How to register typing.Callable with Python @singledispatch?

Question

Background

Suppose I am to implement a simple decorator @notifyme that prints a message when the decorated function is invoked. I would like the decorator to accept one argument to print a customized message; the argument (along with the parentheses surrounding the argument) may be omitted, in which case the default message is printed:

@notifyme('Foo is invoked!')
def foo():
    pass

@notifyme  # instead of @notifyme()
def bar():
    pass

To allow the parentheses to be omitted, I have to provide two implementations of @notifyme:

1. The first implementation allows the user to customize the message, so it accepts a string as argument and returns a decorator:

   def notifyme_customized(message: str) -> Callable[[Callable], Callable]:
       def decorator(func: Callable) -> Callable:
           def decorated_func(*args, **kwargs):
               print(str)
               return func(*args, **kwargs)
           return decorated_func
       return decorator
   

2. The second implementation is a decorator itself and uses the first implementation to print a default message:

   def notifyme_default(func: Callable) -> Callable:
       return notifyme_customized('The function is invoked.')(func)
   

To make the two implementations above use the same name notifyme, I used functools.singledispatch to dynamically dispatch the call to notifyme to one of the two implementations:

# This is a complete minimal reproducible example

from functools import singledispatch
from typing import Callable

@singledispatch
def notifyme(arg):
    return NotImplemented

@notifyme.register
def notifyme_customized(message: str) -> Callable[[Callable], Callable]:
    def decorator(func: Callable) -> Callable:
        def decorated_func(*args, **kwargs):
            print(str)
            return func(*args, **kwargs)
        return decorated_func
    return decorator

@notifyme.register
def notifyme_default(func: Callable) -> Callable:
    return notifyme_customized('The function is invoked.')(func)

Problem

However, as the code is interpreted by the Python interpreter, it complains that typing.Callable is an invalid type:

Traceback (most recent call last):
  File "demo.py", line 20, in <module>
    def notifyme_default(func: Callable) -> Callable:
  File "C:\Program Files\Python38\lib\functools.py", line 860, in register
    raise TypeError(
TypeError: Invalid annotation for 'func'. typing.Callable is not a class.

I have found this issue on Python bug tracker, according to which it seems to be expected behavior since Python 3.7. Does a solution or workaround exist in Python 3.8 I use currently (or Python 3.9 that has been released recently)?

Thanks in advance.

Answer 1

https://docs.python.org/3/library/collections.abc.html#collections.abc.Callable

from collections import abc

@notifyme.register
def notifyme_default(func: abc.Callable) -> Callable:
    return notifyme_customized('The function is invoked.')(func)

Answer 2

I was unable to use typing.Callable with functools.singledispatch, but I did find a workaround by using a function class reference instead:

from functools import singledispatch
from typing import Callable

function = type(lambda: ())

@singledispatch
def notifyme(arg):
    return NotImplemented

@notifyme.register
def notifyme_customized(message: str) -> Callable[[Callable], Callable]:
    def decorator(func: Callable) -> Callable:
        def decorated_func(*args, **kwargs):
            print(str)
            return func(*args, **kwargs)
        return decorated_func
    return decorator

@notifyme.register
def notifyme_default(func: function) -> Callable:
    return notifyme_customized('The function is invoked.')(func)