Test deep equality *with sharing* of JavaScript objects

Question

Much ink has been spilled on the subject of testing two objects for deep equality in JavaScript. None, however, seem to care about distinguishing the following two objects:<

Answer 1

Version with no ES6 features that runs in quadratic time:

function deepGraphEqual(a, b) {
    var left = [], right = [], has = Object.prototype.hasOwnProperty;
    function visit(a, b) {
        var i, k;
        if (typeof a !== 'object' || typeof b !== 'object' || a === null || b === null)
            return a === b;
        if (Object.getPrototypeOf(a) !== Object.getPrototypeOf(b))
            return false;
        for (i = 0; i < left.length; i++) {
            if (a === left[i])
                return b === right[i];
            if (b === right[i])
                return a === left[i];
        }
        for (k in a)
            if (has.call(a, k) && !has.call(b, k))
                return false;
        for (k in b)
            if (has.call(b, k) && !has.call(a, k))
                return false;
        left.push(a);
        right.push(b);
        for (k in a)
            if (has.call(a, k) && !visit(a[k], b[k]))
                return false;
        return true;
    }
    return visit(a, b);
}

Version with ES6 Map that runs in linear time:

function deepGraphEqual(a, b) {
    let left = new Map(), right = new Map(), has = Object.prototype.hasOwnProperty;
    function visit(a, b) {
        if (typeof a !== 'object' || typeof b !== 'object' || a === null || b === null)
            return a === b;
        if (Object.getPrototypeOf(a) !== Object.getPrototypeOf(b))
            return false;
        if (left.has(a))
            return left.get(a) === b
        if (right.has(b))
            return right.get(b) === a
        for (let k in a)
            if (has.call(a, k) && !has.call(b, k))
                return false;
        for (let k in b)
            if (has.call(b, k) && !has.call(a, k))
                return false;
        left.set(a, b);
        right.set(b, a);
        for (let k in a)
            if (has.call(a, k) && !visit(a[k], b[k]))
                return false;
        return true;
    }
    return visit(a, b);
}