Simple deep object comparision

areObjectsEqual.js

var equalityCheck = function(a, b) {
  if (typeof a === 'object' && typeof b === 'object') {
    if (!compareObjects(a, b)) {
      return false;
    }
  } else if (a !== b) {
    return false;
  }
  return true;
};
var compareObjects = function(a, b) {
  var className = toString.call(a);
  if (className !== toString.call(b)) {
    return false;
  }
  if (toString.call(a) === '[object Array]') {
    var length = a.length
    if (length !== b.length) {
      return false;
    }
    while(length--) {
      if (!equalityCheck(a[length], b[length])) {
        return false;
      }
    }
  } else if (typeof a === 'object') {
    var currentkeys = Object.keys(a);
    var nextKeys = Object.keys(b)
    var length = currentkeys.length;
    if (nextKeys.length !== length) {
      return false;
    }
    while(length--) {
      var key = currentkeys[length];
      if (nextKeys.indexOf(key) === -1) {
        return false;
      }
      if (!equalityCheck(a[key], b[key])) {
        return false;
      }
    }
  } else if (a !== b) {
    return false;
  }
  return true;
}