Union of ParamSpec?

[JulienPalard]

Feature

Currently it's possible to concatenate a type to a paramspec to get a new paramspec.

I think I may need the ability to concatenate two paramspecs, like:

P = ParamSpec('P')
Q = ParamSpec('Q')
R = TypeVar("R")
Callable[Concatenate[P, Q], R]

Pitch

I'm trying to describe partial-like functions, I spotted https://github.com/python/mypy/pull/16939 which solves if for functools.partial (which is good) but still not giving a way to describe other partial-like functions.

Currently I can successfully describe the "removal" of one or multiple parameters:

from collections.abc import Callable
from typing import Concatenate, Generic, ParamSpec, TypeVar

P = ParamSpec('P')
Q = ParamSpec('Q')
S = TypeVar('S')
T = TypeVar('T')
U = TypeVar('U')

def substract_one_parameter(given: T, func: Callable[Concatenate[T, P], U]) -> Callable[P, U]:
    def inner(*args: P.args, **kwargs: P.kwargs) -> U:
        return func(given, *args, **kwargs)
    return inner

def substract_two_parameters(first: S, second: T, func: Callable[Concatenate[S, T, P], U]) -> Callable[P, U]:
    def inner(*args: P.args, **kwargs: P.kwargs) -> U:
        return func(first, second, *args, **kwargs)
    return inner

def int_int_int(a: int, b: int) -> int:
    return a + b

c = substract_one_parameter(1, int_int_int)
reveal_type(c)  # def (b: builtins.int) -> builtins.int
print(c(2))

d = substract_two_parameters(1, 2, int_int_int)
reveal_type(d)  # def () -> builtins.int
print(d())

But what I think I need is:

# P are the "removed" parameters
# Q are the "kept" parameters
def substract_n_parameters(func: Callable[Concatenate[P, Q], U], *outer_args: P.args, **outer_kwargs: P.kwargs) -> Callable[Q, U]:
    def inner(*args: Q.args, **kwargs: Q.kwargs) -> U:
        return func(*outer_args, *args, **outer_kwargs, **kwargs)
    return inner

I feel that would cleanly express the "removal" of P from [P, Q], without the need to introduce a new function like Difference[P, Q].

I feel like this could also be used for the real functools.partial, maybe simplifying the current (working, yeah) implementation.

[mantasu]

Indeed, it would be great to have this feature:

def func[**P1, **P2, T](func1: Callable[P1, T], func2: Callable[P2, None]) -> Callable[Concatenate[P1, P2], T]: ...

Currently, as in PEP 612, Concatenate only allows a single ParamSpec.