[javascript] Object comparison in JavaScript

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

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