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umath2latex.js
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// umath2latex.js: a Parser for UnicodeMath to a latex string
// Peter Jipsen, Version of 2019-01-10, math.chapman.edu/~jipsen/UnicodeMath
// Based on Douglas Crockford's Top Down Operator Precedence
// In turn based on Vaughn Pratt's 1973 top down parsing algorithm
// http://javascript.crockford.com/tdop/index.html
// nud = null denotation
// led = left denotation
// bp = binding power
String.prototype.tokens = function () {
var c; // The current character.
var from; // The index of the start of the token.
var i = 0; // The index of the current character.
var length = this.length;
var n; // The number value.
var str; // The string value.
var result = []; // An array to hold the results.
var str_tokens = ["or","ln","and","lim","sin","cos","tan","cot","sec","csc","log","gcd","lcm","det"];
var make = function (typ, sym) { // Make a token object.
return {
typ: typ,
sym: sym,
from: from,
to: i
};
};
// Begin tokenization. If the source string is empty, return nothing.
if (!this) {
return;
}
// Loop through this text, one character at a time.
c = this.charAt(i);
while (c) {
from = i;
// Ignore whitespace.
if (c <= ' ') {
i += 1;
c = this.charAt(i);
// name.
} else if (str_tokens.indexOf(this.slice(i,i+3)) != -1) {
str = this.slice(i,i+3);
i += 3;
result.push(make(null, str));
c = this.charAt(i);
} else if (str_tokens.indexOf(this.slice(i,i+2)) != -1) {
str = this.slice(i,i+2);
i += 2;
result.push(make(null, str));
c = this.charAt(i);
} else if (str = /^[a-zA-Z]{2,}\(/.exec(this.slice(i))) {
str = str.toString().slice(0,-1);
if (str.length==2 && str.charAt(0)=='d') str = "d";
i += str.length;
result.push(make(str=="d"?null:"function", str));
c = this.charAt(i);
} else if (str = /[a-zA-Z]/.exec(c)) {
i += 1;
result.push(make(null, str.toString()));
c = this.charAt(i);
} else if (c=='\\') { // read LaTeX style names, but remove for UnicodeMath
str = c;
i += 1;
c = this.charAt(i);
if (c <= ' ') {
i += 1;
c = this.charAt(i);
} else if (c=='{' || c=='}') {// || c==' '){
str += c;
i += 1;
c = this.charAt(i);
result.push(make(null, str));
} else {
for (;;) {
c = this.charAt(i);
if ((c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z')){
str += c;
i += 1;
} else {
break;
}
}
result.push(make(null, str));
}
// number.
// A number cannot start with a decimal point. It must start with a digit, possibly '0'.
} else if (c >= '0' && c <= '9') {
str = c;
i += 1;
// Look for more digits.
for (;;) {
c = this.charAt(i);
if (c < '0' || c > '9') {
break;
}
i += 1;
str += c;
}
// Look for a decimal fraction part.
if (c === '.') {
i += 1;
str += c;
for (;;) {
c = this.charAt(i);
if (c < '0' || c > '9') {
break;
}
i += 1;
str += c;
}
}
// Convert the string to a number. If it is finite, then it is a good token.
n = +str;
if (isFinite(n)) {
result.push(make('number', str));
} else {
make('number', str).error("Bad number");
}
// comment.
} else if (c === '%') {
do {
i += 1;
c = this.charAt(i);
}
while (c !== '\n' && c !== '\r' && c !== '');
// single Unicode character operator
} else {
i += 1;
result.push(make(null, c));
c = this.charAt(i);
}
}
return result;
};
var parse = function (source) {
var symbol_table = {};
var token;
var tokens;
var token_nr;
var advance = function (id) {
var a, o, t, v;
if (id && token.sym !== id) {
token.error("Expected '" + id + "'.");
}
if (token_nr >= tokens.length) {
token = symbol_table[")end)"];
return;
}
t = tokens[token_nr];
token_nr += 1;
v = t.sym;
a = t.typ;
if (!a || a === "set") {
o = symbol_table[v];
if (!o) {
constant(v);
o = symbol_table[v];
}
} else if (a === "number") {
o = symbol_table["(literal)"];
a = "term";
} else {
if (a == "function") { // long name function
constant(v,"\\text{"+v+"}","function");
o = symbol_table[v];
} else t.error("Unexpected token.");
}
token = Object.create(o);
token.error = parseerror;
token.from = t.from;
token.to = t.to;
token.sym = v;
if (a) token.typ = a;
token.bp = o.lbp;
token.toLaTeX = function() {
return this.tex ? this.tex.charAt(0)=="\\"? this.tex+" " : this.tex :
this.sym.charAt(0)=="\\" ? this.sym+" " :
this.sym.length>1 && /[a-zA-Z]/.test(this.sym.charAt(0)) ? "\\"+this.sym : this.sym};
};
var expression = function (rbp, nbl) {
var left, newleft;
var t = token;
//console.log("***"+t.sym)
advance();
left = t.nud();
while (rbp<token.lbp || (token.lbp==0 && !nbl && rbp<72)) {
if (token.lbp==0 && !nbl && rbp<72) {
t = Object.create(symbol_table["\\,"]);
t.sym = "\\,";
t.bp = 72;
t.error = parseerror;
t.typ = "term";
newleft = t.led(left, true);
if (left.sym == "\\,") {
left.arg.push(newleft.arg[1]);
} else left = newleft;
}
if (rbp<token.lbp) {
t = token;
advance();
left = t.led(left, nbl);
}
}
return left;
};
var wrapLaTeX = function (subt, t, infix_r, brace) {
//console.log(subt.sym+":::"+subt.arg);
if (subt.bp > t.bp || !subt.arg || //subt.bp == t.bp && !infix_r || //subt.arg3 ||
subt.arg && subt.arg.length==0 || subt.sym == t.sym && t.arg.length==1)
return subt.toLaTeX();
if (brace) return "{"+subt.toLaTeX()+"}";
var st = subt.toLaTeX()
if (st.charAt(0) == "[") return st;
return '('+st+')';
};
var original_symbol = {
nud: function () {
return this
this.error("Undefined null denotation: ");
},
led: function (left) {
this.error("Missing operator.");
}
};
var symbol = function (id, tex, bp, typ) {
var s = symbol_table[id];
bp = bp || 0;
if (s) {
s.tex = tex;
if (bp >= s.lbp) {
s.lbp = bp;
}
} else {
s = Object.create(original_symbol);
s.sym = id;
s.tex = tex;
if (typ) s.typ = typ;
s.lbp = bp;
s.error = parseerror;
symbol_table[id] = s;
}
return s;
};
infx = /['^:,+⋅/)]/
var constant = function (s, tex, typ) {
var x = symbol(s, tex, 0, typ);
x.nud = function () {
var s = symbol_table[this.sym];
this.sym = s.sym
if (s.typ) this.typ = s.typ;
if (this.typ=="function" && !(infx.test(token.sym.charAt(0)))) {
this.arg = expression(100);
this.bp = 100
this.toLaTeX = function(){
if (this.arg) {
var st = wrapLaTeX(this.arg,this)
var fl = st.charAt(0)=="(" || st.charAt(0) == "["
return this.tex+(fl?"":"(")+st+(fl?"":")")
} else return this.tex;
};
}
return this;
};
//x.sym = s;
};
var constants = function (a, typ) {
for (var i in a) constant(a[i], a[i], typ);
};
var infix = function (id, tex, bp, led) {
var s = symbol(id, tex, bp);
s.led = led || function (left, nbl) {
this.arg = left;
this.arg2 = expression(bp, nbl);
if (bp<=35) this.typ = this.arg.typ=="formula"&&this.arg2.typ=="formula"?"formula":"error";
else if (this.typ=="set") this.typ=this.arg.typ=="set"&&this.arg2.typ=="set"?"set":"error";
else { //check if all are term or func or null
if (this.arg.typ) {
if (this.arg.typ=="formula"||this.arg.typ=="set") this.typ = "error";
else if (this.arg.typ=="function") this.typ = "function";
} else if (this.arg2.typ) {
if (this.arg2.typ=="formula"||this.arg2.typ=="set") this.typ = "error";
else if (this.arg2.typ=="function") this.typ = "function";
}
if (this.typ != "error") {
if (bp<=40) this.typ = "formula";
else if (this.typ!="function") this.typ = "term";
}
}
this.toLaTeX = function() {
return wrapLaTeX(this.arg,this)+this.tex+
(this.tex.charAt(0)=="\\"?" ":"")+wrapLaTeX(this.arg2,this)
};
return this;
};
};
var infixr = function (id, tex, bp, led) {
var s = symbol(id, tex, bp);
s.led = led || function (left, nbl) {
this.arg = left;
this.arg2 = expression(bp - 1, nbl);
if (bp<=35) this.typ = this.arg.typ=="formula" && this.arg2.typ=="formula"?"formula":"error";
else if (this.typ=="set") this.typ=this.arg.typ=="set" && this.arg2.typ=="set"?"set":"error";
else { //check if all are term or function or null
if (this.arg.typ) {
if (this.arg.typ=="formula" || this.arg.typ=="set") this.typ = "error";
else if (this.arg.typ=="function") this.typ = "function";
} else if (this.arg2.typ) {
if (this.arg2.typ=="formula" || this.arg2.typ=="set") this.typ = "error";
else if (this.arg2.typ=="function") this.typ = "function";
}
if (this.typ != "error") {
if (bp<=40) this.typ = "formula";
else if (this.typ!="function") this.typ = "term";
}
}
this.toLaTeX = function(){
if (this.sym=="^" || this.sym=="_")
return wrapLaTeX(this.arg,this,true)+this.tex+wrapLaTeX(this.arg2,this,true,true);
return wrapLaTeX(this.arg,this)+(this.bp<50?" ":"")+this.tex+
(this.bp<50 || this.tex.charAt(0)=="\\" ? " " : "")+wrapLaTeX(this.arg2,this);
};
return this;
};
};
var checkall = function (a, typ) {
for (var i in a) if (a[i].typ != typ) return false;
return true;
};
var infixchain = function (id, tex, bp, led) {
var s = symbol(id, tex, bp);
s.led = led || function (left, nbl) {
var a = [left];
if (token.sym !== ")end)") {
while (true) {
a.push(expression(bp, nbl));
if (token.sym !== id) {
break;
}
advance(id);
}
}
this.arg = a;
if (bp<=35) this.typ = checkall(a,"formula")?"formula":"error";
else if (this.typ=="set") this.typ = checkall(a,"set")?"set":"error";
else if (this.sym=="∈") this.typ = checkall(a.slice(1),"set")?"formula":"error";
else { //check if all are term or func or null
for (var i in a) {
if (a[i].typ)
if (a[i].typ=="formula" || a[i].typ=="set") {this.typ = "error"; break;}
else if (a[i].typ=="function")
this.typ = this.sym=="\\," && a[a.length-1].typ!="function"?"term":"function";
}
if (this.typ != "error") {
if (bp<=40) this.typ = "formula";
else if (this.typ!="function") this.typ = "term";
}
}
if (this.typ=="error")
if (this.sym=="=") this.typ = checkall(a,"set")?"set":"error";
else if (this.sym=="\\,") {
if (this.arg.length==2&&this.arg[0].typ=="function"&&this.arg[1].typ=="set")
this.typ = "set";
else for (var i in a) if (a[i].sym=="\\mbox") {this.typ = "formula"; break;}
}
this.toLaTeX = function(){
var st = this.arg.length==0 ? this.tex : wrapLaTeX(this.arg[0],this);//,true);
if (this.sym=="\\,") {
for (var i=1; i<this.arg.length; i++) {
if (i==this.arg.length-1 && this.arg[i].arg3) //prefixop
st += " "+this.arg[i].toLaTeX();
else st += wrapLaTeX(this.arg[i],this,true); //deleted space after +=
}
return st;
}
var st1 = this.bp<50 && this.sym!="," ? " " : ""
var st2 = (this.bp<50 || this.tex.charAt(0)=="\\") && this.sym!="," ? " " : ""
for (var i=1; i<this.arg.length; i++)
st += st1+this.tex+st2+wrapLaTeX(this.arg[i],this,true);
return st;
};
return this;
};
};
var postfix = function (id, tex, bp, led) {
var s = symbol(id, tex, bp);
s.led = led || function (left) {
this.arg = left;
this.bp = bp;
if (left.typ) this.typ = left.typ;
this.toLaTeX = function(){return wrapLaTeX(this.arg,this)+this.tex};
return this;
};
};
var prefix = function (id, tex, bp, nud) {
var s = symbol(id, tex);
s.nud = nud || function () {
if (!infx.test(token.sym.charAt(0))) {
this.arg = expression(bp);
this.bp = bp;
this.toLaTeX = function(){return this.tex+" "+wrapLaTeX(this.arg,this)};
}
return this;
};
};
var prefixop = function (id, tex, bp, nud) {
var s = symbol(id, tex);
s.nud = nud || function () {
if (token.sym === "_") {
advance("_");
this.arg = expression(75, true);
}
if (token.sym === "^") {
advance("^");
this.arg2 = expression(bp, true);
}
this.arg3 = expression(bp);
this.bp = bp;
this.typ = (!this.arg||this.arg.typ=="formula"||!this.arg.typ)&&
(!this.arg2||this.arg2.typ=="term"||!this.arg2.typ)&&
(this.arg3.typ==this.typ||!this.arg3.typ)?this.typ:"error";
this.toLaTeX = function(){
return this.tex+(this.arg?"_"+wrapLaTeX(this.arg,this,false,true):"")+
(this.arg2?"^"+wrapLaTeX(this.arg2,this,false,true):" ")+
wrapLaTeX(this.arg3,this);
};
return this;
};
};
var aroundfix = function (idl, idr, texl, texr, bp, nud) {
var sl = symbol(idl, texl);
symbol(idr, texr, -1);
sl.nud = nud || function () {
this.arg = expression(45);
advance(idr);
this.typ = this.arg.typ=="term"||this.arg.typ=="set"||!this.arg.typ?"term":"error";
this.bp = bp;
this.toLaTeX = function(){return texl+this.arg.toLaTeX()+texr};
return this;
};
};
var quantifier = function (id, tex, bp, nud) {
var s = symbol(id, tex);
s.nud = nud || function () {
this.arg = expression(bp, true);
this.arg2 = expression(bp);
this.typ = (this.arg.typ=="formula"||!this.arg.typ)&&(this.arg2.typ=="formula"||!this.arg2.typ)?"formula":"error";
this.bp = bp;
this.toLaTeX = function() {
var nxt = this.arg2.sym=="∀" || this.arg2.sym=="∃";
return tex+" "+this.arg.toLaTeX()+(nxt?"":"(")+this.arg2.toLaTeX()+(nxt?"":")");
};
return this;
};
};
var op = function (bp, fix, lst, same) {
var id, tex;
if (!lst.length) lst = [lst]
for (var i in lst) {
id = same?lst[i]:lst[i].charAt(0)
tex = "\\"+(same?lst[i]:lst[i].slice(2))
if (fix=="prefix") prefix(id, tex, bp);
else if (fix=="prefixop") prefixop(id, tex, bp);
else if (fix=="constant") constant(id, tex, bp);
else if (fix=="infix") infix(id, tex, bp);
else if (fix=="infixchain") infixchain(id, tex, bp);
}
};
symbol(")end)", "", -1);
symbol(")", ")", -1);
symbol("]", "]", -1);
symbol("}", "}", -1);
symbol("\\}", "\\}", -1);
symbol("(literal)", "").nud = function() {return this;};
prefix("(", "(", 0, function () {
var e = expression(0);
advance(")");
return e;
});
prefix("{", "{", 0, function () {
var e = expression(0);
advance("}");
return e;
});
op(0, "constant", ["α alpha", "β beta", "χ chi", "δ delta", "Δ Delta", "γ gamma", "Γ Gamma",
"ϵ epsilon", "ɛ varepsilon", "η eta", "κ kappa", "λ lambda", "Λ Lambda", "μ mu", "ν nu",
"ω omega", "Ω Omega", "ϕ phi", "φ varphi", "Φ Phi", "π pi", "Π Pi", "ψ psi", "Ψ Psi",
"ρ rho", "σ sigma", "Σ Sigma", "τ tau", "θ theta", "ϑ vartheta", "Θ Theta", "υ upsilon",
"ξ xi", "Ξ Xi", "ζ zeta"])
op(0, "constant", ["ℕ mathbb N", "ℤ mathbb Z", "ℚ mathbb Q", "ℝ mathbb R", "ℂ mathbb C",
"∅ emptyset", "℘ wp", "ℵ aleph", "ℶ beth", "ℑ Im", "ℜ Re", "∠ angle", "⦜ Angle",
"⊥ bot", "⊤ top", "✓ checkmark", "♣ clubsuit", "♢ diamondsuit", "♡ heartsuit", "♠ spadesuit",
"† dagger", "° degree", "… dots", "⋰ adots", "⋯ cdots", "⋱ ddots", "ℓ ell", "€ euro",
"♭ flat", "♯ sharp", "⌢ frown", "⌣ smile", "ħ hbar", "∞ infty"]);
constants(["f","g","F","G"], "function");
//constants(["∩","∪","∖","⋃","⋂","⊂","⊆","⊃","⊇"], "set");
//constants(["\\bigvee","\\bigwedge","\\lor","\\land","\\neg","\\iff"], "formula");
//metaLogical symbols
infixr("⊢", "\\vdash", 10);
infixr("⊨", "\\models", 10);
infix("∣", "\\mid", 15);
infix(":", ":", 15);
//logical symbols
infixr("⟹", "\\implies", 20); // uses amsmath pkg
infixr("⟸", "\\impliedby", 20); // uses amsmath pkg
infixr("⟺", "\\iff", 20);
infixchain("and", "\\text{ and }", 30);
infixchain("or", "\\text{ or }", 30);
prefix("¬", "\\neg", 35);
quantifier("∀", "\\forall", 35);
quantifier("∃", "\\exists", 35);
//relation symbols
infixchain("=", "=", 40);
infixchain("<", "<", 40);
infixchain(">", ">", 40);
op(40, "infixchain", ["∈ in", "≠ ne", "≈ approx", "≅ cong", "≡ equiv", "≤ le", "≥ ge",
"⊂ subset", "⊆ subseteq", "⊃ supset", "⊇ supseteq", "≯ ngtr", "≮ nless", "∤ nmid",
"≺ prec", "⊀ nprec", "⪯ preceq", "≻ succ", "⊁ nsucc", "⪰ succeq", "∥ parallel", "∦ nparallel",
"∝ propto", "∼ sim", "⊏ sqsubset", "⊑ sqsubseteq", "⊐ sqsupset", "⊒ sqsupseteq"]);
infixr("R", "R", 40); //relation symbol
infixchain(",", ",", 45);
//function symbols
infix("-", "-", 50);
infix("+", "+", 50);
op(50, "infix", ["∖ setminus", "∪ cup", "∩ cap", "⊎ uplus", "∨ vee", "∧ wedge", "± pm",
"⊖ ominus", "⊕ oplus", "⊓ sqcap", "⊔ sqcup", "◃ triangleleft", "▹ triangleright"]);
infixchain("→", "\\to", 50);
prefix("∁", "\\complement", 50);
prefix("∂", "\\partial", 50);
prefix("∇", "\\del", 50);
op(50, "prefixop", ["⋁ bigvee", "⋀ bigwedge", "⋃ bigcup", "⋂ bigcap", "⨄ biguplus", "∑ sum",
"∫ int", "∬ iint", "∭ iiint", "∮ oint", "∯ oiint", "∰ oiiint", "∐ coprod"]);
prefixop("lim", "\\lim", 50);
op(60, "infix", ["⋅ cdot", "∘ circ", "⊙ odot", "⊘ oslash", "⦸ obslash", "⨿ amalg",
"⋉ ltimes", "⋊ rtimes", "⋈ bowtie", "⅋ upand", "≀ wr"]);
infixchain("×", "\\times", 60);
infix("*", "*", 60);
infix("/", "/", 60);
prefixop("∏", "\\prod", 60);
prefix("◊", "\\lozenge", 65);
prefix("□", "\\square",65);
op(70, "prefix", ["sin","cos","tan","cot","sec","csc","ln","gcd","lcm","det","div","mod"], true);
op(70, "prefix", ["↓ downarrow", "↑ uparrow", "↕ updownarrow", "⇓ Downarrow", "⇑ Uparrow", "⇕ Updownarrow",
"↪ hookrightarrow", "↣ rightarrowtail", "↠ twoheadrightarrow", "↦ mapsto", "↤ mapsfrom",
"← leftarrow, ↔ leftrightarrow", "⇒ Rightarrow", "⇐ Leftarrow", "⇔ Leftrightarrow"])
prefixop("log", "\\log", 70);
prefix("±", "\\pm", 70);
infixchain("\\,", "\\,", 72);
infixr("^", "^", 75);
infixr("_", "_", 77);
aroundfix("|", "|", "|", "|", 80);
aroundfix("⌊", "⌋", "\\lfloor ", "\\rfloor ", 80);
aroundfix("⌈", "⌉", "\\lceil ", "\\rceil", 80);
aroundfix("⟨", "⟩", "\\langle", "\\rangle", 100);
aroundfix("⟦", "⟧", "\\llbracket", "\\rrbracket", 100);
postfix("'", "'", 100);
infix("|", "|", 37, function (left, nbl) {
this.arg = left;
this.arg2 = expression(37, nbl);
if (token.sym == "|") {
advance();
var t = Object.create(symbol_table["\\,"]);
var right = Object.create(symbol_table["|"]);
right.sym = "|";
t.sym = "\\,";
t.bp = 72;
t.error = right.error = parseerror;
right.bp = 80;
right.arg = this.arg2;
right.typ = right.arg.typ=="term"||right.arg.typ=="set"||!right.arg.typ?"term":"error";
right.toLaTeX = function(){return "|"+this.arg.toLaTeX()+"|"};
t.typ = left.typ=="term"&&right.typ=="term"?"term":"error";
t.arg = [left, right];
t.toLaTeX = function(){
var st = this.arg.length==0 ? this.tex : wrapLaTeX(this.arg[0],this,true);
for (var i=1; i<this.arg.length; i++) {
if (i==this.arg.length-1 && this.arg[i].arg3) //prefixop
st += " "+this.arg[i].toLaTeX();
else st += " "+wrapLaTeX(this.arg[i],this,true);
}
return st;
}
return t;
}
this.typ = (this.arg.typ=="term"||!this.arg.typ)&&(this.arg2.typ=="term"||!this.arg2.typ)?"formula":"error";
this.toLaTeX = function(){
return wrapLaTeX(this.arg,this)+this.tex+wrapLaTeX(this.arg2,this)};
return this;
});
prefix("\\{", "\\{", 38, function () {
var a = [];
if (token.sym !== "\\}") {
a.push(expression(38,true));
if (token.sym == "|" || token.sym == ":" || token.sym == "∣") {
advance();
this.arg = a[0];
this.arg2 = expression(10);
} else if (token.sym == ",") {
advance(",");
while (true) {
a.push(expression(0));
if (token.sym !== ",") {
break;
}
advance(",");
}
this.arg = a;
} else this.arg = a;
} else this.arg = a;
advance("\\}");
this.typ = "set";
this.bp = 60;
this.toLaTeX = function(){
if (this.arg2) return "\\{"+this.arg.toLaTeX()+" \\mid "+this.arg2.toLaTeX()+"\\}";
var st = this.arg.length==0 ? "" : this.arg[0].toLaTeX();
for (var i=1; i<this.arg.length; i++) st += ", "+this.arg[i].toLaTeX();
return "\\{"+st+"\\}"
};
return this;
});
prefix("-", "-", 70, function () { // x → a^- or x → a^+ fix this
if (token.sym=="}") {
this.toLaTeX = function(){return this.tex};
return this;
}
try {
this.arg = expression(70);
} catch(e) {
if (e.name=="SyntaxError") {
this.toLaTeX = function(){return this.tex};
return this;
}
}
this.bp = 70;
this.toLaTeX = function(){return this.tex+wrapLaTeX(this.arg,this)};
return this;
});
prefix("√", "\\sqrt", 100, function () {
if (token.sym=="[") {
advance("[");
this.arg2 = expression(40);
advance("]");
}
this.arg = expression(100);
this.typ = (this.arg.typ=="term"||!this.arg.typ)&&(!this.arg2||this.arg2.typ=="term"||!this.arg2.typ)?"term":"error";
this.bp = 100;
this.toLaTeX = function(){
return "\\sqrt"+(this.arg2?"["+this.arg2.toLaTeX()+"]":"")+"{"+this.arg.toLaTeX()+"}";
};
return this;
});
prefix("[", "[", 100, function () {
this.arg = expression(45);
advance("]");
this.typ = this.arg.typ=="term"||this.arg.typ=="set"||!this.arg.typ?"term":"error";
this.bp = 80;
this.toLaTeX = function(){return "["+this.arg.toLaTeX()+"]"};
return this;
});
tokens = source.tokens();
token_nr = 0;
advance();
var s = expression(0);
return s;
};
// Transform a token object into an exception object and throw it.
parseerror = function (message, t) {
t = t || this;
t.name = "SyntaxError";
t.message = message+t.sym+t.tex;
throw t;
};
function prefixform(tree) { // to check how expression was parsed
var st, ar, i
st = tree.sym + "("
if (tree.arg) {
ar = tree.arg
if (ar.length) {
for (var i=0; i<ar.length-1; i++) st += prefixform(ar[i]) + ","
st += prefixform(ar[ar.length-1])
} else {
st += prefixform(ar)
}
}
if (tree.arg2) st += "," + prefixform(tree.arg2)
if (tree.arg3) st += "," + prefixform(tree.arg3)
return st.slice(-1)=="(" ? st.slice(0,-1) : st + ")" //remove () on constants
}
convert = function(str) {
var tree, st = "", tex, tst = "";
var arr = str.split("\n")
for (i in arr) {
if (arr[i]!="") {
tree = parse(arr[i])
tex = tree.toLaTeX()
st += arr[i]+"\n"+tex+"\n\n"+prefixform(tree)+"\n\n"
tst += "$"+tex+"$<p>"
}
}
return [st,tst];
};
/*
process.stdin.on('data', function (data) {
var tree
arr = data.toString().split("\n")
for (i in arr) {
if (arr[i]!="") {
tree = parse(arr[i])
console.log(arr[i]+"\n"+tree.toLaTeX()+"\n\n"+prefixform(tree)+"\n");
//console.log("$"+tree.toLaTeX()+"$\n");
}
}
});
*/