/*
 *  /MathJax/jax/output/CommonHTML/autoload/mtable.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.
 */

MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});