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ede/docs/asciidoc/javascripts/ASCIIMathML.js

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Imported asciidoc, jam builds and some docs.
2007-07-18 17:21:52 +04:00
/*
ASCIIMathML.js
==============
This file contains JavaScript functions to convert ASCII math notation
to Presentation MathML. The conversion is done while the (X)HTML page
loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet
Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/).
Just add the next line to your (X)HTML page with this file in the same folder:
This is a convenient and inexpensive solution for authoring MathML.
Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen
Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js
For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt
If you use it on a webpage, please send the URL to jipsen@chapman.edu
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or (at
your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License (at http://www.gnu.org/copyleft/gpl.html)
for more details.
*/
var checkForMathML = true; // check if browser can display MathML
var notifyIfNoMathML = true; // display note if no MathML capability
var alertIfNoMathML = false; // show alert box if no MathML capability
var mathcolor = ""; // change it to "" (to inherit) or any other color
var mathfontfamily = "serif"; // change to "" to inherit (works in IE)
// or another family (e.g. "arial")
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 AMdelimiter2 = "$", AMescape2 = "\\\\\\$", AMdelimiter2regexp = "\\$";
var doubleblankmathdelimiter = false; // if true, x+1 is equal to `x+1`
// for IE this works only in <!-- -->
//var separatetokens;// has been removed (email me if this is a problem)
var isIE = document.createElementNS==null;
if (document.getElementById==null)
alert("This webpage requires a recent browser such as\
\nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")
// all further global variables start with "AM"
function AMcreateElementXHTML(t) {
if (isIE) return document.createElement(t);
else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
}
function AMnoMathMLNote() {
var nd = AMcreateElementXHTML("h3");
nd.setAttribute("align","center")
nd.appendChild(AMcreateElementXHTML("p"));
nd.appendChild(document.createTextNode("To view the "));
var an = AMcreateElementXHTML("a");
an.appendChild(document.createTextNode("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:"\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 newcommand(oldstr,newstr) {
AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
tex:null, ttype:DEFINITION}]);
}
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
if (mathfontfamily != "" && (isIE || mathfontfamily != "serif")) {
var fnode = AMcreateElementXHTML("font");
fnode.setAttribute("face",mathfontfamily);
fnode.appendChild(node);
return fnode;
}
return node;
}
function AMstrarr2docFrag(arr, linebreaks) {
var newFrag=document.createDocumentFragment();
var expr = false;
for (var i=0; i<arr.length; i++) {
if (expr) newFrag.appendChild(AMparseMath(arr[i]));
else {
var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
newFrag.appendChild(AMcreateElementXHTML("span").
appendChild(document.createTextNode(arri[0])));
for (var j=1; j<arri.length; j++) {
newFrag.appendChild(AMcreateElementXHTML("p"));
newFrag.appendChild(AMcreateElementXHTML("span").
appendChild(document.createTextNode(arri[j])));
}
}
expr = !expr;
}
return newFrag;
}
function AMprocessNodeR(n, linebreaks) {
var mtch, str, arr, frg, i;
if (n.childNodes.length == 0) {
if ((n.nodeType!=8 || linebreaks) &&
n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
str = n.nodeValue;
if (!(str == null)) {
str = str.replace(/\r\n\r\n/g,"\n\n");
if (doubleblankmathdelimiter) {
str = str.replace(/\x20\x20\./g," "+AMdelimiter1+".");
str = str.replace(/\x20\x20,/g," "+AMdelimiter1+",");
str = str.replace(/\x20\x20/g," "+AMdelimiter1+" ");
}
str = str.replace(/\x20+/g," ");
str = str.replace(/\s*\r\n/g," ");
mtch = false;
str = str.replace(new RegExp(AMescape2, "g"),
function(st){mtch=true;return "AMescape2"});
str = str.replace(new RegExp(AMescape1, "g"),
function(st){mtch=true;return "AMescape1"});
str = str.replace(new RegExp(AMdelimiter2regexp, "g"),AMdelimiter1);
arr = str.split(AMdelimiter1);
for (i=0; i<arr.length; i++)
arr[i]=arr[i].replace(/AMescape2/g,AMdelimiter2).
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;
} catch(err) {}
if (st==null ||
st.indexOf(AMdelimiter1)!=-1 || st.indexOf(AMdelimiter2)!=-1)
AMprocessNodeR(n,linebreaks);
}
if (isIE) { //needed to match size and font of formula to surrounding text
frag = document.getElementsByTagName('math');
for (var i=0;i<frag.length;i++) frag[i].update()
}
}
var AMbody;
var AMnoMathML = false, AMtranslated = false;
function translate(spanclassAM) {
if (!AMtranslated) { // run this only once
AMtranslated = true;
AMinitSymbols();
AMbody = document.getElementsByTagName("body")[0];
AMprocessNode(AMbody, false, spanclassAM);
}
}
if (isIE) { // avoid adding MathPlayer info explicitly to each webpage
document.write("<object id=\"mathplayer\"\
classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");
document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");
}
// GO1.1 Generic onload by Brothercake
// http://www.brothercake.com/
//onload function (replaces the onload="translate()" in the <body> tag)
function generic()
{
translate();
};
//setup onload function
if(typeof window.addEventListener != 'undefined')
{
//.. gecko, safari, konqueror and standard
window.addEventListener('load', generic, false);
}
else if(typeof document.addEventListener != 'undefined')
{
//.. opera 7
document.addEventListener('load', generic, false);
}
else if(typeof window.attachEvent != 'undefined')
{
//.. win/ie
window.attachEvent('onload', generic);
}
//** remove this condition to degrade older browsers
else
{
//.. mac/ie5 and anything else that gets this far
//if there's an existing onload function
if(typeof window.onload == 'function')
{
//store it
var existing = onload;
//add new onload handler
window.onload = function()
{
//call existing onload function
existing();
//call generic onload function
generic();
};
}
else
{
//setup onload function
window.onload = generic;
}
}
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