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+/*
+LaTeXMathML.js
+==============
+
+This file, in this form, 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:
+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 General Public License as published by
+the Free Software Foundation; either version 2 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
+General Public License (at http://www.gnu.org/copyleft/gpl.html)
+for more details.
+
+LaTeXMathML.js (ctd)
+==============
+
+The instructions for use are the same as for the original
+ASCIIMathML.js, except that of course the line you add to your
+file should be
+Or use absolute path names if the file is not in the same folder
+as your (X)HTML page.
+*/
+
+var checkForMathML = true; // check if browser can display MathML
+var notifyIfNoMathML = true; // display note if no MathML capability
+var alertIfNoMathML = false; // show alert box if no MathML capability
+// was "red":
+var mathcolor = ""; // change it to "" (to inherit) or any other color
+// was "serif":
+var mathfontfamily = ""; // change to "" to inherit (works in IE)
+ // or another family (e.g. "arial")
+var showasciiformulaonhover = true; // helps students learn ASCIIMath
+/*
+// Commented out by DRW -- not now used -- see DELIMITERS (twice) near the end
+var displaystyle = false; // puts limits above and below large operators
+var decimalsign = "."; // change to "," if you like, beware of `(1,2)`!
+var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters
+var AMdelimiter2 = "$", AMescape2 = "\\\\\\$", AMdelimiter2regexp = "\\$";
+var doubleblankmathdelimiter = false; // if true, x+1 is equal to `x+1`
+ // for IE this works only in <!-- -->
+//var separatetokens;// has been removed (email me if this is a problem)
+*/
+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 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("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 = 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,
+ TEXT = 9, BIG = 10, LONG = 11, STRETCHY = 12, MATRIX = 13; // token types
+
+var AMsqrt = {input:"\\sqrt", tag:"msqrt", output:"sqrt", ttype:UNARY},
+ AMroot = {input:"\\root", tag:"mroot", output:"root", ttype:BINARY},
+ AMfrac = {input:"\\frac", tag:"mfrac", output:"/", ttype:BINARY},
+ AMover = {input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY},
+ AMatop = {input:"\\atop", tag:"mfrac", output:"", ttype:INFIX},
+ AMchoose = {input:"\\choose", tag:"mfrac", output:"", ttype:INFIX},
+ AMsub = {input:"_", tag:"msub", output:"_", ttype:INFIX},
+ AMsup = {input:"^", tag:"msup", output:"^", ttype:INFIX},
+ AMtext = {input:"\\mathrm", tag:"mtext", output:"text", ttype:TEXT},
+ AMmbox = {input:"\\mbox", tag:"mtext", output:"mbox", ttype:TEXT};
+
+// Commented out by DRW to prevent 1/2 turning into a 2-line fraction
+// AMdiv = {input:"/", tag:"mfrac", output:"/", ttype:INFIX},
+// Commented out by DRW so that " prints literally in equations
+// AMquote = {input:"\"", tag:"mtext", output:"mbox", ttype:TEXT};
+
+var AMsymbols = [
+//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 AMparseExpr() )
+{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
+AMsqrt, AMroot, AMfrac, AMover, AMsub, AMsup, AMtext, AMmbox, AMatop, AMchoose,
+//AMdiv, AMquote,
+
+//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:AMbbb},
+{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:AMcal},
+{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",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() {
+ 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 newcommand(oldstr,newstr) {
+ AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
+ ttype:DEFINITION}]);
+}
+
+function AMremoveCharsAndBlanks(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 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];
+ }
+ AMcurrentSymbol=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=="-" && 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};
+}
+
+
+/*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 AMpreviousSymbol,AMcurrentSymbol;
+
+function AMparseSexpr(str) { //parses str and returns [node,tailstr,(node)tag]
+ var symbol, node, result, result2, 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)
+ return [null,str,null];
+ if (symbol.ttype == DEFINITION) {
+ str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);
+ symbol = AMgetSymbol(str);
+ if (symbol == null || symbol.ttype == RIGHTBRACKET)
+ return [null,str,null];
+ }
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ switch (symbol.ttype) {
+ case SPACE:
+ node = AMcreateElementMathML(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 = AMgetSymbol(str);
+ symbol.ttype = UNDEROVER;
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ }
+ }
+ return [AMcreateMmlNode(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 = AMcreateMmlNode(symbol.tag,document.createTextNode(output));
+ return [node,str,symbol.tag];
+ case LONG: // added by DRW
+ node = AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
+ node.setAttribute("minsize","1.5");
+ node.setAttribute("maxsize","1.5");
+ node = AMcreateMmlNode("mover",node);
+ node.appendChild(AMcreateElementMathML("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 = AMcreateMmlNode(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 = AMgetSymbol(str);
+ if (symbol == null)
+ return [null,str,null];
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ node = AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));
+ if (isIE) { // to get brackets to expand
+ var space = AMcreateElementMathML("mspace");
+ space.setAttribute("height",atval+"ex");
+ node = AMcreateMmlNode("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 = AMgetSymbol(str);
+ if (symbol != null) {
+ if (symbol.input == ".")
+ symbol.invisible = true;
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ }
+ }
+ result = AMparseExpr(str,true,false);
+ if (symbol==null ||
+ (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],result[2]];
+ case MATRIX: //read (expr+)
+ if (symbol.input == "\\begin{array}") {
+ var mask = "";
+ symbol = AMgetSymbol(str);
+ str = AMremoveCharsAndBlanks(str,0);
+ if (symbol == null)
+ mask = "l";
+ else {
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ if (symbol.input != "{")
+ mask = "l";
+ else do {
+ symbol = AMgetSymbol(str);
+ if (symbol != null) {
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ if (symbol.input != "}")
+ mask = mask+symbol.input;
+ }
+ } while (symbol != null && symbol.input != "" && symbol.input != "}");
+ }
+ result = AMparseExpr("{"+str,true,true);
+// if (result[0]==null) return [AMcreateMmlNode("mo",
+// document.createTextNode(symbol.input)),str];
+ node = AMcreateMmlNode("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 = AMcreateElementMathML("mspace");
+ lspace.setAttribute("width","0.167em");
+ var rspace = AMcreateElementMathML("mspace");
+ rspace.setAttribute("width","0.167em");
+ var node1 = AMcreateMmlNode("mrow",lspace);
+ node1.appendChild(node);
+ node1.appendChild(rspace);
+ return [node1,result[1],null];
+ } else { // eqnarray
+ result = AMparseExpr("{"+str,true,true);
+ node = AMcreateMmlNode("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 = AMcreateMmlNode("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 = AMcreateElementMathML("mspace");
+ node.setAttribute("width","0.33em"); // was 1ex
+ newFrag.appendChild(node);
+ }
+ newFrag.appendChild(
+ AMcreateMmlNode(symbol.tag,document.createTextNode(st)));
+ if (st.charAt(st.length-1) == " ") {
+ node = AMcreateElementMathML("mspace");
+ node.setAttribute("width","0.33em"); // was 1ex
+ newFrag.appendChild(node);
+ }
+ str = AMremoveCharsAndBlanks(str,i+1);
+ return [AMcreateMmlNode("mrow",newFrag),str,null];
+ case UNARY:
+ 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==",") {
+ if (st=="^" || st=="_" || st==",") {
+ return [AMcreateMmlNode(symbol.tag,
+ document.createTextNode(symbol.output)),str,symbol.tag];
+ } else {
+ node = AMcreateMmlNode("mrow",
+ AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
+ if (isIE) {
+ var space = AMcreateElementMathML("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 = AMcreateElementMathML("mspace");
+ space.setAttribute("height","1.2ex");
+ space.setAttribute("width","0em"); // probably no effect
+ node = AMcreateMmlNode(symbol.tag,result[0])
+// node.setAttribute("minsize","1"); // ignored
+// node = AMcreateMmlNode("mrow",node); // hopefully unnecessary
+ node.appendChild(space);
+ return [node,result[1],symbol.tag];
+ } else
+ return [AMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];
+ } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
+ node = AMcreateMmlNode(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 = AMcreateMmlNode("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]=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);
+ if (symbol.input == "\\scriptstyle" ||
+ symbol.input == "\\scriptscriptstyle")
+ node.setAttribute("displaystyle","false");
+ return [node,result[1],symbol.tag];
+ }
+ case BINARY:
+ result = AMparseSexpr(str);
+ if (result[0]==null) return [AMcreateMmlNode("mo",
+ document.createTextNode(symbol.input)),str,null];
+ result2 = AMparseSexpr(result[1]);
+ if (result2[0]==null) return [AMcreateMmlNode("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 [AMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];
+ case INFIX:
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ return [AMcreateMmlNode("mo",document.createTextNode(symbol.output)),
+ str,symbol.tag];
+ default:
+ return [AMcreateMmlNode(symbol.tag, //its a constant
+ document.createTextNode(symbol.output)),str,symbol.tag];
+ }
+}
+
+function AMparseIexpr(str) {
+ var symbol, sym1, sym2, node, result, tag, underover;
+ str = AMremoveCharsAndBlanks(str,0);
+ sym1 = AMgetSymbol(str);
+ result = AMparseSexpr(str);
+ node = result[0];
+ str = result[1];
+ tag = result[2];
+ symbol = AMgetSymbol(str);
+ if (symbol.ttype == INFIX) {
+ str = AMremoveCharsAndBlanks(str,symbol.input.length);
+ result = AMparseSexpr(str);
+ if (result[0] == null) // show box in place of missing argument
+ result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
+ str = result[1];
+ tag = result[2];
+ if (symbol.input == "_" || symbol.input == "^") {
+ sym2 = AMgetSymbol(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 = AMremoveCharsAndBlanks(str,sym2.input.length);
+ var res2 = AMparseSexpr(str);
+ str = res2[1];
+ tag = res2[2]; // leave space between x_1^2 and a following sin etc.
+ node = AMcreateMmlNode((underover?"munderover":"msubsup"),node);
+ node.appendChild(result[0]);
+ node.appendChild(res2[0]);
+ } else if (symbol.input == "_") {
+ node = AMcreateMmlNode((underover?"munder":"msub"),node);
+ node.appendChild(result[0]);
+ } else {
+ node = AMcreateMmlNode((underover?"mover":"msup"),node);
+ node.appendChild(result[0]);
+ }
+ node = AMcreateMmlNode("mrow",node); // so sum does not stretch
+ } else {
+ node = AMcreateMmlNode(symbol.tag,node);
+ if (symbol.input == "\\atop" || symbol.input == "\\choose")
+ node.setAttribute("linethickness","0ex");
+ node.appendChild(result[0]);
+ if (symbol.input == "\\choose")
+ node = AMcreateMmlNode("mfenced",node);
+ }
+ }
+ return [node,str,tag];
+}
+
+function AMparseExpr(str,rightbracket,matrix) {
+ var symbol, node, result, i, tag,
+ newFrag = document.createDocumentFragment();
+ do {
+ str = AMremoveCharsAndBlanks(str,0);
+ result = AMparseIexpr(str);
+ node = result[0];
+ str = result[1];
+ tag = result[2];
+ symbol = AMgetSymbol(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 = AMcreateElementMathML("mspace");
+ space.setAttribute("width","0.167em");
+ node = AMcreateMmlNode("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 = AMremoveCharsAndBlanks(str,symbol.input.length);
+ symbol = AMgetSymbol(str);
+ if (symbol != null && symbol.input == ".")
+ symbol.invisible = true;
+ if (symbol != null)
+ tag = symbol.rtag;
+ }
+ if (symbol!=null)
+ str = AMremoveCharsAndBlanks(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(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));
+ }
+ return [table,str];
+ }
+ if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
+ node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
+ newFrag.appendChild(node);
+ }
+ }
+ return [newFrag,str,tag];
+}
+
+function AMparseMath(str) {
+ var result, node = AMcreateElementMathML("mstyle");
+ if (mathcolor != "") node.setAttribute("mathcolor",mathcolor);
+ if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily);
+ node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false,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
+ if (mathfontfamily != "" && (isIE || mathfontfamily != "serif")) {
+ var fnode = AMcreateElementXHTML("font");
+ fnode.setAttribute("face",mathfontfamily);
+ fnode.appendChild(node);
+ return fnode;
+ }
+ return node;
+}
+
+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 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," ");
+// 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 (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;
+ } catch(err) {}
+// DELIMITERS:
+ if (st==null || st.indexOf("\$")!=-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;
+ AMinitSymbols();
+ AMbody = document.getElementsByTagName("body")[0];
+ AMprocessNode(AMbody, false, spanclassAM);
+ }
+}
+
+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\"?>");
+}
+
+// GO1.1 Generic onload by Brothercake
+// http://www.brothercake.com/
+//onload function (replaces the onload="translate()" in the <body> tag)
+function generic()
+{
+ translate();
+};
+//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;
+ }
+}