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Allow math functions to accept objects implementing the __index__ protocol #6211

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125 changes: 67 additions & 58 deletions stdlib/math.pyi
Original file line number Diff line number Diff line change
@@ -1,101 +1,110 @@
import sys
from _typeshed import SupportsTrunc
from typing import Iterable, SupportsFloat, SupportsInt, overload
from typing import Iterable, SupportsFloat, Union, overload
from typing_extensions import SupportsIndex

_SupportsFloatOrIndex = Union[SupportsFloat, SupportsIndex]

e: float
pi: float
inf: float
nan: float
tau: float

def acos(__x: SupportsFloat) -> float: ...
def acosh(__x: SupportsFloat) -> float: ...
def asin(__x: SupportsFloat) -> float: ...
def asinh(__x: SupportsFloat) -> float: ...
def atan(__x: SupportsFloat) -> float: ...
def atan2(__y: SupportsFloat, __x: SupportsFloat) -> float: ...
def atanh(__x: SupportsFloat) -> float: ...
def ceil(__x: SupportsFloat) -> int: ...
def acos(__x: _SupportsFloatOrIndex) -> float: ...
def acosh(__x: _SupportsFloatOrIndex) -> float: ...
def asin(__x: _SupportsFloatOrIndex) -> float: ...
def asinh(__x: _SupportsFloatOrIndex) -> float: ...
def atan(__x: _SupportsFloatOrIndex) -> float: ...
def atan2(__y: _SupportsFloatOrIndex, __x: _SupportsFloatOrIndex) -> float: ...
def atanh(__x: _SupportsFloatOrIndex) -> float: ...
def ceil(__x: _SupportsFloatOrIndex) -> int: ...

if sys.version_info >= (3, 8):
def comb(__n: int, __k: int) -> int: ...
def comb(__n: SupportsIndex, __k: SupportsIndex) -> int: ...

def copysign(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
def cos(__x: SupportsFloat) -> float: ...
def cosh(__x: SupportsFloat) -> float: ...
def degrees(__x: SupportsFloat) -> float: ...
def copysign(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...
def cos(__x: _SupportsFloatOrIndex) -> float: ...
def cosh(__x: _SupportsFloatOrIndex) -> float: ...
def degrees(__x: _SupportsFloatOrIndex) -> float: ...

if sys.version_info >= (3, 8):
def dist(__p: Iterable[SupportsFloat], __q: Iterable[SupportsFloat]) -> float: ...

def erf(__x: SupportsFloat) -> float: ...
def erfc(__x: SupportsFloat) -> float: ...
def exp(__x: SupportsFloat) -> float: ...
def expm1(__x: SupportsFloat) -> float: ...
def fabs(__x: SupportsFloat) -> float: ...
def factorial(__x: SupportsInt) -> int: ...
def floor(__x: SupportsFloat) -> int: ...
def fmod(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
def frexp(__x: SupportsFloat) -> tuple[float, int]: ...
def fsum(__seq: Iterable[float]) -> float: ...
def gamma(__x: SupportsFloat) -> float: ...
def dist(__p: Iterable[_SupportsFloatOrIndex], __q: Iterable[_SupportsFloatOrIndex]) -> float: ...

def erf(__x: _SupportsFloatOrIndex) -> float: ...
def erfc(__x: _SupportsFloatOrIndex) -> float: ...
def exp(__x: _SupportsFloatOrIndex) -> float: ...
def expm1(__x: _SupportsFloatOrIndex) -> float: ...
def fabs(__x: _SupportsFloatOrIndex) -> float: ...
def factorial(__x: SupportsIndex) -> int: ...
def floor(__x: _SupportsFloatOrIndex) -> int: ...
def fmod(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...
def frexp(__x: _SupportsFloatOrIndex) -> tuple[float, int]: ...
def fsum(__seq: Iterable[_SupportsFloatOrIndex]) -> float: ...
def gamma(__x: _SupportsFloatOrIndex) -> float: ...

if sys.version_info >= (3, 9):
def gcd(*integers: int) -> int: ...
def gcd(*integers: SupportsIndex) -> int: ...

else:
def gcd(__x: int, __y: int) -> int: ...
def gcd(__x: SupportsIndex, __y: SupportsIndex) -> int: ...

if sys.version_info >= (3, 8):
def hypot(*coordinates: SupportsFloat) -> float: ...
def hypot(*coordinates: _SupportsFloatOrIndex) -> float: ...

else:
def hypot(__x: SupportsFloat, __y: SupportsFloat) -> float: ...

def isclose(a: SupportsFloat, b: SupportsFloat, *, rel_tol: SupportsFloat = ..., abs_tol: SupportsFloat = ...) -> bool: ...
def isinf(__x: SupportsFloat) -> bool: ...
def isfinite(__x: SupportsFloat) -> bool: ...
def isnan(__x: SupportsFloat) -> bool: ...
def hypot(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...

def isclose(
a: _SupportsFloatOrIndex,
b: _SupportsFloatOrIndex,
*,
rel_tol: _SupportsFloatOrIndex = ...,
abs_tol: _SupportsFloatOrIndex = ...,
) -> bool: ...
def isinf(__x: _SupportsFloatOrIndex) -> bool: ...
def isfinite(__x: _SupportsFloatOrIndex) -> bool: ...
def isnan(__x: _SupportsFloatOrIndex) -> bool: ...

if sys.version_info >= (3, 8):
def isqrt(__n: int) -> int: ...
def isqrt(__n: SupportsIndex) -> int: ...

if sys.version_info >= (3, 9):
def lcm(*integers: int) -> int: ...
def lcm(*integers: SupportsIndex) -> int: ...

def ldexp(__x: SupportsFloat, __i: int) -> float: ...
def lgamma(__x: SupportsFloat) -> float: ...
def log(x: SupportsFloat, base: SupportsFloat = ...) -> float: ...
def log10(__x: SupportsFloat) -> float: ...
def log1p(__x: SupportsFloat) -> float: ...
def log2(__x: SupportsFloat) -> float: ...
def modf(__x: SupportsFloat) -> tuple[float, float]: ...
def ldexp(__x: _SupportsFloatOrIndex, __i: int) -> float: ...
def lgamma(__x: _SupportsFloatOrIndex) -> float: ...
def log(x: _SupportsFloatOrIndex, base: _SupportsFloatOrIndex = ...) -> float: ...
def log10(__x: _SupportsFloatOrIndex) -> float: ...
def log1p(__x: _SupportsFloatOrIndex) -> float: ...
def log2(__x: _SupportsFloatOrIndex) -> float: ...
def modf(__x: _SupportsFloatOrIndex) -> tuple[float, float]: ...

if sys.version_info >= (3, 9):
def nextafter(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
def nextafter(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...

if sys.version_info >= (3, 8):
def perm(__n: int, __k: int | None = ...) -> int: ...
def perm(__n: SupportsIndex, __k: SupportsIndex | None = ...) -> int: ...

def pow(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
def pow(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...

if sys.version_info >= (3, 8):
@overload
def prod(__iterable: Iterable[int], *, start: int = ...) -> int: ... # type: ignore
def prod(__iterable: Iterable[SupportsIndex], *, start: SupportsIndex = ...) -> int: ... # type: ignore
@overload
def prod(__iterable: Iterable[SupportsFloat], *, start: SupportsFloat = ...) -> float: ...
def prod(__iterable: Iterable[_SupportsFloatOrIndex], *, start: _SupportsFloatOrIndex = ...) -> float: ...

def radians(__x: SupportsFloat) -> float: ...
def radians(__x: _SupportsFloatOrIndex) -> float: ...

if sys.version_info >= (3, 7):
def remainder(__x: SupportsFloat, __y: SupportsFloat) -> float: ...
def remainder(__x: _SupportsFloatOrIndex, __y: _SupportsFloatOrIndex) -> float: ...

def sin(__x: SupportsFloat) -> float: ...
def sinh(__x: SupportsFloat) -> float: ...
def sqrt(__x: SupportsFloat) -> float: ...
def tan(__x: SupportsFloat) -> float: ...
def tanh(__x: SupportsFloat) -> float: ...
def sin(__x: _SupportsFloatOrIndex) -> float: ...
def sinh(__x: _SupportsFloatOrIndex) -> float: ...
def sqrt(__x: _SupportsFloatOrIndex) -> float: ...
def tan(__x: _SupportsFloatOrIndex) -> float: ...
def tanh(__x: _SupportsFloatOrIndex) -> float: ...
def trunc(__x: SupportsTrunc) -> int: ...

if sys.version_info >= (3, 9):
def ulp(__x: SupportsFloat) -> float: ...
def ulp(__x: _SupportsFloatOrIndex) -> float: ...