Use ParamSpec _lru_cache_wrapper

Closes: #11280

Author: srittau

stdlib/functools.pyi

@@ -25,7 +25,9 @@ __all__ = [
 
 _T = TypeVar("_T")
 _T_co = TypeVar("_T_co", covariant=True)
+_R = TypeVar("_R")
 _S = TypeVar("_S")
+_P = ParamSpec("_P")
 _PWrapped = ParamSpec("_PWrapped")
 _RWrapped = TypeVar("_RWrapped")
 _PWrapper = ParamSpec("_PWrapper")
@@ -54,19 +56,19 @@ class _CacheParameters(TypedDict):
     typed: bool
 
 @final
-class _lru_cache_wrapper(Generic[_T]):
-    __wrapped__: Callable[..., _T]
-    def __call__(self, *args: Hashable, **kwargs: Hashable) -> _T: ...
+class _lru_cache_wrapper(Generic[_P, _R]):
+    __wrapped__: Callable[_P, _R]
+    def __call__(self, *args: _P.args, **kwargs: _P.kwargs) -> _R: ...
     def cache_info(self) -> _CacheInfo: ...
     def cache_clear(self) -> None: ...
     def cache_parameters(self) -> _CacheParameters: ...
-    def __copy__(self) -> _lru_cache_wrapper[_T]: ...
-    def __deepcopy__(self, memo: Any, /) -> _lru_cache_wrapper[_T]: ...
+    def __copy__(self) -> _lru_cache_wrapper[_P, _R]: ...
+    def __deepcopy__(self, memo: Any, /) -> _lru_cache_wrapper[_P, _R]: ...
 
 @overload
-def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[..., _T]], _lru_cache_wrapper[_T]]: ...
+def lru_cache(maxsize: int | None = 128, typed: bool = False) -> Callable[[Callable[_P, _R]], _lru_cache_wrapper[_P, _R]]: ...
 @overload
-def lru_cache(maxsize: Callable[..., _T], typed: bool = False) -> _lru_cache_wrapper[_T]: ...
+def lru_cache(maxsize: Callable[_P, _R], typed: bool = False) -> _lru_cache_wrapper[_P, _R]: ...
 
 if sys.version_info >= (3, 14):
     WRAPPER_ASSIGNMENTS: Final[
@@ -237,7 +239,7 @@ class cached_property(Generic[_T_co]):
     def __set__(self, instance: object, value: _T_co) -> None: ...  # type: ignore[misc]  # pyright: ignore[reportGeneralTypeIssues]
     def __class_getitem__(cls, item: Any, /) -> GenericAlias: ...
 
-def cache(user_function: Callable[..., _T], /) -> _lru_cache_wrapper[_T]: ...
+def cache(user_function: Callable[_P, _R], /) -> _lru_cache_wrapper[_P, _R]: ...
 def _make_key(
     args: tuple[Hashable, ...],
     kwds: SupportsItems[Any, Any],