from typing import Optional, Union, Callable RandFunc = Callable[[int],int] class IntegerBase: def __init__(self, value: Union[IntegerBase, int]): ... def __int__(self) -> int: ... def __str__(self) -> str: ... def __repr__(self) -> str: ... def to_bytes(self, block_size: Optional[int]=0, byteorder: str= ...) -> bytes: ... @staticmethod def from_bytes(byte_string: bytes, byteorder: Optional[str] = ...) -> IntegerBase: ... def __eq__(self, term: object) -> bool: ... def __ne__(self, term: object) -> bool: ... def __lt__(self, term: Union[IntegerBase, int]) -> bool: ... def __le__(self, term: Union[IntegerBase, int]) -> bool: ... def __gt__(self, term: Union[IntegerBase, int]) -> bool: ... def __ge__(self, term: Union[IntegerBase, int]) -> bool: ... def __nonzero__(self) -> bool: ... def is_negative(self) -> bool: ... def __add__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __sub__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __mul__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __floordiv__(self, divisor: Union[IntegerBase, int]) -> IntegerBase: ... def __mod__(self, divisor: Union[IntegerBase, int]) -> IntegerBase: ... def inplace_pow(self, exponent: int, modulus: Optional[Union[IntegerBase, int]]=None) -> IntegerBase: ... def __pow__(self, exponent: int, modulus: Optional[int]) -> IntegerBase: ... def __abs__(self) -> IntegerBase: ... def sqrt(self, modulus: Optional[int]) -> IntegerBase: ... def __iadd__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __isub__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __imul__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __imod__(self, divisor: Union[IntegerBase, int]) -> IntegerBase: ... def __and__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __or__(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def __rshift__(self, pos: Union[IntegerBase, int]) -> IntegerBase: ... def __irshift__(self, pos: Union[IntegerBase, int]) -> IntegerBase: ... def __lshift__(self, pos: Union[IntegerBase, int]) -> IntegerBase: ... def __ilshift__(self, pos: Union[IntegerBase, int]) -> IntegerBase: ... def get_bit(self, n: int) -> bool: ... def is_odd(self) -> bool: ... def is_even(self) -> bool: ... def size_in_bits(self) -> int: ... def size_in_bytes(self) -> int: ... def is_perfect_square(self) -> bool: ... def fail_if_divisible_by(self, small_prime: Union[IntegerBase, int]) -> None: ... def multiply_accumulate(self, a: Union[IntegerBase, int], b: Union[IntegerBase, int]) -> IntegerBase: ... def set(self, source: Union[IntegerBase, int]) -> IntegerBase: ... def inplace_inverse(self, modulus: Union[IntegerBase, int]) -> IntegerBase: ... def inverse(self, modulus: Union[IntegerBase, int]) -> IntegerBase: ... def gcd(self, term: Union[IntegerBase, int]) -> IntegerBase: ... def lcm(self, term: Union[IntegerBase, int]) -> IntegerBase: ... @staticmethod def jacobi_symbol(a: Union[IntegerBase, int], n: Union[IntegerBase, int]) -> IntegerBase: ... @staticmethod def _tonelli_shanks(n: Union[IntegerBase, int], p: Union[IntegerBase, int]) -> IntegerBase : ... @classmethod def random(cls, **kwargs: Union[int,RandFunc]) -> IntegerBase : ... @classmethod def random_range(cls, **kwargs: Union[int,RandFunc]) -> IntegerBase : ...