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authorfiddlosopher <fiddlosopher@788f1e2b-df1e-0410-8736-df70ead52e1b>2008-02-09 03:20:42 +0000
committerfiddlosopher <fiddlosopher@788f1e2b-df1e-0410-8736-df70ead52e1b>2008-02-09 03:20:42 +0000
commit446a964a190edf094871cd4bb4b045e469446223 (patch)
tree106c01a40bfe59056306e4a0d7fcbd1912f6ce07 /tests/s5.fancy.html
parentc150e84d3c74555d7024c9b0c23a76ef13e73335 (diff)
downloadpandoc-446a964a190edf094871cd4bb4b045e469446223.tar.gz
Incorporated templates phase into Setup.hs and improved templates.
+ Removed templates/Makefile and fillTemplates.pl. + Removed 'templates' Makefile target. + Added postConf hook to Setup.hs that fills the templates. + Use compressed javascripts for S5 and ASCIIMathML templates. + Revised test suite. git-svn-id: https://pandoc.googlecode.com/svn/trunk@1216 788f1e2b-df1e-0410-8736-df70ead52e1b
Diffstat (limited to 'tests/s5.fancy.html')
-rw-r--r--tests/s5.fancy.html4228
1 files changed, 451 insertions, 3777 deletions
diff --git a/tests/s5.fancy.html b/tests/s5.fancy.html
index 97ce03b45..486ef2ff5 100644
--- a/tests/s5.fancy.html
+++ b/tests/s5.fancy.html
@@ -10,3234 +10,381 @@
/><meta name="date" content="July 15, 2006"
/><script type="text/javascript">
/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-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)
-
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-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);
- }
-}
-
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-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" /* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */) {
- 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);
- }
- }
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-}
-
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-// 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");
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
- return {input:st, tag:tagst, output:st, ttype:CONST};
-}
-
-
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-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);
- }
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-}
-
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
-
-// 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); /* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
- node.setAttribute("fill", stroke); /* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
- 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");
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */ }
-}
-
-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", "");
-/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
-See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */}
-
-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
+ See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
+var mathcolor="";var mathfontsize="1em";var mathfontfamily="serif";var automathrecognize=false;var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var translateOnLoad=true;var translateLaTeX=true;var translateLaTeXformatting=true;var translateASCIIMath=true;var translateASCIIsvg=true;var avoidinnerHTML=false;var displaystyle=true;var showasciiformulaonhover=true;var decimalsign=".";var AMdelimiter1="`",AMescape1="\\\\`";var AMdocumentId="wikitext"
+var checkforprocessasciimathinmoodle=false;var dsvglocation="";var isIE=document.createElementNS==null;var noMathML=false,translated=false;if(isIE){document.write("<object id=\"mathplayer\"\
+ classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");}
+function setStylesheet(s){var id="AMMLcustomStyleSheet";var n=document.getElementById(id);if(document.createStyleSheet){if(n)
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+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);}}
+var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);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,document.createTextNode(symbol.output)),str];case LEFTBRACKET: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){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"){return[createMmlNode(symbol.tag,result[0]),result[1]];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=createMmlNode(symbol.tag,result[0]);node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output)));return[node,result[1]];}else{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: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=="|"){node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);return[node,result[1]];}else{node=createMmlNode("mo",document.createTextNode("\u2223"));node=createMmlNode("mrow",node);return[node,str];}
+default:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,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);result=AMparseSexpr(str);if(result[0]==null)
+result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));else AMremoveBrackets(result[0]);str=result[1];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);}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)
+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){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==","){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=[];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;n=node.childNodes.length;k=0;node.removeChild(node.firstChild);for(j=1;j<n-1;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);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);newFrag.removeChild(newFrag.firstChild);}
+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)
+node.setAttribute("title",str.replace(/\s+/g," "));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){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";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";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");for(i=0;i<arr.length;i++)
+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`)");str=str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3");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"){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){mtch=(str.indexOf("\$")==-1?false:true);str=str.replace(/([^\\])\$/g,"$1 \$");str=str.replace(/^\$/," \$");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++)
+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;}catch(err){}
+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);}}}
+var LMsymbols=[{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},{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},{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:"\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",ou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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},{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},{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},{input:"\\acute",tag:"mover",output:"\u00B4",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:"\\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:"\\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:"\\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=[];function LMremoveCharsAndBlanks(str,n){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){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,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);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};}
+var LMpreviousSymbol,LMcurrentSymbol;function LMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=LMremoveCharsAndBlanks(str,0);symbol=LMgetSymbol(str);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"){str="\\"+symbol.input.substr(4)+str;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";else if(symbol.input.substr(0,5)=="\\frac"){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: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:if(isIE&&symbol.input=="\\backslash")
+symbol.output="\\";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);if(symbol.rtag!=null)
+return[node,str,symbol.rtag];else
+return[node,str,symbol.tag];case BIG: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){var space=createMmlNode("mspace");space.setAttribute("height",atval+"ex");node=createMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);}
+return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){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: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);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];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{result=LMparseExpr("{"+str,true,true);node=createMmlNode("mtable",result[0]);if(isIE)
+node.setAttribute("columnspacing","0.25em");else
+node.setAttribute("columnspacing","0.167em");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");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");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){st=str.charAt(0);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"){if(isIE){var space=createMmlNode("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=createMmlNode(symbol.tag,result[0])
+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){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")
+node1.setAttribute("maxsize","1.2");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{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,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)
+result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=LMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=LMremoveCharsAndBlanks(str,sym2.input.length);var res2=LMparseSexpr(str);str=res2[1];tag=res2[2];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);}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){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"){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);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=="&"){var pos=[];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;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);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);newFrag.removeChild(newFrag.firstChild);}
+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;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(/(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>");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,"~");if(!avoidinnerHTML)n.innerHTML=st;processNodeR(n,false,true);}}
+var checkIfSVGavailable=true;var notifyIfNoSVG=true;var alertIfNoSVG=false;var noSVG=false;var defaultwidth=300;defaultheight=200;var defaultxmin=-5.5;defaultxmax=5.5;var defaultborder=0;border=defaultborder;var defaultstrokewidth="1";var defaultstroke="blue";var defaultstrokeopacity=1;var defaultstrokedasharray=null;var defaultfill="none";var defaultfillopacity=1;var defaultfontstyle="normal";var defaultfontfamily="times";var defaultfontsize="16";var defaultfontweight="normal";var defaultfontstroke="none";var defaultfontfill="none";var defaultmarker="none";var defaultendpoints="";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;var picturepos=null;var xunitlength;var yunitlength;var origin=[0,0];var above="above";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;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){if(n==null)n=1;if(Math.abs(x-Math.round(x*1000000)/1000000)<1e-15)
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+function C(x,k){var res=1;for(var i=0;i<k;i++)res*=(x-i)/(k-i);return res;}
+function chop(x,n){if(n==null)n=0;return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);}
+function ran(a,b,n){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++)
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+function showobj(obj){var st="",i;for(i in obj)
+st+=(obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));return st;}
+function findPos(obj){var curleft=curtop=0;if(obj.offsetParent){curleft=obj.offsetLeft
+curtop=obj.offsetTop
+while(obj=obj.offsetParent){curleft+=obj.offsetLeft
+curtop+=obj.offsetTop}}
+return[curleft,curtop];}
+function 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")
+noSVG=null;else noSVG=true;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){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){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){var svgroot=evt.target.parentNode;pos=findPos(svgroot.parentNode);return(svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength"));}
+function translateandeval(src){var errstr;src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")");src=src.replace(/([=[(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]");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);}catch(err){if(err!="wait"){if(typeof err=="object")
+errstr=err.name+" "+err.message+" "+err.number+" "+err.description;else errstr=err;alert(errstr+"\n"+src)}}}
+var lastSlot=0;function drawPictures(){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];src=picture.getAttribute("script");if(src==null)src="";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");}
+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==""||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);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(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(){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){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;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;var dblClkTimer;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);else showHideCode(evt);clearTimeout(dblClkTimer);dblClkTimer="";}else{clearTimeout(dblClkTimer);sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}}else{sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}}
+function showHideCode(evt){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(){}
+function setBorder(x){border=x}
+function initPicture(x_min,x_max,y_min,y_max){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;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("width",picture.getAttribute("width"));qnode.setAttribute("height",picture.getAttribute("height"));picturepos=findPos(picture);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)
+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");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);node=myCreateElementSVG("text");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);border=defaultborder;}}}
+function line(p,q,id,endpts){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){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){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){var node,v;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];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){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){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){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)){dnode=document.getElementById(svgpicture.getAttribute("name")+"mml");if(dnode!=null){if(id!=null)node=document.getElementById(id);if(node==null){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";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){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){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){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;function arrowhead(p,q){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);node.setAttribute("fill",stroke);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){axes(dx,dy,null,dx,dy)}
+function noaxes(){if(!initialized)initPicture();}
+function axes(dx,dy,labels,gdx,gdy){var x,y,ldx,ldy,lx,ly,lxp,lyp,pnode,st;if(!initialized)initPicture();if(typeof dx=="string"){labels=dx;dx=null;}
+if(typeof dy=="string"){gdx=dy;dy=null;}
+if(xscl!=null){dx=xscl;gdx=xscl;labels=dx}
+if(yscl!=null){dy=yscl;gdy=yscl}
+if(xtick!=null){dx=xtick}
+if(ytick!=null){dy=ytick}
+dx=(dx==null?xunitlength:dx*xunitlength);dy=(dy==null?dx:dy*yunitlength);fontsize=Math.min(dx/2,dy/2,16);ticklength=fontsize/4;if(xgrid!=null)gdx=xgrid;if(ygrid!=null)gdy=ygrid;if(gdx!=null){gdx=(typeof gdx=="string"?dx:gdx*xunitlength);gdy=(gdy==null?dy:gdy*yunitlength);pnode=myCreateElementSVG("path");st="";for(x=origin[0];x<width;x=x+gdx)
+st+=" M"+x+",0"+" "+x+","+height;for(x=origin[0]-gdx;x>0;x=x-gdx)
+st+=" M"+x+",0"+" "+x+","+height;for(y=height-origin[1];y<height;y=y+gdy)
+st+=" M0,"+y+" "+width+","+y;for(y=height-origin[1]-gdy;y>0;y=y-gdy)
+st+=" M0,"+y+" "+width+","+y;pnode.setAttribute("d",st);pnode.setAttribute("stroke-width",.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){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(/([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){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){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==")"){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"){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;}
+if(i==st.length-1)return"Error: missing argument";k=i+1;ch=st.charAt(k);if(ch>="0"&&ch<="9"||ch=="-"){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=="("){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"){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){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){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==")"){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"){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;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;}
+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]);}}}
+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");}}
+function removeCoord(evt){var svgroot=evt.target.parentNode;var nl=svgroot.childNodes;for(var i=0;i<nl.length&&nl.item(i).nodeName!="text";i++);var cnode=nl.item(i);cnode.mtext=mtext;cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"","aboveleft","");}
+function initASCIIMathCalculators(li){var i;for(i=0;i<li.length;i++){li[i].innerHTML=calcstr;AMprocessNode(li[i]);}
+li=document.getElementsByTagName("textarea");var st;for(i=0;i<li.length;i++){st=li[i].getAttribute("onkeyup");if(st!=null)eval(String(st).replace(/function anonymous\(\)/,""));}}
+function calculate(inputId,outputId){var str=document.getElementById(inputId).value;var err="";var ind=str.lastIndexOf("\n");if(ind==str.length-1)str=str.slice(0,ind);str=str.slice(str.lastIndexOf("\n")+1);try{var res=eval(mathjs(str));}catch(e){err="syntax incomplete";}
+if(!isNaN(res)&&res!="Infinity")
+str="`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;else if(str!="")str="`"+str+"` = undefined";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>";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);}};if(typeof window.addEventListener!='undefined')
+{window.addEventListener('load',generic,false);}
+else if(typeof document.addEventListener!='undefined')
+{document.addEventListener('load',generic,false);}
+else if(typeof window.attachEvent!='undefined')
+{window.attachEvent('onload',generic);}
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;
- }
-}
+{if(typeof window.onload=='function')
+{var existing=onload;window.onload=function()
+{existing();generic();};}
+else
+{window.onload=generic;}}
</script>
<!-- configuration parameters -->
<meta name="defaultView" content="slideshow" />
@@ -3362,7 +509,8 @@ img.incremental {visibility: hidden;}
/* diagnostics
li:after {content: " [" attr(class) "]"; color: #F88;}
- */
+*/
+
</style>
<style type="text/css" media="projection" id="operaFix">
/* DO NOT CHANGE THESE unless you really want to break Opera Show */
@@ -3424,555 +572,81 @@ p.example {display: none;}
//
// Please see http://www.meyerweb.com/eric/tools/s5/credits.html for information
// about all the wonderful and talented contributors to this code!
-
-var undef;
-var slideCSS = '';
-var snum = 0;
-var smax = 1;
-var incpos = 0;
-var number = undef;
-var s5mode = true;
-var defaultView = 'slideshow';
-var controlVis = 'visible';
-
-var isIE = navigator.appName == 'Microsoft Internet Explorer' && navigator.userAgent.indexOf('Opera') < 1 ? 1 : 0;
-var isOp = navigator.userAgent.indexOf('Opera') > -1 ? 1 : 0;
-var isGe = navigator.userAgent.indexOf('Gecko') > -1 && navigator.userAgent.indexOf('Safari') < 1 ? 1 : 0;
-
-function hasClass(object, className) {
- if (!object.className) return false;
- return (object.className.search('(^|\\s)' + className + '(\\s|$)') != -1);
-}
-
-function hasValue(object, value) {
- if (!object) return false;
- return (object.search('(^|\\s)' + value + '(\\s|$)') != -1);
-}
-
-function removeClass(object,className) {
- if (!object) return;
- object.className = object.className.replace(new RegExp('(^|\\s)'+className+'(\\s|$)'), RegExp.$1+RegExp.$2);
-}
-
-function addClass(object,className) {
- if (!object || hasClass(object, className)) return;
- if (object.className) {
- object.className += ' '+className;
- } else {
- object.className = className;
- }
-}
-
-function GetElementsWithClassName(elementName,className) {
- var allElements = document.getElementsByTagName(elementName);
- var elemColl = new Array();
- for (var i = 0; i< allElements.length; i++) {
- if (hasClass(allElements[i], className)) {
- elemColl[elemColl.length] = allElements[i];
- }
- }
- return elemColl;
-}
-
-function isParentOrSelf(element, id) {
- if (element == null || element.nodeName=='BODY') return false;
- else if (element.id == id) return true;
- else return isParentOrSelf(element.parentNode, id);
-}
-
-function nodeValue(node) {
- var result = "";
- if (node.nodeType == 1) {
- var children = node.childNodes;
- for (var i = 0; i < children.length; ++i) {
- result += nodeValue(children[i]);
- }
- }
- else if (node.nodeType == 3) {
- result = node.nodeValue;
- }
- return(result);
-}
-
-function slideLabel() {
- var slideColl = GetElementsWithClassName('*','slide');
- var list = document.getElementById('jumplist');
- smax = slideColl.length;
- for (var n = 0; n < smax; n++) {
- var obj = slideColl[n];
-
- var did = 'slide' + n.toString();
- obj.setAttribute('id',did);
- if (isOp) continue;
-
- var otext = '';
- var menu = obj.firstChild;
- if (!menu) continue; // to cope with empty slides
- while (menu && menu.nodeType == 3) {
- menu = menu.nextSibling;
- }
- if (!menu) continue; // to cope with slides with only text nodes
-
- var menunodes = menu.childNodes;
- for (var o = 0; o < menunodes.length; o++) {
- otext += nodeValue(menunodes[o]);
- }
- list.options[list.length] = new Option(n + ' : ' + otext, n);
- }
-}
-
-function currentSlide() {
- var cs;
- if (document.getElementById) {
- cs = document.getElementById('currentSlide');
- } else {
- cs = document.currentSlide;
- }
- cs.innerHTML = '<span id="csHere">' + snum + '<\/span> ' +
- '<span id="csSep">\/<\/span> ' +
- '<span id="csTotal">' + (smax-1) + '<\/span>';
- if (snum == 0) {
- cs.style.visibility = 'hidden';
- } else {
- cs.style.visibility = 'visible';
- }
-}
-
-function go(step) {
- if (document.getElementById('slideProj').disabled || step == 0) return;
- var jl = document.getElementById('jumplist');
- var cid = 'slide' + snum;
- var ce = document.getElementById(cid);
- if (incrementals[snum].length > 0) {
- for (var i = 0; i < incrementals[snum].length; i++) {
- removeClass(incrementals[snum][i], 'current');
- removeClass(incrementals[snum][i], 'incremental');
- }
- }
- if (step != 'j') {
- snum += step;
- lmax = smax - 1;
- if (snum > lmax) snum = lmax;
- if (snum < 0) snum = 0;
- } else
- snum = parseInt(jl.value);
- var nid = 'slide' + snum;
- var ne = document.getElementById(nid);
- if (!ne) {
- ne = document.getElementById('slide0');
- snum = 0;
- }
- if (step < 0) {incpos = incrementals[snum].length} else {incpos = 0;}
- if (incrementals[snum].length > 0 && incpos == 0) {
- for (var i = 0; i < incrementals[snum].length; i++) {
- if (hasClass(incrementals[snum][i], 'current'))
- incpos = i + 1;
- else
- addClass(incrementals[snum][i], 'incremental');
- }
- }
- if (incrementals[snum].length > 0 && incpos > 0)
- addClass(incrementals[snum][incpos - 1], 'current');
- ce.style.visibility = 'hidden';
- ne.style.visibility = 'visible';
- jl.selectedIndex = snum;
- currentSlide();
- number = 0;
-}
-
-function goTo(target) {
- if (target >= smax || target == snum) return;
- go(target - snum);
-}
-
-function subgo(step) {
- if (step > 0) {
- removeClass(incrementals[snum][incpos - 1],'current');
- removeClass(incrementals[snum][incpos], 'incremental');
- addClass(incrementals[snum][incpos],'current');
- incpos++;
- } else {
- incpos--;
- removeClass(incrementals[snum][incpos],'current');
- addClass(incrementals[snum][incpos], 'incremental');
- addClass(incrementals[snum][incpos - 1],'current');
- }
-}
-
-function toggle() {
- var slideColl = GetElementsWithClassName('*','slide');
- var slides = document.getElementById('slideProj');
- var outline = document.getElementById('outlineStyle');
- if (!slides.disabled) {
- slides.disabled = true;
- outline.disabled = false;
- s5mode = false;
- fontSize('1em');
- for (var n = 0; n < smax; n++) {
- var slide = slideColl[n];
- slide.style.visibility = 'visible';
- }
- } else {
- slides.disabled = false;
- outline.disabled = true;
- s5mode = true;
- fontScale();
- for (var n = 0; n < smax; n++) {
- var slide = slideColl[n];
- slide.style.visibility = 'hidden';
- }
- slideColl[snum].style.visibility = 'visible';
- }
-}
-
-function showHide(action) {
- var obj = GetElementsWithClassName('*','hideme')[0];
- switch (action) {
- case 's': obj.style.visibility = 'visible'; break;
- case 'h': obj.style.visibility = 'hidden'; break;
- case 'k':
- if (obj.style.visibility != 'visible') {
- obj.style.visibility = 'visible';
- } else {
- obj.style.visibility = 'hidden';
- }
- break;
- }
-}
-
-// 'keys' code adapted from MozPoint (http://mozpoint.mozdev.org/)
-function keys(key) {
- if (!key) {
- key = event;
- key.which = key.keyCode;
- }
- if (key.which == 84) {
- toggle();
- return;
- }
- if (s5mode) {
- switch (key.which) {
- case 10: // return
- case 13: // enter
- if (window.event && isParentOrSelf(window.event.srcElement, 'controls')) return;
- if (key.target && isParentOrSelf(key.target, 'controls')) return;
- if(number != undef) {
- goTo(number);
- break;
- }
- case 32: // spacebar
- case 34: // page down
- case 39: // rightkey
- case 40: // downkey
- if(number != undef) {
- go(number);
- } else if (!incrementals[snum] || incpos >= incrementals[snum].length) {
- go(1);
- } else {
- subgo(1);
- }
- break;
- case 33: // page up
- case 37: // leftkey
- case 38: // upkey
- if(number != undef) {
- go(-1 * number);
- } else if (!incrementals[snum] || incpos <= 0) {
- go(-1);
- } else {
- subgo(-1);
- }
- break;
- case 36: // home
- goTo(0);
- break;
- case 35: // end
- goTo(smax-1);
- break;
- case 67: // c
- showHide('k');
- break;
- }
- if (key.which < 48 || key.which > 57) {
- number = undef;
- } else {
- if (window.event && isParentOrSelf(window.event.srcElement, 'controls')) return;
- if (key.target && isParentOrSelf(key.target, 'controls')) return;
- number = (((number != undef) ? number : 0) * 10) + (key.which - 48);
- }
- }
- return false;
-}
-
-function clicker(e) {
- number = undef;
- var target;
- if (window.event) {
- target = window.event.srcElement;
- e = window.event;
- } else target = e.target;
- if (target.getAttribute('href') != null || hasValue(target.rel, 'external') || isParentOrSelf(target, 'controls') || isParentOrSelf(target,'embed') || isParentOrSelf(target,'object')) return true;
- if (!e.which || e.which == 1) {
- if (!incrementals[snum] || incpos >= incrementals[snum].length) {
- go(1);
- } else {
- subgo(1);
- }
- }
-}
-
-function findSlide(hash) {
- var target = null;
- var slides = GetElementsWithClassName('*','slide');
- for (var i = 0; i < slides.length; i++) {
- var targetSlide = slides[i];
- if ( (targetSlide.name && targetSlide.name == hash)
- || (targetSlide.id && targetSlide.id == hash) ) {
- target = targetSlide;
- break;
- }
- }
- while(target != null && target.nodeName != 'BODY') {
- if (hasClass(target, 'slide')) {
- return parseInt(target.id.slice(5));
- }
- target = target.parentNode;
- }
- return null;
-}
-
-function slideJump() {
- if (window.location.hash == null) return;
- var sregex = /^#slide(\d+)$/;
- var matches = sregex.exec(window.location.hash);
- var dest = null;
- if (matches != null) {
- dest = parseInt(matches[1]);
- } else {
- dest = findSlide(window.location.hash.slice(1));
- }
- if (dest != null)
- go(dest - snum);
-}
-
-function fixLinks() {
- var thisUri = window.location.href;
- thisUri = thisUri.slice(0, thisUri.length - window.location.hash.length);
- var aelements = document.getElementsByTagName('A');
- for (var i = 0; i < aelements.length; i++) {
- var a = aelements[i].href;
- var slideID = a.match('\#slide[0-9]{1,2}');
- if ((slideID) && (slideID[0].slice(0,1) == '#')) {
- var dest = findSlide(slideID[0].slice(1));
- if (dest != null) {
- if (aelements[i].addEventListener) {
- aelements[i].addEventListener("click", new Function("e",
- "if (document.getElementById('slideProj').disabled) return;" +
- "go("+dest+" - snum); " +
- "if (e.preventDefault) e.preventDefault();"), true);
- } else if (aelements[i].attachEvent) {
- aelements[i].attachEvent("onclick", new Function("",
- "if (document.getElementById('slideProj').disabled) return;" +
- "go("+dest+" - snum); " +
- "event.returnValue = false;"));
- }
- }
- }
- }
-}
-
-function externalLinks() {
- if (!document.getElementsByTagName) return;
- var anchors = document.getElementsByTagName('a');
- for (var i=0; i<anchors.length; i++) {
- var anchor = anchors[i];
- if (anchor.getAttribute('href') && hasValue(anchor.rel, 'external')) {
- anchor.target = '_blank';
- addClass(anchor,'external');
- }
- }
-}
-
-function createControls() {
- var controlsDiv = document.getElementById("controls");
- if (!controlsDiv) return;
- var hider = ' onmouseover="showHide(\'s\');" onmouseout="showHide(\'h\');"';
- var hideDiv, hideList = '';
- if (controlVis == 'hidden') {
- hideDiv = hider;
- } else {
- hideList = hider;
- }
- controlsDiv.innerHTML = '<form action="#" id="controlForm"' + hideDiv + '>' +
- '<div id="navLinks">' +
- '<a accesskey="t" id="toggle" href="javascript:toggle();">&#216;<\/a>' +
- '<a accesskey="z" id="prev" href="javascript:go(-1);">&laquo;<\/a>' +
- '<a accesskey="x" id="next" href="javascript:go(1);">&raquo;<\/a>' +
- '<div id="navList"' + hideList + '><select id="jumplist" onchange="go(\'j\');"><\/select><\/div>' +
- '<\/div><\/form>';
- if (controlVis == 'hidden') {
- var hidden = document.getElementById('navLinks');
- } else {
- var hidden = document.getElementById('jumplist');
- }
- addClass(hidden,'hideme');
-}
-
-function fontScale() { // causes layout problems in FireFox that get fixed if browser's Reload is used; same may be true of other Gecko-based browsers
- if (!s5mode) return false;
- var vScale = 22; // both yield 32 (after rounding) at 1024x768
- var hScale = 32; // perhaps should auto-calculate based on theme's declared value?
- if (window.innerHeight) {
- var vSize = window.innerHeight;
- var hSize = window.innerWidth;
- } else if (document.documentElement.clientHeight) {
- var vSize = document.documentElement.clientHeight;
- var hSize = document.documentElement.clientWidth;
- } else if (document.body.clientHeight) {
- var vSize = document.body.clientHeight;
- var hSize = document.body.clientWidth;
- } else {
- var vSize = 700; // assuming 1024x768, minus chrome and such
- var hSize = 1024; // these do not account for kiosk mode or Opera Show
- }
- var newSize = Math.min(Math.round(vSize/vScale),Math.round(hSize/hScale));
- fontSize(newSize + 'px');
- if (isGe) { // hack to counter incremental reflow bugs
- var obj = document.getElementsByTagName('body')[0];
- obj.style.display = 'none';
- obj.style.display = 'block';
- }
-}
-
-function fontSize(value) {
- if (!(s5ss = document.getElementById('s5ss'))) {
- if (!isIE) {
- document.getElementsByTagName('head')[0].appendChild(s5ss = document.createElement('style'));
- s5ss.setAttribute('media','screen, projection');
- s5ss.setAttribute('id','s5ss');
- } else {
- document.createStyleSheet();
- document.s5ss = document.styleSheets[document.styleSheets.length - 1];
- }
- }
- if (!isIE) {
- while (s5ss.lastChild) s5ss.removeChild(s5ss.lastChild);
- s5ss.appendChild(document.createTextNode('body {font-size: ' + value + ' !important;}'));
- } else {
- document.s5ss.addRule('body','font-size: ' + value + ' !important;');
- }
-}
-
-function notOperaFix() {
- slideCSS = document.getElementById('slideProj').href;
- var slides = document.getElementById('slideProj');
- var outline = document.getElementById('outlineStyle');
- slides.setAttribute('media','screen');
- outline.disabled = true;
- if (isGe) {
- slides.setAttribute('href','null'); // Gecko fix
- slides.setAttribute('href',slideCSS); // Gecko fix
- }
- if (isIE && document.styleSheets && document.styleSheets[0]) {
- document.styleSheets[0].addRule('img', 'behavior: url(ui/default/iepngfix.htc)');
- document.styleSheets[0].addRule('div', 'behavior: url(ui/default/iepngfix.htc)');
- document.styleSheets[0].addRule('.slide', 'behavior: url(ui/default/iepngfix.htc)');
- }
-}
-
-function getIncrementals(obj) {
- var incrementals = new Array();
- if (!obj)
- return incrementals;
- var children = obj.childNodes;
- for (var i = 0; i < children.length; i++) {
- var child = children[i];
- if (hasClass(child, 'incremental')) {
- if (child.nodeName == 'OL' || child.nodeName == 'UL') {
- removeClass(child, 'incremental');
- for (var j = 0; j < child.childNodes.length; j++) {
- if (child.childNodes[j].nodeType == 1) {
- addClass(child.childNodes[j], 'incremental');
- }
- }
- } else {
- incrementals[incrementals.length] = child;
- removeClass(child,'incremental');
- }
- }
- if (hasClass(child, 'show-first')) {
- if (child.nodeName == 'OL' || child.nodeName == 'UL') {
- removeClass(child, 'show-first');
- if (child.childNodes[isGe].nodeType == 1) {
- removeClass(child.childNodes[isGe], 'incremental');
- }
- } else {
- incrementals[incrementals.length] = child;
- }
- }
- incrementals = incrementals.concat(getIncrementals(child));
- }
- return incrementals;
-}
-
-function createIncrementals() {
- var incrementals = new Array();
- for (var i = 0; i < smax; i++) {
- incrementals[i] = getIncrementals(document.getElementById('slide'+i));
- }
- return incrementals;
-}
-
-function defaultCheck() {
- var allMetas = document.getElementsByTagName('meta');
- for (var i = 0; i< allMetas.length; i++) {
- if (allMetas[i].name == 'defaultView') {
- defaultView = allMetas[i].content;
- }
- if (allMetas[i].name == 'controlVis') {
- controlVis = allMetas[i].content;
- }
- }
-}
-
-// Key trap fix, new function body for trap()
-function trap(e) {
- if (!e) {
- e = event;
- e.which = e.keyCode;
- }
- try {
- modifierKey = e.ctrlKey || e.altKey || e.metaKey;
- }
- catch(e) {
- modifierKey = false;
- }
- return modifierKey || e.which == 0;
-}
-
-function startup() {
- defaultCheck();
- if (!isOp)
- createControls();
- slideLabel();
- fixLinks();
- externalLinks();
- fontScale();
- if (!isOp) {
- notOperaFix();
- incrementals = createIncrementals();
- slideJump();
- if (defaultView == 'outline') {
- toggle();
- }
- document.onkeyup = keys;
- document.onkeypress = trap;
- document.onclick = clicker;
- }
-}
-
-window.onload = startup;
-window.onresize = function(){setTimeout('fontScale()', 50);}</script>
+var undef;var slideCSS='';var snum=0;var smax=1;var incpos=0;var number=undef;var s5mode=true;var defaultView='slideshow';var controlVis='visible';var isIE=navigator.appName=='Microsoft Internet Explorer'&&navigator.userAgent.indexOf('Opera')<1?1:0;var isOp=navigator.userAgent.indexOf('Opera')>-1?1:0;var isGe=navigator.userAgent.indexOf('Gecko')>-1&&navigator.userAgent.indexOf('Safari')<1?1:0;function hasClass(object,className){if(!object.className)return false;return(object.className.search('(^|\\s)'+className+'(\\s|$)')!=-1);}
+function hasValue(object,value){if(!object)return false;return(object.search('(^|\\s)'+value+'(\\s|$)')!=-1);}
+function removeClass(object,className){if(!object)return;object.className=object.className.replace(new RegExp('(^|\\s)'+className+'(\\s|$)'),RegExp.$1+RegExp.$2);}
+function addClass(object,className){if(!object||hasClass(object,className))return;if(object.className){object.className+=' '+className;}else{object.className=className;}}
+function GetElementsWithClassName(elementName,className){var allElements=document.getElementsByTagName(elementName);var elemColl=new Array();for(var i=0;i<allElements.length;i++){if(hasClass(allElements[i],className)){elemColl[elemColl.length]=allElements[i];}}
+return elemColl;}
+function isParentOrSelf(element,id){if(element==null||element.nodeName=='BODY')return false;else if(element.id==id)return true;else return isParentOrSelf(element.parentNode,id);}
+function nodeValue(node){var result="";if(node.nodeType==1){var children=node.childNodes;for(var i=0;i<children.length;++i){result+=nodeValue(children[i]);}}
+else if(node.nodeType==3){result=node.nodeValue;}
+return(result);}
+function slideLabel(){var slideColl=GetElementsWithClassName('*','slide');var list=document.getElementById('jumplist');smax=slideColl.length;for(var n=0;n<smax;n++){var obj=slideColl[n];var did='slide'+n.toString();obj.setAttribute('id',did);if(isOp)continue;var otext='';var menu=obj.firstChild;if(!menu)continue;while(menu&&menu.nodeType==3){menu=menu.nextSibling;}
+if(!menu)continue;var menunodes=menu.childNodes;for(var o=0;o<menunodes.length;o++){otext+=nodeValue(menunodes[o]);}
+list.options[list.length]=new Option(n+' : '+otext,n);}}
+function currentSlide(){var cs;if(document.getElementById){cs=document.getElementById('currentSlide');}else{cs=document.currentSlide;}
+cs.innerHTML='<span id="csHere">'+snum+'<\/span> '+'<span id="csSep">\/<\/span> '+'<span id="csTotal">'+(smax-1)+'<\/span>';if(snum==0){cs.style.visibility='hidden';}else{cs.style.visibility='visible';}}
+function go(step){if(document.getElementById('slideProj').disabled||step==0)return;var jl=document.getElementById('jumplist');var cid='slide'+snum;var ce=document.getElementById(cid);if(incrementals[snum].length>0){for(var i=0;i<incrementals[snum].length;i++){removeClass(incrementals[snum][i],'current');removeClass(incrementals[snum][i],'incremental');}}
+if(step!='j'){snum+=step;lmax=smax-1;if(snum>lmax)snum=lmax;if(snum<0)snum=0;}else
+snum=parseInt(jl.value);var nid='slide'+snum;var ne=document.getElementById(nid);if(!ne){ne=document.getElementById('slide0');snum=0;}
+if(step<0){incpos=incrementals[snum].length}else{incpos=0;}
+if(incrementals[snum].length>0&&incpos==0){for(var i=0;i<incrementals[snum].length;i++){if(hasClass(incrementals[snum][i],'current'))
+incpos=i+1;else
+addClass(incrementals[snum][i],'incremental');}}
+if(incrementals[snum].length>0&&incpos>0)
+addClass(incrementals[snum][incpos-1],'current');ce.style.visibility='hidden';ne.style.visibility='visible';jl.selectedIndex=snum;currentSlide();number=0;}
+function goTo(target){if(target>=smax||target==snum)return;go(target-snum);}
+function subgo(step){if(step>0){removeClass(incrementals[snum][incpos-1],'current');removeClass(incrementals[snum][incpos],'incremental');addClass(incrementals[snum][incpos],'current');incpos++;}else{incpos--;removeClass(incrementals[snum][incpos],'current');addClass(incrementals[snum][incpos],'incremental');addClass(incrementals[snum][incpos-1],'current');}}
+function toggle(){var slideColl=GetElementsWithClassName('*','slide');var slides=document.getElementById('slideProj');var outline=document.getElementById('outlineStyle');if(!slides.disabled){slides.disabled=true;outline.disabled=false;s5mode=false;fontSize('1em');for(var n=0;n<smax;n++){var slide=slideColl[n];slide.style.visibility='visible';}}else{slides.disabled=false;outline.disabled=true;s5mode=true;fontScale();for(var n=0;n<smax;n++){var slide=slideColl[n];slide.style.visibility='hidden';}
+slideColl[snum].style.visibility='visible';}}
+function showHide(action){var obj=GetElementsWithClassName('*','hideme')[0];switch(action){case's':obj.style.visibility='visible';break;case'h':obj.style.visibility='hidden';break;case'k':if(obj.style.visibility!='visible'){obj.style.visibility='visible';}else{obj.style.visibility='hidden';}
+break;}}
+function keys(key){if(!key){key=event;key.which=key.keyCode;}
+if(key.which==84){toggle();return;}
+if(s5mode){switch(key.which){case 10:case 13:if(window.event&&isParentOrSelf(window.event.srcElement,'controls'))return;if(key.target&&isParentOrSelf(key.target,'controls'))return;if(number!=undef){goTo(number);break;}
+case 32:case 34:case 39:case 40:if(number!=undef){go(number);}else if(!incrementals[snum]||incpos>=incrementals[snum].length){go(1);}else{subgo(1);}
+break;case 33:case 37:case 38:if(number!=undef){go(-1*number);}else if(!incrementals[snum]||incpos<=0){go(-1);}else{subgo(-1);}
+break;case 36:goTo(0);break;case 35:goTo(smax-1);break;case 67:showHide('k');break;}
+if(key.which<48||key.which>57){number=undef;}else{if(window.event&&isParentOrSelf(window.event.srcElement,'controls'))return;if(key.target&&isParentOrSelf(key.target,'controls'))return;number=(((number!=undef)?number:0)*10)+(key.which-48);}}
+return false;}
+function clicker(e){number=undef;var target;if(window.event){target=window.event.srcElement;e=window.event;}else target=e.target;if(target.getAttribute('href')!=null||hasValue(target.rel,'external')||isParentOrSelf(target,'controls')||isParentOrSelf(target,'embed')||isParentOrSelf(target,'object'))return true;if(!e.which||e.which==1){if(!incrementals[snum]||incpos>=incrementals[snum].length){go(1);}else{subgo(1);}}}
+function findSlide(hash){var target=null;var slides=GetElementsWithClassName('*','slide');for(var i=0;i<slides.length;i++){var targetSlide=slides[i];if((targetSlide.name&&targetSlide.name==hash)||(targetSlide.id&&targetSlide.id==hash)){target=targetSlide;break;}}
+while(target!=null&&target.nodeName!='BODY'){if(hasClass(target,'slide')){return parseInt(target.id.slice(5));}
+target=target.parentNode;}
+return null;}
+function slideJump(){if(window.location.hash==null)return;var sregex=/^#slide(\d+)$/;var matches=sregex.exec(window.location.hash);var dest=null;if(matches!=null){dest=parseInt(matches[1]);}else{dest=findSlide(window.location.hash.slice(1));}
+if(dest!=null)
+go(dest-snum);}
+function fixLinks(){var thisUri=window.location.href;thisUri=thisUri.slice(0,thisUri.length-window.location.hash.length);var aelements=document.getElementsByTagName('A');for(var i=0;i<aelements.length;i++){var a=aelements[i].href;var slideID=a.match('\#slide[0-9]{1,2}');if((slideID)&&(slideID[0].slice(0,1)=='#')){var dest=findSlide(slideID[0].slice(1));if(dest!=null){if(aelements[i].addEventListener){aelements[i].addEventListener("click",new Function("e","if (document.getElementById('slideProj').disabled) return;"+"go("+dest+" - snum); "+"if (e.preventDefault) e.preventDefault();"),true);}else if(aelements[i].attachEvent){aelements[i].attachEvent("onclick",new Function("","if (document.getElementById('slideProj').disabled) return;"+"go("+dest+" - snum); "+"event.returnValue = false;"));}}}}}
+function externalLinks(){if(!document.getElementsByTagName)return;var anchors=document.getElementsByTagName('a');for(var i=0;i<anchors.length;i++){var anchor=anchors[i];if(anchor.getAttribute('href')&&hasValue(anchor.rel,'external')){anchor.target='_blank';addClass(anchor,'external');}}}
+function createControls(){var controlsDiv=document.getElementById("controls");if(!controlsDiv)return;var hider=' onmouseover="showHide(\'s\');" onmouseout="showHide(\'h\');"';var hideDiv,hideList='';if(controlVis=='hidden'){hideDiv=hider;}else{hideList=hider;}
+controlsDiv.innerHTML='<form action="#" id="controlForm"'+hideDiv+'>'+'<div id="navLinks">'+'<a accesskey="t" id="toggle" href="javascript:toggle();">&#216;<\/a>'+'<a accesskey="z" id="prev" href="javascript:go(-1);">&laquo;<\/a>'+'<a accesskey="x" id="next" href="javascript:go(1);">&raquo;<\/a>'+'<div id="navList"'+hideList+'><select id="jumplist" onchange="go(\'j\');"><\/select><\/div>'+'<\/div><\/form>';if(controlVis=='hidden'){var hidden=document.getElementById('navLinks');}else{var hidden=document.getElementById('jumplist');}
+addClass(hidden,'hideme');}
+function fontScale(){if(!s5mode)return false;var vScale=22;var hScale=32;if(window.innerHeight){var vSize=window.innerHeight;var hSize=window.innerWidth;}else if(document.documentElement.clientHeight){var vSize=document.documentElement.clientHeight;var hSize=document.documentElement.clientWidth;}else if(document.body.clientHeight){var vSize=document.body.clientHeight;var hSize=document.body.clientWidth;}else{var vSize=700;var hSize=1024;}
+var newSize=Math.min(Math.round(vSize/vScale),Math.round(hSize/hScale));fontSize(newSize+'px');if(isGe){var obj=document.getElementsByTagName('body')[0];obj.style.display='none';obj.style.display='block';}}
+function fontSize(value){if(!(s5ss=document.getElementById('s5ss'))){if(!isIE){document.getElementsByTagName('head')[0].appendChild(s5ss=document.createElement('style'));s5ss.setAttribute('media','screen, projection');s5ss.setAttribute('id','s5ss');}else{document.createStyleSheet();document.s5ss=document.styleSheets[document.styleSheets.length-1];}}
+if(!isIE){while(s5ss.lastChild)s5ss.removeChild(s5ss.lastChild);s5ss.appendChild(document.createTextNode('body {font-size: '+value+' !important;}'));}else{document.s5ss.addRule('body','font-size: '+value+' !important;');}}
+function notOperaFix(){slideCSS=document.getElementById('slideProj').href;var slides=document.getElementById('slideProj');var outline=document.getElementById('outlineStyle');slides.setAttribute('media','screen');outline.disabled=true;if(isGe){slides.setAttribute('href','null');slides.setAttribute('href',slideCSS);}
+if(isIE&&document.styleSheets&&document.styleSheets[0]){document.styleSheets[0].addRule('img','behavior: url(ui/default/iepngfix.htc)');document.styleSheets[0].addRule('div','behavior: url(ui/default/iepngfix.htc)');document.styleSheets[0].addRule('.slide','behavior: url(ui/default/iepngfix.htc)');}}
+function getIncrementals(obj){var incrementals=new Array();if(!obj)
+return incrementals;var children=obj.childNodes;for(var i=0;i<children.length;i++){var child=children[i];if(hasClass(child,'incremental')){if(child.nodeName=='OL'||child.nodeName=='UL'){removeClass(child,'incremental');for(var j=0;j<child.childNodes.length;j++){if(child.childNodes[j].nodeType==1){addClass(child.childNodes[j],'incremental');}}}else{incrementals[incrementals.length]=child;removeClass(child,'incremental');}}
+if(hasClass(child,'show-first')){if(child.nodeName=='OL'||child.nodeName=='UL'){removeClass(child,'show-first');if(child.childNodes[isGe].nodeType==1){removeClass(child.childNodes[isGe],'incremental');}}else{incrementals[incrementals.length]=child;}}
+incrementals=incrementals.concat(getIncrementals(child));}
+return incrementals;}
+function createIncrementals(){var incrementals=new Array();for(var i=0;i<smax;i++){incrementals[i]=getIncrementals(document.getElementById('slide'+i));}
+return incrementals;}
+function defaultCheck(){var allMetas=document.getElementsByTagName('meta');for(var i=0;i<allMetas.length;i++){if(allMetas[i].name=='defaultView'){defaultView=allMetas[i].content;}
+if(allMetas[i].name=='controlVis'){controlVis=allMetas[i].content;}}}
+function trap(e){if(!e){e=event;e.which=e.keyCode;}
+try{modifierKey=e.ctrlKey||e.altKey||e.metaKey;}
+catch(e){modifierKey=false;}
+return modifierKey||e.which==0;}
+function startup(){defaultCheck();if(!isOp)
+createControls();slideLabel();fixLinks();externalLinks();fontScale();if(!isOp){notOperaFix();incrementals=createIncrementals();slideJump();if(defaultView=='outline'){toggle();}
+document.onkeyup=keys;document.onkeypress=trap;document.onclick=clicker;}}
+window.onload=startup;window.onresize=function(){setTimeout('fontScale()',50);}
+</script>
</head
><body
><div class="layout">