aboutsummaryrefslogtreecommitdiff
path: root/data/ASCIIMathML.js
diff options
context:
space:
mode:
Diffstat (limited to 'data/ASCIIMathML.js')
-rw-r--r--data/ASCIIMathML.js3363
1 files changed, 0 insertions, 3363 deletions
diff --git a/data/ASCIIMathML.js b/data/ASCIIMathML.js
deleted file mode 100644
index ddb2604e2..000000000
--- a/data/ASCIIMathML.js
+++ /dev/null
@@ -1,3363 +0,0 @@
-/*
-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 2.0.9 Nov 3, 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)
-Extensive clean-up and improvements by Paulo Soares, Oct 2007.
-
-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 = ""; // 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;
-var noMathML = false, translated = false;
-
-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\"?>");
-}
-
-// Add a stylesheet, replacing any previous custom stylesheet (adapted from TW)
-function setStylesheet(s) {
- var id = "AMMLcustomStyleSheet";
- var n = document.getElementById(id);
- if(document.createStyleSheet) {
- // Test for IE's non-standard createStyleSheet method
- if(n)
- n.parentNode.removeChild(n);
- // This failed without the &nbsp;
- document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd","&nbsp;<style id='" + id + "'>" + s + "</style>");
- } else {
- if(n) {
- n.replaceChild(document.createTextNode(s),n.firstChild);
- } else {
- n = document.createElement("style");
- n.type = "text/css";
- n.id = id;
- n.appendChild(document.createTextNode(s));
- document.getElementsByTagName("head")[0].appendChild(n);
- }
- }
-}
-
-setStylesheet("#AMMLcloseDiv \{font-size:0.8em; padding-top:1em; color:#014\}\n#AMMLwarningBox \{position:absolute; width:100%; top:0; left:0; z-index:200; text-align:center; font-size:1em; font-weight:bold; padding:0.5em 0 0.5em 0; color:#ffc; background:#c30\}");
-
-function init(){
- var msg, warnings = new Array();
- if (document.getElementById==null){
- alert("This webpage requires a recent browser such as Mozilla Firefox/Netscape 7+ or Internet Explorer 6+ with MathPlayer and Adobe SVGviewer");
- return null;
- }
- if (checkForMathML && (msg = checkMathML())) warnings.push(msg);
- if (checkIfSVGavailable && (msg = checkSVG())) warnings.push(msg);
- if (warnings.length>0) displayWarnings(warnings);
- if (!noMathML) initSymbols();
- return true;
-}
-
-function checkMathML(){
- if (navigator.appName.slice(0,8)=="Netscape")
- if (navigator.appVersion.slice(0,1)>="5") noMathML = null;
- else noMathML = true;
- else if (navigator.appName.slice(0,9)=="Microsoft")
- try {
- var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
- noMathML = null;
- } catch (e) {
- noMathML = true;
- }
- else noMathML = true;
-//noMathML = true; //uncomment to check
- if (noMathML && notifyIfNoMathML) {
- var msg = "To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";
- if (alertIfNoMathML)
- alert(msg);
- else return msg;
- }
-}
-
-function hideWarning(){
- var body = document.getElementsByTagName("body")[0];
- body.removeChild(document.getElementById('AMMLwarningBox'));
- body.onclick = null;
-}
-
-function displayWarnings(warnings) {
- var i, frag, nd = createElementXHTML("div");
- var body = document.getElementsByTagName("body")[0];
- body.onclick=hideWarning;
- nd.id = 'AMMLwarningBox';
- for (i=0; i<warnings.length; i++) {
- frag = createElementXHTML("div");
- frag.appendChild(document.createTextNode(warnings[i]));
- frag.style.paddingBottom = "1.0em";
- nd.appendChild(frag);
- }
- nd.appendChild(createElementXHTML("p"));
- nd.appendChild(document.createTextNode("For instructions see the "));
- var an = createElementXHTML("a");
- an.appendChild(document.createTextNode("ASCIIMathML"));
- an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");
- nd.appendChild(an);
- nd.appendChild(document.createTextNode(" homepage"));
- an = createElementXHTML("div");
- an.id = 'AMMLcloseDiv';
- an.appendChild(document.createTextNode('(click anywhere to close this warning)'));
- nd.appendChild(an);
- var body = document.getElementsByTagName("body")[0];
- body.insertBefore(nd,body.childNodes[0]);
-}
-
-function translate(spanclassAM) {
- if (!translated) { // run this only once
- translated = true;
- var body = document.getElementsByTagName("body")[0];
- var processN = document.getElementById(AMdocumentId);
- if (translateLaTeX) LMprocessNode((processN!=null?processN:body));
- if (translateASCIIMath) AMprocessNode((processN!=null?processN:body), false, spanclassAM);
- }
-}
-
-function createElementXHTML(t) {
- if (isIE) return document.createElement(t);
- else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
-}
-
-function createMmlNode(t,frag) {
- if (isIE) var node = document.createElement("m:"+t);
- else var node = document.createElementNS("http://www.w3.org/1998/Math/MathML",t);
- if (frag) node.appendChild(frag);
- return node;
-}
-
-// 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, BIG = 11, LONG = 12, STRETCHY = 13,
- MATRIX = 14;; // token types
-
-var 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:"\u21A3", tex:"rightarrowtail", ttype:CONST},
-{input:"->>", tag:"mo", output:"\u21A0", tex:"twoheadrightarrow", ttype:CONST},
-{input:">->>", tag:"mo", output:"\u2916", tex:"twoheadrightarrowtail", 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
-{input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
-{input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
-{input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},
-{input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},
-{input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
-{input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},
-{input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},
-{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},
-{input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
-{input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
-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 initSymbols() {
- 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);
- refreshSymbols();
-}
-
-function refreshSymbols(){
- var i;
- AMsymbols.sort(compareNames);
- for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
- LMsymbols.sort(compareNames);
- for (i=0; i<LMsymbols.length; i++) LMnames[i] = LMsymbols[i].input;
-}
-
-function define(oldstr,newstr) {
- if(oldstr.substr(0,1)=="\\")
- LMsymbols = LMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
- ttype:DEFINITION}]);
- else
- AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
- tex:null, ttype:DEFINITION}]);
- refreshSymbols(); // this may be a problem if many symbols are defined!
-}
-
-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 position(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 = position(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 [createMmlNode(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 = createMmlNode("mrow",result[0]);
- else {
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- node = createMmlNode("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 = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- }
- newFrag.appendChild(
- createMmlNode(symbol.tag,document.createTextNode(st)));
- if (st.charAt(st.length-1) == " ") {
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- }
- str = AMremoveCharsAndBlanks(str,i+1);
- return [createMmlNode("mrow",newFrag),str];
- case UNARY:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- result = AMparseSexpr(str);
- if (result[0]==null) return [createMmlNode(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 [createMmlNode(symbol.tag,
- document.createTextNode(symbol.output)),str];
- } else {
- node = createMmlNode("mrow",
- createMmlNode(symbol.tag,document.createTextNode(symbol.output)));
- node.appendChild(result[0]);
- return [node,result[1]];
- }
- }
- AMremoveBrackets(result[0]);
- if (symbol.input == "sqrt") { // sqrt
- return [createMmlNode(symbol.tag,result[0]),result[1]];
- } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
- node = createMmlNode(symbol.tag,result[0]);
- node.appendChild(createMmlNode("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]=createMmlNode("mo").
- appendChild(document.createTextNode(newst));
- else result[0].replaceChild(createMmlNode("mo").
- appendChild(document.createTextNode(newst)),
- result[0].childNodes[i]);
- }
- }
- node = createMmlNode(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 [createMmlNode("mo",
- document.createTextNode(symbol.input)),str];
- AMremoveBrackets(result[0]);
- var result2 = AMparseSexpr(result[1]);
- if (result2[0]==null) return [createMmlNode("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 [createMmlNode(symbol.tag,newFrag),result2[1]];
- case INFIX:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode("mo",document.createTextNode(symbol.output)),str];
- case SPACE:
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- newFrag.appendChild(
- createMmlNode(symbol.tag,document.createTextNode(symbol.output)));
- node = createMmlNode("mspace");
- node.setAttribute("width","1ex");
- newFrag.appendChild(node);
- return [createMmlNode("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 = createMmlNode("mo",document.createTextNode(symbol.output));
- node = createMmlNode("mrow",node);
- node.appendChild(result[0]);
- return [node,result[1]];
- } else { // the "|" is a \mid so use unicode 2223 (divides) for spacing
- node = createMmlNode("mo",document.createTextNode("\u2223"));
- node = createMmlNode("mrow",node);
- return [node,str];
- }
- default:
-//alert("default");
- str = AMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode(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] = createMmlNode("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 = createMmlNode((underover?"munderover":"msubsup"),node);
- node.appendChild(result[0]);
- node.appendChild(res2[0]);
- node = createMmlNode("mrow",node); // so sum does not stretch
- } else {
- node = createMmlNode((underover?"munder":"msub"),node);
- node.appendChild(result[0]);
- }
- } else {
- node = createMmlNode(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] = createMmlNode("mo",document.createTextNode("\u25A1"));
- else AMremoveBrackets(result[0]);
- str = result[1];
- AMremoveBrackets(node);
- node = createMmlNode(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(createMmlNode("mtd",frag));
- k++;
- } else frag.appendChild(node.firstChild);
- }
- row.appendChild(createMmlNode("mtd",frag));
- if (newFrag.childNodes.length>2) {
- newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow>
- newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo>
- }
- table.appendChild(createMmlNode("mtr",row));
- }
- node = createMmlNode("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 = createMmlNode("mo",document.createTextNode(symbol.output));
- newFrag.appendChild(node);
- }
- }
- return [newFrag,str];
-}
-
-function parseMath(str,latex) {
- var frag, node;
- AMnestingDepth = 0;
- frag = latex ? LMparseExpr(str.replace(/^\s+/g,""),false,false)[0] : AMparseExpr(str.replace(/^\s+/g,""),false)[0];
- node = createMmlNode("mstyle",frag);
- node.setAttribute("mathcolor",mathcolor);
- node.setAttribute("fontfamily",mathfontfamily);
- node.setAttribute("mathsize",mathfontsize);
- if (displaystyle) node.setAttribute("displaystyle","true");
- node = createMmlNode("math",node);
- if (showasciiformulaonhover) //fixed by djhsu so newline
- node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
- return node;
-}
-
-function strarr2docFrag(arr, linebreaks, latex) {
- var newFrag=document.createDocumentFragment();
- var expr = false;
- for (var i=0; i<arr.length; i++) {
- if (expr) newFrag.appendChild(parseMath(arr[i],latex));
- else {
- var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
- newFrag.appendChild(createElementXHTML("span").
- appendChild(document.createTextNode(arri[0])));
- for (var j=1; j<arri.length; j++) {
- newFrag.appendChild(createElementXHTML("p"));
- newFrag.appendChild(createElementXHTML("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(/((^|\s)\([a-zA-Z]{2,}.*?)\)`/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|i.e)`(\.?)/gi,"$1$2");
- str = str.replace(/`([0-9.]+:)`/g,"$1");
- return str;
-}
-
-function processNodeR(n, linebreaks,latex) {
- 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," ");
- if(latex) {
-// 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,"\$");
- } else {
- 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\b|\\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 (!noMathML) {
- frg = strarr2docFrag(arr,n.nodeType==8,latex);
- 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 += processNodeR(n.childNodes[i], linebreaks,latex);
- }
- 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")
- processNodeR(frag[i],linebreaks,false);
- } else {
- try {
- st = n.innerHTML; // look for AMdelimiter on page
- } catch(err) {}
-//alert(st)
- if (st==null || /amath\b|\\begin{a?math}/i.test(st) ||
- st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 ||
- st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) {
- processNodeR(n,linebreaks,false);
- }
- }
-/* 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() //What is this?
- }*/
-}
-
-/*
-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
-*/
-
-// all further global variables start with "LM"
-
-// 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:"\\implies", 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
-
-{input:"\\sqrt", tag:"msqrt", output:"sqrt", ttype:UNARY},
-{input:"\\root", tag:"mroot", output:"root", ttype:BINARY},
-{input:"\\frac", tag:"mfrac", output:"/", ttype:BINARY},
-{input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY},
-{input:"\\atop", tag:"mfrac", output:"", ttype:INFIX},
-{input:"\\choose", tag:"mfrac", output:"", ttype:INFIX},
-{input:"_", tag:"msub", output:"_", ttype:INFIX},
-{input:"^", tag:"msup", output:"^", ttype:INFIX},
-{input:"\\mathrm", tag:"mtext", output:"text", ttype:TEXT},
-{input:"\\mbox", tag:"mtext", output:"mbox", ttype:TEXT},
-
-//diacritical marks
-{input:"\\acute", tag:"mover", output:"\u00B4", ttype:UNARY, acc:true},
-//{input:"\\acute", tag:"mover", output:"\u0317", ttype:UNARY, acc:true},
-//{input:"\\acute", tag:"mover", output:"\u0301", ttype:UNARY, acc:true},
-//{input:"\\grave", tag:"mover", output:"\u0300", ttype:UNARY, acc:true},
-//{input:"\\grave", tag:"mover", output:"\u0316", ttype:UNARY, acc:true},
-{input:"\\grave", tag:"mover", output:"\u0060", ttype:UNARY, acc:true},
-{input:"\\breve", tag:"mover", output:"\u02D8", ttype:UNARY, acc:true},
-{input:"\\check", tag:"mover", output:"\u02C7", ttype:UNARY, acc:true},
-{input:"\\dot", tag:"mover", output:".", ttype:UNARY, acc:true},
-{input:"\\ddot", tag:"mover", output:"..", ttype:UNARY, acc:true},
-//{input:"\\ddot", tag:"mover", output:"\u00A8", ttype:UNARY, acc:true},
-{input:"\\mathring", tag:"mover", output:"\u00B0", ttype:UNARY, acc:true},
-{input:"\\vec", tag:"mover", output:"\u20D7", ttype:UNARY, acc:true},
-{input:"\\overrightarrow",tag:"mover",output:"\u20D7", ttype:UNARY, acc:true},
-{input:"\\overleftarrow",tag:"mover", output:"\u20D6", ttype:UNARY, acc:true},
-{input:"\\hat", tag:"mover", output:"\u005E", ttype:UNARY, acc:true},
-{input:"\\widehat", tag:"mover", output:"\u0302", ttype:UNARY, acc:true},
-{input:"\\tilde", tag:"mover", output:"~", ttype:UNARY, acc:true},
-//{input:"\\tilde", tag:"mover", output:"\u0303", ttype:UNARY, acc:true},
-{input:"\\widetilde", tag:"mover", output:"\u02DC", ttype:UNARY, acc:true},
-{input:"\\bar", tag:"mover", output:"\u203E", ttype:UNARY, acc:true},
-{input:"\\overbrace", tag:"mover", output:"\u23B4", ttype:UNARY, acc:true},
-{input:"\\overline", tag:"mover", output:"\u00AF", ttype:UNARY, acc:true},
-{input:"\\underbrace", tag:"munder", output:"\u23B5", ttype:UNARY, acc:true},
-{input:"\\underline", tag:"munder", output:"\u00AF", ttype:UNARY, acc:true},
-//{input:"underline", tag:"munder", output:"\u0332", ttype:UNARY, acc:true},
-
-//typestyles and fonts
-{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true", ttype:UNARY},
-{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false", ttype:UNARY},
-{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1", ttype:UNARY},
-{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2", ttype:UNARY},
-{input:"\\textrm", tag:"mstyle", output:"\\mathrm", ttype: DEFINITION},
-{input:"\\mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
-{input:"\\textbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},
-{input:"\\mathit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
-{input:"\\textit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},
-{input:"\\mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
-{input:"\\texttt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},
-{input:"\\mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", ttype:UNARY},
-{input:"\\mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", ttype:UNARY, codes:AMbbb},
-{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:AMcal},
-{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",ttype:UNARY, codes:AMfrk}
-];
-
-var LMnames = []; //list of input symbols
-
-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 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 = position(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 = createMmlNode(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 [createMmlNode(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 = createMmlNode(symbol.tag,document.createTextNode(output));
- return [node,str,symbol.tag];
- case LONG: // added by DRW
- node = createMmlNode(symbol.tag,document.createTextNode(symbol.output));
- node.setAttribute("minsize","1.5");
- node.setAttribute("maxsize","1.5");
- node = createMmlNode("mover",node);
- node.appendChild(createMmlNode("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 = createMmlNode(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 = createMmlNode(symbol.tag,document.createTextNode(symbol.output));
- if (isIE) { // to get brackets to expand
- var space = createMmlNode("mspace");
- space.setAttribute("height",atval+"ex");
- node = createMmlNode("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 = createMmlNode("mrow",result[0]);
- else {
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- node = createMmlNode("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 [createMmlNode("mo",
-// document.createTextNode(symbol.input)),str];
- node = createMmlNode("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 = createMmlNode("mspace");
- lspace.setAttribute("width","0.167em");
- var rspace = createMmlNode("mspace");
- rspace.setAttribute("width","0.167em");
- var node1 = createMmlNode("mrow",lspace);
- node1.appendChild(node);
- node1.appendChild(rspace);
- return [node1,result[1],null];
- } else { // eqnarray
- result = LMparseExpr("{"+str,true,true);
- node = createMmlNode("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 = createMmlNode("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 = createMmlNode("mspace");
- node.setAttribute("width","0.33em"); // was 1ex
- newFrag.appendChild(node);
- }
- newFrag.appendChild(
- createMmlNode(symbol.tag,document.createTextNode(st)));
- if (st.charAt(st.length-1) == " ") {
- node = createMmlNode("mspace");
- node.setAttribute("width","0.33em"); // was 1ex
- newFrag.appendChild(node);
- }
- str = LMremoveCharsAndBlanks(str,i+1);
- return [createMmlNode("mrow",newFrag),str,null];
- case UNARY:
- result = LMparseSexpr(str);
- if (result[0]==null) return [createMmlNode(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 [createMmlNode(symbol.tag,
- document.createTextNode(symbol.output)),str,symbol.tag];
- } else {
- node = createMmlNode("mrow",
- createMmlNode(symbol.tag,document.createTextNode(symbol.output)));
- if (isIE) {
- var space = createMmlNode("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 = createMmlNode("mspace");
- space.setAttribute("height","1.2ex");
- space.setAttribute("width","0em"); // probably no effect
- node = createMmlNode(symbol.tag,result[0])
-// node.setAttribute("minsize","1"); // ignored
-// node = createMmlNode("mrow",node); // hopefully unnecessary
- node.appendChild(space);
- return [node,result[1],symbol.tag];
- } else
- return [createMmlNode(symbol.tag,result[0]),result[1],symbol.tag];
- } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
- node = createMmlNode(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 = createMmlNode("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]=createMmlNode("mo").
- appendChild(document.createTextNode(newst));
- else result[0].replaceChild(createMmlNode("mo").
- appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
- }
- }
- node = createMmlNode(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 [createMmlNode("mo",
- document.createTextNode(symbol.input)),str,null];
- result2 = LMparseSexpr(result[1]);
- if (result2[0]==null) return [createMmlNode("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 [createMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];
- case INFIX:
- str = LMremoveCharsAndBlanks(str,symbol.input.length);
- return [createMmlNode("mo",document.createTextNode(symbol.output)),
- str,symbol.tag];
- default:
- return [createMmlNode(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] = createMmlNode("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 = createMmlNode((underover?"munderover":"msubsup"),node);
- node.appendChild(result[0]);
- node.appendChild(res2[0]);
- } else if (symbol.input == "_") {
- node = createMmlNode((underover?"munder":"msub"),node);
- node.appendChild(result[0]);
- } else {
- node = createMmlNode((underover?"mover":"msup"),node);
- node.appendChild(result[0]);
- }
- node = createMmlNode("mrow",node); // so sum does not stretch
- } else {
- node = createMmlNode(symbol.tag,node);
- if (symbol.input == "\\atop" || symbol.input == "\\choose")
- node.setAttribute("linethickness","0ex");
- node.appendChild(result[0]);
- if (symbol.input == "\\choose")
- node = createMmlNode("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 = createMmlNode("mspace");
- space.setAttribute("width","0.167em");
- node = createMmlNode("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(createMmlNode("mtd",frag));
- k++;
- } else frag.appendChild(node.firstChild);
- }
- row.appendChild(createMmlNode("mtd",frag));
- if (newFrag.childNodes.length>2) {
- newFrag.removeChild(newFrag.firstChild); //remove <mrow> </mrow>
- newFrag.removeChild(newFrag.firstChild); //remove <mo>&</mo>
- }
- table.appendChild(createMmlNode("mtr",row));
- }
- return [table,str];
- }
- if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
- node = createMmlNode("mo",document.createTextNode(symbol.output));
- newFrag.appendChild(node);
- }
- }
- return [newFrag,str,tag];
-}
-
-var tcnt = 0, dcnt = 0; //theorem and definition counters
-
-function simpleLaTeXformatting(st) {
- st = st.replace(/\$\$((.|\n)*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");
- st = st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"});
- st = st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")});
- st = st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return "<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" &#x25A1;"});
- st = st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");
- st = st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");
- st = st.replace(/\\cite{(.*?)}/g,"[$1]");
- st = st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");
- st = st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");
- st = st.replace(/\\subsection{((.|\n)*?)}/g,"<h4>$1</h4>");
- st = st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");
- st = st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");
- st = st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");
- st = st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");
- st = st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");
- st = st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");
- st = st.replace(/\\begin{description}/g,"<dl>");
- st = st.replace(/\\end{description}/g,"</dl>");
- st = st.replace(/\\newline\b/g,"<br/>");
- st = st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");
- st = st.replace(/\\par\b/g,"<p>&nbsp;</p>");
- st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\">&nbsp;</p>");
- st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\">&nbsp;</p>");
- st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\">&nbsp;</p>");
- st = st.replace(/\\begin{center}((.|\n)*?)\\end{center}/g,"<center>$1</center>");
- return st
-}
-
-function ASCIIandgraphformatting(st) {
- st = st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");
-//st = st.replace(/<\/?font.*?>/gi,""); // do this only in amath...endamath
- st = st.replace(/(Proof:)/g,"<i>$1</i>");
- st = st.replace(/QED/g,"&nbsp; &nbsp; &#x25A1;");
- st = st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");
- st = st.replace(/(\bamath\b|\\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|\s|-|\.)*?\W?:)/g,"$1<b>$2$3</b>");
- st = st.replace(/<embed\s+class\s?=\s?"?ASCIIsvg"?/gi,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");
- st = st.replace(/(?:\\begin{a?graph}|\bagraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return "<table><tr><td><div class=\"ASCIIsvg\"><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div></td></tr></table>"});
- st = st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");
-//alert(dsvglocation)
- return st
-}
-
-function LMprocessNode(n) {
- var frag,st;
- try {
- st = n.innerHTML;
- } catch(err) {}
- var am = /amath\b|graph/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|wpTextbox1/.test(st)){
- if (!avoidinnerHTML && translateLaTeXformatting)
- st = simpleLaTeXformatting(st);
- if (st!=null && am && !avoidinnerHTML) {
- st = ASCIIandgraphformatting(st);
- }
- st = st.replace(/%7E/g,"~"); // else PmWiki has url issues
-//alert(st)
- if (!avoidinnerHTML) n.innerHTML = st;
- processNodeR(n,false,true);
- }
-/* 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() //is this really needed?
- }*/
-}
-
-/* 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;
-var noSVG = 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;
-var isIE = document.createElementNS==null;
-
-//this is not used! 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 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 showobj(obj) {
- var st="", i;
- for (i in obj)
- st += (obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));
- return st;
-}
-
-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
-//alert(showobj(obj)+[curleft,curtop])
- }
- }
- return [curleft,curtop];
-}
-
-function checkSVG(){
- if (navigator.appName.slice(0,8)=="Netscape")
- if (window['SVGElement']) noSVG = null;
- else noSVG = true;
- else if (navigator.appName.slice(0,9)=="Microsoft")
- try {
- var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");
- noSVG = null;
- } catch (e) {
- noSVG = true;
- }
- else if (navigator.appName.slice(0,5)=="Opera") // works only for 9.50b1
- noSVG = null;
- else noSVG = true;
-//noSVG = true; //uncomment to check
- if (noSVG && notifyIfNoSVG) {
- var msg = "To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later."
- if (alertIfNoSVG)
- alert(msg);
- else return msg;
- }
-}
-
-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;
- pos = findPos(svgroot.parentNode);
- return (evt.clientX+(isIE?0:window.pageXOffset)-pos[0]-svgroot.getAttribute("ox"))/parseFloat(svgroot.getAttribute("xunitlength"));
-}
-
-function getY(evt) { // return mouse y-coord in user coordinate system
- var svgroot = evt.target.parentNode;
- pos = findPos(svgroot.parentNode);
-//alert(showobj(svgroot)+svgroot.getAttribute("mytop"))
- return (svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength"));
-}
-
-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]");
-//alert(src)
- // insert * between digit and letter e.g. 2x --> 2*x
- src = src.replace(/([0-9])([a-df-zA-Z]|e^)/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") {
-//alert(dsvglocation)
- if (typeof err=="object")
- errstr = err.name+" "+err.message+" "+err.number+" "+err.description;
- else errstr = err;
- alert(errstr+"\n"+src)
- }
- }
-}
-
-var lastSlot = 0;
-
-function drawPictures() { // main routine; called after webpage has loaded
- var src, id, dsvg, nd, node, ht, index, cols, arr, i, node2;
- var ASbody = document.getElementsByTagName("body")[0];
- pictures = getElementsByClass(ASbody,"embed","ASCIIsvg");
- var len = pictures.length;
- if(len==0) return;
- for (index = lastSlot; index < len+lastSlot; 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-lastSlot]; // 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 = createElementXHTML("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 = createElementXHTML("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(createElementXHTML("br"),node);
- node2 = createElementXHTML("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(document.createTextNode("ASCII"),node);
- picture.parentNode.insertBefore(createElementXHTML("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);
- }
- lastSlot+=len;
-}
-
-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
- if (id==undefined) return;
- var name = id;
- if (typeof name!="string") name = id.target.parentNode.getAttribute("name");
- picture = document.getElementById(name);
- 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 = parseFloat(svgpicture.getAttribute("xunitlength"));
- yunitlength = parseFloat(svgpicture.getAttribute("yunitlength"));
- xmin = parseFloat(svgpicture.getAttribute("xmin"));
- xmax = parseFloat(svgpicture.getAttribute("xmax"));
- ymin = parseFloat(svgpicture.getAttribute("ymin"));
- ymax = parseFloat(svgpicture.getAttribute("ymax"));
- origin = [svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];
-}
-
-function updatePicture(obj) {
- var node, src, id, top, left;
- 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);
- 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;
- if (!/height/.test(src)) src = "height=0; "+src;
- if (!/width/.test(src)) src = "width=0; "+src;
- 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);
-}
-
-function zoom(evt,factor) {
- switchTo(evt);
- var obj = evt.target;
- var name = obj.parentNode.getAttribute("name");
- var pic = document.getElementById(name);
- var src = document.getElementById(name+"input").value;
- var xlen = (xmax-xmin)/2;
- var ylen = (ymax-ymin)/2;
- var xcen = getX(evt), ycen = getY(evt);
- if (!/ymax/.test(src)) src = "ymax=0; "+src;
- if (!/ymin/.test(src)) src = "ymin=0; "+src;
- if (!/xmax/.test(src)) src = "xmax=0; "+src;
- if (!/xmin/.test(src)) src = "xmin=0; "+src;
- src = src.replace(/xmin\s*=\s*[-\d.e]+/,"xmin="+(xcen-factor*xlen));
- src = src.replace(/xmax\s*=\s*[-\d.e]+/,"xmax="+(xcen+factor*xlen));
- src = src.replace(/ymin\s*=\s*[-\d.e]+/,"ymin="+(ycen-factor*ylen));
- src = src.replace(/ymax\s*=\s*[-\d.e]+/,"ymax="+(ycen+factor*ylen));
- document.getElementById(name+"input").value = src;
- 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) {
- if (evt.altKey) changepicturesize(evt,2);
- else zoom(evt,.5);
- } else if (evt.altKey) zoom(evt,2);//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();
- } 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("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;
- }
- var nd = document.getElementById(picture.getAttribute("id")+"mml");
- if (nd!=null) // clear out MathML layer
- while (nd.childNodes.length>0) nd.removeChild(nd.lastChild);
- 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"); // used for displayCoord
- node.appendChild(doc.createTextNode(" "));
- node.setAttribute("id","coords");
- svgpicture.appendChild(node);
- node = myCreateElementSVG("text"); // used for text display
- node.appendChild(doc.createTextNode(" "));
- node.setAttribute("id","coords");
- 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,largearc) { // coordinates in units
- var node, v;
-//alert([fill, stroke, origin, xunitlength, yunitlength, height])
- if (id!=null) node = doc.getElementById(id);
- if (largearc==null) largearc=0;
- 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 "+largearc+",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, str = st.toString();
- if (/(`|\$)/.test(str)) { // 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 = createElementXHTML("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(str));
- if (/`/.test(str)) 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(str));
- }
- while (node.childNodes.length>1) node.removeChild(node.lastChild);
- node.lastChild.nodeValue = "\xA0"+str+"\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:
- (str.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,fontsz) { // 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",(fontsz!=null?fontsz: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 pth;
-}
-
-// 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) {
- 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")-(-7),svgroot.getAttribute("height")-7],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")", "left", "", "11");
-/* var dnode = nl.item(i+1);
- dnode.mtext = mtext;
- dnode.mtext([0,svgroot.getAttribute("height")-6],"Try (shift/alt)-dblclick", "right", "", "8");
-*/ }
-}
-
-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", "");
-/* var dnode = nl.item(i+1);
- dnode.mtext = mtext;
- dnode.mtext([0,svgroot.getAttribute("height")-0],"", "aboveright", "");
-*/}
-
-function initASCIIMathCalculators(li) {
- var i;
- for (i=0; i<li.length; i++) {
- li[i].innerHTML = calcstr;
- AMprocessNode(li[i]);
- }
- li = document.getElementsByTagName("textarea");
- var st;
- for (i=0; i<li.length; i++) {
- st = li[i].getAttribute("onkeyup");
- if (st!=null) eval(String(st).replace(/function anonymous\(\)/,""));
- }
-}
-
-function calculate(inputId,outputId) {
- var str = document.getElementById(inputId).value;
- var err = "";
- var ind = str.lastIndexOf("\n");
- if (ind==str.length-1) str = str.slice(0,ind);
- str = str.slice(str.lastIndexOf("\n")+1);
- try {
- var res = eval(mathjs(str));
- } catch(e) {
- err = "syntax incomplete";
- }
- if (!isNaN(res) && res!="Infinity")
- str = "`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;
- else if (str!="") str = "`"+str+"` = undefined"; //debug:+mathjs(str);
- var outnode = document.getElementById(outputId);
- var n = outnode.childNodes.length;
- for (var i=0; i<n; i++)
- outnode.removeChild(outnode.firstChild);
- outnode.appendChild(document.createTextNode(str));
- AMprocessNode(outnode);
-}
-
-function append(st){
- document.getElementById('in').value+=st;
- calculate('in','out');
- document.getElementById('in').scrollTop = 1000;
- document.getElementById('in').focus();
-}
-
-function clearTextArea(){
- document.getElementById('in').value="";
- calculate('in','out');
- document.getElementById('in').focus();
-}
-
-var calcstr = "<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: &nbsp; &nbsp; <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\">&nbsp;`C`&nbsp;</button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\">&nbsp;`pi` &nbsp;</button></td>\n<td><button onclick=\"append('sin(')\">&nbsp;`sin`</button></td>\n<td><button onclick=\"append('cos(')\">&nbsp;`cos`</button></td>\n<td><button onclick=\"append('tan(')\">&nbsp;`tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\">&nbsp; `!` &nbsp;</button></td>\n\n<td><button onclick=\"append('(')\"><font size=2>&nbsp;&nbsp;`(`&nbsp;&nbsp;</font></button></td>\n<td><button onclick=\"append(')')\"><font size=2>&nbsp;&nbsp;`)`&nbsp;&nbsp;</font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\">&nbsp;`-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\">&nbsp; `7` &nbsp;</button></td>\n<td><button onclick=\"append('8')\">&nbsp; `8` &nbsp;</button></td>\n\n<td><button onclick=\"append('9')\">&nbsp; `9` &nbsp;</button></td>\n<td><button onclick=\"append('*')\">&nbsp;`times`&nbsp;</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\">&nbsp;`ln`&nbsp;</button></td>\n<td><button onclick=\"append('4')\">&nbsp; `4` &nbsp;</button></td>\n<td><button onclick=\"append('5')\">&nbsp; `5` &nbsp;</button></td>\n<td><button onclick=\"append('6')\">&nbsp; `6` &nbsp;</button></td>\n\n<td><button onclick=\"append('-')\">&nbsp;`-{::}`&nbsp;</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\">&nbsp; `e` &nbsp;</button></td>\n<td><button onclick=\"append('1')\">&nbsp;&nbsp;`1` &nbsp;</button></td>\n<td><button onclick=\"append('2')\">&nbsp; `2` &nbsp;</button></td>\n<td><button onclick=\"append('3')\">&nbsp; `3` &nbsp;</button></td>\n<td><button onclick=\"append('+')\">&nbsp;`+{::}`&nbsp;</button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\">&nbsp;`pi` &nbsp;</button--></td>\n<td><button onclick=\"append('0')\">&nbsp; `0` &nbsp;</button></td>\n<td><button onclick=\"append('.')\">&nbsp; `.` &nbsp;</button></td>\n<td><button onclick=\"append('\\n')\">&nbsp;`\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";
-
-// GO1.1 Generic onload by Brothercake
-// http://www.brothercake.com/
-//onload function (replaces the onload="translate()" in the <body> tag)
-function generic()
-{
- if(!init()) return;
- if (translateOnLoad) {
- var nd = document.getElementById("processasciimathinmoodle");
- if (nd!=null) dsvglocation = nd.className;
- if (nd!=null || !checkforprocessasciimathinmoodle) {
- translate();
- if (!noSVG && translateASCIIsvg) drawPictures();
- }
- var li = getElementsByClass(document,"div","ASCIIMathCalculator");
- if (!noMathML && 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;
- }
-}
generated by cgit v1.2.3 (git 2.39.1) at 2024-07-03 20:24:37 +0000