import sys
from typing import SupportsComplex, SupportsFloat, Union

if sys.version_info >= (3, 8):
    from typing import SupportsIndex

e: float
pi: float
inf: float
infj: complex
nan: float
nanj: complex
tau: float

if sys.version_info >= (3, 8):
    _C = Union[SupportsFloat, SupportsComplex, SupportsIndex, complex]
else:
    _C = Union[SupportsFloat, SupportsComplex, complex]

def acos(__z: _C) -> complex: ...
def acosh(__z: _C) -> complex: ...
def asin(__z: _C) -> complex: ...
def asinh(__z: _C) -> complex: ...
def atan(__z: _C) -> complex: ...
def atanh(__z: _C) -> complex: ...
def cos(__z: _C) -> complex: ...
def cosh(__z: _C) -> complex: ...
def exp(__z: _C) -> complex: ...
def isclose(a: _C, b: _C, *, rel_tol: SupportsFloat = ..., abs_tol: SupportsFloat = ...) -> bool: ...
def isinf(__z: _C) -> bool: ...
def isnan(__z: _C) -> bool: ...
def log(__x: _C, __y_obj: _C = ...) -> complex: ...
def log10(__z: _C) -> complex: ...
def phase(__z: _C) -> float: ...
def polar(__z: _C) -> tuple[float, float]: ...
def rect(__r: float, __phi: float) -> complex: ...
def sin(__z: _C) -> complex: ...
def sinh(__z: _C) -> complex: ...
def sqrt(__z: _C) -> complex: ...
def tan(__z: _C) -> complex: ...
def tanh(__z: _C) -> complex: ...
def isfinite(__z: _C) -> bool: ...