I have modified a bit the code above. for me 0 !== false and null !== undefined. If you do not need such strict check remove one "=" sign in "this[p] !== x[p]" inside the code.
Object.prototype.equals = function(x){
for (var p in this) {
if(typeof(this[p]) !== typeof(x[p])) return false;
if((this[p]===null) !== (x[p]===null)) return false;
switch (typeof(this[p])) {
case 'undefined':
if (typeof(x[p]) != 'undefined') return false;
break;
case 'object':
if(this[p]!==null && x[p]!==null && (this[p].constructor.toString() !== x[p].constructor.toString() || !this[p].equals(x[p]))) return false;
break;
case 'function':
if (p != 'equals' && this[p].toString() != x[p].toString()) return false;
break;
default:
if (this[p] !== x[p]) return false;
}
}
return true;
}
Then I have tested it with next objects:
var a = {a: 'text', b:[0,1]};
var b = {a: 'text', b:[0,1]};
var c = {a: 'text', b: 0};
var d = {a: 'text', b: false};
var e = {a: 'text', b:[1,0]};
var f = {a: 'text', b:[1,0], f: function(){ this.f = this.b; }};
var g = {a: 'text', b:[1,0], f: function(){ this.f = this.b; }};
var h = {a: 'text', b:[1,0], f: function(){ this.a = this.b; }};
var i = {
a: 'text',
c: {
b: [1, 0],
f: function(){
this.a = this.b;
}
}
};
var j = {
a: 'text',
c: {
b: [1, 0],
f: function(){
this.a = this.b;
}
}
};
var k = {a: 'text', b: null};
var l = {a: 'text', b: undefined};
a==b expected true; returned true
a==c expected false; returned false
c==d expected false; returned false
a==e expected false; returned false
f==g expected true; returned true
h==g expected false; returned false
i==j expected true; returned true
d==k expected false; returned false
k==l expected false; returned false