Get registered directives and their DDOs

When knowing directive name, it is possible to get its DDO with something like this

$injector.get('ngModelDirectiveProvider').$get()

However, it seems that Angular doesn't expose the list of its directives in any way. I'm particularly aimed at built-in Angular directives, this substantially limits the ways Angular's providers could be monkey-patched.

I'm looking for the option to get all registered directives and their DDOs without modifying or parsing Angular source code, if there is any.