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jax.js (108246B)

---

 /* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
 /* vim: set ts=2 et sw=2 tw=80: */
 
 /*************************************************************
  *
  *  MathJax/jax/output/CommonHTML/jax.js
  *
  *  Implements the CommonHTML OutputJax that displays mathematics
  *  using HTML and CSS to position the characters from math fonts
  *  in their proper locations.  Unlike the HTML-CSS output jax,
  *  this HTML is browswer and OS independent.
  *  
  *  ---------------------------------------------------------------------
  *  
  *  Copyright (c) 2013-2015 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.
  */
 
 
 (function (AJAX,HUB,HTML,CHTML) {
   var MML;
 
   var EVENT, TOUCH, HOVER; // filled in later
 
   var STRUTHEIGHT = 1,
       EFUZZ = .1,                  // overlap needed for stretchy delimiters
       HFUZZ = .025, DFUZZ = .025;  // adjustments to bounding box of character boxes
 
   var STYLES = {
     ".mjx-chtml": {
       display:           "inline-block",
       "line-height":     0,
       "text-indent":     0,
       "text-align":      "left",
       "text-transform":  "none",
       "font-style":      "normal",
       "font-weight":     "normal",
       "font-size":       "100%",
       "font-size-adjust":"none",
       "letter-spacing":  "normal",
       "word-wrap":       "normal",
       "word-spacing":    "normal",
       "white-space":     "nowrap",
       "float":           "none",
       "direction":       "ltr",
       "max-width":       "none",
       "max-height":      "none",
       "min-width":       0,
       "min-height":      0,
       border:            0,
       margin:            0,
       padding:           "1px 0"
     },
     ".MJXc-display": {
       display:      "block",
       "text-align": "center",
       "margin":     "1em 0",
       padding:      0
     },
     ".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]": {
       display: "inline-table"  // see issues #1282 and #1338
     },
 
     ".mjx-math":   {
       "display":         "inline-block",
       "border-collapse": "separate",
       "border-spacing":  0,
     },
     ".mjx-math *": {display:"inline-block", "text-align":"left"},
 
     ".mjx-numerator":   {display:"block", "text-align":"center"},
     ".mjx-denominator": {display:"block", "text-align":"center"},
     ".MJXc-stacked":    {height:0, position:"relative"},
     ".MJXc-stacked > *":  {position: "absolute"},
     ".MJXc-bevelled > *": {display:"inline-block"},
     
     ".mjx-stack":  {display:"inline-block"},
     ".mjx-op":     {display:"block"},
     ".mjx-under":  {display:"table-cell"},
     ".mjx-over":   {display:"block"},
     ".mjx-over > *": {"padding-left":"0px!important", "padding-right":"0px!important"},
     ".mjx-under > *": {"padding-left":"0px!important", "padding-right":"0px!important"},
     
     ".mjx-stack > .mjx-sup": {display:"block"},
     ".mjx-stack > .mjx-sub": {display:"block"},
     ".mjx-prestack > .mjx-presup": {display:"block"},
     ".mjx-prestack > .mjx-presub": {display:"block"},
     
     ".mjx-delim-h > .mjx-char": {display:"inline-block"},
     
     ".mjx-surd": {"vertical-align":"top"},
     
     ".mjx-mphantom *": {visibility:"hidden"},
 
     ".mjx-merror": {
       "background-color":"#FFFF88",
       color:             "#CC0000",
       border:            "1px solid #CC0000",
       padding:           "2px 3px",
       "font-style":      "normal",
       "font-size":       "90%"
     },
     
     ".mjx-annotation-xml": {"line-height":"normal"},
     
     ".mjx-menclose > svg": {fill:"none", stroke:"currentColor"},
 
     ".mjx-mtr":    {display:"table-row"},
     ".mjx-mlabeledtr": {display:"table-row"},
     ".mjx-mtd":    {display:"table-cell", "text-align":"center"},
     ".mjx-label":  {display:"block"},
 
     ".mjx-box":    {display:"inline-block"},
     ".mjx-block":  {display:"block"},
     ".mjx-span":   {display:"span"},
     ".mjx-char":   {display:"block", "white-space":"pre"},
     ".mjx-itable": {display:"inline-table"},
     ".mjx-row":    {display:"table-row"},
     ".mjx-cell":   {display:"table-cell"},
     ".mjx-table":  {display:"table", width:"100%"},
     ".mjx-line":   {display:"block", height:0},
     ".mjx-strut":  {width:0, "padding-top":STRUTHEIGHT+"em"},
     ".mjx-vsize":  {width:0},
 
     ".MJXc-space1": {"margin-left":".167em"},
     ".MJXc-space2": {"margin-left":".222em"},
     ".MJXc-space3": {"margin-left":".278em"},
     
     ".mjx-chartest": {
       display:"block",
       visibility: "hidden",
       position:"absolute", top:0,
       "line-height":"normal",
       "font-size":"500%"
     },
     ".mjx-chartest .mjx-char": {display:"inline"},
     ".mjx-chartest .mjx-box": {"padding-top": "1000px"},
 
     ".MJXc-processing": {
       visibility: "hidden", position:"fixed",
       width: 0, height: 0, overflow:"hidden"
     },
     ".MJXc-processed": {display:"none"},
     
     ".mjx-test": {
       display:           "block",
       "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"
     },
     ".mjx-ex-box-test": {
       position:  "absolute",
       width:"1px", height:"60ex"
     },
     
     "#MathJax_CHTML_Tooltip": {
       "background-color": "InfoBackground", color: "InfoText",
       border: "1px solid black",
       "box-shadow": "2px 2px 5px #AAAAAA",         // Opera 10.5
       "-webkit-box-shadow": "2px 2px 5px #AAAAAA", // Safari 3 and Chrome
       "-moz-box-shadow": "2px 2px 5px #AAAAAA",    // Forefox 3.5
       "-khtml-box-shadow": "2px 2px 5px #AAAAAA",  // Konqueror
       padding: "3px 4px",
       "z-index": 401,
       position: "absolute", left: 0, top: 0,
       width: "auto", height: "auto",
       display: "none"
     }
 
   };
   
   
   /************************************************************/
   
   var BIGDIMEN = 1000000;
   var LINEBREAKS = {}, CONFIG = MathJax.Hub.config;
 
   CHTML.Augment({
     settings: HUB.config.menuSettings,
     config: {styles: STYLES},
 
     /********************************************/
     
     Config: function () {
       if (!this.require) {this.require = []}
       this.SUPER(arguments).Config.call(this); var settings = this.settings;
       if (settings.scale) {this.config.scale = settings.scale}
       this.require.push(this.fontDir+"/TeX/fontdata.js");
       this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");
       LINEBREAKS = this.config.linebreaks;
     },
 
     Startup: function () {
       //
       //  Set up event handling
       //
       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;
 
       //
       //  Determine pixels per inch
       //
       var div = CHTML.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});
       this.pxPerInch = div.offsetWidth/5; div.parentNode.removeChild(div);
 
       //
       // Used in preTranslate to get scaling factors and line width
       //
       this.TestSpan = CHTML.Element("mjx-test",{style:{left:"1em"}},[["mjx-ex-box-test"]]);
 
       //
       //  Set up styles and preload web fonts
       //
       return AJAX.Styles(this.config.styles,["InitializeCHTML",this]);
     },
     
     InitializeCHTML: function () {
       this.getDefaultExEm();
       //
       //  If the defaultEm size is zero, it might be that a web font hasn't
       //  arrived yet, so try to wait for it, but don't wait too long.
       //
       if (this.defaultEm) return;
       var ready = MathJax.Callback();
       AJAX.timer.start(AJAX,function (check) {
         if (check.time(ready)) {HUB.signal.Post(["CommonHTML Jax - no default em size"]); return}
         CHTML.getDefaultExEm();
         if (CHTML.defaultEm) {ready()} else {setTimeout(check,check.delay)}
       },this.defaultEmDelay,this.defaultEmTimeout);
       return ready;
     },
     defaultEmDelay: 100,      // initial delay when checking for defaultEm
     defaultEmTimeout: 1000,   // when to stop looking for defaultEm
     getDefaultExEm: function () {
       //
       //  Get the default sizes (need styles in place to do this)
       //
       document.body.appendChild(this.TestSpan);
       this.defaultEm    = this.getFontSize(this.TestSpan);
       this.defaultEx    = this.TestSpan.firstChild.offsetHeight/60;
       this.defaultWidth = this.TestSpan.offsetWidth;
       document.body.removeChild(this.TestSpan);
     },
     getFontSize: (window.getComputedStyle ? 
       function (node) {
         var style = window.getComputedStyle(node);
         return parseFloat(style.fontSize);
       } :
       //
       //  IE 8 doesn't do getComputedStyle, so use
       //  an alternative approach
       //
       function (node) {
         return node.style.pixelLeft;
       }
     ),
     getMaxWidth: (window.getComputedStyle ?
       function (node) {
         var style = window.getComputedStyle(node);
         if (style.maxWidth !== "none") return parseFloat(style.maxWidth);
         return 0;
       } :
       //
       //  IE 8 doesn't do getComputedStyle, so use
       //  currentStyle, and a hack to get the pixels for
       //  a non-px max-width
       //
       function (node) {
         var max = node.currentStyle.maxWidth;
         if (max !== "none") {
           if (max.match(/\d*px/)) return parseFloat(max);
           var left = node.style.left;
           node.style.left = max; max = node.style.pixelLeft;
           node.style.left = left;
           return max;
         }
         return 0;
       }
     ),
 
     //
     //  Load data for a font
     //
     loadFont: function (font) {
       HUB.RestartAfter(AJAX.Require(this.fontDir+"/"+font));
     },
     //
     //  Signal that the font data are loaded
     //
     fontLoaded: function (font) {
       if (!font.match(/-|fontdata/)) font += "-Regular";
       if (!font.match(/\.js$/)) font += ".js"
       MathJax.Callback.Queue(
         ["Post",HUB.Startup.signal,["CommonHTML - font data loaded",font]],
         ["loadComplete",AJAX,this.fontDir+"/"+font]
       );
     },
     
     Element: function (type,def,content) {
       if (type.substr(0,4) === "mjx-") {
         if (!def) def = {};
         if (def.isMathJax == null) def.isMathJax = true;
         if (def.className) def.className = type+" "+def.className; else def.className = type;
         type = "span";
       }
       return this.HTMLElement(type,def,content);
     },
     addElement: function (node,type,def,content) {
       return node.appendChild(this.Element(type,def,content));
     },
     HTMLElement: HTML.Element,
     ucMatch: HTML.ucMatch,
     setScript: HTML.setScript,
     
     getNodesByClass: (document.getElementsByClassName ? 
       function (node,type) {return node.getElementsByClassName(type)} :
       function (node,type) {
         var NODES = [];
         var nodes = node.getElementsByTagName("span");
         var name = RegExp("\\b"+type+"\\b");
         for (var i = 0, m = nodes.length; i < m; i++) {
           if (name.test(nodes[i].className)) NODES.push = nodes[i];
         }
         return NODES;
       }
     ),
     getNode: function (node,type) {
       var nodes = this.getNodesByClass(node,type);
       if (nodes.length === 1) return nodes[0];
       var closest = nodes[0], N = this.getNodeDepth(node,closest);
       for (var i = 1, m = nodes.length; i < m; i++) {
         var n = this.getNodeDepth(node,nodes[i]);
         if (n < N) {closest = nodes[i]; N = n}
       }
       return closest;
     },
     getNodeDepth: function (parent,node) {
       var n = 0;
       while (node && node !== parent) {node = node.parentNode; n++}
       return n;
     },
     
 
     /********************************************/
     
     preTranslate: function (state) {
       var scripts = state.jax[this.id], i, m = scripts.length,
           script, prev, node, jax, ex, em;
       //
       //  Get linebreaking information
       //
       var maxwidth = 100000, relwidth = false, cwidth = 0,
           linebreak = LINEBREAKS.automatic, width = LINEBREAKS.width;
       if (linebreak) {
         relwidth = !!width.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);
         if (relwidth) {width = width.replace(/\s*container\s*/,"")}
           else {maxwidth = this.defaultWidth}
         if (width === "") {width = "100%"}
       }
       //
       //  Loop through the scripts
       //
       for (i = 0; i < m; i++) {
         script = scripts[i]; if (!script.parentNode) continue;
         //
         //  Remove any existing output
         //
         prev = script.previousSibling;
 	if (prev && prev.className && String(prev.className).substr(0,9) === "mjx-chtml")
 	  prev.parentNode.removeChild(prev);
         //
         //  Add the node for the math and mark it as being processed
         //
         jax = script.MathJax.elementJax; if (!jax) continue;
         jax.CHTML = {display: (jax.root.Get("display") === "block")}
         node = CHTML.Element("mjx-chtml",{
           id:jax.inputID+"-Frame", className:"MathJax_CHTML", 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,
           // Added for keyboard accessible menu.
           onkeydown: EVENT.Keydown, tabIndex: HUB.getTabOrder(jax)
         });
         if (jax.CHTML.display) {
           //
           // Zoom box requires an outer container to get the positioning right.
           //
           var NODE = CHTML.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});
           NODE.appendChild(node); node = NODE;
         }
         if (HUB.Browser.noContextMenu) {
           node.ontouchstart = TOUCH.start;
           node.ontouchend = TOUCH.end;
         }
         //
         node.className += " MJXc-processing";
         script.parentNode.insertBefore(node,script);
         //
         //  Add test nodes for determineing scales and linebreak widths
         //
         script.parentNode.insertBefore(this.TestSpan.cloneNode(true),script);
       }
       //
       //  Determine the scaling factors for each script
       //  (this only requires one reflow rather than a reflow for each equation)
       //
       for (i = 0; i < m; i++) {
         script = scripts[i]; if (!script.parentNode) continue;
         test = script.previousSibling;
         jax = script.MathJax.elementJax; if (!jax) continue;
         em = CHTML.getFontSize(test);
         ex = test.firstChild.offsetHeight/60;
         if (ex === 0 || ex === "NaN") ex = this.defaultEx
         node = test;
         while (node) {
           cwidth = node.offsetWidth; if (cwidth) break;
           cwidth = CHTML.getMaxWidth(node); if (cwidth) break;
           node = node.parentNode;
         }
         if (relwidth) maxwidth = cwidth;
         scale = (this.config.matchFontHeight ? ex/this.TEX.x_height/em : 1);
         scale = Math.floor(Math.max(this.config.minScaleAdjust/100,scale)*this.config.scale);
         jax.CHTML.scale = scale/100; jax.CHTML.fontSize = scale+"%";
         jax.CHTML.outerEm = em; jax.CHTML.em = this.em = em * scale/100;
         jax.CHTML.ex = ex; jax.CHTML.cwidth = cwidth/this.em;
         jax.CHTML.lineWidth = (linebreak ? this.length2em(width,maxwidth/this.em,1) : maxwidth);
       }
       //
       //  Remove the test spans used for determining scales and linebreak widths
       //
       for (i = 0; i < m; i++) {
         script = scripts[i]; if (!script.parentNode) continue;
         test = scripts[i].previousSibling;
         jax = scripts[i].MathJax.elementJax; if (!jax) continue;
         test.parentNode.removeChild(test);
       }
       state.CHTMLeqn = state.CHTMLlast = 0; state.CHTMLi = -1;
       state.CHTMLchunk = this.config.EqnChunk;
       state.CHTMLdelay = false;
     },
 
     /********************************************/
     
     Translate: function (script,state) {
       if (!script.parentNode) return;
 
       //
       //  If we are supposed to do a chunk delay, do it
       //
       if (state.CHTMLdelay) {
         state.CHTMLdelay = false;
         HUB.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay));
       }
 
       //
       //  Get the data about the math
       //
       var jax = script.MathJax.elementJax, math = jax.root,
           node = document.getElementById(jax.inputID+"-Frame");
       this.getMetrics(jax);
       if (this.scale !== 1) node.style.fontSize = jax.CHTML.fontSize;
       //
       //  Typeset the math
       //
       this.initCHTML(math,node);
       this.savePreview(script);
       this.CHTMLnode = node;
       try {
         math.setTeXclass();
         math.toCommonHTML(node);
       } catch (err) {
         while (node.firstChild) node.removeChild(node.firstChild);
         delete this.CHTMLnode;
         this.restorePreview(script);
         throw err;
       }
       delete this.CHTMLnode;
       this.restorePreview(script);
       //
       //  Put it in place, and remove the processing marker
       //
       if (jax.CHTML.display) node = node.parentNode;
       node.className = node.className.replace(/ [^ ]+$/,"");
       //
       //  Hide the math and don't let its preview be removed
       //
       node.className += " MJXc-processed";
       if (script.MathJax.preview) {
         jax.CHTML.preview = script.MathJax.preview;
         delete script.MathJax.preview;
       }
       //
       //  Check if we should show this chunk of equations
       //
       state.CHTMLeqn += (state.i - state.CHTMLi); state.CHTMLi = state.i;
       if (state.CHTMLeqn >= state.CHTMLlast + state.CHTMLchunk) {
         this.postTranslate(state);
         state.CHTMLchunk = Math.floor(state.CHTMLchunk*this.config.EqnChunkFactor);
         state.CHTMLdelay = true;  // delay if there are more scripts
       }
     },
 
     initCHTML: function (math,node) {},
 
     //
     //  MathML previews can contain the same ID's as the HTML output,
     //  which confuses CHTMLnodeElement(), so remove the preview temporarily
     //  and restore it after typesetting the math.
     //
     savePreview: function (script) {
       var preview = script.MathJax.preview;
       if (preview && preview.parentNode) {
         script.MathJax.tmpPreview = document.createElement("span");
         preview.parentNode.replaceChild(script.MathJax.tmpPreview,preview);
       }
     },
     restorePreview: function (script) {
       var tmpPreview = script.MathJax.tmpPreview;
       if (tmpPreview) {
         tmpPreview.parentNode.replaceChild(script.MathJax.preview,tmpPreview);
         delete script.MathJax.tmpPreview;
       }
     },
     //
     //  Get the jax metric information
     //
     getMetrics: function(jax) {
       var data = jax.CHTML;
       this.jax = jax;
       this.em = data.em;
       this.outerEm = data.outerEm;
       this.scale = data.scale;
       this.cwidth = data.cwidth;
       this.linebreakWidth = data.lineWidth;
     },
 
     /********************************************/
     
     postTranslate: function (state) {
       var scripts = state.jax[this.id];
       //
       //  Reveal this chunk of math
       //
       for (var i = state.CHTMLlast, m = state.CHTMLeqn; i < m; i++) {
         var script = scripts[i];
         if (script && script.MathJax.elementJax) {
           //
           //  Remove the processed marker
           //
           script.previousSibling.className = script.previousSibling.className.replace(/ [^ ]+$/,"");
           var data = script.MathJax.elementJax.CHTML;
           //
           //  Remove the preview, if any
           //
           if (data.preview) {
             data.preview.innerHTML = "";
             script.MathJax.preview = data.preview;
             delete data.preview;
           }
         }
       }
       //
       //  Save our place so we know what is revealed
       //
       state.CHTMLlast = state.CHTMLeqn;
     },
 
     /********************************************/
     
     getJaxFromMath: function (math) {
       if (math.parentNode.className.match(/MJXc-display/)) math = math.parentNode;
       do {math = math.nextSibling} while (math && math.nodeName.toLowerCase() !== "script");
       return HUB.getJaxFor(math);
     },
     getHoverSpan: function (jax,math) {return jax.root.CHTMLnodeElement()},
     getHoverBBox: function (jax,span,math) {
       var bbox = jax.root.CHTML, em = jax.CHTML.outerEm;
       var BBOX = {w:bbox.w*em, h:bbox.h*em, d:bbox.d*em};
       if (bbox.width) {BBOX.width = bbox.width}
       return BBOX;
     },
     
     Zoom: function (jax,span,math,Mw,Mh) {
       //
       //  Re-render at larger size
       //
       this.getMetrics(jax);
       var node = CHTML.addElement(span,"mjx-chtml",{style:{"font-size":Math.floor(CHTML.scale*100)+"%"},isMathJax:false});
       CHTML.CHTMLnode = node;
       this.idPostfix = "-zoom"; jax.root.toCommonHTML(node); this.idPostfix = "";
       //
       //  Adjust margins to prevent overlaps at the edges
       //
       var style = node.style, bbox = jax.root.CHTML;
       if (bbox.t > bbox.h) style.marginTop = CHTML.Em(bbox.t-bbox.h);
       if (bbox.b > bbox.d) style.marginBottom = CHTML.Em(bbox.b-bbox.d);
       if (bbox.l < 0) style.paddingLeft = CHTML.Em(-bbox.l);
       if (bbox.r > bbox.w) style.marginRight = CHTML.Em(bbox.r-bbox.w);
       //
       //  Get height and width of zoomed math and original math
       //
       style.position = "absolute";
       var zW = node.offsetWidth, zH = node.offsetHeight,
           mH = math.firstChild.offsetHeight, mW = math.firstChild.offsetWidth;
       node.style.position = "";
       //
       return {Y:-EVENT.getBBox(span).h, mW:mW, mH:mH, zW:zW, zH:zH};
     },
 
     Remove: function (jax) {
       var node = document.getElementById(jax.inputID+"-Frame");
       if (node && jax.CHTML.display) node = node.parentNode;
       if (node) node.parentNode.removeChild(node);
       delete jax.CHTML;
     },
     
     /********************************************/
     
     ID: 0, idPostfix: "",
     GetID: function () {this.ID++; return this.ID},
     
     /********************************************/
 
     MATHSPACE: {
       veryverythinmathspace:  1/18,
       verythinmathspace:      2/18,
       thinmathspace:          3/18,
       mediummathspace:        4/18,
       thickmathspace:         5/18,
       verythickmathspace:     6/18,
       veryverythickmathspace: 7/18,
       negativeveryverythinmathspace:  -1/18,
       negativeverythinmathspace:      -2/18,
       negativethinmathspace:          -3/18,
       negativemediummathspace:        -4/18,
       negativethickmathspace:         -5/18,
       negativeverythickmathspace:     -6/18,
       negativeveryverythickmathspace: -7/18,
 
       thin: .04,
       medium: .06,
       thick: .1,
 
       infinity: BIGDIMEN
     },
     SPACECLASS: {
       thinmathspace:   "MJXc-space1",
       mediummathspace: "MJXc-space2",
       thickmathspace:  "MJXc-space3"
     },
     pxPerInch: 96,
     em: 16,
     
     maxStretchyParts: 1000,            // limit the number of parts allowed for
                                        // stretchy operators. See issue 366.
 
     FONTDEF: {},
     TEXDEF: {
       x_height:         .442,
       quad:             1,
       num1:             .676508,
       num2:             .393732,
       num3:             .44373,
       denom1:           .685951,
       denom2:           .344841,
       sup1:             .412892,
       sup2:             .362892,
       sup3:             .288888,
       sub1:             .15,
       sub2:             .247217,
       sup_drop:         .386108,
       sub_drop:         .05,
       delim1:          2.39,
       delim2:          1.0,
       axis_height:      .25,
       rule_thickness:   .06,
       big_op_spacing1:  .111111,
       big_op_spacing2:  .166666,
       big_op_spacing3:  .2,
       big_op_spacing4:  .45, //.6,  // better spacing for under arrows and braces
       big_op_spacing5:  .1,
 
       surd_height:      .075,
       
       scriptspace:         .05,
       nulldelimiterspace:  .12,
       delimiterfactor:     901,
       delimitershortfall:   .3,
 
       min_rule_thickness:  1.25     // in pixels
     },
     
     /********************************************************/
     
     //
     //  Get a unicode character by number (even when it takes two character)
     //
     unicodeChar: function (n) {
       if (n < 0xFFFF) return String.fromCharCode(n);
       n -= 0x10000;
       return String.fromCharCode((n>>10)+0xD800) + String.fromCharCode((n&0x3FF)+0xDC00);
     },
     //
     //  Get the unicode number of a (possibly multi-character) string
     //
     getUnicode: function (string) {
       var n = string.text.charCodeAt(string.i); string.i++;
       if (n >= 0xD800 && n < 0xDBFF) {
         n = (((n-0xD800)<<10)+(string.text.charCodeAt(string.i)-0xDC00))+0x10000;
         string.i++;
       }
       return n;
     },
     //
     //  Get the list of actions for a given character in a given variant
     //  (processing remaps, multi-character results, and so on).  Results are
     //  cached so that future lookups for the same variant/n pair will not
     //  require looking through the data again.
     //
     getCharList: function (variant,n) {
       var id, M, list = [], cache = variant.cache, nn = n;
       if (cache[n]) return cache[n];
       var RANGES = this.FONTDATA.RANGES, VARIANT = this.FONTDATA.VARIANT;
       if (n >= RANGES[0].low && n <= RANGES[RANGES.length-1].high) {
         for (id = 0, M = RANGES.length; id < M; id++) {
           if (RANGES[id].name === "alpha" && variant.noLowerCase) continue;
           var N = variant["offset"+RANGES[id].offset];
           if (N && n >= RANGES[id].low && n <= RANGES[id].high) {
             if (RANGES[id].remap && RANGES[id].remap[n]) {
               n = N + RANGES[id].remap[n];
             } else {
               n = n - RANGES[id].low + N;
               if (RANGES[id].add) {n += RANGES[id].add}
             }
             if (variant["variant"+RANGES[id].offset])
               variant = VARIANT[variant["variant"+RANGES[id].offset]];
             break;
           }
         }
       }
       if (variant.remap && variant.remap[n]) {
         n = variant.remap[n];
         if (variant.remap.variant) {variant = VARIANT[variant.remap.variant]}
       } else if (this.FONTDATA.REMAP[n] && !variant.noRemap) {
         n = this.FONTDATA.REMAP[n];
       }
       if (n instanceof Array) {variant = VARIANT[n[1]]; n = n[0]} 
       if (typeof(n) === "string") {
         var string = {text:n, i:0, length:n.length};
         while (string.i < string.length) {
           n = this.getUnicode(string);
           var chars = this.getCharList(variant,n);
           if (chars) list.push.apply(list,chars);
         }
       } else {
         if (variant.cache[n]) {list = variant.cache[n]}
           else {variant.cache[n] = list = [this.lookupChar(variant,n)]}
       }
       cache[nn] = list;
       return list;
     },
     //
     //  After all remapping has been done, look up a character
     //  in the fonts for a given variant, chaining to other
     //  variants as needed.  Return an undefined character if
     //  it isnt' found in the given variant.
     //
     lookupChar: function (variant,n) {
       var VARIANT = variant;
       while (variant) {
         for (var i = 0, m = variant.fonts.length; i < m; i++) {
           var font = this.FONTDATA.FONTS[variant.fonts[i]];
           if (typeof(font) === "string") this.loadFont(font);
           var C = font[n];
           if (C) {
             if (C.length === 5) C[5] = {};
             if (C.c == null) {
               C[0] /= 1000; C[1] /= 1000; C[2] /= 1000; C[3] /= 1000; C[4] /= 1000;
               C.c = this.unicodeChar(n);
             }
             if (C[5].space) return {type:"space", w:C[2], font:font};
             return {type:"char", font:font, n:n};
           } else if (font.Extra) {
             this.findBlock(font,n);
           }
         }
         variant = this.FONTDATA.VARIANT[variant.chain];
       }
       return this.unknownChar(VARIANT,n);
     },
     findBlock: function (font,n) {
       var extra = font.Extra, name = font.file, file;
       for (var i = 0, m = extra.length; i < m; i++) {
         if (typeof(extra[i]) === "number") {
           if (n === extra[i]) {file = name; break}
         } else {
           if (n <  extra[i][0]) return;
           if (n <= extra[i][1]) {file = name; break}
         }
       }
       //
       //  Currently this only loads one extra file, but that
       //  might need to be expanded in the future.
       //
       if (file) {delete font.Extra; this.loadFont(name)}
     },
     //
     //  Create a fake font entry for an unknown character.
     //
     unknownChar: function (variant,n) {
       HUB.signal.Post(["CommonHTML Jax - unknown char",n,variant]);
       var id = ""; if (variant.bold) id += "B"; if (variant.italic) id += "I";
       var unknown = this.FONTDATA.UNKNOWN[id||"R"]; // cache of previously measured characters
       if (!unknown[n]) this.getUnknownChar(unknown,n);
       return {type:"unknown", n:n, font:unknown};
     },
     getUnknownChar: function (unknown,n) {
       var c = this.unicodeChar(n);
       var HDW = this.getHDW(c,unknown.className);
       // ### FIXME:  provide a means of setting the height and depth for individual characters
       unknown[n] = [.8,.2,HDW.w,0,HDW.w,{a:Math.max(0,(HDW.h-HDW.d)/2), h:HDW.h, d:HDW.d}];
       unknown[n].c = c;
     },
     styledText: function (variant,text) {
       HUB.signal.Post(["CommonHTML Jax - styled text",text,variant]);
       var style = variant.style;
       var id = "_"+(style["font-family"]||variant.className||"");
       if (style["font-weight"]) id += "_"+style["font-weight"];
       if (style["font-style"])  id += "_"+style["font-style"];
       if (!this.STYLEDTEXT) this.STYLEDTEXT = {};
       if (!this.STYLEDTEXT[id]) this.STYLEDTEXT[id] = {className:variant.className||""};
       var unknown = this.STYLEDTEXT[id];
       if (!unknown["_"+text]) {
         var HDW = this.getHDW(text,variant.className||"",style);
         unknown["_"+text] = [.8,.2,HDW.w,0,HDW.w,{a:Math.max(0,(HDW.h-HDW.d)/2), h:HDW.h, d:HDW.d}];
         unknown["_"+text].c = text;
       }
       return {type:"unknown", n:"_"+text, font:unknown, style:style, rscale:variant.rscale};
     },
 
     //
     //  Get the height, depth, and width of a character
     //  (height and depth are of the font, not the character).
     //  WARNING:  causes reflow of the page!
     //
     getHDW: function (c,name,styles) {
       var test1 = CHTML.addElement(CHTML.CHTMLnode,"mjx-chartest",{className:name},[["mjx-char",{style:styles},[c]]]);
       var test2 = CHTML.addElement(CHTML.CHTMLnode,"mjx-chartest",{className:name},[["mjx-char",{style:styles},[c,["mjx-box"]]]]);
       test1.firstChild.style.fontSize = test2.firstChild.style.fontSize = "";
       var em = 5*CHTML.em;
       var H1 = test1.offsetHeight, H2 = test2.offsetHeight, W = test1.offsetWidth;
       CHTML.CHTMLnode.removeChild(test1);
       CHTML.CHTMLnode.removeChild(test2);
       if (H2 === 0) {
         em = 5*CHTML.defaultEm;
         var test = document.body.appendChild(document.createElement("div"));
         test.appendChild(test1); test.appendChild(test2);
         H1 = test1.offsetHeight, H2 = test2.offsetHeight, W = test1.offsetWidth;
         document.body.removeChild(test);
       }
       var d = (H2-1000)/em, w = W/em, h = H1/em - d;
       return {h:h, d:d, w:w}
     },
     
 
     /********************************************************/
     
     //
     //  Process a character list into a given node and return
     //  the updated bounding box.
     //
     addCharList: function (node,list,bbox) {
       var state = {text:"", className:null, a:0};
       for (var i = 0, m = list.length; i < m; i++) {
         var item = list[i];
         if (this.charList[item.type]) (this.charList[item.type])(item,node,bbox,state,m);
       }
       if (state.text !== "") {
         if (node.childNodes.length) {
           this.charList.flushText(node,state);
         } else {
           HTML.addText(node,state.text);
           if (node.className) node.className += " "+state.className;
             else node.className = state.className;
         }
       }
       bbox.b = (state.flushed ? 0 : bbox.a);
     },
     //
     //  The various item types are processed by these
     //  functions.
     //
     charList: {
       //
       //  Character from the known fonts
       //
       "char": function (item,node,bbox,state,m) {
         var font = item.font;
         if (state.className && font.className !== state.className) this.flushText(node,state);
         if (!state.a) state.a = font.centerline/1000;
         if (state.a > (bbox.a||0)) bbox.a = state.a;
         var C = font[item.n];
         state.text += C.c; state.className = font.className;
         if (bbox.h < C[0]+HFUZZ) bbox.t = bbox.h = C[0]+HFUZZ;
         if (bbox.d < C[1]+DFUZZ) bbox.b = bbox.d = C[1]+DFUZZ;
         if (bbox.l > bbox.w+C[3]) bbox.l = bbox.w+C[3];
         if (bbox.r < bbox.w+C[4]) bbox.r = bbox.w+C[4];
         bbox.w += C[2] * (item.rscale||1);
         if (m == 1 && font.skew && font.skew[item.n]) bbox.skew = font.skew[item.n];
         if (C[5].rfix) this.flushText(node,state).style.marginRight = CHTML.Em(C[5].rfix/1000);
       },
       //
       //  Space characters (not actually in the fonts)
       //
       space: function (item,node,bbox,state) {
         if (item.w) {
           if (state.text === "") state.className = item.font.className;
           this.flushText(node,state).style.marginRight = CHTML.Em(item.w);
           bbox.w += item.w;
         }
       },
       //
       //  An unknown character (one not in the font data)
       //
       unknown: function (item,node,bbox,state) {
         (this["char"])(item,node,bbox,state,0);
         var C = item.font[item.n];
         if (C[5].a) {
           state.a = C[5].a;
           if (bbox.a == null || state.a > bbox.a) bbox.a = state.a;
         }
         node = this.flushText(node,state,item.style);
         node.style.width = CHTML.Em(C[2]);
       },
       //
       //  Put the pending text into a box of the class, and
       //  reset the data about the text.
       //
       flushText: function (node,state,style) {
         node = CHTML.addElement(node,"mjx-charbox",
           {className:state.className,style:style},[state.text]);
         if (state.a) node.style.paddingBottom = CHTML.Em(state.a);
         state.text = ""; state.className = null; state.a = 0; state.flushed = true;
         return node;
       }
     },
 
     //
     //  Add the given text (in the given variant) into the given node, and
     //  update the bounding box of the result.  Make sure the node's DOM
     //  bounding box matches the contents.
     //
     handleText: function (node,text,variant,bbox) {
       if (node.childNodes.length === 0) {
         CHTML.addElement(node,"mjx-char");
         bbox = CHTML.BBOX.empty(bbox);
       }
       if (typeof(variant) === "string") variant = this.FONTDATA.VARIANT[variant];
       if (!variant) variant = this.FONTDATA.VARIANT[MML.VARIANT.NORMAL];
       var string = {text:text, i:0, length:text.length}, list = [];
       if (variant.style && string.length) {
         list.push(this.styledText(variant,text));
       } else {
         while (string.i < string.length) {
           var n = this.getUnicode(string);
           list.push.apply(list,this.getCharList(variant,n));
         }
       }
       if (list.length) this.addCharList(node.firstChild,list,bbox);
       bbox.clean();
       if (bbox.d < 0) {bbox.D = bbox.d; bbox.d = 0}
       if (bbox.h - bbox.a) node.firstChild.style[bbox.h - bbox.a < 0 ? "marginTop" : "paddingTop"] = this.EmRounded(bbox.h-bbox.a);
       if (bbox.d > -bbox.b) node.firstChild.style.paddingBottom = this.EmRounded(bbox.d+bbox.b);
       return bbox;
     },
 
     /********************************************************/
 
     createDelimiter: function (node,code,HW,BBOX,font) {
       if (!code) {
         var bbox = this.BBOX.zero();
         bbox.w = bbox.r = this.TEX.nulldelimiterspace;
         CHTML.addElement(node,"mjx-box",{style:{width:bbox.w}});
         return bbox;
       }
       if (!(HW instanceof Array)) HW = [HW,HW];
       var hw = HW[1]; HW = HW[0];
       var delim = {alias: code};
       while (delim.alias) {
         code = delim.alias; delim = this.FONTDATA.DELIMITERS[code];
         if (!delim) {delim = {HW: [0,this.FONTDATA.VARIANT[MML.VARIANT.NORMAL]]}}
       }
       if (delim.load) HUB.RestartAfter(AJAX.Require(this.fontDir+"/TeX/fontdata-"+delim.load+".js"));
       for (var i = 0, m = delim.HW.length; i < m; i++) {
         if (delim.HW[i][0] >= HW-.01 || (i == m-1 && !delim.stretch)) {
           if (delim.HW[i][3]) code = delim.HW[i][3];
           bbox = this.createChar(node,[code,delim.HW[i][1]],(delim.HW[i][2]||1),font);
           bbox.offset = .6 * bbox.w;
           if (BBOX) {bbox.scale = BBOX.scale; BBOX.rscale = BBOX.rscale}
           return bbox;
         }
       }
       if (!delim.stretch) return bbox;
       return this["extendDelimiter"+delim.dir](node,hw,delim.stretch,BBOX,font);
     },
     extendDelimiterV: function (node,H,delim,BBOX,font) {
       node = CHTML.addElement(node,"mjx-delim-v"); var tmp = CHTML.Element("span");
       var top, bot, mid, ext, tbox, bbox, mbox, ebox, k = 1, c;
       tbox = this.createChar(tmp,(delim.top||delim.ext),1,font); top = tmp.removeChild(tmp.firstChild);
       bbox = this.createChar(tmp,(delim.bot||delim.ext),1,font); bot = tmp.removeChild(tmp.firstChild);
       mbox = ebox = CHTML.BBOX.zero();
       var h = tbox.h + tbox.d + bbox.h + bbox.d - EFUZZ;
       node.appendChild(top);
       if (delim.mid) {
         mbox = this.createChar(tmp,delim.mid,1,font); mid = tmp.removeChild(tmp.firstChild);
         h += mbox.h + mbox.d; k = 2;
       }
       if (delim.min && H < h*delim.min) H = h*delim.min;
       if (H > h) {
         ebox = this.createChar(tmp,delim.ext,1,font); ext = tmp.removeChild(tmp.firstChild);
         var eH = ebox.h + ebox.d, eh = eH - EFUZZ;
         var n = Math.min(Math.ceil((H-h)/(k*eh)),this.maxStretchyParts);
         if (delim.fullExtenders) H = n*k*eh + h; else eh = (H-h)/(k*n);
         c = ebox.d + ebox.a - eH/2; // for centering of extenders
         ext.style.margin = ext.style.padding = "";
         ext.style.lineHeight = CHTML.Em(eh);
         ext.style.marginBottom = CHTML.Em(c-EFUZZ/2/k);
         ext.style.marginTop = CHTML.Em(-c-EFUZZ/2/k);
         var TEXT = ext.textContent, text = "\n"+TEXT;
         while (--n > 0) TEXT += text;
         ext.textContent = TEXT;
         node.appendChild(ext);
         if (delim.mid) {
           node.appendChild(mid);
           node.appendChild(ext.cloneNode(true));
         }
       } else {
         c = (H-h-EFUZZ) / k;
         top.style.marginBottom = CHTML.Em(c+parseFloat(top.style.marginBottom||"0"));
         if (delim.mid) node.appendChild(mid);
         bot.style.marginTop = CHTML.Em(c+parseFloat(bot.style.marginTop||"0"));
       }
       node.appendChild(bot);
       var vbox = CHTML.BBOX({
         w:  Math.max(tbox.w,ebox.w,bbox.w,mbox.w),
         l: Math.min(tbox.l,ebox.l,bbox.l,mbox.l),
         r: Math.max(tbox.r,ebox.r,bbox.r,mbox.r),
         h: H-bbox.d, d: bbox.d, t: H-bbox.d, b: bbox.d
       });
       vbox.offset = .5 * vbox.w;
       if (BBOX) {vbox.scale = BBOX.scale; vbox.rscale = BBOX.rscale}
       return vbox;
     },
     extendDelimiterH: function (node,W,delim,BBOX,font) {
       node = CHTML.addElement(node,"mjx-delim-h"); var tmp = CHTML.Element("span");
       var left, right, mid, ext, ext2, lbox, rbox, mbox, ebox, k = 1;
       lbox = this.createChar(tmp,(delim.left||delim.rep),1,font); left = tmp.removeChild(tmp.firstChild);
       rbox = this.createChar(tmp,(delim.right||delim.rep),1,font); right = tmp.removeChild(tmp.firstChild);
       ebox = this.createChar(tmp,delim.rep,1,font); ext = tmp.removeChild(tmp.firstChild);
       left.style.marginLeft = CHTML.Em(-lbox.l);
       right.style.marginRight = CHTML.Em(rbox.r-rbox.w);
       node.appendChild(left); 
       var hbox = CHTML.BBOX.zero(); 
       hbox.h = Math.max(lbox.h,rbox.h,ebox.h);
       hbox.d = Math.max(lbox.D||lbox.d,rbox.D||rbox.d,ebox.D||ebox.d);
       var w = (lbox.r - lbox.l) + (rbox.r - rbox.l) - EFUZZ;
       if (delim.mid) {
         mbox = this.createChar(tmp,delim.mid,1,font);
         mid = tmp.removeChild(tmp.firstChild);
         mid.style.marginleft = CHTML.Em(-mbox.l); mid.style.marginRight = CHTML.Em(mbox.r-mbox.w);
         w += mbox.r - mbox.l + EFUZZ; k = 2;
         if (mbox.h > hbox.h) hbox.h = mbox.h;
         if (mbox.d > hbox.d) hbox.d = mbox.d;
       }
       if (delim.min && W < w*delim.min) W = w*delim.min;
       hbox.w = hbox.r = W;
       if (W > w) {
         var eW = ebox.r-ebox.l, ew = eW - EFUZZ;
         var n = Math.min(Math.ceil((W-w)/(k*ew)),this.maxStretchyParts);
         if (delim.fullExtenders) W = n*k*ew + w; else ew = (W-w)/(k*n);
         var c = (eW - ew + EFUZZ/k) / 2; // for centering of extenders
         ext.style.marginLeft = CHTML.Em(-ebox.l-c);
         ext.style.marginRight = CHTML.Em(ebox.r-ebox.w+c);
         ext.style.letterSpacing = CHTML.Em(-(ebox.w-ew));
         left.style.marginRight = CHTML.Em(lbox.r-lbox.w);
         right.style.marginleft = CHTML.Em(-rbox.l);
         var TEXT = ext.textContent, text = TEXT;
         while (--n > 0) TEXT += text;
         ext.textContent = TEXT;
         node.appendChild(ext);
         if (delim.mid) {
           node.appendChild(mid);
           ext2 = node.appendChild(ext.cloneNode(true));
         }
       } else {
         c = (W-w-EFUZZ/k) / 2;
         left.style.marginRight = CHTML.Em(lbox.r-lbox.w+c);
         if (delim.mid) node.appendChild(mid);
         right.style.marginLeft = CHTML.Em(-rbox.l+c);
       }
       node.appendChild(right);
       this.adjustHeights([left,ext,mid,ext2,right],[lbox,ebox,mbox,ebox,rbox],hbox);
       if (BBOX) {hbox.scale = BBOX.scale; hbox.rscale = BBOX.rscale}
       return hbox;
     },
     adjustHeights: function (nodes,box,bbox) {
       //
       //  To get alignment right in horizontal delimiters, we force all
       //  the elements to the same height and depth
       //
       var T = bbox.h, B = bbox.d;
       if (bbox.d < 0) {B = -bbox.d; bbox.D = bbox.d; bbox.d = 0}
       for (var i = 0, m = nodes.length; i < m; i++) if (nodes[i]) {
         nodes[i].style.paddingTop = CHTML.Em(T-box[i].a);
         nodes[i].style.paddingBottom = CHTML.Em(B+box[i].a);
         nodes[i].style.marginTop = nodes[i].style.marginBottom = 0;
       }
     },
     createChar: function (node,data,scale,font) {
       // ### FIXME: handle cache better (by data[1] and font)
       var text = "", variant = {fonts: [data[1]], noRemap:true, cache:{}};
       if (font && font === MML.VARIANT.BOLD && this.FONTDATA.FONTS[data[1]+"-Bold"])
         variant.fonts = [data[1]+"-Bold",data[1]];
       if (typeof(data[1]) !== "string") variant = data[1];
       if (data[0] instanceof Array) {
         for (var i = 0, m = data[0].length; i < m; i++) text += String.fromCharCode(data[0][i]);
       } else text = String.fromCharCode(data[0]);
       if (data[4]) scale *= data[4];
       var bbox = this.handleText(node,text,variant), style = node.firstChild.style;
       if (scale !== 1) style.fontSize = this.Percent(scale);
       if (data[2]) {  // x offset
         style.paddingLeft = this.Em(data[2]);
         bbox.w += data[2]; bbox.r += data[2];
       }
       if (data[3]) {  // y offset
         style.verticalAlign = this.Em(data[3]);
         bbox.h += data[3]; if (bbox.h < 0) bbox.h = 0;
       }
       if (data[5]) {  // extra height
         style.marginTop = this.Em(data[5]);
         bbox.h += data[5]; bbox.t += data[5];
       }
       if (data[6]) {  // extra depth
         style.marginBottom = this.Em(data[6]);
         bbox.d += data[6]; bbox.b += data[6];
       }
       return bbox;
     },
 
     /********************************************************/
     
     //
     //  ### FIXME: Handle mu's
     //
     length2em: function (length,size,scale) {
       if (typeof(length) !== "string") length = length.toString();
       if (length === "") return "";
       if (length === MML.SIZE.NORMAL) return 1;
       if (length === MML.SIZE.BIG)    return 2;
       if (length === MML.SIZE.SMALL)  return .71;
       if (this.MATHSPACE[length])     return this.MATHSPACE[length];
       var match = length.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);
       var m = parseFloat(match[1]||"1"), unit = match[2];
       if (size == null) size = 1;  if (!scale) scale = 1;
       scale = 1 /this.em / scale;
       if (unit === "em") return m;
       if (unit === "ex") return m * this.TEX.x_height;
       if (unit === "%")  return m / 100 * size;
       if (unit === "px") return m * scale;
       if (unit === "pt") return m / 10;                 // 10 pt to an em
       if (unit === "pc") return m * 1.2;                // 12 pt to a pc
       scale *= this.pxPerInch;
       if (unit === "in") return m * scale;
       if (unit === "cm") return m * scale / 2.54;       // 2.54 cm to an inch
       if (unit === "mm") return m * scale / 25.4;       // 10 mm to a cm
       if (unit === "mu") return m / 18;                 // 18mu to an em for the scriptlevel
       return m*size;  // relative to given size (or 1em as default)
     },
     thickness2em: function (length,scale) {
       var thick = CHTML.TEX.rule_thickness/(scale||1);
       if (length === MML.LINETHICKNESS.MEDIUM) return thick;
       if (length === MML.LINETHICKNESS.THIN)   return .67*thick;
       if (length === MML.LINETHICKNESS.THICK)  return 1.67*thick;
       return this.length2em(length,thick,scale);
     },
 
     Em: function (m) {
       if (Math.abs(m) < .001) return "0";
       return (m.toFixed(3).replace(/\.?0+$/,""))+"em";
     },
     EmRounded: function (m) {
       m = (Math.round(m*CHTML.em)+.05)/CHTML.em;
       if (Math.abs(m) < .0006) {return "0em"}
       return m.toFixed(3).replace(/\.?0+$/,"") + "em";
     },
     unEm: function (m) {
       return parseFloat(m);
     },
     Px: function (m,M) {
       m *= this.em;
       if (M && m < M) m = M;
       if (Math.abs(m) < .1) return "0";
       return m.toFixed(1).replace(/\.0$/,"")+"px";
     },
     
     Percent: function (m) {
       return (100*m).toFixed(1).replace(/\.?0+$/,"") + "%";
     },
     
     Transform: function (node,trans,origin) {
       var style = node.style;
       style.transform = style.WebkitTransform = style.MozTransform = style["-ms-transform"] = trans;
       if (origin)
         style.transformOrigin = style.WebkitTransformOrigin =
           style.MozTransformOrigin = style["-ms-transform-origin"] = origin;
     },
 
     /********************************************************/
     
     arrayEntry: function (a,i) {return a[Math.max(0,Math.min(i,a.length-1))]},
 
     //
     //  Styles to be removed from style="..." attributes
     //
     removeStyles: ["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]
     
   });
 
   /**********************************************************/
 
   CHTML.BBOX = MathJax.Object.Subclass({
     Init: function (def) {
       for (var id in def) {
         if (def.hasOwnProperty(id)) this[id] = def[id];
       }
     },
     clean: function () {
       if (this.h === -BIGDIMEN) this.h = 0;
       if (this.d === -BIGDIMEN) this.d = 0;
       if (this.l ===  BIGDIMEN) this.l = 0;
       if (this.r === -BIGDIMEN) this.r = 0;
       if (this.t === -BIGDIMEN) this.t = 0;
       if (this.b === -BIGDIMEN) this.b = 0;
       if (this.D && this.d > 0) delete this.D;
     },
     rescale: function (scale) {
       this.w *= scale; this.h *= scale; this.d *= scale;
       this.l *= scale; this.r *= scale; this.t *= scale; this.b *= scale;
       if (this.L) this.L *= scale;
       if (this.R) this.R *= scale;
       if (this.D) this.D *= scale;
     },
     combine: function (cbox,x,y) {
       cbox.X = x; cbox.Y = y;  // save for use with line breaking
       scale = cbox.rscale;
       if (x + scale*cbox.r > this.r) this.r = x + scale*cbox.r;
       if (x + scale*cbox.l < this.l) this.l = x + scale*cbox.l;
       if (x + scale*(cbox.w+(cbox.L||0)+(cbox.R||0)) > this.w)
         this.w  = x + scale*(cbox.w + (cbox.L||0) + (cbox.R||0));
       if (y + scale*cbox.h > this.h) this.h = y + scale*cbox.h;
       if (cbox.D && (this.D == null || scale*cbox.D - y > this.D) && scale*cbox.D > this.d) this.D = scale*cbox.D - y;
         else if (cbox.D == null && this.D) delete this.D;
       if (scale*cbox.d - y > this.d) this.d = scale*cbox.d - y;
       if (y + scale*cbox.t > this.t) this.t = y + scale*cbox.t;
       if (scale*cbox.b - y > this.b) this.b = scale*cbox.b - y;
     },
     append: function (cbox) {
       scale = cbox.rscale; var x = this.w;
       if (x + scale*cbox.r > this.r) this.r = x + scale*cbox.r;
       if (x + scale*cbox.l < this.l) this.l = x + scale*cbox.l;
       this.w += scale*(cbox.w+(cbox.L||0)+(cbox.R||0)) ;
       if (scale*cbox.h > this.h) this.h = scale*cbox.h;
       if (cbox.D && (this.D == null || scale*cbox.D > this.D) && scale*cbox.D > this.d) this.D = scale*cbox.D;
         else if (cbox.D == null && this.D) delete this.D;
       if (scale*cbox.d > this.d) this.d = scale*cbox.d;
       if (scale*cbox.t > this.t) this.t = scale*cbox.t;
       if (scale*cbox.b > this.b) this.b = scale*cbox.b;
     },
     updateFrom: function (cbox) {
       this.h = cbox.h; this.d = cbox.d; this.w = cbox.w; this.r = cbox.r; this.l = cbox.l;
       this.t = cbox.t; this.b = cbox.b;
       if (cbox.D) this.D = cbox.D; else delete this.D;
     },
     adjust: function (m,x,X,M) {
       this[x] += CHTML.length2em(m,1,this.scale);
       if (M == null) {
         if (this[x] > this[X]) this[X] = this[x];
       } else {
         if (this[X] < M) this[X] = M;
       }
     }
   },{
     zero: function () {
       return CHTML.BBOX({h:0, d:0, w:0, l:0, r:0, t:0, b:0, scale:1, rscale:1});
     },
     empty: function (bbox) {
       if (!bbox) bbox = CHTML.BBOX.zero();
       bbox.h = bbox.d = bbox.r = bbox.t = bbox.b = -BIGDIMEN;
       bbox.w = 0;  bbox.l = BIGDIMEN;
       return bbox;
     },
     //
     //  CSS styles that affect BBOXes
     //
     styleAdjust: [
       ["borderTopWidth","h","t"],
       ["borderRightWidth","w","r"],
       ["borderBottomWidth","d","b"],
       ["borderLeftWidth","w","l",0],
       ["paddingTop","h","t"],
       ["paddingRight","w","r"],
       ["paddingBottom","d","b"],
       ["paddingLeft","w","l",0],
     ]
   });
   
   /**********************************************************/
 
   MathJax.Hub.Register.StartupHook("mml Jax Ready",function () {
     MML = MathJax.ElementJax.mml;
 
     /********************************************************/
     
     MML.mbase.Augment({
       toCommonHTML: function (node,options) {
         return this.CHTMLdefaultNode(node,options);
       },
       CHTMLmultiline: function () {MML.mbase.CHTMLautoloadFile("multiline")},
 
       CHTMLdefaultNode: function (node,options) {
         if (!options) options = {};
         node = this.CHTMLcreateNode(node); this.CHTML = CHTML.BBOX.empty();
         this.CHTMLhandleStyle(node);
         this.CHTMLhandleScale(node);
         if (this.isToken) this.CHTMLgetVariant();
         var m = Math.max((options.minChildren||0),this.data.length);
         for (var i = 0; i < m; i++) this.CHTMLaddChild(node,i,options);
         if (!options.noBBox) this.CHTML.clean();
         this.CHTMLhandleSpace(node);
         this.CHTMLhandleBBox(node);
         this.CHTMLhandleColor(node);
         return node;
       },
       CHTMLaddChild: function (node,i,options) {
         var child = this.data[i], cnode;
         if (child) {
           var type = options.childNodes;
           if (type) {
             if (type instanceof Array) type = type[i]||"span";
             node = CHTML.addElement(node,type);
           }
           cnode = child.toCommonHTML(node,options.childOptions);
           if (type && child.CHTML.rscale !== 1) {
             // move scale factor to outer container (which seems to be more accurate)
             node.style.fontSize = node.firstChild.style.fontSize;
             node.firstChild.style.fontSize = "";
           }
           if (!options.noBBox) {
             var bbox = this.CHTML, cbox = child.CHTML;
             bbox.append(cbox);
             if (cbox.ic) {bbox.ic = cbox.ic} else {delete bbox.ic}
             if (cbox.skew) bbox.skew = cbox.skew;
             if (cbox.pwidth) bbox.pwidth = cbox.pwidth;
           }
         } else if (options.forceChild) {cnode = CHTML.addElement(node,"mjx-box")}
         return cnode;
       },
       
       CHTMLchildNode: function (node,i) {
         node = node.childNodes[i];
         if (node.nodeName.toLowerCase() === "a") node = node.firstChild;
         return node;
       },
       CHTMLcoreNode: function (node) {
         return this.CHTMLchildNode(node,this.CoreIndex());
       },
       
       CHTMLstretchChildV: function (i,H,D) {
         var data = this.data[i];
         if (data) {
           var bbox = this.CHTML, dbox = data.CHTML;
           if (dbox.stretch || (dbox.stretch == null && data.CHTMLcanStretch("Vertical",H,D))) {
             var w = dbox.w;
             dbox = data.CHTMLstretchV(H,D);
             bbox.w += dbox.w - w;
             if (bbox.w > bbox.r) bbox.r = bbox.w;
             if (dbox.h > bbox.h) bbox.h = dbox.h;
             if (dbox.d > bbox.d) bbox.d = dbox.d;
             if (dbox.t > bbox.t) bbox.t = dbox.t;
             if (dbox.b > bbox.b) bbox.b = dbox.b;
           }
         }
       },
       CHTMLstretchChildH: function (i,W,node) {
         var data = this.data[i];
         if (data) {
           var bbox = this.CHTML, dbox = data.CHTML;
           if (dbox.stretch || (dbox.stretch == null && data.CHTMLcanStretch("Horizontal",W))) {
             var w = dbox.w;
             dbox = data.CHTMLstretchH(this.CHTMLchildNode(node,i),W);
             bbox.w += dbox.w - w;
             if (bbox.w > bbox.r) bbox.r = bbox.w;
             if (dbox.h > bbox.h) bbox.h = dbox.h;
             if (dbox.d > bbox.d) bbox.d = dbox.d;
             if (dbox.t > bbox.t) bbox.t = dbox.t;
             if (dbox.b > bbox.b) bbox.b = dbox.b;
           }
         }
       },
 
       CHTMLcanStretch: function (direction,H,D) {
         var stretch = false;
         if (this.isEmbellished()) {
           var core = this.Core();
           if (core && core !== this) stretch = core.CHTMLcanStretch(direction,H,D);
         }
         this.CHTML.stretch = stretch;
         return stretch;
       },
       CHTMLstretchV: function (h,d) {
         this.CHTML.updateFrom(this.Core().CHTMLstretchV(h,d));
         return this.CHTML;
       },
       CHTMLstretchH: function (node,w) {
         this.CHTML.updateFrom(this.CHTMLstretchCoreH(node,w));
         return this.CHTML;
       },
       CHTMLstretchCoreH: function (node,w) {
         return this.Core().CHTMLstretchH(this.CHTMLcoreNode(node),w);
       },
 
       CHTMLcreateNode: function (node) {
         if (!this.CHTML) this.CHTML = {};
         this.CHTML = CHTML.BBOX.zero();
         if (this.href) node = CHTML.addElement(node,"a",{href:this.href, isMathJax:true});
         if (!this.CHTMLnodeID) this.CHTMLnodeID = CHTML.GetID();
         var id = (this.id || "MJXc-Node-"+this.CHTMLnodeID)+CHTML.idPostfix;
         return this.CHTMLhandleAttributes(CHTML.addElement(node,"mjx-"+this.type,{id:id}));
       },
       CHTMLnodeElement: function () {
         if (!this.CHTMLnodeID) {return null}
         return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+CHTML.idPostfix);
       },
       
       CHTMLlength2em: function (length,size) {
         return CHTML.length2em(length,size,this.CHTML.scale);
       },
       
       CHTMLhandleAttributes: function (node) {
         if (this["class"]) {
           if (node.className) node.className += " "+this["class"];
             else node.className = this["class"];
         }
         //
         //  Copy RDFa, aria, and other tags from the MathML to the CHTML
         //  output nodes.  Don't copy those in the MML.nocopyAttributes list,
         //  the ignoreMMLattributes configuration list, or anything that
         //  already exists as a property of the node (e.g., no "onlick", etc.)
         //  If a name in the ignoreMMLattributes object is set to false, then
         //  the attribute WILL be copied.
         //
         if (this.attrNames) {
           var copy = this.attrNames, skip = MML.nocopyAttributes, ignore = HUB.config.ignoreMMLattributes;
           var defaults = (this.type === "mstyle" ? MML.math.prototype.defaults : this.defaults);
           for (var i = 0, m = copy.length; i < m; i++) {
             var id = copy[i];
             if (ignore[id] == false || (!skip[id] && !ignore[id] &&
                 defaults[id] == null && typeof(node[id]) === "undefined")) {
               node.setAttribute(id,this.attr[id])
             }
           }
         }
         return node;
       },
 
       CHTMLhandleScale: function (node) {
         var scale = 1, parent = this.parent, pscale = (parent ? parent.CHTML.scale : 1);
         var values = this.getValues("scriptlevel","fontsize");
         values.mathsize = this.Get("mathsize",null,!this.isToken);
         if (values.scriptlevel !== 0) {
           if (values.scriptlevel > 2) values.scriptlevel = 2;
           scale = Math.pow(this.Get("scriptsizemultiplier"),values.scriptlevel);
           values.scriptminsize = CHTML.length2em(this.Get("scriptminsize"),.8,1);
           if (scale < values.scriptminsize) scale = values.scriptminsize;
         }
         if (this.removedStyles && this.removedStyles.fontSize && !values.fontsize)
           values.fontsize = this.removedStyles.fontSize;
         if (values.fontsize && !this.mathsize) values.mathsize = values.fontsize;
         if (values.mathsize !== 1) scale *= CHTML.length2em(values.mathsize,1,1);
         this.CHTML.scale = scale; pscale = this.CHTML.rscale = scale/pscale;
         if (Math.abs(pscale-1) < .001) pscale = 1;
         if (node && pscale !== 1) node.style.fontSize = CHTML.Percent(pscale);
         return scale;
       },
 
       CHTMLhandleStyle: function (node) {
         if (!this.style) return;
         var style = node.style;
         style.cssText = this.style; this.removedStyles = {};
         for (var i = 0, m = CHTML.removeStyles.length; i < m; i++) {
           var id = CHTML.removeStyles[i];
           if (style[id]) {
             this.removedStyles[id] = style[id];
             style[id] = "";
           }
         }
       },
 
       CHTMLhandleBBox: function (node) {
         var BBOX = this.CHTML, style = node.style;
         if (this.data.length === 1 && (this.data[0].CHTML||{}).pwidth) {
           BBOX.pwidth = this.data[0].CHTML.pwidth;
           BBOX.mwidth = this.data[0].CHTML.mwidth;
           style.width = "100%";
         } else if (BBOX.pwidth) {
           BBOX.mwidth = CHTML.Em(BBOX.w);
           style.width = "100%";
         } else if (BBOX.w < 0) {
           style.width = "0px";
           style.marginRight = CHTML.Em(BBOX.w);
         }
         if (!this.style) return;
         // ### FIXME:  adjust for width, height, vertical-align?
         for (var i = 0, m = CHTML.BBOX.styleAdjust.length; i < m; i++) {
           var data = CHTML.BBOX.styleAdjust[i];
           if (data && style[data[0]]) BBOX.adjust(style[data[0]],data[1],data[2],data[3]);
         }
       },
 
       CHTMLhandleColor: function (node) {
         if (this.mathcolor) {node.style.color = this.mathcolor}
           else if (this.color) {node.style.color = this.color}
         if (this.mathbackground) {node.style.backgroundColor = this.mathbackground}
           else if (this.background) {node.style.backgroundColor = this.background}
       },
       
       CHTMLhandleSpace: function (node) {
         if (!this.useMMLspacing) {
           var space = this.texSpacing();
           if (space !== "") {
             this.CHTML.L = this.CHTMLlength2em(space);
             node.className += " "+CHTML.SPACECLASS[space];
           }
         }
       },
 
       CHTMLhandleText: function (node,text,variant) {
         if (node.firstChild && !this.CHTML) this.CHTML = CHTML.BBOX.empty();
         this.CHTML = CHTML.handleText(node,text,variant,this.CHTML);
       },
       
       CHTMLgetVariant: function () {
         var values = this.getValues("mathvariant","fontfamily","fontweight","fontstyle"), style;
         values.hasVariant = this.Get("mathvariant",true);  // null if not explicitly specified
         if (this.removedStyles) {
           style = this.removedStyles;
           if (style.fontFamily) values.family = style.fontFamily;
           if (style.fontWeight) values.weight = style.fontWeight;
           if (style.fontStyle)  values.style  = style.fontStyle;
         }
         if (!values.hasVariant) {
           if (values.fontfamily) values.family = values.fontfamily;
           if (values.fontweight) values.weight = values.fontweight;
           if (values.fontstyle)  values.style  = values.fontstyle;
         }
         if (values.weight && values.weight.match(/^\d+$/))
             values.weight = (parseInt(values.weight) > 600 ? "bold" : "normal");
         var variant = values.mathvariant; if (this.variantForm) variant = "-TeX-variant";
         if (values.family && !values.hasVariant) {
           if (!values.weight && values.mathvariant.match(/bold/)) values.weight = "bold";
           if (!values.style && values.mathvariant.match(/italic/)) values.style = "italic";
           this.CHTMLvariant = {fonts:[], noRemap:true, cache:{}, style: {
             "font-family":values.family, "font-weight":values.weight||"normal", "font-style":values.style||"normal"
           }};
           return;
         }
         if (values.weight === "bold") {
           variant = {
             normal:MML.VARIANT.BOLD, italic:MML.VARIANT.BOLDITALIC,
             fraktur:MML.VARIANT.BOLDFRAKTUR, script:MML.VARIANT.BOLDSCRIPT,
             "sans-serif":MML.VARIANT.BOLDSANSSERIF,
             "sans-serif-italic":MML.VARIANT.SANSSERIFBOLDITALIC
           }[variant]||variant;
         } else if (values.weight === "normal") {
           variant = {
             bold:MML.VARIANT.normal, "bold-italic":MML.VARIANT.ITALIC,
             "bold-fraktur":MML.VARIANT.FRAKTUR, "bold-script":MML.VARIANT.SCRIPT,
             "bold-sans-serif":MML.VARIANT.SANSSERIF,
             "sans-serif-bold-italic":MML.VARIANT.SANSSERIFITALIC
           }[variant]||variant;
         }
         if (values.style === "italic") {
           variant = {
             normal:MML.VARIANT.ITALIC, bold:MML.VARIANT.BOLDITALIC,
             "sans-serif":MML.VARIANT.SANSSERIFITALIC,
             "bold-sans-serif":MML.VARIANT.SANSSERIFBOLDITALIC
           }[variant]||variant;
         } else if (values.style === "normal") {
           variant = {
             italic:MML.VARIANT.NORMAL, "bold-italic":MML.VARIANT.BOLD,
             "sans-serif-italic":MML.VARIANT.SANSSERIF,
             "sans-serif-bold-italic":MML.VARIANT.BOLDSANSSERIF
           }[variant]||variant;
         }
         this.CHTMLvariant = CHTML.FONTDATA.VARIANT[variant] ||
                             CHTML.FONTDATA.VARIANT[MML.VARIANT.NORMAL];
       },
 
       CHTMLbboxFor: function (n) {
         if (this.data[n] && this.data[n].CHTML) return this.data[n].CHTML;
         return CHTML.BBOX.zero();
       },
       //
       //  Debugging function to see if internal BBox matches actual bbox
       //
       CHTMLdrawBBox: function (node,bbox) {
         if (!bbox) bbox = this.CHTML;
         var box = CHTML.Element("mjx-box",
           {style:{opacity:.25,"margin-left":CHTML.Em(-(bbox.w+(bbox.R||0)))}},[
           ["mjx-box",{style:{
             height:CHTML.Em(bbox.h),width:CHTML.Em(bbox.w),
             "background-color":"red"
           }}],
           ["mjx-box",{style:{
             height:CHTML.Em(bbox.d),width:CHTML.Em(bbox.w),
             "margin-left":CHTML.Em(-bbox.w),"vertical-align":CHTML.Em(-bbox.d),
             "background-color":"green"
           }}]
         ]);
         if (node.nextSibling) {node.parentNode.insertBefore(box,node.nextSibling)}
           else {node.parentNode.appendChild(box)}
       },
 
       CHTMLnotEmpty: function (mml) {
         while (mml && mml.data.length < 2 && (mml.type === "mrow" || mml.type === "texatom"))
           mml = mml.data[0];
         return !!mml;
       }
 
     },{
       //
       //  Autoload files based on node type or file name
       //
       CHTMLautoload: function () {
 	var file = CHTML.autoloadDir+"/"+this.type+".js";
 	HUB.RestartAfter(AJAX.Require(file));
       },
       CHTMLautoloadFile: function (name) {
 	var file = CHTML.autoloadDir+"/"+name+".js";
 	HUB.RestartAfter(AJAX.Require(file));
       },
       //
       //  For use with embellished operators
       //
       CHTMLstretchV: function (h,d) {
         this.Core().CHTMLstretchV(h,d);
         this.toCommonHTML(this.CHTMLnodeElement(),true);
         return this.CHTML;
       },
       CHTMLstretchH: function (node,w) {
         this.CHTMLstretchCoreH(node,w);
         this.toCommonHTML(node,true);
         return this.CHTML;
       }      
     });
 
     /********************************************************/
     
     MML.chars.Augment({
       toCommonHTML: function (node,options) {
         if (options == null) options = {};
         var text = this.toString();
         if (options.remap) text = options.remap(text,options.remapchars);
         this.CHTMLhandleText(node,text,options.variant||this.parent.CHTMLvariant);
       }
     });
     MML.entity.Augment({
       toCommonHTML: function (node,options) {
         if (options == null) options = {};
         var text = this.toString();
         if (options.remapchars) text = options.remap(text,options.remapchars);
         this.CHTMLhandleText(node,text,options.variant||this.parent.CHTMLvariant);
       }
     });
 
     /********************************************************/
     
     MML.math.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         if (this.CHTML.w < 0) {
           node.parentNode.style.width = "0px";
           node.parentNode.style.marginRight = CHTML.Em(this.CHTML.w);
         }
         var alttext = this.Get("alttext");
         if (alttext && !node.getAttribute("aria-label")) node.setAttribute("aria-label",alttext);
         if (!node.getAttribute("role")) node.setAttribute("role","math");
         if (this.CHTML.pwidth) {
           node.parentNode.style.width = this.CHTML.pwidth;
           node.parentNode.style.minWidth = this.CHTML.mwidth||CHTML.Em(this.CHTML.w);
         } else if (!this.isMultiline && this.Get("display") === "block") {
           var values = this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");
           if (values.indentalignfirst !== MML.INDENTALIGN.INDENTALIGN) values.indentalign = values.indentalignfirst;
           if (values.indentalign === MML.INDENTALIGN.AUTO) values.indentalign = CONFIG.displayAlign;
           if (values.indentshiftfirst !== MML.INDENTSHIFT.INDENTSHIFT) values.indentshift = values.indentshiftfirst;
           if (values.indentshift === "auto") values.indentshift = "0";
           var shift = this.CHTMLlength2em(values.indentshift,CHTML.cwidth);
           if (CONFIG.displayIndent !== "0") {
             var indent = this.CHTMLlength2em(CONFIG.displayIndent,CHTML.cwidth);
             shift += (values.indentalign === MML.INDENTALIGN.RIGHT ? -indent : indent);
           }
           var styles = node.parentNode.parentNode.style;
           styles.textAlign = values.indentalign;
           // ### FIXME: make percentage widths respond to changes in container
           if (shift) {
             shift *= CHTML.em/CHTML.outerEm;
             HUB.Insert(styles,({
               left: {marginLeft: CHTML.Em(shift)},
               right: {marginRight: CHTML.Em(-shift)},
               center: {marginLeft: CHTML.Em(shift), marginRight: CHTML.Em(-shift)}
             })[values.indentalign]);
           }
         }
         return node;
       }
     });
     
     /********************************************************/
     
     MML.mi.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         var bbox = this.CHTML, text = this.data.join("");
         if (bbox.skew != null && text.length !== 1) delete bbox.skew;
         if (bbox.r > bbox.w && text.length === 1 && !this.CHTMLvariant.noIC) {
           bbox.ic = bbox.r - bbox.w; bbox.w = bbox.r;
           node.lastChild.style.paddingRight = CHTML.Em(bbox.ic);
         }
         return node;
       }
     });
 
     /********************************************************/
     
     MML.mn.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         var bbox = this.CHTML, text = this.data.join("");
         if (bbox.skew != null && text.length !== 1) delete bbox.skew;
         if (bbox.r > bbox.w && text.length === 1 && !this.CHTMLvariant.noIC) {
           bbox.ic = bbox.r - bbox.w; bbox.w = bbox.r;
           node.lastChild.style.paddingRight = CHTML.Em(bbox.ic);
         }
         return node;
       }
     });
 
     /********************************************************/
     
     MML.mo.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLcreateNode(node);
         this.CHTMLhandleStyle(node);
         this.CHTMLhandleScale(node);
         this.CHTMLgetVariant();
         CHTML.BBOX.empty(this.CHTML);
         
         var values = this.getValues("displaystyle","largeop");
         values.variant = this.CHTMLvariant;
         values.text = this.data.join("");
         if (values.text == "") {
           if (this.fence) node.style.width = CHTML.Em(CHTML.TEX.nulldelimiterspace);
         } else {
           this.CHTMLadjustAccent(values);
           this.CHTMLadjustVariant(values);
 
           for (var i = 0, m = this.data.length; i < m; i++) {
             this.CHTMLaddChild(node,i,{childOptions:{
               variant: values.mathvariant,
               remap: this.remap,
               remapchars: values.remapchars
             }});
           }
           if (values.text.length !== 1) delete this.CHTML.skew;
             else if (this.CHTML.w === 0 && this.CHTML.l < 0) this.CHTMLfixCombiningChar(node);
           if (values.largeop) this.CHTMLcenterOp(node);
         }
 
         this.CHTML.clean();
         this.CHTMLhandleBBox(node);
         this.CHTMLhandleSpace(node);
         this.CHTMLhandleColor(node);
 
         return node;
       },
       CHTMLhandleSpace: function (node) {
         if (this.useMMLspacing) {
           var values = this.getValues("scriptlevel","lspace","rspace");
           values.lspace = Math.max(0,this.CHTMLlength2em(values.lspace));
           values.rspace = Math.max(0,this.CHTMLlength2em(values.rspace));
           if (values.scriptlevel > 0) {
             if (!this.hasValue("lspace")) values.lspace = .15;
             if (!this.hasValue("rspace")) values.rspace = .15;
           }
           var core = this, parent = this.Parent();
           while (parent && parent.isEmbellished() && parent.Core() === core)
             {core = parent; parent = parent.Parent(); node = core.CHTMLnodeElement()}
           if (values.lspace) node.style.paddingLeft =  CHTML.Em(values.lspace);
           if (values.rspace) node.style.paddingRight = CHTML.Em(values.rspace);
           this.CHTML.L = values.lspace; this.CHTML.R = values.rspace;
         } else {
           this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments);
         }
       },
       CHTMLadjustAccent: function (data) {
         var parent = this.CoreParent(); data.parent = parent;
         if (data.text.length === 1 && parent && parent.isa(MML.munderover) && 
             this.CoreText(parent.data[parent.base]).length === 1) {
           var over = parent.data[parent.over], under = parent.data[parent.under];
           if (over && this === over.CoreMO() && parent.Get("accent")) {
             data.remapchars = CHTML.FONTDATA.REMAPACCENT;
           } else if (under && this === under.CoreMO() && parent.Get("accentunder")) {
             data.remapchars = CHTML.FONTDATA.REMAPACCENTUNDER;
           }
         }
       },
       CHTMLadjustVariant: function (data) {
         var parent = data.parent,
             isScript = (parent && parent.isa(MML.msubsup) && this !== parent.data[parent.base]);
         if (data.largeop) data.mathvariant = (data.displaystyle ? "-largeOp" : "-smallOp");
         if (isScript) {
           data.remapchars = this.remapChars;
           if (data.text.match(/['`"\u00B4\u2032-\u2037\u2057]/))
             data.mathvariant = "-TeX-variant";  // ### FIXME: handle other fonts
         }
       },
       CHTMLfixCombiningChar: function (node) {
         //
         //  IE doesn't display combining chararacters unless they combine with
         //  something, so put them over a space and remove the space's width
         //
         node = node.firstChild;
         var space = CHTML.Element("mjx-span",{style:{width:".25em","margin-left":"-.25em"}});
         node.insertBefore(space,node.firstChild);
       },
       CHTMLcenterOp: function (node) {
         var bbox = this.CHTML;
         var p = (bbox.h - bbox.d)/2 - CHTML.TEX.axis_height;
         if (Math.abs(p) > .001) node.style.verticalAlign = CHTML.Em(-p);
         bbox.h -= p; bbox.d += p;
         if (bbox.r > bbox.w) {
           bbox.ic = bbox.r - bbox.w; bbox.w = bbox.r;
           node.style.paddingRight = CHTML.Em(bbox.ic);
         }
       },
       CHTMLcanStretch: function (direction,H,D) {
         if (!this.Get("stretchy")) return false;
         var c = this.data.join(""); if (c.length !== 1) return false;
         var values = {text: c};
         this.CHTMLadjustAccent(values);
         if (values.remapchars) c = values.remapchars[c]||c;
         c = CHTML.FONTDATA.DELIMITERS[c.charCodeAt(0)];
         var stretch = (c && c.dir === direction.substr(0,1));
         if (stretch) {
           stretch = (this.CHTML.h !== H || this.CHTML.d !== D ||
             !!this.Get("minsize",true) || !!this.Get("maxsize",true));
           if (stretch) this.CHTML.stretch = true;
         }
         return stretch;
       },
       CHTMLstretchV: function (h,d) {
         var node = this.CHTMLnodeElement(), bbox = this.CHTML;
         var values = this.getValues("symmetric","maxsize","minsize");
         //
         //  Determine the height needed
         //
         var H, a = CHTML.TEX.axis_height;
         if (values.symmetric) {H = 2*Math.max(h-a,d+a)} else {H = h + d}
         values.maxsize = this.CHTMLlength2em(values.maxsize,bbox.h+bbox.d);
         values.minsize = this.CHTMLlength2em(values.minsize,bbox.h+bbox.d);
         H = Math.max(values.minsize,Math.min(values.maxsize,H));
         //
         //  If we are not already stretched to this height
         //
         if (H !== bbox.sH) {
           //
           //  Get a delimiter of the proper height and save the height
           //
           if (H != values.minsize)
             {H = [Math.max(H*CHTML.TEX.delimiterfactor/1000,H-CHTML.TEX.delimitershortfall),H]}
           while (node.firstChild) node.removeChild(node.firstChild);
           this.CHTML = bbox = CHTML.createDelimiter(node,this.data.join("").charCodeAt(0),H,bbox);
           bbox.sH = (H instanceof Array ? H[1] : H);
           //
           //  Reposition as needed
           //
           if (values.symmetric) {H = (bbox.h + bbox.d)/2 + a}
             else {H = (bbox.h + bbox.d) * h/(h + d)}
           H -= bbox.h;
           if (Math.abs(H) > .05) {
             node.style.verticalAlign = CHTML.Em(H);
             bbox.h += H; bbox.d -= H; bbox.t += H; bbox.b -= H;
           }
         }
         return this.CHTML;
       },
       CHTMLstretchH: function (node,W) {
         var bbox = this.CHTML;
         var values = this.getValues("maxsize","minsize","mathvariant","fontweight");
         if ((values.fontweight === "bold" || (this.removedStyles||{}).fontWeight === "bold" ||
             parseInt(values.fontweight) >= 600) && !this.Get("mathvariant",true))
                 values.mathvariant = MML.VARIANT.BOLD;
         values.maxsize = this.CHTMLlength2em(values.maxsize,bbox.w);
         values.minsize = this.CHTMLlength2em(values.minsize,bbox.w);
         W = Math.max(values.minsize,Math.min(values.maxsize,W));
         if (W !== bbox.sW) {
           while (node.firstChild) node.removeChild(node.firstChild);
           this.CHTML = bbox = CHTML.createDelimiter(node,this.data.join("").charCodeAt(0),W,bbox,values.mathvariant);
           bbox.sW = W;
         }
         return this.CHTML;
       }
 
     });
 
     /********************************************************/
 
     MML.mtext.Augment({
       CHTMLgetVariant: function () {
         if (CHTML.config.mtextFontInherit || this.Parent().type === "merror") {
           var scale = (CHTML.config.scale/100)/CHTML.scale;
           var variant = {cache:{}, fonts:[], className:"MJXc-font-inherit", rscale:scale,
                          style:{"font-size":CHTML.Percent(scale)}};
           var name = this.Get("mathvariant");
           if (name.match(/bold/)) variant.style["font-weight"] = "bold";
           if (name.match(/italic|-tex-mathit/)) variant.style["font-style"] = "italic";
           if (name === "monospace") variant.className += " MJXc-monospace-font";
           if (name === "double-struck") variant.className += " MJXc-double-struck-font";
           if (name.match(/fraktur/)) variant.className += " MJXc-fraktur-font";
           if (name.match(/sans-serif/)) variant.className += " MJXc-sans-serif-font";
           if (name.match(/script/)) variant.className += " MJXc-script-font";
           this.CHTMLvariant = variant;
         } else {
           this.SUPER(arguments).CHTMLgetVariant.call(this);
         }
       }
     });
 
     /********************************************************/
     
     MML.merror.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         var bbox = this.CHTML;
         //
         //  Adjust for font-size: 90%
         //
         bbox.rescale(.9);
         //
         //  Adjust for padding and border
         //
         bbox.h += 3/CHTML.em; if (bbox.h > bbox.t) bbox.t = bbox.h;
         bbox.d += 3/CHTML.em; if (bbox.d > bbox.b) bbox.b = bbox.d;
         bbox.w += 8/CHTML.em; bbox.r = bbox.w; bbox.l = 0;
         return node;
       }
     });
     
     /********************************************************/
     
     MML.mspace.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLcreateNode(node);
         this.CHTMLhandleStyle(node);
         this.CHTMLhandleScale(node);
         var values = this.getValues("height","depth","width");
         var w = this.CHTMLlength2em(values.width),
             h = this.CHTMLlength2em(values.height),
             d = this.CHTMLlength2em(values.depth);
         var bbox = this.CHTML;
         bbox.w = bbox.r = w; bbox.h = bbox.t = h; bbox.d = bbox.b = d; bbox.l = 0;
         if (w < 0) {node.style.marginRight = CHTML.Em(w); w = 0}
         node.style.width = CHTML.Em(w);
         node.style.height = CHTML.Em(Math.max(0,h+d));
         if (d) node.style.verticalAlign = CHTML.Em(-d);
         this.CHTMLhandleBBox(node);
         this.CHTMLhandleColor(node);
         return node;
       }
     });
 
     /********************************************************/
     
     MML.mpadded.Augment({
       toCommonHTML: function (node,stretch) {
         var child;
         if (stretch) {
           node = node.firstChild; child = node.firstChild;
         } else {
           node = this.CHTMLdefaultNode(node,{childNodes:"mjx-box", forceChild:true});
           child = node.firstChild; node = CHTML.addElement(node,"mjx-block");
           node.appendChild(child); CHTML.addElement(node,"mjx-strut"); // force proper alignment of short heights
         }
         var cbox = this.CHTMLbboxFor(0);
         var values = this.getValues("width","height","depth","lspace","voffset");
         var x = 0, y = 0, w = cbox.w, h = cbox.h, d = cbox.d;
         child.style.width = 0; child.style.margin = CHTML.Em(-h)+" 0 "+CHTML.Em(-d);
         if (values.width !== "")  w = this.CHTMLdimen(values.width,"w",w,0);
         if (values.height !== "") h = this.CHTMLdimen(values.height,"h",h,0);
         if (values.depth !== "")  d = this.CHTMLdimen(values.depth,"d",d,0);
         if (values.voffset !== "") {
           y = this.CHTMLdimen(values.voffset);
           if (y) {
             child.style.position = "relative";
             child.style.top = CHTML.Em(-y);
           }
         }
         if (values.lspace !== "") {
           x = this.CHTMLdimen(values.lspace);
           if (x) {
             child.style.position = "relative";
             child.style.left = CHTML.Em(x);
           }
         }
         node.style.width = 0;
         node.style.marginTop = CHTML.Em(h-STRUTHEIGHT);
         node.style.padding = "0 "+CHTML.Em(w)+" "+CHTML.Em(d)+" 0";
         var bbox = CHTML.BBOX({w:w, h:h, d:d, l:0, r:w, t:h, b:d,
                                scale:this.CHTML.scale, rscale:this.CHTML.rscale});
         bbox.combine(cbox,x,y);
         bbox.w = w; bbox.h = h; bbox.d = d;
         this.CHTML = bbox;
         return node.parentNode;
       },
       CHTMLstretchV: MML.mbase.CHTMLstretchV,
       CHTMLstretchH: MML.mbase.CHTMLstretchH,
       CHTMLdimen: function (length,d,D,m) {
         if (m == null) {m = -BIGDIMEN}
         length = String(length);
         var match = length.match(/width|height|depth/);
         var size = (match ? this.CHTML[match[0].charAt(0)] : (d ? this.CHTML[d] : 0));
         var dimen = (this.CHTMLlength2em(length,size)||0);
         if (length.match(/^[-+]/) && D != null) dimen += D;
         if (m != null) dimen = Math.max(m,dimen);
         return dimen;
       }
     });
 
     /********************************************************/
     
     MML.munderover.Augment({
       toCommonHTML: function (node,stretch) {
         var values = this.getValues("displaystyle","accent","accentunder","align");
         var base = this.data[this.base];
         if (!values.displaystyle && base != null &&
             (base.movablelimits || base.CoreMO().Get("movablelimits")))
                 return MML.msubsup.prototype.toCommonHTML.call(this,node,stretch);
         //
         //  Get the nodes for base and limits
         //
         var under, over, nodes = [];
         if (stretch) {
           if (this.data[this.base])  base = CHTML.getNode(node,"mjx-op");
           if (this.data[this.under]) under = CHTML.getNode(node,"mjx-under");
           if (this.data[this.over])  over = CHTML.getNode(node,"mjx-over");
           nodes[0] = base; nodes[1] = under||over; nodes[2] = over;
         } else {
           var types = ["mjx-op","mjx-under","mjx-over"];
           if (this.over === 1) types[1] = types[2];
           node = this.CHTMLdefaultNode(node,{
             childNodes:types, noBBox:true, forceChild:true, minChildren: 2
           });
           nodes[0] = base = node.removeChild(node.firstChild);
           nodes[1] = under = over = node.removeChild(node.firstChild);
           if (node.firstChild) nodes[2] = over = node.removeChild(node.firstChild);
         }
         //
         //  Get the bounding boxes and the maximum width
         //
         var boxes = [], W = this.CHTMLgetBBoxes(boxes,nodes,values);
         var bbox = boxes[this.base], BBOX = this.CHTML;
         BBOX.w = W; BBOX.h = bbox.h; BBOX.d = bbox.d; // modified below
         //
         //  Add over- and under-scripts
         //  
         var stack = base, delta = 0;
         if (bbox.ic) {delta = 1.3*bbox.ic + .05} // make faked IC be closer to expeted results
         if (this.data[this.over]) stack = this.CHTMLaddOverscript(over,boxes,values,delta,base,stretch);
         if (this.data[this.under]) this.CHTMLaddUnderscript(under,boxes,values,delta,node,stack,stretch);
           else if (!stretch) node.appendChild(stack);
         //
         //  Handle horizontal positions
         //
         this.CHTMLplaceBoxes(base,under,over,values,boxes);
         return node;
       },
       //
       //  Get the bounding boxes for the children, stretch
       //  any stretchable elements, and compute the maximum width
       //  
       CHTMLgetBBoxes: function (bbox,nodes,values) {
         var i, m = this.data.length, scale,
             w = -BIGDIMEN,  // maximum width of non-stretchy items
             W = w;          // maximum width of all items
         //
         //  Get the maximum width
         //
         for (i = 0; i < m; i++) {
           bbox[i] = this.CHTMLbboxFor(i); bbox[i].x = bbox[i].y = 0;
           if (this.data[i]) bbox[i].stretch = this.data[i].CHTMLcanStretch("Horizontal");
           scale = (i === this.base ? 1 : bbox[i].rscale);
           if (i !== this.base) {delete bbox[i].L; delete bbox[i].R} // these are overriden by CSS
           W = Math.max(W,scale*(bbox[i].w + (bbox[i].L||0) + (bbox[i].R||0)));
           if (!bbox[i].stretch && W > w) w = W;
         }
         if (w === -BIGDIMEN) w = W;
         //
         //  Stretch those parts that need it
         //
         for (i = 0; i < m; i++) {
           if (bbox[i].stretch) {
             scale = (i === this.base ? 1 : bbox[i].rscale);
             bbox[i] = this.data[i].CHTMLstretchH(nodes[i].firstChild,w/scale);
             bbox[i].x = bbox[i].y = 0;
             W = Math.max(W,scale*(bbox[i].w + (bbox[i].L||0) + (bbox[i].R||0)));
           }
         }
         if (!bbox[this.base]) bbox[this.base] = CHTML.BBOX.empty();
         return W;
       },
       //
       //  Add an overscript
       //
       CHTMLaddOverscript: function (over,boxes,values,delta,base,stretch) {
         var BBOX = this.CHTML;
         var z1, z2, z3 = CHTML.TEX.big_op_spacing5, k;
         var obox = boxes[this.over], bbox = boxes[this.base], scale = obox.rscale;
         //
         //  Put the base and script into a stack
         //
         if (!stretch) {
           var stack = CHTML.Element("mjx-stack");
           stack.appendChild(over); stack.appendChild(base);
         }
         if (obox.D) obox.d = obox.D;
         if (obox.d < 0) {
           //
           // For negative depths, set the height and align to top
           // in order to avoid extra baseline space
           //
           over.firstChild.style.verticalAlign = "top";
           over.style.height = CHTML.Em(obox.h+obox.d);
         }
         //
         //  Determine the spacing
         //
         obox.x = 0;
         if (values.accent) {
           if (obox.w < .001) obox.x += (obox.r - obox.l)/2; // center combining accents
           k = CHTML.TEX.rule_thickness; z3 = 0;
           if (bbox.skew) {
             obox.x += scale*bbox.skew; BBOX.skew = scale*bbox.skew;
             if (obox.x+scale*obox.w > BBOX.w) BBOX.skew += (BBOX.w - (obox.x+scale*obox.w))/2;
           }
         } else {
           z1 = CHTML.TEX.big_op_spacing1;
           z2 = CHTML.TEX.big_op_spacing3;
           k = Math.max(z1,z2-Math.max(0,scale*obox.d));
         }
         obox.x += delta/2; obox.y = BBOX.h + k + z3 + scale*obox.d;
         //
         //  Position the overscript
         //
         if (k) over.style.paddingBottom = CHTML.Em(k/scale);
         if (z3) over.style.paddingTop = CHTML.Em(z3/scale);
         return stack;
       },
       //
       //  Add an underscript
       //
       CHTMLaddUnderscript: function (under,boxes,values,delta,node,stack,stretch) {
         var BBOX = this.CHTML;
         var z1, z2, z3 = CHTML.TEX.big_op_spacing5, k;
         var ubox = boxes[this.under], scale = ubox.rscale;
         //
         //  Create a table for the underscript
         //
         if (!stretch) {
           CHTML.addElement(node,"mjx-itable",{},[
             ["mjx-row",{},[["mjx-cell"]]],
             ["mjx-row"]
           ]);
           node.firstChild.firstChild.firstChild.appendChild(stack);
           node.firstChild.lastChild.appendChild(under);
         }
         if (ubox.D) ubox.d = ubox.D;
         if (ubox.d < 0) {
           //
           // For negative depths, set the height and align to top
           // in order to avoid extra baseline space
           //
           under.firstChild.style.verticalAlign = "top";
           node.firstChild.style.marginBottom = CHTML.Em(ubox.d);
         }
         //
         //  determine the spacing
         //
         if (values.accentunder) {
           k = 2*CHTML.TEX.rule_thickness; z3 = 0;
         } else {
           z1 = CHTML.TEX.big_op_spacing2;
           z2 = CHTML.TEX.big_op_spacing4;
           k = Math.max(z1,z2-scale*ubox.h);
         }
         ubox.x = -delta/2; ubox.y = -(BBOX.d + k + z3 + scale*ubox.h);
         //
         //  Position the underscript
         //
         if (k) under.style.paddingTop = CHTML.Em(k/scale);
         if (z3) under.style.paddingBottom = CHTML.Em(z3/scale);
       },
       //
       //  Center boxes horizontally, taking offsets into account
       //
       CHTMLplaceBoxes: function (base,under,over,values,boxes) {
         var W = this.CHTML.w, i, m = boxes.length, scale;
         var BBOX = CHTML.BBOX.zero();
         BBOX.scale = this.CHTML.scale; BBOX.rscale = this.CHTML.rscale;
         boxes[this.base].x = boxes[this.base].y = 0; var dx = BIGDIMEN;
         for (i = 0; i < m; i++) {
           scale = (i === this.base ? 1 : boxes[i].rscale);
           var w = scale*(boxes[i].w + (boxes[i].L||0) + (boxes[i].R||0));
           boxes[i].x += {left:0, center:(W-w)/2, right:W-w}[values.align];
           if (boxes[i].x < dx) dx = boxes[i].x;
         }
         for (i = 0; i < m; i++) {
           if (this.data[i]) {
             scale = (i === this.base ? 1 : boxes[i].rscale);
             if (boxes[i].x - dx) {
               var node = (i === this.base ? base : i === this.over ? over : under);
               node.style.paddingLeft = CHTML.Em((boxes[i].x-dx)/scale);
             }
             BBOX.combine(boxes[i],boxes[i].x-dx,boxes[i].y);
           }
         }
         this.CHTML = BBOX;
       },
       CHTMLstretchV: MML.mbase.CHTMLstretchV,
       CHTMLstretchH: MML.mbase.CHTMLstretchH,
       CHTMLchildNode: function (node,i) {
         var types = ["mjx-op","mjx-under","mjx-over"];
         if (this.over === 1) types[1] = types[2];
         return CHTML.getNode(node,types[i]);
       }
     });
 
     /********************************************************/
     
     MML.msubsup.Augment({
       toCommonHTML: function (node,stretch) {
         var values = this.getValues(
            "displaystyle","subscriptshift","superscriptshift","texprimestyle"
         );
         //
         //  Get the nodes for base and limits
         //
         var base, sub, sup;
         if (stretch) {
           if (this.data[this.base]) base = CHTML.getNode(node,"mjx-base");
           if (this.data[this.sub])  sub = CHTML.getNode(node,"mjx-sub");
           if (this.data[this.sup])  sup = CHTML.getNode(node,"mjx-sup");
           stack = CHTML.getNode(node,"mjx-stack");
         } else {
           var types = ["mjx-base","mjx-sub","mjx-sup"];
           if (this.sup === 1) types[1] = types[2];
           node = this.CHTMLdefaultNode(node,{
             childNodes:types, noBBox:true, forceChild:true, minChildren: 3
           });
           base = node.childNodes[this.base];
           sub = node.childNodes[this.sub]; sup = node.childNodes[this.sup];
           if (!this.CHTMLnotEmpty(this.data[this.sub])) {node.removeChild(sub); sub = null}
           if (!this.CHTMLnotEmpty(this.data[this.sup])) {node.removeChild(sup); sup = null}
           if (node.childNodes.length === 3) {
             var stack = CHTML.addElement(node,"mjx-stack");
             stack.appendChild(sup); stack.appendChild(sub);
           }
         }
         //
         //  Get the bounding boxes and maximum width of scripts
         //
         var boxes = [], BBOX = CHTML.BBOX.empty(this.CHTML);
         for (var i = 0, m = this.data.length; i < m; i++) boxes[i] = this.CHTMLbboxFor(i);
         var bbox = boxes[this.base] || CHTML.BBOX.empty(),
             sbox = boxes[this.sub], Sbox = boxes[this.sup];
         var sscale = (sub ? sbox.rscale : 1), Sscale = (sup ? Sbox.rscale : 1);
         BBOX.combine(bbox,0,0);
         //
         //  Get initial values for parameters
         //
         var ex = CHTML.TEX.x_height, s = CHTML.TEX.scriptspace;
         var q = CHTML.TEX.sup_drop * Sscale, r = CHTML.TEX.sub_drop * sscale;
         var u = bbox.h - q, v = bbox.d + r, delta = 0, p;
         if (bbox.ic) {
           BBOX.w -= bbox.ic;         // remove IC (added by mo and mi)
           base.style.marginRight = CHTML.Em(-bbox.ic);
           delta = 1.3*bbox.ic + .05; // make faked IC be closer to expeted results
         }
         var bmml = this.data[this.base];
         if (bmml) {
           if ((bmml.type === "mrow" || bmml.type === "mstyle") && bmml.data.length === 1) bmml = bmml.data[0];
           if (bmml.type === "mi" || bmml.type === "mo") {
             if (bmml.data.join("").length === 1 && bbox.rscale === 1 && !bbox.sH &&
                 !bmml.Get("largeop")) {u = v = 0}
           }
         }
         values.subscriptshift   = (values.subscriptshift === ""   ? 0 : this.CHTMLlength2em(values.subscriptshift));
         values.superscriptshift = (values.superscriptshift === "" ? 0 : this.CHTMLlength2em(values.superscriptshift));
         //
         //  Add the super- and subscripts
         //
         var x = BBOX.w; if (sub) sbox.w += s; if (sup) Sbox.w += s;
         if (!sup) {
           if (sub) {
             v = Math.max(v,CHTML.TEX.sub1,sscale*sbox.h-(4/5)*ex,values.subscriptshift);
             sub.style.verticalAlign = CHTML.Em(-v/sscale);
             sub.style.paddingRight = CHTML.Em(s/sscale);
             BBOX.combine(sbox,x,-v);
           }
         } else {
           if (!sub) {
             p = CHTML.TEX[(values.displaystyle ? "sup1" : (values.texprimestyle ? "sup3" : "sup2"))];
             u = Math.max(u,p,Sscale*Sbox.d+(1/4)*ex,values.superscriptshift);
             sup.style.verticalAlign = CHTML.Em(u/Sscale);
             sup.style.paddingLeft = CHTML.Em(delta/Sscale);
             sup.style.paddingRight = CHTML.Em(s/Sscale);
             BBOX.combine(Sbox,x+delta,u);
           } else {
             v = Math.max(v,CHTML.TEX.sub2);
             var t = CHTML.TEX.rule_thickness;
             if ((u - Sscale*Sbox.d) - (sscale*sbox.h - v) < 3*t) {
               v = 3*t - u + Sscale*Sbox.d + sscale*sbox.h;
               q = (4/5)*ex - (u - Sscale*Sbox.d);
               if (q > 0) {u += q; v -= q}
             }
             u = Math.max(u,values.superscriptshift);
             v = Math.max(v,values.subscriptshift);
             sub.style.paddingRight = CHTML.Em(s/sscale);
             sup.style.paddingBottom = CHTML.Em(u/Sscale+v/sscale-Sbox.d-sbox.h/sscale*Sscale);
             sup.style.paddingLeft = CHTML.Em(delta/Sscale);
             sup.style.paddingRight = CHTML.Em(s/Sscale);
             stack.style.verticalAlign = CHTML.Em(-v);
             BBOX.combine(Sbox,x+delta,u);
             BBOX.combine(sbox,x,-v);
           }
         }
         BBOX.clean();
         return node;
       },
       CHTMLstretchV: MML.mbase.CHTMLstretchV,
       CHTMLstretchH: MML.mbase.CHTMLstretchH,
       CHTMLchildNode: function (node,i) {
         var types = ["mjx-base","mjx-sub","mjx-sup"];
         if (this.over === 1) types[1] = types[2];
         return CHTML.getNode(node,types[i]);
       }
     });
 
     /********************************************************/
     
     MML.mfrac.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node,{
           childNodes:["mjx-numerator","mjx-denominator"],
           forceChild:true, noBBox:true, minChildren:2
         });
         var values = this.getValues("linethickness","displaystyle",
                                     "numalign","denomalign","bevelled");
         var isDisplay = values.displaystyle;
         //
         //  Create the table for the fraction and set the alignment
         //
         var num = node.firstChild, denom = node.lastChild;
         var frac = CHTML.addElement(node,"mjx-box");
         frac.appendChild(num); frac.appendChild(denom); node.appendChild(frac);
         if (values.numalign !== "center") num.style.textAlign = values.numalign;
         if (values.denomalign !== "center") denom.style.textAlign = values.denomalign;
         //
         //  Get the bounding boxes for the parts, and determine the placement
         //  of the numerator and denominator
         //
         var nbox = this.CHTMLbboxFor(0), dbox = this.CHTMLbboxFor(1),
             BBOX = CHTML.BBOX.empty(this.CHTML), nscale = nbox.rscale, dscale = dbox.rscale;
         values.linethickness = Math.max(0,CHTML.thickness2em(values.linethickness||"0",BBOX.scale));
         var mt = CHTML.TEX.min_rule_thickness/CHTML.em, a = CHTML.TEX.axis_height;
         var t = values.linethickness, p,q, u,v;
         if (values.bevelled) {
           frac.className += " MJXc-bevelled";
           var delta = (isDisplay ? .4 : .15);
           var H = Math.max(nscale*(nbox.h+nbox.d),dscale*(dbox.h+dbox.d)) + 2*delta;
           var bevel = CHTML.Element("mjx-bevel"); frac.insertBefore(bevel,denom);
           var bbox = CHTML.createDelimiter(bevel,0x2F,H);
           u = nscale*(nbox.d-nbox.h)/2+a+delta;
           v = dscale*(dbox.d-dbox.h)/2+a-delta;
           if (u) num.style.verticalAlign = CHTML.Em(u/nscale);
           if (v) denom.style.verticalAlign = CHTML.Em(v/dscale);
           bevel.style.marginLeft = bevel.style.marginRight = CHTML.Em(-delta/2);
           BBOX.combine(nbox,0,u);
           BBOX.combine(bbox,nscale*nbox.w-delta/2,0);
           BBOX.combine(dbox,nscale*nbox.w+bbox.w-delta,v);
           BBOX.clean();
         } else {
           frac.className += " MJXc-stacked";
           if (isDisplay) {u = CHTML.TEX.num1; v = CHTML.TEX.denom1}
             else {u = (t === 0 ? CHTML.TEX.num3 : CHTML.TEX.num2); v = CHTML.TEX.denom2}
           if (t === 0) { // \atop
             p = Math.max((isDisplay ? 7 : 3) * CHTML.TEX.rule_thickness, 2*mt); // force to at least 2 px
             q = (u - nbox.d*nscale) - (dbox.h*dscale - v);
             if (q < p) {u += (p - q)/2; v += (p - q)/2}
           } else { // \over
             p = Math.max((isDisplay ? 2 : 0) * mt + t, t/2 + 1.5*mt);
             t = Math.max(t,mt);
             q = (u - nbox.d*nscale) - (a + t/2); if (q < p) u += (p - q);
             q = (a - t/2) - (dbox.h*dscale - v); if (q < p) v += (p - q);
             nbox.L = nbox.R = dbox.L = dbox.R = .1;  // account for padding in BBOX width
             var rule = CHTML.addElement(frac,"mjx-line",{style: {
               "border-bottom":CHTML.Px(t*BBOX.scale,1)+" solid", top: CHTML.Em(-t/2-a)
             }});
           }
           //
           //  Determine the new bounding box and place the parts
           //
           BBOX.combine(nbox,0,u);
           BBOX.combine(dbox,0,-v);
           BBOX.clean();
           //
           //  Force elements to the correct width
           //
           frac.style.width = CHTML.Em(BBOX.w);
           num.style.width = CHTML.Em(BBOX.w/nscale);
           denom.style.width = CHTML.Em(BBOX.w/dscale);
           if (rule) rule.style.width = frac.style.width;
           //
           //  Place the numerator and denominator in relation to the baseline
           //
           num.style.top = CHTML.Em(-BBOX.h/nscale);
           denom.style.bottom = CHTML.Em(-BBOX.d/dscale);
           //
           //  Force the size of the surrounding box, since everything is absolutely positioned
           //
           CHTML.addElement(node,"mjx-vsize",{style: {
             height: CHTML.Em(BBOX.h+BBOX.d), verticalAlign: CHTML.Em(-BBOX.d)
           }});
         }
         //
         //  Add nulldelimiterspace around the fraction
         //  (TeXBook pg 150 and Appendix G rule 15e)
         //
         if (!this.texWithDelims && !this.useMMLspacing) {
           var space = CHTML.TEX.nulldelimiterspace;
           frac.style.padding = "0 "+CHTML.Em(space);
           BBOX.l += space; BBOX.r += space; BBOX.w += 2*space;
         }
         //
         //  Return the completed fraction
         //
         return node;
       },
       CHTMLcanStretch: function (direction) {return false}
     });
 
     /********************************************************/
     
     MML.msqrt.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node,{
           childNodes:["mjx-box","mjx-root"], forceChild:true, noBBox:true
         });
         var base = node.firstChild || CHTML.Element("mjx-box");
         var sqrt = CHTML.addElement(node,"mjx-box"); sqrt.appendChild(base);
         var bbox = this.CHTMLbboxFor(0), BBOX = CHTML.BBOX.empty(this.CHTML);
         var t = CHTML.TEX.rule_thickness, T = CHTML.TEX.surd_height, p = t, q, H;
         if (this.Get("displaystyle")) p = CHTML.TEX.x_height;
         q = t + p/4;
         H = bbox.h + bbox.d + q + t;
         var surd = CHTML.Element("mjx-surd"); sqrt.insertBefore(surd,base);
         var sbox = CHTML.createDelimiter(surd,0x221A,[H-.04,H]);
         if (sbox.h + sbox.d > H) q = ((sbox.h+sbox.d) - (H-t))/2;
         H = bbox.h + q + t;
         var x = this.CHTMLaddRoot(node,sbox,sbox.h+sbox.d-H);
         base.style.paddingTop = CHTML.Em(q); 
         base.style.borderTop = CHTML.Px(T*bbox.scale,1)+" solid";
         sqrt.style.paddingTop = CHTML.Em(2*t-T);  // use wider line, but don't affect height
         bbox.h += q + 2*t;
         BBOX.combine(sbox,x,H-sbox.h);
         BBOX.combine(bbox,x+sbox.w,0);
         BBOX.clean();
         return node;
       },
       CHTMLaddRoot: function () {return 0}
     });
 
     /********************************************************/
     
     MML.mroot.Augment({
       toCommonHTML: MML.msqrt.prototype.toCommonHTML,
       CHTMLaddRoot: function (sqrt,sbox,d) {
         if (!this.data[1]) return;
         var BBOX = this.CHTML, bbox = this.data[1].CHTML, root = sqrt.firstChild;
         var scale = bbox.rscale;
         var h = this.CHTMLrootHeight(bbox,sbox,scale)-d;
         var w = Math.min(bbox.w,bbox.r); // remove extra right-hand padding, if any
         var dx = Math.max(w,sbox.offset/scale); 
         if (h) root.style.verticalAlign = CHTML.Em(h/scale);
         if (dx > w) root.firstChild.style.paddingLeft = CHTML.Em(dx-w);
         dx -= sbox.offset/scale;
         root.style.width = CHTML.Em(dx);
         BBOX.combine(bbox,0,h);
         return dx*scale;
       },
       CHTMLrootHeight: function (bbox,sbox,scale) {
         return .45*(sbox.h+sbox.d-.9)+sbox.offset + Math.max(0,bbox.d-.075);
       }
     });
     
     /********************************************************/
     
     MML.mfenced.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLcreateNode(node);
         this.CHTMLhandleStyle(node);
         this.CHTMLhandleScale(node);
         //
         //  Make row of open, data, sep, ... data, close
         //
         this.CHTMLaddChild(node,"open",{});
         for (var i = 0, m = this.data.length; i < m; i++) {
           this.CHTMLaddChild(node,"sep"+i,{});
           this.CHTMLaddChild(node,i,{});
         }
         this.CHTMLaddChild(node,"close",{});
         //
         //  Check for stretching the elements
         //
         var H = this.CHTML.h, D = this.CHTML.d;
         this.CHTMLstretchChildV("open",H,D);
         for (i = 0, m = this.data.length; i < m; i++) {
           this.CHTMLstretchChildV("sep"+i,H,D);
           this.CHTMLstretchChildV(i,H,D);
         }
         this.CHTMLstretchChildV("close",H,D);
         this.CHTMLhandleSpace(node);
         this.CHTMLhandleBBox(node);
         this.CHTMLhandleColor(node);
         return node;
       }
     });
 
     /********************************************************/
     
     MML.mrow.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         var bbox = this.CHTML, H = bbox.h, D = bbox.d, hasNegative;
         for (var i = 0, m = this.data.length; i < m; i++) {
           this.CHTMLstretchChildV(i,H,D);
           if (this.data[i] && this.data[i].CHTML && this.data[i].CHTML.w < 0) hasNegative = true;
         }
         if (this.CHTMLlineBreaks()) {
           this.CHTMLmultiline(node);
         } else {
           if (hasNegative && bbox.w) node.style.width = CHTML.Em(Math.max(0,bbox.w));
           if (bbox.w < 0) node.style.marginRight = CHTML.Em(bbox.w);
         }
         return node;
       },
       CHTMLlineBreaks: function () {
         if (!this.parent.linebreakContainer) return false;
         return (LINEBREAKS.automatic && this.CHTML.w > CHTML.linebreakWidth) || this.hasNewline();
       },
       CHTMLstretchV: function (h,d) {
         this.CHTMLstretchChildV(this.CoreIndex(),h,d);
         return this.CHTML;
       },
       CHTMLstretchH: function (node,w) {
         this.CHTMLstretchChildH(this.CoreIndex(),w,node);
         return this.CHTML;
       }
     });
 
     /********************************************************/
     
     MML.mstyle.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLdefaultNode(node);
         if (this.scriptlevel && this.data[0]) this.CHTML.rescale(this.data[0].CHTML.rscale);
         return node;
       }
     });
 
     /********************************************************/
     
     MML.TeXAtom.Augment({
       toCommonHTML: function (node,stretch) {
         if (!stretch) node = this.CHTMLdefaultNode(node);
         if (this.texClass === MML.TEXCLASS.VCENTER) {
           var a = CHTML.TEX.axis_height, BBOX = this.CHTML;
           var v = a-(BBOX.h+BBOX.d)/2+BBOX.d;
           if (Math.abs(v) > .001) {
             node.style.verticalAlign = CHTML.Em(v);
             BBOX.h += v; BBOX.t += v; BBOX.d -= v; BBOX.b -= v;
           }
         }
         return node;
       },
       CHTMLstretchV: function (h,d) {
         this.CHTML.updateFrom(this.Core().CHTMLstretchV(h,d));
         this.toCommonHTML(this.CHTMLnodeElement(),true);
         return this.CHTML;
       },
       CHTMLstretchH: function (node,w) {
         this.CHTML.updateFrom(this.CHTMLstretchCoreH(node,w));
         this.toCommonHTML(node,true);
         return this.CHTML;
       }
     });
 
     /********************************************************/
     
     MML.semantics.Augment({
       toCommonHTML: function (node) {
         node = this.CHTMLcreateNode(node);
 	if (this.data[0]) {
 	  this.data[0].toCommonHTML(node);
 	  this.CHTML.updateFrom(this.data[0].CHTML);
 	}
         return node;
       }
     });
     MML.annotation.Augment({toCommonHTML: function(node) {return this.CHTMLcreateNode(node)}});
     MML["annotation-xml"].Augment({toCommonHTML: MML.mbase.CHTMLautoload});
 
     /********************************************************/
 
     MML.ms.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     MML.mglyph.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     MML.menclose.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     MML.maction.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     MML.mmultiscripts.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     MML.mtable.Augment({toCommonHTML: MML.mbase.CHTMLautoload});
     
     /********************************************************/
     
     //
     //  Loading isn't complete until the element jax is modified,
     //  but can't call loadComplete within the callback for "mml Jax Ready"
     //  (it would call CommonHTML's Require routine, asking for the mml jax again)
     //  so wait until after the mml jax has finished processing.
     //  
     //  We also need to wait for the onload handler to run, since the loadComplete
     //  will call Config and Startup, which need to modify the body.
     //
     MathJax.Hub.Register.StartupHook("onLoad",function () {
       setTimeout(MathJax.Callback(["loadComplete",CHTML,"jax.js"]),0);
     });
   });
 
   MathJax.Hub.Register.StartupHook("End Cookie", function () {  
     if (HUB.config.menuSettings.zoom !== "None")
       {AJAX.Require("[MathJax]/extensions/MathZoom.js")}
   });
     
 })(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);