get module, class, function name

get_function_name.py

import inspect
from functools import lru_cache
from functools import partial
from typing import Callable


@lru_cache(maxsize=None)
def get_function_name(func: Callable) -> str:
    """
    Get the name of a function.
    """
    # un-partial if needed
    while isinstance(func, partial):
        func = func.func

    # get class if it's a bound method
    cls = None
    # noinspection PyUnresolvedReferences
    if inspect.ismethod(func) or (inspect.isbuiltin(func) and
                                  hasattr(func, '__self__') and
                                  getattr(func.__self__, '__class__', None) is not None):
        for _cls in inspect.getmro(func.__self__.__class__):
            if func.__name__ in _cls.__dict__:
                cls = _cls
                break

    # unbound method
    elif inspect.isfunction(func):
        _cls = getattr(inspect.getmodule(func), func.__qualname__.split('.<locals>')[0].rsplit('.', 1)[0], None)
        if isinstance(_cls, type):
            cls = _cls

    # not a bound method, so there's probably no class, but we can check just in case
    if cls is None:
        cls = getattr(func, '__objclass__', None)

    # get the function name
    module = inspect.getmodule(func)
    if cls is not None:
        return f'<{module.__name__}>.{cls.__name__}.{func.__name__}'
    else:
        return f'<{module.__name__}>.{func.__name__}'