Change names of builtin types exposed in the types module

Some builtin types (like int, range, map) are exposed in the builtins module under their names. int.__name__ is "int" and int.__module__ is "builtins". getattr(sys.modules[int.__module__], int.__name__) is int

Other builtin types are exposed in the types module, but their __module__ attribute is still "builtins", and their __name__ attribute is different from the name under which they are accessible in the types module. The relation between names is not obvious, when you see <class 'builtin_function_or_method'>, it is hard to defer that it is types.BuiltinFunctionType.

As result, these types cannot be pickled:

>>> pickle.dumps(types.ClassMethodDescriptorType)
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
_pickle.PicklingError: Can't pickle <class 'classmethod_descriptor'>: attribute lookup classmethod_descriptor on builtins failed

I propose to change attributes __module__, __name__ and __qualname__ of all builtin types exposed in the types modules so that they will match names under which they are accessible.

Linked PRs

• gh-100130
• gh-100142
• gh-100405
• gh-100406

Start by examining the builtin types exposed through the types module, their current module, name, and qualname values, and the linked PRs gh-100130, gh-100142, gh-100405, and gh-100406. Reproduce the types.ClassMethodDescriptorType pickling example; done means the exposed names and metadata match and these types can be pickled.