xiaoben-as2-php/js/min/mathjax/unpacked/jax/output/NativeMML/jax.js

/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */

/*************************************************************
 *
 *  MathJax/jax/output/NativeMML/jax.js
 *
 *  Implements the NativeMML OutputJax that displays mathematics
 *  using a browser's native MathML capabilities (if any).
 *  
 *  ---------------------------------------------------------------------
 *  
 *  Copyright (c) 2010-2012 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 (nMML,HUB,AJAX,HTML) {
  var MML, isMSIE = HUB.Browser.isMSIE;
  
  var EVENT, TOUCH, HOVER, ZOOM; // filled in later

  HUB.Register.StartupHook("MathZoom Ready",function () {ZOOM = MathJax.Extension.MathZoom});
  
  var NOPADDING = function (side,obj) {
    var span = HTML.Element("span"); side = "padding"+side;
    if (obj) {
      span.style.cssText = (obj.getAttribute("style")||"");
      if (span.style.padding === "" && (span.style[side]||"") === "") {
        span.style[side] = "0px"; obj.setAttribute("style",span.style.cssText)
      }
    }
  };
  
  var CELLSPACING = function (obj,rowSpacing,columnSpacing) {
    //
    // Webkit default padding on mtd cells is simply
    //
    // mtd {padding: 0.5ex;}
    //
    // Gecko default padding on mtd cells is
    //
    // mtd {padding-right: 0.4em;
    //      padding-left: 0.4em;
    //      padding-bottom: 0.5ex;
    //      padding-top: 0.5ex;}
    // mtr:first-child > mtd {padding-top: 0ex;}
    // mtr:last-child > mtd {padding-bottom: 0ex;}
    // mtd:first-child {padding-left: 0em;}
    // mtd:last-child {padding-right: 0em;}
    //
    // that is the columnspacing/rowspacing is split into two adjacent cells,
    // and the periphery of boundary cells is set to zero.
    //
    // Here, we will set the left/top padding of each cell to
    // rowSpacing/columnSpacing (or 0px for the leftmost/topmost cells) and
    // reset the right/bottom padding to zero.
    //
    if (obj) {
      var span = HTML.Element("span");
      span.style.cssText = (obj.getAttribute("style")||"");
      if (span.style.padding === "") {
        var padding = { paddingLeft: columnSpacing, paddingTop: rowSpacing,
                        paddingRight: "0px", paddingBottom: "0px" };
        for (var side in padding) {if (padding.hasOwnProperty(side)) {
          if ((span.style[side]||"") === "") {span.style[side] = padding[side];}
        }}
      }
      obj.setAttribute("style",span.style.cssText);
    }
  };
 
  nMML.Augment({
    //
    //  User can configure styles
    //
    config: {
      styles: {
        ".MathJax_MathML": {
          "font-style":      "normal",
          "font-weight":     "normal",
          "line-height":     "normal",
          "font-size":       "100%",
          "font-size-adjust":"none",
          "text-indent":     0,
          "text-align":      "left",
          "text-transform":  "none",
          "letter-spacing":  "normal",
          "word-spacing":    "normal",
          "word-wrap":       "normal",
          "white-space":     "nowrap",
          "float":           "none",
          "direction":       "ltr",
          border: 0, padding: 0, margin: 0
        },
        
        "span.MathJax_MathML": {
          display: "inline"
        },
        
        "div.MathJax_MathML": {
          display: "block"
        },
        
        ".MathJax_mmlExBox": {
          display:"block", overflow:"hidden",
          height:"1px", width:"60ex",
          padding:0, border: 0, margin: 0
        }
      }
    },
    settings: HUB.config.menuSettings,
    ex: 1, // filled in later
    
    Config: function () {
      this.SUPER(arguments).Config.call(this);
      if (this.settings.scale) {this.config.scale = this.settings.scale}
      //
      //  Insert styling to take account of displayAlign and displayIndent
      //
      if (HUB.config.displayAlign !== "center") {
        var align = HUB.config.displayAlign, indent = HUB.config.displayIndent;
        var def = {"text-align": align+"!important"}; def["margin-"+align] = indent+"!important";
        HUB.Insert(this.config.styles,{
          "div.MathJax_MathML": def,
          "div.MathJax_MathML math": {"text-align": align},
          "div.MathJax_MathContainer > span": {"text-align": align+"!important"}
        });
      }
      if (!this.require) {this.require = []}
      this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");
    },
    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;

      if (!isMSIE) {
        // Used in preTranslate to get scaling factors
        this.EmExSpan = HTML.Element("span",
          {style:{position:"absolute","font-size-adjust":"none"}},
          [
            ["div",{className:"MathJax_mmlExBox"}],
            ["span",{className:"MathJax_MathML"}]
          ]
        );
        MML.math(MML.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild);
      }

      //  Set up styles
      return AJAX.Styles(this.config.styles);
    },
    //
    //  Set up MathPlayer for IE on the first time through.
    //
    InitializeMML: function () {
      this.initialized = true;
      if (isMSIE) {
        try {
          //
          //  Insert data needed to use MathPlayer for MathML output
          //
          if (!HUB.Browser.mpNamespace) {
            var mathplayer = document.createElement("object");
            mathplayer.id = "mathplayer"; mathplayer.classid = "clsid:32F66A20-7614-11D4-BD11-00104BD3F987";
            document.getElementsByTagName("head")[0].appendChild(mathplayer);
            document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");
            HUB.Browser.mpNamespace = true;
          }
          if (!HUB.Browser.mpImported) {
            document.namespaces.m.doImport("#mathplayer");
            HUB.Browser.mpImported = true;
          }
        } catch (err) {
          //
          //  If that fails, give an alert about security settings
          //
          alert(MathJax.Localization._(["MathML", "MathPlayer"],
                "MathJax was not able to set up MathPlayer.\n\n"+
                "If MathPlayer is not installed, you need to install it first.\n"+
                "Otherwise, your security settings may be preventing ActiveX     \n"+
                "controls from running.  Use the Internet Options item under\n"+
                "the Tools menu and select the Security tab, then press the\n"+
                "Custom Level button. Check that the settings for\n"+
                "'Run ActiveX Controls', and 'Binary and script behaviors'\n"+
                "are enabled.\n\n"+
                "Currently you will see error messages rather than\n"+
                "typeset mathematics."));
        }
      } else {
        //
        //  Get the default sizes (need styles in place to do this)
        //
        document.body.appendChild(this.EmExSpan);
        this.defaultEx  = this.EmExSpan.firstChild.offsetWidth/60;
        this.defaultMEx = this.EmExSpan.lastChild.offsetWidth/60;
        document.body.removeChild(this.EmExSpan);
      }
    },
    
    preTranslate: function (state) {
      var scripts = state.jax[this.id], i, m = scripts.length,
          script, prev, span, test, math, jax, ex, mex, scale;
      for (i = 0; i < m; i++) {
        script = scripts[i]; if (!script.parentNode) continue;
	if (!this.initialized) {this.InitializeMML()}
        //
        //  Remove any existing output
        //
        prev = script.previousSibling;
        if (prev && prev.className === "MathJax_MathML") {prev.parentNode.removeChild(prev)}
        //
        //  Add the MathJax span
        //
        jax = script.MathJax.elementJax; if (!jax) continue;
        math = jax.root; jax.NativeMML = {};
        var type = (math.Get("display") === "block" ? "div" : "span");
	span = HTML.Element(type,{
	  className: "MathJax_MathML", id:jax.inputID+"-Frame"
	},[["span",{
            className:"MathJax_MathContainer", isMathJax: true, jaxID:this.id,
            style:{position:"relative", display:"inline-block", "white-space":"nowrap"}
          }, [["span",{isMathJax:true, style:{display:"inline-block"}}]] // for Firefox hover and zoom
	]]);
        script.parentNode.insertBefore(span,script);
        //
        //  Add the test span for determining scales
        //
        if (!isMSIE) {script.parentNode.insertBefore(this.EmExSpan.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;
        jax = script.MathJax.elementJax; if (!jax) continue;
        if (!isMSIE) {
          test = script.previousSibling; span = test.previousSibling;
          ex = test.firstChild.offsetWidth/60;
          mex = test.lastChild.offsetWidth/60;
          if (ex === 0 || ex === "NaN") {ex = this.defaultEx; mex = this.defaultMEx}
          scale = (mex > 1 ? ex/mex : 1) * this.config.scale;
          scale = Math.floor(Math.max(this.config.minScaleAdjust/100,scale));
          jax.NativeMML.ex = ex;
        } else {scale = 100}
        jax.NativeMML.fontSize = scale+"%";
      }
      //
      //  Remove the test spans used for determining scales
      //
      if (!isMSIE) {
        for (i = 0; i < m; i++) {
          script = scripts[i]; if (!script.parentNode || !script.MathJax.elementJax) continue;
          test = scripts[i].previousSibling;
          test.parentNode.removeChild(test);
        }
      }
    },

    //
    //  Add a SPAN to use as a container, and render the math into it
    //  
    Translate: function (script) {
      if (!script.parentNode) return;
      //
      //  Get the jax and the container and set the size
      //
      var jax = script.MathJax.elementJax, math = jax.root;
      var span = document.getElementById(jax.inputID+"-Frame"),
	  container = span.firstChild, mspan = container.firstChild;
      span.style.fontSize = jax.NativeMML.fontSize;
      this.ex = jax.NativeMML.ex || this.defaultEx;
      //
      //  Convert to MathML (if restarted, remove any partial math)
      //
      try {math.toNativeMML(mspan)} catch (err) {
        if (err.restart) {while (mspan.firstChild) {mspan.removeChild(mspan.firstChild)}}
        throw err;
      }
      //
      //  Add event handlers
      //
      if (isMSIE) {
        if (container.addEventListener) {
          for (var id in this.MSIE9events) {if (this.MSIE9events.hasOwnProperty(id)) {
            container.addEventListener(id,this.MSIE9event,true);
          }}
        } else {
          var config = (this.config.showMathMenuMSIE != null ? this : HUB).config;
          if (config.showMathMenuMSIE && !this.settings.mpContext && !this.settings.mpMouse)
                {this.MSIEoverlay(container)} else
                {container.style.position = ""; mspan.firstChild.onmousedown = this.MSIEaltMenu}
        }
      } else {
        container.oncontextmenu = EVENT.Menu;
        container.onmouseover   = EVENT.Mouseover;
        container.onmouseout    = EVENT.Mouseout;
        container.onmousedown   = EVENT.Mousedown;
        container.onclick       = EVENT.Click;
        container.ondblclick    = EVENT.DblClick;
	if (HUB.Browser.noContextMenu) {
	  container.ontouchstart = TOUCH.start;
	  container.ontouchend   = TOUCH.end;
	}
      }
    },

    postTranslate: function (state) {
      if (this.forceReflow) {
        //
        //  Firefox messes up some mtable's when they are dynamically created
        //  but gets them right on a reflow, so force reflow by toggling a stylesheet
        //
        var sheet = (document.styleSheets||[])[0]||{};
        sheet.disabled = true; sheet.disabled = false;
      }
    },
    
    //
    //  Remove MathML preceeding the script
    //
    Remove: function (jax) {
      var span = jax.SourceElement(); if (!span) return;
      span = span.previousSibling; if (!span) return;
      if (span.className.match(/MathJax_MathML/)) {span.parentNode.removeChild(span)}
    },
    //
    //  The namespace to use for MML
    //
    MMLnamespace: "http://www.w3.org/1998/Math/MathML",

    //
    //  For MSIE, we must overlay the MathPlayer object to trap the events
    //  (since they can't be cancelled when the events are on the <math> tag
    //  itself).  The events we DON'T want are transferred to the math element,
    //  and the others are handled directly.
    //
    MSIEoverlay: function (span) {
      var math = span.firstChild;
      if (math.nodeName.toLowerCase() === "span") {math = math.firstChild}
      var bbox = this.getHoverBBox(null,math,{});
      HTML.addElement(span,"span",{
        style:{display:"inline-block", width:0, height:0, position:"relative"}
      },[["span",{isMathJax: true, className: "MathJax_MathPlayer_Overlay",
        style:{
          display:"inline-block", position:"absolute",
          left:HOVER.Px(-bbox.w), top:HOVER.Px(-bbox.h-(bbox.y||0)-1),
          width:HOVER.Px(bbox.w), height:HOVER.Px(bbox.h+bbox.d), cursor:"pointer",
          "background-color":"white", filter:"alpha(opacity=0)"
        }
      }]]);
      HUB.Insert(span,{
        msieMath: math,
        onmousedown: this.MSIEevent, oncontextmenu: this.MSIEevent, onclick: this.MSIEevent,
        onmouseup: this.MSIEevent, onmousemove: this.MSIEevent, ondblclick: this.MSIEevent,
        onmouseover: this.MSIEevent, onmouseout: this.MSIEevent
      });
    },
    MSIEevents: {
      mousedown:"Mousedown", contextmenu:"ContextMenu", click:"Click",
      mouseup:"Mouseup", mousemove:"Mousemove", dblclick: "DblClick",
      mouseover:"Mouseover", mouseout:"Mouseout"
    },
    MSIEevent: function () {
      var event = window.event;
      var type = nMML.MSIEevents[event.type];
      if (nMML[type] && nMML[type](event,this) === false) {return false}
      if (ZOOM && ZOOM.HandleEvent(event,type,this) === false) {return false}
      if (event.srcElement.className === "MathJax_MathPlayer_Overlay" && this.msieMath.fireEvent) {
        //
        //  For now, ignore all other events.  This will disable MathPlayer's zoom
        //  feature, but also its <maction> support.
        //
        if (type === "ContextMenu" || type === "Mouseover" || type === "Mouseout")
          {this.msieMath.fireEvent("on"+event.type,event)}
      }
      return EVENT.False(event);
    },
    MSIEaltMenu: function () {
      var container = this.parentNode.parentNode;
      while (!container.jaxID) {container = container.parentNode}
      EVENT.AltContextMenu(window.event,container);
    },

    MSIE9events: {
      contextmenu:"Menu", click:"Click", dblclick: "DblClick",
      mouseup:"False", mouseover:"Mouseover", mouseout:"Mouseout"
    },
    MSIE9event: function (event) {
      if (event.type === "contextmenu" && nMML.settings.mpContext) {return true}
      if (event.type === "mouseup" && nMML.settings.mpMouse) {return true}
      if (event.type === "click" && nMML.settings.mpContext)
        {return EVENT.AltContextMenu(event,this)}
      var type = nMML.MSIE9events[event.type];
      return EVENT[type].call(this,event);
    },

    getJaxFromMath: function (math) {
      math = math.parentNode;
      do {math = math.nextSibling} while (math && math.nodeName.toLowerCase() !== "script");
      return HUB.getJaxFor(math);
    },
    getHoverSpan: function (jax,math) {return math.firstChild},
    getHoverBBox: function (jax,span,math) {return EVENT.getBBox(span.parentNode)},

    Zoom: function (jax,span,math,Mw,Mh) {
      jax.root.toNativeMML(span);
      if (this.msieIE8HeightBug) {span.style.position = "absolute"}
      var mW = math.offsetWidth  || math.scrollWidth,
          mH = math.offsetHeight || math.scrollHeight;
      var zW = span.offsetWidth, zH = span.offsetHeight;
      if (nMML.widthBug) {
        //
        //  FF doesn't get width of <math> right, so get it from <mrow>
        //
        var W = span.firstChild.firstChild.scrollWidth;
        if (W > zW) {zW = W; span.style.width = zW + "px"}
      }
      if (this.msieIE8HeightBug) {span.style.position = ""}
      return {Y:-EVENT.getBBox(span.parentNode).h, mW:mW, mH:mH, zW:zW, zH:zH}
    },

    NAMEDSPACE: {
      negativeveryverythinmathspace:  "-.0556em",
      negativeverythinmathspace:      "-.1111em",
      negativethinmathspace:          "-.1667em",
      negativemediummathspace:        "-.2222em",
      negativethickmathspace:         "-.2778em",
      negativeverythickmathspace:     "-.3333em",
      negativeveryverythickmathspace: "-.3889em"
    }
  });

  HUB.Register.StartupHook("mml Jax Ready",function () {

    MML = MathJax.ElementJax.mml;

    MML.mbase.Augment({
      //
      //  Add a MathML tag of the correct type, and set its attributes
      //    then populate it with its children and append it to the parent
      //
      toNativeMML: function (parent) {
	var tag = this.NativeMMLelement(this.type);
	this.NativeMMLattributes(tag);
	for (var i = 0, m = this.data.length; i < m; i++) {
	  if (this.data[i]) {this.data[i].toNativeMML(tag)}
	    else {tag.appendChild(this.NativeMMLelement("mrow"))}
	}
	parent.appendChild(tag);
      },
      //
      //  Look for attributes that are different from the defaults
      //    and set those in the tag's attribute list
      //
      NativeMMLattributes: function (tag) {
	var defaults = this.defaults;
	var copy = (this.attrNames||MML.copyAttributeNames), skip = MML.skipAttributes;
        if (!this.attrNames) {
          if (this.type === "mstyle") {defaults = MML.math.prototype.defaults}
          for (var id in defaults) {if (!skip[id] && defaults.hasOwnProperty(id)) {
	    if (this[id] != null) {tag.setAttribute(id,this.NativeMMLattribute(this[id]))}
          }}
        }
	for (var i = 0, m = copy.length; i < m; i++) {
          var value = (this.attr||{})[copy[i]]; if (value == null) {value = this[copy[i]]}
	  if (value != null) {tag.setAttribute(copy[i],this.NativeMMLattribute(value))}
	}
        this.NativeMMLclass(tag);
      },
      NativeMMLclass: function (tag) {
        var CLASS = []; if (this["class"]) {CLASS.push(this["class"])}
        if (this.isa(MML.TeXAtom)) {
          var TEXCLASS = ["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];
          if (TEXCLASS) {CLASS.push("MJX-TeXAtom-"+TEXCLASS)}
        }
        if (this.mathvariant && this.NativeMMLvariants[this.mathvariant])
          {CLASS.push("MJX"+this.mathvariant)}
        if (this.arrow) {CLASS.push("MJX-arrow")}
        if (this.variantForm) {CLASS.push("MJX-variant")}
        if (CLASS.length) {tag.setAttribute("class",CLASS.join(" "))}
      },
      NativeMMLattribute: function (value) {
	value = String(value);
	if (nMML.NAMEDSPACE[value]) {value = nMML.NAMEDSPACE[value]} // MP doesn't do negative spaces
	else if (value.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/))
          {value = RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"} // FIXME:  should take scriptlevel into account
	else if (this.NativeMMLvariants[value]) {value = this.NativeMMLvariants[value]}
	return value;
      },
      NativeMMLvariants: {
        "-tex-caligraphic":      MML.VARIANT.SCRIPT,
        "-tex-caligraphic-bold": MML.VARIANT.BOLDSCRIPT,
        "-tex-oldstyle":         MML.VARIANT.NORMAL,
        "-tex-oldstyle-bold":    MML.VARIANT.BOLD,
        "-tex-mathit":           MML.VARIANT.ITALIC
      },
      //
      //  Create a MathML element
      //
      NativeMMLelement: function (type) {
        var math = (isMSIE ? document.createElement("m:"+type) :
	                     document.createElementNS(nMML.MMLnamespace,type));
        math.isMathJax = true;
        return math;
      }
    });
    
    MML.mrow.Augment({
      //
      //  Make inferred rows not include an mrow tag
      //
      toNativeMML: function (parent) {
        var i, m; 
	if (this.inferred  && this.parent.inferRow) {
	  for (i = 0, m = this.data.length; i < m; i++) {
	    if (this.data[i]) {this.data[i].toNativeMML(parent)}
	      else {parent.appendChild(this.NativeMMLelement("mrow"))}
	  }
	} else if (nMML.stretchyMoBug && (this.open || this.close)) {
          //
          // This element contains opening and/or closing fences. Opera is not
          // able to stretch <mo> operators, so let's use an <mfenced> element
          // instead.
          //
          var mfenced = this.NativeMMLelement("mfenced");
          this.NativeMMLattributes(mfenced);
          i = 0, m = this.data.length;
          if (this.open) { mfenced.setAttribute("open", this.open); i++; }
          if (this.close) { mfenced.setAttribute("close", this.close); m--; }
          var tag = mfenced;
          if (m - i + 1 > 1) {
            //
            // If there are several children, put them in an <mrow>
            //
            tag = this.NativeMMLelement("mrow");
	    parent.appendChild(mfenced);
            parent = mfenced;
          }
          for (; i < m; i++) {
	    if (this.data[i]) {this.data[i].toNativeMML(tag)}
	    else {tag.appendChild(this.NativeMMLelement("mrow"))}
	  }
	  parent.appendChild(tag);
        } else {
	  this.SUPER(arguments).toNativeMML.call(this,parent);
	}
      }
    });

    MML.msubsup.Augment({
      //
      //  Use proper version of msub, msup, or msubsup, depending on
      //  which items are present
      //
      toNativeMML: function (parent) {
	var type = this.type;
	if (this.data[this.sup] == null) {type = "msub"}
	if (this.data[this.sub] == null) {type = "msup"}
	var tag = this.NativeMMLelement(type);
	this.NativeMMLattributes(tag);
	delete this.data[0].inferred;
	for (var i = 0, m = this.data.length; i < m; i++)
	  {if (this.data[i]) {this.data[i].toNativeMML(tag)}}
	parent.appendChild(tag);
      }
    });

    MML.munderover.Augment({
      //
      //  Use proper version of munder, mover, or munderover, depending on
      //  which items are present
      //
      toNativeMML: function (parent) {
	var type = this.type;
	if (this.data[this.under] == null) {type = "mover"}
	if (this.data[this.over] == null)  {type = "munder"}
	var tag = this.NativeMMLelement(type);
	this.NativeMMLattributes(tag);
	delete this.data[0].inferred;
	for (var i = 0, m = this.data.length; i < m; i++)
	  {if (this.data[i]) {this.data[i].toNativeMML(tag)}}
	parent.appendChild(tag);
      }
    });

    if (!isMSIE) {
      var SPLIT = MathJax.Hub.SplitList;
      MML.mtable.Augment({
        toNativeMML: function (parent) {
          var i, m;
          if (nMML.tableSpacingBug) {
            //
            // Parse the rowspacing/columnspacing. For convenience, we convert
            // them to a left/top padding value that will be applied to each
            // cell. The leftmost/topmost cells will use "0px".
            //
            var values = this.getValues("rowspacing", "columnspacing");
            this.nMMLtopPadding  = SPLIT("0px "+values.rowspacing);
            this.nMMLleftPadding = SPLIT("0px "+values.columnspacing);
            //
            // Transmit the top padding to each row.
            // If this.parent.nMML.topPadding does not contain enough value,
            // repeat the last one.
            //
            var tp = this.nMMLtopPadding, M = tp.length;
            for (i = 0, m = this.data.length; i < m; i++) {
              if (this.data[i])
                {this.data[i].nMMLtopPadding = tp[i < M ? i : M-1]}
            }
          }
          if (nMML.tableLabelBug) {
            //
            //  Look for labeled rows so we know how to handle them
            //
            for (i = 0, m = this.data.length; i < m; i++) {
              if (this.data[i] && this.data[i].isa(MML.mlabeledtr)) {
                var align = HUB.config.displayAlign.charAt(0),
                    side = this.Get("side").charAt(0);
                this.nMMLhasLabels = true;
                this.nMMLlaMatch = (align === side);
                this.nMMLforceWidth =
                  (align === "c" || !!((this.width||"").match("%")));
                break;
              }
            }
          }
          //
          //  Firefox < 13 doesn't handle width, so put it in styles instead
          //
          if (this.width && this.ffTableWidthBug) {
            var styles = (this.style||"").replace(/;\s*$/,"").split(";");
            if (styles[0] === "") {styles.shift()}
            styles.push("width:"+this.width);
            this.style = styles.join(";");
          }
          this.SUPER(arguments).toNativeMML.call(this,parent);
          //
          if (this.nMMLhasLabels) {
            var mtable = parent.firstChild;
            //
            //  Add column attributes on the left when extra columns where inserted
            //
            if (this.nMMLforceWidth || side !== "r") {
              var n = (align !== "l" ? 1 : 0) + (side === "l" ? 1 : 0);
              if (n) {
                var attr = {columnalign:"left", columnwidth:"auto",
                            columnspacing:"0px", columnlines:"none"};
                for (var id in attr) {if (attr.hasOwnProperty(id) && this[id]) {
                  var cols = [attr[id],attr[id]].slice(2-n).join(" ")+" ";
                  mtable.setAttribute(id,cols+mtable.getAttribute(id));
                }}
              }
            }
            //
            //  Force the table width to 100% when needed
            //
            if (this.nMMLforceWidth || !this.nMMLlaMatch)
              {mtable.setAttribute("width","100%")}
          }
        }
      });
      MML.mtr.Augment({
        toNativeMML: function (parent) {
          this.SUPER(arguments).toNativeMML.call(this,parent);
          var mtr = parent.lastChild;
          if (nMML.tableSpacingBug) {
            //
            // Set the row/column spacing. If this.parent.nMMLleftPadding does
            // not contain enough value, repeat the last one.
            //
            var lp = this.parent.nMMLleftPadding, M = lp.length;
            for (var mtd = mtr.firstChild, i = 0; mtd; mtd = mtd.nextSibling, i++) {
              CELLSPACING(mtd,this.nMMLtopPadding,lp[i < M ? i : M-1]);
            }
          }

          if (nMML.tableLabelBug) {
            var forceWidth = this.parent.nMMLforceWidth,
                side = this.parent.Get("side").charAt(0),
                align = HUB.config.displayAlign.charAt(0);

            if (this.parent.nMMLhasLabels && mtr.firstChild) {
              //
              //  If we add a label or padding column on the left of mlabeledtr,
              //    mirror that here and remove padding from first table mtd
              //    so the spacing is consistent with unlabeled equations
              //
              if (forceWidth || side !== "r") {
                NOPADDING("Left",mtr.firstChild);
                if (align !== "l") {
                  mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
                     .setAttribute("style","padding:0");
                }
                if (side === "l") {
                  mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
                     .setAttribute("style","padding:0");
                }
              }
              //
              //  If columns were added on the right, remove mtd padding
              //    so that spacing is consistent with unlabled equations
              //
              if (forceWidth || side !== "l") {NOPADDING("Right",mtr.lastChild)}
            }
          }
        }
      });
      MML.mlabeledtr.Augment({
        toNativeMML: function (parent) {
          var mtr = this.NativeMMLelement("mtr");
          this.NativeMMLattributes(mtr);
          //
          //  Add row data
          //
          for (var i = 1, m = this.data.length; i < m; i++) {
            if (this.data[i]) {this.data[i].toNativeMML(mtr)}
              else {mtr.appendChild(this.NativeMMLelement("mtd"))}
          }

          if (nMML.tableSpacingBug) {
            //
            // Set the row/column spacing. If this.parent.nMMLleftPadding does
            // not contain enough value, repeat the last one.
            //
            var lp = this.parent.nMMLleftPadding, M = lp.length; i = 0;
            for (var mtd = mtr.firstChild; mtd; mtd = mtd.nextSibling, i++) {
              CELLSPACING(mtd,this.nMMLtopPadding,lp[i < M ? i : M-1]);
            }
          }

          if (nMML.tableLabelBug) {
            var side = this.parent.Get("side").charAt(0),
                align = HUB.config.displayAlign.charAt(0),
                indent = HUB.config.displayIndent;
            //
            // Create label and either set the column width (if label is on the
            // same side as the alignment), or use mpadded to hide the label
            // width
            //
            this.data[0].toNativeMML(mtr);
            var label = mtr.lastChild, pad = label;
            if (side === align) {
              label.setAttribute("style","width:"+indent);
              label.setAttribute("columnalign",HUB.config.displayAlign);
            } else {
              pad = this.NativeMMLelement("mpadded");
              pad.setAttribute("style","width:0");
              pad.setAttribute("width","0px");
              pad.appendChild(label.firstChild);
              label.appendChild(pad);
            }
            NOPADDING("",label); mtr.removeChild(label);
            //
            //  Get spacing to use for separation of label from main table
            //
            var width = 100, forceWidth = this.parent.nMMLforceWidth;
            if ((this.parent.width||"").match(/%/)) {
              width -= parseFloat(this.parent.width)
            };
            var w = width;
            //
            //  Add spacing (and possibly label) at the left if needed
            //
            if (forceWidth || side !== "r") {
              NOPADDING("Left",mtr.firstChild);
              if (align !== "l") {
                if (align === "c") {w /= 2}; width -= w;
                mtr.insertBefore(this.NativeMMLelement("mtd"),mtr.firstChild)
                   .setAttribute("style","padding:0;width:"+w+"%");
              }
              if (side === "l") {mtr.insertBefore(label,mtr.firstChild)}
            }
            //
            //  Add spacing (and possibly label) at the right if needed
            //
            if (forceWidth || side !== "l") {
              NOPADDING("Right",mtr.lastChild);
              if (align !== "r") {
                mtr.appendChild(this.NativeMMLelement("mtd"))
                   .setAttribute("style","padding:0;width:"+width+"%");
              }
              if (side === "r") {
                if (side !== align) {pad.setAttribute("lspace","-1width")}
                mtr.appendChild(label);
              }
            }
          }
          //
          //  Add row to table
          //
          parent.appendChild(mtr);
        }
      });
      
      MML.mtd.Augment({
        toNativeMML: function (parent) {
          var tag = parent.appendChild(this.NativeMMLelement(this.type));
          this.NativeMMLattributes(tag);
          if (nMML.widthBug) {tag = tag.appendChild(this.NativeMMLelement("mrow"))}
          for (var i = 0, m = this.data.length; i < m; i++) {
            if (this.data[i]) {this.data[i].toNativeMML(tag)}
             else {tag.appendChild(this.NativeMMLelement("mrow"))}
           }
        }
      });
      
      MML.mspace.Augment({
        toNativeMML: function (parent) {
          this.SUPER(arguments).toNativeMML.call(this,parent);
          if (nMML.spaceWidthBug && this.width) {
            var mspace = parent.lastChild;
            var width = mspace.getAttribute("width");
            var style = mspace.getAttribute("style") || "";
            if (style != "") {style += ";"}
            mspace.setAttribute("style",style+"width:"+width);
          }
        }
      });

      var fontDir = MathJax.Ajax.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");

      /*
       *  Add fix for mathvariant issues in FF
       */
      nMML.Augment({
	config: {
	  styles: {
	    '[mathvariant="double-struck"]':          {"font-family":"MathJax_AMS, MathJax_AMS-WEB"},
	    '[mathvariant="script"]':                 {"font-family":"MathJax_Script, MathJax_Script-WEB"},
	    '[mathvariant="fraktur"]':                {"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},
	    '[mathvariant="bold-script"]':            {"font-family":"MathJax_Script, MathJax_Caligraphic-WEB", "font-weight":"bold"},
	    '[mathvariant="bold-fraktur"]':           {"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB", "font-weight":"bold"},
	    '[mathvariant="monospace"]':              {"font-family":"monospace"},
	    '[mathvariant="sans-serif"]':             {"font-family":"sans-serif"},
	    '[mathvariant="bold-sans-serif"]':        {"font-family":"sans-serif", "font-weight":"bold"},
	    '[mathvariant="sans-serif-italic"]':      {"font-family":"sans-serif", "font-style":"italic"},
	    '[mathvariant="sans-serif-bold-italic"]': {"font-family":"sans-serif", "font-style":"italic", "font-weight":"bold"},
	    '[class="MJX-tex-oldstyle"]':             {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},
	    '[class="MJX-tex-oldstyle-bold"]':        {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB", "font-weight":"bold"},
	    '[class="MJX-tex-caligraphic"]':          {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},
	    '[class="MJX-tex-caligraphic-bold"]':     {"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB", "font-weight":"bold"},

	    '@font-face /*1*/': {
	      "font-family": "MathJax_AMS-WEB",
	      "src": "url('"+fontDir+"/MathJax_AMS-Regular.otf')"
	    },
	    '@font-face /*2*/': {
	      "font-family": "MathJax_Script-WEB",
	      "src": "url('"+fontDir+"/MathJax_Script-Regular.otf')"
	    },
	    '@font-face /*3*/': {
	      "font-family": "MathJax_Fraktur-WEB",
	      "src": "url('"+fontDir+"/MathJax_Fraktur-Regular.otf')"
	    },
	    '@font-face /*4*/': {
	      "font-family": "MathJax_Caligraphic-WEB",
	      "src": "url('"+fontDir+"/MathJax_Caligraphic-Regular.otf')"
	    },
	    '@font-face /*5*/': {
	      "font-family": "MathJax_Fraktur-WEB", "font-weight":"bold",
	      "src": "url('"+fontDir+"/MathJax_Fraktur-Bold.otf')"
	    },
	    '@font-face /*6*/': {
	      "font-family": "MathJax_Caligraphic-WEB", "font-weight":"bold",
	      "src": "url('"+fontDir+"/MathJax_Caligraphic-Bold.otf')"
	    }
	  }
	}
      });
    }
    
    MML.math.Augment({
      toNativeMML: function (parent) {
        var tag = this.NativeMMLelement(this.type), math = tag;
        //
        //  Some browsers don't seem to add the xmlns attribute, so do it by hand.
        //
        tag.setAttribute("xmlns",nMML.MMLnamespace);
        this.NativeMMLattributes(tag);
        //
        //  Use an extra <mrow> in FF so that we can get the correct width
        //    (the math element doesn't always have an accurate one, see below)
        //
        if (nMML.widthBug) {tag = tag.appendChild(this.NativeMMLelement("mrow"))}
        //
        //  Add the children
        //
        for (var i = 0, m = this.data.length; i < m; i++) {
          if (this.data[i]) {this.data[i].toNativeMML(tag)}
            else {tag.appendChild(this.NativeMMLelement("mrow"))}
        }
        //
        //  Look for a top-level mtable and if it has labels
        //    Make sure the containers have 100% width, when needed
        //    If the label is on the same side as alignment,
        //      override the margin set by the stylesheet.
        //
        var mtable = ((this.data[0]||[]).data[0]||{});
        if (mtable.nMMLhasLabels) {
          if (mtable.nMMLforceWidth || !mtable.nMMLlaMatch) {
            tag.setAttribute("style","width:100%")
            parent.style.width = parent.parentNode.style.width="100%";
          };
          if (mtable.nMMLlaMatch) {
            if (parent.parentNode.parentNode.nodeName.toLowerCase() === "div") {
              parent.parentNode.parentNode.style
                .setProperty("margin-"+HUB.config.displayAlign,"0px","important");
            }
          }
        }
        //
        //  Add the math to the page
        //
        parent.appendChild(math);
        //
        //  Firefox can't seem to get the width of <math> elements right, so
        //  use an <mrow> to get the actual width and set the style on the 
        //  parent element to match.  Even if we set the <math> width properly,
        //  it doesn't seem to propagate up to the <span> correctly.
        //
        if (nMML.widthBug && !mtable.nMMLforceWidth && mtable.nMMLlaMatch) {
          //
          //  Convert size to ex's so that it scales properly if the print media
          //    has a different font size.
          //
          parent.style.width = (math.firstChild.scrollWidth/nMML.ex).toFixed(3) + "ex";
        }
      }
    });

    MML.mfenced.Augment({
      toNativeMML: function (parent) {
        if (!nMML.mfencedBug) {
	  this.SUPER(arguments).toNativeMML.call(this,parent);
          return;
        }

        //
        // Some browsers do not handle <mfenced> very well. The MathML spec
        // suggests this equivalent construction instead, so let's use it:
        // <mrow> open, child1, sep1, child2, ... sep(N-1), childN, close</mrow>
        // Opera is a bit special: it does not support stretchy <mo>, does not
        // parse mfenced@open/mfenced@close very well, does not support
        // mfenced@separators and only displays the first child of the <mfenced>
        // element... For this browser, we will use this construction:
        // <mfenced open="open" close="close">
        //   <mrow>child1, sep1, child2, sep2, ..., sep(N-1), childN</mrow>
        // </mfenced>
        //
        var isOpera = HUB.Browser.isOpera;
        var i, m, operator;

        //
        // parse the open, close and separators attributes.
        //
        var values = this.getValues("open","close","separators");
        values.open = values.open.replace(/^\s+/,"").replace(/\s+$/,"");
        values.close = values.close.replace(/^\s+/,"").replace(/\s+$/,"");
        values.separators = values.separators.replace(/\s+/g,"").split("");
        if (values.separators.length == 0) {
          //
          // No separators specified, do not use separators at all.
          //
          values.separators = null;
        } else if (values.separators.length < this.data.length-1) {
          //
          // There are not enough separators, repeat the last one.
          //
          var s = values.separators[values.separators.length-1];
          for (i = this.data.length-1-values.separators.length; i > 0; i--)
            {values.separators.push(s)}
        }

        //
        // Create an <mrow> container and attach the attributes of the
        // <mfenced> element to it. Note: removeAttribute does not raise any
        // exception when the attributes is absent.
        //
        var tag = this.NativeMMLelement(isOpera ? this.type : "mrow");
        this.NativeMMLattributes(tag);
        tag.removeAttribute("separators");
        if (isOpera) {
          tag.setAttribute("open", values.open);
          tag.setAttribute("close", values.close);
          if (this.data.length > 1) {
            parent.appendChild(tag); parent = tag;
            tag = this.NativeMMLelement("mrow");
          }
        } else {
          tag.removeAttribute("open");
          tag.removeAttribute("close");
        }

        if (!isOpera) {
          //
          // Append the opening fence
          // 
          operator = this.NativeMMLelement("mo");
          operator.setAttribute("fence", "true");
          operator.textContent = values.open;
          tag.appendChild(operator);
        }

        //
        // Append the content of the <mfenced>
        //
        for (i = 0, m = this.data.length; i < m; i++) {
          if (values.separators && i > 0) {
            operator = this.NativeMMLelement("mo");
            operator.setAttribute("separator", "true");
            operator.textContent = values.separators[i-1];
            tag.appendChild(operator);
          }
	  if (this.data[i]) {this.data[i].toNativeMML(tag)}
            else {tag.appendChild(this.NativeMMLelement("mrow"))}
        }

        if (!isOpera) {
          //
          // Append the closing fence
          //
          operator = this.NativeMMLelement("mo");
          operator.setAttribute("fence", "true");
          operator.textContent = values.close;
          tag.appendChild(operator);
        }

        // finally, append the new element to the parent.
        parent.appendChild(tag);
      }
    });

    MML.TeXAtom.Augment({
      //
      //  Convert TeXatom to an mrow
      //
      toNativeMML: function (parent) {
	// FIXME:  Handle spacing using mpadded?
	var tag = this.NativeMMLelement("mrow");
	this.NativeMMLattributes(tag);
	this.data[0].toNativeMML(tag);
	parent.appendChild(tag);
      }
    });

    MML.chars.Augment({
      //
      //  Add a text node
      //
      toNativeMML: function (parent) {
	parent.appendChild(document.createTextNode(this.toString()));
      }
    });

    MML.entity.Augment({
      //
      //  Add a text node
      //
      toNativeMML: function (parent) {
	parent.appendChild(document.createTextNode(this.toString()));
      }
    });
    
    MML.xml.Augment({
      //
      //  Insert the XML verbatim
      //
      toNativeMML: function (parent) {
        for (var i = 0, m = this.data.length; i < m; i++)
          {parent.appendChild(this.data[i].cloneNode(true))}
      }
    });

    HUB.Register.StartupHook("TeX mathchoice Ready",function () {
      MML.TeXmathchoice.Augment({
	//
	//  Get the MathML for the selected choice
	//
	toNativeMML: function (parent) {this.Core().toNativeMML(parent)}
      });
    });

    //
    //  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 NativeMML's Require routine, asking for the mml jax again)
    //  so wait until after the mml jax has finished processing.
    //
    setTimeout(MathJax.Callback(["loadComplete",nMML,"jax.js"]),0);
  });
  

  //
  //  Determine browser characteristics
  //
  HUB.Browser.Select({
    MSIE: function (browser) {
      var mode = (document.documentMode || 0);
      nMML.msieIE8HeightBug = (mode === 8);
    },
    Opera: function (browser) {
      nMML.operaPositionBug = true;
      nMML.stretchyMoBug = true;
      nMML.tableLabelBug = true;
      nMML.mfencedBug = true;
    },
    Firefox: function (browser) {
      nMML.ffTableWidthBug = !browser.versionAtLeast("13.0"); // <mtable width="xx"> not implemented
      nMML.forceReflow = true;   // <mtable> with alignments set don't display properly without a reflow
      nMML.widthBug = true;      // <math> elements don't always get the correct width

      // In Firefox < 20, the intrinsic width of <mspace> is not computed
      // correctly and thus the element is displayed incorrectly in <mtable>.
      nMML.spaceWidthBug = !browser.versionAtLeast("20.0");

      nMML.tableSpacingBug = true; // mtable@rowspacing/mtable@columnspacing not
                                   // supported.
      nMML.tableLabelBug = true;   // mlabeledtr is not implemented.
      nMML.mfencedBug = true;      // mfenced not displayed correctly
    },
    Chrome: function (browser) {
      nMML.tableSpacingBug = true;
      nMML.tableLabelBug = true;
      nMML.mfencedBug = true;
    },
    Safari: function (browser) {
      nMML.tableSpacingBug = true;
      nMML.tableLabelBug = true;
      nMML.mfencedBug = true;
    }
  });
  

  HUB.Register.StartupHook("End Cookie",function () {
    if (HUB.config.menuSettings.zoom !== "None")
      {AJAX.Require("[MathJax]/extensions/MathZoom.js")}
  });

})(MathJax.OutputJax.NativeMML, MathJax.Hub, MathJax.Ajax, MathJax.HTML);