from collections.abc import Callable
from typing import Any, Literal, TypeVar

from sympy.core.basic import Basic
from sympy.core.cache import cacheit
from sympy.core.function import UndefinedFunction
from sympy.utilities.misc import debug_decorator as debug

_CallableT = TypeVar("_CallableT", bound=Callable)

def timeit(func: _CallableT) -> _CallableT: ...
def compare(a, b, x) -> Literal["<", ">", "="]: ...

class SubsSet(dict):
    def __init__(self) -> None: ...
    def __getitem__(self, key): ...
    def do_subs(self, e): ...
    def meets(self, s2) -> bool: ...
    def union(self, s2, exps=...) -> tuple[SubsSet, Any | None]: ...
    def copy(self) -> SubsSet: ...

@debug
def mrv(
    e, x
) -> (
    tuple[SubsSet, Basic]
    | tuple[SubsSet, Any]
    | tuple[Any, Basic]
    | tuple[Any, Any]
    | tuple[SubsSet, Any | Literal[1]]
    | tuple[Any, type[UndefinedFunction] | Any]
): ...
def mrv_max3(f, expsf, g, expsg, union, expsboth, x) -> tuple[SubsSet, Any] | tuple[Any, Any]: ...
def mrv_max1(f, g, exps, x) -> tuple[SubsSet, Any] | tuple[Any, Any]: ...
@debug
@cacheit
@timeit
def sign(e, x) -> type[UndefinedFunction] | Literal[1, -1, 0]: ...
@debug
@timeit
@cacheit
def limitinf(e, x): ...
def moveup2(s, x) -> SubsSet: ...
def moveup(l, x) -> list[Any]: ...
@debug
@timeit
def calculate_series(e, x, logx=...) -> bool | Basic: ...
@debug
@timeit
@cacheit
def mrv_leadterm(e, x) -> tuple[Any, Any] | tuple[Basic | Any | type[UndefinedFunction] | Literal[1], Any]: ...
def build_expression_tree(Omega, rewrites) -> dict[Any, Any]: ...
@debug
@timeit
def rewrite(e, Omega, x, wsym) -> tuple[Any, Any]: ...
def gruntz(e, z, z0, dir=...): ...