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AMtoMQlite.js
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/*
AMtoMQlite.js
(c) 2012 David Lippman
Converts AsciiMath in MathQuill's version of TeX
Based on ASCIIMathML, Version 1.4.7 Aug 30, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen
Modified with TeX conversion for IMG rendering Sept 6, 2006 (c) David Lippman http://www.pierce.ctc.edu/dlippman
Licensed under GNU General Public License (at http://www.gnu.org/copyleft/gpl.html)
*/
var AMtoMQ = function(){
var decimalsign = '.';
var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,
RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,
LEFTRIGHT = 9, TEXT = 10; // token types
var AMQsqrt = {input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
AMQroot = {input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
AMQfrac = {input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},
AMQdiv = {input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},
AMQover = {input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
AMQsub = {input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},
AMQsup = {input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},
AMQtext = {input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
AMQmbox = {input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
AMQquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT};
var AMQsymbols = [
//some greek symbols
{input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST},
{input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST},
{input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST},
{input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST},
{input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST},
{input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},
{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},
{input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST},
{input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST},
{input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST},
{input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST},
{input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST},
{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},
{input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST},
{input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST},
{input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST},
{input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST},
{input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST},
{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},
{input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST},
{input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST},
{input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST},
{input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST},
{input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST},
{input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST},
{input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST},
{input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST},
{input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST},
{input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST},
{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},
{input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST},
{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},
{input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST},
{input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST},
{input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST},
//binary operation symbols
{input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},
{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},
{input:"-:", tag:"mo", output:"\u00F7", tex:"div", ttype:CONST},
//{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:"U", 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:"gt", tag:"mo", output:">", tex:null, ttype:CONST},
{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
{input:"gt=", tag:"mo", output:"\u2265", tex:"geq", 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},
//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:"lbrace", ttype:LEFTBRACKET},
{input:"}", tag:"mo", output:"}", tex:"rbrace", 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:"langle", ttype:LEFTBRACKET},
{input:">>", tag:"mo", output:"\u232A", tex:"rangle", 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:"+-", 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:"CC", tag:"mo", output:"\u2102", tex:"mathbb{C}", ttype:CONST, notexcopy:true},
//{input:"NN", tag:"mo", output:"\u2115", tex:"mathbb{N}", ttype:CONST, notexcopy:true},
//{input:"QQ", tag:"mo", output:"\u211A", tex:"mathbb{Q}", ttype:CONST, notexcopy:true},
{input:"RR", tag:"mo", output:"\u211D", tex:"mathbb{R}", ttype:CONST, notexcopy:true},
//{input:"ZZ", tag:"mo", output:"\u2124", tex:"mathbb{Z}", ttype:CONST, notexcopy:true},
{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true, val:true},
//{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true, val:true},
//{input:"''", tag:"mo", output:"''", tex:null, val:true},
//{input:"'''", tag:"mo", output:"'''", tex:null, val:true},
//{input:"''''", tag:"mo", output:"''''", tex:null, val:true},
//standard functions
{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
{input:"arcsin", tag:"mo", output:"arcsin", tex:null, ttype:UNARY, func:true},
{input:"arccos", tag:"mo", output:"arccos", tex:null, ttype:UNARY, func:true},
{input:"arctan", tag:"mo", output:"arctan", tex:null, ttype:UNARY, func:true},
{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
{input:"coth", tag:"mo", output:"coth", tex:null, ttype:UNARY, func:true},
{input:"sech", tag:"mo", output:"sech", tex:null, ttype:UNARY, func:true},
{input:"csch", tag:"mo", output:"csch", tex:null, ttype:UNARY, func:true},
{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},
{input:"abs", tag:"mo", output:"abs", tex:null, ttype:UNARY, func:true},
{input:"Sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
{input:"Cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
{input:"Tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
{input:"Arcsin", tag:"mo", output:"arcsin", tex:null, ttype:UNARY, func:true},
{input:"Arccos", tag:"mo", output:"arccos", tex:null, ttype:UNARY, func:true},
{input:"Arctan", tag:"mo", output:"arctan", tex:null, ttype:UNARY, func:true},
{input:"Sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
{input:"Sosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
{input:"Tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
{input:"Cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
{input:"Sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
{input:"Csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
{input:"Log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
{input:"Ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},
{input:"Abs", tag:"mo", output:"abs", tex:null, ttype:UNARY, func:true},
//commands with argument
AMQsqrt, AMQroot, AMQfrac, AMQdiv, AMQover, AMQsub, AMQsup,
{input:"Sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
//{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:"tilde", tag:"mover", output:"~", 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},
AMQtext, AMQmbox, AMQquote
//{input:"var", tag:"mstyle", atname:"fontstyle", atval:"italic", output:"var", tex:null, ttype:UNARY},
//{input:"color", tag:"mstyle", ttype:BINARY}
];
function compareNames(s1,s2) {
if (s1.input > s2.input) return 1
else return -1;
}
var AMQnames = []; //list of input symbols
function AMQinitSymbols() {
var texsymbols = [], i;
for (i=0; i<AMQsymbols.length; i++) {
if (typeof AMQsymbols[i].tex !='undefined' && AMQsymbols[i].tex != null && !(typeof AMQsymbols[i].notexcopy == "boolean" && AMQsymbols[i].notexcopy)) {
texsymbols[texsymbols.length] = {input:AMQsymbols[i].tex,
tag:AMQsymbols[i].tag, output:AMQsymbols[i].output, ttype:AMQsymbols[i].ttype};
}
}
AMQsymbols = AMQsymbols.concat(texsymbols);
AMQsymbols.sort(compareNames);
for (i=0; i<AMQsymbols.length; i++) AMQnames[i] = AMQsymbols[i].input;
}
function AMQremoveCharsAndBlanks(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 AMQposition(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 AMQgetSymbol(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 = AMQposition(AMQnames, st, j);
if (k<AMQnames.length && str.slice(0,AMQnames[k].length)==AMQnames[k]){
match = AMQnames[k];
mk = k;
i = match.length;
}
more = k<AMQnames.length && str.slice(0,AMQnames[k].length)>=AMQnames[k];
}
AMQpreviousSymbol=AMQcurrentSymbol;
if (match!=""){
AMQcurrentSymbol=AMQsymbols[mk].ttype;
return AMQsymbols[mk];
}
// if str[0] is a digit or - return maxsubstring of digits.digits
AMQcurrentSymbol=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=="-" && AMQpreviousSymbol==INFIX) {
AMQcurrentSymbol = INFIX;
return {input:st, tag:tagst, output:st, ttype:UNARY, func:true, val:true};
}
return {input:st, tag:tagst, output:st, ttype:CONST, val:true}; //added val bit
}
function AMQTremoveBrackets(node) {
var st;
//if (node.charAt(0)=='{' && node.charAt(node.length-1)=='}') {
st = node.charAt(0);
if (st=="(" || st=="[") node = node.substr(1);
st = node.substr(0,6);
if (st=="\\left(" || st=="\\left[" || st=="\\left{") node = node.substr(6);
st = node.substr(0,12);
if (st=="\\left\\lbrace" || st=="\\left\\langle") node = node.substr(12);
st = node.charAt(node.length-1);
if (st==")" || st=="]" || st=='.') node = node.substr(0,node.length-7);
st = node.substr(node.length-7,7)
if (st=="\\rbrace" || st=="\\rangle") node = node.substr(0,node.length-13);
//}
return node;
}
/*Parsing ASCII math expressions with the following grammar
v ::= [A-Za-z] | greek letters | numbers | other constant symbols
u ::= sqrt | text | bb | other unary symbols for font commands
b ::= frac | root | stackrel binary symbols
l ::= ( | [ | { | (: | {: left brackets
r ::= ) | ] | } | :) | :} right brackets
S ::= v | lEr | uS | bSS Simple expression
I ::= S_S | S^S | S_S^S | S Intermediate expression
E ::= IE | I/I Expression
Each terminal symbol is translated into a corresponding mathml node.*/
var AMQnestingDepth,AMQpreviousSymbol,AMQcurrentSymbol;
function AMQTgetTeXsymbol(symb) {
if (typeof symb.val == "boolean" && symb.val) {
pre = '';
} else {
pre = '\\';
}
if (symb.tex==null) {
return (pre+(pre==''?symb.input:symb.input.toLowerCase()));
} else {
return (pre+symb.tex);
}
}
function AMQTgetTeXbracket(symb) {
if (symb.tex==null) {
return (symb.input);
} else {
return ('\\'+symb.tex);
}
}
function AMQTparseSexpr(str) { //parses str and returns [node,tailstr]
var symbol, node, result, i, st,// rightvert = false,
newFrag = '';
str = AMQremoveCharsAndBlanks(str,0);
symbol = AMQgetSymbol(str); //either a token or a bracket or empty
if (symbol == null || symbol.ttype == RIGHTBRACKET && AMQnestingDepth > 0) {
return [null,str];
}
if (symbol.ttype == DEFINITION) {
str = symbol.output+AMQremoveCharsAndBlanks(str,symbol.input.length);
symbol = AMQgetSymbol(str);
}
switch (symbol.ttype) {
case UNDEROVER:
case CONST:
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
var texsymbol = AMQTgetTeXsymbol(symbol);
if (texsymbol.charAt(0)=="\\" || symbol.tag=="mo") return [texsymbol,str];
else return [texsymbol,str];
case LEFTBRACKET: //read (expr+)
AMQnestingDepth++;
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
result = AMQTparseExpr(str,true);
AMQnestingDepth--;
if (result[0].substr(0,6)=="\\right") {
if (result[0].substr(0,7)=="\\right.") {
result[0] = result[0].substr(7);
} else {
result[0] = result[0].substr(6);
}
if (typeof symbol.invisible == "boolean" && symbol.invisible)
node = result[0];
else {
node = AMQTgetTeXbracket(symbol) + result[0];
}
} else {
if (typeof symbol.invisible == "boolean" && symbol.invisible)
node = '\\left.'+result[0];
else {
if (symbol.input=='(' && result[0].substr(result[0].length-1)==']') {
node = '\\intervalopenleft{'+result[0].substr(0,result[0].length-7)+'}';
} else if (symbol.input=='[' && result[0].substr(result[0].length-1)==')') {
node = '\\intervalopenright{'+result[0].substr(0,result[0].length-7)+'}';
} else if (symbol.input=='<<' && result[0].substr(result[0].length-6)=='rangle') {
node = '\\langle{'+result[0].substr(0,result[0].length-7-6)+'}';
} else {
node = '\\left'+AMQTgetTeXbracket(symbol) + result[0];
}
}
}
return [node,result[1]];
case TEXT:
if (symbol!=AMQquote) str = AMQremoveCharsAndBlanks(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==AMQquote) i=str.slice(1).indexOf("\"")+1;
else i = 0;
if (i==-1) i = str.length;
st = str.slice(1,i);
//if (st.charAt(0) == " ") {
// newFrag = '\\ ';
//}
newFrag += '\\text{'+st+'}';
// if (st.charAt(st.length-1) == " ") {
// newFrag += '\\ ';
// }
str = AMQremoveCharsAndBlanks(str,i+1);
return [newFrag,str];
case UNARY:
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
result = AMQTparseSexpr(str);
if (result[0]==null) return [AMQTgetTeXsymbol(symbol),str];
if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
st = str.charAt(0);
if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
return [AMQTgetTeXsymbol(symbol),str];
} else {
if (symbol.input=='-') {
node = '-'+result[0];
} else {
if (symbol.input=='abs') {
node = '\\left|'+AMQTremoveBrackets(result[0])+'\\right|';
} else {
node = AMQTgetTeXsymbol(symbol)+((st=='(')?"":" ")+result[0];
}
}
return [node,result[1]];
}
}
result[0] = AMQTremoveBrackets(result[0]);
if (symbol.input == "sqrt") { // sqrt
return ['\\sqrt{'+result[0]+'}',result[1]];
} else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
return [AMQTgetTeXsymbol(symbol)+'{'+result[0]+'}',result[1]];
} else { // font change command
return [AMQTgetTeXsymbol(symbol)+'{'+result[0]+'}',result[1]];
}
case BINARY:
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
result = AMQTparseSexpr(str);
if (result[0]==null) return [AMQTgetTeXsymbol(symbol),str];
result[0] = AMQTremoveBrackets(result[0]);
var result2 = AMQTparseSexpr(result[1]);
if (result2[0]==null) return [AMQTgetTeXsymbol(symbol),str];
result2[0] = AMQTremoveBrackets(result2[0]);
if (symbol.input=="color") {
newFrag = '{\\color{'+result[0].replace(/[\{\}]/g,'')+'}'+result2[0]+'}}';
}
if (symbol.input=="root" || symbol.input=="stackrel") {
if (symbol.input=="root") {
newFrag = '\\nthroot{'+result[0]+'}{'+result2[0]+'}';
} else {
newFrag = AMQTgetTeXsymbol(symbol)+'{'+result[0]+'}{'+result2[0]+'}';
}
}
if (symbol.input=="frac") {
newFrag = '\\frac{'+result[0]+'}{'+result2[0]+'}';
}
return [newFrag,result2[1]];
case INFIX:
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
return [symbol.output,str];
case SPACE:
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
return ['\\quad\\text{'+symbol.input+'}\\quad',str];
case LEFTRIGHT:
// if (rightvert) return [null,str]; else rightvert = true;
AMQnestingDepth++;
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
result = AMQTparseExpr(str,false);
AMQnestingDepth--;
var st = "";
st = result[0].charAt(result[0].length -1);
//alert(result[0].lastChild+"***"+st);
if (st == "|") { // its an absolute value subterm
node = '\\left|'+result[0];
return [node,result[1]];
} else { // the "|" is a \mid
node = '\\mid';
return [node,str];
}
default:
//alert("default");
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
return [AMQTgetTeXsymbol(symbol),str];
}
}
function AMQTparseIexpr(str) {
var symbol, sym1, sym2, node, result, underover;
str = AMQremoveCharsAndBlanks(str,0);
sym1 = AMQgetSymbol(str);
result = AMQTparseSexpr(str);
node = result[0];
str = result[1];
symbol = AMQgetSymbol(str);
if (symbol.ttype == INFIX && symbol.input != "/") {
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
// if (symbol.input == "/") result = AMQTparseIexpr(str); else
result = AMQTparseSexpr(str);
if (result[0] == null) // show box in place of missing argument
result[0] = '{}';
else result[0] = AMQTremoveBrackets(result[0]);
str = result[1];
// if (symbol.input == "/") AMQTremoveBrackets(node);
if (symbol.input == "_") {
sym2 = AMQgetSymbol(str);
underover = (sym1.ttype == UNDEROVER);
if (sym2.input == "^") {
str = AMQremoveCharsAndBlanks(str,sym2.input.length);
var res2 = AMQTparseSexpr(str);
res2[0] = AMQTremoveBrackets(res2[0]);
str = res2[1];
node = '{' + node;
node += '_{'+result[0]+'}';
node += '^{'+res2[0]+'}';
node += '}';
} else {
node += '_{'+result[0]+'}';
}
} else { //must be ^
// if (node.match(/^\w+$/)) {
node = node + '^{'+result[0]+'}';
// } else {
// node = '{'+node+'}^{'+result[0]+'}';
// }
}
}
return [node+' ',str];
}
function AMQTparseExpr(str,rightbracket) {
var symbol, node, result, i, nodeList = [],
newFrag = '';
var addedright = false;
do {
str = AMQremoveCharsAndBlanks(str,0);
result = AMQTparseIexpr(str);
node = result[0];
str = result[1];
symbol = AMQgetSymbol(str);
if (symbol.ttype == INFIX && symbol.input == "/") {
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
result = AMQTparseIexpr(str);
if (result[0] == null) // show box in place of missing argument
result[0] = '{}';
else result[0] = AMQTremoveBrackets(result[0]);
str = result[1];
node = AMQTremoveBrackets(node);
node = '\\frac' + '{'+ node + '}';
node += '{'+result[0]+'}';
newFrag += node;
symbol = AMQgetSymbol(str);
} else if (node!=undefined) newFrag += node;
} while ((symbol.ttype != RIGHTBRACKET &&
(symbol.ttype != LEFTRIGHT || rightbracket)
|| AMQnestingDepth == 0) && symbol!=null && symbol.output!="");
if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {
// if (AMQnestingDepth > 0) AMQnestingDepth--;
var len = newFrag.length;
if (len>2 && newFrag.charAt(0)=='{' && newFrag.indexOf(',')>0) { //could be matrix (total rewrite from .js)
var right = newFrag.charAt(len - 2);
if (right==')' || right==']') {
var left = newFrag.charAt(6);
if ((left=='(' && right==')' && symbol.output != '}') || (left=='[' && right==']')) {
var mxout = '\\matrix{';
var pos = new Array(); //position of commas
pos.push(0);
var matrix = true;
var mxnestingd = 0;
var subpos = [];
subpos[0] = [0];
var lastsubposstart = 0;
var mxanynestingd = 0;
for (i=1; i<len-1; i++) {
if (newFrag.charAt(i)==left) mxnestingd++;
if (newFrag.charAt(i)==right) {
mxnestingd--;
if (mxnestingd==0 && newFrag.charAt(i+2)==',' && newFrag.charAt(i+3)=='{') {
pos.push(i+2);
lastsubposstart = i+2;
subpos[lastsubposstart] = [i+2];
}
}
if (newFrag.charAt(i)=='[' || newFrag.charAt(i)=='(') { mxanynestingd++;}
if (newFrag.charAt(i)==']' || newFrag.charAt(i)==')') { mxanynestingd--;}
if (newFrag.charAt(i)==',' && mxanynestingd==1) {
subpos[lastsubposstart].push(i);
}
}
pos.push(len);
var lastmxsubcnt = -1;
if (mxnestingd==0 && pos.length>0) {
for (i=0;i<pos.length-1;i++) {
if (i>0) mxout += '\\\\';
if (i==0) {
//var subarr = newFrag.substr(pos[i]+7,pos[i+1]-pos[i]-15).split(',');
if (subpos[pos[i]].length==1) {
var subarr = [newFrag.substr(pos[i]+7,pos[i+1]-pos[i]-15)];
} else {
var subarr = [newFrag.substring(pos[i]+7,subpos[pos[i]][1])];
for (var j=2;j<subpos[pos[i]].length;j++) {
subarr.push(newFrag.substring(subpos[pos[i]][j-1]+1,subpos[pos[i]][j]));
}
subarr.push(newFrag.substring(subpos[pos[i]][subpos[pos[i]].length-1]+1,pos[i+1]-8));
}
} else {
//var subarr = newFrag.substr(pos[i]+8,pos[i+1]-pos[i]-16).split(',');
if (subpos[pos[i]].length==1) {
var subarr = [newFrag.substr(pos[i]+8,pos[i+1]-pos[i]-16)];
} else {
var subarr = [newFrag.substring(pos[i]+8,subpos[pos[i]][1])];
for (var j=2;j<subpos[pos[i]].length;j++) {
subarr.push(newFrag.substring(subpos[pos[i]][j-1]+1,subpos[pos[i]][j]));
}
subarr.push(newFrag.substring(subpos[pos[i]][subpos[pos[i]].length-1]+1,pos[i+1]-8));
}
}
if (lastmxsubcnt>0 && subarr.length!=lastmxsubcnt) {
matrix = false;
} else if (lastmxsubcnt==-1) {
lastmxsubcnt=subarr.length;
}
mxout += subarr.join('&');
}
}
mxout += '}';
if (matrix) { newFrag = mxout;}
}
}
}
str = AMQremoveCharsAndBlanks(str,symbol.input.length);
if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
node = '\\right'+AMQTgetTeXbracket(symbol); //AMQcreateMmlNode("mo",document.createTextNode(symbol.output));
newFrag += node;
addedright = true;
} else {
newFrag += '\\right.';
addedright = true;
}
}
if(AMQnestingDepth>0 && !addedright) {
newFrag += '\\right.'; //adjust for non-matching left brackets
//todo: adjust for non-matching right brackets
}
return [newFrag,str];
}
AMQinitSymbols();
return function(str) {
AMQnestingDepth = 0;
str = str.replace(/( |\u00a0| )/g,"");
str = str.replace(/>/g,">");
str = str.replace(/</g,"<");
str = str.replace(/\s*\bor\b\s*/g,'" or "');
str = str.replace(/all\s+real\s+numbers/g,'"all real numbers"');
if (str.match(/\S/)==null) {
return "";
}
return AMQTparseExpr(str.replace(/^\s+/g,""),false)[0];
}
}();
/*
\left| expr \right| to abs(expr)
\left( expression \right) to (expression)
\sqrt{expression} to sqrt(expression)
\nthroot{n}{expr} to root(n)(expr)
\frac{num}{denom} to (num)/(denom)
\langle whatever \rangle to < whatever > **not done yet
\begin{matrix} a&b\\c&d \end{matrix} to [(a,b),(c,d)] **not done yet
n\frac{num}{denom} to n num/denom
*/
function MQtoAM(tex) {
tex = tex.replace(/\\:/g,' ');
while ((i=tex.indexOf('\\left|'))!=-1) { //found a left |
nested = 0;
do {
lb = tex.indexOf('\\left|',i+1);
rb = tex.indexOf('\\right|',i+1);
if (lb !=-1 && lb < rb) { //if another left |
nested++;
} else if (rb!=-1 && (lb == -1 || rb < lb)) { //if right |
nested--;
}
} while (nested>0 && rb!=-1); //until nested back to 0 or no right |
if (rb!=-1) { //have a right | - replace with abs( )
tex = tex.substring(0,rb) + ")" + tex.substring(rb+7);
tex = tex.substring(0,i) + "abs(" + tex.substring(i+6);
} else {
tex = tex.substring(0,i) + "|" + tex.substring(i+6);
}
}
tex = tex.replace(/\\text{\s*or\s*}/g,' or ');
tex = tex.replace(/\\text{all\s+real\s+numbers}/g,'all real numbers');
tex = tex.replace(/\\le(?!f)/g,'<=');
tex = tex.replace(/\\ge/g,'>=');
tex = tex.replace(/\\cup/g,'U');
tex = tex.replace(/\\left/g,'');
tex = tex.replace(/\\right/g,'');
tex = tex.replace(/\\langle/g,'<<');
tex = tex.replace(/\\rangle/g,'>>');
tex = tex.replace(/\\cdot/g,'*');
tex = tex.replace(/\\infty/g,'oo');
tex = tex.replace(/\\nthroot/g,'root');
tex = tex.replace(/\\varnothing/g,'DNE');
tex = tex.replace(/\\/g,'');
tex = tex.replace(/sqrt\[(.*?)\]/g,'root($1)');
tex = tex.replace(/(\d)frac/g,'$1 frac');
while ((i=tex.indexOf('frac{'))!=-1) { //found a fraction start
nested = 1;
curpos = i+5;
while (nested>0 && curpos<tex.length-1) {
curpos++;
c = tex.charAt(curpos);
if (c=='{') { nested++;}
else if (c=='}') {nested--;}
}
if (nested==0) {
tex = tex.substring(0,i)+"("+tex.substring(i+5,curpos)+")/"+tex.substring(curpos+1);
} else {
tex = tex.substring(0,i) + tex.substring(i+4);
}
}
tex = tex.replace(/{/g,'(');
tex = tex.replace(/}/g,')');
tex = tex.replace(/\(([\d\.]+)\)\/\(([\d\.]+)\)/g,'$1/$2'); //change (2)/(3) to 2/3
tex = tex.replace(/_{(\d+)}/g,'_$1');
tex = tex.replace(/\^\(-1\)/g,'^-1');
return tex;
}