/*
ASCIIMathML.js
==============
This file contains JavaScript functions to convert ASCII math notation
and LaTeX to Presentation MathML. Simple graphics commands are also
translated to SVG images. The conversion is done while the (X)HTML 
page loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet 
Explorer 6/7 + MathPlayer (http://www.dessci.com/en/products/mathplayer/) +
Adobe SVGview 3.03 (http://www.adobe.com/svg/viewer/install/).

Just add the next line to your (X)HTML page with this file in the same folder:

<script type="text/javascript" src="ASCIIMathML.js"></script>

(using the graphics in IE also requires the file "d.svg" in the same folder).
This is a convenient and inexpensive solution for authoring MathML and SVG.

Version 2.0.1 Sept 27, 2007, (c) Peter Jipsen http://www.chapman.edu/~jipsen
This version extends ASCIIMathML.js with LaTeXMathML.js and ASCIIsvg.js.
Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js
If you use it on a webpage, please send the URL to jipsen@chapman.edu

The LaTeXMathML modifications were made by Douglas Woodall, June 2006.
(for details see header on the LaTeXMathML part in middle of file)

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at
your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT 
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS 
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License 
(at http://www.gnu.org/licences/lgpl.html) for more details.
*/

var mathcolor = "blue";        // change it to "" (to inherit) or another color
var mathfontsize = "1em";      // change to e.g. 1.2em for larger math
var mathfontfamily = "serif";  // change to "" to inherit (works in IE) 
                               // or another family (e.g. "arial")
var automathrecognize = false; // writing "amath" on page makes this true
var checkForMathML = true;     // check if browser can display MathML
var notifyIfNoMathML = true;   // display note at top if no MathML capability
var alertIfNoMathML = false;   // show alert box if no MathML capability
var translateOnLoad = true;    // set to false to do call translators from js 
var translateLaTeX = false;     // false to preserve $..$, $$..$$
var translateLaTeXformatting = false; // false to preserve \emph,\begin{},\end{}
var translateASCIIMath = true; // false to preserve `..`
var translateASCIIsvg = true;  // false to preserve agraph.., \begin{graph}..
var avoidinnerHTML = false;   // set true if assigning to innerHTML gives error
var displaystyle = true;      // puts limits above and below large operators
var showasciiformulaonhover = true; // helps students learn ASCIIMath
var decimalsign = ".";        // change to "," if you like, beware of `(1,2)`!
var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters
var AMdocumentId = "wikitext" // PmWiki element containing math (default=body)
var checkforprocessasciimathinmoodle = false; // true for systems like Moodle
var dsvglocation = ""; // path to d.svg (blank if same as ASCIIMathML.js loc)

var isIE = document.createElementNS==null;

if (document.getElementById==null) 
  alert("This webpage requires a recent browser such as\
\nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")

// all further ASCIIMathML global variables start with "AM"

function AMcreateElementXHTML(t) {
  if (isIE) return document.createElement(t);
  else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
}

function AMnoMathMLNote() {
  var nd = AMcreateElementXHTML("h3");
  nd.setAttribute("align","center")
  nd.appendChild(AMcreateElementXHTML("p"));
  nd.appendChild(document.createTextNode("To view the "));
  var an = AMcreateElementXHTML("a");
  an.appendChild(document.createTextNode("ASCIIMathML"));
  an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));  
  an = AMcreateElementXHTML("a");
  an.appendChild(document.createTextNode("MathPlayer"));
  an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));
  nd.appendChild(AMcreateElementXHTML("p"));
  return nd;
}

function AMisMathMLavailable() {
  if (navigator.appName.slice(0,8)=="Netscape") 
    if (navigator.appVersion.slice(0,1)>="5") return null;
    else return AMnoMathMLNote();
  else if (navigator.appName.slice(0,9)=="Microsoft")
    try {
        var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
        return null;
    } catch (e) {
        return AMnoMathMLNote();
    }
  else return AMnoMathMLNote();
}

// character lists for Mozilla/Netscape fonts
var AMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];
var AMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];
var AMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];

var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4, 
    RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,
    LEFTRIGHT = 9, TEXT = 10; // token types

var AMsqrt = {input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
  AMroot  = {input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
  AMfrac  = {input:"frac", tag:"mfrac", output:"/",    tex:null, ttype:BINARY},
  AMdiv   = {input:"/",    tag:"mfrac", output:"/",    tex:null, ttype:INFIX},
  AMover  = {input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
  AMsub   = {input:"_",    tag:"msub",  output:"_",    tex:null, ttype:INFIX},
  AMsup   = {input:"^",    tag:"msup",  output:"^",    tex:null, ttype:INFIX},
  AMtext  = {input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
  AMmbox  = {input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
  AMquote = {input:"\"",   tag:"mtext", output:"mbox", tex:null, ttype:TEXT};

var AMsymbols = [
//some greek symbols
{input:"alpha",  tag:"mi", output:"\u03B1", tex:null, ttype:CONST},
{input:"beta",   tag:"mi", output:"\u03B2", tex:null, ttype:CONST},
{input:"chi",    tag:"mi", output:"\u03C7", tex:null, ttype:CONST},
{input:"delta",  tag:"mi", output:"\u03B4", tex:null, ttype:CONST},
{input:"Delta",  tag:"mo", output:"\u0394", tex:null, ttype:CONST},
{input:"epsi",   tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},
{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},
{input:"eta",    tag:"mi", output:"\u03B7", tex:null, ttype:CONST},
{input:"gamma",  tag:"mi", output:"\u03B3", tex:null, ttype:CONST},
{input:"Gamma",  tag:"mo", output:"\u0393", tex:null, ttype:CONST},
{input:"iota",   tag:"mi", output:"\u03B9", tex:null, ttype:CONST},
{input:"kappa",  tag:"mi", output:"\u03BA", tex:null, ttype:CONST},
{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},
{input:"mu",     tag:"mi", output:"\u03BC", tex:null, ttype:CONST},
{input:"nu",     tag:"mi", output:"\u03BD", tex:null, ttype:CONST},
{input:"omega",  tag:"mi", output:"\u03C9", tex:null, ttype:CONST},
{input:"Omega",  tag:"mo", output:"\u03A9", tex:null, ttype:CONST},
{input:"phi",    tag:"mi", output:"\u03C6", tex:null, ttype:CONST},
{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},
{input:"Phi",    tag:"mo", output:"\u03A6", tex:null, ttype:CONST},
{input:"pi",     tag:"mi", output:"\u03C0", tex:null, ttype:CONST},
{input:"Pi",     tag:"mo", output:"\u03A0", tex:null, ttype:CONST},
{input:"psi",    tag:"mi", output:"\u03C8", tex:null, ttype:CONST},
{input:"Psi",    tag:"mi", output:"\u03A8", tex:null, ttype:CONST},
{input:"rho",    tag:"mi", output:"\u03C1", tex:null, ttype:CONST},
{input:"sigma",  tag:"mi", output:"\u03C3", tex:null, ttype:CONST},
{input:"Sigma",  tag:"mo", output:"\u03A3", tex:null, ttype:CONST},
{input:"tau",    tag:"mi", output:"\u03C4", tex:null, ttype:CONST},
{input:"theta",  tag:"mi", output:"\u03B8", tex:null, ttype:CONST},
{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},
{input:"Theta",  tag:"mo", output:"\u0398", tex:null, ttype:CONST},
{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},
{input:"xi",     tag:"mi", output:"\u03BE", tex:null, ttype:CONST},
{input:"Xi",     tag:"mo", output:"\u039E", tex:null, ttype:CONST},
{input:"zeta",   tag:"mi", output:"\u03B6", tex:null, ttype:CONST},

//binary operation symbols
//{input:"-",  tag:"mo", output:"\u0096", tex:null, ttype:CONST},
{input:"*",  tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},
{input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST},
{input:"//", tag:"mo", output:"/",      tex:null, ttype:CONST},
{input:"\\\\", tag:"mo", output:"\\",   tex:"backslash", ttype:CONST},
{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST},
{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},
{input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST},
{input:"@",  tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},
{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},
{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},
{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},
{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},
{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},
{input:"^^",  tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},
{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},
{input:"vv",  tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},
{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},
{input:"nn",  tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},
{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},
{input:"uu",  tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},
{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},

//binary relation symbols
{input:"!=",  tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},
{input:":=",  tag:"mo", output:":=",     tex:null, ttype:CONST},
{input:"lt",  tag:"mo", output:"<",      tex:null, ttype:CONST},
{input:"<=",  tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
{input:">=",  tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
{input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST},
{input:"-<",  tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},
{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},
{input:">-",  tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},
{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},
{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},
{input:"in",  tag:"mo", output:"\u2208", tex:null, ttype:CONST},
{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},
{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},
{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},
{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},
{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},
{input:"-=",  tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},
{input:"~=",  tag:"mo", output:"\u2245", tex:"cong", ttype:CONST},
{input:"~~",  tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},
{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},

//logical symbols
{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},
{input:"or",  tag:"mtext", output:"or",  tex:null, ttype:SPACE},
{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},
{input:"=>",  tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST},
{input:"if",  tag:"mo", output:"if",     tex:null, ttype:SPACE},
{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST},
{input:"AA",  tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},
{input:"EE",  tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},
{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},
{input:"TT",  tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},
{input:"|--",  tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},
{input:"|==",  tag:"mo", output:"\u22A8", tex:"models", ttype:CONST},

//grouping brackets
{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET},
{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET},
{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET},
{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET},
{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET},
{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET},
{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT},
//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},
{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET},
{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET},
{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},
{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},

//miscellaneous symbols
{input:"int",  tag:"mo", output:"\u222B", tex:null, ttype:CONST},
{input:"dx",   tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},
{input:"dy",   tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},
{input:"dz",   tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},
{input:"dt",   tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},
{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},
{input:"del",  tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},
{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},
{input:"+-",   tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},
{input:"O/",   tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},
{input:"oo",   tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},
{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},
{input:"...",  tag:"mo", output:"...",    tex:"ldots", ttype:CONST},
{input:":.",  tag:"mo", output:"\u2234",  tex:"therefore", ttype:CONST},
{input:"/_",  tag:"mo", output:"\u2220",  tex:"angle", ttype:CONST},
{input:"\\ ",  tag:"mo", output:"\u00A0", tex:null, ttype:CONST},
{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},
{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},
{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},
{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},
{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},
{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},
{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST},
{input:"|__", tag:"mo", output:"\u230A",  tex:"lfloor", ttype:CONST},
{input:"__|", tag:"mo", output:"\u230B",  tex:"rfloor", ttype:CONST},
{input:"|~", tag:"mo", output:"\u2308",  tex:"lceiling", ttype:CONST},
{input:"~|", tag:"mo", output:"\u2309",  tex:"rceiling", ttype:CONST},
{input:"CC",  tag:"mo", output:"\u2102", tex:null, ttype:CONST},
{input:"NN",  tag:"mo", output:"\u2115", tex:null, ttype:CONST},
{input:"QQ",  tag:"mo", output:"\u211A", tex:null, ttype:CONST},
{input:"RR",  tag:"mo", output:"\u211D", tex:null, ttype:CONST},
{input:"ZZ",  tag:"mo", output:"\u2124", tex:null, ttype:CONST},
{input:"f",   tag:"mi", output:"f",      tex:null, ttype:UNARY, func:true},
{input:"g",   tag:"mi", output:"g",      tex:null, ttype:UNARY, func:true},

//standard functions
{input:"lim",  tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},
{input:"Lim",  tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},
{input:"sin",  tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
{input:"cos",  tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
{input:"tan",  tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
{input:"cot",  tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
{input:"sec",  tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
{input:"csc",  tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
{input:"log",  tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
{input:"ln",   tag:"mo", output:"ln",  tex:null, ttype:UNARY, func:true},
{input:"det",  tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},
{input:"dim",  tag:"mo", output:"dim", tex:null, ttype:CONST},
{input:"mod",  tag:"mo", output:"mod", tex:null, ttype:CONST},
{input:"gcd",  tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},
{input:"lcm",  tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true},
{input:"lub",  tag:"mo", output:"lub", tex:null, ttype:CONST},
{input:"glb",  tag:"mo", output:"glb", tex:null, ttype:CONST},
{input:"min",  tag:"mo", output:"min", tex:null, ttype:UNDEROVER},
{input:"max",  tag:"mo", output:"max", tex:null, ttype:UNDEROVER},

//arrows
{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},
{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},
{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},
{input:"->",   tag:"mo", output:"\u2192", tex:"to", ttype:CONST},
{input:"|->",  tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},
{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},
{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},
{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},
{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},

//commands with argument
AMsqrt, AMroot, AMfrac, AMdiv, AMover, AMsub, AMsup,
{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},
{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},
{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},
{input:"dot", tag:"mover", output:".",      tex:null, ttype:UNARY, acc:true},
{input:"ddot", tag:"mover", output:"..",    tex:null, ttype:UNARY, acc:true},
{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
AMtext, AMmbox, AMquote,
{input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY},
{input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
{input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},
{input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},
{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb},
{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb},
{input:"cc",  tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal},
{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal},
{input:"tt",  tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY},
{input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},
{input:"fr",  tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk},
{input:"mathfrak",  tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk}
];

function compareNames(s1,s2) {
  if (s1.input > s2.input) return 1
  else return -1;
}

var AMnames = []; //list of input symbols

function AMinitSymbols() {
  var texsymbols = [], i;
  for (i=0; i<AMsymbols.length; i++)
    if (AMsymbols[i].tex) 
      texsymbols[texsymbols.length] = {input:AMsymbols[i].tex, 
        tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype};
  AMsymbols = AMsymbols.concat(texsymbols);
  AMsymbols.sort(compareNames);
  for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
}

var AMmathml = "http://www.w3.org/1998/Math/MathML";

function AMcreateElementMathML(t) {
  if (isIE) return document.createElement("m:"+t);
  else return document.createElementNS(AMmathml,t);
}

function AMcreateMmlNode(t,frag) {
//  var node = AMcreateElementMathML(name);
  if (isIE) var node = document.createElement("m:"+t);
  else var node = document.createElementNS(AMmathml,t);
  node.appendChild(frag);
  return node;
}

function define(oldstr,newstr) {
  AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr, 
                                 tex:null, ttype:DEFINITION}]);
  AMsymbols.sort(compareNames);
  for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
}

function AMremoveCharsAndBlanks(str,n) {
//remove n characters and any following blanks
  var st;
  if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ") 
    st = str.slice(n+1);
  else st = str.slice(n);
  for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);
  return st.slice(i);
}

function AMposition(arr, str, n) { 
// return position >=n where str appears or would be inserted
// assumes arr is sorted
  if (n==0) {
    var h,m;
    n = -1;
    h = arr.length;
    while (n+1<h) {
      m = (n+h) >> 1;
      if (arr[m]<str) n = m; else h = m;
    }
    return h;
  } else
    for (var i=n; i<arr.length && arr[i]<str; i++);
  return i; // i=arr.length || arr[i]>=str
}

function AMgetSymbol(str) {
//return maximal initial substring of str that appears in names
//return null if there is none
  var k = 0; //new pos
  var j = 0; //old pos
  var mk; //match pos
  var st;
  var tagst;
  var match = "";
  var more = true;
  for (var i=1; i<=str.length && more; i++) {
    st = str.slice(0,i); //initial substring of length i
    j = k;
    k = AMposition(AMnames, st, j);
    if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){
      match = AMnames[k];
      mk = k;
      i = match.length;
    }
    more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k];
  }
  AMpreviousSymbol=AMcurrentSymbol;
  if (match!=""){
    AMcurrentSymbol=AMsymbols[mk].ttype;
    return AMsymbols[mk]; 
  }
// if str[0] is a digit or - return maxsubstring of digits.digits
  AMcurrentSymbol=CONST;
  k = 1;
  st = str.slice(0,1);
  var integ = true;
  while ("0"<=st && st<="9" && k<=str.length) {
    st = str.slice(k,k+1);
    k++;
  }
  if (st == decimalsign) {
    st = str.slice(k,k+1);
    if ("0"<=st && st<="9") {
      integ = false;
      k++;
      while ("0"<=st && st<="9" && k<=str.length) {
        st = str.slice(k,k+1);
        k++;
      }
    }
  }
  if ((integ && k>1) || k>2) {
    st = str.slice(0,k-1);
    tagst = "mn";
  } else {
    k = 2;
    st = str.slice(0,1); //take 1 character
    tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
  }
  if (st=="-" && AMpreviousSymbol==INFIX) {
    AMcurrentSymbol = INFIX;  //trick "/" into recognizing "-" on second parse
    return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
  }
  return {input:st, tag:tagst, output:st, ttype:CONST};
}

function AMremoveBrackets(node) {
  var st;
  if (node.nodeName=="mrow") {
    st = node.firstChild.firstChild.nodeValue;
    if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);
  }
  if (node.nodeName=="mrow") {
    st = node.lastChild.firstChild.nodeValue;
    if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);
  }
}

/*Parsing ASCII math expressions with the following grammar
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
u ::= sqrt | text | bb | other unary symbols for font commands
b ::= frac | root | stackrel         binary symbols
l ::= ( | [ | { | (: | {:            left brackets
r ::= ) | ] | } | :) | :}            right brackets
S ::= v | lEr | uS | bSS             Simple expression
I ::= S_S | S^S | S_S^S | S          Intermediate expression
E ::= IE | I/I                       Expression
Each terminal symbol is translated into a corresponding mathml node.*/

var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;

function AMparseSexpr(str) { //parses str and returns [node,tailstr]
  var symbol, node, result, i, st,// rightvert = false,
    newFrag = document.createDocumentFragment();
  str = AMremoveCharsAndBlanks(str,0);
  symbol = AMgetSymbol(str);             //either a token or a bracket or empty
  if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {
    return [null,str];
  }
  if (symbol.ttype == DEFINITION) {
    str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length); 
    symbol = AMgetSymbol(str);
  }
  switch (symbol.ttype) {
  case UNDEROVER:
  case CONST:
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    return [AMcreateMmlNode(symbol.tag,        //its a constant
                             document.createTextNode(symbol.output)),str];
  case LEFTBRACKET:   //read (expr+)
    AMnestingDepth++;
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    result = AMparseExpr(str,true);
    AMnestingDepth--;
    if (typeof symbol.invisible == "boolean" && symbol.invisible) 
      node = AMcreateMmlNode("mrow",result[0]);
    else {
      node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
      node = AMcreateMmlNode("mrow",node);
      node.appendChild(result[0]);
    }
    return [node,result[1]];
  case TEXT:
      if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);
      if (str.charAt(0)=="{") i=str.indexOf("}");
      else if (str.charAt(0)=="(") i=str.indexOf(")");
      else if (str.charAt(0)=="[") i=str.indexOf("]");
      else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;
      else i = 0;
      if (i==-1) i = str.length;
      st = str.slice(1,i);
      if (st.charAt(0) == " ") {
        node = AMcreateElementMathML("mspace");
        node.setAttribute("width","1ex");
        newFrag.appendChild(node);
      }
      newFrag.appendChild(
        AMcreateMmlNode(symbol.tag,document.createTextNode(st)));
      if (st.charAt(st.length-1) == " ") {
        node = AMcreateElementMathML("mspace");
        node.setAttribute("width","1ex");
        newFrag.appendChild(node);
      }
      str = AMremoveCharsAndBlanks(str,i+1);
      return [AMcreateMmlNode("mrow",newFrag),str];
  case UNARY:
      str = AMremoveCharsAndBlanks(str,symbol.input.length); 
      result = AMparseSexpr(str);
      if (result[0]==null) return [AMcreateMmlNode(symbol.tag,
                             document.createTextNode(symbol.output)),str];
      if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
        st = str.charAt(0);
        if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
          return [AMcreateMmlNode(symbol.tag,
                    document.createTextNode(symbol.output)),str];
        } else {
          node = AMcreateMmlNode("mrow",
           AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
          node.appendChild(result[0]);
          return [node,result[1]];
        }
      }
      AMremoveBrackets(result[0]);
      if (symbol.input == "sqrt") {           // sqrt
        return [AMcreateMmlNode(symbol.tag,result[0]),result[1]];
      } else if (typeof symbol.acc == "boolean" && symbol.acc) {   // accent
        node = AMcreateMmlNode(symbol.tag,result[0]);
        node.appendChild(AMcreateMmlNode("mo",document.createTextNode(symbol.output)));
        return [node,result[1]];
      } else {                        // font change command
        if (!isIE && typeof symbol.codes != "undefined") {
          for (i=0; i<result[0].childNodes.length; i++)
            if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {
              st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:
                              result[0].childNodes[i].firstChild.nodeValue);
              var newst = [];
              for (var j=0; j<st.length; j++)
                if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +
                  String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);
                else newst = newst + st.charAt(j);
              if (result[0].nodeName=="mi")
                result[0]=AMcreateElementMathML("mo").
                          appendChild(document.createTextNode(newst));
              else result[0].replaceChild(AMcreateElementMathML("mo").
          appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
            }
        }
        node = AMcreateMmlNode(symbol.tag,result[0]);
        node.setAttribute(symbol.atname,symbol.atval);
        return [node,result[1]];
      }
  case BINARY:
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    result = AMparseSexpr(str);
    if (result[0]==null) return [AMcreateMmlNode("mo",
                           document.createTextNode(symbol.input)),str];
    AMremoveBrackets(result[0]);
    var result2 = AMparseSexpr(result[1]);
    if (result2[0]==null) return [AMcreateMmlNode("mo",
                           document.createTextNode(symbol.input)),str];
    AMremoveBrackets(result2[0]);
    if (symbol.input=="root" || symbol.input=="stackrel") 
      newFrag.appendChild(result2[0]);
    newFrag.appendChild(result[0]);
    if (symbol.input=="frac") newFrag.appendChild(result2[0]);
    return [AMcreateMmlNode(symbol.tag,newFrag),result2[1]];
  case INFIX:
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    return [AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str];
  case SPACE:
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    node = AMcreateElementMathML("mspace");
    node.setAttribute("width","1ex");
    newFrag.appendChild(node);
    newFrag.appendChild(
      AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
    node = AMcreateElementMathML("mspace");
    node.setAttribute("width","1ex");
    newFrag.appendChild(node);
    return [AMcreateMmlNode("mrow",newFrag),str];
  case LEFTRIGHT:
//    if (rightvert) return [null,str]; else rightvert = true;
    AMnestingDepth++;
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    result = AMparseExpr(str,false);
    AMnestingDepth--;
    var st = "";
    if (result[0].lastChild!=null)
      st = result[0].lastChild.firstChild.nodeValue;
    if (st == "|") { // its an absolute value subterm
      node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
      node = AMcreateMmlNode("mrow",node);
      node.appendChild(result[0]);
      return [node,result[1]];
    } else { // the "|" is a \mid
      node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
      node = AMcreateMmlNode("mrow",node);
      return [node,str];
    }
  default:
//alert("default");
    str = AMremoveCharsAndBlanks(str,symbol.input.length); 
    return [AMcreateMmlNode(symbol.tag,        //its a constant
                             document.createTextNode(symbol.output)),str];
  }
}

function AMparseIexpr(str) {
  var symbol, sym1, sym2, node, result, underover;
  str = AMremoveCharsAndBlanks(str,0);
  sym1 = AMgetSymbol(str);
  result = AMparseSexpr(str);
  node = result[0];
  str = result[1];
  symbol = AMgetSymbol(str);
  if (symbol.ttype == INFIX && symbol.input != "/") {
    str = AMremoveCharsAndBlanks(str,symbol.input.length);
//    if (symbol.input == "/") result = AMparseIexpr(str); else ...
    result = AMparseSexpr(str);
    if (result[0] == null) // show box in place of missing argument
      result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
    else AMremoveBrackets(result[0]);
    str = result[1];
//    if (symbol.input == "/") AMremoveBrackets(node);
    if (symbol.input == "_") {
      sym2 = AMgetSymbol(str);
      underover = (sym1.ttype == UNDEROVER);
      if (sym2.input == "^") {
        str = AMremoveCharsAndBlanks(str,sym2.input.length);
        var res2 = AMparseSexpr(str);
        AMremoveBrackets(res2[0]);
        str = res2[1];
        node = AMcreateMmlNode((underover?"munderover":"msubsup"),node);
        node.appendChild(result[0]);
        node.appendChild(res2[0]);
        node = AMcreateMmlNode("mrow",node); // so sum does not stretch
      } else {
        node = AMcreateMmlNode((underover?"munder":"msub"),node);
        node.appendChild(result[0]);
      }
    } else {
      node = AMcreateMmlNode(symbol.tag,node);
      node.appendChild(result[0]);
    }
  }
  return [node,str];
}

function AMparseExpr(str,rightbracket) {
  var symbol, node, result, i, nodeList = [],
  newFrag = document.createDocumentFragment();
  do {
    str = AMremoveCharsAndBlanks(str,0);
    result = AMparseIexpr(str);
    node = result[0];
    str = result[1];
    symbol = AMgetSymbol(str);
    if (symbol.ttype == INFIX && symbol.input == "/") {
      str = AMremoveCharsAndBlanks(str,symbol.input.length);
      result = AMparseIexpr(str);
      if (result[0] == null) // show box in place of missing argument
        result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
      else AMremoveBrackets(result[0]);
      str = result[1];
      AMremoveBrackets(node);
      node = AMcreateMmlNode(symbol.tag,node);
      node.appendChild(result[0]);
      newFrag.appendChild(node);
      symbol = AMgetSymbol(str);
    } 
    else if (node!=undefined) newFrag.appendChild(node);
  } while ((symbol.ttype != RIGHTBRACKET && 
           (symbol.ttype != LEFTRIGHT || rightbracket)
           || AMnestingDepth == 0) && symbol!=null && symbol.output!="");
  if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {
//    if (AMnestingDepth > 0) AMnestingDepth--;
    var len = newFrag.childNodes.length;
    if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&
      newFrag.childNodes[len-2].nodeName == "mo" &&
      newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix
      var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;
      if (right==")" || right=="]") {
        var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;
        if (left=="(" && right==")" && symbol.output != "}" || 
            left=="[" && right=="]") {
        var pos = []; // positions of commas
        var matrix = true;
        var m = newFrag.childNodes.length;
        for (i=0; matrix && i<m; i=i+2) {
          pos[i] = [];
          node = newFrag.childNodes[i];
          if (matrix) matrix = node.nodeName=="mrow" && 
            (i==m-1 || node.nextSibling.nodeName=="mo" && 
            node.nextSibling.firstChild.nodeValue==",")&&
            node.firstChild.firstChild.nodeValue==left &&
            node.lastChild.firstChild.nodeValue==right;
          if (matrix) 
            for (var j=0; j<node.childNodes.length; j++)
              if (node.childNodes[j].firstChild.nodeValue==",")
                pos[i][pos[i].length]=j;
          if (matrix && i>1) matrix = pos[i].length == pos[i-2].length;
        }
        if (matrix) {
          var row, frag, n, k, table = document.createDocumentFragment();
          for (i=0; i<m; i=i+2) {
            row = document.createDocumentFragment();
            frag = document.createDocumentFragment();
            node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow>
            n = node.childNodes.length;
            k = 0;
            node.removeChild(node.firstChild); //remove (
            for (j=1; j<n-1; j++) {
              if (typeof pos[i][k] != "undefined" && j==pos[i][k]){
                node.removeChild(node.firstChild); //remove ,
                row.appendChild(AMcreateMmlNode("mtd",frag));
                k++;
              } else frag.appendChild(node.firstChild);
            }
            row.appendChild(AMcreateMmlNode("mtd",frag));
            if (newFrag.childNodes.length>2) {
              newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow>
              newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo>
            }
            table.appendChild(AMcreateMmlNode("mtr",row));
          }
          node = AMcreateMmlNode("mtable",table);
          if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");
          newFrag.replaceChild(node,newFrag.firstChild);
        }
       }
      }
    }
    str = AMremoveCharsAndBlanks(str,symbol.input.length);
    if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
      node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
      newFrag.appendChild(node);
    }
  }
  return [newFrag,str];
}

function AMparseMath(str) {
  var result, node = AMcreateElementMathML("mstyle");
  if (mathcolor != "") node.setAttribute("mathcolor",mathcolor);
  if (displaystyle) node.setAttribute("displaystyle","true");
  if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily);
  AMnestingDepth = 0;
  node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false)[0]);
  node = AMcreateMmlNode("math",node);
  if (showasciiformulaonhover)                      //fixed by djhsu so newline
    node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
  var fnode = AMcreateElementXHTML("span");
  fnode.style.fontSize = mathfontsize;
  if (mathfontfamily != "") fnode.style.fontFamily = mathfontfamily;
  fnode.appendChild(node);
  return fnode;
}

function AMstrarr2docFrag(arr, linebreaks) {
  var newFrag=document.createDocumentFragment();
  var expr = false;
  for (var i=0; i<arr.length; i++) {
    if (expr) newFrag.appendChild(AMparseMath(arr[i]));
    else {
      var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
      newFrag.appendChild(AMcreateElementXHTML("span").
      appendChild(document.createTextNode(arri[0])));
      for (var j=1; j<arri.length; j++) {
        newFrag.appendChild(AMcreateElementXHTML("p"));
        newFrag.appendChild(AMcreateElementXHTML("span").
        appendChild(document.createTextNode(arri[j])));
      }
    }
    expr = !expr;
  }
  return newFrag;
}

function AMautomathrec(str) {
//formula is a space (or start of str) followed by a maximal sequence of *two* or more tokens, possibly separated by runs of digits and/or space.
//tokens are single letters (except a, A, I) and ASCIIMathML tokens
  var texcommand = "\\\\[a-zA-Z]+|\\\\\\s|";
  var ambigAMtoken = "\\b(?:oo|lim|ln|int|oint|del|grad|aleph|prod|prop|sinh|cosh|tanh|cos|sec|pi|tt|fr|sf|sube|supe|sub|sup|det|mod|gcd|lcm|min|max|vec|ddot|ul|chi|eta|nu|mu)(?![a-z])|";
  var englishAMtoken = "\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|";
  var secondenglishAMtoken = "|\\bI\\b|\\bin\\b|\\btext\\b"; // took if and or not out
  var simpleAMtoken = "NN|ZZ|QQ|RR|CC|TT|AA|EE|sqrt|dx|dy|dz|dt|xx|vv|uu|nn|bb|cc|csc|cot|alpha|beta|delta|Delta|epsilon|gamma|Gamma|kappa|lambda|Lambda|omega|phi|Phi|Pi|psi|Psi|rho|sigma|Sigma|tau|theta|Theta|xi|Xi|zeta"; // uuu nnn?
  var letter = "[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|";
  var token = letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;
  var re = new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");
  str = str.replace(re," `$2`$7");
  var arr = str.split(AMdelimiter1);
  var re1 = new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");
  var re2 = new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g"); // removed |\d+ for now
  for (i=0; i<arr.length; i++)   //single nonenglish tokens
    if (i%2==0) {
      arr[i] = arr[i].replace(re1," `$2`$3");
      arr[i] = arr[i].replace(re2," `$2`$3");
      arr[i] = arr[i].replace(/([{}[\]])/,"`$1`");
    }
  str = arr.join(AMdelimiter1);
  str = str.replace(/(\([a-zA-Z]{2,}.*?)\)`/g,"$1`)");  //fix parentheses
  str = str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3");  //fix parentheses
  str = str.replace(/\sin`/g,"` in");
  str = str.replace(/`(\(\w\)[,.]?(\s|\n|$))/g,"$1`");
  str = str.replace(/`([0-9.]+|e.g)`(\\.)/gi,"$1$2");
  str = str.replace(/`([0-9.]:)`/g,"$1");
  return str;
}

function AMprocessNodeR(n, linebreaks) {
  var mtch, str, arr, frg, i;
  if (n.childNodes.length == 0) {
   if ((n.nodeType!=8 || linebreaks) &&
    n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
    n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
    n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
    str = n.nodeValue;
    if (!(str == null)) {
      str = str.replace(/\r\n\r\n/g,"\n\n");
      str = str.replace(/\x20+/g," ");
      str = str.replace(/\s*\r\n/g," ");
      mtch = false;
      str = str.replace(new RegExp(AMescape1, "g"),
              function(){mtch = true; return "AMescape1"});
      str = str.replace(/\\?end{?a?math}?/i,
              function(){automathrecognize = false; mtch = true; return ""});
      str = str.replace(/amath|\\begin{a?math}/i,
              function(){automathrecognize = true; mtch = true; return ""});
      arr = str.split(AMdelimiter1);
      if (automathrecognize)
        for (i=0; i<arr.length; i++)
          if (i%2==0) arr[i] = AMautomathrec(arr[i]);
      str = arr.join(AMdelimiter1);
      arr = str.split(AMdelimiter1);
      for (i=0; i<arr.length; i++) // this is a problem ************
        arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);
      if (arr.length>1 || mtch) {
        if (checkForMathML) {
          checkForMathML = false;
          var nd = AMisMathMLavailable();
          AMnoMathML = nd != null;
          if (AMnoMathML && notifyIfNoMathML) 
            if (alertIfNoMathML)
              alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\
                or Firefox/Mozilla/Netscape");
            else AMbody.insertBefore(nd,AMbody.childNodes[0]);
        }
        if (!AMnoMathML) {
          frg = AMstrarr2docFrag(arr,n.nodeType==8);
          var len = frg.childNodes.length;
          n.parentNode.replaceChild(frg,n);
          return len-1;
        } else return 0;
      }
    }
   } else return 0;
  } else if (n.nodeName!="math") {
    for (i=0; i<n.childNodes.length; i++)
      i += AMprocessNodeR(n.childNodes[i], linebreaks);
  }
  return 0;
}

function AMprocessNode(n, linebreaks, spanclassAM) {
  var frag,st;
  if (spanclassAM!=null) {
    frag = document.getElementsByTagName("span")
    for (var i=0;i<frag.length;i++)
      if (frag[i].className == "AM")
        AMprocessNodeR(frag[i],linebreaks);
  } else {
    try {
      st = n.innerHTML; // look for AMdelimiter on page
    } catch(err) {}
    if (st==null || /amath|\\begin{a?math}/i.test(st) ||
      st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 ||
      st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) {
      AMprocessNodeR(n,linebreaks);
    }
  }
  if (isIE) { //needed to match size and font of formula to surrounding text
    frag = document.getElementsByTagName('math');
    for (var i=0;i<frag.length;i++) frag[i].update()
  }
}

var AMbody;
var AMnoMathML = false, AMtranslated = false;

function translate(spanclassAM) {
  if (!AMtranslated) { // run this only once
    AMtranslated = true;
    AMbody = document.getElementsByTagName("body")[0];
    var processN = document.getElementById(AMdocumentId);
//    var processN = getElementsByClass(AMbody,"div",AMdocumentClass);
    AMprocessNode((processN!=null?processN:AMbody), false, spanclassAM);
  }
}

AMinitSymbols();

/*
LaTeXMathML.js
==============

Version 1.1, July 20, 2007 (c) modifications by Peter Jipsen

(changes: renamed global variables from AM... to LM... so that
LaTeXMathML and ASCIIMathML can be used simultaneously)

Previous header notice:
This file (Version 1.0), is due to Douglas Woodall, June 2006.
It contains JavaScript functions to convert (most simple) LaTeX
math notation to Presentation MathML.  It was obtained by
downloading the file ASCIIMathML.js from
	http://www1.chapman.edu/~jipsen/mathml/asciimathdownload/
and modifying it so that it carries out ONLY those conversions
that would be carried out in LaTeX.  A description of the original
file, with examples, can be found at
	www1.chapman.edu/~jipsen/mathml/asciimath.html
	ASCIIMathML: Math on the web for everyone

Here is the header notice from the original file:

ASCIIMathML.js
==============
This file contains JavaScript functions to convert ASCII math notation
to Presentation MathML. The conversion is done while the (X)HTML page
loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet
Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/).
Just add the next line to your (X)HTML page with this file in the same folder:
<script type="text/javascript" src="ASCIIMathML.js"></script>
This is a convenient and inexpensive solution for authoring MathML.

Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen
Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js
For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt
If you use it on a webpage, please send the URL to jipsen@chapman.edu

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at
your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser
General Public License (at http://www.gnu.org/license/lgpl.html)
for more details.

LaTeXMathML.js (ctd)
==============

Content between $...$ and $$...$$ is converted by this part of the file
*/

var LMcheckForMathML = true;   // check if browser can display MathML
var LMnotifyIfNoMathML = true; // display note if no MathML capability
var LMalertIfNoMathML = false;  // show alert box if no MathML capability
var LMmathcolor = "";	     // "" (to inherit) or change to another color
var LMmathfontfamily = "serif"; // change to "" to inherit (works in IE)
                                // or another family (e.g. "arial")
var LMshowasciiformulaonhover = true; // helps students learn LaTeX

// all further global variables start with "LM"

function LMcreateElementXHTML(t) {
  if (isIE) return document.createElement(t);
  else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
}

function LMnoMathMLNote() {
  var nd = LMcreateElementXHTML("h3");
  nd.setAttribute("align","center")
  nd.appendChild(LMcreateElementXHTML("p"));
  nd.appendChild(document.createTextNode("To view the "));
  var an = LMcreateElementXHTML("a");
  an.appendChild(document.createTextNode("LaTeXMathML"));
  an.setAttribute("href","http://www.maths.nott.ac.uk/personal/drw/lm.html");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+")); 
  an = LMcreateElementXHTML("a");
  an.appendChild(document.createTextNode("MathPlayer"));
  an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));
  nd.appendChild(LMcreateElementXHTML("p"));
  return nd;
}

function LMisMathMLavailable() {
  if (navigator.appName.slice(0,8)=="Netscape")
    if (navigator.appVersion.slice(0,1)>="5") return null;
    else return LMnoMathMLNote();
  else if (navigator.appName.slice(0,9)=="Microsoft")
    try {
        var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
        return null;
    } catch (e) {
        return LMnoMathMLNote();
    }
  else return LMnoMathMLNote();
}

// character lists for Mozilla/Netscape fonts
var LMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];
var LMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];
var LMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];

//var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,
//    RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8, TEXT = 10, 
var BIG = 11, LONG = 12, STRETCHY = 13, MATRIX = 14; // token types

var LMsqrt = {input:"\\sqrt",	tag:"msqrt", output:"sqrt",	ttype:UNARY},
  LMroot = {input:"\\root",	tag:"mroot", output:"root",	ttype:BINARY},
  LMfrac = {input:"\\frac",	tag:"mfrac", output:"/",	ttype:BINARY},
  LMover = {input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY},
  LMatop = {input:"\\atop",	tag:"mfrac", output:"",		ttype:INFIX},
  LMchoose = {input:"\\choose", tag:"mfrac", output:"",		ttype:INFIX},
  LMsub  = {input:"_",		tag:"msub",  output:"_",	ttype:INFIX},
  LMsup  = {input:"^",		tag:"msup",  output:"^",	ttype:INFIX},
  LMtext = {input:"\\mathrm",	tag:"mtext", output:"text",	ttype:TEXT},
  LMmbox = {input:"\\mbox",	tag:"mtext", output:"mbox",	ttype:TEXT};

// Commented out by DRW to prevent 1/2 turning into a 2-line fraction
// LMdiv   = {input:"/",	 tag:"mfrac", output:"/",    ttype:INFIX},
// Commented out by DRW so that " prints literally in equations
// LMquote = {input:"\"",	 tag:"mtext", output:"mbox", ttype:TEXT};

var LMsymbols = [
//Greek letters
{input:"\\alpha",	tag:"mi", output:"\u03B1", ttype:CONST},
{input:"\\beta",	tag:"mi", output:"\u03B2", ttype:CONST},
{input:"\\gamma",	tag:"mi", output:"\u03B3", ttype:CONST},
{input:"\\delta",	tag:"mi", output:"\u03B4", ttype:CONST},
{input:"\\epsilon",	tag:"mi", output:"\u03B5", ttype:CONST},
{input:"\\varepsilon",  tag:"mi", output:"\u025B", ttype:CONST},
{input:"\\zeta",	tag:"mi", output:"\u03B6", ttype:CONST},
{input:"\\eta",		tag:"mi", output:"\u03B7", ttype:CONST},
{input:"\\theta",	tag:"mi", output:"\u03B8", ttype:CONST},
{input:"\\vartheta",	tag:"mi", output:"\u03D1", ttype:CONST},
{input:"\\iota",	tag:"mi", output:"\u03B9", ttype:CONST},
{input:"\\kappa",	tag:"mi", output:"\u03BA", ttype:CONST},
{input:"\\lambda",	tag:"mi", output:"\u03BB", ttype:CONST},
{input:"\\mu",		tag:"mi", output:"\u03BC", ttype:CONST},
{input:"\\nu",		tag:"mi", output:"\u03BD", ttype:CONST},
{input:"\\xi",		tag:"mi", output:"\u03BE", ttype:CONST},
{input:"\\pi",		tag:"mi", output:"\u03C0", ttype:CONST},
{input:"\\varpi",	tag:"mi", output:"\u03D6", ttype:CONST},
{input:"\\rho",		tag:"mi", output:"\u03C1", ttype:CONST},
{input:"\\varrho",	tag:"mi", output:"\u03F1", ttype:CONST},
{input:"\\varsigma",	tag:"mi", output:"\u03C2", ttype:CONST},
{input:"\\sigma",	tag:"mi", output:"\u03C3", ttype:CONST},
{input:"\\tau",		tag:"mi", output:"\u03C4", ttype:CONST},
{input:"\\upsilon",	tag:"mi", output:"\u03C5", ttype:CONST},
{input:"\\phi",		tag:"mi", output:"\u03C6", ttype:CONST},
{input:"\\varphi",	tag:"mi", output:"\u03D5", ttype:CONST},
{input:"\\chi",		tag:"mi", output:"\u03C7", ttype:CONST},
{input:"\\psi",		tag:"mi", output:"\u03C8", ttype:CONST},
{input:"\\omega",	tag:"mi", output:"\u03C9", ttype:CONST},
{input:"\\Gamma",	tag:"mo", output:"\u0393", ttype:CONST},
{input:"\\Delta",	tag:"mo", output:"\u0394", ttype:CONST},
{input:"\\Theta",	tag:"mo", output:"\u0398", ttype:CONST},
{input:"\\Lambda",	tag:"mo", output:"\u039B", ttype:CONST},
{input:"\\Xi",		tag:"mo", output:"\u039E", ttype:CONST},
{input:"\\Pi",		tag:"mo", output:"\u03A0", ttype:CONST},
{input:"\\Sigma",	tag:"mo", output:"\u03A3", ttype:CONST},
{input:"\\Upsilon",	tag:"mo", output:"\u03A5", ttype:CONST},
{input:"\\Phi",		tag:"mo", output:"\u03A6", ttype:CONST},
{input:"\\Psi",		tag:"mo", output:"\u03A8", ttype:CONST},
{input:"\\Omega",	tag:"mo", output:"\u03A9", ttype:CONST},

//fractions
{input:"\\frac12",	tag:"mo", output:"\u00BD", ttype:CONST},
{input:"\\frac14",	tag:"mo", output:"\u00BC", ttype:CONST},
{input:"\\frac34",	tag:"mo", output:"\u00BE", ttype:CONST},
{input:"\\frac13",	tag:"mo", output:"\u2153", ttype:CONST},
{input:"\\frac23",	tag:"mo", output:"\u2154", ttype:CONST},
{input:"\\frac15",	tag:"mo", output:"\u2155", ttype:CONST},
{input:"\\frac25",	tag:"mo", output:"\u2156", ttype:CONST},
{input:"\\frac35",	tag:"mo", output:"\u2157", ttype:CONST},
{input:"\\frac45",	tag:"mo", output:"\u2158", ttype:CONST},
{input:"\\frac16",	tag:"mo", output:"\u2159", ttype:CONST},
{input:"\\frac56",	tag:"mo", output:"\u215A", ttype:CONST},
{input:"\\frac18",	tag:"mo", output:"\u215B", ttype:CONST},
{input:"\\frac38",	tag:"mo", output:"\u215C", ttype:CONST},
{input:"\\frac58",	tag:"mo", output:"\u215D", ttype:CONST},
{input:"\\frac78",	tag:"mo", output:"\u215E", ttype:CONST},

//binary operation symbols
{input:"\\pm",		tag:"mo", output:"\u00B1", ttype:CONST},
{input:"\\mp",		tag:"mo", output:"\u2213", ttype:CONST},
{input:"\\triangleleft",tag:"mo", output:"\u22B2", ttype:CONST},
{input:"\\triangleright",tag:"mo",output:"\u22B3", ttype:CONST},
{input:"\\cdot",	tag:"mo", output:"\u22C5", ttype:CONST},
{input:"\\star",	tag:"mo", output:"\u22C6", ttype:CONST},
{input:"\\ast",		tag:"mo", output:"\u002A", ttype:CONST},
{input:"\\times",	tag:"mo", output:"\u00D7", ttype:CONST},
{input:"\\div",		tag:"mo", output:"\u00F7", ttype:CONST},
{input:"\\circ",	tag:"mo", output:"\u2218", ttype:CONST},
//{input:"\\bullet",	  tag:"mo", output:"\u2219", ttype:CONST},
{input:"\\bullet",	tag:"mo", output:"\u2022", ttype:CONST},
{input:"\\oplus",	tag:"mo", output:"\u2295", ttype:CONST},
{input:"\\ominus",	tag:"mo", output:"\u2296", ttype:CONST},
{input:"\\otimes",	tag:"mo", output:"\u2297", ttype:CONST},
{input:"\\bigcirc",	tag:"mo", output:"\u25CB", ttype:CONST},
{input:"\\oslash",	tag:"mo", output:"\u2298", ttype:CONST},
{input:"\\odot",	tag:"mo", output:"\u2299", ttype:CONST},
{input:"\\land",	tag:"mo", output:"\u2227", ttype:CONST},
{input:"\\wedge",	tag:"mo", output:"\u2227", ttype:CONST},
{input:"\\lor",		tag:"mo", output:"\u2228", ttype:CONST},
{input:"\\vee",		tag:"mo", output:"\u2228", ttype:CONST},
{input:"\\cap",		tag:"mo", output:"\u2229", ttype:CONST},
{input:"\\cup",		tag:"mo", output:"\u222A", ttype:CONST},
{input:"\\sqcap",	tag:"mo", output:"\u2293", ttype:CONST},
{input:"\\sqcup",	tag:"mo", output:"\u2294", ttype:CONST},
{input:"\\uplus",	tag:"mo", output:"\u228E", ttype:CONST},
{input:"\\amalg",	tag:"mo", output:"\u2210", ttype:CONST},
{input:"\\bigtriangleup",tag:"mo",output:"\u25B3", ttype:CONST},
{input:"\\bigtriangledown",tag:"mo",output:"\u25BD", ttype:CONST},
{input:"\\dag",		tag:"mo", output:"\u2020", ttype:CONST},
{input:"\\dagger",	tag:"mo", output:"\u2020", ttype:CONST},
{input:"\\ddag",	tag:"mo", output:"\u2021", ttype:CONST},
{input:"\\ddagger",	tag:"mo", output:"\u2021", ttype:CONST},
{input:"\\lhd",		tag:"mo", output:"\u22B2", ttype:CONST},
{input:"\\rhd",		tag:"mo", output:"\u22B3", ttype:CONST},
{input:"\\unlhd",	tag:"mo", output:"\u22B4", ttype:CONST},
{input:"\\unrhd",	tag:"mo", output:"\u22B5", ttype:CONST},


//BIG Operators
{input:"\\sum",		tag:"mo", output:"\u2211", ttype:UNDEROVER},
{input:"\\prod",	tag:"mo", output:"\u220F", ttype:UNDEROVER},
{input:"\\bigcap",	tag:"mo", output:"\u22C2", ttype:UNDEROVER},
{input:"\\bigcup",	tag:"mo", output:"\u22C3", ttype:UNDEROVER},
{input:"\\bigwedge",	tag:"mo", output:"\u22C0", ttype:UNDEROVER},
{input:"\\bigvee",	tag:"mo", output:"\u22C1", ttype:UNDEROVER},
{input:"\\bigsqcap",	tag:"mo", output:"\u2A05", ttype:UNDEROVER},
{input:"\\bigsqcup",	tag:"mo", output:"\u2A06", ttype:UNDEROVER},
{input:"\\coprod",	tag:"mo", output:"\u2210", ttype:UNDEROVER},
{input:"\\bigoplus",	tag:"mo", output:"\u2A01", ttype:UNDEROVER},
{input:"\\bigotimes",	tag:"mo", output:"\u2A02", ttype:UNDEROVER},
{input:"\\bigodot",	tag:"mo", output:"\u2A00", ttype:UNDEROVER},
{input:"\\biguplus",	tag:"mo", output:"\u2A04", ttype:UNDEROVER},
{input:"\\int",		tag:"mo", output:"\u222B", ttype:CONST},
{input:"\\oint",	tag:"mo", output:"\u222E", ttype:CONST},

//binary relation symbols
{input:":=",		tag:"mo", output:":=",	   ttype:CONST},
{input:"\\lt",		tag:"mo", output:"<",	   ttype:CONST},
{input:"\\gt",		tag:"mo", output:">",	   ttype:CONST},
{input:"\\ne",		tag:"mo", output:"\u2260", ttype:CONST},
{input:"\\neq",		tag:"mo", output:"\u2260", ttype:CONST},
{input:"\\le",		tag:"mo", output:"\u2264", ttype:CONST},
{input:"\\leq",		tag:"mo", output:"\u2264", ttype:CONST},
{input:"\\leqslant",	tag:"mo", output:"\u2264", ttype:CONST},
{input:"\\ge",		tag:"mo", output:"\u2265", ttype:CONST},
{input:"\\geq",		tag:"mo", output:"\u2265", ttype:CONST},
{input:"\\geqslant",	tag:"mo", output:"\u2265", ttype:CONST},
{input:"\\equiv",	tag:"mo", output:"\u2261", ttype:CONST},
{input:"\\ll",		tag:"mo", output:"\u226A", ttype:CONST},
{input:"\\gg",		tag:"mo", output:"\u226B", ttype:CONST},
{input:"\\doteq",	tag:"mo", output:"\u2250", ttype:CONST},
{input:"\\prec",	tag:"mo", output:"\u227A", ttype:CONST},
{input:"\\succ",	tag:"mo", output:"\u227B", ttype:CONST},
{input:"\\preceq",	tag:"mo", output:"\u227C", ttype:CONST},
{input:"\\succeq",	tag:"mo", output:"\u227D", ttype:CONST},
{input:"\\subset",	tag:"mo", output:"\u2282", ttype:CONST},
{input:"\\supset",	tag:"mo", output:"\u2283", ttype:CONST},
{input:"\\subseteq",	tag:"mo", output:"\u2286", ttype:CONST},
{input:"\\supseteq",	tag:"mo", output:"\u2287", ttype:CONST},
{input:"\\sqsubset",	tag:"mo", output:"\u228F", ttype:CONST},
{input:"\\sqsupset",	tag:"mo", output:"\u2290", ttype:CONST},
{input:"\\sqsubseteq",  tag:"mo", output:"\u2291", ttype:CONST},
{input:"\\sqsupseteq",  tag:"mo", output:"\u2292", ttype:CONST},
{input:"\\sim",		tag:"mo", output:"\u223C", ttype:CONST},
{input:"\\simeq",	tag:"mo", output:"\u2243", ttype:CONST},
{input:"\\approx",	tag:"mo", output:"\u2248", ttype:CONST},
{input:"\\cong",	tag:"mo", output:"\u2245", ttype:CONST},
{input:"\\Join",	tag:"mo", output:"\u22C8", ttype:CONST},
{input:"\\bowtie",	tag:"mo", output:"\u22C8", ttype:CONST},
{input:"\\in",		tag:"mo", output:"\u2208", ttype:CONST},
{input:"\\ni",		tag:"mo", output:"\u220B", ttype:CONST},
{input:"\\owns",	tag:"mo", output:"\u220B", ttype:CONST},
{input:"\\propto",	tag:"mo", output:"\u221D", ttype:CONST},
{input:"\\vdash",	tag:"mo", output:"\u22A2", ttype:CONST},
{input:"\\dashv",	tag:"mo", output:"\u22A3", ttype:CONST},
{input:"\\models",	tag:"mo", output:"\u22A8", ttype:CONST},
{input:"\\perp",	tag:"mo", output:"\u22A5", ttype:CONST},
{input:"\\smile",	tag:"mo", output:"\u2323", ttype:CONST},
{input:"\\frown",	tag:"mo", output:"\u2322", ttype:CONST},
{input:"\\asymp",	tag:"mo", output:"\u224D", ttype:CONST},
{input:"\\notin",	tag:"mo", output:"\u2209", ttype:CONST},

//matrices
{input:"\\begin{eqnarray}",	output:"X",	ttype:MATRIX, invisible:true},
{input:"\\begin{array}",	output:"X",	ttype:MATRIX, invisible:true},
{input:"\\\\",			output:"}&{",	ttype:DEFINITION},
{input:"\\end{eqnarray}",	output:"}}",	ttype:DEFINITION},
{input:"\\end{array}",		output:"}}",	ttype:DEFINITION},

//grouping and literal brackets -- ieval is for IE
{input:"\\big",	   tag:"mo", output:"X", atval:"1.2", ieval:"2.2", ttype:BIG},
{input:"\\Big",	   tag:"mo", output:"X", atval:"1.6", ieval:"2.6", ttype:BIG},
{input:"\\bigg",   tag:"mo", output:"X", atval:"2.2", ieval:"3.2", ttype:BIG},
{input:"\\Bigg",   tag:"mo", output:"X", atval:"2.9", ieval:"3.9", ttype:BIG},
{input:"\\left",   tag:"mo", output:"X", ttype:LEFTBRACKET},
{input:"\\right",  tag:"mo", output:"X", ttype:RIGHTBRACKET},
{input:"{",	   output:"{", ttype:LEFTBRACKET,  invisible:true},
{input:"}",	   output:"}", ttype:RIGHTBRACKET, invisible:true},

{input:"(",	   tag:"mo", output:"(",      atval:"1", ttype:STRETCHY},
{input:"[",	   tag:"mo", output:"[",      atval:"1", ttype:STRETCHY},
{input:"\\lbrack", tag:"mo", output:"[",      atval:"1", ttype:STRETCHY},
{input:"\\{",	   tag:"mo", output:"{",      atval:"1", ttype:STRETCHY},
{input:"\\lbrace", tag:"mo", output:"{",      atval:"1", ttype:STRETCHY},
{input:"\\langle", tag:"mo", output:"\u2329", atval:"1", ttype:STRETCHY},
{input:"\\lfloor", tag:"mo", output:"\u230A", atval:"1", ttype:STRETCHY},
{input:"\\lceil",  tag:"mo", output:"\u2308", atval:"1", ttype:STRETCHY},

// rtag:"mi" causes space to be inserted before a following sin, cos, etc.
// (see function LMparseExpr() )
{input:")",	  tag:"mo",output:")",	    rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"]",	  tag:"mo",output:"]",	    rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\rbrack",tag:"mo",output:"]",	    rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\}",	  tag:"mo",output:"}",	    rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\rbrace",tag:"mo",output:"}",	    rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\rangle",tag:"mo",output:"\u232A", rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\rfloor",tag:"mo",output:"\u230B", rtag:"mi",atval:"1",ttype:STRETCHY},
{input:"\\rceil", tag:"mo",output:"\u2309", rtag:"mi",atval:"1",ttype:STRETCHY},

// "|", "\\|", "\\vert" and "\\Vert" modified later: lspace = rspace = 0em
{input:"|",		tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
{input:"\\|",		tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
{input:"\\vert",	tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
{input:"\\Vert",	tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
{input:"\\mid",		tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},
{input:"\\parallel",	tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},
{input:"/",		tag:"mo", output:"/",	atval:"1.01", ttype:STRETCHY},
{input:"\\backslash",	tag:"mo", output:"\u2216", atval:"1", ttype:STRETCHY},
{input:"\\setminus",	tag:"mo", output:"\\",	   ttype:CONST},

//miscellaneous symbols
{input:"\\!",	  tag:"mspace", atname:"width", atval:"-0.167em", ttype:SPACE},
{input:"\\,",	  tag:"mspace", atname:"width", atval:"0.167em", ttype:SPACE},
{input:"\\>",	  tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},
{input:"\\:",	  tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},
{input:"\\;",	  tag:"mspace", atname:"width", atval:"0.278em", ttype:SPACE},
{input:"~",	  tag:"mspace", atname:"width", atval:"0.333em", ttype:SPACE},
{input:"\\quad",  tag:"mspace", atname:"width", atval:"1em", ttype:SPACE},
{input:"\\qquad", tag:"mspace", atname:"width", atval:"2em", ttype:SPACE},
//{input:"{}",		  tag:"mo", output:"\u200B", ttype:CONST}, // zero-width
{input:"\\prime",	tag:"mo", output:"\u2032", ttype:CONST},
{input:"'",		tag:"mo", output:"\u02B9", ttype:CONST},
{input:"''",		tag:"mo", output:"\u02BA", ttype:CONST},
{input:"'''",		tag:"mo", output:"\u2034", ttype:CONST},
{input:"''''",		tag:"mo", output:"\u2057", ttype:CONST},
{input:"\\ldots",	tag:"mo", output:"\u2026", ttype:CONST},
{input:"\\cdots",	tag:"mo", output:"\u22EF", ttype:CONST},
{input:"\\vdots",	tag:"mo", output:"\u22EE", ttype:CONST},
{input:"\\ddots",	tag:"mo", output:"\u22F1", ttype:CONST},
{input:"\\forall",	tag:"mo", output:"\u2200", ttype:CONST},
{input:"\\exists",	tag:"mo", output:"\u2203", ttype:CONST},
{input:"\\Re",		tag:"mo", output:"\u211C", ttype:CONST},
{input:"\\Im",		tag:"mo", output:"\u2111", ttype:CONST},
{input:"\\aleph",	tag:"mo", output:"\u2135", ttype:CONST},
{input:"\\hbar",	tag:"mo", output:"\u210F", ttype:CONST},
{input:"\\ell",		tag:"mo", output:"\u2113", ttype:CONST},
{input:"\\wp",		tag:"mo", output:"\u2118", ttype:CONST},
{input:"\\emptyset",	tag:"mo", output:"\u2205", ttype:CONST},
{input:"\\infty",	tag:"mo", output:"\u221E", ttype:CONST},
{input:"\\surd",	tag:"mo", output:"\\sqrt{}", ttype:DEFINITION},
{input:"\\partial",	tag:"mo", output:"\u2202", ttype:CONST},
{input:"\\nabla",	tag:"mo", output:"\u2207", ttype:CONST},
{input:"\\triangle",	tag:"mo", output:"\u25B3", ttype:CONST},
{input:"\\therefore",	tag:"mo", output:"\u2234", ttype:CONST},
{input:"\\angle",	tag:"mo", output:"\u2220", ttype:CONST},
//{input:"\\\\ ",	  tag:"mo", output:"\u00A0", ttype:CONST},
{input:"\\diamond",	tag:"mo", output:"\u22C4", ttype:CONST},
//{input:"\\Diamond",	  tag:"mo", output:"\u25CA", ttype:CONST},
{input:"\\Diamond",	tag:"mo", output:"\u25C7", ttype:CONST},
{input:"\\neg",		tag:"mo", output:"\u00AC", ttype:CONST},
{input:"\\lnot",	tag:"mo", output:"\u00AC", ttype:CONST},
{input:"\\bot",		tag:"mo", output:"\u22A5", ttype:CONST},
{input:"\\top",		tag:"mo", output:"\u22A4", ttype:CONST},
{input:"\\square",	tag:"mo", output:"\u25AB", ttype:CONST},
{input:"\\Box",		tag:"mo", output:"\u25A1", ttype:CONST},
{input:"\\wr",		tag:"mo", output:"\u2240", ttype:CONST},

//standard functions
//Note UNDEROVER *must* have tag:"mo" to work properly
{input:"\\arccos", tag:"mi", output:"arccos", ttype:UNARY, func:true},
{input:"\\arcsin", tag:"mi", output:"arcsin", ttype:UNARY, func:true},
{input:"\\arctan", tag:"mi", output:"arctan", ttype:UNARY, func:true},
{input:"\\arg",	   tag:"mi", output:"arg",    ttype:UNARY, func:true},
{input:"\\cos",	   tag:"mi", output:"cos",    ttype:UNARY, func:true},
{input:"\\cosh",   tag:"mi", output:"cosh",   ttype:UNARY, func:true},
{input:"\\cot",	   tag:"mi", output:"cot",    ttype:UNARY, func:true},
{input:"\\coth",   tag:"mi", output:"coth",   ttype:UNARY, func:true},
{input:"\\csc",	   tag:"mi", output:"csc",    ttype:UNARY, func:true},
{input:"\\deg",	   tag:"mi", output:"deg",    ttype:UNARY, func:true},
{input:"\\det",	   tag:"mi", output:"det",    ttype:UNARY, func:true},
{input:"\\dim",	   tag:"mi", output:"dim",    ttype:UNARY, func:true}, //CONST?
{input:"\\exp",	   tag:"mi", output:"exp",    ttype:UNARY, func:true},
{input:"\\gcd",	   tag:"mi", output:"gcd",    ttype:UNARY, func:true}, //CONST?
{input:"\\hom",	   tag:"mi", output:"hom",    ttype:UNARY, func:true},
{input:"\\inf",	      tag:"mo", output:"inf",	 ttype:UNDEROVER},
{input:"\\ker",	   tag:"mi", output:"ker",    ttype:UNARY, func:true},
{input:"\\lg",	   tag:"mi", output:"lg",     ttype:UNARY, func:true},
{input:"\\lim",	      tag:"mo", output:"lim",	 ttype:UNDEROVER},
{input:"\\liminf",    tag:"mo", output:"liminf", ttype:UNDEROVER},
{input:"\\limsup",    tag:"mo", output:"limsup", ttype:UNDEROVER},
{input:"\\ln",	   tag:"mi", output:"ln",     ttype:UNARY, func:true},
{input:"\\log",	   tag:"mi", output:"log",    ttype:UNARY, func:true},
{input:"\\max",	      tag:"mo", output:"max",	 ttype:UNDEROVER},
{input:"\\min",	      tag:"mo", output:"min",	 ttype:UNDEROVER},
{input:"\\Pr",	   tag:"mi", output:"Pr",     ttype:UNARY, func:true},
{input:"\\sec",	   tag:"mi", output:"sec",    ttype:UNARY, func:true},
{input:"\\sin",	   tag:"mi", output:"sin",    ttype:UNARY, func:true},
{input:"\\sinh",   tag:"mi", output:"sinh",   ttype:UNARY, func:true},
{input:"\\sup",	      tag:"mo", output:"sup",	 ttype:UNDEROVER},
{input:"\\tan",	   tag:"mi", output:"tan",    ttype:UNARY, func:true},
{input:"\\tanh",   tag:"mi", output:"tanh",   ttype:UNARY, func:true},

//arrows
{input:"\\gets",		tag:"mo", output:"\u2190", ttype:CONST},
{input:"\\leftarrow",		tag:"mo", output:"\u2190", ttype:CONST},
{input:"\\to",			tag:"mo", output:"\u2192", ttype:CONST},
{input:"\\rightarrow",		tag:"mo", output:"\u2192", ttype:CONST},
{input:"\\leftrightarrow",	tag:"mo", output:"\u2194", ttype:CONST},
{input:"\\uparrow",		tag:"mo", output:"\u2191", ttype:CONST},
{input:"\\downarrow",		tag:"mo", output:"\u2193", ttype:CONST},
{input:"\\updownarrow",		tag:"mo", output:"\u2195", ttype:CONST},
{input:"\\Leftarrow",		tag:"mo", output:"\u21D0", ttype:CONST},
{input:"\\Rightarrow",		tag:"mo", output:"\u21D2", ttype:CONST},
{input:"\\Leftrightarrow",	tag:"mo", output:"\u21D4", ttype:CONST},
{input:"\\iff", tag:"mo", output:"~\\Longleftrightarrow~", ttype:DEFINITION},
{input:"\\Uparrow",		tag:"mo", output:"\u21D1", ttype:CONST},
{input:"\\Downarrow",		tag:"mo", output:"\u21D3", ttype:CONST},
{input:"\\Updownarrow",		tag:"mo", output:"\u21D5", ttype:CONST},
{input:"\\mapsto",		tag:"mo", output:"\u21A6", ttype:CONST},
{input:"\\longleftarrow",	tag:"mo", output:"\u2190", ttype:LONG},
{input:"\\longrightarrow",	tag:"mo", output:"\u2192", ttype:LONG},
{input:"\\longleftrightarrow",	tag:"mo", output:"\u2194", ttype:LONG},
{input:"\\Longleftarrow",	tag:"mo", output:"\u21D0", ttype:LONG},
{input:"\\Longrightarrow",	tag:"mo", output:"\u21D2", ttype:LONG},
{input:"\\Longleftrightarrow",  tag:"mo", output:"\u21D4", ttype:LONG},
{input:"\\longmapsto",		tag:"mo", output:"\u21A6", ttype:CONST},
							// disaster if LONG

//commands with argument
LMsqrt, LMroot, LMfrac, LMover, LMsub, LMsup, LMtext, LMmbox, LMatop, LMchoose,
//LMdiv, LMquote,

//diacritical marks
{input:"\\acute",	tag:"mover",  output:"\u00B4", ttype:UNARY, acc:true},
//{input:"\\acute",	  tag:"mover",  output:"\u0317", ttype:UNARY, acc:true},
//{input:"\\acute",	  tag:"mover",  output:"\u0301", ttype:UNARY, acc:true},
//{input:"\\grave",	  tag:"mover",  output:"\u0300", ttype:UNARY, acc:true},
//{input:"\\grave",	  tag:"mover",  output:"\u0316", ttype:UNARY, acc:true},
{input:"\\grave",	tag:"mover",  output:"\u0060", ttype:UNARY, acc:true},
{input:"\\breve",	tag:"mover",  output:"\u02D8", ttype:UNARY, acc:true},
{input:"\\check",	tag:"mover",  output:"\u02C7", ttype:UNARY, acc:true},
{input:"\\dot",		tag:"mover",  output:".",      ttype:UNARY, acc:true},
{input:"\\ddot",	tag:"mover",  output:"..",     ttype:UNARY, acc:true},
//{input:"\\ddot",	  tag:"mover",  output:"\u00A8", ttype:UNARY, acc:true},
{input:"\\mathring",	tag:"mover",  output:"\u00B0", ttype:UNARY, acc:true},
{input:"\\vec",		tag:"mover",  output:"\u20D7", ttype:UNARY, acc:true},
{input:"\\overrightarrow",tag:"mover",output:"\u20D7", ttype:UNARY, acc:true},
{input:"\\overleftarrow",tag:"mover", output:"\u20D6", ttype:UNARY, acc:true},
{input:"\\hat",		tag:"mover",  output:"\u005E", ttype:UNARY, acc:true},
{input:"\\widehat",	tag:"mover",  output:"\u0302", ttype:UNARY, acc:true},
{input:"\\tilde",	tag:"mover",  output:"~",      ttype:UNARY, acc:true},
//{input:"\\tilde",	  tag:"mover",  output:"\u0303", ttype:UNARY, acc:true},
{input:"\\widetilde",	tag:"mover",  output:"\u02DC", ttype:UNARY, acc:true},
{input:"\\bar",		tag:"mover",  output:"\u203E", ttype:UNARY, acc:true},
{input:"\\overbrace",	tag:"mover",  output:"\u23B4", ttype:UNARY, acc:true},
{input:"\\overline",	tag:"mover",  output:"\u00AF", ttype:UNARY, acc:true},
{input:"\\underbrace",  tag:"munder", output:"\u23B5", ttype:UNARY, acc:true},
{input:"\\underline",	tag:"munder", output:"\u00AF", ttype:UNARY, acc:true},
//{input:"underline",	tag:"munder", output:"\u0332", ttype:UNARY, acc:true},

//typestyles and fonts
{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true", ttype:UNARY},
{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false", ttype:UNARY},
{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1", ttype:UNARY},
{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2", ttype:UNARY},
{input:"\\textrm", tag:"mstyle", output:"\\mathrm", ttype: DEFINITION},
{input:"\\mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
{input:"\\textbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
{input:"\\mathit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
{input:"\\textit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
{input:"\\mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
{input:"\\texttt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
{input:"\\mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", ttype:UNARY},
{input:"\\mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", ttype:UNARY, codes:LMbbb},
{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:LMcal},
{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",ttype:UNARY, codes:LMfrk}
];

function compareNames(s1,s2) {
  if (s1.input > s2.input) return 1
  else return -1;
}

var LMnames = []; //list of input symbols

function LMinitSymbols() {
  LMsymbols.sort(compareNames);
  for (i=0; i<LMsymbols.length; i++) LMnames[i] = LMsymbols[i].input;
}

var LMmathml = "http://www.w3.org/1998/Math/MathML";

function LMcreateElementMathML(t) {
  if (isIE) return document.createElement("m:"+t);
  else return document.createElementNS(LMmathml,t);
}

function LMcreateMmlNode(t,frag) {
//  var node = LMcreateElementMathML(name);
  if (isIE) var node = document.createElement("m:"+t);
  else var node = document.createElementNS(LMmathml,t);
  node.appendChild(frag);
  return node;
}

function newcommand(oldstr,newstr) {
  LMsymbols = LMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
                                 ttype:DEFINITION}]);
}

function LMremoveCharsAndBlanks(str,n) {
//remove n characters and any following blanks
  var st;
  st = str.slice(n);
  for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);
  return st.slice(i);
}

function LMposition(arr, str, n) {
// return position >=n where str appears or would be inserted
// assumes arr is sorted
  if (n==0) {
    var h,m;
    n = -1;
    h = arr.length;
    while (n+1<h) {
      m = (n+h) >> 1;
      if (arr[m]<str) n = m; else h = m;
    }
    return h;
  } else
    for (var i=n; i<arr.length && arr[i]<str; i++);
  return i; // i=arr.length || arr[i]>=str
}

function LMgetSymbol(str) {
//return maximal initial substring of str that appears in names
//return null if there is none
  var k = 0; //new pos
  var j = 0; //old pos
  var mk; //match pos
  var st;
  var tagst;
  var match = "";
  var more = true;
  for (var i=1; i<=str.length && more; i++) {
    st = str.slice(0,i); //initial substring of length i
    j = k;
    k = LMposition(LMnames, st, j);
    if (k<LMnames.length && str.slice(0,LMnames[k].length)==LMnames[k]){
      match = LMnames[k];
      mk = k;
      i = match.length;
    }
    more = k<LMnames.length && str.slice(0,LMnames[k].length)>=LMnames[k];
  }
  LMpreviousSymbol=LMcurrentSymbol;
  if (match!=""){
    LMcurrentSymbol=LMsymbols[mk].ttype;
    return LMsymbols[mk];
  }
  LMcurrentSymbol=CONST;
  k = 1;
  st = str.slice(0,1); //take 1 character
  if ("0"<=st && st<="9") tagst = "mn";
  else tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
/*
// Commented out by DRW (not fully understood, but probably to do with
// use of "/" as an INFIX version of "\\frac", which we don't want):
//}
//if (st=="-" && LMpreviousSymbol==INFIX) {
//  LMcurrentSymbol = INFIX;  //trick "/" into recognizing "-" on second parse
//  return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
//}
*/
  return {input:st, tag:tagst, output:st, ttype:CONST};
}


/*Parsing ASCII math expressions with the following grammar
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
u ::= sqrt | text | bb | other unary symbols for font commands
b ::= frac | root | stackrel	binary symbols
l ::= { | \left			left brackets
r ::= } | \right		right brackets
S ::= v | lEr | uS | bSS	Simple expression
I ::= S_S | S^S | S_S^S | S	Intermediate expression
E ::= IE | I/I			Expression
Each terminal symbol is translated into a corresponding mathml node.*/

var LMpreviousSymbol,LMcurrentSymbol;

function LMparseSexpr(str) { //parses str and returns [node,tailstr,(node)tag]
  var symbol, node, result, result2, i, st,// rightvert = false,
    newFrag = document.createDocumentFragment();
  str = LMremoveCharsAndBlanks(str,0);
  symbol = LMgetSymbol(str);             //either a token or a bracket or empty
  if (symbol == null || symbol.ttype == RIGHTBRACKET)
    return [null,str,null];
  if (symbol.ttype == DEFINITION) {
    str = symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length);
    symbol = LMgetSymbol(str);
    if (symbol == null || symbol.ttype == RIGHTBRACKET)
      return [null,str,null];
  }
  str = LMremoveCharsAndBlanks(str,symbol.input.length);
  switch (symbol.ttype) {
  case SPACE:
    node = LMcreateElementMathML(symbol.tag);
    node.setAttribute(symbol.atname,symbol.atval);
    return [node,str,symbol.tag];
  case UNDEROVER:
    if (isIE) {
      if (symbol.input.substr(0,4) == "\\big") {   // botch for missing symbols
	str = "\\"+symbol.input.substr(4)+str;	   // make \bigcup = \cup etc.
	symbol = LMgetSymbol(str);
	symbol.ttype = UNDEROVER;
	str = LMremoveCharsAndBlanks(str,symbol.input.length);
      }
    }
    return [LMcreateMmlNode(symbol.tag,
			document.createTextNode(symbol.output)),str,symbol.tag];
  case CONST:
    var output = symbol.output;
    if (isIE) {
      if (symbol.input == "'")
	output = "\u2032";
      else if (symbol.input == "''")
	output = "\u2033";
      else if (symbol.input == "'''")
	output = "\u2033\u2032";
      else if (symbol.input == "''''")
	output = "\u2033\u2033";
      else if (symbol.input == "\\square")
	output = "\u25A1";	// same as \Box
      else if (symbol.input.substr(0,5) == "\\frac") {
						// botch for missing fractions
	var denom = symbol.input.substr(6,1);
	if (denom == "5" || denom == "6") {
	  str = symbol.input.replace(/\\frac/,"\\frac ")+str;
	  return [node,str,symbol.tag];
	}
      }
    }
    node = LMcreateMmlNode(symbol.tag,document.createTextNode(output));
    return [node,str,symbol.tag];
  case LONG:  // added by DRW
    node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
    node.setAttribute("minsize","1.5");
    node.setAttribute("maxsize","1.5");
    node = LMcreateMmlNode("mover",node);
    node.appendChild(LMcreateElementMathML("mspace"));
    return [node,str,symbol.tag];
  case STRETCHY:  // added by DRW
    if (isIE && symbol.input == "\\backslash")
	symbol.output = "\\";	// doesn't expand, but then nor does "\u2216"
    node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
    if (symbol.input == "|" || symbol.input == "\\vert" ||
	symbol.input == "\\|" || symbol.input == "\\Vert") {
	  node.setAttribute("lspace","0em");
	  node.setAttribute("rspace","0em");
    }
    node.setAttribute("maxsize",symbol.atval);  // don't allow to stretch here
    if (symbol.rtag != null)
      return [node,str,symbol.rtag];
    else
      return [node,str,symbol.tag];
  case BIG:  // added by DRW
    var atval = symbol.atval;
    if (isIE)
      atval = symbol.ieval;
    symbol = LMgetSymbol(str);
    if (symbol == null)
	return [null,str,null];
    str = LMremoveCharsAndBlanks(str,symbol.input.length);
    node = LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
    if (isIE) {		// to get brackets to expand
      var space = LMcreateElementMathML("mspace");
      space.setAttribute("height",atval+"ex");
      node = LMcreateMmlNode("mrow",node);
      node.appendChild(space);
    } else {		// ignored in IE
      node.setAttribute("minsize",atval);
      node.setAttribute("maxsize",atval);
    }
    return [node,str,symbol.tag];
  case LEFTBRACKET:   //read (expr+)
    if (symbol.input == "\\left") { // left what?
      symbol = LMgetSymbol(str);
      if (symbol != null) {
	if (symbol.input == ".")
	  symbol.invisible = true;
	str = LMremoveCharsAndBlanks(str,symbol.input.length);
      }
    }
    result = LMparseExpr(str,true,false);
    if (symbol==null ||
	(typeof symbol.invisible == "boolean" && symbol.invisible))
      node = LMcreateMmlNode("mrow",result[0]);
    else {
      node = LMcreateMmlNode("mo",document.createTextNode(symbol.output));
      node = LMcreateMmlNode("mrow",node);
      node.appendChild(result[0]);
    }
    return [node,result[1],result[2]];
  case MATRIX:	 //read (expr+)
    if (symbol.input == "\\begin{array}") {
      var mask = "";
      symbol = LMgetSymbol(str);
      str = LMremoveCharsAndBlanks(str,0);
      if (symbol == null)
	mask = "l";
      else {
	str = LMremoveCharsAndBlanks(str,symbol.input.length);
	if (symbol.input != "{")
	  mask = "l";
	else do {
	  symbol = LMgetSymbol(str);
	  if (symbol != null) {
	    str = LMremoveCharsAndBlanks(str,symbol.input.length);
	    if (symbol.input != "}")
	      mask = mask+symbol.input;
	  }
	} while (symbol != null && symbol.input != "" && symbol.input != "}");
      }
      result = LMparseExpr("{"+str,true,true);
//    if (result[0]==null) return [LMcreateMmlNode("mo",
//			   document.createTextNode(symbol.input)),str];
      node = LMcreateMmlNode("mtable",result[0]);
      mask = mask.replace(/l/g,"left ");
      mask = mask.replace(/r/g,"right ");
      mask = mask.replace(/c/g,"center ");
      node.setAttribute("columnalign",mask);
      node.setAttribute("displaystyle","false");
      if (isIE)
	return [node,result[1],null];
// trying to get a *little* bit of space around the array
// (IE already includes it)
      var lspace = LMcreateElementMathML("mspace");
      lspace.setAttribute("width","0.167em");
      var rspace = LMcreateElementMathML("mspace");
      rspace.setAttribute("width","0.167em");
      var node1 = LMcreateMmlNode("mrow",lspace);
      node1.appendChild(node);
      node1.appendChild(rspace);
      return [node1,result[1],null];
    } else {	// eqnarray
      result = LMparseExpr("{"+str,true,true);
      node = LMcreateMmlNode("mtable",result[0]);
      if (isIE)
	node.setAttribute("columnspacing","0.25em"); // best in practice?
      else
	node.setAttribute("columnspacing","0.167em"); // correct (but ignored?)
      node.setAttribute("columnalign","right center left");
      node.setAttribute("displaystyle","true");
      node = LMcreateMmlNode("mrow",node);
      return [node,result[1],null];
    }
  case TEXT:
      if (str.charAt(0)=="{") i=str.indexOf("}");
      else i = 0;
      if (i==-1)
		 i = str.length;
      st = str.slice(1,i);
      if (st.charAt(0) == " ") {
	node = LMcreateElementMathML("mspace");
	node.setAttribute("width","0.33em");	// was 1ex
	newFrag.appendChild(node);
      }
      newFrag.appendChild(
        LMcreateMmlNode(symbol.tag,document.createTextNode(st)));
      if (st.charAt(st.length-1) == " ") {
	node = LMcreateElementMathML("mspace");
	node.setAttribute("width","0.33em");	// was 1ex
	newFrag.appendChild(node);
      }
      str = LMremoveCharsAndBlanks(str,i+1);
      return [LMcreateMmlNode("mrow",newFrag),str,null];
  case UNARY:
      result = LMparseSexpr(str);
      if (result[0]==null) return [LMcreateMmlNode(symbol.tag,
                             document.createTextNode(symbol.output)),str];
      if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
	st = str.charAt(0);
//	if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
	if (st=="^" || st=="_" || st==",") {
	  return [LMcreateMmlNode(symbol.tag,
		    document.createTextNode(symbol.output)),str,symbol.tag];
        } else {
	  node = LMcreateMmlNode("mrow",
	   LMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
	  if (isIE) {
	    var space = LMcreateElementMathML("mspace");
	    space.setAttribute("width","0.167em");
	    node.appendChild(space);
	  }
	  node.appendChild(result[0]);
	  return [node,result[1],symbol.tag];
        }
      }
      if (symbol.input == "\\sqrt") {		// sqrt
	if (isIE) {	// set minsize, for \surd
	  var space = LMcreateElementMathML("mspace");
	  space.setAttribute("height","1.2ex");
	  space.setAttribute("width","0em");	// probably no effect
	  node = LMcreateMmlNode(symbol.tag,result[0])
//	  node.setAttribute("minsize","1");	// ignored
//	  node = LMcreateMmlNode("mrow",node);  // hopefully unnecessary
	  node.appendChild(space);
	  return [node,result[1],symbol.tag];
	} else
	  return [LMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];
      } else if (typeof symbol.acc == "boolean" && symbol.acc) {   // accent
        node = LMcreateMmlNode(symbol.tag,result[0]);
	var output = symbol.output;
	if (isIE) {
		if (symbol.input == "\\hat")
			output = "\u0302";
		else if (symbol.input == "\\widehat")
			output = "\u005E";
		else if (symbol.input == "\\bar")
			output = "\u00AF";
		else if (symbol.input == "\\grave")
			output = "\u0300";
		else if (symbol.input == "\\tilde")
			output = "\u0303";
	}
	var node1 = LMcreateMmlNode("mo",document.createTextNode(output));
	if (symbol.input == "\\vec" || symbol.input == "\\check")
						// don't allow to stretch
	    node1.setAttribute("maxsize","1.2");
		 // why doesn't "1" work?  \vec nearly disappears in firefox
	if (isIE && symbol.input == "\\bar")
	    node1.setAttribute("maxsize","0.5");
	if (symbol.input == "\\underbrace" || symbol.input == "\\underline")
	  node1.setAttribute("accentunder","true");
	else
	  node1.setAttribute("accent","true");
	node.appendChild(node1);
	if (symbol.input == "\\overbrace" || symbol.input == "\\underbrace")
	  node.ttype = UNDEROVER;
	return [node,result[1],symbol.tag];
      } else {			      // font change or displaystyle command
        if (!isIE && typeof symbol.codes != "undefined") {
          for (i=0; i<result[0].childNodes.length; i++)
            if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {
              st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:
                              result[0].childNodes[i].firstChild.nodeValue);
              var newst = [];
              for (var j=0; j<st.length; j++)
                if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +
                  String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);
                else newst = newst + st.charAt(j);
              if (result[0].nodeName=="mi")
                result[0]=LMcreateElementMathML("mo").
                          appendChild(document.createTextNode(newst));
              else result[0].replaceChild(LMcreateElementMathML("mo").
          appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
            }
        }
        node = LMcreateMmlNode(symbol.tag,result[0]);
        node.setAttribute(symbol.atname,symbol.atval);
	if (symbol.input == "\\scriptstyle" ||
	    symbol.input == "\\scriptscriptstyle")
		node.setAttribute("displaystyle","false");
	return [node,result[1],symbol.tag];
      }
  case BINARY:
    result = LMparseSexpr(str);
    if (result[0]==null) return [LMcreateMmlNode("mo",
			   document.createTextNode(symbol.input)),str,null];
    result2 = LMparseSexpr(result[1]);
    if (result2[0]==null) return [LMcreateMmlNode("mo",
			   document.createTextNode(symbol.input)),str,null];
    if (symbol.input=="\\root" || symbol.input=="\\stackrel")
      newFrag.appendChild(result2[0]);
    newFrag.appendChild(result[0]);
    if (symbol.input=="\\frac") newFrag.appendChild(result2[0]);
    return [LMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];
  case INFIX:
    str = LMremoveCharsAndBlanks(str,symbol.input.length);
    return [LMcreateMmlNode("mo",document.createTextNode(symbol.output)),
	str,symbol.tag];
  default:
    return [LMcreateMmlNode(symbol.tag,        //its a constant
	document.createTextNode(symbol.output)),str,symbol.tag];
  }
}

function LMparseIexpr(str) {
  var symbol, sym1, sym2, node, result, tag, underover;
  str = LMremoveCharsAndBlanks(str,0);
  sym1 = LMgetSymbol(str);
  result = LMparseSexpr(str);
  node = result[0];
  str = result[1];
  tag = result[2];
  symbol = LMgetSymbol(str);
  if (symbol.ttype == INFIX) {
    str = LMremoveCharsAndBlanks(str,symbol.input.length);
    result = LMparseSexpr(str);
    if (result[0] == null) // show box in place of missing argument
      result[0] = LMcreateMmlNode("mo",document.createTextNode("\u25A1"));
    str = result[1];
    tag = result[2];
    if (symbol.input == "_" || symbol.input == "^") {
      sym2 = LMgetSymbol(str);
      tag = null;	// no space between x^2 and a following sin, cos, etc.
// This is for \underbrace and \overbrace
      underover = ((sym1.ttype == UNDEROVER) || (node.ttype == UNDEROVER));
//    underover = (sym1.ttype == UNDEROVER);
      if (symbol.input == "_" && sym2.input == "^") {
        str = LMremoveCharsAndBlanks(str,sym2.input.length);
        var res2 = LMparseSexpr(str);
	str = res2[1];
	tag = res2[2];  // leave space between x_1^2 and a following sin etc.
        node = LMcreateMmlNode((underover?"munderover":"msubsup"),node);
        node.appendChild(result[0]);
        node.appendChild(res2[0]);
      } else if (symbol.input == "_") {
	node = LMcreateMmlNode((underover?"munder":"msub"),node);
        node.appendChild(result[0]);
      } else {
	node = LMcreateMmlNode((underover?"mover":"msup"),node);
        node.appendChild(result[0]);
      }
      node = LMcreateMmlNode("mrow",node); // so sum does not stretch
    } else {
      node = LMcreateMmlNode(symbol.tag,node);
      if (symbol.input == "\\atop" || symbol.input == "\\choose")
	node.setAttribute("linethickness","0ex");
      node.appendChild(result[0]);
      if (symbol.input == "\\choose")
	node = LMcreateMmlNode("mfenced",node);
    }
  }
  return [node,str,tag];
}

function LMparseExpr(str,rightbracket,matrix) {
  var symbol, node, result, i, tag,
  newFrag = document.createDocumentFragment();
  do {
    str = LMremoveCharsAndBlanks(str,0);
    result = LMparseIexpr(str);
    node = result[0];
    str = result[1];
    tag = result[2];
    symbol = LMgetSymbol(str);
    if (node!=undefined) {
      if ((tag == "mn" || tag == "mi") && symbol!=null &&
	typeof symbol.func == "boolean" && symbol.func) {
			// Add space before \sin in 2\sin x or x\sin x
	  var space = LMcreateElementMathML("mspace");
	  space.setAttribute("width","0.167em");
	  node = LMcreateMmlNode("mrow",node);
	  node.appendChild(space);
      }
      newFrag.appendChild(node);
    }
  } while ((symbol.ttype != RIGHTBRACKET)
        && symbol!=null && symbol.output!="");
  tag = null;
  if (symbol.ttype == RIGHTBRACKET) {
    if (symbol.input == "\\right") { // right what?
      str = LMremoveCharsAndBlanks(str,symbol.input.length);
      symbol = LMgetSymbol(str);
      if (symbol != null && symbol.input == ".")
	symbol.invisible = true;
      if (symbol != null)
	tag = symbol.rtag;
    }
    if (symbol!=null)
      str = LMremoveCharsAndBlanks(str,symbol.input.length); // ready to return
    var len = newFrag.childNodes.length;
    if (matrix &&
      len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&
      newFrag.childNodes[len-2].nodeName == "mo" &&
      newFrag.childNodes[len-2].firstChild.nodeValue == "&") { //matrix
	var pos = []; // positions of ampersands
        var m = newFrag.childNodes.length;
        for (i=0; matrix && i<m; i=i+2) {
          pos[i] = [];
          node = newFrag.childNodes[i];
	  for (var j=0; j<node.childNodes.length; j++)
	    if (node.childNodes[j].firstChild.nodeValue=="&")
	      pos[i][pos[i].length]=j;
        }
	var row, frag, n, k, table = document.createDocumentFragment();
	for (i=0; i<m; i=i+2) {
	  row = document.createDocumentFragment();
	  frag = document.createDocumentFragment();
	  node = newFrag.firstChild; // <mrow> -&-&...&-&- </mrow>
	  n = node.childNodes.length;
	  k = 0;
	  for (j=0; j<n; j++) {
	    if (typeof pos[i][k] != "undefined" && j==pos[i][k]){
	      node.removeChild(node.firstChild); //remove &
	      row.appendChild(LMcreateMmlNode("mtd",frag));
	      k++;
	    } else frag.appendChild(node.firstChild);
	  }
	  row.appendChild(LMcreateMmlNode("mtd",frag));
	  if (newFrag.childNodes.length>2) {
	    newFrag.removeChild(newFrag.firstChild); //remove <mrow> </mrow>
	    newFrag.removeChild(newFrag.firstChild); //remove <mo>&</mo>
	  }
	  table.appendChild(LMcreateMmlNode("mtr",row));
	}
	return [table,str];
    }
    if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
      node = LMcreateMmlNode("mo",document.createTextNode(symbol.output));
      newFrag.appendChild(node);
    }
  }
  return [newFrag,str,tag];
}

function LMparseMath(str) {
  var result, node = LMcreateElementMathML("mstyle");
  if (LMmathcolor != "") node.setAttribute("mathcolor",LMmathcolor);
  if (LMmathfontfamily != "") node.setAttribute("fontfamily",LMmathfontfamily);
  node.appendChild(LMparseExpr(str.replace(/^\s+/g,""),false,false)[0]);
  node = LMcreateMmlNode("math",node);
  if (LMshowasciiformulaonhover)                    //fixed by djhsu so newline
    node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
  var fnode = LMcreateElementXHTML("span");
  fnode.style.fontSize = mathfontsize;
  if (LMmathfontfamily != "") fnode.style.fontFamily = LMmathfontfamily;
  fnode.appendChild(node);
  return fnode;
}

function LMstrarr2docFrag(arr, linebreaks) {
  var newFrag=document.createDocumentFragment();
  var expr = false;
  for (var i=0; i<arr.length; i++) {
    if (expr) newFrag.appendChild(LMparseMath(arr[i]));
    else {
      var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
      newFrag.appendChild(LMcreateElementXHTML("span").
      appendChild(document.createTextNode(arri[0])));
      for (var j=1; j<arri.length; j++) {
        newFrag.appendChild(LMcreateElementXHTML("p"));
        newFrag.appendChild(LMcreateElementXHTML("span").
        appendChild(document.createTextNode(arri[j])));
      }
    }
    expr = !expr;
  }
  return newFrag;
}

function LMprocessNodeR(n, linebreaks) {
  var mtch, str, arr, frg, i;
  if (n.childNodes.length == 0) {
   if ((n.nodeType!=8 || linebreaks) &&
    n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
    n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
    n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
    str = n.nodeValue;
    if (!(str == null)) {
      str = str.replace(/\r\n\r\n/g,"\n\n");
      str = str.replace(/\x20+/g," ");
      str = str.replace(/\s*\r\n/g," ");
// DELIMITERS:
      mtch = (str.indexOf("\$")==-1 ? false : true);
      str = str.replace(/([^\\])\$/g,"$1 \$");
      str = str.replace(/^\$/," \$");	// in case \$ at start of string
      arr = str.split(" \$");
      for (i=0; i<arr.length; i++)
	arr[i]=arr[i].replace(/\\\$/g,"\$");
      if (arr.length>1 || mtch) {
        if (LMcheckForMathML) {
          LMcheckForMathML = false;
          var nd = LMisMathMLavailable();
          LMnoMathML = nd != null;
          if (LMnoMathML && LMnotifyIfNoMathML)
            if (LMalertIfNoMathML)
              alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\
                or Firefox/Mozilla/Netscape");
            else LMbody.insertBefore(nd,LMbody.childNodes[0]);
        }
        if (!LMnoMathML) {
          frg = LMstrarr2docFrag(arr,n.nodeType==8);
          var len = frg.childNodes.length;
          n.parentNode.replaceChild(frg,n);
          return len-1;
        } else return 0;
      }
    }
   } else return 0;
  } else if (n.nodeName!="math") {
    for (i=0; i<n.childNodes.length; i++)
      i += LMprocessNodeR(n.childNodes[i], linebreaks);
  }
  return 0;
}

var tcnt = 0, dcnt = 0; //theorem and definition counters

function simpleLaTeXformatting(st) {
  st = st.replace(/\$\$(.*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");
  st = st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"});
  st = st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")});
  st = st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return "<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" &#x25A1;"});
  st = st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");
  st = st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");
  st = st.replace(/\\cite{(.*?)}/g,"[$1]");
  st = st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");
  st = st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");
  st = st.replace(/\\subsection{(.*?)}/g,"<h4>$1</h4>");
  st = st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");
  st = st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");
  st = st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");
  st = st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");
  st = st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");
  st = st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");
  st = st.replace(/\\begin{description}/g,"<dl>");
  st = st.replace(/\\end{description}/g,"</dl>");
  st = st.replace(/\\newline\b/g,"<br/>");
  st = st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");
  st = st.replace(/\\par\b/g,"<p>&nbsp;</p>");
  st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\">&nbsp;</p>");
  st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\">&nbsp;</p>");
  st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\">&nbsp;</p>");
  st = st.replace(/\\begin{center}(.*?)\\end{center}/g,"<p align=\"center\">$1</p>");
  st = st.replace(/<embed\s+class\s?=\s?"ASCIIsvg"/g,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");
  st = st.replace(/(?:\\begin{a?graph}|agraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return "<div><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div>"});
//  st = st.replace(/\(:graph((.|\n)*?):\)/g,function(s,t){return "<div><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div>"});
  st = st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");
  return st
}

function LMprocessNode(n, linebreaks, spanclassLM) {
  var frag,st;
  if (spanclassLM!=null) {
    frag = document.getElementsByTagName("span")
    for (var i=0;i<frag.length;i++)
      if (frag[i].className == "LM")
        LMprocessNodeR(frag[i],linebreaks);
  } else {
    try {
      st = n.innerHTML;
    } catch(err) {}
    var am = /amath|agraph/i.test(st);
    if ((st==null || st.indexOf("\$ ")!=-1 || st.indexOf("\$<")!=-1 || 
         st.indexOf("\\begin")!=-1 || am || st.slice(-1)=="$" ||
         st.indexOf("\$\n")!=-1)&& !/edit-content|HTMLArea|wikiedit/.test(st)){
      if (!avoidinnerHTML && translateLaTeXformatting) 
        st = simpleLaTeXformatting(st);
      if (st!=null && am && !avoidinnerHTML) {
//alert(st)
        st = st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");
//        st = st.replace(/<\/?font.*?>/gi,""); // do this only in amath...end
        st = st.replace(/(Proof:)/g,"<i>$1</i>");
        st = st.replace(/QED/g,"&#x25A1;");
        st = st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");
        st = st.replace(/(\bamath|\\begin{a?math})/ig,"<span></span>$1");
        st = st.replace(/([>\n])(Theorem|Lemma|Proposition|Corollary|Definition|Example|Remark|Problem|Exercise|Conjecture|Solution)(:|\W\W?(\w|\.)*?\W?:)/g,"$1<b>$2$3</b>");
      }
      st = st.replace(/%7E/g,"~");
      if (!avoidinnerHTML) n.innerHTML = st;
      LMprocessNodeR(n,linebreaks);
    }
  }
  if (isIE) { //needed to match size and font of formula to surrounding text
    frag = document.getElementsByTagName('math');
    for (var i=0;i<frag.length;i++) frag[i].update()
  }
}

var LMbody;
var LMnoMathML = false, LMtranslated = false;

function LMtranslate(spanclassLM) {
  if (!LMtranslated) { // run this only once
    LMtranslated = true;
    LMinitSymbols();
    LMbody = document.getElementsByTagName("body")[0];
    var processN = document.getElementById(AMdocumentId);
//alert(processN)
    LMprocessNode((processN!=null?processN:LMbody), false, spanclassLM);
  }
}

if (isIE) { // avoid adding MathPlayer info explicitly to each webpage
  document.write("<object id=\"mathplayer\"\
  classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");
  document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");
}

/* ASCIIsvg.js
==============
JavaScript routines to dynamically generate Scalable Vector Graphics
using a mathematical xy-coordinate system (y increases upwards) and
very intuitive JavaScript commands (no programming experience required).
ASCIIsvg.js is good for learning math and illustrating online math texts.
Works with Internet Explorer+Adobe SVGviewer and SVG enabled Mozilla/Firefox.

Ver 1.2.9 July 31, 2007 (c) Peter Jipsen http://www.chapman.edu/~jipsen
Latest version at http://math.chapman.edu/~jipsen/math/pub/ASCIIsvg.js
If you use it on a webpage, please send the URL to jipsen@chapman.edu

This program is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at
your option) any later version.

This program is distributed in the hope that it will be useful, 
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser
General Public License (at http://www.gnu.org/license/lgpl.html) 
for more details.*/

// you can change these
var checkIfSVGavailable = true;
var notifyIfNoSVG = true;
var alertIfNoSVG = false;

// global defaults used if not specified by graph (you can change these)
var defaultwidth = 300; defaultheight = 200;   // in pixels
var defaultxmin = -5.5; defaultxmax = 5.5;     // in usercoords
var defaultborder = 0; border = defaultborder; // in pixel
var defaultstrokewidth = "1"; // default line width in pixel
var defaultstroke = "blue";   // default line color
var defaultstrokeopacity = 1; // transparent = 0, solid =1
var defaultstrokedasharray = null; // "10,10" gives 10px long dashes
var defaultfill = "none";        // default fill color
var defaultfillopacity = 1;      // transparent = 0, solid =1
var defaultfontstyle = "normal"; // default text shape normal|italic|inherit
var defaultfontfamily = "times"; // default font times|ariel|helvetica|...
var defaultfontsize = "16";      // default size (scaled automatically)
var defaultfontweight = "normal";// normal|bold|bolder|lighter|100|...|900
var defaultfontstroke = "none";  // default font outline color
var defaultfontfill = "none";    // default font color
var defaultmarker = "none";      // "dot" | "arrow" | "+" | "-" | "|"
var defaultendpoints = "";       // "c-d" where c is <|o|* and d is >|o|*

// global values used for all pictures (you can change these)
var showcoordinates = true;
var markerstrokewidth = "1";
var markerstroke = "black";
var markerfill = "yellow";
var markersize = 4;
var arrowfill = stroke;
var dotradius = 4;
var ticklength = 4;
var axesstroke = "black";
var gridstroke = "grey";
var backgroundstyle = "fill-opacity:0; fill:white";
var singlelettersitalic = true;

// internal variables (probably no need to change these)
var picturepos = null; // position of picture relative to top of HTML page
var xunitlength;       // in pixels, used to convert to user coordinates
var yunitlength;       // in pixels
var origin = [0,0];    // in pixels (default is bottom left corner)
var above = "above";   // shorthands (to avoid typing quotes)
var below = "below";
var left = "left";
var right = "right";
var aboveleft = "aboveleft";
var aboveright = "aboveright";
var belowleft = "belowleft";
var belowright = "belowright";
var xmin, xmax, ymin, ymax, xscl, yscl, 
    xgrid, ygrid, xtick, ytick, initialized;
var strokewidth, strokedasharray, stroke, fill, strokeopacity, fillopacity;
var fontstyle, fontfamily, fontsize, fontweight, fontstroke, fontfill;
var marker, endpoints, dynamic = {};
var picture, svgpicture, doc, width, height, a, b, c, d, i, n, p, t, x, y;
var isIE = document.createElementNS==null;

var cpi = "\u03C0", ctheta = "\u03B8";      // character for pi, theta
var log = function(x) { return ln(x)/ln(10) };
var pi = Math.PI, e = Math.E, ln = Math.log, sqrt = Math.sqrt;
var floor = Math.floor, ceil = Math.ceil, abs = Math.abs;
var sin = Math.sin, cos = Math.cos, tan = Math.tan;
var arcsin = Math.asin, arccos = Math.acos, arctan = Math.atan;
var sec = function(x) { return 1/Math.cos(x) };
var csc = function(x) { return 1/Math.sin(x) };
var cot = function(x) { return 1/Math.tan(x) };
var arcsec = function(x) { return arccos(1/x) };
var arccsc = function(x) { return arcsin(1/x) };
var arccot = function(x) { return arctan(1/x) };
var sinh = function(x) { return (Math.exp(x)-Math.exp(-x))/2 };
var cosh = function(x) { return (Math.exp(x)+Math.exp(-x))/2 };
var tanh = 
  function(x) { return (Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x)) };
var sech = function(x) { return 1/cosh(x) };
var csch = function(x) { return 1/sinh(x) };
var coth = function(x) { return 1/tanh(x) };
var arcsinh = function(x) { return ln(x+Math.sqrt(x*x+1)) };
var arccosh = function(x) { return ln(x+Math.sqrt(x*x-1)) };
var arctanh = function(x) { return ln((1+x)/(1-x))/2 };
var sech = function(x) { return 1/cosh(x) };
var csch = function(x) { return 1/sinh(x) };
var coth = function(x) { return 1/tanh(x) };
var arcsech = function(x) { return arccosh(1/x) };
var arccsch = function(x) { return arcsinh(1/x) };
var arccoth = function(x) { return arctanh(1/x) };
var sign = function(x) { return (x==0?0:(x<0?-1:1)) };

function factorial(x,n) { // Factorial function
  if (n==null) n=1;
  if (Math.abs(x-Math.round(x*1000000)/1000000)<1e-15)
    x = Math.round(x*1000000)/1000000;
  if (x-Math.floor(x)!=0) return NaN;
  for (var i=x-n; i>0; i-=n) x*=i;
  return (x<0?NaN:(x==0?1:x));
}

function C(x,k) {  // Binomial coefficient function
  var res=1;
  for (var i=0; i<k; i++) res*=(x-i)/(k-i);
  return res;
}

function chop(x,n) { // Truncate decimal number to n places after decimal point
  if (n==null) n=0;
  return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);
}

function ran(a,b,n) { // Generate random number in [a,b] with n digits after .
  if (n==null) n=0;
  return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);
}

function myCreateElementXHTML(t) {
  if (isIE) return document.createElement(t);
  else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
}

function myCreateElementSVG(t) {
  if (isIE) return doc.createElement(t);
  else return doc.createElementNS("http://www.w3.org/2000/svg",t);
}

function getElementsByClass(container, tagName, clsName){
  var list = new Array(0);
  var collection = container.getElementsByTagName(tagName);
  for(var i = 0; i < collection.length; i++)
    if(collection[i].className.slice(0,clsName.length)==clsName)
      list[list.length] = collection[i];
  return list;
}

function findPos(obj) { // top-left corner of obj on HTML page in pixel
  var curleft = curtop = 0;
  if (obj.offsetParent) {
    curleft = obj.offsetLeft
    curtop = obj.offsetTop
    while (obj = obj.offsetParent) {
      curleft += obj.offsetLeft
      curtop += obj.offsetTop
    }
  }
  return [curleft,curtop];
}

function isSVGavailable() {
  var nd = myCreateElementXHTML("center");
  nd.appendChild(document.createTextNode("To view the "));
  var an = myCreateElementXHTML("a");
  an.appendChild(document.createTextNode("ASCIIsvg"));
  an.setAttribute("href","http://www.chapman.edu/~jipsen/asciisvg.html");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" images use Internet Explorer 6+"));
  an = myCreateElementXHTML("a");
  an.appendChild(document.createTextNode("Adobe SVGviewer 3.02"));
  an.setAttribute("href","http://www.adobe.com/svg");
  nd.appendChild(an);
  nd.appendChild(document.createTextNode(" or "));
  an = myCreateElementXHTML("a");
  an.appendChild(document.createTextNode("SVG enabled Mozilla/Firefox"));
  an.setAttribute("href",
    "http://www.chapman.edu/~jipsen/svg/svgenabledmozillafirefox.html");
  nd.appendChild(an);
  if (navigator.appName.slice(0,8)=="Netscape") 
    if (window['SVGElement']) return null;
    else return nd;
  else if (navigator.appName.slice(0,9)=="Microsoft")
    try {
      var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");
        return null;
    } catch (e) {
        return nd;
    }
  else return nd;
}

function setText(st,id) { // add text to an existing node with given id
  var node = document.getElementById(id);
  if (node!=null)
    if (node.childNodes.length!=0) node.childNodes[0].nodeValue = st;
    else node.appendChild(document.createTextNode(st));
}

function getX(evt) { // return mouse x-coord in user coordinate system
  var svgroot = evt.target.parentNode;
  return (evt.clientX+(isIE?0:window.pageXOffset)-svgroot.getAttribute("left")-svgroot.getAttribute("ox"))/(svgroot.getAttribute("xunitlength")-0);
}

function getY(evt) { // return mouse y-coord in user coordinate system
  var svgroot = evt.target.parentNode;
  return (svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-svgroot.getAttribute("top")))/(svgroot.getAttribute("yunitlength")-0);
}

function translateandeval(src) { //modify user input to JavaScript syntax
  var errstr;
  // replace plot(f(x),...) with plot("f(x)",...)  
  src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");
  src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")");

  // replace (expr,expr) by [expr,expr] where expr has no (,) in it
  src = src.replace(/([=(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]");

  // insert * between digit and letter e.g. 2x --> 2*x
  src = src.replace(/([0-9])([a-zA-Z])/g,"$1*$2");
  src = src.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");

  try {
    with (Math) eval(src);          // here the svgpicture object is created
  } catch(err) {
    if (err!="wait") {
      if (typeof err=="object") 
        errstr = err.name+" "+err.message+" "+err.number+" "+err.description;
      else errstr = err;
      alert(errstr+"\n"+src)
    }
  }
}

function drawPictures() { // main routine; called after webpage has loaded
  var src, id, dsvg, nd, node, ht, index, cols, arr, i, node2;
  var pictures = document.getElementsByTagName("textarea");
  for (index = 0; index<pictures.length; index++)
    if (pictures[index].className=="ASCIIsvg"){
      pictures[index].style.display="none";  // hide the textarea
    }
  var ASbody = document.getElementsByTagName("body")[0];
  pictures = getElementsByClass(ASbody,"embed","ASCIIsvg");
  var len = pictures.length;
  if (checkIfSVGavailable) {
    nd = isSVGavailable();
    if (nd != null && notifyIfNoSVG && len>0)
      if (alertIfNoSVG)
        alert("To view the SVG pictures in Internet Explorer\n\
download the free Adobe SVGviewer from www.adobe.com/svg or\n\
use Firefox 2.0 or later");
      else {
        ASbody.insertBefore(nd,ASbody.childNodes[0]);
      }
  }
 if (nd == null) {
  for (index = 0; index < len; index++) {
   width = null; height = null; 
   xmin = null; xmax = null; ymin = null; ymax = null;
   xscl = null; xgrid = null; yscl = null; ygrid = null;
   initialized = false;
   picture = pictures[index];  // current picture object
   src = picture.getAttribute("script"); // get the ASCIIsvg code
   if (src==null) src = "";
   // insert "axes()" if not present  ******** experimental
   if (!/axes\b|initPicture/.test(src)) {
     var i = 0
     while (/((yscl|ymax|ymin|xscl|xmax|xmin|\bwidth|\bheight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/.test(src.slice(i))) i++;
     src = (i==0?"axes(); "+src: src.slice(0,i)+src.slice(i).replace(/((scl|max|min|idth|eight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/,"$1\naxes();"));
   }
   ht = picture.getAttribute("height");
   if (isIE) {
     picture.setAttribute("wmode","transparent");
//alert("*"+picture.getAttribute("src")+dsvglocation);
//adding d.svg dynamically greates problems in IE...
     if (picture.getAttribute("src")=="") picture.setAttribute("src",dsvglocation+"d.svg");
   }
   if (document.getElementById("picture"+(index+1)+"mml")==null) {
     picture.parentNode.style.position = "relative";
     node = myCreateElementXHTML("div");
     node.style.position = "absolute";
     node.style.top = "0px";
     node.style.left = "0px";
     node.setAttribute("id","picture"+(index+1)+"mml");
     picture.parentNode.insertBefore(node,picture.nextSibling);
   }
   if (ht==null) ht ="";
//   if (ht!="") defaultborder = 25;
   if (ht=="" || src=="") 
    if (document.getElementById("picture"+(index+1)+"input")==null) {
      node = myCreateElementXHTML("textarea");
      arr = src.split("\n");
      cols = 0;
      for (i=0;i<arr.length;i++) cols = Math.max(cols,arr[i].length);
      node.setAttribute("rows",Math.min(10,arr.length)+1);
      node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5);
//      node.setAttribute("style","display:block");
      if (isIE) src = src.replace(/([^\r])\n/g,"$1\r");
      node.appendChild(document.createTextNode(src));
      if (src.indexOf("showcode()")==-1) node.style.display = "none";
      node.setAttribute("id","picture"+(index+1)+"input");
      picture.parentNode.insertBefore(node,picture.nextSibling);
      picture.parentNode.insertBefore(myCreateElementXHTML("br"),node);
      node2 = myCreateElementXHTML("button");
      node2.setAttribute("id","picture"+(index+1)+"button");
      if (isIE) node2.onclick = function() {updatePicture(this)};
      else node2.setAttribute("onclick","updatePicture(this)");
      node2.appendChild(document.createTextNode("Update"));
      if (src.indexOf("showcode()")==-1) node2.style.display = "none";
      picture.parentNode.insertBefore(node2,node);
      picture.parentNode.insertBefore(myCreateElementXHTML("br"),node);
    } else src = document.getElementById("picture"+(index+1)+"input").value;
    id = picture.getAttribute("id");
    dsvg = picture.getAttribute("src");
    if (id == null || id == "") {
      id = "picture"+(index+1);
      picture.setAttribute("id",id);
    }
    translateandeval(src)
  }
 }
}

function setdefaults() { //called before each graph is evaluated
  strokewidth = defaultstrokewidth;
  stroke = defaultstroke;
  strokeopacity = defaultstrokeopacity;
  strokedasharray = defaultstrokedasharray;
  fill = defaultfill;
  fillopacity = defaultfillopacity;
  fontstyle = defaultfontstyle;
  fontfamily = defaultfontfamily;
  fontsize = defaultfontsize;
  fontweight = defaultfontweight;
  fontstroke = defaultfontstroke;
  fontfill = defaultfontfill;
  marker = defaultmarker;
  endpoints = defaultendpoints;
}

function switchTo(id) { // used by dynamic code to select appropriate graph
  picture = document.getElementById(id);
  width = picture.getAttribute("width")-0;
  height = picture.getAttribute("height")-0;
  setdefaults();
  if ((picture.nodeName == "EMBED" || picture.nodeName == "embed") && isIE) {
    svgpicture = picture.getSVGDocument().getElementById("root");
    doc = picture.getSVGDocument();
  } else {
    svgpicture = picture;
    doc = document;
  }
  xunitlength = svgpicture.getAttribute("xunitlength")-0;
  yunitlength = svgpicture.getAttribute("yunitlength")-0;
  xmin = svgpicture.getAttribute("xmin")-0;
  xmax = svgpicture.getAttribute("xmax")-0;
  ymin = svgpicture.getAttribute("ymin")-0;
  ymax = svgpicture.getAttribute("ymax")-0;
  origin = [svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];
}

function updatePicture(obj) {
  var node, src, id;
  if (typeof obj=="object") id = obj.id.slice(0,-6);
  else id = (typeof obj=="string"?obj:"picture"+(obj+1));
  src = document.getElementById(id+"input").value;
  xmin = null; xmax = null; ymin = null; ymax = null;
  xscl = null; xgrid = null; yscl = null; ygrid = null;
  initialized = false;
  picture = document.getElementById(id);
//  switchTo(id);
  translateandeval(src)
}

function changepicturesize(evt,factor) {
  var obj = evt.target;
  var name = obj.parentNode.getAttribute("name");
  var pic = document.getElementById(name);
  var src = document.getElementById(name+"input").value;
  src = src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0)));
  src = src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0)));
  document.getElementById(name+"input").value = src;
//alert(getKey(evt.keycode))
  updatePicture(name);
}

var sinceFirstClick = 0; // ondblclick simulation from 
var dblClkTimer;         // http://www.enja.org/david/?cat=13 Thanks!
function timer() {
  if(sinceFirstClick<60) {
    sinceFirstClick++;
    setTimeout("timer()",10);
  } else {
    clearTimeout(dblClkTimer);
    dblClkTimer = "";
  }
}
function mClick(evt) {
  if(sinceFirstClick!=0) {
    if(sinceFirstClick <= 40) {
      if (evt.shiftKey) changepicturesize(evt,2);
      else if (evt.altKey) changepicturesize(evt,.5);
      else showHideCode(evt);             // do this on dblclick
      clearTimeout(dblClkTimer);
      dblClkTimer = "";
    } else {
      clearTimeout(dblClkTimer);
      sinceFirstClick = 0;
      dblClkTimer = setTimeout("timer()",10);
    }	      
  } else {
    sinceFirstClick = 0;
    dblClkTimer = setTimeout("timer()",10);
  }
}

function showHideCode(evt) { // called by onclick event
//  if (evt.getDetail()==2) {//getDetail unfortunately not in Firefox
  var obj=evt.target;
  var name = obj.parentNode.getAttribute("name");
  var node = document.getElementById(name+"input");
  node.style.display = (node.style.display == "none"?"":"none");
  var node = document.getElementById(name+"button");
  node.style.display = (node.style.display == "none"?"":"none");
//  }
}

function showcode() {} // do nothing

function setBorder(x) { border = x } //deprecate

function initPicture(x_min,x_max,y_min,y_max) { // set up the graph
// usually called by axes() or noaxes(), but can be used directly
 if (!initialized) {
  setdefaults();
  initialized = true;
  if (x_min!=null) xmin = x_min;
  if (x_max!=null) xmax = x_max;
  if (y_min!=null) ymin = y_min;
  if (y_max!=null) ymax = y_max;
  if (xmin==null) xmin = defaultxmin;
  if (xmax==null) xmax = defaultxmax;
 if (typeof xmin != "number" || typeof xmax != "number" || xmin >= xmax) 
   alert("Picture requires at least two numbers: xmin < xmax");
 else if (y_max != null && (typeof y_min != "number" || 
          typeof y_max != "number" || y_min >= y_max))
   alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");
 else {
  if (width==null) {
    width = picture.getAttribute("width");
    if (width==null || width=="") width=defaultwidth;
  }
  picture.setAttribute("width",width);
  if (height==null) { 
    height = picture.getAttribute("height");
    if (height==null || height=="") height=defaultheight;
  }
  picture.setAttribute("height",height);
  xunitlength = (width-2*border)/(xmax-xmin);
  yunitlength = xunitlength;
//alert(xmin+" "+xmax+" "+ymin+" "+ymax)
  if (ymin==null) {
    origin = [-xmin*xunitlength+border,height/2];
    ymin = -(height-2*border)/(2*yunitlength);
    ymax = -ymin;
  } else {
    if (ymax!=null) yunitlength = (height-2*border)/(ymax-ymin);
    else ymax = (height-2*border)/yunitlength + ymin;
    origin = [-xmin*xunitlength+border,-ymin*yunitlength+border];
  }
  if (isIE) {
    if (picture.FULLSCREEN==undefined) {
      setTimeout('drawPictures()',50);
      throw "wait";
    }
    svgpicture = picture.getSVGDocument().getElementById("root");
    if (svgpicture==null) {
      setTimeout('drawPictures()',50);
      throw "wait";
    }
    svgpicture = picture.getSVGDocument().getElementById("root");
    while (svgpicture.childNodes.length>0) 
      svgpicture.removeChild(svgpicture.lastChild); 
    svgpicture.setAttribute("width",width);
    svgpicture.setAttribute("height",height);
    svgpicture.setAttribute("name",picture.getAttribute("id"));
    doc = picture.getSVGDocument();
    var nd = document.getElementById(picture.getAttribute("id")+"mml");
    if (nd!=null) // clear out MathML layer
      while (nd.childNodes.length>0) nd.removeChild(nd.lastChild); 
  } else {
    var qnode = document.createElementNS("http://www.w3.org/2000/svg","svg");
    qnode.setAttribute("id",picture.getAttribute("id"));
    qnode.setAttribute("name",picture.getAttribute("id"));
    qnode.setAttribute("style","display:inline");
    qnode.setAttribute("width",picture.getAttribute("width"));
    qnode.setAttribute("height",picture.getAttribute("height"));
    picturepos = findPos(picture);
    qnode.setAttribute("left",picturepos[0]);
    qnode.setAttribute("top",picturepos[1]);
//      qnode.setAttribute("xmlns:xlink","http://www.w3.org/1999/xlink");
    if (picture.parentNode!=null) {
      picture.parentNode.replaceChild(qnode,picture);
    } else {
      svgpicture.parentNode.replaceChild(qnode,svgpicture);
    }
    svgpicture = qnode;
    doc = document;
  }
  svgpicture.setAttribute("xunitlength",xunitlength);
  svgpicture.setAttribute("yunitlength",yunitlength);
  svgpicture.setAttribute("xmin",xmin);
  svgpicture.setAttribute("xmax",xmax);
  svgpicture.setAttribute("ymin",ymin);
  svgpicture.setAttribute("ymax",ymax);
  svgpicture.setAttribute("ox",origin[0]);
  svgpicture.setAttribute("oy",origin[1]);
  var node = myCreateElementSVG("rect");
  node.setAttribute("x","0");
  node.setAttribute("y","0");
  node.setAttribute("width",width);
  node.setAttribute("height",height);
  node.setAttribute("style",backgroundstyle);
  svgpicture.appendChild(node);
  svgpicture.setAttribute("onmousemove","displayCoord(evt)");
  svgpicture.setAttribute("onmouseout","removeCoord(evt)");
  svgpicture.setAttribute("onclick","mClick(evt)");
  node = myCreateElementSVG("text");
  node.appendChild(doc.createTextNode(" "));
  svgpicture.appendChild(node);
  border = defaultborder;
 }
 }
}

//////////////////////////user graphics commands start/////////////////////////

function line(p,q,id,endpts) { // segment connecting points p,q (coordinates in units)
  var node;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("path");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+
    (height-p[1]*yunitlength-origin[1])+" "+
    (q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));
  node.setAttribute("stroke-width", strokewidth);
  if (strokedasharray!=null) 
    node.setAttribute("stroke-dasharray", strokedasharray);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
  if (marker=="dot" || marker=="arrowdot") {
    ASdot(p,markersize,markerstroke,markerfill);
    if (marker=="arrowdot") arrowhead(p,q);
    ASdot(q,markersize,markerstroke,markerfill);
  } else if (marker=="arrow") arrowhead(p,q);
  if (endpts==null && endpoints!="") endpts = endpoints;
  if (endpts!=null) {
    if (endpts.indexOf("<-") != -1) arrowhead(q,p);
    if (endpts.indexOf("o-") != -1) dot(p, "open");
    if (endpts.indexOf("*-") != -1) dot(p, "closed");
    if (endpts.indexOf("->") != -1) arrowhead(p,q);
    if (endpts.indexOf("-o") != -1) dot(q, "open");
    if (endpts.indexOf("-*") != -1) dot(q, "closed");
  }
}

function path(plist,id,c,endpts) {
  if (c==null) c="";
  var node, st, i;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("path");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  if (typeof plist == "string") st = plist;
  else {
    st = "M";
    st += (plist[0][0]*xunitlength+origin[0])+","+
          (height-plist[0][1]*yunitlength-origin[1])+" "+c;
    for (i=1; i<plist.length; i++)
      st += (plist[i][0]*xunitlength+origin[0])+","+
            (height-plist[i][1]*yunitlength-origin[1])+" ";
  }
  node.setAttribute("d", st);
  node.setAttribute("stroke-width", strokewidth);
  if (strokedasharray!=null) 
    node.setAttribute("stroke-dasharray", strokedasharray);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
  if (marker=="dot" || marker=="arrowdot")
    for (i=0; i<plist.length; i++)
      if (c!="C" && c!="T" || i!=1 && i!=2)
        ASdot(plist[i],markersize,markerstroke,markerfill);
  if (endpts==null && endpoints!="") endpts = endpoints;
  if (endpts!=null) {
    if (endpts.indexOf("<-") != -1) arrowhead(plist[1],plist[0]);
    if (endpts.indexOf("o-") != -1) dot(plist[0], "open");
    if (endpts.indexOf("*-") != -1) dot(plist[0], "closed");
    if (endpts.indexOf("->") != -1) arrowhead(plist[plist.length-2],plist[plist.length-1]);
    if (endpts.indexOf("-o") != -1) dot(plist[plist.length-1], "open");
    if (endpts.indexOf("-*") != -1) dot(plist[plist.length-1], "closed");
  }
}

function curve(plist,id,endpts) {
  path(plist,id,"T",endpts);
}

function vector(p,q,id) {
  line(p,q,id,"","->");
}

function circle(center,radius,id) { // coordinates in units
  var node;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("circle");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("cx",center[0]*xunitlength+origin[0]);
  node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
  node.setAttribute("r",radius*xunitlength);
  node.setAttribute("stroke-width", strokewidth);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
}

function loop(p,d,id) { 
// d is a direction vector e.g. [1,0] means loop starts in that direction
  if (d==null) d=[1,0];
  path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C");
  if (marker=="arrow" || marker=="arrowdot") 
    arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1],
               p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p);
}

function arc(start,end,radius,id) { // coordinates in units
  var node, v;
//alert([fill, stroke, origin, xunitlength, yunitlength, height])
  if (id!=null) node = doc.getElementById(id);
  if (radius==null) {
    v=[end[0]-start[0],end[1]-start[1]];
    radius = Math.sqrt(v[0]*v[0]+v[1]*v[1]);
  }
  if (node==null) {
    node = myCreateElementSVG("path");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+
    (height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+
     radius*yunitlength+" 0 0,0 "+(end[0]*xunitlength+origin[0])+","+
    (height-end[1]*yunitlength-origin[1]));
  node.setAttribute("stroke-width", strokewidth);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
  if (marker=="arrow" || marker=="arrowdot") {
    u = [(end[1]-start[1])/4,(start[0]-end[0])/4];
    v = [(end[0]-start[0])/2,(end[1]-start[1])/2];
//alert([u,v])
    v = [start[0]+v[0]+u[0],start[1]+v[1]+u[1]];
  } else v=[start[0],start[1]];
  if (marker=="dot" || marker=="arrowdot") {
    ASdot(start,markersize,markerstroke,markerfill);
    if (marker=="arrowdot") arrowhead(v,end);
    ASdot(end,markersize,markerstroke,markerfill);
  } else if (marker=="arrow") arrowhead(v,end);
}

function sector(center,start,end,id) { // center,start,end should be isoceles
  var rx = start[0]-center[0], ry = start[1]-center[1];
  arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc");
  path([end,center,start],id+"path");
}

function ellipse(center,rx,ry,id) { // coordinates in units
  var node;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("ellipse");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("cx",center[0]*xunitlength+origin[0]);
  node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
  node.setAttribute("rx",rx*xunitlength);
  node.setAttribute("ry",ry*yunitlength);
  node.setAttribute("stroke-width", strokewidth);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
}

function triangle(p,q,r,id) {
  path([p,q,r,p],id)
}

function rect(p,q,id,rx,ry) { // opposite corners in units, rounded by radii
  var node;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("rect");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("x",p[0]*xunitlength+origin[0]);
  node.setAttribute("y",height-q[1]*yunitlength-origin[1]);
  node.setAttribute("width",(q[0]-p[0])*xunitlength);
  node.setAttribute("height",(q[1]-p[1])*yunitlength);
  if (rx!=null) node.setAttribute("rx",rx*xunitlength);
  if (ry!=null) node.setAttribute("ry",ry*yunitlength);
  node.setAttribute("stroke-width", strokewidth);
  node.setAttribute("stroke", stroke);
  node.setAttribute("fill", fill);
  node.setAttribute("stroke-opacity", strokeopacity);
  node.setAttribute("fill-opacity", fillopacity);
}

function text(p,st,pos,id,fontsty) {
  var dnode, node, dx = 0, dy = fontsize/3;
  if (/(`|\$)/.test(st)) {  // layer for ASCIIMathML and LaTeXMathML
    dnode = document.getElementById(svgpicture.getAttribute("name")+"mml");
    if (dnode!=null) {
      if (id!=null) node = document.getElementById(id);
      if (node==null) {
//alert(dnode.childNodes.length)
        node = myCreateElementXHTML("div");
        node.setAttribute("id", id);
        node.style.position = "absolute";
        dnode.appendChild(node);
      }
      while (node.childNodes.length>0) node.removeChild(node.lastChild); 
      node.appendChild(document.createTextNode(st));
//      node.lastChild.nodeValue = st;
      node.style.left = ""+(p[0]*xunitlength+origin[0])+"px";
      node.style.top = ""+(height-p[1]*yunitlength-origin[1])+"px";
      if (/`/.test(st)) AMprocessNode(node); else LMprocessNode(node);
      dx = -node.offsetWidth/2;
      dy = -node.offsetHeight/2;
      if (pos!=null) {
        if (/above/.test(pos)) dy = -node.offsetHeight;
        if (/below/.test(pos)) dy = 0;
        if (/right/.test(pos)) dx = 0;
        if ( /left/.test(pos)) dx = -node.offsetWidth;
      }
      node.style.left = ""+(p[0]*xunitlength+origin[0]+dx)+"px";
      node.style.top = ""+(height-p[1]*yunitlength-origin[1]+dy)+"px";
    }
    return p;
  }
  var textanchor = "middle";  // regular text goes into SVG
  if (pos!=null) {
    if (/above/.test(pos)) dy = -fontsize/2;
    if (/below/.test(pos)) dy = fontsize-0;
    if (/right/.test(pos)) {textanchor = "start"; dx = fontsize/4;}
    if ( /left/.test(pos)) {textanchor = "end";  dx = -fontsize/4;}
  }
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("text");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
    node.appendChild(doc.createTextNode(st));
  }
  while (node.childNodes.length>1) node.removeChild(node.lastChild); 
//  node.appendChild(document.createTextNode("\xA0"+st+"\xA0"));
//alert("here");
  node.lastChild.nodeValue = "\xA0"+st+"\xA0";
  node.setAttribute("x",p[0]*xunitlength+origin[0]+dx);
  node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy);
  node.setAttribute("font-style",(fontsty!=null?fontsty:
    (st.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));
  node.setAttribute("font-family",fontfamily);
  node.setAttribute("font-size",fontsize);
  node.setAttribute("font-weight",fontweight);
  node.setAttribute("text-anchor",textanchor);
  if (fontstroke!="none") node.setAttribute("stroke",fontstroke);
  if (fontfill!="none") node.setAttribute("fill",fontfill);
  return p;
}

function mtext(p,st,pos,fontsty) { // method for updating text on an svg
// "this" is the text object or the svgpicture object
  var textanchor = "middle";
  var dx = 0; var dy = fontsize/3;
  if (pos!=null) {
    if (pos.slice(0,5)=="above") dy = -fontsize/2;
    if (pos.slice(0,5)=="below") dy = fontsize-0;
    if (pos.slice(0,5)=="right" || pos.slice(5,10)=="right") {
      textanchor = "start";
      dx = fontsize/2;
    }
    if (pos.slice(0,4)=="left" || pos.slice(5,9)=="left") {
      textanchor = "end";
      dx = -fontsize/2;
    }
  }
  var node = this;
  if (this.nodeName=="svg") {
    node = myCreateElementSVG("text");
    this.appendChild(node);
    node.appendChild(doc.createTextNode(st));
  }
  node.lastChild.nodeValue = st;
  node.setAttribute("x",p[0]+dx);
  node.setAttribute("y",p[1]+dy);
  node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle));
  node.setAttribute("font-family",fontfamily);
  node.setAttribute("font-size",fontsize);
  node.setAttribute("font-weight",fontweight);
  node.setAttribute("text-anchor",textanchor);
  if (fontstroke!="none") node.setAttribute("stroke",fontstroke);
  if (fontfill!="none") node.setAttribute("fill",fontfill);
}

function image(imgurl,p,w,h,id) { // not working yet
  var node;
  if (id!=null) node = doc.getElementById(id);
  if (node==null) {
    node = myCreateElementSVG("image");
    node.setAttribute("id", id);
    svgpicture.appendChild(node);
  }
  node.setAttribute("x",p[0]*xunitlength+origin[0]);
  node.setAttribute("y",height-p[1]*yunitlength-origin[1]);
  node.setAttribute("width",w);
  node.setAttribute("height",h);
  node.setAttribute("xlink:href", imgurl);
}

function ASdot(center,radius,s,f) { // coordinates in units, radius in pixel
  if (s==null) s = stroke; if (f==null) f = fill;
  var node = myCreateElementSVG("circle");
  node.setAttribute("cx",center[0]*xunitlength+origin[0]);
  node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);
  node.setAttribute("r",radius);
  node.setAttribute("stroke-width", strokewidth);
  node.setAttribute("stroke", s);
  node.setAttribute("fill", f);
  svgpicture.appendChild(node);
}

function dot(center, typ, label, pos, id) {
  var node;
  var cx = center[0]*xunitlength+origin[0];
  var cy = height-center[1]*yunitlength-origin[1];
  if (id!=null) node = doc.getElementById(id);
  if (typ=="+" || typ=="-" || typ=="|") {
    if (node==null) {
      node = myCreateElementSVG("path");
      node.setAttribute("id", id);
      svgpicture.appendChild(node);
    }
    if (typ=="+") {
      node.setAttribute("d",
        " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+
        " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));
      node.setAttribute("stroke-width", .5);
      node.setAttribute("stroke", axesstroke);
    } else {
      if (typ=="-") node.setAttribute("d",
        " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy);
      else node.setAttribute("d",
        " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));
      node.setAttribute("stroke-width", strokewidth);
      node.setAttribute("stroke", stroke);
    }
  } else {
    if (node==null) {
      node = myCreateElementSVG("circle");
      node.setAttribute("id", id);
      svgpicture.appendChild(node);
    }
    node.setAttribute("cx",cx);
    node.setAttribute("cy",cy);
    node.setAttribute("r",dotradius);
    node.setAttribute("stroke-width", strokewidth);
    node.setAttribute("stroke", stroke);
    node.setAttribute("fill", (typ=="open"?"white":
                              (typ=="closed"?stroke:markerfill)));
  }
  if (label!=null) 
    text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))
}

point = dot; //alternative name

function arrowhead(p,q) { // draw arrowhead at q (in units) add size param
  var up;
  var v = [p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]];
  var w = [q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]];
  var u = [w[0]-v[0],w[1]-v[1]];
  var d = Math.sqrt(u[0]*u[0]+u[1]*u[1]);
  if (d > 0.00000001) {
    u = [u[0]/d, u[1]/d];
    up = [-u[1],u[0]];
    var node = myCreateElementSVG("path");
    node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+
      (w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+
      (w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z");
    node.setAttribute("stroke-width", markerstrokewidth);
    node.setAttribute("stroke", stroke); /*was markerstroke*/
    node.setAttribute("fill", stroke); /*was arrowfill*/
    node.setAttribute("stroke-opacity", strokeopacity);
    node.setAttribute("fill-opacity", fillopacity);
    svgpicture.appendChild(node);    
  }
}

function chopZ(st) {
  var k = st.indexOf(".");
  if (k==-1) return st;
  for (var i=st.length-1; i>k && st.charAt(i)=="0"; i--);
  if (i==k) i--;
  return st.slice(0,i+1);
}

function grid(dx,dy) { // for backward compatibility
  axes(dx,dy,null,dx,dy)
}

function noaxes() {
  if (!initialized) initPicture();
}

function axes(dx,dy,labels,gdx,gdy) {
//xscl=x is equivalent to xtick=x; xgrid=x; labels=true;
  var x, y, ldx, ldy, lx, ly, lxp, lyp, pnode, st;
  if (!initialized) initPicture();
  if (typeof dx=="string") { labels = dx; dx = null; }
  if (typeof dy=="string") { gdx = dy; dy = null; }
  if (xscl!=null) {dx = xscl; gdx = xscl; labels = dx}
  if (yscl!=null) {dy = yscl; gdy = yscl}
  if (xtick!=null) {dx = xtick}
  if (ytick!=null) {dy = ytick}
  dx = (dx==null?xunitlength:dx*xunitlength);
  dy = (dy==null?dx:dy*yunitlength);
  fontsize = Math.min(dx/2,dy/2,16); //alert(fontsize)
  ticklength = fontsize/4;
  if (xgrid!=null) gdx = xgrid;
  if (ygrid!=null) gdy = ygrid;
  if (gdx!=null) {
    gdx = (typeof gdx=="string"?dx:gdx*xunitlength);
    gdy = (gdy==null?dy:gdy*yunitlength);
    pnode = myCreateElementSVG("path");
    st="";
    for (x = origin[0]; x<width; x = x+gdx)
      st += " M"+x+",0"+" "+x+","+height;
    for (x = origin[0]-gdx; x>0; x = x-gdx)
      st += " M"+x+",0"+" "+x+","+height;
    for (y = height-origin[1]; y<height; y = y+gdy)
      st += " M0,"+y+" "+width+","+y;
    for (y = height-origin[1]-gdy; y>0; y = y-gdy)
      st += " M0,"+y+" "+width+","+y;
    pnode.setAttribute("d",st);
    pnode.setAttribute("stroke-width", .5);
    pnode.setAttribute("stroke", gridstroke);
    pnode.setAttribute("fill", fill);
    svgpicture.appendChild(pnode);
  }
  pnode = myCreateElementSVG("path");
  st="M0,"+(height-origin[1])+" "+width+","+
    (height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;
  for (x = origin[0]+dx; x<width; x = x+dx)
    st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+
           (height-origin[1]-ticklength);
  for (x = origin[0]-dx; x>0; x = x-dx)
    st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+
           (height-origin[1]-ticklength);
  for (y = height-origin[1]+dy; y<height; y = y+dy)
    st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;
  for (y = height-origin[1]-dy; y>0; y = y-dy)
    st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;
  if (labels!=null) with (Math) {
    ldx = dx/xunitlength;
    ldy = dy/yunitlength;
    lx = (xmin>0 || xmax<0?xmin:0);
    ly = (ymin>0 || ymax<0?ymin:0);
    lxp = (ly==0?"below":"above");
    lyp = (lx==0?"left":"right");
    var ddx = floor(1.1-log(ldx)/log(10))+1;
    var ddy = floor(1.1-log(ldy)/log(10))+1;
    for (x = ldx; x<=xmax; x = x+ldx)
      text([x,ly],chopZ(x.toFixed(ddx)),lxp);
    for (x = -ldx; xmin<=x; x = x-ldx)
      text([x,ly],chopZ(x.toFixed(ddx)),lxp);
    for (y = ldy; y<=ymax; y = y+ldy)
      text([lx,y],chopZ(y.toFixed(ddy)),lyp);
    for (y = -ldy; ymin<=y; y = y-ldy)
      text([lx,y],chopZ(y.toFixed(ddy)),lyp);
  }
  fontsize = defaultfontsize;
  pnode.setAttribute("d",st);
  pnode.setAttribute("stroke-width", .5);
  pnode.setAttribute("stroke", axesstroke);
  pnode.setAttribute("fill", fill);
  pnode.setAttribute("stroke-opacity", strokeopacity);
  pnode.setAttribute("fill-opacity", fillopacity);
  svgpicture.appendChild(pnode);
}

function mathjs(st) {
  //translate a math formula to js function notation
  // a^b --> pow(a,b)
  // na --> n*a
  // (...)d --> (...)*d
  // n! --> factorial(n)
  // sin^-1 --> arcsin etc.
  //while ^ in string, find term on left and right
  //slice and concat new formula string
  st = st.replace(/\s/g,"");
  if (st.indexOf("^-1")!=-1) {
    st = st.replace(/sin\^-1/g,"arcsin");
    st = st.replace(/cos\^-1/g,"arccos");
    st = st.replace(/tan\^-1/g,"arctan");
    st = st.replace(/sec\^-1/g,"arcsec");
    st = st.replace(/csc\^-1/g,"arccsc");
    st = st.replace(/cot\^-1/g,"arccot");
    st = st.replace(/sinh\^-1/g,"arcsinh");
    st = st.replace(/cosh\^-1/g,"arccosh");
    st = st.replace(/tanh\^-1/g,"arctanh");
    st = st.replace(/sech\^-1/g,"arcsech");
    st = st.replace(/csch\^-1/g,"arccsch");
    st = st.replace(/coth\^-1/g,"arccoth");
  }
  st = st.replace(/^e$/g,"(Math.E)");
  st = st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");
  st = st.replace(/([^a-zA-Z])e/g,"$1(Math.E)");
//  st = st.replace(/([^a-zA-Z])e([^a-zA-Z])/g,"$1(Math.E)$2");
  st = st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");
  st = st.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");
  var i,j,k, ch, nested;
  while ((i=st.indexOf("^"))!=-1) {
    //find left argument
    if (i==0) return "Error: missing argument";
    j = i-1;
    ch = st.charAt(j);
    if (ch>="0" && ch<="9") {// look for (decimal) number
      j--;
      while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
      if (ch==".") {
        j--;
        while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
      }
    } else if (ch==")") {// look for matching opening bracket and function name
      nested = 1;
      j--;
      while (j>=0 && nested>0) {
        ch = st.charAt(j);
        if (ch=="(") nested--;
        else if (ch==")") nested++;
        j--;
      }
      while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
        j--;
    } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
      j--;
      while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
        j--;
    } else { 
      return "Error: incorrect syntax in "+st+" at position "+j;
    }
    //find right argument
    if (i==st.length-1) return "Error: missing argument";
    k = i+1;
    ch = st.charAt(k);
    if (ch>="0" && ch<="9" || ch=="-") {// look for signed (decimal) number
      k++;
      while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;
      if (ch==".") {
        k++;
        while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;
      }
    } else if (ch=="(") {// look for matching closing bracket and function name
      nested = 1;
      k++;
      while (k<st.length && nested>0) {
        ch = st.charAt(k);
        if (ch=="(") nested++;
        else if (ch==")") nested--;
        k++;
      }
    } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
      k++;
      while (k<st.length && (ch=st.charAt(k))>="a" && ch<="z" ||
               ch>="A" && ch<="Z") k++;
    } else { 
      return "Error: incorrect syntax in "+st+" at position "+k;
    }
    st = st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+
           st.slice(k);
  }
  while ((i=st.indexOf("!"))!=-1) {
    //find left argument
    if (i==0) return "Error: missing argument";
    j = i-1;
    ch = st.charAt(j);
    if (ch>="0" && ch<="9") {// look for (decimal) number
      j--;
      while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
      if (ch==".") {
        j--;
        while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;
      }
    } else if (ch==")") {// look for matching opening bracket and function name
      nested = 1;
      j--;
      while (j>=0 && nested>0) {
        ch = st.charAt(j);
        if (ch=="(") nested--;
        else if (ch==")") nested++;
        j--;
      }
      while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
        j--;
    } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable
      j--;
      while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")
        j--;
    } else { 
      return "Error: incorrect syntax in "+st+" at position "+j;
    }
    st = st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);
  }
  return st;
}

function plot(fun,x_min,x_max,points,id,endpts) {
  var pth = [];
  var f = function(x) { return x }, g = fun;
  var name = null;
  if (typeof fun=="string") 
    eval("g = function(x){ with(Math) return "+mathjs(fun)+" }");
  else if (typeof fun=="object") {
    eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }");
    eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }");
  }
  if (typeof x_min=="string") { name = x_min; x_min = xmin }
  else name = id;
  var min = (x_min==null?xmin:x_min);
  var max = (x_max==null?xmax:x_max);
  var inc = max-min-0.000001*(max-min);
  inc = (points==null?inc/200:inc/points);
  var gt;
//alert(typeof g(min))
  for (var t = min; t <= max; t += inc) {
    gt = g(t);
    if (!(isNaN(gt)||Math.abs(gt)=="Infinity")) pth[pth.length] = [f(t), gt];
  }
  path(pth,name,null,endpts);
  return p;
}

// make polar plot

// make Riemann sums

function slopefield(fun,dx,dy) {
  var g = fun;
  if (typeof fun=="string") 
    eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }");
  var gxy,x,y,u,v,dz;
  if (dx==null) dx=1;
  if (dy==null) dy=1;
  dz = Math.sqrt(dx*dx+dy*dy)/6;
  var x_min = Math.ceil(xmin/dx);
  var y_min = Math.ceil(ymin/dy);
  for (x = x_min; x <= xmax; x += dx)
    for (y = y_min; y <= ymax; y += dy) {
      gxy = g(x,y);
      if (!isNaN(gxy)) {
        if (Math.abs(gxy)=="Infinity") {u = 0; v = dz;}
        else {u = dz/Math.sqrt(1+gxy*gxy); v = gxy*u;}
        line([x-u,y-v],[x+u,y+v]);
      }
    }
}

///////////////////////user graphics commands end here/////////////////////////

function show_props(obj) {
  var result = "";
  for (var i=0; i< obj.childNodes.length; i++)
    result += obj.childNodes.item(i) + "\n";
  return result;
}

function displayCoord(evt) {
  if (showcoordinates) {
//alert(show_props(evt.target.parentNode))
    var svgroot = evt.target.parentNode;
    var nl = svgroot.childNodes;
    for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);
    var cnode = nl.item(i);
    cnode.mtext = mtext;
    cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")", "aboveleft", "");
  }
}

function removeCoord(evt) {
    var svgroot = evt.target.parentNode;
    var nl = svgroot.childNodes;
    for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);
    var cnode = nl.item(i);
    cnode.mtext = mtext;
    cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"", "aboveleft", "");
}

function initASCIIMathCalculators(li) {
  var i;
  for (i=0; i<li.length; i++) {
    li[i].innerHTML = calcstr;
    AMprocessNode(li[i]);
  }
  li = document.getElementsByTagName("textarea");
  var st;
  for (i=0; i<li.length; i++) {
    st = li[i].getAttribute("onkeyup");
    if (st!=null) eval(String(st).replace(/function anonymous\(\)/,""));
  }
}

function calculate(inputId,outputId) {
  var str = document.getElementById(inputId).value;
  var err = "";
  var ind = str.lastIndexOf("\n");
  if (ind==str.length-1) str = str.slice(0,ind);
  str = str.slice(str.lastIndexOf("\n")+1);
  try {
    var res = eval(mathjs(str));
  } catch(e) {
    err = "syntax incomplete";
  }
  if (!isNaN(res) && res!="Infinity") 
    str = "`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err; 
  else if (str!="") str = "`"+str+"` = undefined"; //debug:+mathjs(str);
  var outnode = document.getElementById(outputId);
  var n = outnode.childNodes.length;
  for (var i=0; i<n; i++)
    outnode.removeChild(outnode.firstChild);
  outnode.appendChild(document.createTextNode(str));
  AMprocessNode(outnode);
}

function append(st){
  document.getElementById('in').value+=st;
  calculate('in','out');
  document.getElementById('in').scrollTop = 1000;
  document.getElementById('in').focus();
}

function clearTextArea(){
  document.getElementById('in').value="";
  calculate('in','out');
  document.getElementById('in').focus();
}

var calcstr = "<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: &nbsp; &nbsp; <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\">&nbsp;`C`&nbsp;</button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\">&nbsp;`pi` &nbsp;</button></td>\n<td><button onclick=\"append('sin(')\">&nbsp;`sin`</button></td>\n<td><button onclick=\"append('cos(')\">&nbsp;`cos`</button></td>\n<td><button onclick=\"append('tan(')\">&nbsp;`tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\">&nbsp; `!` &nbsp;</button></td>\n\n<td><button onclick=\"append('(')\"><font size=2>&nbsp;&nbsp;`(`&nbsp;&nbsp;</font></button></td>\n<td><button onclick=\"append(')')\"><font size=2>&nbsp;&nbsp;`)`&nbsp;&nbsp;</font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\">&nbsp;`-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\">&nbsp; `7` &nbsp;</button></td>\n<td><button onclick=\"append('8')\">&nbsp; `8` &nbsp;</button></td>\n\n<td><button onclick=\"append('9')\">&nbsp; `9` &nbsp;</button></td>\n<td><button onclick=\"append('*')\">&nbsp;`times`&nbsp;</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\">&nbsp;`ln`&nbsp;</button></td>\n<td><button onclick=\"append('4')\">&nbsp; `4` &nbsp;</button></td>\n<td><button onclick=\"append('5')\">&nbsp; `5` &nbsp;</button></td>\n<td><button onclick=\"append('6')\">&nbsp; `6` &nbsp;</button></td>\n\n<td><button onclick=\"append('-')\">&nbsp;`-{::}`&nbsp;</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\">&nbsp; `e` &nbsp;</button></td>\n<td><button onclick=\"append('1')\">&nbsp;&nbsp;`1` &nbsp;</button></td>\n<td><button onclick=\"append('2')\">&nbsp; `2` &nbsp;</button></td>\n<td><button onclick=\"append('3')\">&nbsp; `3` &nbsp;</button></td>\n<td><button onclick=\"append('+')\">&nbsp;`+{::}`&nbsp;</button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\">&nbsp;`pi` &nbsp;</button--></td>\n<td><button onclick=\"append('0')\">&nbsp; `0` &nbsp;</button></td>\n<td><button onclick=\"append('.')\">&nbsp; `.` &nbsp;</button></td>\n<td><button onclick=\"append('\\n')\">&nbsp;`\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";

// GO1.1 Generic onload by Brothercake
// http://www.brothercake.com/
//onload function (replaces the onload="translate()" in the <body> tag)
function generic()
{
  if (translateOnLoad) {
    var nd = document.getElementById("processasciimathinmoodle");
    if (nd!=null) dsvglocation = nd.className;
    if (nd!=null || !checkforprocessasciimathinmoodle) {
      if (translateLaTeX) LMtranslate();
      if (translateASCIIMath) translate();
      if (translateASCIIsvg) drawPictures();
    }
    var li = getElementsByClass(document,"div","ASCIIMathCalculator");
    if (li.length>0) initASCIIMathCalculators(li);
  }
};
//setup onload function
if(typeof window.addEventListener != 'undefined')
{
  //.. gecko, safari, konqueror and standard
  window.addEventListener('load', generic, false);
}
else if(typeof document.addEventListener != 'undefined')
{
  //.. opera 7
  document.addEventListener('load', generic, false);
}
else if(typeof window.attachEvent != 'undefined')
{
  //.. win/ie
  window.attachEvent('onload', generic);
}
//** remove this condition to degrade older browsers
else
{
  //.. mac/ie5 and anything else that gets this far
  //if there's an existing onload function
  if(typeof window.onload == 'function')
  {
    //store it
    var existing = onload;
    //add new onload handler
    window.onload = function()
    {
      //call existing onload function
      existing();
      //call generic onload function
      generic();
    };
  }
  else
  {
    //setup onload function
    window.onload = generic;
  }
}

