704 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
		
		
			
		
	
	
			704 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
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								import builtins
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								from collections.abc import Callable
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								from typing import Any, Literal, overload
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								import numpy as np
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								from numpy import (
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								    dtype,
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								    float64,
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								    int8,
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								    int16,
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								    int32,
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								    int64,
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								    int_,
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								    long,
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								    uint,
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								    uint8,
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								    uint16,
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								    uint32,
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								    uint64,
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								    ulong,
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								)
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								from numpy._typing import (
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								    ArrayLike,
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								    NDArray,
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								    _ArrayLikeFloat_co,
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								    _ArrayLikeInt_co,
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								    _DTypeLikeBool,
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								    _Int8Codes,
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								    _Int16Codes,
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								    _Int32Codes,
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								    _Int64Codes,
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								    _IntCodes,
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								    _LongCodes,
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								    _ShapeLike,
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								    _SupportsDType,
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								    _UInt8Codes,
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								    _UInt16Codes,
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								    _UInt32Codes,
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								    _UInt64Codes,
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								    _UIntCodes,
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								    _ULongCodes,
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								)
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								from numpy.random.bit_generator import BitGenerator
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								class RandomState:
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								    _bit_generator: BitGenerator
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								    def __init__(self, seed: _ArrayLikeInt_co | BitGenerator | None = ...) -> None: ...
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								    def __repr__(self) -> str: ...
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								    def __str__(self) -> str: ...
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								    def __getstate__(self) -> dict[str, Any]: ...
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								    def __setstate__(self, state: dict[str, Any]) -> None: ...
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								    def __reduce__(self) -> tuple[Callable[[BitGenerator], RandomState], tuple[BitGenerator], dict[str, Any]]: ...  # noqa: E501
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								    def seed(self, seed: _ArrayLikeFloat_co | None = ...) -> None: ...
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								    @overload
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								    def get_state(self, legacy: Literal[False] = ...) -> dict[str, Any]: ...
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								    @overload
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								    def get_state(
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								        self, legacy: Literal[True] = ...
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								    ) -> dict[str, Any] | tuple[str, NDArray[uint32], int, int, float]: ...
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								    def set_state(
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								        self, state: dict[str, Any] | tuple[str, NDArray[uint32], int, int, float]
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								    ) -> None: ...
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								    @overload
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								    def random_sample(self, size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def random_sample(self, size: _ShapeLike) -> NDArray[float64]: ...
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								    @overload
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								    def random(self, size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def random(self, size: _ShapeLike) -> NDArray[float64]: ...
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								    @overload
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								    def beta(self, a: float, b: float, size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def beta(
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								        self,
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								        a: _ArrayLikeFloat_co,
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								        b: _ArrayLikeFloat_co,
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								        size: _ShapeLike | None = ...
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def exponential(self, scale: float = ..., size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def exponential(
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								        self, scale: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...
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								    ) -> NDArray[float64]: ...
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								    @overload
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								    def standard_exponential(self, size: None = ...) -> float: ...  # type: ignore[misc]
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								    @overload
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								    def standard_exponential(self, size: _ShapeLike) -> NDArray[float64]: ...
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								    @overload
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								    def tomaxint(self, size: None = ...) -> int: ...  # type: ignore[misc]
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								    @overload
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								    # Generates long values, but stores it in a 64bit int:
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								    def tomaxint(self, size: _ShapeLike) -> NDArray[int64]: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								    ) -> int: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: type[bool] = ...,
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								    ) -> bool: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: type[np.bool] = ...,
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								    ) -> np.bool: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: type[int] = ...,
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								    ) -> int: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[uint8] | type[uint8] | _UInt8Codes | _SupportsDType[dtype[uint8]] = ...,  # noqa: E501
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								    ) -> uint8: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[uint16] | type[uint16] | _UInt16Codes | _SupportsDType[dtype[uint16]] = ...,  # noqa: E501
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								    ) -> uint16: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[uint32] | type[uint32] | _UInt32Codes | _SupportsDType[dtype[uint32]] = ...,  # noqa: E501
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								    ) -> uint32: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[uint] | type[uint] | _UIntCodes | _SupportsDType[dtype[uint]] = ...,  # noqa: E501
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								    ) -> uint: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[ulong] | type[ulong] | _ULongCodes | _SupportsDType[dtype[ulong]] = ...,  # noqa: E501
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								    ) -> ulong: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[uint64] | type[uint64] | _UInt64Codes | _SupportsDType[dtype[uint64]] = ...,  # noqa: E501
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								    ) -> uint64: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[int8] | type[int8] | _Int8Codes | _SupportsDType[dtype[int8]] = ...,  # noqa: E501
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								    ) -> int8: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[int16] | type[int16] | _Int16Codes | _SupportsDType[dtype[int16]] = ...,  # noqa: E501
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								    ) -> int16: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[int32] | type[int32] | _Int32Codes | _SupportsDType[dtype[int32]] = ...,  # noqa: E501
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								    ) -> int32: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[int_] | type[int_] | _IntCodes | _SupportsDType[dtype[int_]] = ...,  # noqa: E501
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								    ) -> int_: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[long] | type[long] | _LongCodes | _SupportsDType[dtype[long]] = ...,  # noqa: E501
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								    ) -> long: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: int,
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								        high: int | None = ...,
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								        size: None = ...,
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								        dtype: dtype[int64] | type[int64] | _Int64Codes | _SupportsDType[dtype[int64]] = ...,  # noqa: E501
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								    ) -> int64: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = ...,
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								        size: _ShapeLike | None = ...,
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								    ) -> NDArray[long]: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = ...,
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								        size: _ShapeLike | None = ...,
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								        dtype: _DTypeLikeBool = ...,
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								    ) -> NDArray[np.bool]: ...
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								    @overload
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = ...,
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								        size: _ShapeLike | None = ...,
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								        dtype: dtype[int8] | type[int8] | _Int8Codes | _SupportsDType[dtype[int8]] = ...,  # noqa: E501
							 | 
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								    ) -> NDArray[int8]: ...
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								    @overload
							 | 
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								    def randint(  # type: ignore[misc]
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								        self,
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								        low: _ArrayLikeInt_co,
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								        high: _ArrayLikeInt_co | None = ...,
							 | 
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								        size: _ShapeLike | None = ...,
							 | 
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								        dtype: dtype[int16] | type[int16] | _Int16Codes | _SupportsDType[dtype[int16]] = ...,  # noqa: E501
							 | 
						||
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								    ) -> NDArray[int16]: ...
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								 | 
							
								    @overload
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						||
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								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[int32] | type[int32] | _Int32Codes | _SupportsDType[dtype[int32]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int32]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[int64] | type[int64] | _Int64Codes | _SupportsDType[dtype[int64]] | None = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[int64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[uint8] | type[uint8] | _UInt8Codes | _SupportsDType[dtype[uint8]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[uint8]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[uint16] | type[uint16] | _UInt16Codes | _SupportsDType[dtype[uint16]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[uint16]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[uint32] | type[uint32] | _UInt32Codes | _SupportsDType[dtype[uint32]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[uint32]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[uint64] | type[uint64] | _UInt64Codes | _SupportsDType[dtype[uint64]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[uint64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[long] | type[int] | type[long] | _LongCodes | _SupportsDType[dtype[long]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randint(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        dtype: dtype[ulong] | type[ulong] | _ULongCodes | _SupportsDType[dtype[ulong]] = ...,  # noqa: E501
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[ulong]: ...
							 | 
						||
| 
								 | 
							
								    def bytes(self, length: int) -> builtins.bytes: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: int,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> int: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: int,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: ArrayLike,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> Any: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def choice(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        a: ArrayLike,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike = ...,
							 | 
						||
| 
								 | 
							
								        replace: bool = ...,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[Any]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def uniform(
							 | 
						||
| 
								 | 
							
								        self, low: float = ..., high: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def uniform(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def rand(self) -> float: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def rand(self, *args: int) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randn(self) -> float: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def randn(self, *args: int) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def random_integers(
							 | 
						||
| 
								 | 
							
								        self, low: int, high: int | None = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def random_integers(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        low: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        high: _ArrayLikeInt_co | None = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_normal(self, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_normal(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self, size: _ShapeLike = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def normal(
							 | 
						||
| 
								 | 
							
								        self, loc: float = ..., scale: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def normal(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        loc: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: float,
							 | 
						||
| 
								 | 
							
								        size: None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> float: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def gamma(self, shape: float, scale: float = ..., size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def gamma(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        shape: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def f(self, dfnum: float, dfden: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def f(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        dfnum: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        dfden: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def noncentral_f(
							 | 
						||
| 
								 | 
							
								        self, dfnum: float, dfden: float, nonc: float, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def noncentral_f(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        dfnum: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        dfden: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        nonc: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def chisquare(self, df: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def chisquare(
							 | 
						||
| 
								 | 
							
								        self, df: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def noncentral_chisquare(
							 | 
						||
| 
								 | 
							
								        self, df: float, nonc: float, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def noncentral_chisquare(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        df: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        nonc: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_t(self, df: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_t(
							 | 
						||
| 
								 | 
							
								        self, df: _ArrayLikeFloat_co, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_t(
							 | 
						||
| 
								 | 
							
								        self, df: _ArrayLikeFloat_co, size: _ShapeLike = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def vonmises(self, mu: float, kappa: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def vonmises(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        mu: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        kappa: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def pareto(self, a: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def pareto(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def weibull(self, a: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def weibull(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def power(self, a: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def power(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_cauchy(self, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def standard_cauchy(self, size: _ShapeLike = ...) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def laplace(
							 | 
						||
| 
								 | 
							
								        self, loc: float = ..., scale: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def laplace(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        loc: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def gumbel(
							 | 
						||
| 
								 | 
							
								        self, loc: float = ..., scale: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def gumbel(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        loc: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logistic(
							 | 
						||
| 
								 | 
							
								        self, loc: float = ..., scale: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logistic(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        loc: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def lognormal(
							 | 
						||
| 
								 | 
							
								        self, mean: float = ..., sigma: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def lognormal(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        mean: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        sigma: _ArrayLikeFloat_co = ...,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def rayleigh(self, scale: float = ..., size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def rayleigh(
							 | 
						||
| 
								 | 
							
								        self, scale: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def wald(self, mean: float, scale: float, size: None = ...) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def wald(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        mean: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        scale: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def triangular(
							 | 
						||
| 
								 | 
							
								        self, left: float, mode: float, right: float, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> float: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def triangular(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        left: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        mode: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        right: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def binomial(
							 | 
						||
| 
								 | 
							
								        self, n: int, p: float, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def binomial(
							 | 
						||
| 
								 | 
							
								        self, n: _ArrayLikeInt_co, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def negative_binomial(
							 | 
						||
| 
								 | 
							
								        self, n: float, p: float, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def negative_binomial(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        n: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        p: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def poisson(
							 | 
						||
| 
								 | 
							
								        self, lam: float = ..., size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def poisson(
							 | 
						||
| 
								 | 
							
								        self, lam: _ArrayLikeFloat_co = ..., size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def zipf(self, a: float, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def zipf(
							 | 
						||
| 
								 | 
							
								        self, a: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def geometric(self, p: float, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def geometric(
							 | 
						||
| 
								 | 
							
								        self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def hypergeometric(
							 | 
						||
| 
								 | 
							
								        self, ngood: int, nbad: int, nsample: int, size: None = ...
							 | 
						||
| 
								 | 
							
								    ) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def hypergeometric(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        ngood: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        nbad: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        nsample: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logseries(self, p: float, size: None = ...) -> int: ...  # type: ignore[misc]
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def logseries(
							 | 
						||
| 
								 | 
							
								        self, p: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    def multivariate_normal(
							 | 
						||
| 
								 | 
							
								        self,
							 | 
						||
| 
								 | 
							
								        mean: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        cov: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...,
							 | 
						||
| 
								 | 
							
								        check_valid: Literal["warn", "raise", "ignore"] = ...,
							 | 
						||
| 
								 | 
							
								        tol: float = ...,
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    def multinomial(
							 | 
						||
| 
								 | 
							
								        self, n: _ArrayLikeInt_co,
							 | 
						||
| 
								 | 
							
								        pvals: _ArrayLikeFloat_co,
							 | 
						||
| 
								 | 
							
								        size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    def dirichlet(
							 | 
						||
| 
								 | 
							
								        self, alpha: _ArrayLikeFloat_co, size: _ShapeLike | None = ...
							 | 
						||
| 
								 | 
							
								    ) -> NDArray[float64]: ...
							 | 
						||
| 
								 | 
							
								    def shuffle(self, x: ArrayLike) -> None: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def permutation(self, x: int) -> NDArray[long]: ...
							 | 
						||
| 
								 | 
							
								    @overload
							 | 
						||
| 
								 | 
							
								    def permutation(self, x: ArrayLike) -> NDArray[Any]: ...
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								_rand: RandomState
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								beta = _rand.beta
							 | 
						||
| 
								 | 
							
								binomial = _rand.binomial
							 | 
						||
| 
								 | 
							
								bytes = _rand.bytes
							 | 
						||
| 
								 | 
							
								chisquare = _rand.chisquare
							 | 
						||
| 
								 | 
							
								choice = _rand.choice
							 | 
						||
| 
								 | 
							
								dirichlet = _rand.dirichlet
							 | 
						||
| 
								 | 
							
								exponential = _rand.exponential
							 | 
						||
| 
								 | 
							
								f = _rand.f
							 | 
						||
| 
								 | 
							
								gamma = _rand.gamma
							 | 
						||
| 
								 | 
							
								get_state = _rand.get_state
							 | 
						||
| 
								 | 
							
								geometric = _rand.geometric
							 | 
						||
| 
								 | 
							
								gumbel = _rand.gumbel
							 | 
						||
| 
								 | 
							
								hypergeometric = _rand.hypergeometric
							 | 
						||
| 
								 | 
							
								laplace = _rand.laplace
							 | 
						||
| 
								 | 
							
								logistic = _rand.logistic
							 | 
						||
| 
								 | 
							
								lognormal = _rand.lognormal
							 | 
						||
| 
								 | 
							
								logseries = _rand.logseries
							 | 
						||
| 
								 | 
							
								multinomial = _rand.multinomial
							 | 
						||
| 
								 | 
							
								multivariate_normal = _rand.multivariate_normal
							 | 
						||
| 
								 | 
							
								negative_binomial = _rand.negative_binomial
							 | 
						||
| 
								 | 
							
								noncentral_chisquare = _rand.noncentral_chisquare
							 | 
						||
| 
								 | 
							
								noncentral_f = _rand.noncentral_f
							 | 
						||
| 
								 | 
							
								normal = _rand.normal
							 | 
						||
| 
								 | 
							
								pareto = _rand.pareto
							 | 
						||
| 
								 | 
							
								permutation = _rand.permutation
							 | 
						||
| 
								 | 
							
								poisson = _rand.poisson
							 | 
						||
| 
								 | 
							
								power = _rand.power
							 | 
						||
| 
								 | 
							
								rand = _rand.rand
							 | 
						||
| 
								 | 
							
								randint = _rand.randint
							 | 
						||
| 
								 | 
							
								randn = _rand.randn
							 | 
						||
| 
								 | 
							
								random = _rand.random
							 | 
						||
| 
								 | 
							
								random_integers = _rand.random_integers
							 | 
						||
| 
								 | 
							
								random_sample = _rand.random_sample
							 | 
						||
| 
								 | 
							
								rayleigh = _rand.rayleigh
							 | 
						||
| 
								 | 
							
								seed = _rand.seed
							 | 
						||
| 
								 | 
							
								set_state = _rand.set_state
							 | 
						||
| 
								 | 
							
								shuffle = _rand.shuffle
							 | 
						||
| 
								 | 
							
								standard_cauchy = _rand.standard_cauchy
							 | 
						||
| 
								 | 
							
								standard_exponential = _rand.standard_exponential
							 | 
						||
| 
								 | 
							
								standard_gamma = _rand.standard_gamma
							 | 
						||
| 
								 | 
							
								standard_normal = _rand.standard_normal
							 | 
						||
| 
								 | 
							
								standard_t = _rand.standard_t
							 | 
						||
| 
								 | 
							
								triangular = _rand.triangular
							 | 
						||
| 
								 | 
							
								uniform = _rand.uniform
							 | 
						||
| 
								 | 
							
								vonmises = _rand.vonmises
							 | 
						||
| 
								 | 
							
								wald = _rand.wald
							 | 
						||
| 
								 | 
							
								weibull = _rand.weibull
							 | 
						||
| 
								 | 
							
								zipf = _rand.zipf
							 | 
						||
| 
								 | 
							
								# Two legacy that are trivial wrappers around random_sample
							 | 
						||
| 
								 | 
							
								sample = _rand.random_sample
							 | 
						||
| 
								 | 
							
								ranf = _rand.random_sample
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								def set_bit_generator(bitgen: BitGenerator) -> None: ...
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								def get_bit_generator() -> BitGenerator: ...
							 |