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umath2json.js
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// umath2json.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 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 (c >= 'a' && c <= 'z') {
str = c;
i += 1;
result.push(make(null, str));
c = this.charAt(i);
} else if (c >= 'A' && c <= 'Z') {
str = c;
i += 1;
result.push(make('set', str));
c = this.charAt(i);
} else if (c=='\\') {
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;
}
}
if (str=="\\mbox") {
str = "";
i += 1;
c = this.charAt(i);
while (c>=' ' && c!='}') {
str += c;
i += 1;
c = this.charAt(i);
}
i += 1;
c = this.charAt(i);
result.push(make(null, '\\mbox'));
} else if (str=="\\left") {
str += c;
i += 1;
c = this.charAt(i);
} else if (str=="\\right") {
str += c;
i += 1;
c = this.charAt(i);
}
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-character operator
} else {
i += 1;
result.push(make(null, c));
c = this.charAt(i);
}
}
return result;
};
var make_parse = function () {
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 {
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.sym.charAt(0)=="\\" ? this.sym+" " : this.sym};
};
var expression = function (rbp, nbl) {
var left, newleft;
var t = token;
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 original_symbol = {
nud: function () {
this.error("Undefined.");
},
led: function (left) {
this.error("Missing operator.");
}
};
var symbol = function (id, bp, typ, vsym) {
var s = symbol_table[id];
bp = bp || 0;
if (s) {
if (bp >= s.lbp) {
s.lbp = bp;
}
} else {
s = Object.create(original_symbol);
s.sym = id;
if (typ) s.typ = typ;
if (vsym) s.vsym = vsym;
s.lbp = bp;
s.error = parseerror;
symbol_table[id] = s;
}
return s;
};
var constant = function (s, v, typ, vsym) {
var x = symbol(s, 0, typ, vsym);
x.nud = function () {
var s = symbol_table[this.sym];
//console.log("***"+this.sym+"*"+this.typ+"****"+s.typ+"** ")
//this.sym = s.sym
if (s.typ) this.typ = s.typ;
if (s.vsym) this.vsym = s.vsym;
if (this.typ=="function") {
this.arg = expression(71);
this.bp = 71;
this.toLaTeX = function(){return this.sym+" "+wrapLaTeX(this.arg,this)};
}
return this;
};
x.sym = v?v:s;
};
var constants = function (a, typ, vsym) {
for (var i in a) constant(a[i], a[i], typ, vsym);
};
var infix = function (id, bp, led) {
var s = symbol(id, 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(){
if (this.sym=="\\choose")
return "{"+this.arg.toLaTeX()+"\\choose "+this.arg2.toLaTeX()+"}";
return wrapLaTeX(this.arg,this)+this.sym+
(this.sym.charAt(0)=="\\"?" ":"")+wrapLaTeX(this.arg2,this)};
return this;
};
};
var infixr = function (id, bp, led) {
var s = symbol(id, 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 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(){
if (this.sym=="^" || this.sym=="_")
return wrapLaTeX(this.arg,this,true)+this.sym+wrapLaTeX(this.arg2,this,true,true);
return wrapLaTeX(this.arg,this)+(this.bp<50?" ":"")+this.sym+(this.bp<50?" ":"")+
(this.sym.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, bp, led) {
var s = symbol(id, 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=="\\in") 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.sym : wrapLaTeX(this.arg[0],this);//,true);
if (this.sym=="\\,") {
for (var i=1; i<this.arg.length; i++) {
if (this.arg[i-1].typ=="function" && this.arg[i-1].vsym)
st += "("+this.arg[i].toLaTeX()+")";
else 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;
}
for (var i=1; i<this.arg.length; i++)
st += (this.bp<50?" ":"")+this.sym+(this.bp<50||this.sym.charAt(0)=="\\"?" ":"")+
wrapLaTeX(this.arg[i],this,true);
return st;
};
return this;
};
};
var postfix = function (id, bp, led) {
var s = symbol(id, bp);
s.led = led || function (left) {
this.arg = left;
this.bp = bp;
if (left.typ) this.typ = left.typ;
if (left.vsym) this.vsym = left.vsym;
this.toLaTeX = function(){return wrapLaTeX(this.arg,this)+this.sym};
return this;
};
};
var prefix = function (id, bp, nud) {
var s = symbol(id);
s.nud = nud || function () {
this.arg = expression(bp);
this.bp = bp;
this.typ = this.sym=="\\mathbb" || this.sym=="\\mathcal"?"set":
this.arg.typ=="term"?"term":"error";
if (this.sym=="\\mathcal" && this.arg.sym=="P") { //get rid of this hack
this.typ = "function";
this.vsym = true;
}
this.toLaTeX = function(){return this.sym+" "+wrapLaTeX(this.arg,this)};
return this;
};
};
var prefixLaTeX = function (id) {
var s = symbol(id);
s.nud = function () {
this.arg = expression(100);
this.bp = 100;
this.typ = this.arg.typ?this.arg.typ:"formula";
this.toLaTeX = function(){return this.sym+"{"+this.arg.toLaTeX()+"}"};
return this;
};
};
var prefixop = function (id, bp, nud) {
var s = symbol(id);
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.sym+(this.arg?"_{"+this.arg.toLaTeX()+"}":"")+
(this.arg2?"^"+wrapLaTeX(this.arg2,this,false,true):" ")+
wrapLaTeX(this.arg3,this);
};
return this;
};
};
symbol("(end)", -1);
symbol("|", -1);
symbol(")", -1);
symbol("]", -1);
symbol("}", -1);
symbol("\\rfloor", -1);
symbol("\\rceil", -1);
symbol("\\right)", -1);
symbol("\\}", -1);
symbol("(literal)").nud = function() {return this;};
constants(["f","g","F","G"], "function", true);
constants(["L"], "term");
constants(["\\sin","\\cos","\\tan","\\cot","\\sec","\\csc","\\ln","\\log","\\gcd","\\lcm","\\det"], "function");
constants(["\\cap","\\cup","\\setminus","\\bigcup","\\bigcap","\\subset","\\subseteq","\\supset","\\supseteq"], "set");
constants(["\\bigvee","\\bigwedge","\\lor","\\land","\\neg","\\iff"], "formula", true);
isMetaLogical = function(s) {return s.bp <20};
infixr("\\vdash", 10);
infixr("\\models", 10);
infix("\\mid", 15);
infix(":", 15);
//logical symbols
isLogical = function(s) {return 20<=s.bp && s.bp<39};
infixr("\\to", 20);
infixr("\\implies", 20);
infixr("\\Longrightarrow", 20);
infixr("\\Rightarrow", 20);
infixr("\\iff", 20);
infixr("\\Leftrightarrow", 20);
infixr("\\equiv", 20);
infixchain("\\land", 30);
infixchain("\\lor", 30);
prefix("\\neg", 35);
//relation symbols
isRelation = function(s) {return 40<=s.bp && s.bp<49};
infixchain("\\in", 40);
infixchain("=", 40);
infixchain("\\ne", 40);
infixchain("\\approx", 40);
infixchain("\\cong", 40);
infixchain("<", 40);
infixchain("\\le", 40);
infixchain(">", 40);
infixchain("\\ge", 40);
infix("|", 37, function (left, nbl) {
//if (nbl) return left;
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.sym : wrapLaTeX(this.arg[0],this,true);
for (var i=1; i<this.arg.length; i++) {
if (this.arg[i-1].typ=="function" && this.arg[i-1].vsym)
st += "("+this.arg[i].toLaTeX()+")";
else 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.sym+wrapLaTeX(this.arg2,this)};
return this;
});
infixr("R", 40); //relation symbol
infixchain("\\subset", 40);
infixchain("\\subseteq", 40);
infixchain("\\supset", 40);
infixchain("\\supseteq", 40);
infixchain(",", 45);
//function symbols
isFunction = function(s) {return 50<=s.bp};
infixchain("\\setminus", 50);
infixchain("\\cup", 50);
infixchain("\\cap", 50);
infixchain("\\vee", 50);
infixchain("\\wedge", 50);
infixchain("+", 50);
infix("-", 50);
infix("\\pm", 50);
infixchain("\\times", 60);
infixchain("\\cdot", 60);
infixchain("\\circ", 60);
infix("/", 60);
infix("\\div", 60);
infix("\\mod", 60);
infix("\\choose", 60);
infixchain("\\,", 72);
infixr("^", 75);
infixr("_", 77);
prefix("-", 70, function () {
if (token.sym=="}") {
this.toLaTeX = function(){return this.sym};
return this;
}
try {
this.arg = expression(70);
} catch(e) {
if (e.name=="SyntaxError") {
this.toLaTeX = function(){return this.sym};
return this;
}
}
this.bp = 70;
this.toLaTeX = function(){return this.sym+" "+wrapLaTeX(this.arg,this)};
return this;
});
prefix("+", 70, function () {
if (token.sym=="}") {
this.toLaTeX = function(){return this.sym};
return this;
}
try {
this.arg = expression(70);
} catch(e) {
if (e.name=="SyntaxError") {
this.toLaTeX = function(){return this.sym};
return this;
}
}
this.bp = 70;
this.toLaTeX = function(){return this.sym+" "+wrapLaTeX(this.arg,this)};
return this;
});
prefix("\\pm", 70);
prefix("\\mathbb", 100);
prefix("\\mathbf", 100);
prefix("\\mathcal", 100);
prefixLaTeX("\\mbox");
prefixLaTeX("\\underline");
postfix("'", 100);
prefixop("\\sum", 50);
prefixop("\\prod", 60);
prefixop("\\bigvee", 40);
prefixop("\\bigwedge", 40);
prefixop("\\bigcup", 60);
prefixop("\\bigcap", 60);
prefix("\\forall", 35, function () {
this.arg = expression(35, true);
this.arg2 = expression(35);
this.typ = (this.arg.typ=="formula"||!this.arg.typ)&&(this.arg2.typ=="formula"||!this.arg2.typ)?"formula":"error";
this.bp = 35;
this.toLaTeX = function() {
if (this.arg2.sym=="\\forall" || this.arg2.sym=="\\exists")
return "\\ \\forall "+this.arg.toLaTeX()+this.arg2.toLaTeX();
return "\\forall "+this.arg.toLaTeX()+"("+this.arg2.toLaTeX()+")";
};
return this;
});
prefix("\\exists", 35, function () {
this.arg = expression(35, true);
this.arg2 = expression(35);
this.typ = (this.arg.typ=="formula"||!this.arg.typ)&&(this.arg2.typ=="formula"||!this.arg2.typ)?"formula":"error";
this.bp = 35;
this.toLaTeX = function() {
if (this.arg2.sym=="\\forall" || this.arg2.sym=="\\exists")
return "\\ \\exists "+this.arg.toLaTeX()+this.arg2.toLaTeX();
return "\\exists "+this.arg.toLaTeX()+"("+this.arg2.toLaTeX()+")";
};
return this;
});
prefix("\\frac", 72, function () {
this.arg = expression(100, true);
this.arg2 = expression(100, true);
this.typ = (this.arg.typ=="term"||!this.arg.typ)&&(this.arg2.typ=="term"||!this.arg2.typ)?"term":"error";
this.bp = 72;
this.toLaTeX = function(){return "\\frac{"+this.arg.toLaTeX()+"}{"+this.arg2.toLaTeX()+"}"};
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("\\lim", 55, function () {
advance("_");
this.arg = expression(55, true);
this.arg2 = expression(55);
this.typ = (this.arg.sym=="\\to")&&(this.arg2.typ=="term"||!this.arg2.typ)?"term":"error";
this.bp = 75;
this.toLaTeX = function(){
return "\\lim_{"+this.arg.toLaTeX()+"}"+this.arg2.toLaTeX();
};
return this;
});
prefix("|", 80, 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;
});
prefix("(", 0, function () {
var e = expression(0);
advance(")");
return e;
});
prefix("\\left(", 0, function () {
var e = expression(0);
advance("\\right)");
return e;
});
prefix("{", 0, function () {
var e = expression(0);
advance("}");
return e;
});
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;
});
prefix("\\lfloor", 80, function () {
this.arg = expression(45);
advance("\\rfloor");
this.typ = this.arg.typ=="term"||!this.arg.typ?"term":"error";
this.bp = 80;
this.toLaTeX = function(){return "\\lfloor "+this.arg.toLaTeX()+"\\rfloor "};
return this;
});
prefix("\\lceil", 80, function () {
this.arg = expression(45);
advance("\\rceil");
this.typ = this.arg.typ=="term"?"term"||!this.arg.typ:"error";
this.bp = 80;
this.toLaTeX = function(){return "\\lceil "+this.arg.toLaTeX()+"\\rceil "};
return this;
});
prefix("\\{", 38, function () {
var a = [];
if (token.sym !== "\\}") {
a.push(expression(38,true));
if (token.sym == "|" || token.sym == ":" || token.sym == "\\mid") {
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;
});
var wrapLaTeX = function (subt, t, infix_r, brace) {
//alert(subt.sym+":::"+subt.arg);
if (subt.bp > t.bp || subt.bp == t.bp && !infix_r || !subt.arg || //subt.arg3 ||
subt.arg && subt.arg.length==0 || subt.sym == t.sym && t.arg.length==1)
return subt.toLaTeX();
if (brace) return "{"+subt.toLaTeX()+"}";
return '('+subt.toLaTeX()+')'; // removed \\left, \\right
};
return function (source) {
tokens = source.tokens();
//st="";for (var i in tokens)st+=tokens[i].sym+" ";
token_nr = 0;
advance();
var s = expression(0);
return s;
};
};
if (typeof Object.create !== 'function') {
Object.create = function (o) {
function F() {}
F.prototype = o;
return new F();
};
}
// Transform a token object into an exception object and throw it.
parseerror = function (message, t) {
t = t || this;
t.name = "SyntaxError";
t.message = message;
throw t;
};
/*
typeerror = function (message, t) {
t = t || this;
t.name = "TypeError";
t.message = message;
throw t;
};
*/
var parse = make_parse();
function prefixform(tree) {
var st, ar, i
st = tree.sym + "("
if (tree.arg) {
ar = tree.arg
if (ar.length) {
for (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 + ")"
}
function goparse(source) {
var string, tree;
tree = parse(source);
if (tree) return tree;
return "undefined"
}
function syntaxcheck(source) {
var tree;
try {
tree = parse(source);
if (tree.typ=="error") return "\\underline{\\underline{"+tree.toLaTeX()+"}}";
return tree.toLaTeX();
} catch (e) {
if (e.name=="SyntaxError") {
return "\\underline{"+source+"}";
} else throw e;
}
}
process.stdin.on('data', function (data) {
var tree
arr = data.toString().split("\n")
for (i in arr) {
if (arr[i]!="") {
tree = goparse(arr[i])
console.log(arr[i]+"\n"+tree.toLaTeX()+"\n"+prefixform(tree)+"\n");
}
}
});