/*
 *  /MathJax-v2/jax/output/CommonHTML/autoload/mmultiscripts.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 c="2.7.8";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.mmultiscripts.Augment({toCommonHTML:function(K,k){var P=(k||{}).stretch;if(!P){K=this.CHTMLcreateNode(K);this.CHTMLhandleStyle(K);this.CHTMLgetVariant();this.CHTMLhandleScale(K)}b.BBOX.empty(this.CHTML);var m,e;if(P){m=b.getNode(K,"mjx-base")}else{this.CHTMLaddChild(K,0,{type:"mjx-base",noBBox:true,forceChild:true});m=K.firstChild}e=this.CHTMLbboxFor(0);if(e.ic){e.R-=e.ic;if(!P){m.style.marginRight=b.Em(-e.ic)}R=1.3*e.ic+0.05}var E={},n={};this.CHTMLgetScripts(E,n,P,K);var w=E.sub,f=E.sup,B=E.presub,l=E.presup;var H=n.sub,N=n.sup,j=n.presub,o=n.presup;if(!P){this.CHTMLaddBoxes(K,m,E)}var g=this.getValues("scriptlevel","scriptsizemultiplier");var i=(this.Get("scriptlevel")<3?g.scriptsizemultiplier:1);var O=b.TEX.x_height,F=b.TEX.scriptspace;var I=b.TEX.sup_drop*i,G=b.TEX.sub_drop*i;var C=e.h-I,A=e.d+G,R=0,J;var L=this.data[this.base];if(L&&(L.type==="mi"||L.type==="mo")){if(b.isChar(L.data.join(""))&&e.rscale===1&&!e.sH&&!L.Get("largeop")){C=A=0}}g=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");g.subscriptshift=(g.subscriptshift===""?0:this.CHTMLlength2em(g.subscriptshift));g.superscriptshift=(g.superscriptshift===""?0:this.CHTMLlength2em(g.superscriptshift));var z=(B?F+j.w:l?F+o.w-R:0);this.CHTML.combine(e,z,0);var y=this.CHTML.w;if(!f&&!l){A=Math.max(A,b.TEX.sub1,g.subscriptshift);if(w){A=Math.max(A,H.h-(4/5)*O)}if(B){A=Math.max(A,j.h-(4/5)*O)}if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}else{if(!w&&!B){J=b.TEX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];C=Math.max(C,J,g.superscriptshift);if(f){C=Math.max(C,N.d+(1/4)*O)}if(l){C=Math.max(C,o.d+(1/4)*O)}if(f){this.CHTMLplaceSupOnly(f,N,y,R,C,F)}if(l){this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{A=Math.max(A,b.TEX.sub2);var D=b.TEX.rule_thickness;var M=(H||j).h,Q=(N||o).d;if(B){M=Math.max(M,j.h)}if(l){Q=Math.max(Q,o.d)}if((C-Q)-(M-A)<3*D){A=3*D-C+Q+M;I=(4/5)*O-(C-Q);if(I>0){C+=I;A-=I}}C=Math.max(C,g.superscriptshift);A=Math.max(A,g.subscriptshift);if(f){if(w){this.CHTMLplaceSubSup(w,H,f,N,y,R,C,A,F)}else{this.CHTMLplaceSupOnly(f,N,y,R,C,F)}}else{if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}}if(l){if(B){this.CHTMLplacePresubPresup(B,j,l,o,R,C,A,F)}else{this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}}}this.CHTML.clean();this.CHTMLhandleSpace(K);this.CHTMLhandleBBox(K);this.CHTMLhandleColor(K);return K},CHTMLgetScripts:function(e,o,g,h){if(g){e.sub=b.getNode(h,"mjx-sub");e.sup=b.getNode(h,"mjx-sup");e.presub=b.getNode(h,"mjx-presub");e.presup=b.getNode(h,"mjx-presup");o.sub=this.CHTMLbbox.sub;o.sup=this.CHTMLbbox.sup;o.presub=this.CHTMLbbox.presub;o.presup=this.CHTMLbbox.presup;return}this.CHTMLbbox=o;var f={i:1,w:0,BOX:e,BBOX:o},i=this.data.length;var d="sub",j="sup";while(f.i<i){if((this.data[f.i]||{}).type==="mprescripts"){f.i++;f.w=0;d="presub";j="presup"}else{var k=this.CHTMLaddScript(d,f,h);var n=this.CHTMLaddScript(j,f,h);var l=Math.max((k?k.rscale*k.w:0),(n?n.rscale*n.w:0));this.CHTMLpadScript(d,l,k,f);this.CHTMLpadScript(j,l,n,f);f.w+=l}}if(o.sub){o.sub.clean()}if(o.sup){o.sup.clean()}if(o.presub){o.presub.clean()}if(o.presup){o.presup.clean()}},CHTMLaddScript:function(f,i,g){var e,d,h=this.data[i.i];if(h&&h.type!=="none"&&h.type!=="mprescripts"){e=i.BOX[f];if(!e){e=i.BOX[f]=b.addElement(g,"mjx-"+f);d=i.BBOX[f]=b.BBOX.empty();if(i.w){e.style.paddingLeft=b.Em(i.w);d.w=d.r=i.w;d.x=i.w}}h.toCommonHTML(e);d=h.CHTML}if(h&&h.type!=="mprescripts"){i.i++}return d},CHTMLpadScript:function(h,j,k,g){if(!k){k={w:0,fake:1,rscale:1}}var i=g.BBOX[h],l=0,e=0;if(i){if(k.rscale*k.w<j){var f=g.BOX[h];e=j-k.rscale*k.w;var d=b.Element("mjx-spacer",{style:{width:b.Em(e)}});if(h.substr(0,3)==="pre"&&!k.fake){f.insertBefore(d,f.lastChild);l=e;e=0}else{f.appendChild(d)}}if(k.fake){i.w+=l}else{i.combine(k,i.w+l,0)}i.w+=e}},CHTMLaddBoxes:function(h,f,e){var d=e.sub,i=e.sup,g=e.presub,k=e.presup;if(g&&k){var j=b.Element("mjx-prestack");h.insertBefore(j,f);j.appendChild(k);j.appendChild(g)}else{if(g){h.insertBefore(g,f)}if(k){h.insertBefore(k,f)}}if(d&&i){var l=b.addElement(h,"mjx-stack");l.appendChild(i);l.appendChild(d)}else{if(d){h.appendChild(d)}if(i){h.appendChild(i)}}},CHTMLplaceSubOnly:function(h,f,d,e,g){h.style.verticalAlign=b.Em(-e);h.style.marginRight=b.Em(g);f.w+=g;this.CHTML.combine(f,d,-e)},CHTMLplaceSupOnly:function(e,i,d,h,f,g){e.style.verticalAlign=b.Em(f);e.style.paddingLeft=b.Em(h);e.style.paddingRight=b.Em(g);i.w+=g;this.CHTML.combine(i,d+h,f)},CHTMLplaceSubSup:function(d,f,e,h,g,i,k,j,l){d.style.paddingRight=b.Em(l);f.w+=l;e.style.paddingBottom=b.Em(k+j-h.d-f.h);e.style.paddingLeft=b.Em(i+(h.x||0));e.style.paddingRight=b.Em(l);h.w+=l;e.parentNode.style.verticalAlign=b.Em(-j);this.CHTML.combine(f,g,-j);this.CHTML.combine(h,g+i,k)},CHTMLplacePresubOnly:function(e,d,f,g){e.style.verticalAlign=b.Em(-f);e.style.marginLeft=b.Em(g);this.CHTML.combine(d,g,-f)},CHTMLplacePresupOnly:function(g,f,h,d,e){g.style.verticalAlign=b.Em(d);g.style.paddingLeft=b.Em(e);g.style.paddingRight=b.Em(-h);this.CHTML.combine(f,e,d)},CHTMLplacePresubPresup:function(e,d,j,i,k,g,f,h){e.style.paddingLeft=b.Em(h);j.style.paddingBottom=b.Em(g+f-i.d-d.h);j.style.paddingLeft=b.Em(k+h+(i.x||0));j.style.paddingRight=b.Em(-k);j.parentNode.style.verticalAlign=b.Em(-f);this.CHTML.combine(d,h,-f);this.CHTML.combine(i,h+k,g)},CHTMLstretchH:a.mbase.CHTMLstretchH,CHTMLstretchV:a.mbase.CHTMLstretchV});MathJax.Hub.Startup.signal.Post("CommonHTML mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
