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>My S5 Document</title
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/><meta name="generator" content="pandoc"
/><meta name="author" content="Sam Smith"
/><meta name="author" content="Jen Jones"
/><meta name="date" content="July 15, 2006"
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/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
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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
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/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
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RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,
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MATRIX = 14;; // token types
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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,"")+" □"});
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> </p>");
st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");
st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");
st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>");
st = st.replace(/\\begin{center}((.|\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," □");
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: <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";
// GO1.1 Generic onload by Brothercake
// http://www.brothercake.com/
//onload function (replaces the onload="translate()" in the <body> tag)
function generic()
{
if(!init()) return;
if (translateOnLoad) {
var nd = document.getElementById("processasciimathinmoodle");
if (nd!=null) dsvglocation = nd.className;
if (nd!=null || !checkforprocessasciimathinmoodle) {
translate();
if (!noSVG && translateASCIIsvg) drawPictures();
}
var li = getElementsByClass(document,"div","ASCIIMathCalculator");
if (!noMathML && li.length>0) initASCIIMathCalculators(li);
}
};
//setup onload function
if(typeof window.addEventListener != 'undefined')
{
//.. gecko, safari, konqueror and standard
window.addEventListener('load', generic, false);
}
else if(typeof document.addEventListener != 'undefined')
{
//.. opera 7
document.addEventListener('load', generic, false);
}
else if(typeof window.attachEvent != 'undefined')
{
//.. win/ie
window.attachEvent('onload', generic);
}
//** remove this condition to degrade older browsers
else
{
//.. mac/ie5 and anything else that gets this far
//if there's an existing onload function
if(typeof window.onload == 'function')
{
//store it
var existing = onload;
//add new onload handler
window.onload = function()
{
//call existing onload function
existing();
//call generic onload function
generic();
};
}
else
{
//setup onload function
window.onload = generic;
}
}
</script>
<!-- configuration parameters -->
<meta name="defaultView" content="slideshow" />
<meta name="controlVis" content="hidden" />
<style type="text/css" media="projection" id="slideProj">
/* Do not edit or override these styles! The system will likely break if you do. */
div#header, div#footer, div#controls, .slide {position: absolute;}
html>body div#header, html>body div#footer,
html>body div#controls, html>body .slide {position: fixed;}
.handout {display: none;}
.layout {display: block;}
.slide, .hideme, .incremental {visibility: hidden;}
#slide0 {visibility: visible;}
/* The following styles size, place, and layer the slide components.
Edit these if you want to change the overall slide layout.
The commented lines can be uncommented (and modified, if necessary)
to help you with the rearrangement process. */
/* target = 1024x768 */
div#header, div#footer, .slide {width: 100%; top: 0; left: 0;}
div#header {top: 0; height: 3em; z-index: 1;}
div#footer {top: auto; bottom: 0; height: 2.5em; z-index: 5;}
.slide {top: 0; width: 92%; padding: 3.5em 4% 4%; z-index: 2; list-style: none;}
div#controls {left: 50%; bottom: 0; width: 50%; z-index: 100;}
div#controls form {position: absolute; bottom: 0; right: 0; width: 100%;
margin: 0;}
#currentSlide {position: absolute; width: 10%; left: 45%; bottom: 1em; z-index: 10;}
html>body #currentSlide {position: fixed;}
/*
div#header {background: #FCC;}
div#footer {background: #CCF;}
div#controls {background: #BBD;}
div#currentSlide {background: #FFC;}
*/
/* Following are the presentation styles -- edit away! */
body {background: #FFF url(bodybg.gif) -16px 0 no-repeat; color: #000; font-size: 2em;}
:link, :visited {text-decoration: none; color: #00C;}
#controls :active {color: #88A !important;}
#controls :focus {outline: 1px dotted #227;}
h1, h2, h3, h4 {font-size: 100%; margin: 0; padding: 0; font-weight: inherit;}
ul, pre {margin: 0; line-height: 1em;}
html, body {margin: 0; padding: 0;}
blockquote, q {font-style: italic;}
blockquote {padding: 0 2em 0.5em; margin: 0 1.5em 0.5em; text-align: center; font-size: 1em;}
blockquote p {margin: 0;}
blockquote i {font-style: normal;}
blockquote b {display: block; margin-top: 0.5em; font-weight: normal; font-size: smaller; font-style: normal;}
blockquote b i {font-style: italic;}
kbd {font-weight: bold; font-size: 1em;}
sup {font-size: smaller; line-height: 1px;}
.slide code {padding: 2px 0.25em; font-weight: bold; color: #533;}
.slide code.bad, code del {color: red;}
.slide code.old {color: silver;}
.slide pre {padding: 0; margin: 0.25em 0 0.5em 0.5em; color: #533; font-size: 90%;}
.slide pre code {display: block;}
.slide ul {margin-left: 5%; margin-right: 7%; list-style: disc;}
.slide li {margin-top: 0.75em; margin-right: 0;}
.slide ul ul {line-height: 1;}
.slide ul ul li {margin: .2em; font-size: 85%; list-style: square;}
.slide img.leader {display: block; margin: 0 auto;}
div#header, div#footer {background: #005; color: #AAB;
font-family: Verdana, Helvetica, sans-serif;}
div#header {background: #005 url(bodybg.gif) -16px 0 no-repeat;
line-height: 1px;}
div#footer {font-size: 0.5em; font-weight: bold; padding: 1em 0;}
#footer h1, #footer h2 {display: block; padding: 0 1em;}
#footer h2 {font-style: italic;}
div.long {font-size: 0.75em;}
.slide h1 {position: absolute; top: 0.7em; left: 87px; z-index: 1;
margin: 0; padding: 0.3em 0 0 50px; white-space: nowrap;
font: bold 150%/1em Helvetica, sans-serif; text-transform: capitalize;
color: #DDE; background: #005;}
.slide h3 {font-size: 130%;}
h1 abbr {font-variant: small-caps;}
div#controls {position: absolute; left: 50%; bottom: 0;
width: 50%;
text-align: right; font: bold 0.9em Verdana, Helvetica, sans-serif;}
html>body div#controls {position: fixed; padding: 0 0 1em 0;
top: auto;}
div#controls form {position: absolute; bottom: 0; right: 0; width: 100%;
margin: 0; padding: 0;}
#controls #navLinks a {padding: 0; margin: 0 0.5em;
background: #005; border: none; color: #779;
cursor: pointer;}
#controls #navList {height: 1em;}
#controls #navList #jumplist {position: absolute; bottom: 0; right: 0; background: #DDD; color: #227;}
#currentSlide {text-align: center; font-size: 0.5em; color: #449;}
#slide0 {padding-top: 3.5em; font-size: 90%;}
#slide0 h1 {position: static; margin: 1em 0 0; padding: 0;
font: bold 2em Helvetica, sans-serif; white-space: normal;
color: #000; background: transparent;}
#slide0 h2 {font: bold italic 1em Helvetica, sans-serif; margin: 0.25em;}
#slide0 h3 {margin-top: 1.5em; font-size: 1.5em;}
#slide0 h4 {margin-top: 0; font-size: 1em;}
ul.urls {list-style: none; display: inline; margin: 0;}
.urls li {display: inline; margin: 0;}
.note {display: none;}
.external {border-bottom: 1px dotted gray;}
html>body .external {border-bottom: none;}
.external:after {content: " \274F"; font-size: smaller; color: #77B;}
.incremental, .incremental *, .incremental *:after {color: #DDE; visibility: visible;}
img.incremental {visibility: hidden;}
.slide .current {color: #B02;}
/* 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 */
.slide {
visibility: visible !important;
position: static !important;
page-break-before: always;
}
#slide0 {page-break-before: avoid;}
</style>
<style type="text/css" media="screen" id="outlineStyle">
/* don't change this unless you want the layout stuff to show up in the outline view! */
.layout div, #footer *, #controlForm * {display: none;}
#footer, #controls, #controlForm, #navLinks, #toggle {
display: block; visibility: visible; margin: 0; padding: 0;}
#toggle {float: right; padding: 0.5em;}
html>body #toggle {position: fixed; top: 0; right: 0;}
/* making the outline look pretty-ish */
#slide0 h1, #slide0 h2, #slide0 h3, #slide0 h4 {border: none; margin: 0;}
#slide0 h1 {padding-top: 1.5em;}
.slide h1 {margin: 1.5em 0 0; padding-top: 0.25em;
border-top: 1px solid #888; border-bottom: 1px solid #AAA;}
#toggle {border: 1px solid; border-width: 0 0 1px 1px; background: #FFF;}
</style>
<style type="text/css" media="print" id="slidePrint">
/* The following rule is necessary to have all slides appear in print! DO NOT REMOVE IT! */
.slide, ul {page-break-inside: avoid; visibility: visible !important;}
h1 {page-break-after: avoid;}
body {font-size: 12pt; background: white;}
* {color: black;}
#slide0 h1 {font-size: 200%; border: none; margin: 0.5em 0 0.25em;}
#slide0 h3 {margin: 0; padding: 0;}
#slide0 h4 {margin: 0 0 0.5em; padding: 0;}
#slide0 {margin-bottom: 3em;}
h1 {border-top: 2pt solid gray; border-bottom: 1px dotted silver;}
.extra {background: transparent !important;}
div.extra, pre.extra, .example {font-size: 10pt; color: #333;}
ul.extra a {font-weight: bold;}
p.example {display: none;}
#header {display: none;}
#footer h1 {margin: 0; border-bottom: 1px solid; color: gray; font-style: italic;}
#footer h2, #controls {display: none;}
/* The following rule keeps the layout stuff out of print. Remove at your own risk! */
.layout, .layout * {display: none !important;}
</style>
<script type="text/javascript">
// S5 v1.1 slides.js -- released into the Public Domain
//
// 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();">Ø<\/a>' +
'<a accesskey="z" id="prev" href="javascript:go(-1);">«<\/a>' +
'<a accesskey="x" id="next" href="javascript:go(1);">»<\/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>
</head
><body
><div class="layout">
<div id="controls"></div>
<div id="currentSlide"></div>
<div id="header"></div>
<div id="footer">
<h1 id="july-15-2006"
>July 15, 2006</h1
><h2 id="my-s5-document"
>My S5 Document</h2
></div>
</div>
<div class="presentation">
<div class="slide">
<h1 id="my-s5-document-1"
>My S5 Document</h1
><h3 id="sam-smith-jen-jones"
>Sam Smith, Jen Jones</h3
><h4 id="july-15-2006-1"
>July 15, 2006</h4
></div>
<div class="slide">
<h1 id="first-slide"
>First slide</h1
><ul class="incremental"
><li
>first bullet</li
><li
>second bullet</li
></ul
></div>
<div class="slide">
<h1 id="math"
>Math</h1
><ul class="incremental"
><li
>$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$</li
></ul
></div>
</div>
</body
></html
>