Given I have a circular reference in a large JavaScript object
And I try JSON.stringify(problematicObject)
And the browser throws
@tmack's answer is definitely what I was looking for when I found this question!
Unfortunately it returns many false positives - it returns true if an object is replicated in the JSON, which isn't the same as circularity. Circularity means that an object is its own child, e.g.
obj.key1.key2.[...].keyX === obj
I modified the original answer, and this is working for me:
function isCyclic(obj) {
  var keys = [];
  var stack = [];
  var stackSet = new Set();
  var detected = false;
  function detect(obj, key) {
    if (obj && typeof obj != 'object') { return; }
    if (stackSet.has(obj)) { // it's cyclic! Print the object and its locations.
      var oldindex = stack.indexOf(obj);
      var l1 = keys.join('.') + '.' + key;
      var l2 = keys.slice(0, oldindex + 1).join('.');
      console.log('CIRCULAR: ' + l1 + ' = ' + l2 + ' = ' + obj);
      console.log(obj);
      detected = true;
      return;
    }
    keys.push(key);
    stack.push(obj);
    stackSet.add(obj);
    for (var k in obj) { //dive on the object's children
      if (Object.prototype.hasOwnProperty.call(obj, k)) { detect(obj[k], k); }
    }
    keys.pop();
    stack.pop();
    stackSet.delete(obj);
    return;
  }
  detect(obj, 'obj');
  return detected;
}
Here are a few very simple tests:
var root = {}
var leaf = {'isleaf':true};
var cycle2 = {l:leaf};
var cycle1 = {c2: cycle2, l:leaf};
cycle2.c1 = cycle1
root.leaf = leaf
isCyclic(cycle1); // returns true, logs "CIRCULAR: obj.c2.c1 = obj"
isCyclic(cycle2); // returns true, logs "CIRCULAR: obj.c1.c2 = obj"
isCyclic(leaf); // returns false
isCyclic(root); // returns false