d>at[ae]){at[ae]=av[ae][ad].bbox.d}if(av[ae][ad].bbox.w>aj[ad]){aj[ad]=av[ae][ad].bbox.w}}}var aE=MathJax.Hub.SplitList;var az=aE(I.columnspacing),aR=aE(I.rowspacing),e=aE(I.columnalign),B=aE(I.rowalign),d=aE(I.columnlines),w=aE(I.rowlines),aN=aE(I.columnwidth),U=[];for(ae=0,ac=az.length;ae<ac;ae++){az[ae]=b.length2em(az[ae],aA)}for(ae=0,ac=aR.length;ae<ac;ae++){aR[ae]=b.length2em(aR[ae],aA)}while(az.length<ao){az.push(az[az.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aN.length<=ao){aN.push(aN[aN.length-1])}while(aR.length<av.length){aR.push(aR[aR.length-1])}while(B.length<=av.length){B.push(B[B.length-1])}while(w.length<av.length){w.push(w[w.length-1])}if(au[aB]){e[aB]=(I.side.substr(0,1)==="l"?"left":"right");az[aB]=-aj[aB]}for(ae=0,ac=av.length;ae<ac;ae++){aF=this.data[ae];U[ae]=[];if(aF.rowalign){B[ae]=aF.rowalign}if(aF.columnalign){U[ae]=aE(aF.columnalign);while(U[ae].length<=ao){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aD=Math.max.apply(Math,ap),V=Math.max.apply(Math,at);for(ae=0,ac=av.length;ae<ac;ae++){X=((aD+V)-(ap[ae]+at[ae]))/2;ap[ae]+=X;at[ae]+=X}}aU=ap[0]+at[av.length-1];for(ae=0,ac=av.length-1;ae<ac;ae++){aU+=Math.max(0,at[ae]+ap[ae+1]+aR[ae])}var aJ=0,aI=0,aW,g=aU;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aE(I.framespacing);if(v.length!=2){v=aE(this.defaults.framespacing)}aJ=b.length2em(v[0],aA);aI=b.length2em(v[1],aA);g=aU+2*aI}var ai,aV,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=av.length+1+aa}if(aa<1){aa=1}else{if(aa>av.length){aa=av.length}}ai=0;aV=-(aU+aI)+ap[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,at[ae]+ap[ae+1]+aR[ae]);ai+=L;aV+=L}}else{ai=({top:-(ap[0]+aI),bottom:aU+aI-ap[0],center:aU/2-ap[0],baseline:aU/2-ap[0],axis:aU/2+b.TeX.axis_height*aH-ap[0]})[I.align];aV=({top:-(aU+2*aI),bottom:0,center:-(aU/2+aI),baseline:-(aU/2+aI),axis:b.TeX.axis_height*aH-aU/2-aI})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,al=[],ar=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aK){ab=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ao+1,aN.length);ae<ac;ae++){aN[ae]=ab}ab=0;af=1;ag=ao+1;for(ae=0,ac=Math.min(ao+1,az.length);ae<ac;ae++){ab+=az[ae]}}else{ab=b.length2em(I.width,aA);for(ae=0,ac=Math.min(ao+1,az.length);ae<ac;ae++){ab-=az[ae]}ab/=ao+1;for(ae=0,ac=Math.min(ao+1,aN.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ao+1,aN.length);ae<ac;ae++){if(aN[ae]==="auto"){z+=aj[ae]}else{if(aN[ae]==="fit"){ar[ag]=ae;ag++;z+=aj[ae]}else{if(aN[ae].match(/%$/)){al[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aN[ae],aA,1)}else{aj[ae]=b.length2em(aN[ae],aA);z+=aj[ae]}}}}if(aK){ab=0;for(ae=0,ac=Math.min(ao,az.length);ae<ac;ae++){ab+=az[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aA);for(ae=0,ac=Math.min(ao+1,az.length);ae<ac;ae++){ab-=az[ae]}}for(ae=0,ac=al.length;ae<ac;ae++){aj[al[ae]]=b.length2em(aN[al[ae]],aA,ab*R);z+=aj[al[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=ar.length;ae<ac;ae++){aj[ar[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ao;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ao;ad++){aj[ad]=O}}}}var S=ai,o,q,aS;X=(au[aB]?aB:0);for(ad=X;ad<=ao;ad++){for(ae=0,ac=av.length;ae<ac;ae++){if(av[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aB:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){av[ae][ad].bbox=Q.HTMLstretchH(au[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aC=Q.CoreMO();var aL=aC.symmetric;aC.symmetric=false;av[ae][ad].bbox=Q.HTMLstretchV(au[ad],ap[ae],at[ae]).bbox;av[ae][ad].HH=null;if(av[ae][ad].bbox.h>ap[ae]){av[ae][ad].bbox.H=av[ae][ad].bbox.h;av[ae][ad].bbox.h=ap[ae]}if(av[ae][ad].bbox.d>at[ae]){av[ae][ad].bbox.D=av[ae][ad].bbox.d;av[ae][ad].bbox.d=at[ae]}aC.symmetric=aL}}aS=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:ap[ae]-av[ae][ad].bbox.h,bottom:av[ae][ad].bbox.d-at[ae],center:((ap[ae]-at[ae])-(av[ae][ad].bbox.h-av[ae][ad].bbox.d))/2,baseline:0,axis:0})[aS]||0;aS=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(av[ae][ad],aS,S+o)}if(ae<av.length-1){S-=Math.max(0,at[ae]+ap[ae+1]+aR[ae])}}S=ai}if(aK){var E=b.createBox(ax);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aJ);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ax.bbox}var aQ=0,aX=aJ,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ao+1);l=z/(ao+1)}for(ad=0;ad<=ao;ad++){b.placeBox(au[ad].parentNode,0,0);au[ad].style.position="relative";au[ad].style.left=b.Em(aX);au[ad].style.width="100%";au[ad].parentNode.parentNode.removeChild(au[ad].parentNode);var ak=b.createBox(E);b.addBox(ak,au[ad]);au[ad]=ak;var h=ak.style;h.display="inline-block";h.left=aQ+"%";if(aN[ad].match(/%$/)){var t=parseFloat(aN[ad])*R;if(ag===0){h.width=(k+t)+"%";aQ+=k+t;ak=b.createBox(ak);b.addBox(ak,au[ad].firstChild);ak.style.left=0;ak.style.right=b.Em(l);aX-=l}else{h.width=t+"%";aQ+=t}}else{if(aN[ad]==="fit"||ag===0){h.width=k+"%";ak=b.createBox(ak);b.addBox(ak,au[ad].firstChild);ak.style.left=0;ak.style.right=b.Em(l-aj[ad]);aX+=aj[ad]-l;aQ+=k}else{h.width=b.Em(aj[ad]);aX+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(ak.firstChild,b.NBSP);ak.firstChild.style.position="relative"}aX+=az[ad];if(d[ad]!=="none"&&ad<ao&&ad!==aB){q=b.createBox(E);q.style.left=aQ+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ax.bbox;b.placeBox(q,aX-az[ad]/2,aV,true);q.style.borderStyle=d[ad]}}}else{var T=aJ;for(ad=0;ad<=ao;ad++){if(!au[ad].bbox.width){b.setStackWidth(au[ad],aj[ad])}if(aN[ad]!=="auto"&&aN[ad]!=="fit"){au[ad].bbox.width=aj[ad];au[ad].bbox.isFixed=true}b.placeBox(au[ad].parentNode,T,0);T+=aj[ad]+az[ad];if(d[ad]!=="none"&&ad<ao&&ad!==aB){q=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-az[ad]/2,aV,true);q.style.borderStyle=d[ad]}}}ax.bbox.d=-aV;ax.bbox.h=g+aV;b.setStackWidth(ax,ax.bbox.w+aJ);aW=ax.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ax,g,0,aW,1.25/b.em,I.frame);b.addBox(ax,ah);b.placeBox(ah,0,aV,true);if(aK){ah.style.width="100%"}}S=ai;for(ae=0,ac=av.length-1;ae<ac;ae++){o=Math.max(0,at[ae]+ap[ae+1]+aR[ae]);if(w[ae]!=="none"){q=b.createRule(ax,1.25/b.em,0,aW);b.addBox(ax,q);q.bbox={h:1.25/b.em,d:0,w:aW,rw:aW,lw:0};b.placeBox(q,0,S-at[ae]-(o-at[ae]-ap[ae+1])/2,true);if(w[ae]==="dashed"||aK){q.style.borderTop=q.style.height+" "+w[ae];q.style.height=0;q.style.width=q.style.borderLeftWidth;q.style.borderLeft="";if(aK){q.style.width="100%"}}}S-=o}if(aK){r.bbox.width=I.width;ax.style.width="100%"}if(au[aB]){var aw=ax.bbox.w;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift="0"}var am=b.length2em(aq.indentshift,aA,b.cwidth);var ay=b.length2em(I.minlabelspacing,aA,b.cwidth);if(this.displayIndent!=="0"){var aG=b.length2em(this.displayIndent,aA,b.cwidth);am+=(aq.indentAlign===a.INDENTALIGN.RIGHT?-aG:aG)}var aO=b.createStack(r,false,"100%");b.addBox(aO,ax);b.alignBox(ax,aq.indentalign,0,am);au[aB].parentNode.parentNode.removeChild(au[aB].parentNode);b.addBox(aO,au[aB]);b.alignBox(au[aB],e[aB],0);if(b.msieRelativeWidthBug){ax.style.top=au[aB].style.top=""}if(aK){ax.style.width=I.width;r.bbox.width="100%"}au[aB].style.marginRight=au[aB].style.marginLeft=b.Em(ay);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*ay+2*au[aB].bbox.w}else{if(aq.indentalign!==e[aB]){aw+=2*ay+au[aB].bbox.w}}aw=Math.max(0,aw+am);r.bbox.tw=aw+2*ay;r.style.minWidth=r.bbox.minWidth=b.Em(aw);aO.style.minWidth=aO.bbox.minWidth=b.Em(aw/b.scale)}if(!aK){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aK){if(!ah){ah=b.createFrame(ax,g,0,aW,0,"none");b.addBox(ax,ah);b.placeBox(ah,0,aV,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});