import numbers import sys from types import TracebackType from typing import Any, Container, Dict, List, NamedTuple, Optional, Sequence, Text, Tuple, Type, TypeVar, Union, overload _Decimal = Union[Decimal, int] _DecimalNew = Union[Decimal, float, Text, Tuple[int, Sequence[int], int]] if sys.version_info >= (3,): _ComparableNum = Union[Decimal, float, numbers.Rational] else: _ComparableNum = Union[Decimal, float] _DecimalT = TypeVar("_DecimalT", bound=Decimal) class DecimalTuple(NamedTuple): sign: int digits: Tuple[int, ...] exponent: int ROUND_DOWN: str ROUND_HALF_UP: str ROUND_HALF_EVEN: str ROUND_CEILING: str ROUND_FLOOR: str ROUND_UP: str ROUND_HALF_DOWN: str ROUND_05UP: str if sys.version_info >= (3,): HAVE_THREADS: bool MAX_EMAX: int MAX_PREC: int MIN_EMIN: int MIN_ETINY: int class DecimalException(ArithmeticError): if sys.version_info < (3,): def handle(self, context: Context, *args: Any) -> Optional[Decimal]: ... class Clamped(DecimalException): ... class InvalidOperation(DecimalException): ... class ConversionSyntax(InvalidOperation): ... class DivisionByZero(DecimalException, ZeroDivisionError): ... class DivisionImpossible(InvalidOperation): ... class DivisionUndefined(InvalidOperation, ZeroDivisionError): ... class Inexact(DecimalException): ... class InvalidContext(InvalidOperation): ... class Rounded(DecimalException): ... class Subnormal(DecimalException): ... class Overflow(Inexact, Rounded): ... class Underflow(Inexact, Rounded, Subnormal): ... if sys.version_info >= (3,): class FloatOperation(DecimalException, TypeError): ... def setcontext(__context: Context) -> None: ... def getcontext() -> Context: ... def localcontext(ctx: Optional[Context] = ...) -> _ContextManager: ... class Decimal(object): def __new__(cls: Type[_DecimalT], value: _DecimalNew = ..., context: Optional[Context] = ...) -> _DecimalT: ... @classmethod def from_float(cls, __f: float) -> Decimal: ... if sys.version_info >= (3,): def __bool__(self) -> bool: ... else: def __nonzero__(self) -> bool: ... def __div__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rdiv__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __ne__(self, other: object, context: Optional[Context] = ...) -> bool: ... def compare(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __hash__(self) -> int: ... def as_tuple(self) -> DecimalTuple: ... if sys.version_info >= (3, 6): def as_integer_ratio(self) -> Tuple[int, int]: ... def to_eng_string(self, context: Optional[Context] = ...) -> str: ... if sys.version_info >= (3,): def __abs__(self) -> Decimal: ... def __add__(self, other: _Decimal) -> Decimal: ... def __divmod__(self, other: _Decimal) -> Tuple[Decimal, Decimal]: ... def __eq__(self, other: object) -> bool: ... def __floordiv__(self, other: _Decimal) -> Decimal: ... def __ge__(self, other: _ComparableNum) -> bool: ... def __gt__(self, other: _ComparableNum) -> bool: ... def __le__(self, other: _ComparableNum) -> bool: ... def __lt__(self, other: _ComparableNum) -> bool: ... def __mod__(self, other: _Decimal) -> Decimal: ... def __mul__(self, other: _Decimal) -> Decimal: ... def __neg__(self) -> Decimal: ... def __pos__(self) -> Decimal: ... def __pow__(self, other: _Decimal, modulo: Optional[_Decimal] = ...) -> Decimal: ... def __radd__(self, other: _Decimal) -> Decimal: ... def __rdivmod__(self, other: _Decimal) -> Tuple[Decimal, Decimal]: ... def __rfloordiv__(self, other: _Decimal) -> Decimal: ... def __rmod__(self, other: _Decimal) -> Decimal: ... def __rmul__(self, other: _Decimal) -> Decimal: ... def __rsub__(self, other: _Decimal) -> Decimal: ... def __rtruediv__(self, other: _Decimal) -> Decimal: ... def __str__(self) -> str: ... def __sub__(self, other: _Decimal) -> Decimal: ... def __truediv__(self, other: _Decimal) -> Decimal: ... else: def __abs__(self, round: bool = ..., context: Optional[Context] = ...) -> Decimal: ... def __add__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __divmod__(self, other: _Decimal, context: Optional[Context] = ...) -> Tuple[Decimal, Decimal]: ... def __eq__(self, other: object, context: Optional[Context] = ...) -> bool: ... def __floordiv__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __ge__(self, other: _ComparableNum, context: Optional[Context] = ...) -> bool: ... def __gt__(self, other: _ComparableNum, context: Optional[Context] = ...) -> bool: ... def __le__(self, other: _ComparableNum, context: Optional[Context] = ...) -> bool: ... def __lt__(self, other: _ComparableNum, context: Optional[Context] = ...) -> bool: ... def __mod__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __mul__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __neg__(self, context: Optional[Context] = ...) -> Decimal: ... def __pos__(self, context: Optional[Context] = ...) -> Decimal: ... def __pow__(self, other: _Decimal, modulo: Optional[_Decimal] = ..., context: Optional[Context] = ...) -> Decimal: ... def __radd__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rdivmod__(self, other: _Decimal, context: Optional[Context] = ...) -> Tuple[Decimal, Decimal]: ... def __rfloordiv__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rmod__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rmul__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rsub__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rtruediv__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __str__(self, eng: bool = ..., context: Optional[Context] = ...) -> str: ... def __sub__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __truediv__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def remainder_near(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __float__(self) -> float: ... def __int__(self) -> int: ... def __trunc__(self) -> int: ... @property def real(self) -> Decimal: ... @property def imag(self) -> Decimal: ... def conjugate(self) -> Decimal: ... def __complex__(self) -> complex: ... if sys.version_info >= (3,): @overload def __round__(self) -> int: ... @overload def __round__(self, ndigits: int) -> Decimal: ... def __floor__(self) -> int: ... def __ceil__(self) -> int: ... else: def __long__(self) -> long: ... def fma(self, other: _Decimal, third: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __rpow__(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def normalize(self, context: Optional[Context] = ...) -> Decimal: ... if sys.version_info >= (3,): def quantize(self, exp: _Decimal, rounding: Optional[str] = ..., context: Optional[Context] = ...) -> Decimal: ... def same_quantum(self, other: _Decimal, context: Optional[Context] = ...) -> bool: ... else: def quantize( self, exp: _Decimal, rounding: Optional[str] = ..., context: Optional[Context] = ..., watchexp: bool = ... ) -> Decimal: ... def same_quantum(self, other: _Decimal) -> bool: ... def to_integral_exact(self, rounding: Optional[str] = ..., context: Optional[Context] = ...) -> Decimal: ... def to_integral_value(self, rounding: Optional[str] = ..., context: Optional[Context] = ...) -> Decimal: ... def to_integral(self, rounding: Optional[str] = ..., context: Optional[Context] = ...) -> Decimal: ... def sqrt(self, context: Optional[Context] = ...) -> Decimal: ... def max(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def min(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def adjusted(self) -> int: ... if sys.version_info >= (3,): def canonical(self) -> Decimal: ... else: def canonical(self, context: Optional[Context] = ...) -> Decimal: ... def compare_signal(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... if sys.version_info >= (3,): def compare_total(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def compare_total_mag(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... else: def compare_total(self, other: _Decimal) -> Decimal: ... def compare_total_mag(self, other: _Decimal) -> Decimal: ... def copy_abs(self) -> Decimal: ... def copy_negate(self) -> Decimal: ... if sys.version_info >= (3,): def copy_sign(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... else: def copy_sign(self, other: _Decimal) -> Decimal: ... def exp(self, context: Optional[Context] = ...) -> Decimal: ... def is_canonical(self) -> bool: ... def is_finite(self) -> bool: ... def is_infinite(self) -> bool: ... def is_nan(self) -> bool: ... def is_normal(self, context: Optional[Context] = ...) -> bool: ... def is_qnan(self) -> bool: ... def is_signed(self) -> bool: ... def is_snan(self) -> bool: ... def is_subnormal(self, context: Optional[Context] = ...) -> bool: ... def is_zero(self) -> bool: ... def ln(self, context: Optional[Context] = ...) -> Decimal: ... def log10(self, context: Optional[Context] = ...) -> Decimal: ... def logb(self, context: Optional[Context] = ...) -> Decimal: ... def logical_and(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def logical_invert(self, context: Optional[Context] = ...) -> Decimal: ... def logical_or(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def logical_xor(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def max_mag(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def min_mag(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def next_minus(self, context: Optional[Context] = ...) -> Decimal: ... def next_plus(self, context: Optional[Context] = ...) -> Decimal: ... def next_toward(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def number_class(self, context: Optional[Context] = ...) -> str: ... def radix(self) -> Decimal: ... def rotate(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def scaleb(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def shift(self, other: _Decimal, context: Optional[Context] = ...) -> Decimal: ... def __reduce__(self) -> Tuple[Type[Decimal], Tuple[str]]: ... def __copy__(self) -> Decimal: ... def __deepcopy__(self, memo: Any) -> Decimal: ... def __format__(self, specifier: str, context: Optional[Context] = ...) -> str: ... class _ContextManager(object): new_context: Context saved_context: Context def __init__(self, new_context: Context) -> None: ... def __enter__(self) -> Context: ... def __exit__(self, t: Optional[Type[BaseException]], v: Optional[BaseException], tb: Optional[TracebackType]) -> None: ... _TrapType = Type[DecimalException] class Context(object): prec: int rounding: str Emin: int Emax: int capitals: int if sys.version_info >= (3,): clamp: int else: _clamp: int traps: Dict[_TrapType, bool] flags: Dict[_TrapType, bool] if sys.version_info >= (3,): def __init__( self, prec: Optional[int] = ..., rounding: Optional[str] = ..., Emin: Optional[int] = ..., Emax: Optional[int] = ..., capitals: Optional[int] = ..., clamp: Optional[int] = ..., flags: Union[None, Dict[_TrapType, bool], Container[_TrapType]] = ..., traps: Union[None, Dict[_TrapType, bool], Container[_TrapType]] = ..., _ignored_flags: Optional[List[_TrapType]] = ..., ) -> None: ... else: def __init__( self, prec: Optional[int] = ..., rounding: Optional[str] = ..., traps: Union[None, Dict[_TrapType, bool], Container[_TrapType]] = ..., flags: Union[None, Dict[_TrapType, bool], Container[_TrapType]] = ..., Emin: Optional[int] = ..., Emax: Optional[int] = ..., capitals: Optional[int] = ..., _clamp: Optional[int] = ..., _ignored_flags: Optional[List[_TrapType]] = ..., ) -> None: ... if sys.version_info >= (3,): # __setattr__() only allows to set a specific set of attributes, # already defined above. def __delattr__(self, name: str) -> None: ... def __reduce__(self) -> Tuple[Type[Context], Tuple[Any, ...]]: ... def clear_flags(self) -> None: ... if sys.version_info >= (3,): def clear_traps(self) -> None: ... def copy(self) -> Context: ... def __copy__(self) -> Context: ... __hash__: Any = ... def Etiny(self) -> int: ... def Etop(self) -> int: ... def create_decimal(self, __num: _DecimalNew = ...) -> Decimal: ... def create_decimal_from_float(self, __f: float) -> Decimal: ... def abs(self, __x: _Decimal) -> Decimal: ... def add(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def canonical(self, __x: Decimal) -> Decimal: ... def compare(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def compare_signal(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def compare_total(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def compare_total_mag(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def copy_abs(self, __x: _Decimal) -> Decimal: ... def copy_decimal(self, __x: _Decimal) -> Decimal: ... def copy_negate(self, __x: _Decimal) -> Decimal: ... def copy_sign(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def divide(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def divide_int(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def divmod(self, __x: _Decimal, __y: _Decimal) -> Tuple[Decimal, Decimal]: ... def exp(self, __x: _Decimal) -> Decimal: ... def fma(self, __x: _Decimal, __y: _Decimal, __z: _Decimal) -> Decimal: ... def is_canonical(self, __x: _Decimal) -> bool: ... def is_finite(self, __x: _Decimal) -> bool: ... def is_infinite(self, __x: _Decimal) -> bool: ... def is_nan(self, __x: _Decimal) -> bool: ... def is_normal(self, __x: _Decimal) -> bool: ... def is_qnan(self, __x: _Decimal) -> bool: ... def is_signed(self, __x: _Decimal) -> bool: ... def is_snan(self, __x: _Decimal) -> bool: ... def is_subnormal(self, __x: _Decimal) -> bool: ... def is_zero(self, __x: _Decimal) -> bool: ... def ln(self, __x: _Decimal) -> Decimal: ... def log10(self, __x: _Decimal) -> Decimal: ... def logb(self, __x: _Decimal) -> Decimal: ... def logical_and(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def logical_invert(self, __x: _Decimal) -> Decimal: ... def logical_or(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def logical_xor(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def max(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def max_mag(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def min(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def min_mag(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def minus(self, __x: _Decimal) -> Decimal: ... def multiply(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def next_minus(self, __x: _Decimal) -> Decimal: ... def next_plus(self, __x: _Decimal) -> Decimal: ... def next_toward(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def normalize(self, __x: _Decimal) -> Decimal: ... def number_class(self, __x: _Decimal) -> str: ... def plus(self, __x: _Decimal) -> Decimal: ... def power(self, a: _Decimal, b: _Decimal, modulo: Optional[_Decimal] = ...) -> Decimal: ... def quantize(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def radix(self) -> Decimal: ... def remainder(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def remainder_near(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def rotate(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def same_quantum(self, __x: _Decimal, __y: _Decimal) -> bool: ... def scaleb(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def shift(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def sqrt(self, __x: _Decimal) -> Decimal: ... def subtract(self, __x: _Decimal, __y: _Decimal) -> Decimal: ... def to_eng_string(self, __x: _Decimal) -> str: ... def to_sci_string(self, __x: _Decimal) -> str: ... def to_integral_exact(self, __x: _Decimal) -> Decimal: ... def to_integral_value(self, __x: _Decimal) -> Decimal: ... def to_integral(self, __x: _Decimal) -> Decimal: ... DefaultContext: Context BasicContext: Context ExtendedContext: Context