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ASCIIMathML.js
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/*
Modified for respec and (perhaps) MathML Core compatibility
David Carlisle April 2022
ASCIIMathML.js
==============
This file contains JavaScript functions to convert ASCII math notation
and (some) LaTeX to Presentation MathML. The conversion is done while the
HTML page loads, and should work with Firefox and other browsers that can
render MathML.
Just add the next line to your HTML page with this file in the same folder:
<script type="text/javascript" src="ASCIIMathML.js"></script>
Version 2.2 Mar 3, 2014.
Latest version at https://github.com/mathjax/asciimathml
If you use it on a webpage, please send the URL to [email protected]
Copyright (c) 2014 Peter Jipsen and other ASCIIMathML.js contributors
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/
var asciimath = {};
(function(){
var mathcolor = "#000"; // change it to "" (to inherit) or another color
var mathfontsize = "1.2em"; // 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 translateASCIIMath = true; // false to preserve `..`
var displaystyle = true; // puts limits above and below large operators
var showasciiformulaonhover = true; // helps students learn ASCIIMath
var decimalsign = "."; // if "," then when writing lists or matrices put
//a space after the "," like `(1, 2)` not `(1,2)`
var AMdelimiter1 = "£", AMescape1 = "\\\\`"; // can use other characters
var AMdocumentId = "wikitext" // PmWiki element containing math (default=body)
var fixphi = true; //false to return to legacy phi/varphi mapping
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
var isIE = (navigator.appName.slice(0,9)=="Microsoft");
var noMathML = false, translated = false;
if (isIE) { // add MathPlayer info to IE webpages
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
document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd"," <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");
return null;
}
if (checkForMathML && (msg = checkMathML())) 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 if (navigator.appName.slice(0,5)=="Opera")
if (navigator.appVersion.slice(0,3)>="9.5") noMathML = null;
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://asciimath.org");
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 (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);
}
var AMmathml = "http://www.w3.org/1998/Math/MathML";
function AMcreateElementMathML(t) {
if (isIE) return document.createElement("m:"+t);
else return document.createElementNS(AMmathml,t);
}
function createMmlNode(t,frag) {
var node;
if (isIE) node = document.createElement("m:"+t);
else node = document.createElementNS(AMmathml,t);
if (frag) node.appendChild(frag);
return node;
}
function newcommand(oldstr,newstr) {
AMsymbols.push({input:oldstr, tag:"mo", output:newstr, tex:null, ttype:DEFINITION});
refreshSymbols();
}
function newsymbol(symbolobj) {
AMsymbols.push(symbolobj);
refreshSymbols();
}
// character lists for Mozilla/Netscape fonts
var AMcal = ["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];
var AMfrk = ["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];
var AMbbb = ["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];
/*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, UNARYUNDEROVER = 15; // 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:"lamda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
{input:"Lamda", 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:fixphi?"\u03D5":"\u03C6", tex:null, ttype:CONST},
{input:"varphi", tag:"mi", output:fixphi?"\u03C6":"\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:"\u2217", tex:"ast", 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:"\u22C9", tex:"ltimes", ttype:CONST},
{input:"><|", tag:"mo", output:"\u22CA", tex:"rtimes", ttype:CONST},
{input:"|><|", tag:"mo", output:"\u22C8", tex:"bowtie", ttype:CONST},
{input:"-:", tag:"mo", output:"\u00F7", tex:"div", ttype:CONST},
{input:"divide", tag:"mo", output:"-:", tex:null, ttype:DEFINITION},
{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:"gt", tag:"mo", output:">", tex:null, ttype:CONST},
{input:"mlt", tag:"mo", output:"\u226A", tex:"ll", ttype:CONST},
{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
{input:"gt=", tag:"mo", output:"\u2265", tex:"geq", ttype:CONST},
{input:"mgt", tag:"mo", output:"\u226B", tex:"gg", 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:"~", tag:"mo", output:"\u223C", tex:"sim", 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:"left(", ttype:LEFTBRACKET},
{input:")", tag:"mo", output:")", tex:"right)", ttype:RIGHTBRACKET},
{input:"[", tag:"mo", output:"[", tex:"left[", ttype:LEFTBRACKET},
{input:"]", tag:"mo", output:"]", tex:"right]", 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:CONST},
{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:"\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:"-+", tag:"mo", output:"\u2213", tex:"mp", 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:"\u2235", tex:"because", ttype:CONST},
{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST},
{input:"/_\\", tag:"mo", output:"\u25B3", tex:"triangle", ttype:CONST},
{input:"'", tag:"mo", output:"\u2032", tex:"prime", ttype:CONST},
{input:"tilde", tag:"mover", output:"~", tex:null, ttype:UNARY, acc:true},
{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST},
{input:"frown", tag:"mo", output:"\u2322", 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:"arcsin", tag:"mo", output:"arcsin", tex:null, ttype:UNARY, func:true},
{input:"arccos", tag:"mo", output:"arccos", tex:null, ttype:UNARY, func:true},
{input:"arctan", tag:"mo", output:"arctan", tex:null, ttype:UNARY, func:true},
{input:"coth", tag:"mo", output:"coth", tex:null, ttype:UNARY, func:true},
{input:"sech", tag:"mo", output:"sech", tex:null, ttype:UNARY, func:true},
{input:"csch", tag:"mo", output:"csch", tex:null, ttype:UNARY, func:true},
{input:"exp", tag:"mo", output:"exp", tex:null, ttype:UNARY, func:true},
{input:"abs", tag:"mo", output:"abs", tex:null, ttype:UNARY, rewriteleftright:["|","|"]},
{input:"norm", tag:"mo", output:"norm", tex:null, ttype:UNARY, rewriteleftright:["\u2225","\u2225"]},
{input:"floor", tag:"mo", output:"floor", tex:null, ttype:UNARY, rewriteleftright:["\u230A","\u230B"]},
{input:"ceil", tag:"mo", output:"ceil", tex:null, ttype:UNARY, rewriteleftright:["\u2308","\u2309"]},
{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},
{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:"Arcsin", tag:"mo", output:"Arcsin", tex:null, ttype:UNARY, func:true},
{input:"Arccos", tag:"mo", output:"Arccos", tex:null, ttype:UNARY, func:true},
{input:"Arctan", tag:"mo", output:"Arctan", 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:"Abs", tag:"mo", output:"abs", tex:null, ttype:UNARY, notexcopy:true, rewriteleftright:["|","|"]},
//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:"overset", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
{input:"underset", tag:"munder", 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:"overarc", tag:"mover", output:"\u23DC", tex:"overparen", ttype:UNARY, acc:true},
{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
{input:"ubrace", tag:"munder", output:"\u23DF", tex:"underbrace", ttype:UNARYUNDEROVER, acc:true},
{input:"obrace", tag:"mover", output:"\u23DE", tex:"overbrace", ttype:UNARYUNDEROVER, acc:true},
{input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
{input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
{input:"color", tag:"mstyle", ttype:BINARY},
{input:"id", tag:"mrow", ttype:BINARY},
{input:"class", tag:"mrow", ttype:BINARY},
{input:"cancel", tag:"menclose", output:"cancel", tex:null, ttype:UNARY},
AMquote,
{input:"bb", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"bb", tex:null, ttype:UNARY},
{input:"mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
{input:"sf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},
{input:"mathsf", tag:"mstyle", atname:"mathvariant", 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:"mathvariant", atval:"monospace", output:"tt", tex:null, ttype:UNARY},
{input:"mathtt", tag:"mstyle", atname:"mathvariant", 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 i;
var symlen = AMsymbols.length;
for (i=0; i<symlen; i++) {
if (AMsymbols[i].tex) {
AMsymbols.push({input:AMsymbols[i].tex,
tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype,
acc:(AMsymbols[i].acc||false)});
}
}
refreshSymbols();
}
function refreshSymbols(){
var i;
AMsymbols.sort(compareNames);
for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
}
function define(oldstr,newstr) {
AMsymbols.push({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=="-" && str.charAt(1)!==' ' && 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.hasChildNodes()) { return; }
if (node.firstChild.hasChildNodes() && (node.nodeName=="mrow" || node.nodeName=="M:MROW")) {
if (node.firstChild.nextSibling && node.firstChild.nextSibling.nodeName=="mtable") { return; }
st = node.firstChild.firstChild.nodeValue;
if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);
}
if (node.lastChild.hasChildNodes() && (node.nodeName=="mrow" || node.nodeName=="M:MROW")) {
st = node.lastChild.firstChild.nodeValue;
if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);
}
}
/*Parsing ASCII math expressions with the following grammar
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
u ::= sqrt | text | bb | other unary symbols for font commands
b ::= frac | root | stackrel binary symbols
l ::= ( | [ | { | (: | {: left brackets
r ::= ) | ] | } | :) | :} right brackets
S ::= v | lEr | uS | bSS Simple expression
I ::= S_S | S^S | S_S^S | S Intermediate expression
E ::= IE | I/I Expression
Each terminal symbol is translated into a corresponding mathml node.*/
var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;
function AMparseSexpr(str) { //parses str and returns [node,tailstr]
var symbol, node, result, i, st,// rightvert = false,
newFrag = document.createDocumentFragment();
str = AMremoveCharsAndBlanks(str,0);
symbol = AMgetSymbol(str); //either a token or a bracket or empty
if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {
return [null,str];
}
if (symbol.ttype == DEFINITION) {
str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);
symbol = AMgetSymbol(str);
}
switch (symbol.ttype) { case UNDEROVER:
case CONST:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
return [createMmlNode(symbol.tag, //its a constant
document.createTextNode(symbol.output)),str];
case LEFTBRACKET: //read (expr+)
AMnestingDepth++;
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseExpr(str,true);
AMnestingDepth--;
if (typeof symbol.invisible == "boolean" && symbol.invisible)
node = createMmlNode("mrow",result[0]);
else {
node = createMmlNode("mo",document.createTextNode(symbol.output));
node = createMmlNode("mrow",node);
node.appendChild(result[0]);
}
return [node,result[1]];
case TEXT:
if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);
if (str.charAt(0)=="{") i=str.indexOf("}");
else if (str.charAt(0)=="(") i=str.indexOf(")");
else if (str.charAt(0)=="[") i=str.indexOf("]");
else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;
else i = 0;
if (i==-1) i = str.length;
st = str.slice(1,i);
if (st.charAt(0) == " ") {
node = createMmlNode("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
}
newFrag.appendChild(
createMmlNode(symbol.tag,document.createTextNode(st)));
if (st.charAt(st.length-1) == " ") {
node = createMmlNode("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
}
str = AMremoveCharsAndBlanks(str,i+1);
return [createMmlNode("mrow",newFrag),str];
case UNARYUNDEROVER:
case UNARY:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseSexpr(str);
if (result[0]==null) {
if (symbol.tag=="mi" || symbol.tag=="mo") {
return [createMmlNode(symbol.tag,
document.createTextNode(symbol.output)),str];
} else {
result[0] = createMmlNode("mi", "");
}
}
if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
st = str.charAt(0);
if (st=="^" || st=="_" || st=="/" || st=="|" || st=="," ||
(symbol.input.length==1 && symbol.input.match(/\w/) && 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.rewriteleftright != "undefined") { // abs, floor, ceil
node = createMmlNode("mrow", createMmlNode("mo",document.createTextNode(symbol.rewriteleftright[0])));
node.appendChild(result[0]);
node.appendChild(createMmlNode("mo",document.createTextNode(symbol.rewriteleftright[1])));
return [node,result[1]];
} else if (symbol.input == "cancel") { // cancel
node = createMmlNode(symbol.tag,result[0]);
node.setAttribute("notation","updiagonalstrike");
return [node,result[1]];
} else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
node = createMmlNode(symbol.tag,result[0]);
var accnode = createMmlNode("mo",document.createTextNode(symbol.output));
if (symbol.input=="vec" && (
(result[0].nodeName=="mrow" && result[0].childNodes.length==1
&& result[0].firstChild.firstChild.nodeValue !== null
&& result[0].firstChild.firstChild.nodeValue.length==1) ||
(result[0].firstChild && result[0].firstChild.nodeValue !== null
&& result[0].firstChild.nodeValue.length==1) )) {
accnode.setAttribute("stretchy",false);
}
node.appendChild(accnode);
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 + symbol.codes[st.charCodeAt(j)-65];
else if (st.charCodeAt(j)>96 && st.charCodeAt(j)<123)
newst = newst + symbol.codes[st.charCodeAt(j)-71];
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 (['color', 'class', 'id'].indexOf(symbol.input) >= 0) {
// Get the second argument
if (str.charAt(0)=="{") i=str.indexOf("}");
else if (str.charAt(0)=="(") i=str.indexOf(")");
else if (str.charAt(0)=="[") i=str.indexOf("]");
st = str.slice(1,i);
// Make a mathml node
node = createMmlNode(symbol.tag,result2[0]);
// Set the correct attribute
if (symbol.input === "color") node.setAttribute("mathcolor", st)
else if (symbol.input === "class") node.setAttribute("class", st)
else if (symbol.input === "id") node.setAttribute("id", st)
return [node,result2[1]];
}
if (symbol.input=="root" || symbol.output=="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--;
st = "";
if (result[0].lastChild!=null)
st = result[0].lastChild.firstChild.nodeValue;
if (st == "|" && str.charAt(0)!==",") { // 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);
underover = (sym1.ttype == UNDEROVER || sym1.ttype == UNARYUNDEROVER);
if (symbol.input == "_") {
sym2 = AMgetSymbol(str);
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 if (symbol.input == "^" && underover) {
node = createMmlNode("mover",node);
node.appendChild(result[0]);
} else {
node = createMmlNode(symbol.tag,node);
node.appendChild(result[0]);
}
if (typeof sym1.func != 'undefined' && sym1.func) {
sym2 = AMgetSymbol(str);
if (sym2.ttype != INFIX && sym2.ttype != RIGHTBRACKET &&
(sym1.input.length>1 || sym2.ttype == LEFTBRACKET)) {
result = AMparseIexpr(str);
node = createMmlNode("mrow",node);
node.appendChild(result[0]);
str = result[1];
}
}
}
return [node,str];
}
function AMparseExpr(str,rightbracket) {
var symbol, node, result, i,
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"
&& newFrag.childNodes[len-1].lastChild
&& newFrag.childNodes[len-1].lastChild.firstChild ) { //matrix
//removed to allow row vectors: //&& 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 = []; // 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 &&
node.firstChild.firstChild.nodeValue==left &&
node.lastChild.firstChild &&
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;
}
matrix = matrix && (pos.length>1 || pos[0].length>0);
var columnlines = [];
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 ,
if (node.firstChild.nodeName=="mrow" && node.firstChild.childNodes.length==1 &&
node.firstChild.firstChild.firstChild.nodeValue=="\u2223") {
//is columnline marker - skip it
if (i==0) { columnlines.push("solid"); }
node.removeChild(node.firstChild); //remove mrow
node.removeChild(node.firstChild); //remove ,
j+=2;
k++;
} else if (i==0) { columnlines.push("none"); }
row.appendChild(createMmlNode("mtd",frag));
k++;
} else frag.appendChild(node.firstChild);
}
row.appendChild(createMmlNode("mtd",frag));
if (i==0) { columnlines.push("none"); }
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);
node.setAttribute("columnlines", columnlines.join(" "));
if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");
newFrag.replaceChild(node,newFrag.firstChild);
}
}