--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/cm/media/js/lib/asciimathtml/ASCIIMathML.js Mon Jan 23 11:14:44 2012 +0100
@@ -0,0 +1,3492 @@
+/*
+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 = true; // false to preserve $..$, $$..$$
+var translateLaTeXformatting = true; // 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,"")+" □"});
+ 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> </p>");
+ st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");
+ st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");
+ st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </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,"□");
+ 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: <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()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"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;
+ }
+}
+
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/cm/media/js/lib/asciimathtml/ASCIIMathML.min.js Mon Jan 23 11:14:44 2012 +0100
@@ -0,0 +1,1 @@
+var mathcolor="blue";var mathfontsize="1em";var mathfontfamily="serif";var automathrecognize=false;var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var translateOnLoad=true;var translateLaTeX=true;var translateLaTeXformatting=true;var translateASCIIMath=true;var translateASCIIsvg=true;var avoidinnerHTML=false;var displaystyle=true;var showasciiformulaonhover=true;var decimalsign=".";var AMdelimiter1="`",AMescape1="\\\\`";var AMdocumentId="wikitext";var checkforprocessasciimathinmoodle=false;var dsvglocation="";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")}function AMcreateElementXHTML(f){if(isIE){return document.createElement(f)}else{return document.createElementNS("http://www.w3.org/1999/xhtml",f)}}function AMnoMathMLNote(){var g=AMcreateElementXHTML("h3");g.setAttribute("align","center");g.appendChild(AMcreateElementXHTML("p"));g.appendChild(document.createTextNode("To view the "));var f=AMcreateElementXHTML("a");f.appendChild(document.createTextNode("ASCIIMathML"));f.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");g.appendChild(f);g.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));f=AMcreateElementXHTML("a");f.appendChild(document.createTextNode("MathPlayer"));f.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");g.appendChild(f);g.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));g.appendChild(AMcreateElementXHTML("p"));return g}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 g=new ActiveXObject("MathPlayer.Factory.1");return null}catch(f){return AMnoMathMLNote()}}else{return AMnoMathMLNote()}}}var AMcal=[61237,8492,61238,61239,8496,8497,61240,8459,8464,61241,61242,8466,8499,61243,61244,61245,61246,8475,61247,61248,61249,61250,61251,61252,61253,61254];var AMfrk=[61277,61278,8493,61279,61280,61281,61282,8460,8465,61283,61284,61285,61286,61287,61288,61289,61290,8476,61291,61292,61293,61294,61295,61296,61297,8488];var AMbbb=[61324,61325,8450,61326,61327,61328,61329,8461,61330,61331,61332,61333,61334,8469,61335,8473,8474,8477,61336,61337,61338,61339,61340,61341,61342,8484];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,LEFTRIGHT=9,TEXT=10;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=[{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},{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},{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},{input:"and",tag:"mtext",output:"and",tex:null,ttype:SPACE},{input:"or",tag:"mtext",output:"or",tex:null,ttyp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switchTo(f){picture=document.getElementById(f);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(g){var f,h,j;if(typeof g=="object"){j=g.id.slice(0,-6)}else{j=(typeof g=="string"?g:"picture"+(g+1))}h=document.getElementById(j+"input").value;xmin=null;xmax=null;ymin=null;ymax=null;xscl=null;xgrid=null;yscl=null;ygrid=null;initialized=false;picture=document.getElementById(j);translateandeval(h)}function 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h=document.getElementById(g+"input");h.style.display=(h.style.display=="none"?"":"none");var h=document.getElementById(g+"button");h.style.display=(h.style.display=="none"?"":"none")}function showcode(){}function setBorder(f){border=f}function initPicture(m,k,h,f){if(!initialized){setdefaults();initialized=true;if(m!=null){xmin=m}if(k!=null){xmax=k}if(h!=null){ymin=h}if(f!=null){ymax=f}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(f!=null&&(typeof h!="number"||typeof f!="number"||h>=f)){alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < 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l=document.getElementById(picture.getAttribute("id")+"mml");if(l!=null){while(l.childNodes.length>0){l.removeChild(l.lastChild)}}}else{var g=document.createElementNS("http://www.w3.org/2000/svg","svg");g.setAttribute("id",picture.getAttribute("id"));g.setAttribute("name",picture.getAttribute("id"));g.setAttribute("style","display:inline");g.setAttribute("width",picture.getAttribute("width"));g.setAttribute("height",picture.getAttribute("height"));picturepos=findPos(picture);g.setAttribute("left",picturepos[0]);g.setAttribute("top",picturepos[1]);if(picture.parentNode!=null){picture.parentNode.replaceChild(g,picture)}else{svgpicture.parentNode.replaceChild(g,svgpicture)}svgpicture=g;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 j=myCreateElementSVG("rect");j.setAttribute("x","0");j.setAttribute("y","0");j.setAttribute("width",width);j.setAttribute("height",height);j.setAttribute("style",backgroundstyle);svgpicture.appendChild(j);svgpicture.setAttribute("onmousemove","displayCoord(evt)");svgpicture.setAttribute("onmouseout","removeCoord(evt)");svgpicture.setAttribute("onclick","mClick(evt)");j=myCreateElementSVG("text");j.appendChild(doc.createTextNode(" "));svgpicture.appendChild(j);border=defaultborder}}}}function line(j,h,k,g){var f;if(k!=null){f=doc.getElementById(k)}if(f==null){f=myCreateElementSVG("path");f.setAttribute("id",k);svgpicture.appendChild(f)}f.setAttribute("d","M"+(j[0]*xunitlength+origin[0])+","+(height-j[1]*yunitlength-origin[1])+" 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h;if(j!=null){h=doc.getElementById(j)}if(h==null){h=myCreateElementSVG("circle");h.setAttribute("id",j);svgpicture.appendChild(h)}h.setAttribute("cx",g[0]*xunitlength+origin[0]);h.setAttribute("cy",height-g[1]*yunitlength-origin[1]);h.setAttribute("r",f*xunitlength);h.setAttribute("stroke-width",strokewidth);h.setAttribute("stroke",stroke);h.setAttribute("fill",fill);h.setAttribute("stroke-opacity",strokeopacity);h.setAttribute("fill-opacity",fillopacity)}function loop(f,g,h){if(g==null){g=[1,0]}path([f,[f[0]+g[0],f[1]+g[1]],[f[0]-g[1],f[1]+g[0]],f],h,"C");if(marker=="arrow"||marker=="arrowdot"){arrowhead([f[0]+Math.cos(1.4)*g[0]-Math.sin(1.4)*g[1],f[1]+Math.sin(1.4)*g[0]+Math.cos(1.4)*g[1]],f)}}function arc(l,g,f,k){var j,h;if(k!=null){j=doc.getElementById(k)}if(f==null){h=[g[0]-l[0],g[1]-l[1]];f=Math.sqrt(h[0]*h[0]+h[1]*h[1])}if(j==null){j=myCreateElementSVG("path");j.setAttribute("id",k);svgpicture.appendChild(j)}j.setAttribute("d","M"+(l[0]*xunitlength+origin[0])+","+(height-l[1]*yunitlength-origin[1])+" A"+f*xunitlength+","+f*yunitlength+" 0 0,0 "+(g[0]*xunitlength+origin[0])+","+(height-g[1]*yunitlength-origin[1]));j.setAttribute("stroke-width",strokewidth);j.setAttribute("stroke",stroke);j.setAttribute("fill",fill);j.setAttribute("stroke-opacity",strokeopacity);j.setAttribute("fill-opacity",fillopacity);if(marker=="arrow"||marker=="arrowdot"){u=[(g[1]-l[1])/4,(l[0]-g[0])/4];h=[(g[0]-l[0])/2,(g[1]-l[1])/2];h=[l[0]+h[0]+u[0],l[1]+h[1]+u[1]]}else{h=[l[0],l[1]]}if(marker=="dot"||marker=="arrowdot"){ASdot(l,markersize,markerstroke,markerfill);if(marker=="arrowdot"){arrowhead(h,g)}ASdot(g,markersize,markerstroke,markerfill)}else{if(marker=="arrow"){arrowhead(h,g)}}}function sector(f,l,g,k){var j=l[0]-f[0],h=l[1]-f[1];arc(l,g,Math.sqrt(j*j+h*h),k+"arc");path([g,f,l],k+"path")}function ellipse(f,j,h,k){var g;if(k!=null){g=doc.getElementById(k)}if(g==null){g=myCreateElementSVG("ellipse");g.setAttribute("id",k);svgpicture.appendChild(g)}g.setAttribute("cx",f[0]*xunitlength+origin[0]);g.setAttribute("cy",height-f[1]*yunitlength-origin[1]);g.setAttribute("rx",j*xunitlength);g.setAttribute("ry",h*yunitlength);g.setAttribute("stroke-width",strokewidth);g.setAttribute("stroke",stroke);g.setAttribute("fill",fill);g.setAttribute("stroke-opacity",strokeopacity);g.setAttribute("fill-opacity",fillopacity)}function triangle(h,g,f,j){path([h,g,f,h],j)}function rect(k,h,l,j,g){var f;if(l!=null){f=doc.getElementById(l)}if(f==null){f=myCreateElementSVG("rect");f.setAttribute("id",l);svgpicture.appendChild(f)}f.setAttribute("x",k[0]*xunitlength+origin[0]);f.setAttribute("y",height-h[1]*yunitlength-origin[1]);f.setAttribute("width",(h[0]-k[0])*xunitlength);f.setAttribute("height",(h[1]-k[1])*yunitlength);if(j!=null){f.setAttribute("rx",j*xunitlength)}if(g!=null){f.setAttribute("ry",g*yunitlength)}f.setAttribute("stroke-width",strokewidth);f.setAttribute("stroke",stroke);f.setAttribute("fill",fill);f.setAttribute("stroke-opacity",strokeopacity);f.setAttribute("fill-opacity",fillopacity)}function text(g,q,l,f,m){var k,j,r=0,o=fontsize/3;if(/(`|\$)/.test(q)){k=document.getElementById(svgpicture.getAttribute("name")+"mml");if(k!=null){if(f!=null){j=document.getElementById(f)}if(j==null){j=myCreateElementXHTML("div");j.setAttribute("id",f);j.style.position="absolute";k.appendChild(j)}while(j.childNodes.length>0){j.removeChild(j.lastChild)}j.appendChild(document.createTextNode(q));j.style.left=""+(g[0]*xunitlength+origin[0])+"px";j.style.top=""+(height-g[1]*yunitlength-origin[1])+"px";if(/`/.test(q)){AMprocessNode(j)}else{LMprocessNode(j)}r=-j.offsetWidth/2;o=-j.offsetHeight/2;if(l!=null){if(/above/.test(l)){o=-j.offsetHeight}if(/below/.test(l)){o=0}if(/right/.test(l)){r=0}if(/left/.test(l)){r=-j.offsetWidth}}j.style.left=""+(g[0]*xunitlength+origin[0]+r)+"px";j.style.top=""+(height-g[1]*yunitlength-origin[1]+o)+"px"}return g}var h="middle";if(l!=null){if(/above/.test(l)){o=-fontsize/2}if(/below/.test(l)){o=fontsize-0}if(/right/.test(l)){h="start";r=fontsize/4}if(/left/.test(l)){h="end";r=-fontsize/4}}if(f!=null){j=doc.getElementById(f)}if(j==null){j=myCreateElementSVG("text");j.setAttribute("id",f);svgpicture.appendChild(j);j.appendChild(doc.createTextNode(q))}while(j.childNodes.length>1){j.removeChild(j.lastChild)}j.lastChild.nodeValue="\xA0"+q+"\xA0";j.setAttribute("x",g[0]*xunitlength+origin[0]+r);j.setAttribute("y",height-g[1]*yunitlength-origin[1]+o);j.setAttribute("font-style",(m!=null?m:(q.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));j.setAttribute("font-family",fontfamily);j.setAttribute("font-size",fontsize);j.setAttribute("font-weight",fontweight);j.setAttribute("text-anchor",h);if(fontstroke!="none"){j.setAttribute("stroke",fontstroke)}if(fontfill!="none"){j.setAttribute("fill",fontfill)}return g}function mtext(l,h,o,m){var j="middle";var g=0;var f=fontsize/3;if(o!=null){if(o.slice(0,5)=="above"){f=-fontsize/2}if(o.slice(0,5)=="below"){f=fontsize-0}if(o.slice(0,5)=="right"||o.slice(5,10)=="right"){j="start";g=fontsize/2}if(o.slice(0,4)=="left"||o.slice(5,9)=="left"){j="end";g=-fontsize/2}}var k=this;if(this.nodeName=="svg"){k=myCreateElementSVG("text");this.appendChild(k);k.appendChild(doc.createTextNode(h))}k.lastChild.nodeValue=h;k.setAttribute("x",l[0]+g);k.setAttribute("y",l[1]+f);k.setAttribute("font-style",(m!=null?m:fontstyle));k.setAttribute("font-family",fontfamily);k.setAttribute("font-size",fontsize);k.setAttribute("font-weight",fontweight);k.setAttribute("text-anchor",j);if(fontstroke!="none"){k.setAttribute("stroke",fontstroke)}if(fontfill!="none"){k.setAttribute("fill",fontfill)}}function image(g,l,f,j,m){var k;if(m!=null){k=doc.getElementById(m)}if(k==null){k=myCreateElementSVG("image");k.setAttribute("id",m);svgpicture.appendChild(k)}k.setAttribute("x",l[0]*xunitlength+origin[0]);k.setAttribute("y",height-l[1]*yunitlength-origin[1]);k.setAttribute("width",f);k.setAttribute("height",j);k.setAttribute("xlink:href",g)}function ASdot(h,g,j,l){if(j==null){j=stroke}if(l==null){l=fill}var k=myCreateElementSVG("circle");k.setAttribute("cx",h[0]*xunitlength+origin[0]);k.setAttribute("cy",height-h[1]*yunitlength-origin[1]);k.setAttribute("r",g);k.setAttribute("stroke-width",strokewidth);k.setAttribute("stroke",j);k.setAttribute("fill",l);svgpicture.appendChild(k)}function dot(g,k,h,o,m){var j;var f=g[0]*xunitlength+origin[0];var l=height-g[1]*yunitlength-origin[1];if(m!=null){j=doc.getElementById(m)}if(k=="+"||k=="-"||k=="|"){if(j==null){j=myCreateElementSVG("path");j.setAttribute("id",m);svgpicture.appendChild(j)}if(k=="+"){j.setAttribute("d"," M "+(f-ticklength)+" "+l+" L "+(f+ticklength)+" "+l+" 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o=Math.sqrt(j[0]*j[0]+j[1]*j[1]);if(o>1e-8){j=[j[0]/o,j[1]/o];f=[-j[1],j[0]];var k=myCreateElementSVG("path");k.setAttribute("d","M "+(g[0]-15*j[0]-4*f[0])+" "+(g[1]-15*j[1]-4*f[1])+" L "+(g[0]-3*j[0])+" "+(g[1]-3*j[1])+" L "+(g[0]-15*j[0]+4*f[0])+" "+(g[1]-15*j[1]+4*f[1])+" z");k.setAttribute("stroke-width",markerstrokewidth);k.setAttribute("stroke",stroke);k.setAttribute("fill",stroke);k.setAttribute("stroke-opacity",strokeopacity);k.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(k)}}function chopZ(g){var f=g.indexOf(".");if(f==-1){return g}for(var h=g.length-1;h>f&&g.charAt(h)=="0";h--){}if(h==f){h--}return g.slice(0,h+1)}function grid(g,f){axes(g,f,null,g,f)}function noaxes(){if(!initialized){initPicture()}}function axes(dx,dy,labels,gdx,gdy){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);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",0.5);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",0.5);pnode.setAttribute("stroke",axesstroke);pnode.setAttribute("fill",fill);pnode.setAttribute("stroke-opacity",strokeopacity);pnode.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(pnode)}function mathjs(h){h=h.replace(/\s/g,"");if(h.indexOf("^-1")!=-1){h=h.replace(/sin\^-1/g,"arcsin");h=h.replace(/cos\^-1/g,"arccos");h=h.replace(/tan\^-1/g,"arctan");h=h.replace(/sec\^-1/g,"arcsec");h=h.replace(/csc\^-1/g,"arccsc");h=h.replace(/cot\^-1/g,"arccot");h=h.replace(/sinh\^-1/g,"arcsinh");h=h.replace(/cosh\^-1/g,"arccosh");h=h.replace(/tanh\^-1/g,"arctanh");h=h.replace(/sech\^-1/g,"arcsech");h=h.replace(/csch\^-1/g,"arccsch");h=h.replace(/coth\^-1/g,"arccoth")}h=h.replace(/^e$/g,"(Math.E)");h=h.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");h=h.replace(/([^a-zA-Z])e/g,"$1(Math.E)");h=h.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");h=h.replace(/\)([\(0-9a-zA-Z])/g,")*$1");var l,g,f,m,o;while((l=h.indexOf("^"))!=-1){if(l==0){return"Error: missing argument"}g=l-1;m=h.charAt(g);if(m>="0"&&m<="9"){g--;while(g>=0&&(m=h.charAt(g))>="0"&&m<="9"){g--}if(m=="."){g--;while(g>=0&&(m=h.charAt(g))>="0"&&m<="9"){g--}}}else{if(m==")"){o=1;g--;while(g>=0&&o>0){m=h.charAt(g);if(m=="("){o--}else{if(m==")"){o++}}g--}while(g>=0&&(m=h.charAt(g))>="a"&&m<="z"||m>="A"&&m<="Z"){g--}}else{if(m>="a"&&m<="z"||m>="A"&&m<="Z"){g--;while(g>=0&&(m=h.charAt(g))>="a"&&m<="z"||m>="A"&&m<="Z"){g--}}else{return"Error: incorrect syntax in "+h+" at position "+g}}}if(l==h.length-1){return"Error: missing argument"}f=l+1;m=h.charAt(f);if(m>="0"&&m<="9"||m=="-"){f++;while(f<h.length&&(m=h.charAt(f))>="0"&&m<="9"){f++}if(m=="."){f++;while(f<h.length&&(m=h.charAt(f))>="0"&&m<="9"){f++}}}else{if(m=="("){o=1;f++;while(f<h.length&&o>0){m=h.charAt(f);if(m=="("){o++}else{if(m==")"){o--}}f++}}else{if(m>="a"&&m<="z"||m>="A"&&m<="Z"){f++;while(f<h.length&&(m=h.charAt(f))>="a"&&m<="z"||m>="A"&&m<="Z"){f++}}else{return"Error: incorrect syntax in "+h+" at position "+f}}}h=h.slice(0,g+1)+"Math.pow("+h.slice(g+1,l)+","+h.slice(l+1,f)+")"+h.slice(f)}while((l=h.indexOf("!"))!=-1){if(l==0){return"Error: missing argument"}g=l-1;m=h.charAt(g);if(m>="0"&&m<="9"){g--;while(g>=0&&(m=h.charAt(g))>="0"&&m<="9"){g--}if(m=="."){g--;while(g>=0&&(m=h.charAt(g))>="0"&&m<="9"){g--}}}else{if(m==")"){o=1;g--;while(g>=0&&o>0){m=h.charAt(g);if(m=="("){o--}else{if(m==")"){o++}}g--}while(g>=0&&(m=h.charAt(g))>="a"&&m<="z"||m>="A"&&m<="Z"){g--}}else{if(m>="a"&&m<="z"||m>="A"&&m<="Z"){g--;while(g>=0&&(m=h.charAt(g))>="a"&&m<="z"||m>="A"&&m<="Z"){g--}}else{return"Error: incorrect syntax in "+h+" at position "+g}}}h=h.slice(0,g+1)+"factorial("+h.slice(g+1,l)+")"+h.slice(l+1)}return h}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 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displayCoord(g){if(showcoordinates){var j=g.target.parentNode;var f=j.childNodes;for(var h=0;h<f.length&&f.item(h).nodeName!="text";h++){}var k=f.item(h);k.mtext=mtext;k.mtext([j.getAttribute("width")-0,j.getAttribute("height")-0],"("+getX(g).toFixed(2)+", "+getY(g).toFixed(2)+")","aboveleft","")}}function removeCoord(g){var j=g.target.parentNode;var f=j.childNodes;for(var h=0;h<f.length&&f.item(h).nodeName!="text";h++){}var k=f.item(h);k.mtext=mtext;k.mtext([j.getAttribute("width")-0,j.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"}}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(f){document.getElementById("in").value+=f;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: <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()"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick="append(\'pi\')"> `pi` </button></td>\n<td><button onclick="append(\'sin(\')"> `sin`</button></td>\n<td><button onclick="append(\'cos(\')"> `cos`</button></td>\n<td><button onclick="append(\'tan(\')"> `tan`</button></td>\n<td><button onclick="append(\'^\')">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick="append(\'!\')"> `!` </button></td>\n\n<td><button onclick="append(\'(\')"><font size=2> `(` </font></button></td>\n<td><button onclick="append(\')\')"><font size=2> `)` </font></button></td>\n<td><button onclick="append(\'sqrt(\')"><font size=2>`sqrt({::}^ )`</font></button></td>\n<td><button onclick="append(\'/\')"> `-: `</button></td>\n</tr>\n<tr>\n<td><button onclick="append(\'log(\')">`log`</button></td>\n<td><button onclick="append(\'7\')"> `7` </button></td>\n<td><button onclick="append(\'8\')"> `8` </button></td>\n\n<td><button onclick="append(\'9\')"> `9` </button></td>\n<td><button onclick="append(\'*\')"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick="append(\'ln(\')"> `ln` </button></td>\n<td><button onclick="append(\'4\')"> `4` </button></td>\n<td><button onclick="append(\'5\')"> `5` </button></td>\n<td><button onclick="append(\'6\')"> `6` </button></td>\n\n<td><button onclick="append(\'-\')"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick="append(\'e\')"> `e` </button></td>\n<td><button onclick="append(\'1\')"> `1` </button></td>\n<td><button onclick="append(\'2\')"> `2` </button></td>\n<td><button onclick="append(\'3\')"> `3` </button></td>\n<td><button onclick="append(\'+\')"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick="append(\'pi\')"> `pi` </button--></td>\n<td><button onclick="append(\'0\')"> `0` </button></td>\n<td><button onclick="append(\'.\')"> `.` </button></td>\n<td><button onclick="append(\'\\n\')"> `"ent"`</button></td>\n</tr>\n</tbody>\n</table>';function generic(){if(translateOnLoad){var g=document.getElementById("processasciimathinmoodle");if(g!=null){dsvglocation=g.className}if(g!=null||!checkforprocessasciimathinmoodle){if(translateLaTeX){LMtranslate()}if(translateASCIIMath){translate()}if(translateASCIIsvg){drawPictures()}}var f=getElementsByClass(document,"div","ASCIIMathCalculator");if(f.length>0){initASCIIMathCalculators(f)}}}if(typeof 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