There's no need to copy the path twice to split it into base and dir.
We simply call `basename()` first, then handle the two trivial cases in
which it isn't safe to call `dirname()`.
While here, add an early check that the destination is not an empty
string. This would always fail eventually, so it may as well fail
right away. Also add a test case for this shortcut.
MFC after: 1 week
Sponsored by: Klara, Inc.