rmdir recursively while empty?

[stuart-little]

This is a suggestion for a possible feature (I found myself having to hand-roll the following recently, and figured it'd make for a good enhancement for File::Directory::Tree).

Suppose you want to remove an empty directory (like rmdir does), and then have that removal bubble up until you encounter a non-empty directory. So:

• for the path /a/b/c/d, if none of those directories have anything else inside, then running this command would remove all of them;
• for the same path, if a/b also contains something else apart from c, then running this command on /a/b/c/d would remove c but stop there (because afterwards /a/b wouldn't be empty).
  In short, something like rmtree but only calling rmdir and not empty-directory.

Perhaps whether rmtree calls empty-directory or not can be passed as a named parameter, defaulting to the current version.